Planet Infinity...My K.H.M.S. Math Class

Number Pattern Puzzles

2013-02-28T18:11:00.000+05:30

1. If 11x11=4
22x22=16
33x33=18
then, 44x44=?

2.If 7 - 3 = 10124
6 + 3 = 3279
5 – 2 = 763
11 + 2 = 92613
then, 15 - 3 =?

Mathematical Puzzle

2013-01-07T15:04:00.000+05:30

I have two 10 litre bottles full of water and 2 other empty bottles of 5 and 4 litres. I want to fill 3 litres in each empty bottles without the help of any additional container and without pouring out or wasting a single drop of water.
How can I do it?

MOCK Test PSA Class 9

2012-12-30T10:02:00.001+05:30

Sample Paper for CBSE PSA Class 9 by CBSE

2012-12-13T16:30:00.000+05:30

More Information on CBSE PSA

2012-12-10T09:11:00.000+05:30

For students of classes 9 and 11 (2012-13) as shared by CBSE.

Additional Information in relation to conduct of Problem Solving Assessment for classes IX and XI

a) No separate registration for PSA is required. Students already registered for class IX and XI with the Board are eligible for this test and will use same registration number for PSA. There is no separate roll number required for this purpose.

b) The Board will make the question paper for PSA available to every school approximately one week before the actual date of examination. The number of question papers to be sent to any school will be in accordance with the total number of students registered for classes IX and XI.

c) There will be a single question paper covering qualitative reasoning, quantitative reasoning and language conventions as per the details given in the earlier circulars. The OMR answer sheet to be used for answering the questions will be kept inside the question paper booklet. Sample question paper for PSA will be made available on Board’s website by last week of November,2012. You may download this material and make it available to all concerned.

d) Similarly, every student of class-XI will get same question paper, irrespective of the subject combination he/she is offering. However, this question paper will be different from the question paper used for class-IX.

e) As mentioned in the earlier circulars, the Problem Solving Assessment score will be counted towards

FA-4 of class-IX. This same score will be reflected in one language (English or Hindi), Mathematics, Science and Social Science. Regular FA-4 will be conducted in the other language. Since there is no FA-4 in class-XI , the students will be given a separate certificate in respect of their score obtained in PSA. The choice of one language for PSA will be take jointly by students and school authorities.

Logical Reasoning Complete the series

2012-12-09T13:42:00.001+05:30

This worksheet is submitted by Sahil Ahuja.

Qualitative Reasoning Worksheet 4

2012-12-09T12:06:00.000+05:30

Complete the Series

1. 1, 1, 4, 8, 9, 27, 16, ?
a) 32             b) 81                 c) 64               d) 256

2. 6, 13, 25, 51, 101, ?
a) 201           b) 202                c) 203              d) 205

3) 198, 194, 185, 169, ?
a) 92             b) 112                c) 136              d) 144

4) 2, 7, 27, 107, 427, ?
a) 1262         b) 1707              c)4027              d) 4207

5) 3, 12, 27, 48, 75, 108, ?
a) 147          b) 162                 c) 183              d) 192

6) 165, 195, 255, 285, 345, ?
a) 375           b) 390                c) 420              d) 435

7) 2, 2, 5, 13, 28, ?
a) 49            b) 50                   c) 51                d) 52

8) 24, 60, 120, 210, ?
a) 300           b)420                c) 525               d) 336

Qualitative Reasoning Worksheet 3

2012-12-08T20:06:00.004+05:30

Direction

1. A man started walking from a point towards South. He turned right at right angles, then again right at right angles and then again right at right angles. In what direction was he ultimately walking?
a) West        b) East         c) South      d) North

2. A man is facing West. He turns 45 degrees in the clockwise direction and then another 180 degrees in the same direction and then 270 degrees in the anticlockwise direction. Which direction he is facing now?
a) South      b) North-West     c) West    d) South- West

3. Deepa moved a distance of 75 metres towards the North. She then turned to the left and walking for about 25 metres, turned left again and walked 80 metres. Finally, she turned to right at an angle of 45 degrees. In which direction was she moving finally?
a) North- East   b) North- West    c) South   d) South- West

Relations

1.Pointing to a photograph a woman said, " She is the only daughter of my mother's father". How is the woman related to the person in the photograph?
a) Mother    b) Grandmother    c) Daughter    d) cannot be determined

2. Avinash is Ravi's eldest brother. Ravi is younger than Ajay. Ravi and Ajay are not brothers. Which of the following statements is definitely true?
a) Ajay is younger than Avinash   b) Avinash is younger than Ajay
c) Ajay is younger than Ravi        d) None of these

Qualitative Reasoning Worksheet 2

2012-12-08T20:03:00.002+05:30

Analogy
1. 3:27 :: 5: ?
  a) 25        b) 125         c) 25            d) 30

2. Frequently: Always:: Seldom: ?
   a) ever     b) never      c) sometimes       d) something

3. Glucose: Carbohydrate :: Soyabean: ?
   a) Proteins    b) Vitamins       c) Minerals        d) Legumes

4. Import: Export :: Expenditure: ?
    a) Deficit    b) Revenue     c) Debt      d) Tax
5. Origami: Paper :: Ikebana : ?
    a) Trees     b) Theatre       c) Flowers       d) Tapestry

Coding- Decoding

1. If TOM = 48 and DICK = 27, then HARRY = ?
a) 70             b) 67                c) 50                d) 46

2. In a certain code SOBER is written as RNADQ. How LOTUS will be written in that code?
a) MPUWT    b) KMSTR         c) LMRST         d) KNSTR

3. If the word PORTER can be coded as MBNZQN, how will VOTES be written in the same code?
a) NQMNBZ   b) NQMBNZ      c) NBQMNZ     d) NQBMNZ

4. In a coding system, PEN is written as NZO and BARK is written as CTSL, how can we write PRANK in this system?
a) CSTZN     b) NSTOL     c) NTSLO      d) NZTOL

Qualitative Reasoning Worksheet 1

2012-12-08T19:51:00.003+05:30

Comparison
Alka is older than Mala. Gopal is older than Mala but younger than Alka. Kapil is younger than Ram and Mala. Mala is older than Ram.

1. Whose age is between Gopal and Ram?
a) Mala        b) Kapil         c) Alka          d) none of these
2. Whose age is between Mala and Kapil?
a) Gopal       b) Ram          c) Alka         d) None of these
3. Whose age is exactly in the middle of all five?
a) Mala        b) Gopal         c) Ram         d) Alka
4. Who is the eldest?
a) Alka          b) Mala          c) Kapil        d) Gopal
5. Who is the youngest?
a) Mala          b) Ram          c) Alka         d) Kapil

Statements
Read the given statements and answer the given questions:-
Neena, Madhu and Payal can play Tabla.
Neena, Madhu, Salma can play guitar.
Neena, Salma, Seema can dance.
Seema, Neena, Madhu can sing.

1. Who can play guitar, dance and sing?
a) Neena      b)Seema     c)Madhu      d)Salma
2. Who can dance and sing but can not play guitar ?
a) Neena     b)Seema      c)Salma       d)Madhu
3. Who can play guitar and sing but can not dance?
a)Payal        b)Madhu       c)Salma     d)Neena
4. Who can play guitar, dance and sing and play Tabla?
a)Payal        b)Neena       c)Madhu     d)Seema
5. Who can play Tabla only?
a)Payal       b)Madhu       c)Neena     d)Salma
6. Who can play guitar but cannot sing?
a)Salma       b)Madhu       c)Neena     d)Payal

Quantitative Reasoning Worksheet 1

2012-12-08T12:36:00.001+05:30

Choose the correct answer

1.Euler’s formula for convex surface is
V + F = E + 2, where V=vertices, F=faces and E= edges

If number of faces in a cuboid are 6, number of vertices are 8, then number of edges will be
(a) 12               (b)14               (c)10              (d)8

2. A waiter's salary consists of his salary and tips. During one week his tips were 5/4 of his salary. What fraction of his income came from tips?
a) 4/9               b) 5/4               c) 5/8            d) 5/9

3. Three friends had dinner at a restaurant. When the bill was received, Amita paid 2/3 as much as Veena paid and Veena paid 1/2 as much as Tanya paid. What fraction of the bill did Veena pay?
a) 1/3               b) 3/11            c) 12/31          d)   ⅝

4. If A finishes a piece of work in 10 days then 1 day work of A will be-
a) 1                  b) 1/10            c) 1/5              d) ½

5. If 5:4 = x:20 then x will be

a) 16                 b) 5                c) 4                 d) 25
6. In a city 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2:3, then what percent of the population is literate?
a) 20                 b) 25              c) 50                d) 75

7. A, B, C, D and E play a game of cards. A says to B,"If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have?
a) 22                b) 23                c) 25             d) 35

8. There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there?
a) 20                b)30                 c) 50             d) 60

9. A father is now three times as old as his son. Five years back, he was four times as old as his son. The age of son in years is
a) 12               b)15                 c) 18             d) 20

10. If + means 'divided by', - means 'added to', x means 'subtracted from' and / means 'multiplied by', then what is the value of 24 / 12 - 18 + 9 ?
a) -25 b) 0.72 c)15.30 d) 290

Supporting Material for CBSE PSA for Class 11 by DOE

2012-12-06T21:20:00.000+05:30

Support Material for class 9 for CBSE PSA by DOE

2012-12-06T21:12:00.001+05:30

Problem Solving Assessment PSA

2012-12-02T11:27:00.000+05:30

The Board (CBSE) is planning to initiate a `Problem Solving Assessment’ (CBSE- PSA) for students of Classes IX and XI from the second term of this session 2012-13.
The features of the `Problem Solving Assessment’ (CBSE-PSA) will be as follows:
1. It will be compulsory for all students of Classes IX and XI and carry 90 marks. There will be 60 items of MCQ type.
2. There is no specific syllabus for `Problem Solving Assessment’ (CBSE-PSA). It will assess the following areas:-
Quantitative Reasoning
Qualitative Reasoning
Language Conventions
3. The items will incorporate aspects of 21st Century Skills (Creative Thinking, Decision Making, Critical Thinking, Problem Solving, and Communication) that lead to success at Secondary Stage. They would be assessing student’s ability to process, interpret and use information rather than assessing student’s prior subject matter knowledge.
4. The Assessment in language will contain items that will assess grammar, usage, vocabulary in context and passage-completion.
5. The items in Problem Solving Assessment’ (CBSE-PSA)will be designed in such a way so as to improve the generic and higher order thinking skills. This will also result in improving scores within the core school subjects.
6. All items will be prepared in Hindi and English.
7. The `Problem Solving Assessment’ (CBSE-PSA) will be held on 14 February 2013 (Thursday) from 10.00 AM to 11.30 AM
8. The `Problem Solving Assessment’ (CBSE-PSA) will be counted towards FA-4 which is 10% of total assessments of Class IX. This assessment will also be carried forward towards the FA-4 in Class X.This score will be reflected in one Language (English or Hindi), Mathematics, Science and Social Science w.e.f the session 2012- 2013 for Class IX and 2013 – 14 for Class X. The same score will be reflected in FA- 4 for class IX and Class X.
9. The students will have the option to improve their PSA Score in Class X, as they can sit for the test with Class IX students of the Session 2013-2014 in January – February 2014. The best scores will be reflected in the final certificate in case of those applying for improvement. Problem Solving Assessment (PSA)
10. Three parts of the paper will include Quantitative reasoning : which includes the reasoning seen in the Humanities, Arts and Social Sciences Qualitative reasoning : which includes the kinds of reasoning found in Mathematics and Science Language Conventions: which includes different aspects of written communication (e.g. grammar, vocabulary etc.)
11. The Class XI students will get a certificate on the `Problem Solving Assessment’ (CBSE-PSA).
12. No separate registration for PSA is required. Students already registered for class IX and XI with the Board are eligible for this test and will use same registration number for PSA. There is no separate roll number required for this purpose.
13. There will be a single question paper covering qualitative reasoning, quantitative reasoning and language conventions as per the details given in the earlier circulars. The OMR answer sheet to be used for answering the questions will be kept inside the question paper booklet.
14. Sample question paper for PSA will be made available on Board’s website by last week of November, 2012. You may download this material.
The information is available on CBSE's official Website.

Worksheet 1 Areas of parallelograms and triangles Class 9

2012-11-26T21:57:00.000+05:30

Worksheet 2 Circles Class 10

2012-11-26T10:21:00.001+05:30

Worksheet 2 Quadratic Equations

2012-11-23T13:00:00.001+05:30

Worksheet 1 Circles Class 10

2012-11-22T19:10:00.002+05:30

Worksheet 2 Coordinate Geometry Class 10

2012-11-20T15:41:00.000+05:30

Worksheet 1 Coordinate Geometry Class 10

2012-11-19T20:38:00.000+05:30

Assignment 1 Quadrilaterals Class 9

2012-10-30T22:01:00.003+05:30

Assignment 2 Linear equations in two variables Class 9

2012-10-29T22:38:00.000+05:30

1. The graph of equation y-x = 0 passes through:
• 1st quadrant and 3rd quadrant
• 1st quadrant and 2nd quadrant
• 1st quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

2. The graph of equation x = 3 passes through:
• 1st quadrant and 3rd quadrant
• 2nd quadrant and 4th quadrant
• 1st quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

3. The graph of equation y = 2x passes though:
• 1st quadrant and 3rd quadrant
• 1st quadrant and 2nd quadrant
• 2nd quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

4. The graph of equation –y = x passes though:
• 1st quadrant and 3rd quadrant
• 2nd quadrant and 4th quadrant
• 1st quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

5. The graph of equation y + 2x = 0 passes through:
• 1st quadrant and 3rd quadrant
• 2nd quadrant and 4th quadrant
• 1st quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

6. The graph of equation x – 2y = 0 passes through:
• 1st quadrant and 3rd quadrant
• 2nd quadrant and 4th quadrant
• 1st quadrant and 4th quadrant
• 2nd quadrant and 3rd quadrant

7. The graph of equation 3x + 2y = 7 passes through:
• 1st quadrant, 2nd quadrant and 3rd quadrant
• 1st quadrant, 2nd quadrant and 4th quadrant
• 1st quadrant, 3rd quadrant and 4th quadrant
• 2nd quadrant, 3rd quadrant and 4th quadrant

Assignment 1 Linear equations in two variables Class 9

2012-10-29T22:36:00.000+05:30

Worksheet 3 Arithmetic Progression Class 10

2012-10-29T22:06:00.000+05:30

Worksheet 2 Arithmetic Progression Class 10

2012-10-29T21:01:00.002+05:30