Khan Academy Exercises and Videos

How to use the Khan Academy?

2026-10-29T03:30:44.876842

How to use the Khan Academy?

Integral of cos^3(x) | (IN accent)

2026-10-27T05:47:09.484772

Find the integral of cos^3(x) by separating one cosine factor and applying a trigonometric identity. Use substitution to turn the remaining expression into a polynomial integral.

Tree Diagrams

2026-10-27T04:45:46.443945

In this session, you will learn how to construct and read tree diagrams to systematically map out the complete sample space of an experiment. You will explore how to apply the theoretical probability formula to everyday examples like tossing coins and rolling dice. Most importantly, you will master the foundational rules of probability - learning exactly when to multiply across a single path and when to add across multiple favorable pathways.

Word problems on 6,7 digit numbers

2026-10-26T08:45:15.953984

Large numbers can feel overwhelming… but they don’t have to be. Learn to solve real-life problems involving lakhs and beyond step by step.

Convert unlike fractions into like fractions

2026-10-26T08:45:15.953984

Ever wondered how to easily compare fractions with different denominators? In this video, learn step-by-step how to convert unlike fractions into like fractions using common multiples and equivalent fractions. Concepts Covered: -Understanding Fractions: Defining unlike vs. like fractions. -Finding Common Denominators: Using common multiples of denominators. -Creating Equivalent Fractions: Multiplying both numerator and denominator by the same number. -Avoiding Common Mistakes: Ensuring fraction values remain unchanged. -Step-by-Step Examples: Working through pairs like 5/6 & 7/9 and 4/8 & 5/16

Pairing off objects from two groups

2026-10-26T08:45:15.953984

How many combinations can you make? Explore pairing objects and uncover a powerful pattern that leads to multiplication.

Interior, Exterior, and Arcs of Circle

2026-10-26T08:45:15.953984

Did you know that a point can sit inside, outside, or directly on the boundary of a circle—and that breaking a circle creates entirely new shapes called arcs? In this video, we explore fundamental geometry concepts involving circles! Concepts Covered: Point Positions: Understanding the interior (inside), exterior (outside), and points lying directly on the boundary of a circle. What is an Arc?: Understanding an arc as a curved part of a circle's boundary. Naming Arcs: Using three letters to clearly name and differentiate between multiple arcs on a circle.

Word problems on multiplication-division

2026-10-26T08:45:15.953984

Some problems need more than one operation. Learn how to break down word problems, choose the right steps, and verify your answers confidently.

Same Area, Different Perimeters

2026-10-26T06:32:18.209590

Did you know that two shapes can cover the exact same amount of space, yet require completely different amounts of ribbon to outline them? In this video, we explore the relationship between area and perimeter using simple rectangular tile examples. Concepts Covered: -Calculating area (space inside a shape) and perimeter (distance around a shape). -Comparing shapes with the same area but different perimeters. -Comparing shapes with the same perimeter but different areas. Master these foundational geometry concepts through clear, step-by-step visual examples!

Finding position of clock hands

2026-10-26T06:32:18.209590

Ever wondered why the hour hand moves slowly? Understand how clocks work and learn to read and draw time accurately.

Mirror Image and Water Reflections

2026-10-26T06:32:18.209590

Learn all about Mirror Images and Water Reflections in this easy-to-follow lesson! Discover how reflections work across vertical and horizontal lines through clear examples using shapes, letters, numbers, and practice questions. Key Topics Covered: -Mirror Images: How vertical reflection flips images from left to right while keeping top and bottom the same. -Letters & Numbers in Mirrors: Why some letters change shape while others look the same, and how words reflect as complete pictures. -Water Reflections: How horizontal reflections flip images from top to bottom while keeping left-to-right order intact. -Practice Questions: Interactive examples to help test your understanding of vertical and horizontal reflections.

Functions of a leaf

2026-10-23T08:35:06.796029

This lesson introduces students to the essential functions of leaves and explains why they are often called the food factories of plants. Students learn how leaves prepare food through photosynthesis using sunlight, water, carbon dioxide, and chlorophyll, while releasing oxygen into the atmosphere. The lesson also explores how stomata and guard cells regulate gas exchange and transpiration, and how xylem and phloem transport water, minerals, and food throughout the plant. By connecting these processes with everyday observations, students develop a deeper understanding of how leaves support the growth, survival, and overall functioning of plants.

Animal colonies and food

2026-10-23T08:35:06.796029

This lesson explores how animal colonies help organisms survive through cooperation and division of labour, using ants as the primary example. Students learn about the different roles within an ant colony, how ants communicate using pheromones to locate food, and why storing food is essential for survival. The lesson also introduces fascinating behaviours such as the mutualistic relationship between ants and aphids, and the farming practices of leaf-cutter ants that cultivate fungus for food. By connecting these real-life examples with scientific concepts, students gain an understanding of how teamwork, communication, and organised behaviour enable animal colonies to thrive.

Different methods of preparing food

2026-10-23T08:35:06.796029

This video introduces students to the different methods of preparing food and explains how each method changes the properties of food. Through familiar examples such as rice, idlis, potatoes, pakodis, peanuts, and salads, students explore the science behind boiling, steaming, fermentation, roasting, deep frying, shallow frying, and cutting or mixing foods. They learn how heat, water, steam, microorganisms, and oil affect food's texture, flavour, aroma, safety, nutrient retention, and digestibility. By connecting everyday cooking practices with simple scientific concepts, the lesson helps students understand why the same ingredients can produce foods with completely different characteristics depending on the preparation method.

Function of roots

2026-10-23T08:35:06.796029

This lesson introduces students to the vital functions of roots and explains why they are essential for plant survival. Through familiar observations and simple experiments, students learn how roots anchor plants firmly in the soil, absorb water by osmosis and essential minerals through root hairs, and transport them upward via xylem with the help of transpiration pull. The lesson also explores storage roots, showing how plants store excess food for future growth and survival. By connecting root structure with its functions, students gain a clear understanding of how roots support the growth, nourishment, and stability of the entire plant.

The Dilemma of Sugar

2026-10-23T08:35:06.796029

https://www.khanacademy.org/science/telangana-class-6-science?lang=en This lesson explores an interesting scientific puzzle—why sugar behaves like a liquid when poured but is actually a solid. Through everyday examples, students learn that sugar and salt are granular solids made of tiny solid crystals that slide over one another. The lesson then introduces the concepts of density and buoyant force to explain why some objects float while others sink, and how changing the density of water by dissolving salt can affect floating. By investigating familiar observations with scientific reasoning, students develop a deeper understanding of the properties of materials and the forces acting on objects in liquids.

Droughts - Water Scarcity

2026-10-23T08:35:06.796029

This lesson helps students understand the connected problems of water scarcity and drought and how they affect both natural systems and human communities. Students learn how prolonged low rainfall reduces soil moisture, surface water, and groundwater recharge, while excessive extraction through wells and borewells can further lower the water table. The lesson traces the wider effects of water shortages on crops, livestock, livelihoods, and communities. It concludes by introducing practical solutions such as water conservation, rainwater harvesting, groundwater recharge, drip irrigation, and sprinkler irrigation to promote responsible water management.

Tree, our house and garden as a habitat

2026-10-23T08:35:06.796029

This lesson introduces students to the concept of habitats through familiar surroundings such as trees, houses, and gardens. Students learn that a habitat is more than just a place to live—it provides the essential resources organisms need to survive. By observing how ants, birds, squirrels, insects, pets, plants, and many other organisms depend on these habitats, students discover the interconnected nature of living things. The lesson also explains how interactions such as pollination and soil improvement contribute to healthy ecosystems, and emphasises the importance of protecting habitats to conserve biodiversity and maintain the balance of nature.

Compound Percentages

2026-10-05T04:35:00.219247

Compound Percentages

Rational and Irrational Numbers

2026-10-05T04:35:00.219247

Rational and Irrational Numbers

Challenges on Line Graphs

2026-11-03T10:48:03.000000

In this exercise we will solve some challenges based on Line Graphs.

Surface Areas and Volumes - Revision Exercise 2

2026-11-03T03:05:51.000000

Surface Areas and Volumes - Revision Exercise 2

Surface area of cones

2026-11-03T03:05:49.000000

Let's solve some problems to better understand the surface area of cones.

Word problems on Surface area of hemisphere

2026-11-03T03:00:42.000000

In this exercise the students solve the worded problems where they apply formulas to find surface area hemisphere

Surface Areas and Volumes - Revision Exercise 3

2026-11-03T02:54:39.000000

Surface Areas and Volumes - Revision Exercise 3

Miscellaneous Problems on BPT and Angle Bisector Theorem

2026-11-03T02:41:57.000000

In this exercise we will solve miscellaneous problems on BPT and Angle Bisector Theorem.

Number Grid and Exploring Patterns

2026-11-03T02:32:36.000000

This exercise explores numerical and geometric relationships by using number grids to identify neighboring values and analyzing how block shapes grow or shrink in predictable sequences.

Word Problems on Factors and Multiples

2026-11-03T02:25:07.000000

In this exercise we will solve the word problems on factors and multiples.

Circle equations: Challenge

2026-11-02T21:15:32.000000

Circle equations: challenge

Right triangle and unit circle trigonometry: Challenge

2026-11-02T21:13:07.000000

Right triangle and unit circle trigonometry: Challenge

Area, volume, and angle relationships: Challenge

2026-11-02T21:11:35.000000

Area, volume, and angle relationships: challenge

Polynomial expressions, equations, and graphs: Challenge

2026-11-02T21:09:29.000000

Polynomial expressions, equations, and graphs: Challenge

Radical, rational, and absolute value expressions and equations: Challenge

2026-11-02T21:07:13.000000

Radical, rational, and absolute value expressions and equations: challenge

Exponential graphs and word problems: Challenge

2026-11-02T21:05:09.000000

Exponential graphs and word problems: Challenge

Linear and quadratic systems: Challenge

2026-11-02T21:03:35.000000

Linear and quadratic systems: challenge

Quadratic graphs: Challenge

2026-11-02T20:57:58.000000

Quadratic graphs: challenge

Quadratic word problems: Challenge

2026-11-02T20:56:07.000000

Quadratic word problems: Challenge

Solving quadratic equations: Challenge

2026-11-02T20:52:23.000000

Solving quadratic equations: Challenge

Data and distributions: Challenge

2026-11-02T20:50:22.000000

Scatterplots and distributions: challenge

Percentages and probability: Challenge

2026-11-02T20:48:40.000000

Percentages and probability: challenge