tag:blogger.com,1999:blog-74529532803374611862026-10-17T05:17:30.782+07:00CIE Math SolutionsCambridge International Math Examination past paper items with detailed solutions. It includes past papers and marks schemes for IGCSE Mathematics (0580), Additional Mathematics (0606), AS and A Level Mathematics (9709). The AS and A Level Mathematics consists of Pure Mathematics (1,2 and 3), Mechanics (1 and 2) and Statistics (1 and 2).
The site also provides review/revision materials and other resources for IGCSE Math, Additional Math, and AS and A Level Maths. Mathrealmhttp://www.blogger.com/profile/16711188711345790448noreply@blogger.comBlogger109125tag:blogger.com,1999:blog-7452953280337461186.post-48875246745130548952024-05-10T21:01:00.002+07:002024-05-23T20:26:36.799+07:00Cambridge AS Level Mathematics 9709 (Probability & Statistics 1) Past Paper Items on Permutations, Combinations, Binomial, Geometric and Normal Distribution<div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnxkty-d-Vi6tGN6xOwgmVn35eLPg1MGzRstbqJs5u9PEfQQFGJ4JoP20FIfddxNPJcMp89lUjg5N0NBOxNXKCs9GkE8mX0eImfFEiLH83nwQRNGnl5_M25-ZglaaSlq_FQAiHyKsl8M5CpQJMQaatOkRiSpqOr2j-RvjZr9xTaYh6nXMcY3KHdqlN8eYd/s3200/Past%20Paper%20Items%20on%20Normal%20Distribution%20%5BPart%202%5D%20thumbnail%20FINAL.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="normal distribution, normal curve, discrete random variables, probability, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics, standard normal distribution, normal distribution table" border="0" data-original-height="1800" data-original-width="3200" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnxkty-d-Vi6tGN6xOwgmVn35eLPg1MGzRstbqJs5u9PEfQQFGJ4JoP20FIfddxNPJcMp89lUjg5N0NBOxNXKCs9GkE8mX0eImfFEiLH83nwQRNGnl5_M25-ZglaaSlq_FQAiHyKsl8M5CpQJMQaatOkRiSpqOr2j-RvjZr9xTaYh6nXMcY3KHdqlN8eYd/w640-h360/Past%20Paper%20Items%20on%20Normal%20Distribution%20%5BPart%202%5D%20thumbnail%20FINAL.png" title="Past paper items on permutations, combinations, discrete random variables and normal distribution" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability & Statistics 1 / The Normal Distribution</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Probability Concepts</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Permutations and Combinations</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Discrete Random Variables</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Binomial Distribution</span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Geometric Distribution</span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > The Normal Curve</span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Normal Distribution</span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Normal Approximations</span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Normal Distribution</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbSktKmnrtbxh7E1dg3sY4rioatituLKmhGWypOhw2hIE44AR8ZBBVoj_7HHEIB-UB8ItM59bMTnNx_yHXlBdLBmmVAXJJZ4Pqm8THUaoMjE-dNzfnOKCNJfWjqcxD2c3YzRVzOZPG4Esz0141MO5UoXhYIiaN1kHk5_fvZdmSywgZXolyd0KiaOgSOF_9/s1280/Arrangeme.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="normal distribution, normal curve, discrete random variables, probability, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics, standard normal distribution, normal distribution table" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgbSktKmnrtbxh7E1dg3sY4rioatituLKmhGWypOhw2hIE44AR8ZBBVoj_7HHEIB-UB8ItM59bMTnNx_yHXlBdLBmmVAXJJZ4Pqm8THUaoMjE-dNzfnOKCNJfWjqcxD2c3YzRVzOZPG4Esz0141MO5UoXhYIiaN1kHk5_fvZdmSywgZXolyd0KiaOgSOF_9/w320-h180/Arrangeme.PNG" title="past paper items on permutations and combinations" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEfPeIMmwYozWMo9HJJcxFfX-bZijbFFpHzV77vqjbWYKEmnUrTOkCdy6REyH390c-3hGcARjlgsQYFsw7ky722r3x9UI3-_iFfYRplOlOCq3_7kk2VfcZnXCjKLQk7lK7FW8r-97FvPw-twkhJIiGcuAzYs7WcPH8Pgfzd3USaTevDMXK2-SgfodwDQnF/s1280/Discrete.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="normal distribution, normal curve, discrete random variables, probability, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics, standard normal distribution, normal distribution table" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhEfPeIMmwYozWMo9HJJcxFfX-bZijbFFpHzV77vqjbWYKEmnUrTOkCdy6REyH390c-3hGcARjlgsQYFsw7ky722r3x9UI3-_iFfYRplOlOCq3_7kk2VfcZnXCjKLQk7lK7FW8r-97FvPw-twkhJIiGcuAzYs7WcPH8Pgfzd3USaTevDMXK2-SgfodwDQnF/w320-h180/Discrete.PNG" title="past paper items on discrete random variables" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjc4erCgd2u5E7glxhcaTzcKiDzT3Z1HbPFFQ7C168MZ7fLQR2IrNJlyiDIqmhdp5f2BGUW54NcnPJRVP-OLrzNPEBsZaWomfNsMhAFIKtJCJb9bN2jHc74GpUV6fk3RSvl1t0agazxWHhskb-2Fb-KBXkZjywKv9rgTD3-M0DXADu_j0oh6EnexpOeUJDT/s1280/Normal.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="normal distribution, normal curve, discrete random variables, probability, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics, standard normal distribution, normal distribution table" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjc4erCgd2u5E7glxhcaTzcKiDzT3Z1HbPFFQ7C168MZ7fLQR2IrNJlyiDIqmhdp5f2BGUW54NcnPJRVP-OLrzNPEBsZaWomfNsMhAFIKtJCJb9bN2jHc74GpUV6fk3RSvl1t0agazxWHhskb-2Fb-KBXkZjywKv9rgTD3-M0DXADu_j0oh6EnexpOeUJDT/w320-h180/Normal.PNG" title="past paper items on normal distributions" width="320" /></a></div></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1ipZKVmqEmY1escb1_no3h6174uZLBfpa/view?usp=sharing" imageanchor="1" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="normal distribution, normal curve, discrete random variables, probability, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics, standard normal distribution, normal distribution table" border="0" data-original-height="1800" data-original-width="3200" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiu_E4iSCcwmMTup7exIbQr31gP1CmJIzLxlUdzZjNn-4H6rH5G9lxh2eQ0FK0qjPCgd0PS8HonUmGrV9SL6M7Nh9mDZY3T2yZ3uY6vufHJKs3K0j4_WyyLXaGHZefQmoa-aWSFcdyJjxaUVgD4FAESYBgnldRNsXD8kSi_hn9KDKs88T9V8NSGa0H_ss6u/w320-h180/Past%20Paper%20Items%20on%20Normal%20Distribution%20%5BPart%202%5D%20thumbnail%20FINAL.png" title="past paper items on discrete random variables and continuous random variables" width="320" /></a></div></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;">YOUTUBE link: <a href="https://www.youtube.com/watch?v=CqqBo5JOGdo">https://www.youtube.com/watch?v=CqqBo5JOGdo</a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div></span></span></span></span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may be interested on other math videos that CIE Math Solutions have:</span></span></span></div><div style="background: transparent; 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border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgeUVriEPauJnYvJuDvw-_oPymxTiXFmqYbJkF6b7gO6g7l2JUsyJ7udShxSbyEfmYXRbOVQBuNJ-qOP7X7Sy5TXOnOgKmefSrINwoOG6WPtuANM2F8mWQtxatpAg5q2e4vWTm40db3xFWREa871Et5JLnANqsXyrHt2RBpl0a3-5g5SaiA3Fpj7FXPPYbc/s1280/Past%20paper%20items%20on%20normal%20distribution.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="normal distribution, normal curve, discrete random variables, probability, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics, standard normal distribution, normal distribution table" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgeUVriEPauJnYvJuDvw-_oPymxTiXFmqYbJkF6b7gO6g7l2JUsyJ7udShxSbyEfmYXRbOVQBuNJ-qOP7X7Sy5TXOnOgKmefSrINwoOG6WPtuANM2F8mWQtxatpAg5q2e4vWTm40db3xFWREa871Et5JLnANqsXyrHt2RBpl0a3-5g5SaiA3Fpj7FXPPYbc/w640-h360/Past%20paper%20items%20on%20normal%20distribution.PNG" title="AS Level past paper items on normal distributions" width="640" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability & Statistics 1 / The Normal Distribution</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Probability Concepts</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Permutations and Combinations</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Discrete Random Variables</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span><span style="background-color: transparent; font-family: arial; font-size: medium;"> > Binomial Distribution</span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span><span style="background-color: transparent; font-family: arial; font-size: medium;"> > The Normal Curve</span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-color: transparent; font-family: arial; font-size: medium;"> > Normal Distribution</span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-color: transparent; font-family: arial; font-size: medium;"> > Normal Approximations</span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Normal Distribution</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrfSrRvRiFh4oNC1yuzPD7glQ-A926SH9GCQ1JeyOnAFS5GVqF8oMz9ZVbkPXC-IJ-aZVWzeaZQ9rwYlkeiG3H-hKbI0GFXdK3QiQw9XNHlvp3YP07f58CvAXVtFRA5RkamIef9OBzPQPg7V2MzmsK5nDgQwPxz9EKFVgKSDvmFc5OeXauSjYYvpaHy_t8/s1280/length%20of%20fish%20follows%20normal%20distribution.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="normal distribution, normal curve, discrete random variables, probability, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics, standard normal distribution, normal distribution table" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrfSrRvRiFh4oNC1yuzPD7glQ-A926SH9GCQ1JeyOnAFS5GVqF8oMz9ZVbkPXC-IJ-aZVWzeaZQ9rwYlkeiG3H-hKbI0GFXdK3QiQw9XNHlvp3YP07f58CvAXVtFRA5RkamIef9OBzPQPg7V2MzmsK5nDgQwPxz9EKFVgKSDvmFc5OeXauSjYYvpaHy_t8/w320-h180/length%20of%20fish%20follows%20normal%20distribution.PNG" title="problems involving normal distributions" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3mYKHoFgVDxA-Ut8lfMjMc9ptmJHri0kKPxZYAbyWU1B8-waO1auqGpvnUll7DFYoIP_YCnwU-k43t0PWb0RakoGG_Vi-P1dpZ11vrOQl9aXm9PDvMx0Gvg92W3i4nMbUYA5HX_6qNl9o6G4Q1x5F2BoIdzbcekqkAO-kjaeDTUN6d4F2ZmAERw2_VKfd/s1280/length%20of%20lunch%20break;%20find%20mean%20value;%20normal%20distri.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="normal distribution, normal curve, discrete random variables, probability, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics, standard normal distribution, normal distribution table" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj3mYKHoFgVDxA-Ut8lfMjMc9ptmJHri0kKPxZYAbyWU1B8-waO1auqGpvnUll7DFYoIP_YCnwU-k43t0PWb0RakoGG_Vi-P1dpZ11vrOQl9aXm9PDvMx0Gvg92W3i4nMbUYA5HX_6qNl9o6G4Q1x5F2BoIdzbcekqkAO-kjaeDTUN6d4F2ZmAERw2_VKfd/w320-h180/length%20of%20lunch%20break;%20find%20mean%20value;%20normal%20distri.PNG" title="normal distribution AS level exam paper" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGrXKunVDGLcAnRRx-DjViT7GmE2xVoEeMEGDj2o_uJsp25UNNiaBe1E_JQZm5wUHTDPXQfntEBSrvXtn76lxt0Y0C00U8l883i9Jg7TMpso2kwfcJiL6cGtptU2IkecBUdPAWuAs9UOAUFkqbaSLtWDirdF_edaXzKgnlLvzt_6Evd_5RB6q6sivPqhFh/s1280/random%20variable%20X;%205%20times%20the%20standard%20deviation.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="normal distribution, normal curve, discrete random variables, probability, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics, standard normal distribution, normal distribution table" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGrXKunVDGLcAnRRx-DjViT7GmE2xVoEeMEGDj2o_uJsp25UNNiaBe1E_JQZm5wUHTDPXQfntEBSrvXtn76lxt0Y0C00U8l883i9Jg7TMpso2kwfcJiL6cGtptU2IkecBUdPAWuAs9UOAUFkqbaSLtWDirdF_edaXzKgnlLvzt_6Evd_5RB6q6sivPqhFh/w320-h180/random%20variable%20X;%205%20times%20the%20standard%20deviation.PNG" title="AS exam items on normal distribution" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1Kxbv8nLICxvl7Ci2n7SMOGqE8PML2mIq/view?usp=sharing" imageanchor="1" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="normal distribution, normal curve, discrete random variables, probability, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics, standard normal distribution, normal distribution table" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUq9wh7OVFydUNMYcB-8_8Gfydbcl0kV6geUBifzkqKAbqufg6Lt02DQlnLSKnxXT8y7cq-uR069KnvfkRbBg9QCMdceW1q8DomYD79_sTNAKvUPquUzZOuVqFmROqM9HFagbsFL18QrVCOi3ecLMZC2v7PBodja2sJd8kSTXiY0gp6vBT7rZ7W_RHrT53/w320-h180/Past%20paper%20items%20on%20normal%20distribution.PNG" title="Normal distribution past paper items" width="320" /></a></div><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;">YOUTUBE link: <a href="https://www.youtube.com/watch?v=4l7cMUWR-Do">https://www.youtube.com/watch?v=4l7cMUWR-Do</a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></div></span></span></span></span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may be interested on other math videos that CIE Math Solutions have:</span></span></span></div><div style="background: transparent; 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border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiudEEJYuYVip3jWG30xcpMU9HAZWsvQqJbRN-LEnSsy1O6i89cnW0kTqI2-TCS77WtfQ6-qX4ozs03sPmaKjZkfrveD2Vo8kRNUC8oNtxhJEbkbzSxiLPFtD9MOMcFO75RuiY-rFckAvNSzKme8TfpRUJfADQw_nPHSxp62RmjCs30GJTkWz2SJWKMrEao/s1280/Binomial%20Geometric%20Distributio.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="binomial distribution, geometric distribution, discrete random variables, probability, expectation, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiudEEJYuYVip3jWG30xcpMU9HAZWsvQqJbRN-LEnSsy1O6i89cnW0kTqI2-TCS77WtfQ6-qX4ozs03sPmaKjZkfrveD2Vo8kRNUC8oNtxhJEbkbzSxiLPFtD9MOMcFO75RuiY-rFckAvNSzKme8TfpRUJfADQw_nPHSxp62RmjCs30GJTkWz2SJWKMrEao/w640-h360/Binomial%20Geometric%20Distributio.PNG" title="AS level past paper items on binomial and geometric distribution" width="640" /></a></div></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></span></div>Syllabus Area</b>: Probability & Statistics 1 / Binomial & Geometric Distribution</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Probability Concepts</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Permutations and Combinations</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Discrete Random Variables</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Expectation and Variance of Discrete Random Variables</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Binomial Distribution</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Mean and Variance of Binomial Distribution</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Geometric Distribution</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Mean and Variance of Geometric Distribution</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Binomial and Geometric Distribution</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLIZkY-Sko3uKPTacUONuUS21MeXpm7WgE7A5HhPBsseiR7vHntBC5p1xEv7-IkkTCwKoF02R4Upcu673XeWb53aM8f8rJM9ox7IiB1hzeBDrAWERMthIoBiYkJcqjOhOO7jx-lLgm9MK2DKhCl0AbfawykITlyHDnu7SdwGqvXv1j74NSl3M5V49XTCZI/s1280/Fair%20die%20probability.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="binomial distribution, geometric distribution, discrete random variables, probability, expectation, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLIZkY-Sko3uKPTacUONuUS21MeXpm7WgE7A5HhPBsseiR7vHntBC5p1xEv7-IkkTCwKoF02R4Upcu673XeWb53aM8f8rJM9ox7IiB1hzeBDrAWERMthIoBiYkJcqjOhOO7jx-lLgm9MK2DKhCl0AbfawykITlyHDnu7SdwGqvXv1j74NSl3M5V49XTCZI/w320-h180/Fair%20die%20probability.PNG" title="ordinary die probability and binomial geometric distribution" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtSG9kLqRhBlax9CrTlRvggK6zXJl6irLTZ025S4CC9hObTCgdvrIdBlGbLp1VKRUB5fHfroI6nAd2rzuC384LX_18mrBzkGFDcrkf_j4So8ZWzl4rLd3rB5Hd7iUxQlwrRTnLLyqiTTz2A3v9Jx8A2OHXpWjagNRj0wX9h0GVkO_6iIB0CmDkp7rokJ8J/s1280/Random%20person%20probability.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="binomial distribution, geometric distribution, discrete random variables, probability, expectation, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgtSG9kLqRhBlax9CrTlRvggK6zXJl6irLTZ025S4CC9hObTCgdvrIdBlGbLp1VKRUB5fHfroI6nAd2rzuC384LX_18mrBzkGFDcrkf_j4So8ZWzl4rLd3rB5Hd7iUxQlwrRTnLLyqiTTz2A3v9Jx8A2OHXpWjagNRj0wX9h0GVkO_6iIB0CmDkp7rokJ8J/w320-h180/Random%20person%20probability.PNG" title="survey probability and geometric distribution binomial distribution" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_C58XNFAbJT80a4GPDV1ltBzXY0fglyTXEt9cQkizBFsc6z4roNA9sHmRVv5WzXlg_hHJqvt7_TcoTY9W1EtPH3ISMQ7qhDvuy_eiSu6yLsh0aP0rfm07se-u3kMOmcmQeBtYFd-pxU3251IwzXxOC8VCWEIHJt-GvM4W0zbFedlJUTLSCp5YVVTeXplr/s1280/spinner%20geometric%20distribution.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="binomial distribution, geometric distribution, discrete random variables, probability, expectation, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_C58XNFAbJT80a4GPDV1ltBzXY0fglyTXEt9cQkizBFsc6z4roNA9sHmRVv5WzXlg_hHJqvt7_TcoTY9W1EtPH3ISMQ7qhDvuy_eiSu6yLsh0aP0rfm07se-u3kMOmcmQeBtYFd-pxU3251IwzXxOC8VCWEIHJt-GvM4W0zbFedlJUTLSCp5YVVTeXplr/w320-h180/spinner%20geometric%20distribution.PNG" title="spinner probability binomial distribution and geometri distribution" width="320" /></a></div><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1nqZBZnR-Yo5fgoLj9Ph6rBKy5-DKYUDd/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="binomial distribution, geometric distribution, discrete random variables, probability, expectation, mean, variance, standard deviation, random variables, Cambridge AS Level exam, exam preparations, past paper items, AS level Probability and Statistics" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCsr7AN8VbTN1Jt1TrI3DNI9aVKEWDLt2RPwVyuQLxWg1HgT2g-peVD1Wa0c9NRRxPFHC394mgKu8HNRUb5jtCYesOdLeCzenBx618KggZit4KuBLgiItoe04DJPU5quj4rLfy8NK_NmRID_904JnkDHshrVc8FG6XyWNQbvArn9hQtNjz8KrDpa6zTEmK/w320-h180/Binomial%20Geometric%20Distributio.PNG" title="Past paper items on binomial and geometric distribution" width="320" /></a></div><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;">YOUTUBE link: <a href="https://www.youtube.com/watch?v=9ClvXjCBDs8">https://www.youtube.com/watch?v=9ClvXjCBDs8</a></div></span></span></span></span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may be interested on other math videos that CIE Math Solutions have:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXQ_-mceKFczU1E9epxTQAxpBYFqpeamvDmypKY-z90l_ZK0W4zdI75DmqMF_YwC5ViSo1joav4r1woYDa8IDW9qQXg0PSjmRA_96u6sjQy8WouNtNXJweHWdLh6ipZWpUaVklnfITvavF77GHUTqYWJb_p-xYCcATT4WoZj_gtpmonqjnT2SkMl9K_2mW/s1280/CIE%20Math%20tutorial%20videos.PNG" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; 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border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEix0p3X5zWHA9F935gcKoilUocSTkprJrx26TiS01fUqGX0gwwRQ7K02LiXdTPRuxJrgbtZhej9zQeElMFhqT7LeUfwH2fYSk81pGg5e174VSqLHvrPbnbwqETKemRb0IoGiF0m0jI8pDQNdMHr1f_i7ObOXUMUl-6yTFGbWPGMF6-9C69zyKLZR_kKBy3z/s1280/binomial%20distribution%20items.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS level math, 9709, probability and statistics, binomial distribution, past paper items, cie math solutions, probability, discrete random variables, probability distribution, discrete binomial distribution, success and failure, expectation, variance" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEix0p3X5zWHA9F935gcKoilUocSTkprJrx26TiS01fUqGX0gwwRQ7K02LiXdTPRuxJrgbtZhej9zQeElMFhqT7LeUfwH2fYSk81pGg5e174VSqLHvrPbnbwqETKemRb0IoGiF0m0jI8pDQNdMHr1f_i7ObOXUMUl-6yTFGbWPGMF6-9C69zyKLZR_kKBy3z/w640-h360/binomial%20distribution%20items.PNG" title="past paper items on binomial distribution" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability & Statistics 1 / Binomial Distribution</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Probability Concepts</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Permutations and Combinations</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Discrete Random Variables</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Expectation and Variance</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Binomial Distribution</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyhanLejnhnACMmOXuq2qwnry2P1VnhxPelsTu6zNTaIPOkE-KL3HddkmbsuMh5BTUGA9TbmWsLxyOTIAmaVJZIjfYbMt0bUEfWLqYs08p0A2xq-BxbTb2taMHuvtqlpNdVGYthsqzZOc58Eu-yOSdSXEfRbbtsvO9uOh65b8reu8Rf3vbnKQpwogVCKOS/s1280/probability%20and%20binomial%20dist.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS level math, 9709, probability and statistics, binomial distribution, past paper items, cie math solutions, probability, discrete random variables, probability distribution, discrete binomial distribution, success and failure, expectation, variance" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjyhanLejnhnACMmOXuq2qwnry2P1VnhxPelsTu6zNTaIPOkE-KL3HddkmbsuMh5BTUGA9TbmWsLxyOTIAmaVJZIjfYbMt0bUEfWLqYs08p0A2xq-BxbTb2taMHuvtqlpNdVGYthsqzZOc58Eu-yOSdSXEfRbbtsvO9uOh65b8reu8Rf3vbnKQpwogVCKOS/w320-h180/probability%20and%20binomial%20dist.PNG" title="binomial distributions and probability" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYPAy5MTIpKT5-yxk9GgWQc_1lKnpVZkn2S523M1ujlNZISJMU1DrO9e7Ydw787YJlGVMhf4VtfPiom_sIRK3aptdtolz5NE7HFq8GuHgY7PZbPgN6gd13CflTDS9LMz8d7Zk33gSZYaojDGFsecb_2w0AZM80boPMePXs14jvSY_Jig5fKKGqvmnbZgGI/s1280/dice%20and%20binomial%20distribution.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS level math, 9709, probability and statistics, binomial distribution, past paper items, cie math solutions, probability, discrete random variables, probability distribution, discrete binomial distribution, success and failure, expectation, variance" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYPAy5MTIpKT5-yxk9GgWQc_1lKnpVZkn2S523M1ujlNZISJMU1DrO9e7Ydw787YJlGVMhf4VtfPiom_sIRK3aptdtolz5NE7HFq8GuHgY7PZbPgN6gd13CflTDS9LMz8d7Zk33gSZYaojDGFsecb_2w0AZM80boPMePXs14jvSY_Jig5fKKGqvmnbZgGI/w320-h180/dice%20and%20binomial%20distribution.PNG" title="dice binomial distribution and probability" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5hRHT3HNGJT8QZK7ME0gwpKVynVaCz4e6oBGAvGXafAijnifJHsNKYerdn7DwOHaPQp6xMSYaBVWENrT01wP_SgMO9WGsGUOl9xybYlikTT5g9UEvQLi7nliKNml4qYGKrrm3Dk3xuLwgHd9JgVt-R7GO0CtkI4Gq44PXnwVtMyRrI-SbvQHT0tXSdGW0/s1280/binomial%20distribution%20probabili.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS level math, 9709, probability and statistics, binomial distribution, past paper items, cie math solutions, probability, discrete random variables, probability distribution, discrete binomial distribution, success and failure, expectation, variance" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5hRHT3HNGJT8QZK7ME0gwpKVynVaCz4e6oBGAvGXafAijnifJHsNKYerdn7DwOHaPQp6xMSYaBVWENrT01wP_SgMO9WGsGUOl9xybYlikTT5g9UEvQLi7nliKNml4qYGKrrm3Dk3xuLwgHd9JgVt-R7GO0CtkI4Gq44PXnwVtMyRrI-SbvQHT0tXSdGW0/w320-h180/binomial%20distribution%20probabili.PNG" title="shopping and binomial distribution" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1sIX6NZ4EX0Oru0dF6HJnPodskMMWdqan/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Cambridge AS level math, 9709, probability and statistics, binomial distribution, past paper items, cie math solutions, probability, discrete random variables, probability distribution, discrete binomial distribution, success and failure, expectation, variance" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjOBxHmFxKlkt5ytkJcfeJubgQXjzQmE1HL7bk4hnEZ6RulDYckncrHSh4ZmAiDvtl_GjWJIWkzZGBml636Tu0rRkCUeEUVlkG3Tf2BmuyrYU7Yn-XiSIDaUgS_Y4ALci46i8nb1dVbsrmOvhSfFHby7hJr2IvERYFBdKL_bx0I1cBxBjlZeOQCJVB8m9ut/w320-h180/binomial%20distribution%20items.PNG" title="AS level math past paper items on binomial distribution" width="320" /></a></div><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></span></div><div><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;">YOUTUBE link: <a href="https://www.youtube.com/watch?v=x1fdTbzfLu8">https://www.youtube.com/watch?v=x1fdTbzfLu8</a></div></span></span></span></span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may be interested on other math videos that CIE Math Solutions have:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXQ_-mceKFczU1E9epxTQAxpBYFqpeamvDmypKY-z90l_ZK0W4zdI75DmqMF_YwC5ViSo1joav4r1woYDa8IDW9qQXg0PSjmRA_96u6sjQy8WouNtNXJweHWdLh6ipZWpUaVklnfITvavF77GHUTqYWJb_p-xYCcATT4WoZj_gtpmonqjnT2SkMl9K_2mW/s1280/CIE%20Math%20tutorial%20videos.PNG" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; 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vertical-align: baseline;"></span></span></span></span></span></div></span></span></span></span></span></div></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com0tag:blogger.com,1999:blog-7452953280337461186.post-59659142442610170612024-02-08T22:05:00.001+07:002024-02-16T22:23:54.985+07:00Cambridge AS Level Mathematics 9709 (Probability & Statistics 1) Past Paper Items on Permutations and Combinations [Part 3]<div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIjIaUBTm7-91OkKh_0MDb1_C4qOV2RE-C2_dzaGimwIFLNX_nD8eqeloBCM5SEZlFv7QGWgKkYlXfvb5dkl0V59fmfA1UduqNoam3Ihzs4izucPic4qjxRPCk1Vq06hF6R-oUimCZUAS-iUbohaewW__Hz39rVDyQpVBD8kMjqUIrJstnboowtOvk_qf2/s1280/Permutations%20Combin.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE past paper items, permutations, combinations, arrangements, selection of objects, digits, letter arrangements, team selections, passcode formation, identical objects, arrangement with conditions, ciemathsolutions, AS level maths, 9709, Probability and Statistics, past papers, paper 5, paper 6" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgIjIaUBTm7-91OkKh_0MDb1_C4qOV2RE-C2_dzaGimwIFLNX_nD8eqeloBCM5SEZlFv7QGWgKkYlXfvb5dkl0V59fmfA1UduqNoam3Ihzs4izucPic4qjxRPCk1Vq06hF6R-oUimCZUAS-iUbohaewW__Hz39rVDyQpVBD8kMjqUIrJstnboowtOvk_qf2/w640-h360/Permutations%20Combin.PNG" title="Cambridge AS level maths past paper items on permutations and combinations" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability & Statistics 1 / Permutations and Combinations</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Factorials</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Fundamental Principle of Counting</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Arrangement of Non-distinguishable Objects</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Permutations</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Combinations</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">> Probability Concepts</span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Permutations and Combinations</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizPjOhDFJ-kx7Ssw7V9Aw-vcjrWK_QdvN1ELNtmd4XBQRLSYwrHuDcC_9ZXqZ22rCK4-yhLIhMIGwOjh6b2qh7A3v7eUyhnOIkpU2nFIp6Fq6Fg-uH40TrD6fwC0m00n-RbkTZylTtnCVKCtj7H2NITFWw_iJTnUTQrQBVGqq983DNq3DErdjkwSdvYA2o/s1280/arrangement%20letters.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE past paper items, permutations, combinations, arrangements, selection of objects, digits, letter arrangements, team selections, passcode formation, identical objects, arrangement with conditions, ciemathsolutions, AS level maths, 9709, Probability and Statistics, past papers, paper 5, paper 6" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEizPjOhDFJ-kx7Ssw7V9Aw-vcjrWK_QdvN1ELNtmd4XBQRLSYwrHuDcC_9ZXqZ22rCK4-yhLIhMIGwOjh6b2qh7A3v7eUyhnOIkpU2nFIp6Fq6Fg-uH40TrD6fwC0m00n-RbkTZylTtnCVKCtj7H2NITFWw_iJTnUTQrQBVGqq983DNq3DErdjkwSdvYA2o/w320-h180/arrangement%20letters.PNG" title="Past paper items on permutations and combinations arrangement of letters" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDloo7wU6tg7mo_K9zedH8ghrHsd06XuFPpVbZhfOVpCVrVmWiQpaBXn2EZD42qM0Rrt6iQvcwTaki0uo32Ub_h1c29NdEi3_jE_19c4bgffk_toNMU-JTJNHiNBc91YffJJIRU9HkO_XDpiLCQswVXypHYYmudA6NqDMi0HUPd6R_IwyVksxPKJrj6Uw1/s1280/digit%20arrangements.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE past paper items, permutations, combinations, arrangements, selection of objects, digits, letter arrangements, team selections, passcode formation, identical objects, arrangement with conditions, ciemathsolutions, AS level maths, 9709, Probability and Statistics, past papers, paper 5, paper 6" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDloo7wU6tg7mo_K9zedH8ghrHsd06XuFPpVbZhfOVpCVrVmWiQpaBXn2EZD42qM0Rrt6iQvcwTaki0uo32Ub_h1c29NdEi3_jE_19c4bgffk_toNMU-JTJNHiNBc91YffJJIRU9HkO_XDpiLCQswVXypHYYmudA6NqDMi0HUPd6R_IwyVksxPKJrj6Uw1/w320-h180/digit%20arrangements.PNG" title="digit arrangement past paper items on permutations and combinations" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2kIrYCMaFo4LXadPRcbxsmfUVoeLwAFcVBqf17nPNReCqsOJwYtBLDlum5KGymyrkPVYJzHnAmlAZBqKgz2PnBYoIOg8UBIQvPf5KTdOL3egMhyrj2O-ye7RvKGVyNyDIGP9sql2Xl9W2DJ_SCZZtbD7PZMSX9peishYaLsZjkHlkl-4hnQoyqEyBj82u/s1280/team%20selections.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE past paper items, permutations, combinations, arrangements, selection of objects, digits, letter arrangements, team selections, passcode formation, identical objects, arrangement with conditions, ciemathsolutions, AS level maths, 9709, Probability and Statistics, past papers, paper 5, paper 6" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg2kIrYCMaFo4LXadPRcbxsmfUVoeLwAFcVBqf17nPNReCqsOJwYtBLDlum5KGymyrkPVYJzHnAmlAZBqKgz2PnBYoIOg8UBIQvPf5KTdOL3egMhyrj2O-ye7RvKGVyNyDIGP9sql2Xl9W2DJ_SCZZtbD7PZMSX9peishYaLsZjkHlkl-4hnQoyqEyBj82u/w320-h180/team%20selections.PNG" title="team selections past paper items on permutations and combinations" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1aZAcuw7P9ZIzdicLznUl-ips6H8YutDx/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="CIE past paper items, permutations, combinations, arrangements, selection of objects, digits, letter arrangements, team selections, passcode formation, identical objects, arrangement with conditions, ciemathsolutions, AS level maths, 9709, Probability and Statistics, past papers, paper 5, paper 6" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh98Unt7oVEHB0jBI8CcGJ7P6f-XX2B6mTuu0nakVwkkRnVrQyOOlOXppgScnPmpso1-egZr0KMjONjP7sCYLnNcvSSrR_CeioPicRgzz-oFPQLZvBeKZS9pCt47x8OS75t43FmYnrB74zDG_K1ivRJ2K8brzxVXU7KY_haMszKRZIwYMklqQu4pBfK7sDA/w320-h180/Permutations%20Combin.PNG" title="AS level Maths 9709 past paper items on permutations and combinations" width="320" /></a></div><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;">YOUTUBE link: <a href="https://www.youtube.com/watch?v=IhuRpOkvYxY">https://www.youtube.com/watch?v=IhuRpOkvYxY</a></div></span></span></span></span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may be interested on other math videos that CIE Math Solutions have:</span></span></span></div><div style="background: transparent; 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border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBzQ5dQCelU4kt9qQbmwzF4ji27BXEoLatPtmv2ruwQ4iXLifkkwV7e2y1d3xSYTDeyDWeGYEzusxE5t4BA9HgIFrR1u-UUC-ntCy2cexL8H4O-ltva8gdNqqk4z8Mz_N_64xs5KrsA84IKcyDe8IHO-vPbsYCLdDxFdNww3L4Jk-iBlnfsMf3-A0T0uZB/s3200/Past%20Paper%20Items%20on%20Permutations%20and%20Combinations%20%5BPart%202%5D%20thumbnail.png" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE past paper items, permutations, combinations, arrangements, selection of objects, digits, letter arrangements, team selections, passcode formation, identical objects, arrangement with conditions, ciemathsolutions, AS level maths, 9709, Probability and Statistics, past papers, paper 5, paper 6" border="0" data-original-height="1800" data-original-width="3200" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjBzQ5dQCelU4kt9qQbmwzF4ji27BXEoLatPtmv2ruwQ4iXLifkkwV7e2y1d3xSYTDeyDWeGYEzusxE5t4BA9HgIFrR1u-UUC-ntCy2cexL8H4O-ltva8gdNqqk4z8Mz_N_64xs5KrsA84IKcyDe8IHO-vPbsYCLdDxFdNww3L4Jk-iBlnfsMf3-A0T0uZB/w640-h360/Past%20Paper%20Items%20on%20Permutations%20and%20Combinations%20%5BPart%202%5D%20thumbnail.png" title="CIE past paper items on permutations and combinations" width="640" /></a></div><br /></div></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability & Statistics 1 / Permutations and Combinations</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Factorials</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Fundamental Principle of Counting</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Arrangement of Non-distinguishable Objects</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Permutations</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Combinations</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">> Probability Concepts</span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Permutations and Combinations</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJmGJkv_EOqwuZ3S4L34U8oile9REaOqvPEiCx6TggOKJixrhs6xTADUpLOc4nolrJgbLzD8oXlct9TofnQCbsSiVhXRtYpylWekJK4drgclPL6z4RKTRomFe3VMNXgRIxkh1We_crOO4m9MZ2hfEJahAqrqLmmA5f-vpOS5-T7zFQawAcQIUhRN7c4JH9/s1280/arrangement%20letters.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE past paper items, permutations, combinations, arrangements, selection of objects, digits, letter arrangements, team selections, passcode formation, identical objects, arrangement with conditions, ciemathsolutions, AS level maths, 9709, Probability and Statistics, past papers, paper 5, paper 6" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhJmGJkv_EOqwuZ3S4L34U8oile9REaOqvPEiCx6TggOKJixrhs6xTADUpLOc4nolrJgbLzD8oXlct9TofnQCbsSiVhXRtYpylWekJK4drgclPL6z4RKTRomFe3VMNXgRIxkh1We_crOO4m9MZ2hfEJahAqrqLmmA5f-vpOS5-T7zFQawAcQIUhRN7c4JH9/w320-h180/arrangement%20letters.PNG" title="arrangement of letters non-distinguishable" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhs0TcTrTWEB4Njq_7yZKP8r8Z4NtWUYqYEz-M8o3a7LtdlTMNK24QXOZsXWaUFwUl1KUBSSwzdzoMk6dVTMu25BaV08O4ClgU4xkQNal88m7yBIhyphenhyphen1XsuLPnUZUGql8oTZSPDIY4ejPJoxX_GF2E5v0X1y0rS2fyW4aTnAJNXekvazW6R7us4yPkxh2rAF/s1280/Passcode%20arrangemen.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE past paper items, permutations, combinations, arrangements, selection of objects, digits, letter arrangements, team selections, passcode formation, identical objects, arrangement with conditions, ciemathsolutions, AS level maths, 9709, Probability and Statistics, past papers, paper 5, paper 6" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhs0TcTrTWEB4Njq_7yZKP8r8Z4NtWUYqYEz-M8o3a7LtdlTMNK24QXOZsXWaUFwUl1KUBSSwzdzoMk6dVTMu25BaV08O4ClgU4xkQNal88m7yBIhyphenhyphen1XsuLPnUZUGql8oTZSPDIY4ejPJoxX_GF2E5v0X1y0rS2fyW4aTnAJNXekvazW6R7us4yPkxh2rAF/w320-h180/Passcode%20arrangemen.PNG" title="passcode arrangement permutation" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYcDHR0spseielkrlP37OX95MWkmy0CbYrp8TankXVbDndewF43iILG75H9ogHVxbENmLbX6YYxKISnbISszM5to7WgeuoPHZT2FPXJjmaKC6fmKjaJWWGKaRE5WTrzzve4t2y5Ta8eyvOEEY4j52cPsF1ay0fuHlxDAi4J44j7Ifw8k9mCCg2lLmjXDCR/s1280/Team%20selections.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE past paper items, permutations, combinations, arrangements, selection of objects, digits, letter arrangements, team selections, passcode formation, identical objects, arrangement with conditions, ciemathsolutions, AS level maths, 9709, Probability and Statistics, past papers, paper 5, paper 6" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiYcDHR0spseielkrlP37OX95MWkmy0CbYrp8TankXVbDndewF43iILG75H9ogHVxbENmLbX6YYxKISnbISszM5to7WgeuoPHZT2FPXJjmaKC6fmKjaJWWGKaRE5WTrzzve4t2y5Ta8eyvOEEY4j52cPsF1ay0fuHlxDAi4J44j7Ifw8k9mCCg2lLmjXDCR/w320-h180/Team%20selections.PNG" title="team selection combinations" width="320" /></a></div><br /></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/12mvUaPhcyXjd1cKVOg7FMvmhOnASZGWc/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="CIE past paper items, permutations, combinations, arrangements, selection of objects, digits, letter arrangements, team selections, passcode formation, identical objects, arrangement with conditions, ciemathsolutions, AS level maths, 9709, Probability and Statistics, past papers, paper 5, paper 6" border="0" data-original-height="1800" data-original-width="3200" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4p0K12BJUg-yCSdFoKlL00CFjtTrv1T8NSGCeH2DfnlM_5T2thJr4aAIRgfw0n4usPpqId_Cy3vsJABQvllSNAZridGuIt4sNf375HjWXk9Alf2f2B0Wy-ThIfgnMlNI6e3qoi_G435tEodmRtOvLwpSVuDrkCAHWc0WcrZ5hCSS-6s8IBjIW6mlXfiKS/w320-h180/Past%20Paper%20Items%20on%20Permutations%20and%20Combinations%20%5BPart%202%5D%20thumbnail.png" title="past paper items on permutations and combinations" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">YOUTUBE link: <a href="https://www.youtube.com/watch?v=cWm5bqqymDA&t=29s">https://www.youtube.com/watch?v=cWm5bqqymDA&t=29s</a> </div><div class="separator" style="clear: both; text-align: left;"><br /></div></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may be interested on other math videos that CIE Math Solutions have:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXQ_-mceKFczU1E9epxTQAxpBYFqpeamvDmypKY-z90l_ZK0W4zdI75DmqMF_YwC5ViSo1joav4r1woYDa8IDW9qQXg0PSjmRA_96u6sjQy8WouNtNXJweHWdLh6ipZWpUaVklnfITvavF77GHUTqYWJb_p-xYCcATT4WoZj_gtpmonqjnT2SkMl9K_2mW/s1280/CIE%20Math%20tutorial%20videos.PNG" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;"><img alt="CIE Math Solutions, ciemathsolutions, math, math tutorial videos, math videos, pure mathematics, probability and statistics, Cambridge AS and A level maths, IGCSE mathematics, 9709, probability, sequences and series, online math videos" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXQ_-mceKFczU1E9epxTQAxpBYFqpeamvDmypKY-z90l_ZK0W4zdI75DmqMF_YwC5ViSo1joav4r1woYDa8IDW9qQXg0PSjmRA_96u6sjQy8WouNtNXJweHWdLh6ipZWpUaVklnfITvavF77GHUTqYWJb_p-xYCcATT4WoZj_gtpmonqjnT2SkMl9K_2mW/w320-h180/CIE%20Math%20tutorial%20videos.PNG" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE Math Solutions math tutorial videos" width="320" /></a></div><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjV1BXXGETCDQ67jPA12VASw3pp-meyni-6Z8EHRTEMoQot87jg6HVvddczC-PVhbcixWmO1eEGvsDAlz9hCP8gEGLRBVajKQT3ovKnug8IUV5-OBS7Ez2jzH_AWlhYrWzpaYhqmi8YBl5uZwTiPIczTr3TE8nK5RAdU-XGSE48e8TmDeETnMT2XJW5WPfK/s1280/CIE%20Maths%20short%20videos.PNG" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;"><img alt="CIE Math Solutions, ciemathsolutions, math, math tutorial videos, math videos, pure mathematics, probability and statistics, Cambridge AS and A level maths, IGCSE mathematics, 9709, probability, sequences and series, online math videos, puzzles, math tricks, math shortcuts" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjV1BXXGETCDQ67jPA12VASw3pp-meyni-6Z8EHRTEMoQot87jg6HVvddczC-PVhbcixWmO1eEGvsDAlz9hCP8gEGLRBVajKQT3ovKnug8IUV5-OBS7Ez2jzH_AWlhYrWzpaYhqmi8YBl5uZwTiPIczTr3TE8nK5RAdU-XGSE48e8TmDeETnMT2XJW5WPfK/w320-h180/CIE%20Maths%20short%20videos.PNG" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE Math solutions shorts videos" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; 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border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIYHjLFP4GlhIiO7jNu555A5wEkGS_lcnKIfFx4ydiLomji4HPzkNYkHId6zCqfJsoPevsSePYpp46ZkZMddY32aZMK-iMmcFowPrgzRjuGcoK-9BfguBXgIms9SjEJXHwQ-wsDi1WFEKGPIAFQatSjp9XyX3TSw5X4vkogXdPrYEl0GfFuAkNiNgAYNly/s1280/Discrete%20Random%20Variable.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS and A level maths, 9709, probability and statistics, discrete random variables, expectation of random variables, variance of discrete random variables, random, permutation, combination, probability and sample space" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjIYHjLFP4GlhIiO7jNu555A5wEkGS_lcnKIfFx4ydiLomji4HPzkNYkHId6zCqfJsoPevsSePYpp46ZkZMddY32aZMK-iMmcFowPrgzRjuGcoK-9BfguBXgIms9SjEJXHwQ-wsDi1WFEKGPIAFQatSjp9XyX3TSw5X4vkogXdPrYEl0GfFuAkNiNgAYNly/w640-h360/Discrete%20Random%20Variable.PNG" title="Cambridge AS level pure mathematics past paper items on discrete random variables" width="640" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability & Statistics 1 / Discrete Random Variables</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Discrete Random Variable Concepts</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Probability Distribution</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Expectation of Random Variables</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Variance of Random Variables</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Sample Space</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Events</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Probability Concepts</span><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Permutation</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Combination</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Discrete Random Variables</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj32VPwfj9RI8VezIlBInxtZZgOUaPlrfJ5IGL_YSZB-PYB2VTwnb6DWKfgqDnSSLsXScHFCgSHZqCl2K-h6738RxmW3bzw3Gju9y1AnF4qMafgpXSEeIHBJY_DCMZLU8g3LmKNBCQ-3fygLPds-zod8prgEW0x_xQEAnY5fA9pxG0gKHAHyW6wGHFtBWNb/s1280/probability%20distribution.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS and A level maths, 9709, probability and statistics, discrete random variables, expectation of random variables, variance of discrete random variables, random, permutation, combination, probability and sample space" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj32VPwfj9RI8VezIlBInxtZZgOUaPlrfJ5IGL_YSZB-PYB2VTwnb6DWKfgqDnSSLsXScHFCgSHZqCl2K-h6738RxmW3bzw3Gju9y1AnF4qMafgpXSEeIHBJY_DCMZLU8g3LmKNBCQ-3fygLPds-zod8prgEW0x_xQEAnY5fA9pxG0gKHAHyW6wGHFtBWNb/w320-h180/probability%20distribution.PNG" title="probability distribution of discrete random variables" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigEYjPe3N92shqqFWGRJ0uEd2stSWMwvTeMk8JsNqLKYVRq2177iEDZPDsnYC2mD5eH_AHef1C3Hi3WGeHZ0jJ_0rF55W87XHgrJUB9JgMPiKILSoi6YDWdgeHhyBGpRPaq-LFJ0l8NXt6SOMkyqc4ykQWW18bwEnD9eynnM2kkNCgS7Ck0qdMsA7sOVwh/s1280/Expectation%20random%20varia.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS and A level maths, 9709, probability and statistics, discrete random variables, expectation of random variables, variance of discrete random variables, random, permutation, combination, probability and sample space" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEigEYjPe3N92shqqFWGRJ0uEd2stSWMwvTeMk8JsNqLKYVRq2177iEDZPDsnYC2mD5eH_AHef1C3Hi3WGeHZ0jJ_0rF55W87XHgrJUB9JgMPiKILSoi6YDWdgeHhyBGpRPaq-LFJ0l8NXt6SOMkyqc4ykQWW18bwEnD9eynnM2kkNCgS7Ck0qdMsA7sOVwh/w320-h180/Expectation%20random%20varia.PNG" title="expectation and distribution of discrete random variables" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgdjx1U2YW5Zaudgy3hK60Ijo02pmkD6X14G6bPYkF2f-1xB47m2kcIgDyHCJ8rat53GFNV3uPp0-snGRyu3a8m8FtDKc2YjuL0B1Ju25xF-V1YuEQs9kCcAIxqjQFWAygmwAl3fNFY3CxUS31r7wawI4tiTCPxRg_yWuS0Lcjexi99_0SoIBmZWtcR0Xq/s1280/discrete%20random%20var.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS and A level maths, 9709, probability and statistics, discrete random variables, expectation of random variables, variance of discrete random variables, random, permutation, combination, probability and sample space" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgdjx1U2YW5Zaudgy3hK60Ijo02pmkD6X14G6bPYkF2f-1xB47m2kcIgDyHCJ8rat53GFNV3uPp0-snGRyu3a8m8FtDKc2YjuL0B1Ju25xF-V1YuEQs9kCcAIxqjQFWAygmwAl3fNFY3CxUS31r7wawI4tiTCPxRg_yWuS0Lcjexi99_0SoIBmZWtcR0Xq/w320-h180/discrete%20random%20var.PNG" title="variance and probability distribution of dicrete random variables" width="320" /></a></div><br /><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1zwMXbK0WSqswL-UkXM0twybccrpZhvzr/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Cambridge AS and A level maths, 9709, probability and statistics, discrete random variables, expectation of random variables, variance of discrete random variables, random, permutation, combination, probability and sample space" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg80QoJti1G2weNcEs8rPjlBWVOXFk6f7te0a-rAnjeZQuCozSdvl8pE13Q54GjRnBXWQnr5Fi3pNy0VEelaiTy9rBT9MbexgDe0lNc5BQ-M3ataGd9eZsgQktkCBIyoE0yHz5TU9FeG69w6_eMVjbGUNfOpr5_zVHu0kNhWSZXGVndsfxr2KxlfEsiXVvz/w320-h180/Discrete%20Random%20Variable.PNG" title="past paper items on discrete random variables" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">Youtube link: <a href="https://www.youtube.com/watch?v=5cFSJtOU-HI">https://www.youtube.com/watch?v=5cFSJtOU-HI</a></div></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may be interested on other math videos that CIE Math Solutions have:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXQ_-mceKFczU1E9epxTQAxpBYFqpeamvDmypKY-z90l_ZK0W4zdI75DmqMF_YwC5ViSo1joav4r1woYDa8IDW9qQXg0PSjmRA_96u6sjQy8WouNtNXJweHWdLh6ipZWpUaVklnfITvavF77GHUTqYWJb_p-xYCcATT4WoZj_gtpmonqjnT2SkMl9K_2mW/s1280/CIE%20Math%20tutorial%20videos.PNG" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;"><img alt="CIE Math Solutions, ciemathsolutions, math, math tutorial videos, math videos, pure mathematics, probability and statistics, Cambridge AS and A level maths, IGCSE mathematics, 9709, probability, sequences and series, online math videos" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXQ_-mceKFczU1E9epxTQAxpBYFqpeamvDmypKY-z90l_ZK0W4zdI75DmqMF_YwC5ViSo1joav4r1woYDa8IDW9qQXg0PSjmRA_96u6sjQy8WouNtNXJweHWdLh6ipZWpUaVklnfITvavF77GHUTqYWJb_p-xYCcATT4WoZj_gtpmonqjnT2SkMl9K_2mW/w320-h180/CIE%20Math%20tutorial%20videos.PNG" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE Math Solutions math tutorial videos" width="320" /></a></div><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjV1BXXGETCDQ67jPA12VASw3pp-meyni-6Z8EHRTEMoQot87jg6HVvddczC-PVhbcixWmO1eEGvsDAlz9hCP8gEGLRBVajKQT3ovKnug8IUV5-OBS7Ez2jzH_AWlhYrWzpaYhqmi8YBl5uZwTiPIczTr3TE8nK5RAdU-XGSE48e8TmDeETnMT2XJW5WPfK/s1280/CIE%20Maths%20short%20videos.PNG" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;"><img alt="CIE Math Solutions, ciemathsolutions, math, math tutorial videos, math videos, pure mathematics, probability and statistics, Cambridge AS and A level maths, IGCSE mathematics, 9709, probability, sequences and series, online math videos, puzzles, math tricks, math shortcuts" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjV1BXXGETCDQ67jPA12VASw3pp-meyni-6Z8EHRTEMoQot87jg6HVvddczC-PVhbcixWmO1eEGvsDAlz9hCP8gEGLRBVajKQT3ovKnug8IUV5-OBS7Ez2jzH_AWlhYrWzpaYhqmi8YBl5uZwTiPIczTr3TE8nK5RAdU-XGSE48e8TmDeETnMT2XJW5WPfK/w320-h180/CIE%20Maths%20short%20videos.PNG" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE Math solutions shorts videos" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. Write them in the comment box below. Thank you and God bless! </span></span></span></div><div style="background: transparent; border: 0px; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://www.youtube.com/@ciemathsolutions" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="ciemathsolutions, past paper items, math contents, math tutor, math help, math topics, math tricks and puzzles, math resources, math shortcuts, maths" border="0" data-original-height="3375" data-original-width="3375" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnxNh0zQ-0aEvo85Y_s69aZXA22mcW03IxRn6QMX7u1FxjM1gjs0ezPOOdxNsGPGjPODXgcsCdV4sk3kmpcNnOUazK3p-n6-fMKOfA-wGzzhTK0jiBD9KP-2Y1EDeO1Tnglvw3a_OR2LM3F82_0YrftiVPGivDrCB221XTMnMWCBO96YiCRYWmqevRFA/w200-h200/Follow%20CIE%20Math%20Solutions.png" style="background: transparent; 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border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMwt4CVPklwEIRN_d8H07gOAC04SvG11VK-Zz0Ix5IsWsE1KUeiu2NbYpS8qsvF1E2DJAfjjYUN86FGPUEue_BydSBsKj_C-8J0ORq96Gc8mADtKQ2qbiHmJTVacH3veM4peSREuoc_ZFnBZOUCXHcIJIR5pOPaLKcIuRztXqHNHVZDEl0f-7jbmLEuq00/s1280/Discrete%20random%20variables.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS and A level maths, 9709, probability and statistics, discrete random variables, expectation of random variables, variance of discrete random variables, random, permutation, combination, probability and sample space" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiMwt4CVPklwEIRN_d8H07gOAC04SvG11VK-Zz0Ix5IsWsE1KUeiu2NbYpS8qsvF1E2DJAfjjYUN86FGPUEue_BydSBsKj_C-8J0ORq96Gc8mADtKQ2qbiHmJTVacH3veM4peSREuoc_ZFnBZOUCXHcIJIR5pOPaLKcIuRztXqHNHVZDEl0f-7jbmLEuq00/w640-h360/Discrete%20random%20variables.PNG" title="Cambridge AS level math past paper items on discrete random variables" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability & Statistics 1 / Discrete Random Variables</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Discrete Random Variable Concepts</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Probability Distribution</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Expectation of Random Variables</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Variance of Random Variables</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Sample Space</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Events</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Probability Concepts</span><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Permutation</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Combination</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Discrete Random Variables</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9iZCw8RYFTdwk2in9qa0ssXudIcM4-JGabmnxCNrTDyu_HyvZzJ49ATrqVEHKJelO8fwkSj8IfT8MFLiPS8Xyhrp8AH2U7C6OiKFkxbiPTpJzs3_faIzfs7l1A3F9v_W1PK-SqezQ382OEpCYtboNB8awEhP3xG0NegkeZjvDw2btsKMswUs3FNhPedfw/s1280/Expectation%20and%20variance.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS and A level maths, 9709, probability and statistics, discrete random variables, expectation of random variables, variance of discrete random variables, random, permutation, combination, probability and sample space" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9iZCw8RYFTdwk2in9qa0ssXudIcM4-JGabmnxCNrTDyu_HyvZzJ49ATrqVEHKJelO8fwkSj8IfT8MFLiPS8Xyhrp8AH2U7C6OiKFkxbiPTpJzs3_faIzfs7l1A3F9v_W1PK-SqezQ382OEpCYtboNB8awEhP3xG0NegkeZjvDw2btsKMswUs3FNhPedfw/w320-h180/Expectation%20and%20variance.PNG" title="probability distribution of discrete random variables" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfqW6Rk78_3tA0VKDiHkc4HzPLTGm2RNFvRSOq2Rt7SPng4SiUKJckw6LfkVbxBnFKh_t381mvCpvp-gT7rBu6kXb_eA3IOS9VbP7uZ5Te-qUFdBOIoncLEmYaGN66N3lPbnp0QquyUIBTAG-kg1sNRFbcmkMr3Rf5tQb49wAmr33TMcopUyeepIeYVf-1/s1280/Probability%20distribution.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS and A level maths, 9709, probability and statistics, discrete random variables, expectation of random variables, variance of discrete random variables, random, permutation, combination, probability and sample space" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfqW6Rk78_3tA0VKDiHkc4HzPLTGm2RNFvRSOq2Rt7SPng4SiUKJckw6LfkVbxBnFKh_t381mvCpvp-gT7rBu6kXb_eA3IOS9VbP7uZ5Te-qUFdBOIoncLEmYaGN66N3lPbnp0QquyUIBTAG-kg1sNRFbcmkMr3Rf5tQb49wAmr33TMcopUyeepIeYVf-1/w320-h180/Probability%20distribution.PNG" title="expectation and variance of discrete random variables" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7G564AjoPn8IhWpN_adm8XknvIjSPlNvHme6ShjEt0IkeD7ef9wkAjjBSyvefdx1K6euLIiu0tm_DjHq4CLYuHT5kOtDTy8Lq0HmFNnWuHNWNqN2zGDLblo_RhJbNduW-JD6mmf8jvFUPa6qWuoGCafNghyjBqtGYk6wjmUAC3R6SrDBEEEGPh4LxJRLd/s1280/Random%20variables%20on%20dice.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS and A level maths, 9709, probability and statistics, discrete random variables, expectation of random variables, variance of discrete random variables, random, permutation, combination, probability and sample space" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7G564AjoPn8IhWpN_adm8XknvIjSPlNvHme6ShjEt0IkeD7ef9wkAjjBSyvefdx1K6euLIiu0tm_DjHq4CLYuHT5kOtDTy8Lq0HmFNnWuHNWNqN2zGDLblo_RhJbNduW-JD6mmf8jvFUPa6qWuoGCafNghyjBqtGYk6wjmUAC3R6SrDBEEEGPh4LxJRLd/w320-h180/Random%20variables%20on%20dice.PNG" title="mean and variance of discrete random variables" width="320" /></a></div><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1b2VawDsYes6jDJECRrnY28AokZ85MCnp/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Cambridge AS and A level maths, 9709, probability and statistics, discrete random variables, expectation of random variables, variance of discrete random variables, random, permutation, combination, probability and sample space" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXDkqhsC_HmwWsvh7iyJCK2MT9cBnLSTPjFU55ECPDSiYDl83_TWGuuktlTdD9pmdQH-lHvFp-Ly0wKOnVIYadsbGsOXBs1rzH7aHYpd4_r1CFxML2heDF_3b5rlCMgPMxRorDn0qG28fLTt8DAJFn2sA_UeJlx235jqueZ9FvDu6-q3VA5pK-ZFJUkvEt/w320-h180/Discrete%20random%20variables.PNG" title="past paper items on discrete random variables" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">YOUTUBE link: <a href="https://www.youtube.com/watch?v=4WA5eK07XG4">https://www.youtube.com/watch?v=4WA5eK07XG4</a></div></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may be interested on other math videos that CIE Math Solutions have:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXQ_-mceKFczU1E9epxTQAxpBYFqpeamvDmypKY-z90l_ZK0W4zdI75DmqMF_YwC5ViSo1joav4r1woYDa8IDW9qQXg0PSjmRA_96u6sjQy8WouNtNXJweHWdLh6ipZWpUaVklnfITvavF77GHUTqYWJb_p-xYCcATT4WoZj_gtpmonqjnT2SkMl9K_2mW/s1280/CIE%20Math%20tutorial%20videos.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE Math Solutions, ciemathsolutions, math, math tutorial videos, math videos, pure mathematics, probability and statistics, Cambridge AS and A level maths, IGCSE mathematics, 9709, probability, sequences and series, online math videos" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjXQ_-mceKFczU1E9epxTQAxpBYFqpeamvDmypKY-z90l_ZK0W4zdI75DmqMF_YwC5ViSo1joav4r1woYDa8IDW9qQXg0PSjmRA_96u6sjQy8WouNtNXJweHWdLh6ipZWpUaVklnfITvavF77GHUTqYWJb_p-xYCcATT4WoZj_gtpmonqjnT2SkMl9K_2mW/w320-h180/CIE%20Math%20tutorial%20videos.PNG" title="CIE Math Solutions math tutorial videos" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjV1BXXGETCDQ67jPA12VASw3pp-meyni-6Z8EHRTEMoQot87jg6HVvddczC-PVhbcixWmO1eEGvsDAlz9hCP8gEGLRBVajKQT3ovKnug8IUV5-OBS7Ez2jzH_AWlhYrWzpaYhqmi8YBl5uZwTiPIczTr3TE8nK5RAdU-XGSE48e8TmDeETnMT2XJW5WPfK/s1280/CIE%20Maths%20short%20videos.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE Math Solutions, ciemathsolutions, math, math tutorial videos, math videos, pure mathematics, probability and statistics, Cambridge AS and A level maths, IGCSE mathematics, 9709, probability, sequences and series, online math videos, puzzles, math tricks, math shortcuts" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjV1BXXGETCDQ67jPA12VASw3pp-meyni-6Z8EHRTEMoQot87jg6HVvddczC-PVhbcixWmO1eEGvsDAlz9hCP8gEGLRBVajKQT3ovKnug8IUV5-OBS7Ez2jzH_AWlhYrWzpaYhqmi8YBl5uZwTiPIczTr3TE8nK5RAdU-XGSE48e8TmDeETnMT2XJW5WPfK/w320-h180/CIE%20Maths%20short%20videos.PNG" title="CIE Math solutions shorts videos" width="320" /></a></div><span style="background: transparent; 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Write them in the comment box below. Thank you and God bless! </span></span></span></div><div style="background: transparent; border: 0px; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://www.youtube.com/@ciemathsolutions" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="ciemathsolutions, past paper items, math contents, math tutor, math help, math topics, math tricks and puzzles, math resources, math shortcuts, maths" border="0" data-original-height="3375" data-original-width="3375" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnxNh0zQ-0aEvo85Y_s69aZXA22mcW03IxRn6QMX7u1FxjM1gjs0ezPOOdxNsGPGjPODXgcsCdV4sk3kmpcNnOUazK3p-n6-fMKOfA-wGzzhTK0jiBD9KP-2Y1EDeO1Tnglvw3a_OR2LM3F82_0YrftiVPGivDrCB221XTMnMWCBO96YiCRYWmqevRFA/w200-h200/Follow%20CIE%20Math%20Solutions.png" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE Math Solutions" width="200" /></a><a href="https://www.youtube.com/@ciemathsolutions" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="ciemathsolutions, past paper items, math contents, math tutor, math help, math topics, math tricks and puzzles, math resources, math shortcuts, maths" border="0" data-original-height="3375" data-original-width="3375" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgywUpyNq7aHfpk3r3XqTDffxAYC4UKf_BHKFvJ2sh7B9FE0VTd8hBpznpkFlPL0h3tZmZeQhLyo8ed-HaW5TzjXtntCQyBdpn35j0kKw8U5s0PrZMZWc06tgzn1SFSR-pmt4bHxHTEB7zpftVLwsYr5lXApoK4ZPQMVo3c_3AVGHcKj_B4Vo6g5mhtMw/w200-h200/Connect%20with%20CIE%20Math%20Solutions.png" style="background: transparent; 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border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">---------------------------------------------------------------------------------------------------------------</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; 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outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="http://www.ciemathsolutions.blogspot.com/" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">www.ciemathsolutions.blogspot.com</span></i></span></span></a> </span></div></span></span></span></span></span></span></div></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com0tag:blogger.com,1999:blog-7452953280337461186.post-73214713063719150762023-12-18T16:39:00.003+07:002024-02-05T14:48:59.133+07:00Cambridge AS Level Mathematics 9709 (Probability & Statistics 1) Past Paper Items on Probability [Part 3]<div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOK5gIm-wpWMXyaziDGIkK_2yX7fy1WHy1OhX-92zh6K017Xn9dDre3vSprAzLfdNibBhdBURZTMb7NMMl3RKwnlJLkj8Z7PZx7SqmDhW-hkWDbEoslgrzlgq3vC8NJQb0EHMdO2CDbVp4rkqMfViLzUoSQxckrPuUa4wfxVBhGi4ppKU20rTBOXU6M6sk/s1280/CIE%20past%20paper%20items%20on%20probability%20%5BPart%203%5D.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS level exam, Cambridge probability and statistics, conditional probability, mutually exclusive events, independent events, probability, sample space, dependent events, tree diagram, with replacement, without replacement, dice probability" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhOK5gIm-wpWMXyaziDGIkK_2yX7fy1WHy1OhX-92zh6K017Xn9dDre3vSprAzLfdNibBhdBURZTMb7NMMl3RKwnlJLkj8Z7PZx7SqmDhW-hkWDbEoslgrzlgq3vC8NJQb0EHMdO2CDbVp4rkqMfViLzUoSQxckrPuUa4wfxVBhGi4ppKU20rTBOXU6M6sk/w640-h360/CIE%20past%20paper%20items%20on%20probability%20%5BPart%203%5D.PNG" title="CIE past paper items on probability" width="640" /></a></div></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability & Statistics 1 / Probability</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Probability Concepts</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Sample Space</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Mutually Exclusive Events</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Non-mutually Exclusive Events</span><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Independent Evets</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Dependent Events</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Conditional Probability</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > tree diagram</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Probability</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhIyO81eJ3yiGWW5HYVMOigGjPb6-4uw-qAxidOxA94eU3Q9_g71MP1vhBkSAzEndkx1AHJ30f4b9tb_GU4DU9yHTJbUpgMDavstvn78OvuFQSH1jgF5utwqMYUO921t-IEMJwPba6fvlpMfwavCOcQl2ryRSbWVO7l3joGNWRI-KnFdGiSRjSkZIVrUx7d/s1280/conditional%20probability.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS level exam, Cambridge probability and statistics, conditional probability, mutually exclusive events, independent events, probability, sample space, dependent events, tree diagram, with replacement, without replacement, dice probability" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhIyO81eJ3yiGWW5HYVMOigGjPb6-4uw-qAxidOxA94eU3Q9_g71MP1vhBkSAzEndkx1AHJ30f4b9tb_GU4DU9yHTJbUpgMDavstvn78OvuFQSH1jgF5utwqMYUO921t-IEMJwPba6fvlpMfwavCOcQl2ryRSbWVO7l3joGNWRI-KnFdGiSRjSkZIVrUx7d/w320-h180/conditional%20probability.PNG" title="conditional probability example practice exercise" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwtO_KtC08kGSyuojGsZzoR16xwCkGt4wFY6HnYfhLPAy6XG2kNisCk4pU41EIwhIGMa8XYC9TdoiYJhD1rtNGmj-hR3hfPbSEXA3b7tESKUw1J3_WOmXIArW39OyGJ1a9GTpaVM0YE7JTjKUhheFs53CoqDf8TPDD1IKsPZeHCoF4cKY9PaivD8IVV5Pz/s1280/dice%20and%20probability.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS level exam, Cambridge probability and statistics, conditional probability, mutually exclusive events, independent events, probability, sample space, dependent events, tree diagram, with replacement, without replacement, dice probability" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjwtO_KtC08kGSyuojGsZzoR16xwCkGt4wFY6HnYfhLPAy6XG2kNisCk4pU41EIwhIGMa8XYC9TdoiYJhD1rtNGmj-hR3hfPbSEXA3b7tESKUw1J3_WOmXIArW39OyGJ1a9GTpaVM0YE7JTjKUhheFs53CoqDf8TPDD1IKsPZeHCoF4cKY9PaivD8IVV5Pz/w320-h180/dice%20and%20probability.PNG" title="dice and probability example practice exercise" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-sqhP3Os6Iye8XEBb5jYhcJJhrsoh8TZc1Ht_5Nzaj0y3rDN31N1aPzAxvzISb4Ma-lq5hdatYv5W1wAWgxz8Hc7QMuBStG1I_RnPHvOFquh5e7jPmpNCk_FUADrDc5h5lFi_u02SJAcNY8MUeR8sXK58sX5elg1uPk6eyBc3nOaIna55oLgLFMvF_kUd/s1280/Independent%20events%20and%20conditional%20probability.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="Cambridge AS level exam, Cambridge probability and statistics, conditional probability, mutually exclusive events, independent events, probability, sample space, dependent events, tree diagram, with replacement, without replacement, dice probability" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-sqhP3Os6Iye8XEBb5jYhcJJhrsoh8TZc1Ht_5Nzaj0y3rDN31N1aPzAxvzISb4Ma-lq5hdatYv5W1wAWgxz8Hc7QMuBStG1I_RnPHvOFquh5e7jPmpNCk_FUADrDc5h5lFi_u02SJAcNY8MUeR8sXK58sX5elg1uPk6eyBc3nOaIna55oLgLFMvF_kUd/w320-h180/Independent%20events%20and%20conditional%20probability.PNG" title="independent events and conditional probability" width="320" /></a></div><br /></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1N2S17tHOxok8N4D8yVh_rVobJPUlSoQ_/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="Cambridge AS level exam, Cambridge probability and statistics, conditional probability, mutually exclusive events, independent events, probability, sample space, dependent events, tree diagram, with replacement, without replacement, dice probability" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_3A9rQoIh8jtRG5m-tHwt9M2YhVRhZgwhTRvkLkiMmWrdV_M-sPlF685UYCX3H9TiSwvRU13_zLrjGMyY3Y-CLyFgsqN4nqN_VODXsJoFo-k4J_PeV-pvzmbL5rnzHefkM-6-0i0G-dNi5byPD09Ib0Skby9nnF5AjrkwfKYtcrC5SobnWJx-ck1BDUVl/w320-h180/CIE%20past%20paper%20items%20on%20probability%20%5BPart%203%5D.PNG" title="CIE AS level past paper items on probability" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">Youtube link: <a href="https://www.youtube.com/watch?v=PwyaECDH6YM">https://www.youtube.com/watch?v=PwyaECDH6YM</a></div><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; 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border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; 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outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="http://www.ciemathsolutions.blogspot.com/" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">www.ciemathsolutions.blogspot.com</span></i></span></span></a> </span></div></span></span></span></span></span></span></div></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com0tag:blogger.com,1999:blog-7452953280337461186.post-86865267848193326042023-12-09T22:00:00.002+07:002024-02-05T14:49:40.153+07:00Cambridge AS Level Mathematics 9709 (Pure Mathematics 1) Past Paper Items on Integration [Part 3]<div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6QgOH5ehJcMo-ImKhhZfqTX3N6nd2o5pk0VAim0jo6ikxKI4WveXRa1kJa0xJbvy9m1VzsjlfpIUZEN9N2Hr5QFyA4Ql5mrZ_YxKWAbS4cYNKz2OEPQ7nzcBbUooTbWJ-5aMIKBrN6_3KDHRY_QHn0L4Bk1fb27ZIAlemv1b-M_yfhZaGJ6QgYI8kMGvI/s2560/Past%20paper%20items%20on%20integration.png" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area of shaded region by integration, volumes by integration, equation of curves by integration, reverse chain rule, definite integral, tangent lines, normal line, stationary points, intersection" border="0" data-original-height="1440" data-original-width="2560" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi6QgOH5ehJcMo-ImKhhZfqTX3N6nd2o5pk0VAim0jo6ikxKI4WveXRa1kJa0xJbvy9m1VzsjlfpIUZEN9N2Hr5QFyA4Ql5mrZ_YxKWAbS4cYNKz2OEPQ7nzcBbUooTbWJ-5aMIKBrN6_3KDHRY_QHn0L4Bk1fb27ZIAlemv1b-M_yfhZaGJ6QgYI8kMGvI/w640-h360/Past%20paper%20items%20on%20integration.png" title="CIE past paper items on Integration" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Pure Mathematics 1 / Integration</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Integration Rules</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Reverse Chain Rule</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Definite Integrals</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Stationary Points</span><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Tangents and Normals</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Second Derivative Test</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Area of a Shaded Region</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Integration</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn3L7xAkkDbwDKGp9dEL1jhyBTSpCo1NyEIkpW08XwoQdLzQcK0Vqgwr55eKQ7Fi_ioYvZanbBOhYXSWwl8UEYmvKP4LW-yWqVKhDsphcT07pCvh4YNEvfy4vn_vY7Jo1PX40ovDfdeUP6bTW5-N752EXhdGeKqlIFAGXjd1h1d97D4tv7x8Uuo9GGZJcf/s1280/Finding%20the%20area%20bounded%20by%20a%20curve%20and%20a%20line.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area of shaded region by integration, volumes by integration, equation of curves by integration, reverse chain rule, definite integral, tangent lines, normal line, stationary points, intersection" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn3L7xAkkDbwDKGp9dEL1jhyBTSpCo1NyEIkpW08XwoQdLzQcK0Vqgwr55eKQ7Fi_ioYvZanbBOhYXSWwl8UEYmvKP4LW-yWqVKhDsphcT07pCvh4YNEvfy4vn_vY7Jo1PX40ovDfdeUP6bTW5-N752EXhdGeKqlIFAGXjd1h1d97D4tv7x8Uuo9GGZJcf/w320-h180/Finding%20the%20area%20bounded%20by%20a%20curve%20and%20a%20line.PNG" title="CIE past paper items on integration" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDxwrD0sX91l_vl_X14uujCFqdo1UbWU8VK4nXinjD3aPaYUuI7wQ5mkcIGfH7bmfFT30MUnCjmpXhktcx_hcwmQIBHZKdRniJnSEnW9tsxTfGnyjNtd2W_wBBgkPZaYpOFgQI2k3-0HiSw-KY5lNRw3OIygNVNNMG60622ufVC7oEb6Z1UW1_kKbowLNU/s1280/Finding%20the%20stationary%20points%20of%20a%20curve.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area of shaded region by integration, volumes by integration, equation of curves by integration, reverse chain rule, definite integral, tangent lines, normal line, stationary points, intersection" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgDxwrD0sX91l_vl_X14uujCFqdo1UbWU8VK4nXinjD3aPaYUuI7wQ5mkcIGfH7bmfFT30MUnCjmpXhktcx_hcwmQIBHZKdRniJnSEnW9tsxTfGnyjNtd2W_wBBgkPZaYpOFgQI2k3-0HiSw-KY5lNRw3OIygNVNNMG60622ufVC7oEb6Z1UW1_kKbowLNU/w320-h180/Finding%20the%20stationary%20points%20of%20a%20curve.PNG" title="CIE past paper items on integration" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2G1PYw-3fuB5KS0k9ED7-80X1B-bKxJYf4yK85bNyTNjD_T9q1Ogai48pj-Y2daufbsCR9MBhzYpRcy6vUf6MZxn6v4SwmdVNEDyP2pFMUi4oLlloaxQdv42-csMsaB4qWxH3NLLZH8HVV3YcSD4hFddp4ErxHjGmk_-0akAF3tOI2MtJkxxRAdEq01Cy/s1280/Find%20intersection%20and%20area%20between%20curve%20and%20line.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area of shaded region by integration, volumes by integration, equation of curves by integration, reverse chain rule, definite integral, tangent lines, normal line, stationary points, intersection" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2G1PYw-3fuB5KS0k9ED7-80X1B-bKxJYf4yK85bNyTNjD_T9q1Ogai48pj-Y2daufbsCR9MBhzYpRcy6vUf6MZxn6v4SwmdVNEDyP2pFMUi4oLlloaxQdv42-csMsaB4qWxH3NLLZH8HVV3YcSD4hFddp4ErxHjGmk_-0akAF3tOI2MtJkxxRAdEq01Cy/w320-h180/Find%20intersection%20and%20area%20between%20curve%20and%20line.PNG" title="CIE past paper items on integrals" width="320" /></a></div><br /></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://bit.ly/3RhD5Qf" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area of shaded region by integration, volumes by integration, equation of curves by integration, reverse chain rule, definite integral, tangent lines, normal line, stationary points, intersection" border="0" data-original-height="1440" data-original-width="2560" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjr7NAsTJpSAZf0qFboBpn4SPtAqLxcOvXxYE-_XR5eiySE6PLsYMqPT23e2Y-tpa3ngPrkcJ_cWf5Bpci1A1xEP3jyIt8bHCyG5H-Y-jkcP94WZZ6Kuc1cWupBPN5zoqcOpVKz95sY3k-AnJbyr2FFXlO8ntqU0OGGPxW7BZOV-NAo8fbvM_8R-oT1ZzZi/w320-h180/Past%20paper%20items%20on%20integration.png" title="CIE past paper items on integrals" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;">Youtube link: <a href="https://www.youtube.com/watch?v=G-WNHBakTLc">https://www.youtube.com/watch?v=G-WNHBakTLc</a></div><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; 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border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5c0_Ceuh6pLtXcmUVfbO1mDWl47wMubCOtiDMlSLK0oFZf6JM6VYjQeMP4LN_c2lv7UsmS_ZnQJOc1MS9wLfJ7wCKuLwBEzVxjRjTBW9zhi17Gw_xNb-4wCIwCH5VAX-wyBsDF_ffy7umiDLHAF11UfpSKci9DwepYYJ8yXf93NlUmF3S44Sn-T5Ce_hy/s1280/CIE%20past%20paper%20items%20on%20integration.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area of shaded region by integration, volumes by integration, equation of curves by integration, reverse chain rule, definite integral" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5c0_Ceuh6pLtXcmUVfbO1mDWl47wMubCOtiDMlSLK0oFZf6JM6VYjQeMP4LN_c2lv7UsmS_ZnQJOc1MS9wLfJ7wCKuLwBEzVxjRjTBW9zhi17Gw_xNb-4wCIwCH5VAX-wyBsDF_ffy7umiDLHAF11UfpSKci9DwepYYJ8yXf93NlUmF3S44Sn-T5Ce_hy/w640-h360/CIE%20past%20paper%20items%20on%20integration.PNG" title="CIE past paper items on integration" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Pure Mathematics 1 / Integration</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Integration Rules</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Reverse Chain Rule</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Definite Integrals</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Stationary Points</span><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Second Derivative Test</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Area of a Shaded Region</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Volumes by Integration</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Differentiation and Integration</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgzuWAjIqtTwxKyO2w6ZTOGG8Hwimu4vGaYssm5AZisPYPt3b2QWEgL9THHFMwqN4lHwBTmc0-jKO-BAYu-fW_SMNAfHbcnvkbjmC7dGH424qSAa-P1fYljQ9OzkSWAQza_EOlUqNNbcicY4eoSOnBLU2iyASWgbGvJC0fizFDuE2nNGTbXry34cEhZP4sK/s1280/Finding%20the%20area%20of%20shaded%20region%20by%20integration.PNG" style="margin-left: 1em; margin-right: 1em;"></a><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgzuWAjIqtTwxKyO2w6ZTOGG8Hwimu4vGaYssm5AZisPYPt3b2QWEgL9THHFMwqN4lHwBTmc0-jKO-BAYu-fW_SMNAfHbcnvkbjmC7dGH424qSAa-P1fYljQ9OzkSWAQza_EOlUqNNbcicY4eoSOnBLU2iyASWgbGvJC0fizFDuE2nNGTbXry34cEhZP4sK/s1280/Finding%20the%20area%20of%20shaded%20region%20by%20integration.PNG" style="margin-left: 1em; margin-right: 1em;"></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYku-hVYFoOpFlVh26_cmyzeuH72vfNwjRoFdCjqrbx_Hc-wtV6x-RZJFO9osiBsvq5XAymBmt_0TAerakkMRH2G_hb4q0FgDVcpOzqnnMoBE-MtgnpvyKCoVpHi-hsjMSr6EWfHw_MG-IjrfTPvKDDUPYJwZZJWGggAkBmlMpI4e2pIenDYTFq3LkfVjD/s1280/Finding%20the%20equation%20of%20a%20curve%20using%20integration.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area of shaded region by integration, volumes by integration, equation of curves by integration, reverse chain rule, definite integral" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjYku-hVYFoOpFlVh26_cmyzeuH72vfNwjRoFdCjqrbx_Hc-wtV6x-RZJFO9osiBsvq5XAymBmt_0TAerakkMRH2G_hb4q0FgDVcpOzqnnMoBE-MtgnpvyKCoVpHi-hsjMSr6EWfHw_MG-IjrfTPvKDDUPYJwZZJWGggAkBmlMpI4e2pIenDYTFq3LkfVjD/w320-h180/Finding%20the%20equation%20of%20a%20curve%20using%20integration.PNG" title="CIE past paper items on finding the equation of a curve by integration" width="320" /></a></div></div><br /><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRFKhK9qYA0CREhyMR3nvtXAYufN7rE2h7Y6sVuKYUCG5B-xnu9yTUboWgOUezG4JPmGubz4lSLpQQDTS2B3QoBFvqbgNk1xpZ92F0P_EJUxHT7pkh33Mtx_haM-rb5ipT-VQ27Pj-nHgsFehnmYIxhSrKK_PQiinOrM6q7y2WEvTtvBNvm5ua_lwdYjIw/s1280/Finding%20the%20intersections%20between%20two%20curves.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area of shaded region by integration, volumes by integration, equation of curves by integration, reverse chain rule, definite integral" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRFKhK9qYA0CREhyMR3nvtXAYufN7rE2h7Y6sVuKYUCG5B-xnu9yTUboWgOUezG4JPmGubz4lSLpQQDTS2B3QoBFvqbgNk1xpZ92F0P_EJUxHT7pkh33Mtx_haM-rb5ipT-VQ27Pj-nHgsFehnmYIxhSrKK_PQiinOrM6q7y2WEvTtvBNvm5ua_lwdYjIw/w320-h180/Finding%20the%20intersections%20between%20two%20curves.PNG" title="CIE past paper items on finding the area of a shaded region by integration" width="320" /></a></div> </div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfi_585oN_Etdx3lB6X-yJspTTIZfEzFXtyTatmuqE_jEmOb4HRzmS4XwETQNj9hctEzsoVXfqVwfQkbSYlz1u4G76n8g8wdSPjxynqdDBJZJNU6-1s7mle39_0CiNF4xpN-gDaCJb7BYjqYB1o8ePiO9Apv3CLLcNF_zNo_Npp4ii7DBa6LreIkEvjnfk/s1280/Finding%20the%20area%20of%20shaded%20region%20by%20integration.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area of shaded region by integration, volumes by integration, equation of curves by integration, reverse chain rule, definite integral" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfi_585oN_Etdx3lB6X-yJspTTIZfEzFXtyTatmuqE_jEmOb4HRzmS4XwETQNj9hctEzsoVXfqVwfQkbSYlz1u4G76n8g8wdSPjxynqdDBJZJNU6-1s7mle39_0CiNF4xpN-gDaCJb7BYjqYB1o8ePiO9Apv3CLLcNF_zNo_Npp4ii7DBa6LreIkEvjnfk/w320-h180/Finding%20the%20area%20of%20shaded%20region%20by%20integration.PNG" title="CIE past paper item in finding the area of shaded region by integration" width="320" /></a></div></span></span></span></div><br /><div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_k_g35FIbTXknpthLm3qc4o_RrDlNfDANezyXvV3z9Hw_UVWB5GN3yOdFDgFFPFD90dC_R51WqxUTNTQ9t9V2bjtHLZQ0lRok_OaHHpPDVfedMbt6ijYTkpKRN4WAvxVWIUFW9ARzNFP78giZ6RhzafyPX25Sf97j6196t5WGhM3hCnlRNgly28Vp4Osw/s1280/Finding%20the%20volume%20of%20revolution%20by%20integration.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area of shaded region by integration, volumes by integration, equation of curves by integration, reverse chain rule, definite integral" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi_k_g35FIbTXknpthLm3qc4o_RrDlNfDANezyXvV3z9Hw_UVWB5GN3yOdFDgFFPFD90dC_R51WqxUTNTQ9t9V2bjtHLZQ0lRok_OaHHpPDVfedMbt6ijYTkpKRN4WAvxVWIUFW9ARzNFP78giZ6RhzafyPX25Sf97j6196t5WGhM3hCnlRNgly28Vp4Osw/w320-h180/Finding%20the%20volume%20of%20revolution%20by%20integration.PNG" title="CIE past paper item on finding volumes by integration" width="320" /></a></div><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1eS6X_nD9eCBm36Y-deYVRSvBtveXgMk-/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area of shaded region by integration, volumes by integration, equation of curves by integration, reverse chain rule, definite integral" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjj8K8aAQWyk-8Nt3uvZkHmDu3o_eTnq_zRgFBoaG3o0eORfyB-UWA75R1F7PrY5ZPw-HPufce9GXvVnAtBSsOczEFF8py7Op3wbXAtZEY-tHAjNq1xgBmHgqBVd85ouuEBYVTQERPQ74D50zfh2ff9C1gW73smi8elJ_OWn4x_fImklC9dX_P19-Aenc8Q/w320-h180/CIE%20past%20paper%20items%20on%20integration.PNG" title="past paper items on integration" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><span style="font-family: arial;">Youtube link: <a href="https://www.youtube.com/watch?v=k_PyBq2u1ZE">https://www.youtube.com/watch?v=k_PyBq2u1ZE</a></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. Write them in the comment box below. Thank you and God bless! </span></span></span></div><div style="background: transparent; border: 0px; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://www.youtube.com/@ciemathsolutions" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="ciemathsolutions, past paper items, math contents, math tutor, math help, math topics, math tricks and puzzles, math resources, math shortcuts, maths" border="0" data-original-height="3375" data-original-width="3375" height="200" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjnxNh0zQ-0aEvo85Y_s69aZXA22mcW03IxRn6QMX7u1FxjM1gjs0ezPOOdxNsGPGjPODXgcsCdV4sk3kmpcNnOUazK3p-n6-fMKOfA-wGzzhTK0jiBD9KP-2Y1EDeO1Tnglvw3a_OR2LM3F82_0YrftiVPGivDrCB221XTMnMWCBO96YiCRYWmqevRFA/w200-h200/Follow%20CIE%20Math%20Solutions.png" style="background: transparent; 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border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></div><div><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></div></span></span></span></span></span></span></div></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com0tag:blogger.com,1999:blog-7452953280337461186.post-45155263151502879672023-05-12T20:45:00.004+07:002023-11-25T14:41:06.331+07:00Cambridge AS Level Mathematics 9709 (Pure Mathematics 1) Past Paper Items on Differentiation and Integration [Part 1]<div><span style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><div class="separator" style="clear: both; text-align: center;"><a href="https://www.youtube.com/@ciemathsolutions" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicxJ7u9-qHgA4fXNcJ4RXtu9LkHcW6D9JrwShDeFzcTmxQS5iS2HnqiVzbti-w_a1_immAXxKGeRwUvstsgJ84UvEPc-Z0uSScS-bWPDtfJMfFG6Hk_H6ET9G3G3LvfqgbWqZmvXqIFCGs1dl82W8ULb1W87z-msmhRywqWPO1wTZ2PMtbYHmf46go1g/w640-h360/Diffrentiation%20&%20integration.PNG" title="past paper items on differentiation and integration" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Pure Mathematics 1 / Differentiation & Integration</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">: </span></span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Differentiation Rules</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"> > Integration Rules</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"> > Chain Rule</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"> > Equation of a Line</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><span> </span><span> </span><span> > Stationary Points</span><br /></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"> > Second Derivative Test</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Differentiation and Integration</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEik_Oeq7PmhyXyFBXj0HoNurADpIzc3PBApOPVri9zuGH8EAXA6ENJGNJhLprhyZ9uIfxhCitAubJhpqhz8WqP7x-VHE6oout_qxivcWCSGT5tIYylnlS-djGnhYvZFaKOKBzdQ_eyjANU-xs6VdVvCHKPwSo7opuqfU-AM0g-_FuZGoq3PdqF3hQ4xVw/s1280/Area%20of%20shaded%20region.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEik_Oeq7PmhyXyFBXj0HoNurADpIzc3PBApOPVri9zuGH8EAXA6ENJGNJhLprhyZ9uIfxhCitAubJhpqhz8WqP7x-VHE6oout_qxivcWCSGT5tIYylnlS-djGnhYvZFaKOKBzdQ_eyjANU-xs6VdVvCHKPwSo7opuqfU-AM0g-_FuZGoq3PdqF3hQ4xVw/w320-h180/Area%20of%20shaded%20region.PNG" title="area of shaded region using integration" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHXz93U-mqF6LqMsDKXjr2s51pORDS-L4IdgM4KDj6kmFKIWN9mihRcKKxOJ0FjVMKXZTWomS2BOBodJSFEDdykmWbFneIMQhbgnciqdsnl9LC0-m37S2_EmvAuPACbq5CfpzUF0BsvMFIe4K08cw1b7qTIjOEqHgCIm447QsL1USS20SaqhKvhGqMtw/s1280/Definite%20integrals.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area under curves" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHXz93U-mqF6LqMsDKXjr2s51pORDS-L4IdgM4KDj6kmFKIWN9mihRcKKxOJ0FjVMKXZTWomS2BOBodJSFEDdykmWbFneIMQhbgnciqdsnl9LC0-m37S2_EmvAuPACbq5CfpzUF0BsvMFIe4K08cw1b7qTIjOEqHgCIm447QsL1USS20SaqhKvhGqMtw/w320-h180/Definite%20integrals.PNG" title="differentiation and integration" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOQTxbO2vutBY_ZbRt0_lVzlHo_SOYeAMkAvC8y1lodGsK3Nkeddt6287Egj0Tq-B1IZW-MChbV5YItQMYjk51oP4M35CBDvB6YZ1poq5MqnrtW3zJH6D54pmcGoiv2zvNS4EU9nH218GctCJc5dXEWaxUE7sIESe9i5uGU5OD4Q3dzFea_-MSsMKEFg/s1280/find%20equation%20of%20a%20curve.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area under curves, equation of a curve" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiOQTxbO2vutBY_ZbRt0_lVzlHo_SOYeAMkAvC8y1lodGsK3Nkeddt6287Egj0Tq-B1IZW-MChbV5YItQMYjk51oP4M35CBDvB6YZ1poq5MqnrtW3zJH6D54pmcGoiv2zvNS4EU9nH218GctCJc5dXEWaxUE7sIESe9i5uGU5OD4Q3dzFea_-MSsMKEFg/w320-h180/find%20equation%20of%20a%20curve.PNG" title="stationary points and equation of a curve" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWqU9A5rhU0ZNabxh24Iy7NY3CPOnmAVe6csf5yhUPYZ-oYPjpOVZGr7L9Sjv-_cmZ8Ex8D4MGLlsJ7kzPNEgofMYqfS3k4DfTLu6el3-u5kicGAjOoWXekj9A7atdUohXgftJzi_WGnBJ3S-v-0JwgOsBcbSTltov3-4_Lb0erswQZ4SYdV9F-T0OPA/s1280/Finding%20stationary%20points.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area under curves, equation of a curve" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWqU9A5rhU0ZNabxh24Iy7NY3CPOnmAVe6csf5yhUPYZ-oYPjpOVZGr7L9Sjv-_cmZ8Ex8D4MGLlsJ7kzPNEgofMYqfS3k4DfTLu6el3-u5kicGAjOoWXekj9A7atdUohXgftJzi_WGnBJ3S-v-0JwgOsBcbSTltov3-4_Lb0erswQZ4SYdV9F-T0OPA/w320-h180/Finding%20stationary%20points.PNG" title="equation of a curve using integration" width="320" /></a></div><span style="font-family: arial; font-size: medium;"><br /></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/10i2lzfCFqxf3kI2J0PQIQamn3-3fl2gO/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change, integration, definite integral, chain rule, area under curves, equation of a curve" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHTryTCVBax6kLgVwdZIcYKpA9QUF2MGt4K39W1R6bOLyjdIzT_hIWD4ktpBe1bvw80nYME6KQkBbaxMDjFHpD5zjGlXQnJ674nBjsU__wa-clT2mM1L0hYstmDhz-G5y0kUgOSib1jR2WwsLxNIegC0zDSVy6CdslMpea7UrgFmB2Ad8Y6i14YPgckA/w320-h180/Diffrentiation%20&%20integration.PNG" title="Cambridge AS level maths past paper items on differentiation and integration" width="320" /></a></div><span style="font-family: arial; font-size: medium;"><br /></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><span style="font-size: medium;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: medium;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; 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margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><br /></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><br /><br /></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: "Times New Roman"; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"> </span></div></span></span></span></span></span></div></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com0tag:blogger.com,1999:blog-7452953280337461186.post-21524499437222878932023-05-01T17:54:00.000+07:002023-05-01T17:54:03.792+07:00Definition and Notations for Differentiation [PART 1] | Cambridge AS Level Pure Mathematics 1 Review<div><span style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLEpZUXmeouY1sW589q1LmyBSKLTHlarOk-xPGlpVV9W9QJuPyushEOeerdfCHF0xgt6bHvvWd1saKnk-Y7-Fb-uNH8Zo7C2k0By9nc6seTomQkJorXebLNHzKic87z64O3vmpYRr1zYoWK92m64A7YOS90VwmVWg2ah39BKo-1og6fqpWVkEecoJv6A/s3375/1)%20Differentiation%20Definition%20and%20Notations.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change" border="0" data-original-height="3375" data-original-width="3375" height="640" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLEpZUXmeouY1sW589q1LmyBSKLTHlarOk-xPGlpVV9W9QJuPyushEOeerdfCHF0xgt6bHvvWd1saKnk-Y7-Fb-uNH8Zo7C2k0By9nc6seTomQkJorXebLNHzKic87z64O3vmpYRr1zYoWK92m64A7YOS90VwmVWg2ah39BKo-1og6fqpWVkEecoJv6A/w640-h640/1)%20Differentiation%20Definition%20and%20Notations.png" title="Differentiation definition and notations" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Pure Mathematics 1 / Differentiation</span></span></span></span></span><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><br /></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><b>Questions:</b></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"> - What is differentiation (in math)?</span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"> - What are the symbols and notations used in differentiation?</span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><br /></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;">Starting with the first question, what is differentiation?</span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVQnnB544-BD-2LMrMydYA3CpnXCuHHsw1pRX2I4-oRSF7Mq1ALauavaXQna_zmg27ML0_2PfiAq74jsCRIRC9zAeXTshQMpremTEQ6xX4LjkiZwn7Um9eYe4VFaRedb2J0ksk4jVsjz6NJ3hPNliGdP3CBkSTqRIta-kIQXQmd_U0M6W1DGDnDm9oSQ/s3375/2)%20What%20is%20differentiation.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change" border="0" data-original-height="3375" data-original-width="3375" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiVQnnB544-BD-2LMrMydYA3CpnXCuHHsw1pRX2I4-oRSF7Mq1ALauavaXQna_zmg27ML0_2PfiAq74jsCRIRC9zAeXTshQMpremTEQ6xX4LjkiZwn7Um9eYe4VFaRedb2J0ksk4jVsjz6NJ3hPNliGdP3CBkSTqRIta-kIQXQmd_U0M6W1DGDnDm9oSQ/w320-h320/2)%20What%20is%20differentiation.png" title="Definition of differentiation in math" width="320" /></a></div><span style="font-family: arial; font-size: medium;"><br /></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;">Note that gradient of a function = slope of a function. </span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhdRKrwW3qxqjoahZe21WezMgGV_b4iOtKUn87Xk2NIw2Q1krTQ9IV4sKhdtC3jFNiPsoM0aPl17yA0UHAePemGcKAp-_1SZzaPpTn2RXv_hsk-JSE2h0-PH4IjObruVJ8RmZeekxSphA3EBsbOX_Q0arIcezuyxUHH--4TUj6XyykJkbBPF_V7m9CLg/s3375/3)%20Process%20and%20Result%20of%20differentiation.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change" border="0" data-original-height="3375" data-original-width="3375" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjhdRKrwW3qxqjoahZe21WezMgGV_b4iOtKUn87Xk2NIw2Q1krTQ9IV4sKhdtC3jFNiPsoM0aPl17yA0UHAePemGcKAp-_1SZzaPpTn2RXv_hsk-JSE2h0-PH4IjObruVJ8RmZeekxSphA3EBsbOX_Q0arIcezuyxUHH--4TUj6XyykJkbBPF_V7m9CLg/w320-h320/3)%20Process%20and%20Result%20of%20differentiation.png" title="differentiation and derivative" width="320" /></a></div><span style="font-family: arial; font-size: medium;"><br /></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;">Differentiation is a measure of the instantaneous rate of change (called the derivative) in a function in terms of its variable. In other words it denotes the slope or gradient of a function.</span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><br /></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;">What are the symbols or notations used for differentiation?</span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiL8-uJQrfbCVCholmbDyBdRCctGWXSOKtjbn44EfkWqFhUrFJDtnvfy1rJRo6tc4FwrhevdMetq7z4HIrd-d1JEx0VdmOVw_kOxjyAQDad9vAOs23IrC57ycWZ1C6Q0vN2Dy4XEZTfAgQYM9uPtv0EJzjit9ntI0Fujp_NO-ETHt2DgpQK_yU-uZDQnQ/s3375/4)%20Differentiation%20notations%20and%20symbols.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, definition of differentiation, derivative, notations, symbols, first derivative, second derivative, differential calculus, gradient, slope, rate of change" border="0" data-original-height="3375" data-original-width="3375" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiL8-uJQrfbCVCholmbDyBdRCctGWXSOKtjbn44EfkWqFhUrFJDtnvfy1rJRo6tc4FwrhevdMetq7z4HIrd-d1JEx0VdmOVw_kOxjyAQDad9vAOs23IrC57ycWZ1C6Q0vN2Dy4XEZTfAgQYM9uPtv0EJzjit9ntI0Fujp_NO-ETHt2DgpQK_yU-uZDQnQ/w320-h320/4)%20Differentiation%20notations%20and%20symbols.png" title="differentiation notations and symbols" width="320" /></a></div><span style="font-family: arial; font-size: medium;"><br /></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Looking for Cambridge AS Level Math P1 past paper items? </span></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items on Differentiation here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/1OFTeFxvrNY0L-KtbFqqTTYwMkottJ1xh/view?usp=sharing" imageanchor="1" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="differentiation, differentiation rules, derivative, tangent to a curve, normal to a curve, as level exam, pure mathematics 1, exam preparation, revisions, show that, 9709, stationary points, nature of stationary points" border="0" class="" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdQxTo-rRZnmpd-2FfoUTg75WNmHS7QGhu7F8jIgZSjZpnMIQwMgcCcJzcm6loxPWsOc-PklqzPaMMATPgz9usjV42TCsGV_-XvybuVR-YBHiicuWmTBz5yBY_L9dE14JuKTSDVRtWMpDjJN4vMeFNQJWZZjHS8jN2AjjG9jeIOVzIINuKiL5bbWVnhw/w320-h180/past%20paper%20items%20on%20differentiation.PNG" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="practice past paper items on differentiation" width="320" /></a></div><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; 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border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">@ciemathsolution</a> </span></span></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Facebook Page: <a href="https://www.facebook.com/ciemathsolutions" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">CIE Math Solutions</a> </span></span></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="http://www.mathematicsrealm.blogspot.com/" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;">www.mathematicsrealm.blogspot.com</a> </span></i></span></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="http://www.learnatmathematicsrealm.blogspot.com/" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;">www.learnatmathematicsrealm.blogspot.com</a> </span></i></span></span></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="http://www.igcseatmathematicsrealm.blogspot.com/" style="background: transparent; border: 0px; color: #646464; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;">www.igcseatmathematicsrealm.blogspot.com</a> </span></i></span></span></span></div></span></span></span></div></span></span></span></span></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><a href="http://www.ciemathsolutions.blogspot.com/" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">www.ciemathsolutions.blogspot.com</span></i></span></span></a> </span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><br /></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><br /><br /></span></div><div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"> </span></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com0tag:blogger.com,1999:blog-7452953280337461186.post-1056644985335071322023-04-30T17:18:00.004+07:002023-04-30T17:18:33.749+07:00Introducing our Math & Infinity Designs Merchandise! <div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghMxbV_6NZ8Awe_XwFieo_wAbW0bHjV4wBF7t3oxYlYr9orBab_EITRryXwtl5C0Emy_3bAfYE-POMOR3n-q7k12xEvoWIYJukpOUyFK4s3zmNBu_Iff7sRdljhqhSSmFY4kfMqcfrbUBcKChByoUK_ZYQvRt1H1xqeRGVhZTfM_EFcJfCOBD4-VOoJw/s600/5.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="400" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEghMxbV_6NZ8Awe_XwFieo_wAbW0bHjV4wBF7t3oxYlYr9orBab_EITRryXwtl5C0Emy_3bAfYE-POMOR3n-q7k12xEvoWIYJukpOUyFK4s3zmNBu_Iff7sRdljhqhSSmFY4kfMqcfrbUBcKChByoUK_ZYQvRt1H1xqeRGVhZTfM_EFcJfCOBD4-VOoJw/w400-h400/5.png" title="math themed store" width="400" /></a></div><span style="font-family: arial;"><br /></span></div><span style="font-family: arial;">Check out our shop: <b><span style="color: red;"><a href="https://math-and-infinity-designs.myspreadshop.com/" target="_blank">MATH & INFINITY DESIGNS</a></span></b></span><div><span style="font-family: arial;"><br /></span></div><div><span style="font-family: arial;"><span style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">THEME</b>: Math Designs & More</span></span></span></span><div><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">ITEMS IN THE SHOP</b><span style="font-family: arial;">: </span><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > T-shirts (men, women, kids)</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Hoodies (men, women, kids)</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > backpacks & sports bags</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > tote bags</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > mugs</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > rugs & curtains</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > phone accessories</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > school supplies</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > pet accessories</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > throw pillows</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > aprons</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > and more...</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></div></div></span></div><div><span style="background-color: white; color: #19124f;"><span style="font-family: arial;">All designs are carefully created just for you! </span></span></div><div><span style="background-color: white; color: #19124f;"><span style="font-family: arial;"><br /></span></span></div><div><span style="background-color: white; color: #19124f;"><span style="font-family: arial;">Most of the designs are math related or using math concepts. </span></span></div><div><span style="background-color: white; color: #19124f;"><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhWCwoGTo6uEqPZKK9yd4SwwOwYqwxexserUQyxW4QQ0hmT633AXLuTRFVEQ_TOg8KpBgYYbCY1LeqcGKmNiwx8dhwF3jFssGffnMe6mG3bfKR4Fb6bJzb2akHDy5kCSxfTUH-mo8Tm2j9RWq_FhVa2HC3Id7QeLSJNk4gSMqVJr2onS0ovvv1FGfgRmQ/w320-h320/1.png" title="Math themed t-shirt" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh4QjTon-qQGI6c2WP6paDC1qYWMZGvJrQeFXzyFwNk3Qw-E0SErWfqJdvVuOJcpwVxjeaSc5ooFqaVhRb5cPsyWNo1mg0p0iqIQ0GSFcwUubT6rNasvK5fVSLLTX3p7Gv0LMeBWkjaZsVqNGKjZ868VdVhLYnZNkKiJasHkEB9o3aIxA1ds4pNjsFsAg/w320-h320/2.png" title="math designed hoodie" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgsLJxCdLDgOcndjzckmMJTS5yJEzf_fPu13k9y4FNVtLjd97VSVTfB2Qh6Amxl-ootcn6OiDFG0F5xis2b8oNM7I6PDd1In1No8cef3l-qMZ7fzrKl2gcopSMbwFNz-7ThInJ0n5wfwV1d2jpCcdANUbsPYv5tZtXZTkJ2l3bGeZNf8uyqFZbsg8_SUQ/w320-h320/3.png" title="math themed long sleeves" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEji3xoQE-UJm5347jwHqehtNWxKlIK22fEnSoFhNaRqIpbyyPFOxn7I0U5UYbM0Gzndd2KTeU-sAuCXajtRCeYbL_4X77_Y_DoMtYpK4OROFL9sBKhyeuoOiv_lyAPe9APY4PWZWvDCTGuVZWBzxdqagITUlIefXqs7XKipW08bYaZ8OcHCsqFtpc8TzQ/w320-h320/5.png" title="math mode on design shirt" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgReGnyrBahMEhMSlz9OqQwR1WiexsvM_-mYsE5nx0TiHl-OQyNXwYNp3FiBNy0yaFuhmBrt7M-enzPKKK8Qx0LEe55OtdxNWYivzVXJ0qxBYbfvirSHS7FmOZznuhuYY0BsaZi2YIUkyhF7pAwUKd-df9M7x55O-37lXddoL5fNwdHqRnbuExlsOXz7w/w320-h320/7.png" title="math designed long sleeves" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVKF4u8Er3ThbW0-EIk8-S06pM98E_6j2h2kJBV5PCpQ6kqGAp-1_dnl3wcYZ7IqI4xsc1rWYJkqwMg46VvVaFS0jOvmPg1cal0XpkqK-rajZ1MmTC7Ja_huYcyIzMK5NGvwMP5xIuQagaISkSxHlBXE3KA1MIwJPKwDYGP4tZMfRX__UfrADFhocxCw/w320-h320/8.png" title="math themed shirt" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhGqBcOOcMFmTYgTpBC6XJlDegKLuqGsxUwZnjlPp9pIbJ2C-HrcekoTsCCOxnge3hI8vx05rl6Mnem8s3Z0t0wOJK0Rvb873PkSZuVr6WAmQEa-hYvYqLH81ybw8eIuOI2-vXOu2hl_qJVE65JSzENWRX_Yj5iEmHXzHCquCwuzsq3Jfz2AsDx6v5TSw/w320-h320/14.png" title="math shirt" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEixWPGWOxmR3Ns5LmamzR6t-eVDCDwh-fw5p9LEgoYYiONKuIT1v8jIjYIxRNLQIpMIaLXzJRu8qf377rT4qgT8lZ-8LyhXsX9WUMvGDWrzNpPHa3CowA9t8F9QqP0o9NxJFEZ8OLfqLrbSnYzprCsj-SvYR54xHJvLNXG7H6GfUNSRvPWXz6MVCt4d8A/w320-h320/18.png" title="math themed shirts" width="320" /></a></div><span style="font-family: arial;"><br /></span></span></div><div><span style="background-color: white; color: #19124f;"><span style="font-family: arial;">Other designs includes common and famous quotes used for statement shirts and items.</span></span></div><div><span style="background-color: white; color: #19124f;"><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnHnypsymeDnIL50dX8pQMIP5RrSjP4yJLK2K6VzGdrpKD53f7JE0P6uCj8XcOC7Q8NiiKYI60ZKmbVDQ3KRgNekFmtmcNQAdajE8_W1lDUnvgG-_dXrJZb0dtxhG-WJADoi0eQOHqQfJ_eDYmsmdDrlM7qY7XzlellpZMongXSm9GsrCkijFZqRKP-w/w320-h320/4.png" title="math themed shirts" width="320" /></a></div><br /></span></div><div><span style="background-color: white; color: #19124f;"><span style="font-family: arial;">Some other designs are general themed for your daily use.</span></span></div><div><span style="background-color: white; color: #19124f;"><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfST0E6Pkmr8OIKlK_4ds5r3sNiCE67_fCThq9ELr831HJOlm1NASkzTdnjDzK2ROGXE29L-RHbYi5LRqgMlBfVjmIqFx0JuiRbZwz_OJuisFd27PryZWaBMjhBAnHXeBNyvxQpPF1jUi1qtnr7_QBPyT6ztVCVNro3wixVgnFTXi2mwhaNchaa7kzAA/w320-h320/6.png" title="math themed cap hat" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2HrE1JbowqFN5LLGNwVoYuGVRyt1JJ0W6aZO67nUVUd8ZOL7mWKa2CXI7kYASauJ456gAF0ZsfEmX6ulHpMb12QazDRBt-j-gJUTNuhDzcXovQkmkc7MPtoUgkGNBU0Y7uONT-ptj9G0NK79Owdv5iK84G8jctySxQlEGlaSiGn5Jzpyt7r4tuuwuMg/w320-h320/9.png" title="Math themed items" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEinItYtyoPdFDtZa8fBHMiMfz7BSuw7gYvmszagvqZqXsw8XkEosjMEVmB5vKJDkILnCu1704oG1vBc-3SV0-s-Ur6Zukp0HoeJzr1OC8FlDhtbZTCdfj0gHrVimOT_G0db6zP8BH6IMBmy0cE7rt6WALsRRPiCSEm__elKhEO6Mo4saZnujt_YcCnNsg/w320-h320/10.png" title="i love math backpack" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjLa7nyOiFedzePTHXZv__xDLk1xeNg4-CT4__fz13h7ygmNgUK76zNksqy5zvADs6ww8PKECZhn0yxs_9iHT5S8W7fxUja-XOyBoqwyjvayBPoQiAYTvUUgKORd1dgPGDoSIE1bclYuc1gsUbmIYw8fLUIuYRgSXwKOVfIU806e0C-ukpDM2Vv2VIW2A/w320-h320/11.png" title="math tote bag" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjpBqx-p3p3gViN9exBqqWHY_ULQDQjf9OZ0t8TEkn1ChufYwjVzb_V4VHpoYeU-pOilYVRDPcZOLnKyPfE_LZLobwxp-jZjWt2n3Oq_-VmPoJxtAxeTVmJ-QFOTqN4QocUZ86v8ONBfml7FKpSDA6eELWQWCMm_6UOeuWUmMX2dWgOm2lrwCr902at3Q/w320-h320/12.png" title="math themed apron" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6rmopESiery39ywL06YIVBWjaLJraB2MW4c3TC6WPT7zA0DgqWH2cuI_5FrKqlN-5ksklwByk8tNIbA81KCHi82J0wsw6Zv8DkKKK8aPetxYuDlvOIVqkthMebLR5CxZo6aK1mhmnXiu8ymH8iUddATkVb_rVSUaYqqoFBn1EC7c0MHS8cWCrMNcItw/w320-h320/13.png" title="math designed throw pillow" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjodXIwqh81oAp_REHTImpziXXxrLqsdAn7_PzF1TZ12wfuKtkSSVyY0_II-wgNSLjVTNA8l0SRMbFjxYM_VvF3hWR37iT9upl-X-2DFrE3PrFJLlHIZ7hq_cfOjhDkcGSCz5c-yJNKyxAGXbgpjtuwUUPbJ5_M3VKsBrgySTgH7bIIU-yNlFx5w4AKAQ/w320-h320/15.png" title="math themed phone casing" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhDx5lbuSX54eO6cDUDbx4QFaZUrOcaIki2sAR1Kq8pzk6oNscV9OH3x0aQvk5oFGa4TsqdV371Mu5bjGjKUMuLF4bE3fyIl8Zt_c-ETD9MadYoGk67BJJZx9LXZsLjPedB9og-Y5AsVeTfDc2Xrbn1APwkFdlsnQlFN1TsniSLKiq6RDd32zW_rYH6qw/w320-h320/16.png" title="math themed mug" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://math-and-infinity-designs.myspreadshop.com/" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="math gift ideas, math shirts, math apparel, maths, math theme, math designs, math, gift ideas, math store, math shop, math related designs, infinity designs, math items, math concepts" border="0" data-original-height="600" data-original-width="600" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhmghLmRpAbI6RBbiC1aAPfpZPye-UCf9CYMWDuBczQdteIWs-iSWbOKy3352ZIUcmuvdwsZU5-5hU7f8Amrhyz-rAuD4aXPADnqlF3L5yGc_8yhK574WTVB93MADGjG7Vuh1uAeoUr09JrVWfblCr6TRtzr1A26yn8zYdwlo3zQfDlgPBo-PsPF_6n0A/w320-h320/17.png" title="math themed stuff toy" width="320" /></a></div><div><span style="background-color: white; color: #19124f;"><br /></span></div><span style="font-family: arial;">Check out all other designs in our shop at <b><a href="https://math-and-infinity-designs.myspreadshop.com/" target="_blank">Math & Infinity Designs</a></b>.</span><br /><span style="font-family: arial;"><br /></span></span></div><div><span style="background-color: white; color: #19124f;"><span style="font-family: arial;"><div style="background: transparent; border: 0px; color: black; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. Write them in the comment box below.</span></span></span></div><div style="background: transparent; border: 0px; color: black; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></div><div style="background: transparent; border: 0px; color: black; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Thank you and God bless! </span></span></span></div><div style="background: transparent; border: 0px; color: black; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></div><div style="background: transparent; border: 0px; color: black; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">---------------------------------------------------------------------------------------------------------------</span></span></span></div><div style="background: transparent; border: 0px; color: black; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></div><div style="background: transparent; border: 0px; color: black; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; 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border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhX9c1jwGoAEgutg03-93oOn2aUVeaVSvFodV1EH0PtuhPVPhbznt0Bjwip1VF-V0o_wffPEm8OC6_CYAhRGLLycc9nUZWLoa_GKiC9FrDpMiUcHqpeU-RLpQ1Zg-ei43vtqSpTtwNv2KmdnB8dV6g08ewWdltgZUgnoQtZUqzKcX__BCLl0698CeLS5A/s1280/past%20paper%20items%20on%20differentiation.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, differentiation rules, derivative, tangent to a curve, normal to a curve, as level exam, pure mathematics 1, exam preparation, revisions, show that, 9709, stationary points, nature of stationary points" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhX9c1jwGoAEgutg03-93oOn2aUVeaVSvFodV1EH0PtuhPVPhbznt0Bjwip1VF-V0o_wffPEm8OC6_CYAhRGLLycc9nUZWLoa_GKiC9FrDpMiUcHqpeU-RLpQ1Zg-ei43vtqSpTtwNv2KmdnB8dV6g08ewWdltgZUgnoQtZUqzKcX__BCLl0698CeLS5A/w640-h360/past%20paper%20items%20on%20differentiation.PNG" title="past paper items on differentiation" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Pure Mathematics 1 / Differentiation</span></span></span></span><div><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b><span style="font-family: arial;">: </span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Differentiation Rules</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Equation of a Line</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Second Derivative Test</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Differentiation</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></div></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhAJ80O0KLIzZV8SzxzOeQJSTssVanwosQlTqWTlTfZ2SIHKjrpVOSGkHChNlsZ1DcCbbBhcp_amGw8gLdUOzUFPW0vVmHBC9OqpfFNNH81JFvD2CvsQk1B__qzbud1IOfAen1RFm8bn6E5lQZvjX7Od9-fLAY6DJgOPunoOZVuF7EmeugoLKfdSmHtA/s1280/equation%20of%20normal%20to%20a%20curve.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, differentiation rules, derivative, tangent to a curve, normal to a curve, as level exam, pure mathematics 1, exam preparation, revisions, show that, 9709, stationary points, nature of stationary points" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhhAJ80O0KLIzZV8SzxzOeQJSTssVanwosQlTqWTlTfZ2SIHKjrpVOSGkHChNlsZ1DcCbbBhcp_amGw8gLdUOzUFPW0vVmHBC9OqpfFNNH81JFvD2CvsQk1B__qzbud1IOfAen1RFm8bn6E5lQZvjX7Od9-fLAY6DJgOPunoOZVuF7EmeugoLKfdSmHtA/w320-h180/equation%20of%20normal%20to%20a%20curve.PNG" title="finding the equation of a normal to a curve" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjictiumSMtcBdiLcbFZIrNppXOg_dCrIx2IL5JiZyjRQMjQzC-5ODSAeR2bY4gI3pKv_wQdELpA0qewe8Vabw7nmmuZwW_tuWZ8NdDBozkK2sRzI3NoM2jp6XyKm4JyQBPzuaUPm9shXSu2F1aSR44Hs1UvvAjg6RigERjjdB34iCgFuKJ2MUbM5LyyQ/s1280/maximum%20and%20minimum%20points.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, differentiation rules, derivative, tangent to a curve, normal to a curve, as level exam, pure mathematics 1, exam preparation, revisions, show that, 9709, stationary points, nature of stationary points" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjictiumSMtcBdiLcbFZIrNppXOg_dCrIx2IL5JiZyjRQMjQzC-5ODSAeR2bY4gI3pKv_wQdELpA0qewe8Vabw7nmmuZwW_tuWZ8NdDBozkK2sRzI3NoM2jp6XyKm4JyQBPzuaUPm9shXSu2F1aSR44Hs1UvvAjg6RigERjjdB34iCgFuKJ2MUbM5LyyQ/w320-h180/maximum%20and%20minimum%20points.PNG" title="finding maximum and minimun points of a curve" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzrMVcXJgiAaM-2UPle0xUzoXeuWqbwqQ4oVc38s6crAHQm0zJwb6RFsEhW9kZemUiBB5S3AMq93qQUmeSITqbfNn_cyUB2OryHNdDey_bs0Z_9nixNOXV67CqAGrIQk-g3TUrlQeMb5R4ySg5IaHJ13ZDoBlHzLYHulbQuHhwuyrvGr5V-JNRSAyfOA/s1280/Stationary%20points%20of%20a%20curve.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="differentiation, differentiation rules, derivative, tangent to a curve, normal to a curve, as level exam, pure mathematics 1, exam preparation, revisions, show that, 9709, stationary points, nature of stationary points" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhzrMVcXJgiAaM-2UPle0xUzoXeuWqbwqQ4oVc38s6crAHQm0zJwb6RFsEhW9kZemUiBB5S3AMq93qQUmeSITqbfNn_cyUB2OryHNdDey_bs0Z_9nixNOXV67CqAGrIQk-g3TUrlQeMb5R4ySg5IaHJ13ZDoBlHzLYHulbQuHhwuyrvGr5V-JNRSAyfOA/w320-h180/Stationary%20points%20of%20a%20curve.PNG" title="finding the stationary points of a curve and its nature" width="320" /></a></div><br /></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1OFTeFxvrNY0L-KtbFqqTTYwMkottJ1xh/view?usp=sharing" imageanchor="1" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="differentiation, differentiation rules, derivative, tangent to a curve, normal to a curve, as level exam, pure mathematics 1, exam preparation, revisions, show that, 9709, stationary points, nature of stationary points" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdQxTo-rRZnmpd-2FfoUTg75WNmHS7QGhu7F8jIgZSjZpnMIQwMgcCcJzcm6loxPWsOc-PklqzPaMMATPgz9usjV42TCsGV_-XvybuVR-YBHiicuWmTBz5yBY_L9dE14JuKTSDVRtWMpDjJN4vMeFNQJWZZjHS8jN2AjjG9jeIOVzIINuKiL5bbWVnhw/w320-h180/past%20paper%20items%20on%20differentiation.PNG" title="practice past paper items on differentiation" width="320" /></a></div><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. Write them in the comment box below. 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border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtDOACsq5b3YKYJxn3iq-Bs-zkx1HU96jk2zxUbXDPLIfzVYoh_Pg9mlpimGJMXtCW8VuZmt-O_5gFTB1tjIlGQ6LkJY1AzaXRdxJNkJcMBwOe2RHi7VsbzzmydJKqFPV7zhUeFXr-7It6_y_xlMTTPz_h4yAePctcn5Mv5Kywt2eD8pSRxbz22-A4lg/s1280/Past%20paper%20items%20on%20proving%20trigonometric%20identities.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="trigonometry, trigonometric identities, proving trigonometric identities, as level exam, pure mathematics 1, exam preparation, revisions, proving identities, convert trigonometric equations, show that, 9709" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjtDOACsq5b3YKYJxn3iq-Bs-zkx1HU96jk2zxUbXDPLIfzVYoh_Pg9mlpimGJMXtCW8VuZmt-O_5gFTB1tjIlGQ6LkJY1AzaXRdxJNkJcMBwOe2RHi7VsbzzmydJKqFPV7zhUeFXr-7It6_y_xlMTTPz_h4yAePctcn5Mv5Kywt2eD8pSRxbz22-A4lg/w640-h360/Past%20paper%20items%20on%20proving%20trigonometric%20identities.PNG" title="past paper items on proving trigonometric identities" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Pure Mathematics 1 / Trigonometry</span></span></span></span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b>: </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Trigonometric Ratios</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Right Triangles</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Trigonometric Identities</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Proving Trigonometric Identities</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8UKJ33GAM90upru6OwbppVvueATujiMl-8f0YBKf7y6wOF4XWxAjCGiwF4cnFAefckc-mMSN-3nU5yOcxWZeJpBTTZqHADdko7lpOLgV7FCI3xSNwHHHWccNzHd5WXjfjTiYlcjRKB4QWceQgvE-5h9dFgwnMgY2PLWYYuwOju_nmLmPTNximfxgrbg/s1280/converting%20a%20trigonometric%20equation%20to%20a%20specific%20format.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="trigonometry, trigonometric identities, proving trigonometric identities, as level exam, pure mathematics 1, exam preparation, revisions, proving identities, convert trigonometric equations, show that, 9709" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8UKJ33GAM90upru6OwbppVvueATujiMl-8f0YBKf7y6wOF4XWxAjCGiwF4cnFAefckc-mMSN-3nU5yOcxWZeJpBTTZqHADdko7lpOLgV7FCI3xSNwHHHWccNzHd5WXjfjTiYlcjRKB4QWceQgvE-5h9dFgwnMgY2PLWYYuwOju_nmLmPTNximfxgrbg/w320-h180/converting%20a%20trigonometric%20equation%20to%20a%20specific%20format.PNG" title="converting trigonometric equations and identities" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZpHuc_M4x9amXU63BpwO2bZLtc3VhX2sPnRcvQIk2QNr-OsyZ6DlXKIxLnCGiZmkHm68ruEXqQ7bscVRpRlkVpREOiM4wXak6urHpJNLffLpAhSMwKLBOPBPrXW5yBJ54UGpcKcWJiGKRw_3a_1nFQAcee9pbGnIkelVALnl8tSpcd9zkvFRATiODuQ/s1280/proving%20fractional%20trigonometric%20identities.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="trigonometry, trigonometric identities, proving trigonometric identities, as level exam, pure mathematics 1, exam preparation, revisions, proving identities, convert trigonometric equations, show that, 9709" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZpHuc_M4x9amXU63BpwO2bZLtc3VhX2sPnRcvQIk2QNr-OsyZ6DlXKIxLnCGiZmkHm68ruEXqQ7bscVRpRlkVpREOiM4wXak6urHpJNLffLpAhSMwKLBOPBPrXW5yBJ54UGpcKcWJiGKRw_3a_1nFQAcee9pbGnIkelVALnl8tSpcd9zkvFRATiODuQ/w320-h180/proving%20fractional%20trigonometric%20identities.PNG" title="proving fractional trigonometric identities" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXejY9q_LcaEmwD2HlOPosc6xSBuJuJ88V2BwSTzf_c3UH9v3eWBi7jqi1CE0NHGamfT23j40lEl6WK2TOMRofcarvo8qsW7QxXIRziAOF_QIBAX0FYhN2ViWbW7tBqRa88Zx89CuKiLnhihD74T9qaOWh2387ZbFLWISrZJLLimnf6nwiXtMaaZZX6A/s1280/proving%20complex%20trigonometric%20identities.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="trigonometry, trigonometric identities, proving trigonometric identities, as level exam, pure mathematics 1, exam preparation, revisions, proving identities, convert trigonometric equations, show that, 9709" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXejY9q_LcaEmwD2HlOPosc6xSBuJuJ88V2BwSTzf_c3UH9v3eWBi7jqi1CE0NHGamfT23j40lEl6WK2TOMRofcarvo8qsW7QxXIRziAOF_QIBAX0FYhN2ViWbW7tBqRa88Zx89CuKiLnhihD74T9qaOWh2387ZbFLWISrZJLLimnf6nwiXtMaaZZX6A/w320-h180/proving%20complex%20trigonometric%20identities.PNG" title="proving complex trigonometric identities and equations" width="320" /></a></div><br /></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1EVv0yV8I2YHFqO0R83tJui5RevamgiCw/view?usp=sharing" imageanchor="1" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="trigonometry, trigonometric identities, proving trigonometric identities, as level exam, pure mathematics 1, exam preparation, revisions, proving identities, convert trigonometric equations, show that, 9709" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgM84EVqdYmuqgk4Mb_6YNeFTXMPPRbW_z7pL6SYWsWtAkM_LyvH0gSkvcVITiolaqh6zIEW-AJOx541TjXPOWTMeyc47_f7A7sTZ2HBoXEDMV3vUVVJOLI8pFLfRi89QUH9ZkIQS9XrPb0HNQ7uLF-9Iq0Aat-o-dJYxrh4evZTXBvQ9RwL0uQXLyaKg/w320-h180/Past%20paper%20items%20on%20proving%20trigonometric%20identities.PNG" title="past paper items collection on proving trigonometric identities" width="320" /></a></div></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; 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border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEha7W4nPrsqqg6M-VDCxDszIraKD4Y1esKlFWBL-3rzyiGVoDY71UlOvK7-nPPDqKJIqq1T4uukz4m96_HlA12Jiy05oX9mMuYqqlzKGZx1_BvWPfMPx_bh9_lFVDPukwYEQv2ghr7KiKW7RwFWnHOQjhXCXjafZsmWOjX6FEGLvUI92w-c6VIENHMC0w/s1280/past%20paper%20items%20on%20trigonometry.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="trigonometry, past paper items, CIE maths, ciemathsolutions, AS level maths, 9709, pure mathematics 1, trigonometric identities, trigonometric equations, right triangles, trigonometric ratios, reciprocal trigonometric ratios, exam preparations, as level revisions, CIE past papers" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEha7W4nPrsqqg6M-VDCxDszIraKD4Y1esKlFWBL-3rzyiGVoDY71UlOvK7-nPPDqKJIqq1T4uukz4m96_HlA12Jiy05oX9mMuYqqlzKGZx1_BvWPfMPx_bh9_lFVDPukwYEQv2ghr7KiKW7RwFWnHOQjhXCXjafZsmWOjX6FEGLvUI92w-c6VIENHMC0w/w640-h360/past%20paper%20items%20on%20trigonometry.PNG" title="CIE exam past paper items on trigonometry" width="640" /></a></div><br /><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Pure Mathematics 1 / Trigonometry</span></span></span></span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b>: </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Trigonometric Ratios</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Right Triangles</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Trigonometric Identities</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Trigonometric Equations</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Trigonometric Graphs</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">practice exercises on </a>Trigonometry</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO4qGU5oVSMvofNs2hM2-YTftGb3wW5qRxbb4CxFZjkK9Uwg4D-dPZcn2BtT76R0ABBSmcW8NQmPVlz8KsPOHBdqS8wJZbWP1iSHBrkQawqnbQaDi9VQ1mB_11WqfpxR89e5dIu7U0Tili3zUmNqDjFENUQ4lhI4Tzhk1Wtw-0kYPpo3wCmDUXIxoaUA/s1280/problems%20involving%20right%20triangles%20and%20trigonometric%20ratios.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="trigonometry, past paper items, CIE maths, ciemathsolutions, AS level maths, 9709, pure mathematics 1, trigonometric identities, trigonometric equations, right triangles, trigonometric ratios, reciprocal trigonometric ratios, exam preparations, as level revisions, CIE past papers" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgO4qGU5oVSMvofNs2hM2-YTftGb3wW5qRxbb4CxFZjkK9Uwg4D-dPZcn2BtT76R0ABBSmcW8NQmPVlz8KsPOHBdqS8wJZbWP1iSHBrkQawqnbQaDi9VQ1mB_11WqfpxR89e5dIu7U0Tili3zUmNqDjFENUQ4lhI4Tzhk1Wtw-0kYPpo3wCmDUXIxoaUA/w320-h180/problems%20involving%20right%20triangles%20and%20trigonometric%20ratios.PNG" title="solving right triangles using trigonometric ratios" width="320" /></a></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEip-NDhlrDadilz1rkg0rpMNNVOeFwpLnmeL7mjzNk6tq_koEpEyD9SQjY_9kHVC95RSJ7SsCj0crQHGru7h55lfJUku3rlCqr-5pLM-mmwjPRp34odl8yKEvYfgkM51w7JhoVT9CY0y_l5gtZb_ROL9Btx63Vfme1uUL-fQgy19ZeqVkId-tztwF5G9g/s1280/Problems%20involving%20trigonometric%20ratios.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="trigonometry, past paper items, CIE maths, ciemathsolutions, AS level maths, 9709, pure mathematics 1, trigonometric identities, trigonometric equations, right triangles, trigonometric ratios, reciprocal trigonometric ratios, exam preparations, as level revisions, CIE past papers" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEip-NDhlrDadilz1rkg0rpMNNVOeFwpLnmeL7mjzNk6tq_koEpEyD9SQjY_9kHVC95RSJ7SsCj0crQHGru7h55lfJUku3rlCqr-5pLM-mmwjPRp34odl8yKEvYfgkM51w7JhoVT9CY0y_l5gtZb_ROL9Btx63Vfme1uUL-fQgy19ZeqVkId-tztwF5G9g/w320-h180/Problems%20involving%20trigonometric%20ratios.PNG" title="problem solving involving right triangles and trigonometric ratios" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhm3bXPGpuGKtap4VzcBzTQluXT6HOgoN4ZOV0UX4o7ERl09krOId35owblBOeeOV1xVePo4-PFwqM5WAYELugMtClI0pmzMhSXBRwn7K8LBgKe8O_ptsJw1HPj9yHofoczTDY9EEzDLo8pxx-mlzlD3GjWxVLB4s6JOhXgG16QgxkgeXXK8WH2rAmK3Q/s1280/items%20involving%20proving%20trigonometric%20identities.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="trigonometry, past paper items, CIE maths, ciemathsolutions, AS level maths, 9709, pure mathematics 1, trigonometric identities, trigonometric equations, right triangles, trigonometric ratios, reciprocal trigonometric ratios, exam preparations, as level revisions, CIE past papers" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhm3bXPGpuGKtap4VzcBzTQluXT6HOgoN4ZOV0UX4o7ERl09krOId35owblBOeeOV1xVePo4-PFwqM5WAYELugMtClI0pmzMhSXBRwn7K8LBgKe8O_ptsJw1HPj9yHofoczTDY9EEzDLo8pxx-mlzlD3GjWxVLB4s6JOhXgG16QgxkgeXXK8WH2rAmK3Q/w320-h180/items%20involving%20proving%20trigonometric%20identities.PNG" title="past paper items involving proving trigonometric identities" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_Vvmx9CKn6X3H9M_js_sh-0eNblT_CkDaZ-6fHakjqrL0v1IKF1tLWI26oBrTttvyZLPJoVsNcA1ehDFi3_YfCieI3dXNTwEWNhi0nOZPbo87VSFTuGBjdXW3FI7UA9bMIlF56HevPFhSbKL-Pjbgo56Y4jzEuPXZ6dBN53ayn3glX0TXjnFvHOWvdg/s1280/items%20involving%20solving%20trigonometric%20equations.PNG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="trigonometry, past paper items, CIE maths, ciemathsolutions, AS level maths, 9709, pure mathematics 1, trigonometric identities, trigonometric equations, right triangles, trigonometric ratios, reciprocal trigonometric ratios, exam preparations, as level revisions, CIE past papers" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj_Vvmx9CKn6X3H9M_js_sh-0eNblT_CkDaZ-6fHakjqrL0v1IKF1tLWI26oBrTttvyZLPJoVsNcA1ehDFi3_YfCieI3dXNTwEWNhi0nOZPbo87VSFTuGBjdXW3FI7UA9bMIlF56HevPFhSbKL-Pjbgo56Y4jzEuPXZ6dBN53ayn3glX0TXjnFvHOWvdg/w320-h180/items%20involving%20solving%20trigonometric%20equations.PNG" title="past paper items involving solving trigonometric equations" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1uAumuYGGad8mlE6hunEv2bTgm3AWUDJb/view?usp=sharing" imageanchor="1" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="trigonometry, past paper items, CIE maths, ciemathsolutions, AS level maths, 9709, pure mathematics 1, trigonometric identities, trigonometric equations, right triangles, trigonometric ratios, reciprocal trigonometric ratios, exam preparations, as level revisions, CIE past papers" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdry-6wagSW9jBxTNPzzyUyEfh8cu2o-tx28G31VQlnuViKlHr_6tWuCam5HGVGuHc8dpNUrCOUg8LC3G0rnBbXnf7E5kSx6fQrp8M1FgCqwAbKpnwWsTOa5PZz2nsxXsCGkBVYIM8krnAbPU_WqVGxCdTy0m5WdOgwaXvH4_BQngdu5setTejoDqtjw/w320-h180/past%20paper%20items%20on%20trigonometry.PNG" title="pure mathematics 1 past paper items on trigonometry" width="320" /></a></div><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. Write them in the comment box below. Thank you and God bless! </span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">---------------------------------------------------------------------------------------------------------------</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; 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border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuOCBTYGkbgFaYoH3jqFEzAAklN53xCaVjs5ULK1yji-hZN0tlrtz0QPsKHo4ZMvsLE9w6nSNBHMs1UHGe2UGVzOYm-wnwM0C-08CkzKbEidxdioZE5jmRSGK0OAi6ORToWqFCwpQcvPa_uE4_kJCnhu6Uh4yIR4eLmrfSGmt18LOz2RVSUaFsXLN9QQ/s1280/Past%20Paper%20Items%20on%20Binomial%20Expansion%20Copy.png" style="margin-left: 1em; margin-right: 1em;"><img alt="pure mathematics, binomial expansion, binomial theorem, expansion, series, fractional terms, product of binomials, as revisions, as level mathematics, 9709, Camdridge maths, cie math solutions, past paper items, past paper revisions, exam preparations" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhuOCBTYGkbgFaYoH3jqFEzAAklN53xCaVjs5ULK1yji-hZN0tlrtz0QPsKHo4ZMvsLE9w6nSNBHMs1UHGe2UGVzOYm-wnwM0C-08CkzKbEidxdioZE5jmRSGK0OAi6ORToWqFCwpQcvPa_uE4_kJCnhu6Uh4yIR4eLmrfSGmt18LOz2RVSUaFsXLN9QQ/w640-h360/Past%20Paper%20Items%20on%20Binomial%20Expansion%20Copy.png" title="past paper items on binomial expansion" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Pure Mathematics 1 / Series</span></span></span></span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b>: </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > Binomial Expansion Theorem</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Laws of Indices</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > Product of Algebraic Expression</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" target="_blank">practice exercises on Binomial Expansion</a></span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXgScSM6-FItYX6cfMfKyxPcIeHL37VZPM0JLCPF9WGUekENCfJhS9ESlYanpidSb-D8cL691J_fo2hxIxCBXuSxFy13jDXpyWSHkq8nhdHILuhCfcw5z72qbSrXEluabT0h7fTDZEEB7apos-ByGjEVHQ_jA4qwZR5bNod5ka_mTlhQsRK6y0Gypnmw/s1280/finding%20a%20term%20independent%20of%20x%20using%20binomial%20expansion.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="pure mathematics, binomial expansion, binomial theorem, expansion, series, fractional terms, product of binomials, as revisions, as level mathematics, 9709, Camdridge maths, cie math solutions, past paper items, past paper revisions, exam preparations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiXgScSM6-FItYX6cfMfKyxPcIeHL37VZPM0JLCPF9WGUekENCfJhS9ESlYanpidSb-D8cL691J_fo2hxIxCBXuSxFy13jDXpyWSHkq8nhdHILuhCfcw5z72qbSrXEluabT0h7fTDZEEB7apos-ByGjEVHQ_jA4qwZR5bNod5ka_mTlhQsRK6y0Gypnmw/w320-h180/finding%20a%20term%20independent%20of%20x%20using%20binomial%20expansion.PNG" title="binomial expansion with fractional terms" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHRQbstsXrRFMcGzv-caVYZ4-V_1FChGnwLGUaX_c9BmSK0OwFjcNXkcmpGiOkBxXLvyZSwadaydCFuPGYf2dVo5_dx56m3xlB9x9OADvLVV1K-MgzelIcLgnYarVYOHOJaSkC7I_EpjBgFpX9HhO9epaTze0-z-KBFDWCMUo-Yoo2xWdTNdnOM8iHFg/s1280/Expanding%20binomials%20with%20fractional%20terms.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="pure mathematics, binomial expansion, binomial theorem, expansion, series, fractional terms, product of binomials, as revisions, as level mathematics, 9709, Camdridge maths, cie math solutions, past paper items, past paper revisions, exam preparations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgHRQbstsXrRFMcGzv-caVYZ4-V_1FChGnwLGUaX_c9BmSK0OwFjcNXkcmpGiOkBxXLvyZSwadaydCFuPGYf2dVo5_dx56m3xlB9x9OADvLVV1K-MgzelIcLgnYarVYOHOJaSkC7I_EpjBgFpX9HhO9epaTze0-z-KBFDWCMUo-Yoo2xWdTNdnOM8iHFg/w320-h180/Expanding%20binomials%20with%20fractional%20terms.PNG" title="multiplying binomials using binomial expansion" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJtyJKKymSrtYdqsn_N6Vk15e44nc9CaoPrE9DKhVQqENgDxDbfxrGt78b49n-3D2mRJ0QByfRLFdxngjvMIAdZQ3ypXBuuXxhBdzDAzOhtOa--1y_sKL_rgb0MVBUxJ0pK830JuQD4pBKgZpQfKdJ2HBS0M3AN9O-42NIaiQtAarlckF2JHcDusREfQ/s1280/Finding%20missing%20terms%20and%20coefficients%20in%20a%20binomial%20expansion.PNG" style="margin-left: 1em; margin-right: 1em;"><img alt="pure mathematics, binomial expansion, binomial theorem, expansion, series, fractional terms, product of binomials, as revisions, as level mathematics, 9709, Camdridge maths, cie math solutions, past paper items, past paper revisions, exam preparations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgJtyJKKymSrtYdqsn_N6Vk15e44nc9CaoPrE9DKhVQqENgDxDbfxrGt78b49n-3D2mRJ0QByfRLFdxngjvMIAdZQ3ypXBuuXxhBdzDAzOhtOa--1y_sKL_rgb0MVBUxJ0pK830JuQD4pBKgZpQfKdJ2HBS0M3AN9O-42NIaiQtAarlckF2JHcDusREfQ/w320-h180/Finding%20missing%20terms%20and%20coefficients%20in%20a%20binomial%20expansion.PNG" title="finding missing terms and coefficients using binomial expansion" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/14MVXX7j3BWhJKM8no-01ZxWw7F1ZMJCx/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="pure mathematics, binomial expansion, binomial theorem, expansion, series, fractional terms, product of binomials, as revisions, as level mathematics, 9709, Camdridge maths, cie math solutions, past paper items, past paper revisions, exam preparations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjDV_iNzDfuKVjR4PBup0hGvXWBAwkunY7sefbWtieqgWILZPNEXd1MsAXqiufS5x6fSLUWAkrElUA0B_htmz7Yp5HaTdoNm6Jyy2rGj0wzMovR6q03Yo6EjD22kl9wfOs5oX1Zg_gQIURQiyh8E0bLazBhEeTGtAxHiGbPUdkqXyYMDCXkzz98QDCfDQ/w320-h180/Past%20Paper%20Items%20on%20Binomial%20Expansion%20Copy.png" title="past paper items on binomial expansion and series" width="320" /></a></div><br /><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> here (</span><b style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. Write them in the comment box below. Thank you and God bless! </span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">---------------------------------------------------------------------------------------------------------------</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; 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margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;">www.learnatmathematicsrealm.blogspot.com</a> </span></i></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; 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border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">www.ciemathsolutions.blogspot.com</span></i></span></span></a></span></div></span></span></span></div></span></span></span></span></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com1tag:blogger.com,1999:blog-7452953280337461186.post-65860892817152930822022-06-07T15:18:00.008+07:002023-11-25T14:42:48.047+07:00Cambridge AS Level Mathematics 9709 (Pure Mathematics 1) Past Paper Items in Probability (Part 1) with FREE Practice Exam Style Paper | Revision Exercise in Probability & Statistics 1 (9709)<div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhffyifqXM-eNsD5gQemGgm70ecw4oGeSAaeLPrBn8NkCXj7kxW99IlyUU47BhZ3XCmW0w6KaJtLw8QZ5fHai8ROk4ZRiRK3uuls46k7oYAcNp2-e0F8QwnqDLR96HNBXd0xJq-9C-Pc1AkekKnZUBQ4nM5o0ws3kZ9Vi4rGkhtKxJdgwGSedeAQTZHew/s1012/Past%20Paper%20Items%20on%20Probability%20(Item%201).png" style="margin-left: 1em; margin-right: 1em;"><img alt="AS level, statistics, probability, past papers, as level examination, mathematics, probability exam items, probability past papers" border="0" data-original-height="717" data-original-width="1012" height="454" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhffyifqXM-eNsD5gQemGgm70ecw4oGeSAaeLPrBn8NkCXj7kxW99IlyUU47BhZ3XCmW0w6KaJtLw8QZ5fHai8ROk4ZRiRK3uuls46k7oYAcNp2-e0F8QwnqDLR96HNBXd0xJq-9C-Pc1AkekKnZUBQ4nM5o0ws3kZ9Vi4rGkhtKxJdgwGSedeAQTZHew/w640-h454/Past%20Paper%20Items%20on%20Probability%20(Item%201).png" title="A collection of AS Level Mathematics Statistics 1 (9709) past paper items on probability" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability and Statistics 1 / Probability</span></span></span></span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b>: </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > <a href="https://youtu.be/Id0xVflMPso" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">experiment, sample space and events</a></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: large; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">> what is probability & probability rules</span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > dependent and independent events</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > mutually exclusive and non-mutually exclusive events</span><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > conditional probability</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > tree diagrams</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">practice paper on Probability</span></b>. The file contains ten (10) items with answer spaces provided similar to the actual AS Level examination paper. </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">
<iframe allow="autoplay" height="480" src="https://drive.google.com/file/d/1TaZnlNfXXEclJxjMaKy0eq5RZ686nE5X/preview?usp=sharing" width="640"></iframe>
</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Measures of Central Location and Variation [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2019/12/revision-exercise-on-representations-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="960" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5xfcbAzD09Wc9Bh07iKf7g7eFuTF3fKqEUtXFkYkrBfrW9Av2PoX-jgmW_EI5zu4JmImfkqd4dTkMsIhksOMk3C6k-D62Zvbeqs9Ttu0WLKu1ef7tXmLaiHwDPrlrR5mL3XnF7iL5byO3/w320-h240/Mean+and+Variance.jpg" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="formulas for measures of central tendency and variation" width="320" /></a></div></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Measures of Central Location and Variation [Part 2]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEj-SYkQL5VpMWwXx2tYMLPdIvBtnbf27b2c4Fc8iYE5s1F2WIs-hOwSK1_U77ttwBeY7KmLqxPcDP22lyKNred3DiZIRt78aGDdOyW1BVIQAGkC0I5__InA17m5wWE5OhQ84UitqqKu_KZ-Mmhz6cXTFWlSOa-aYsFr2ZRXh_fjaE4SlEH7GLBEepYccg=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="AS and A level statistics1 review items on measures of central tendency and variation" width="320" /></a></div><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Some other collection of past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; clear: right; color: #4f98d3; float: right; margin: 0px 0px 1em 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEiaN5Pq_5OtBjkaNhnvJvhWYkCRcCSqyyzaZ4cq_xUqR3lRDL9AaMYzoMU6DJ9mu6h4dArc9VRb-ra8P5nX3ywsh-tE7iA5l0SjWt6BIlKmALiPbBcd7oavwqcH__TALm-zA_dan43EBVdEOv9YhKV_6ygPWxHljKipzmjRIZsxL0Gqt11l7bRiUISlJQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on mean, median, mode, standard deviation and quartiles" width="320" /></a></div><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; clear: left; color: #4f98d3; float: left; margin: 0px 1em 1em 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhbaYdo9RfRL6uvdul2k4ShG4BR9qcJnSWfvOWkpyhfQIlg4wy6V_TjV4FjEExl4ly1Z99VFKgdr8Q6823jyJ-d1aR4SvK4YfAdjdziC95GnyXKj2i0tqqfGUze1d5r-7vU13Xzc957tDml75yi-pl0xXgv2c5_jYNGpJprIjZClzsiJh3sgZQRZ__owA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. Write them in the comment box below. Thank you and God bless! </span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">---------------------------------------------------------------------------------------------------------------</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">T</span></span></span><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">hank you for your continued support! </span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; 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border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">www.ciemathsolutions.blogspot.com</span></span></a></span></div></span></span></span></span></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com0tag:blogger.com,1999:blog-7452953280337461186.post-61929878486313981962022-02-27T22:59:00.006+07:002023-11-25T14:44:45.204+07:00Cambridge AS Level Mathematics 9709 (Probability & Statistics 1) Past Paper Items on Discrete Random Variables | Revision Exercise in Probability & Statistics 1 (9709)<div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEj4sjxJLht35proCzFhiDUkt1DwBjRRvWsx5s94k0b5XB7G0bHQaNEJzgnRkIMyG05dMkO0kzjLTwMBxjlBpY42Qiu7lX38L179mg5Fyga4GFqZ3AcXU_kAq06OpVMd-WUzuP4pbCbCNAdyAu8FJ4TNHIyboGvaMeUQHtIxLLrTdf_q1W4bO2wSTSzGHw=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="probability, discrete random variables, revisions, past paper items, CIE, ciemathsolutions, AS level mathematics, Probability and Statistics 1, random variable, permutation and combination, probability concepts, probability distribution table, notations, mean, expectation, variance, sum of probabilities, exhaustuve events" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/a/AVvXsEj4sjxJLht35proCzFhiDUkt1DwBjRRvWsx5s94k0b5XB7G0bHQaNEJzgnRkIMyG05dMkO0kzjLTwMBxjlBpY42Qiu7lX38L179mg5Fyga4GFqZ3AcXU_kAq06OpVMd-WUzuP4pbCbCNAdyAu8FJ4TNHIyboGvaMeUQHtIxLLrTdf_q1W4bO2wSTSzGHw=w640-h360" title="Revision exercise on past paper items in discrete random variables" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability and Statistics 1 / Discrete Random Variables</span></span></span></span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b>: </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > discrete versus continuous random variables</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: large; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">> </span></span><span style="font-family: arial;"><span style="font-size: small;">notations on discrete random variables</span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > probability distribution table</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > permutation and combination</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > probability concepts</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">practice exercises on Discrete Random Variables</span></b>. The file contains ten (10) items. It contain items with varying difficulty:</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgZkbp81sUBFqGsblIwPzKde3fpPWgbZjgTiSP6Ye9e75tMS1vVTZ-SgyICpYYe2szaJTLWNqO0Z-W0YddcIjJMM8GM-1gu1CcuxasAmh6cz1V0sJ9E5JGxywUiS6AX6yDaP3sSITqtKYTr17CKGZncO7Fih6aIwCzDU9UdzyXnr3WW_2klO_9ET97LMA=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="probability, discrete random variables, revisions, past paper items, CIE, ciemathsolutions, AS level mathematics, Probability and Statistics 1, random variable, permutation and combination, probability concepts, probability distribution table, notations, mean, expectation, variance, sum of probabilities, exhaustuve events" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgZkbp81sUBFqGsblIwPzKde3fpPWgbZjgTiSP6Ye9e75tMS1vVTZ-SgyICpYYe2szaJTLWNqO0Z-W0YddcIjJMM8GM-1gu1CcuxasAmh6cz1V0sJ9E5JGxywUiS6AX6yDaP3sSITqtKYTr17CKGZncO7Fih6aIwCzDU9UdzyXnr3WW_2klO_9ET97LMA=w320-h180" title="probability of discrete random variable involving a pen" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhnxa3MdEgzXunkUwqNbOloGS8BzhYQQzjq1TcsL717wRgUZHeHK8RwQ_DeQzCUib29TywNklwGgDxjDx3-MjBG61M5ieeCdoNqFPO5Wiyc1FB9vdJfzY3eNNJ0V7X_OQWCkEoT9nbv4xYi1ehinp3Lyu5g5V7PTRGu_wVoZ7ePJ9ujrSPl6XiPBSlw7w=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="probability, discrete random variables, revisions, past paper items, CIE, ciemathsolutions, AS level mathematics, Probability and Statistics 1, random variable, permutation and combination, probability concepts, probability distribution table, notations, mean, expectation, variance, sum of probabilities, exhaustuve events" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhnxa3MdEgzXunkUwqNbOloGS8BzhYQQzjq1TcsL717wRgUZHeHK8RwQ_DeQzCUib29TywNklwGgDxjDx3-MjBG61M5ieeCdoNqFPO5Wiyc1FB9vdJfzY3eNNJ0V7X_OQWCkEoT9nbv4xYi1ehinp3Lyu5g5V7PTRGu_wVoZ7ePJ9ujrSPl6XiPBSlw7w=w320-h180" title="finding probability for discrete random variables with the distribution table" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh5s1fMwpbUB-22JVoDqrdH-pKJtKY4bIp6_229DUCSMM0FQ9zedNLyvzlufawRHDjTuUyHDRZlsWmT8ZNK1BT9DUjDDrsPlJ5JoYJ6SzWrWHENsQdERb6IjKn2wvYsq3pqMaJt6kcyjVw3iydGGtyjJCuslCrY1i6N_jd--DcADa9yn94iNYoHmsNN5A=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="probability, discrete random variables, revisions, past paper items, CIE, ciemathsolutions, AS level mathematics, Probability and Statistics 1, random variable, permutation and combination, probability concepts, probability distribution table, notations, mean, expectation, variance, sum of probabilities, exhaustuve events" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh5s1fMwpbUB-22JVoDqrdH-pKJtKY4bIp6_229DUCSMM0FQ9zedNLyvzlufawRHDjTuUyHDRZlsWmT8ZNK1BT9DUjDDrsPlJ5JoYJ6SzWrWHENsQdERb6IjKn2wvYsq3pqMaJt6kcyjVw3iydGGtyjJCuslCrY1i6N_jd--DcADa9yn94iNYoHmsNN5A=w320-h180" title="probability of discrete random variables involving balls in a box" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-size: small;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1KWO647tXY-yJXONYbuBQVL3oEuCm3amH/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="probability, discrete random variables, revisions, past paper items, CIE, ciemathsolutions, AS level mathematics, Probability and Statistics 1, random variable, permutation and combination, probability concepts, probability distribution table, notations, mean, expectation, variance, sum of probabilities, exhaustuve events" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEiBQ2LPgTGhGQXkhoUjheTsoW1MAFYGeEYsHDxZaqwABOHBYXe4pQVAJGAeEUCQjdnp66CPV2Wci7wT_diKplbou0yppm6XHkLBhGbM0eYc8yI_4i3Hv-Cjk-F1KRzX0wi_jcB9W4vXyen7fuL3fjFjgYGEitlbnkr-oFoZXEdUyAmhkC-H8PlWP8z7YA=w320-h180" title="CIE probability past paper items on discrete random variables" width="320" /></a></div><br /></span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 2]</b></span><span style="font-family: arial; font-size: medium;"> here (</span><b style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b><span style="font-family: arial; font-size: medium;">):</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability-part-2.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhoSNxDfZz85PqdBJWpZT_Mec1bWb1Qc0Qs1UA2mFv7E2V0vXejCxO3JUGSOWfF7MVzWH0Ecb7j9vpPLGofADSnhBMePeJCQ3j8G4zty7TeFPx5FVLHi7lDal6jsBirLcRuvk_LnQRVXZfn6u2dfMh8S2Cy5mZgGwLg0-I-CSMHVCZAs1vfFeEjBTG3xA=w320-h180" title="CIE statistics 1 past paper items on probability concepts" width="320" /></a></div><span style="font-family: arial; font-size: medium;"><br /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. Write them in the comment box below. Thank you and God bless! </span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">---------------------------------------------------------------------------------------------------------------</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; 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border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEh2I__Ao4DMEL9VqWJ6IIX8uIMCYZhvH2g4oC_zSNCQbktdOuUUZSnQ1b2H6MftaKjVeJ6esqlcL1IgTcin9SIATDQ0fhIw8bB1bemrnZhYInG6JZbvV2d2KnevDiNEEcq1V_kdv4qe5XYz9RxnA5EVCPg4uyKTf9EqmJy1ptl8xG3I8FPEqe_JcNhAig=s1280" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="past paper items, permutation, combination, arrangement, selection, grouping, order, number digit arrangement, fundamental principle of counting, letter arrangement, people arrangement, object selection, indistinguishable objects, identical objects, ways, selections, team, committee" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/a/AVvXsEh2I__Ao4DMEL9VqWJ6IIX8uIMCYZhvH2g4oC_zSNCQbktdOuUUZSnQ1b2H6MftaKjVeJ6esqlcL1IgTcin9SIATDQ0fhIw8bB1bemrnZhYInG6JZbvV2d2KnevDiNEEcq1V_kdv4qe5XYz9RxnA5EVCPg4uyKTf9EqmJy1ptl8xG3I8FPEqe_JcNhAig=w640-h360" title="AS level maths past paper items on permutation and combination" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability and Statistics 1 / Permutation and Combination</span></span></span></span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b>: </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > fundamental principle of counting</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: large; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">> </span><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">arrangement of indistinguishable objects</span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > permutations</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > combinations</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > probability concepts</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">practice exercises on Permutation and Combination</span></b>. The file contains ten (10) items. It contains:</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><ul style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving number digit arrangements</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiLFHwttUy8s9WeiNyHAydVIgVa2Sz9NZWYs3cWFM7RtLchrS_4pe2s0Jn6FFWVsMIaOr_Am-50CN349BvuxvQj8IO6xOFJpiKIANrfnrY0j-VT2RaNydvjc_1g6lw8bh33BY5ccZ7nW7BP4j4F1HFAsAh3q5qZO-ajC_xYXiTIezOXERUyMfW29f5cQg=s1280" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="past paper items, permutation, combination, arrangement, selection, grouping, order, number digit arrangement, fundamental principle of counting, letter arrangement, people arrangement, object selection, indistinguishable objects, identical objects, ways, selections, team, committee" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEiLFHwttUy8s9WeiNyHAydVIgVa2Sz9NZWYs3cWFM7RtLchrS_4pe2s0Jn6FFWVsMIaOr_Am-50CN349BvuxvQj8IO6xOFJpiKIANrfnrY0j-VT2RaNydvjc_1g6lw8bh33BY5ccZ7nW7BP4j4F1HFAsAh3q5qZO-ajC_xYXiTIezOXERUyMfW29f5cQg=w320-h180" title="number digit arrangements" width="320" /></a></div></div><ul style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving word letter arrangements</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiPN_3u5dwZqukHjMrEE3IkNP6aF9KAY6nzvPzbolfs2unke-KzO5WsDdEoARLYFXCU5IGhjA-pJMQi-XrOboKUdpXaOI34z62GmArOEGq4YZ-yzD1x7_R6-18sW6hsxj9MG5urZm-ix_aH3EUh3YT6f6a5ZsSQTloC9VTy3-u7tIAWtI6Pj2HNywhNOw=s1280" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="past paper items, permutation, combination, arrangement, selection, grouping, order, number digit arrangement, fundamental principle of counting, letter arrangement, people arrangement, object selection, indistinguishable objects, identical objects, ways, selections, team, committee" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEiPN_3u5dwZqukHjMrEE3IkNP6aF9KAY6nzvPzbolfs2unke-KzO5WsDdEoARLYFXCU5IGhjA-pJMQi-XrOboKUdpXaOI34z62GmArOEGq4YZ-yzD1x7_R6-18sW6hsxj9MG5urZm-ix_aH3EUh3YT6f6a5ZsSQTloC9VTy3-u7tIAWtI6Pj2HNywhNOw=w320-h180" title="word letters arrangements" width="320" /></a></div></div><ul style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving committee formation and arrangements</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgtI8spwm-PzaxKxN8mRr1w8IE3zYwEJ1fdXZiLT9yGC-p71jiE18pVdxV1hVKyQW7H5OWzW_w9NJquwx4Am2QZbPgUmAq5xIdxek1ZztLI5XFvg_yWEv0JMXBmLgtNj3y21BAlbAtfTYn4vmvKpJd4ydHH5Q5oQaulxI48hGXEy615eZdBLaIi3J4KIA=s1280" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="past paper items, permutation, combination, arrangement, selection, grouping, order, number digit arrangement, fundamental principle of counting, letter arrangement, people arrangement, object selection, indistinguishable objects, identical objects, ways, selections, team, committee" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgtI8spwm-PzaxKxN8mRr1w8IE3zYwEJ1fdXZiLT9yGC-p71jiE18pVdxV1hVKyQW7H5OWzW_w9NJquwx4Am2QZbPgUmAq5xIdxek1ZztLI5XFvg_yWEv0JMXBmLgtNj3y21BAlbAtfTYn4vmvKpJd4ydHH5Q5oQaulxI48hGXEy615eZdBLaIi3J4KIA=w320-h180" title="committee selection, formation and arrangements" width="320" /></a></div></div><ul style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving people selection and arrangements</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgXcS78Ydxv9NQdoUrMwGpgEsD3Dd0K7ZgVhcuHKNrZZqGtQauJ4uKa15kdd0FegFU5CiTnZP38zcraCpjxF8vIaYB1SQXBmR4CL1b7V4QB0CQyxfTFhWzHKh5sqEG_7TZDTOxA0X_i6Rbzec-1H9jos6V2YoXJ40RHBV3KwsMdCv-OAd4bWif3l3uxTQ=s1280" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img alt="past paper items, permutation, combination, arrangement, selection, grouping, order, number digit arrangement, fundamental principle of counting, letter arrangement, people arrangement, object selection, indistinguishable objects, identical objects, ways, selections, team, committee" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgXcS78Ydxv9NQdoUrMwGpgEsD3Dd0K7ZgVhcuHKNrZZqGtQauJ4uKa15kdd0FegFU5CiTnZP38zcraCpjxF8vIaYB1SQXBmR4CL1b7V4QB0CQyxfTFhWzHKh5sqEG_7TZDTOxA0X_i6Rbzec-1H9jos6V2YoXJ40RHBV3KwsMdCv-OAd4bWif3l3uxTQ=w320-h180" title="people selection and arrangements" width="320" /></a></div></div><div class="separator" style="clear: both; text-align: center;"><br /></div><div><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1-tkG5LpWvOF73NEqqrpQtOW96qGaFTiH/view?usp=sharing" imageanchor="1" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="past paper items, permutation, combination, arrangement, selection, grouping, order, number digit arrangement, fundamental principle of counting, letter arrangement, people arrangement, object selection, indistinguishable objects, identical objects, ways, selections, team, committee" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhSCrkc_sw_iM-YtFwko3LnhEy77NvyVimJlT4M8eeqxSPpLn4cn2xopdr90jCXzfwJqu7QbkxVNH8FzJ7RpCnn1HTY8pkcMl3b-WVjBqVdNaTTQFNHHdGBrM_5VNsloXxweoFIRMksnWYNJzv7-kUfcVPzrlz5VPS0c3gbbJQ5cTGKex3LIRs_mptXgQ=w320-h180" title="past paper items on permutation and combination" width="320" /></a></div><br /></div><div><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" class="" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" class="shareaholic-media-target-hover-state" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. 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margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">www.ciemathsolutions.blogspot.com</i></span></span></a></span></div></span></span></span></div></span></div></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com1tag:blogger.com,1999:blog-7452953280337461186.post-76933735297486526962021-12-15T22:44:00.008+07:002023-11-25T14:43:36.263+07:00Cambridge AS Level Mathematics 9709 (Pure Mathematics 3) Past Paper Items on Partial Fractions and Binomial Expansion | Revision Exercise in Pure Mathematics 2 & 3 (9709)<div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjTpHlu38A_0ewMWJvYQNBLLXE4N1swkZex1rJhhzx2xMCpx1jyaHX6se3tZPiul3WC0b8ki8GuyGQ8uH28hwNDWglftbyaEFKa9yYZ2xpAHuNnutC7GkNLLThB-UgKBHr773vEyFFljIc9n2qTlq-b5LiJWoZPIXaD-3LjzQq_Q52Tac0HApGoxqGeWg=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE, past papers, revisions, review items, pure maths, pure math 3, partial fractions, binomial expansion, negative powers, fractional powers, missing coefficients, expanded form, cases of partial fractions, polynomials, division of polynomials, partial fraction converted to binomial expansion, expanded partial fraction" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/a/AVvXsEjTpHlu38A_0ewMWJvYQNBLLXE4N1swkZex1rJhhzx2xMCpx1jyaHX6se3tZPiul3WC0b8ki8GuyGQ8uH28hwNDWglftbyaEFKa9yYZ2xpAHuNnutC7GkNLLThB-UgKBHr773vEyFFljIc9n2qTlq-b5LiJWoZPIXaD-3LjzQq_Q52Tac0HApGoxqGeWg=w640-h360" title="Cambridge past paper exam items about partial fractions and binomial expansions" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Pure Mathematics 2 & 3 / Partial Fraction & Binomial Expansion</span></span></span></span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b>: </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > partial fractions</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: large; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">> </span><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">binomial expansion</span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > combinations</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > factorials</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">practice exercises on Partial Fractions and Binomial Expansions</span></b>. The file contains ten (10) items. It contains:</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><ul style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving expansion of binomials with negative powers</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiS1tuA0zDO7qCgjalK4P3SQg_QV0ymZQnvyaKEcpYWTFhvnu6wa8GU6jEHEQM3VH0A2kg65ymw9Jaa4OWM9yjwe9Sg7ghse8yWc95CQO6c96i5E22i1aJVsBQAvrVCdiknMjW5tGVC2kb7CguZR79Zejfgzx3uvcqImFQ1p1bO-DTLsTQbGysoDGdtYA=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE, past papers, revisions, review items, pure maths, pure math 3, partial fractions, binomial expansion, negative powers, fractional powers, missing coefficients, expanded form, cases of partial fractions, polynomials, division of polynomials, partial fraction converted to binomial expansion, expanded partial fraction" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEiS1tuA0zDO7qCgjalK4P3SQg_QV0ymZQnvyaKEcpYWTFhvnu6wa8GU6jEHEQM3VH0A2kg65ymw9Jaa4OWM9yjwe9Sg7ghse8yWc95CQO6c96i5E22i1aJVsBQAvrVCdiknMjW5tGVC2kb7CguZR79Zejfgzx3uvcqImFQ1p1bO-DTLsTQbGysoDGdtYA=w320-h180" title="expanding binomials with negative powers, integral powers" width="320" /></a></div></div><ul style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items finding the missing coefficient(s) of the expanded binomials</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjGZLDbvXRnALXfn3n0wTA--tJPlgbEnyjCGn-w8Xd_ItuAlm0IC73rtX-2EEo07jRUrqNyXr7cjssjLMKVaCVFO3xs_AASWmrGfFHm4gtU3LD9jVNTWl1fR97ZRuegDaPn4MbuuKNgZFm6LipQ2qirvnYKGTifh5zkETPynHZdNiIJSXjkJLW0-HRY2w=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE, past papers, revisions, review items, pure maths, pure math 3, partial fractions, binomial expansion, negative powers, fractional powers, missing coefficients, expanded form, cases of partial fractions, polynomials, division of polynomials, partial fraction converted to binomial expansion, expanded partial fraction" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEjGZLDbvXRnALXfn3n0wTA--tJPlgbEnyjCGn-w8Xd_ItuAlm0IC73rtX-2EEo07jRUrqNyXr7cjssjLMKVaCVFO3xs_AASWmrGfFHm4gtU3LD9jVNTWl1fR97ZRuegDaPn4MbuuKNgZFm6LipQ2qirvnYKGTifh5zkETPynHZdNiIJSXjkJLW0-HRY2w=w320-h180" title="finding the missing coefficient of the expanded binomial with negative power" width="320" /></a></div></div><ul style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving operations of polynomials and partial fractions</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEi4I0ZKMsagYssFkhd8WJyRy80ZqxuC_1Cr0WnUM_H6GZq67yzPo2F1tY_OALFZb3mll8K3K7q0hOautDahvaL0ao0QNj-E__EESSG_s-WAfdDcJjsjqqpppw9v1wCSrn8hMRrIT_JGZHvC7usG3UXN5v_au3RkDlcasQLXz1K_QjXt9aWynWeSiUG7Nw=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE, past papers, revisions, review items, pure maths, pure math 3, partial fractions, binomial expansion, negative powers, fractional powers, missing coefficients, expanded form, cases of partial fractions, polynomials, division of polynomials, partial fraction converted to binomial expansion, expanded partial fraction" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEi4I0ZKMsagYssFkhd8WJyRy80ZqxuC_1Cr0WnUM_H6GZq67yzPo2F1tY_OALFZb3mll8K3K7q0hOautDahvaL0ao0QNj-E__EESSG_s-WAfdDcJjsjqqpppw9v1wCSrn8hMRrIT_JGZHvC7usG3UXN5v_au3RkDlcasQLXz1K_QjXt9aWynWeSiUG7Nw=w320-h180" title="operations on polynomials and partial fractions" width="320" /></a></div></div><ul style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving both partial fractions and binomial expansion</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiRyv0Ug1vAHiuFoubJIoj4kWXyQq2rIV2Wj8Mt2uBVYPFZJSnjG3rEYi-MUj6t-L-rjlYEW75z6X1ASzWLE6EM0ogcLhsB3rg2lFlB9ZNvmAKPKNM4akXw-1UeBUK3xlDERXmX0k1lXzwrqz3GWvCWnPATqmsvWFg3mLtfQknI56DP2dYlU3_auNEIwQ=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="CIE, past papers, revisions, review items, pure maths, pure math 3, partial fractions, binomial expansion, negative powers, fractional powers, missing coefficients, expanded form, cases of partial fractions, polynomials, division of polynomials, partial fraction converted to binomial expansion, expanded partial fraction" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEiRyv0Ug1vAHiuFoubJIoj4kWXyQq2rIV2Wj8Mt2uBVYPFZJSnjG3rEYi-MUj6t-L-rjlYEW75z6X1ASzWLE6EM0ogcLhsB3rg2lFlB9ZNvmAKPKNM4akXw-1UeBUK3xlDERXmX0k1lXzwrqz3GWvCWnPATqmsvWFg3mLtfQknI56DP2dYlU3_auNEIwQ=w320-h180" title="partial fractions expanded to binomials with negative powers" width="320" /></a></div><span style="font-family: arial;"><br /></span></div><div><span style="font-family: arial; font-size: medium;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">):</span></span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1Mw8vaWGBKY-pK6ZMsQIwmaGRnuW0mf-s/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="CIE, past papers, revisions, review items, pure maths, pure math 3, partial fractions, binomial expansion, negative powers, fractional powers, missing coefficients, expanded form, cases of partial fractions, polynomials, division of polynomials, partial fraction converted to binomial expansion, expanded partial fraction" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEjYE6JxR1q2pHtAhjvTiKnQZBbRTyQl98_bQ3GjeUQhNZCJQswur5R_DTm_PTgXrAmpZtUc7hd9Zs3cnyfhd44P0NagBLLvnlpv-UC5mOBEH5Rq8VM3k4OoKp28UWLlYXcHGjoUoH1h_ZVuyNFrF24QjDPRZ1SmkoiXfC7JDsHrevl7a0J7gzHjogf2tQ=w320-h180" title="CIE past paper items on partial fractions and binomial expansions" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></div><div><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on probability" width="320" /></a></div><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px 1em; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" style="background: transparent; border: none; height: auto; margin: 0px; max-width: 97%; outline: 0px; padding: 0px; position: relative; transition: all 0.5s ease 0s; vertical-align: baseline;" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="background: transparent; border: 0px; clear: both; margin: 0px; outline: 0px; padding: 0px; text-align: center; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></div></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. 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Thank you and God bless! </span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">---------------------------------------------------------------------------------------------------------------</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; 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margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">www.ciemathsolutions.blogspot.com</i></span></span></a></span></div></span></span></span></div></span></div></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com0tag:blogger.com,1999:blog-7452953280337461186.post-29102173200547290792021-11-20T09:01:00.007+07:002023-11-25T14:44:12.030+07:00Cambridge AS Level Mathematics 9709 (Probability & Statistics 1) Past Paper Items on Probability (Part 2) | Revision Exercise in Probability and Statistics 1 (9709)<div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhkVwGAvrhBGbS7ARgA2r6MYvECY4OIkyAJuYtAZIn_dpxYSpMuCYEnQKF4JLQHQM5ePuIWz4po-hd8KZmfa7unO3uLmuybcNl8oS0omfA756gZfatRv7yZvQeVMdyP4IXT_BP7E42wP_g6BubE1i2nSTJw16xx-r9G2waef-65NN8xZpZ0kxPAX7A6sw=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/a/AVvXsEhkVwGAvrhBGbS7ARgA2r6MYvECY4OIkyAJuYtAZIn_dpxYSpMuCYEnQKF4JLQHQM5ePuIWz4po-hd8KZmfa7unO3uLmuybcNl8oS0omfA756gZfatRv7yZvQeVMdyP4IXT_BP7E42wP_g6BubE1i2nSTJw16xx-r9G2waef-65NN8xZpZ0kxPAX7A6sw=w640-h360" title="Cambridge AS/A Level Maths Statistics 1 past papers on probability" width="640" /></a></div><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability and Statistics 1 / Probability</span></span></span></span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b>: </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > <a href="https://youtu.be/Id0xVflMPso" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;" target="_blank">experiment, sample space and events</a></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: large; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="font-size: medium;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">> </span><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">probability rules</span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > dependent and independent events</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > mutually exclusive and non-mutually exclusive events</span><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > conditional probability</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > tree diagrams</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">practice exercises on Probability</span></b>. The file contains ten (10) items. It contains:</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><ul style="background: transparent; border: 0px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving independent events and mutually exclusive events</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjkmLEC2357M-fsF93hfxkhURsxnR9pfY0OoqZ0Ki2LQ0J7T4Ysjc85iUdeY-4sLDYGh04HOskjuMH5JciAp5c9pzcMV3A9X5gfrgejnMoiM7gd-gXufzsDGeCOwG9APhYV2Otp619YL7fD2-iE8LCSom4kNDpfcIqi3m1Wu_eLWFddyf0VgYhmKPBqkw=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEjkmLEC2357M-fsF93hfxkhURsxnR9pfY0OoqZ0Ki2LQ0J7T4Ysjc85iUdeY-4sLDYGh04HOskjuMH5JciAp5c9pzcMV3A9X5gfrgejnMoiM7gd-gXufzsDGeCOwG9APhYV2Otp619YL7fD2-iE8LCSom4kNDpfcIqi3m1Wu_eLWFddyf0VgYhmKPBqkw=w320-h180" title="independent events and mutually exclusive events example" width="320" /></a></div></div><ul style="background: transparent; border: 0px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items requiring a tree diagram</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhgnt1VjG6L4ZaYDKQA92RFMyPckS-9dQ14PYviIFbJzpBs4ZyKeA0RAlPd6meXI8LsRnnOcZK0C4a-nsF0gtjJOtfkrGPtbTAsVrplRO-18BlSkwM2VBZ3GETsI0n_jOi3uor7Dm6pvIKHwljSJ5C7wtP4csuHOe6wodmnvsszSxdxaKscmobLnBoFVg=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhgnt1VjG6L4ZaYDKQA92RFMyPckS-9dQ14PYviIFbJzpBs4ZyKeA0RAlPd6meXI8LsRnnOcZK0C4a-nsF0gtjJOtfkrGPtbTAsVrplRO-18BlSkwM2VBZ3GETsI0n_jOi3uor7Dm6pvIKHwljSJ5C7wtP4csuHOe6wodmnvsszSxdxaKscmobLnBoFVg=w320-h180" title="drawing tree diagrams for events in probability" width="320" /></a></div></div><ul style="background: transparent; border: 0px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving dependent events</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgmGXPA_jQqhWL1iV9rPBDWFRBvE4GmIixdHDUSNsm66ugPjSBIOt1zvzRtj92uYEkRVU0kM51U-G8Ay40t5n2eMwVvjHMnCJ_fiwdRQaO03bu5Z8Y9nfVwEt2s7JaHD2BEGfqyTD3PcrunLyMJJjV1CS-XUPZDopKs_jlIJYwbL7jr-yca2X9tDS14XA=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgmGXPA_jQqhWL1iV9rPBDWFRBvE4GmIixdHDUSNsm66ugPjSBIOt1zvzRtj92uYEkRVU0kM51U-G8Ay40t5n2eMwVvjHMnCJ_fiwdRQaO03bu5Z8Y9nfVwEt2s7JaHD2BEGfqyTD3PcrunLyMJJjV1CS-XUPZDopKs_jlIJYwbL7jr-yca2X9tDS14XA=w320-h180" title="dependent events in probability" width="320" /></a></div></div><ul style="background: transparent; border: 0px; line-height: 1.4; list-style-position: inside; margin: 0.5em 0px; outline: 0px; padding: 0px 2.5em; transition: all 0.5s ease 0s; vertical-align: baseline;"><li style="background: transparent; border: 0px; margin: 0px 0px 0.25em; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: small;">Challenging items in probability</span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiJ4ljngGvJIBqzdXNczLxurxQ-1tN2ZAP6lyppd0YY9bL7LQhOdQMRhPbS5qbHaSpXxBN48_Wq6RaFKTz-mgSQhs4DVcrfFBhJd067zuKVjsfqk5pH-ANzkYtj8rin_DAxEjtllpoFtVAupXgIhGjxqy7SoFYC2m3Nv84-RKzUWy5PtAk5Qq71WaQb_Q=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEiJ4ljngGvJIBqzdXNczLxurxQ-1tN2ZAP6lyppd0YY9bL7LQhOdQMRhPbS5qbHaSpXxBN48_Wq6RaFKTz-mgSQhs4DVcrfFBhJd067zuKVjsfqk5pH-ANzkYtj8rin_DAxEjtllpoFtVAupXgIhGjxqy7SoFYC2m3Nv84-RKzUWy5PtAk5Qq71WaQb_Q=w320-h180" title="challenging problems on events and probability" width="320" /></a></div><span style="font-family: arial;"><br /></span></div><div><span style="font-family: arial;">You may download the complete copy of the past paper items here (</span><b style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: initial; background-repeat: initial; background-size: initial; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click the image below</span></i></b><span style="font-family: arial;">):</span></div><div><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1s25iilC0QsxfvvV4uXIwWp8hJMrYF2hr/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgSV9I9GVZ7DBNcotcg7dkLGJPw_-9dCoi1OjxnlbcOf1-HHgr2dcm5QoDA6PZIEsW_w_2Wsosr1TVjKne3EpAROq40mSYB3zIVTygElRPw_Cz8z3DMryp49B2JP_-QpYWgb2P1z3Fyk_etuNdqmy4_Mtqv0jgSQy2j7EbzLSDBlydftcBHorTJfSF9Hw=w320-h180" title="AS/A level Maths Statistics 1 past paper items on probability" width="320" /></a></div><span style="font-family: arial;"><br /></span></div><div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br style="margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s;" /></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Past Paper Items on Probability [Part 1]</b></span> here (<b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #cc0000; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">click on the image below</span></i></b>):</span></span></span></div></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://ciemathsolutions.blogspot.com/2021/11/past-paper-items-on-probability.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEh1MF9FSf2kSyh9zPBNoEH5-McHod6RSpQSJVBGhRQNECXgfEH2mREGrRMYiBT8wjNmv0JeJQVlZFdP87fkFRn5Z8GV7LacTWOWqQgHr6M4VcfSL63cWjhLxuD68rTD3unpdb27v2thBfew4cZU4Xs_rcyrxQ_CSSK9t-WKEGgxIHS3NEbFy_RE2uU8pQ=w320-h180" title="Statistics 1 past paper items on probability" width="320" /></a></div><br /></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Other collection of Cambridge AS/A Level Maths (9709) past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgqH5fxhdpnYA9F3CUM77mbVR0nE4oyLuDbV7PnssW94zk4wGsTSfcmHYsf4hW2KOV7hEXclZw4PvyGp1vvYXwyFwklo0pzC_mqFwE4ePv52D0B-E3RQeMGuYY4ncb69mPIkTShdgUKUw5eM4BvJRDOpaZC0ciktfu1LT3rIn1WKGkmHJubVGz1bccwlw=w320-h180" title="Statistics 1 past paper items on measures of central location and variation" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhY_mXqD1j9P2Kn9yBbBRCxXT-GRSGaGpj0VT-Zc_WgnC0DvYbihunJirY4G7Wmat5H-mgmpORpniXzHBWRU9Bws6AhFO5MRQfcNVJiGOvdL7rLCGAMyaMEAXo7aIOfLzV153RBQr1kU3eKNdheVw0f1r-AOOEQKHu6gtUZtzQb_77PZIZuLsUt-YqHjA=w320-h180" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. Write them in the comment box below. Thank you and God bless! </span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">---------------------------------------------------------------------------------------------------------------</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; 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border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><i>www.ciemathsolutions.blogspot.com</i></span></span></a></span></div></span></span></span></div><div><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></div></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com0tag:blogger.com,1999:blog-7452953280337461186.post-22500231460171552332021-11-11T08:32:00.009+07:002023-11-25T14:45:23.681+07:00Cambridge AS Level Mathematics 9709 (Probability & Statistics 1) Past Paper Items on Probability | Revision Exercise in Probability & Statistics 1 (9709)<div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhfLnMk1eEwFF87VJR19_5lj9_Zz73y5V-S4xo-I3CuYNN8r29nK-BrlQLaHNkTh6RNeAC9rj9QC5kRr0KgVAXlZHoe0Y8ceKnLIKS1zQBOoVnSHnelMdUvEoao04Lsg0GX_maslRySCcv1FlDQUsvC7A-KmxncwJdgF8ZzQisHzeTsd00TVbA9FYgEeg=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/a/AVvXsEhfLnMk1eEwFF87VJR19_5lj9_Zz73y5V-S4xo-I3CuYNN8r29nK-BrlQLaHNkTh6RNeAC9rj9QC5kRr0KgVAXlZHoe0Y8ceKnLIKS1zQBOoVnSHnelMdUvEoao04Lsg0GX_maslRySCcv1FlDQUsvC7A-KmxncwJdgF8ZzQisHzeTsd00TVbA9FYgEeg=w640-h360" title="Cambridge AS level Maths past paper items on Probability" width="640" /></a></div><br /><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></b></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability and Statistics 1 / Probability</span></span></span></span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b>: </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > <a href="https://youtu.be/Id0xVflMPso" target="_blank">experiment, sample space and events</a></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background-color: transparent; font-family: arial; font-size: large;"> </span><span style="background-color: transparent; font-family: arial; font-size: medium;">> probability rules</span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > dependent and independent events</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span> > mutually exclusive and non-mutually exclusive events</span><br /></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > conditional probability</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > tree diagrams</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Pre-requisites:</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><ul style="text-align: left;"><li><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> What is probability?</span></span></span></span></li></ul></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">A short discussion of what is probability (in just 1 minute). Probability is defined with example. </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="325" src="https://www.youtube.com/embed/PM-8pXqg22g" width="390" youtube-src-id="PM-8pXqg22g"></iframe></div><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><ul style="text-align: left;"><li><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Overview of Experiment, Sample Space and Events</span></span></span></span></li></ul><div>This video gives an overview of the definition and corresponding examples of experiment, sample space and events. </div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="335" src="https://www.youtube.com/embed/MQfweK-IUjY" width="403" youtube-src-id="MQfweK-IUjY"></iframe></div><ul style="text-align: left;"><li><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Examples of Experiments, Sample Space and Events</span></span></span></span></li></ul><div>This video provides ample examples of experiment, sample space and events. Most of them are presented in different ways: some using list method, tree diagram, and/or possibility diagrams. </div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="397" src="https://www.youtube.com/embed/Id0xVflMPso" width="478" youtube-src-id="Id0xVflMPso"></iframe></div><ul style="text-align: left;"><li><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Answers of the Homework from the Examples of Experiments, Sample Space and Events</span></span></span></span></li></ul><div>This video provides the complete calculations/workings for the answers of the homework given in the previous video on experiment, sample space and events.</div><div class="separator" style="clear: both; text-align: center;"><iframe allowfullscreen="" class="BLOG_video_class" height="405" src="https://www.youtube.com/embed/_-MMskMazGY" width="489" youtube-src-id="_-MMskMazGY"></iframe></div><div><br /></div></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">practice exercises on Probability</span></b>. The file contains ten (10) items. It contains:</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><ul style="font-family: "Open Sans"; font-size: 13px;"><li><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving dependent events</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEiuLphfyqDJVs3wKLazjk1U2oyrPyQ9ZDoe6sGpcWqQZJaT6DHRGYzj5vS51Pe5auLnwa_L-rQFecQNvC4hUbmwt-I9taz_TF-sf3m53gmmTWot3Enk5VN886982qY2hRM_0N-A_vPn-QYtM0e7terinkVGCxiS9FYI3JkaEQmdELU47Ion-ce-Ur1dww=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEiuLphfyqDJVs3wKLazjk1U2oyrPyQ9ZDoe6sGpcWqQZJaT6DHRGYzj5vS51Pe5auLnwa_L-rQFecQNvC4hUbmwt-I9taz_TF-sf3m53gmmTWot3Enk5VN886982qY2hRM_0N-A_vPn-QYtM0e7terinkVGCxiS9FYI3JkaEQmdELU47Ion-ce-Ur1dww=w320-h180" title="finding probability involving dependent events" width="320" /></a></div></div><ul style="font-family: "Open Sans"; font-size: 13px;"><li><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving tree diagrams</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjlOOD3OdVz1ggV1AgC3gCeUntFBKV-ISCYQY7a_iAnKJ-vOkTFLUfzuBhE-QrUdDEo2tcdBKMlCOUxMnTq1GkpkWVTNuLsqd7n4laNvTQwfYcc3TMybnzYUJGSE_h4srEKuUGQQ2aC7_FVqEfjKz8DjGO3RQdFu2gx0rqfRclb6QMu-HKHELJgQIPtVQ=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEjlOOD3OdVz1ggV1AgC3gCeUntFBKV-ISCYQY7a_iAnKJ-vOkTFLUfzuBhE-QrUdDEo2tcdBKMlCOUxMnTq1GkpkWVTNuLsqd7n4laNvTQwfYcc3TMybnzYUJGSE_h4srEKuUGQQ2aC7_FVqEfjKz8DjGO3RQdFu2gx0rqfRclb6QMu-HKHELJgQIPtVQ=w320-h180" title="calculating probability using a tree diagram" width="320" /></a></div></div><ul style="font-family: "Open Sans"; font-size: 13px;"><li><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving data in tabular or table form</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgS1r65xAN_htAzz4pAyDKQo1nQMla6uM78B7ihQkyuypgVxRyHaqJ90v8bBZ6RoyluR6QXUfDlqBCxUkTthwgu2EpKZ2UU-YdnIBAx7Nb1iiAMNm1fjLy2OjmemnYB4uTz9-5YBDkQbfHvy2OKYvCAQF0H7YHLR4a47-fF7pmxt1SwN3i0k5_Syso40w=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgS1r65xAN_htAzz4pAyDKQo1nQMla6uM78B7ihQkyuypgVxRyHaqJ90v8bBZ6RoyluR6QXUfDlqBCxUkTthwgu2EpKZ2UU-YdnIBAx7Nb1iiAMNm1fjLy2OjmemnYB4uTz9-5YBDkQbfHvy2OKYvCAQF0H7YHLR4a47-fF7pmxt1SwN3i0k5_Syso40w=w320-h180" title="finding probability with data given in a table" width="320" /></a></div><br /></div><div><span style="font-family: arial; font-size: medium;">You may download the complete copy of the past paper items here (<b><i><span style="color: #cc0000;">click the image below</span></i></b>):</span></div><div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/16C-0u_Mijddl2v3EPwM2JtUEEmMf28qM/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, statistics 1, probability and statistics, probability, tree diagrams, independent events, dependent events, possibility diagram, sample space, events, experiment, multiplication rule in probability, conditional probability, bayes theorem, probability calculations" border="0" data-original-height="720" data-original-width="1280" height="225" src="https://blogger.googleusercontent.com/img/a/AVvXsEgI_SLIxIuWo0YtKeuexIvcj5JE_83iLUj3FP5FL6qyT3hQmu30HEzuuctk0TQgs_q27mXVzknbBinZkT3Uq71sqN99F8fHqNMTovOqjjC1W873ZBfCt1jhfROk_Ao-_CjI6K65lrAt3_BY95_N_ayFPEKVI7KPlpymgD3mUglRUGTeul10bZPZJjtH4A=w400-h225" title="Cambridge AS level maths past paper items on probability" width="400" /></a></div><div class="separator" style="clear: both;"><br /></div></div></div><div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;">>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>></span></div><div style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="font-family: arial; font-size: medium;"><br /></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="color: #2b00fe;"><b>Measures of Central Location and Variation [Part 1]</b></span> here (<b><i><span style="color: #cc0000;">click on the image below</span></i></b>):</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://ciemathsolutions.blogspot.com/2019/12/revision-exercise-on-representations-of.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="960" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5xfcbAzD09Wc9Bh07iKf7g7eFuTF3fKqEUtXFkYkrBfrW9Av2PoX-jgmW_EI5zu4JmImfkqd4dTkMsIhksOMk3C6k-D62Zvbeqs9Ttu0WLKu1ef7tXmLaiHwDPrlrR5mL3XnF7iL5byO3/w320-h240/Mean+and+Variance.jpg" title="formulas for measures of central tendency and variation" width="320" /></a></div></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="color: #2b00fe;"><b>Measures of Central Location and Variation [Part 2]</b></span> here (<b><i><span style="color: #cc0000;">click on the image below</span></i></b>):</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEj-SYkQL5VpMWwXx2tYMLPdIvBtnbf27b2c4Fc8iYE5s1F2WIs-hOwSK1_U77ttwBeY7KmLqxPcDP22lyKNred3DiZIRt78aGDdOyW1BVIQAGkC0I5__InA17m5wWE5OhQ84UitqqKu_KZ-Mmhz6cXTFWlSOa-aYsFr2ZRXh_fjaE4SlEH7GLBEepYccg=w320-h180" title="AS and A level statistics1 review items on measures of central tendency and variation" width="320" /></a></div><br /><div class="separator" style="clear: both; text-align: center;"><br /></div></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Some other collection of past papers you might be interested:</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEiaN5Pq_5OtBjkaNhnvJvhWYkCRcCSqyyzaZ4cq_xUqR3lRDL9AaMYzoMU6DJ9mu6h4dArc9VRb-ra8P5nX3ywsh-tE7iA5l0SjWt6BIlKmALiPbBcd7oavwqcH__TALm-zA_dan43EBVdEOv9YhKV_6ygPWxHljKipzmjRIZsxL0Gqt11l7bRiUISlJQ=w320-h180" title="past paper items on mean, median, mode, standard deviation and quartiles" width="320" /></a></div><a href="https://ciemathsolutions.blogspot.com/2021/10/revision-exercise-on-representing-and.html" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhbaYdo9RfRL6uvdul2k4ShG4BR9qcJnSWfvOWkpyhfQIlg4wy6V_TjV4FjEExl4ly1Z99VFKgdr8Q6823jyJ-d1aR4SvK4YfAdjdziC95GnyXKj2i0tqqfGUze1d5r-7vU13Xzc957tDml75yi-pl0xXgv2c5_jYNGpJprIjZClzsiJh3sgZQRZ__owA=w320-h180" title="past paper items on histogram, cumulative frequency graph and box-and-whisker plots" width="320" /></a></div><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></div><div style="background: transparent; 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margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Your comments and suggestions are welcome here. 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padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><a href="http://www.ciemathsolutions.blogspot.com/" style="background: transparent; border: 0px; color: #4f98d3; margin: 0px; outline: 0px; padding: 0px; text-decoration-line: none; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: small; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">www.ciemathsolutions.blogspot.com</span></span></a></span></div></div></div>CIE Math Solutionshttp://www.blogger.com/profile/05088029151740392613noreply@blogger.com1tag:blogger.com,1999:blog-7452953280337461186.post-39138123969927396662021-10-10T14:03:00.005+07:002023-11-25T14:45:42.714+07:00Cambridge AS Level Mathematics 9709 (Probability & Statistics 1) Revision Exercise on Representing and Interpreting Data (Histogram, Cumulative Frequency Graph and Box-and-Whisker Plot)<div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjxL3wTqlpf6sccfPU6KCaoKb4FhcACfOXsZxAqYhUGiJGeHScyMXZSp4a0WjRHVMEcwrMHc8ooZpwiVeu5qCuI44kHrk90UM_sTpm40V5KP-rrnJcvo9A6WjicMcqHw7UeKLGtNAMvXexqMa0ejFl9-TFpvcvEnjDq0tH1Do_Cw0SRi4HiNmwSbAX_EA=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, histogram, cumulative frequency graph, box-and-whisker plot, frequency ogive, representing and interpreting data, statistics 1, probability and statistics, mean, median, quartiles, reading graphs, graphing, grouped data, five number summary" border="0" data-original-height="720" data-original-width="1280" height="360" src="https://blogger.googleusercontent.com/img/a/AVvXsEjxL3wTqlpf6sccfPU6KCaoKb4FhcACfOXsZxAqYhUGiJGeHScyMXZSp4a0WjRHVMEcwrMHc8ooZpwiVeu5qCuI44kHrk90UM_sTpm40V5KP-rrnJcvo9A6WjicMcqHw7UeKLGtNAMvXexqMa0ejFl9-TFpvcvEnjDq0tH1Do_Cw0SRi4HiNmwSbAX_EA=w640-h360" title="AS and A level maths past paper items on histogram, cumulative frequency graph and box-and-whisker plot" width="640" /></a></div><div class="separator" style="clear: both; text-align: center;"><br /></div></span></span></span></span></div><span style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Syllabus Area</b>: Probability and Statistics 1 / Presenting and Interpreting of Data</span></span></span></span><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Formulae/Concepts Needed</b>: </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span> > mean and median</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > quartiles and interquartile range</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> > histogram</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span> > cumulative frequency graph</span><br /></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span> > box-and-whisker plot</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span> > stem-and-leaf diagram</span></span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"> </span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Here is the copy of the <b style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; color: #2b00fe; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">practice exercises on Representing and Interpreting Data</span></b>. The file contains five (10) items. It contains:</span></span></span></span></div><div style="background: rgb(255, 255, 255); border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><ul style="font-family: "Open Sans"; font-size: 13px;"><li><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving histograms</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEgMXMx4B8B8NF7S1TwDmVOZjWzxZb3d3h48_dOd6QYTJgYd5HkM-aFpb5WmpttZbv8rb-9-ucl5b73CgGZRm-Sy_4jeF_5ggfQA2VwkxLl3kwDZcU7Daw5qDmtd5_ORBBMlQVz-7iYUkwVWMHZ-JNk0s3sJpZNXdWcM6dn0t7CTwum-bKZ00Xa_SYQFfA=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, histogram, cumulative frequency graph, box-and-whisker plot, frequency ogive, representing and interpreting data, statistics 1, probability and statistics, mean, median, quartiles, reading graphs, graphing, grouped data, five number summary" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEgMXMx4B8B8NF7S1TwDmVOZjWzxZb3d3h48_dOd6QYTJgYd5HkM-aFpb5WmpttZbv8rb-9-ucl5b73CgGZRm-Sy_4jeF_5ggfQA2VwkxLl3kwDZcU7Daw5qDmtd5_ORBBMlQVz-7iYUkwVWMHZ-JNk0s3sJpZNXdWcM6dn0t7CTwum-bKZ00Xa_SYQFfA=w320-h180" title="drawing a histogram for a given data" width="320" /></a></div></div><ul style="font-family: "Open Sans"; font-size: 13px;"><li><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving cumulative frequency graphs</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEhKYXFDgKPq4TcshnCyRFvzTReOrnDs2wX_5pfVyk6JloXYVbNxqFBYX65Mp4_m8YQa-0CRWEIiyvUfc_R_ts3zVrdV172O3xuIStN7pSqnzROO0DCeANeR9KTlnHTFOL1nCwQx4fKLRPOkn3HpHVBlhsDrDo9Gry8HBr-zYXPhBAjJzf06bIeC-OLUOA=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, histogram, cumulative frequency graph, box-and-whisker plot, frequency ogive, representing and interpreting data, statistics 1, probability and statistics, mean, median, quartiles, reading graphs, graphing, grouped data, five number summary" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEhKYXFDgKPq4TcshnCyRFvzTReOrnDs2wX_5pfVyk6JloXYVbNxqFBYX65Mp4_m8YQa-0CRWEIiyvUfc_R_ts3zVrdV172O3xuIStN7pSqnzROO0DCeANeR9KTlnHTFOL1nCwQx4fKLRPOkn3HpHVBlhsDrDo9Gry8HBr-zYXPhBAjJzf06bIeC-OLUOA=w320-h180" title="drawing a cumulative frequency graph for a given data" width="320" /></a></div></div><ul style="font-family: "Open Sans"; font-size: 13px;"><li><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">Items involving box-and-whisker plots and stem-and-leaf diagrams</span></span></span></span></li></ul><div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/a/AVvXsEjYcWKNGDpxVVrGR84EIZmOWkKPWoXGpsPlDwQ08W94kM1HUar451hz5mq5Sqgry3Y-8stNw6Nc37guwkwAzclqShMPSDQHyBgc6t3GszynWUM-FCs73X48FhnPThnhemZRFtAUs7_9n1xZei0cBrdq2-IreovB0ULjrMDI8Dhm8zF7xr7JaCYcazoiJA=s1280" style="margin-left: 1em; margin-right: 1em;"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, histogram, cumulative frequency graph, box-and-whisker plot, frequency ogive, representing and interpreting data, statistics 1, probability and statistics, mean, median, quartiles, reading graphs, graphing, grouped data, five number summary" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEjYcWKNGDpxVVrGR84EIZmOWkKPWoXGpsPlDwQ08W94kM1HUar451hz5mq5Sqgry3Y-8stNw6Nc37guwkwAzclqShMPSDQHyBgc6t3GszynWUM-FCs73X48FhnPThnhemZRFtAUs7_9n1xZei0cBrdq2-IreovB0ULjrMDI8Dhm8zF7xr7JaCYcazoiJA=w320-h180" title="drawing a box-and-whisker plot" width="320" /></a></div><br /></div><div><span style="font-family: arial; font-size: medium;">You may download the complete copy of the past paper items here (<b><i><span style="color: #cc0000;">click the image below</span></i></b>):</span></div><div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both; text-align: center;"><a href="https://drive.google.com/file/d/1Sem4gEg1aFHySJ1JS2Yf9DuKdQdgDqV6/view?usp=sharing" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="revisions, AS and A level maths, 9709, Cambridge maths, histogram, cumulative frequency graph, box-and-whisker plot, frequency ogive, representing and interpreting data, statistics 1, probability and statistics, mean, median, quartiles, reading graphs, graphing, grouped data, five number summary" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEjd69dGoJRfzCQCLc-rkGSWQamGeI3Re5fItNAtMfrC9IfY-QArYSoCXgsDBT-w-iPRKQqjk3jyb84HSeKsrn8mvS3e294GRaQvNwVHA6jjRfO4ym4ETXQgVvJUPsePqfU8sVhTfCPaWUbRNFs_cHM9h2wlVxcGotRSsTIS0hpgTQ3VK0n_jErudIVFSg=w320-h180" title="review items for AS and A level maths statistics 1" width="320" /></a></div></div><br /></div><div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You may also want to try the previous set of past papers on <span style="color: #2b00fe;"><b>Measures of Central Location and Variation [Part 1]</b></span> here (<b><i><span style="color: #cc0000;">click on the image below</span></i></b>):</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://ciemathsolutions.blogspot.com/2019/12/revision-exercise-on-representations-of.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="960" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg5xfcbAzD09Wc9Bh07iKf7g7eFuTF3fKqEUtXFkYkrBfrW9Av2PoX-jgmW_EI5zu4JmImfkqd4dTkMsIhksOMk3C6k-D62Zvbeqs9Ttu0WLKu1ef7tXmLaiHwDPrlrR5mL3XnF7iL5byO3/w320-h240/Mean+and+Variance.jpg" title="formulas for measures of central tendency and variation" width="320" /></a></div></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;">You also want to try the previous set of past papers on <span style="color: #2b00fe;"><b>Measures of Central Location and Variation [Part 2]</b></span> here (<b><i><span style="color: #cc0000;">click on the image below</span></i></b>):</span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; font-family: arial; font-size: medium; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><br /></span></span></span></div><div style="background: transparent; border: 0px; font-family: "Open Sans"; font-size: 13px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><span style="background: transparent; border: 0px; margin: 0px; outline: 0px; padding: 0px; transition: all 0.5s ease 0s; vertical-align: baseline;"><div class="separator" style="clear: both; text-align: center;"><a href="https://ciemathsolutions.blogspot.com/2021/09/revision-exercise-on-measures-of.html" style="margin-left: 1em; margin-right: 1em;" target="_blank"><img alt="mean, median, mode, standard deviation, variance, quartiles, interquartile range, central location, measures of spread, measures of variability, variation, coded formula, formulas, statistics, 9709, probability and statistics 1, maths, Cambridge maths, cie, past paper items, Statistics 1 exam preparation" border="0" data-original-height="720" data-original-width="1280" height="180" src="https://blogger.googleusercontent.com/img/a/AVvXsEj-SYkQL5VpMWwXx2tYMLPdIvBtnbf27b2c4Fc8iYE5s1F2WIs-hOwSK1_U77ttwBeY7KmLqxPcDP22lyKNred3DiZIRt78aGDdOyW1BVIQAGkC0I5__InA17m5wWE5OhQ84UitqqKu_KZ-Mmhz6cXTFWlSOa-aYsFr2ZRXh_fjaE4SlEH7GLBEepYccg=w320-h180" title="AS and A level statistics1 review items on measures of central tendency and variation" width="320" /></a></div><br /><div class="separator" style="clear: both; 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