CBSE Class 4 Mathematics NCERT Solutions: Unit 8 Carts and Wheels
This unit, Carts and Wheels, for CBSE Class 4 Mathematics, delves into the fundamental concept of circles. Students will explore various round objects found in their everyday lives and learn to identify them. The unit emphasizes practical activities like tracing circles using different tools such as bangles, coins, and bowls, and understanding how to draw them. It also connects the shape of a circle to popular games, discussing why a circular formation is often preferred over a rectangular one. These NCERT Solutions provide clear, step-by-step explanations and answers to all textbook questions, aiding students in grasping the properties of circles and their applications, making it an excellent resource for exam preparation and revision.
Quick info
| Board | CBSE |
|---|---|
| Class | Class 4 |
| Subject | Mathematics |
| Session | 2026 |
| Language | English |
| Type | NCERT Solutions |
| Chapter | Unit-8 Carts And Wheels |
Chapter summary
Unit 8, Carts and Wheels, focuses on introducing Class 4 students to the concept of circles. It covers identifying round objects, using everyday items to trace and draw circles, and understanding the significance of circles in games. The solutions explain why circles are used in games and contrast them with shapes like rectangles. This unit builds foundational geometric understanding through interactive exercises.
Learning outcomes
- Identify various round objects in the surroundings.
- Understand the concept of tracing a circle.
- Use different tools to draw circles.
- Explain the significance of circles in games.
- Compare the properties of circles and rectangles in the context of games.
Topics covered
Paper topics
- Round Objects
- Tracing Circles
- Drawing Circles
- Tools for Drawing Circles
- Circles in Games
- Properties of Circles
- Comparison with Rectangles
Important topics
- Identifying Round Objects
- Tracing and Drawing Circles
- Understanding Circles in Games
- Properties of Circles vs. Rectangles
PDF preview
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Questions and Solutions
Question 1
We see many round objects in our daily lives. Here is a list of some common round things:
- Bangles
- Bread
- Glass
- Tawa (a flat griddle)
- Pressure cooker lid
- Bowl
- Wheelchair wheel
- Coins
- Drum
- Tyre
- Cup
- Plate
- Moon
- Sun
- Globe
- Ball
Question 2
- Yes, I have visited a bangle shop with my mother.
- The smallest bangle in the shop would be closest to my size.
- I can make a bangle by taking a piece of wire and bending it into a circle. If I wrap the wire around a pipe or my wrist to shape it, I can create a bangle. My teacher would likely not be able to wear this bangle because it would be made to my size, which is probably smaller than her wrist size.
Question 3
Besides a bangle, many other round objects can be used to trace a circle. Some examples include:
- Coins (like a rupee coin or a fifty paise coin)
- The rim of a glass or cup
- A bowl
- A plate
- A CD or DVD
- A tyre of a vehicle
To trace a circle, place the chosen object firmly on the paper or ground and carefully draw along its edge with a pencil or chalk. For instance, placing a coin on the notebook and tracing its edge will create a small, neat circle. Similarly, using the rim of a glass will create a larger circle.
Which thing makes the smallest circle? The coin makes the smallest circle among the common objects used for tracing.
Which thing makes the biggest circle? The glass (or a larger bowl/plate) can make a bigger circle compared to a coin or bangle.
Question 4
- Yes, I play games that often involve a circle.
- When playing games like 'chorus' or 'passing the parcel', we often sing various rhymes or songs. One popular rhyme is "Ringa Ringa Roses" or simple counting songs. A common song might be "Rain, rain go away, we children want to play."
- We make a circle in these games because a circle has no corners. This ensures that everyone stands at an equal distance from each other and from the center (if there is one), giving each player a fair chance. It creates a smooth flow for activities like passing an object or moving around.
- If a rectangle was made instead of a circle for a game, it would create problems. The corners of the rectangle would be closer to the center than the middle of the sides. This would mean players standing at different positions would have unequal distances to cover or unequal opportunities. For example, in a game like cricket, if the boundary was a rectangle, the distance from the batsman to the boundary would vary, making the game unfair.
Question 5
Besides the games mentioned, here are some other games that are often played by making circles:
- Musical Chair Race: Players walk around chairs arranged in a circle and try to grab one when the music stops.
- Passing a Parcel: A gift is passed around a circle of players while music plays.
- Duck, Duck, Goose (or variations like "chorus"): Players sit in a circle, and one person walks around tapping heads.
- Hopscotch (sometimes played with circular patterns).
- Kabaddi (the playing field often has circular markings).
Question 6
Looking at various drawings, it's important to see if they are perfectly round. Often, drawings made without proper tools might not be perfect circles.
Yes, it is possible to draw a circle on the floor using chalk. One way is to tie a piece of chalk to a string, hold the other end of the string at the center point, and then walk around keeping the string taut while drawing with the chalk. This method helps create a relatively good circle.
Similarly, a circle can be drawn in a notebook using a pencil. The best way to draw a neat circle in a notebook is by using a compass. If a compass is not available, one can trace a round object like a coin or a bangle, or carefully draw it freehand, trying to make it as round as possible.
Common mistakes
- Difficulty in distinguishing between round objects and other shapes.
- Inability to use tools effectively for drawing accurate circles.
- Not understanding the geometric reasons behind using circles in games.
Revision tips
- Actively look for and list round objects around your home and school.
- Practice drawing circles using various objects like coins, bangles, and bowls.
- Discuss with friends why circles are preferred in games like 'chorus' or 'musical chairs'.
- Try drawing a rectangle and a circle on the floor and imagine playing a game in each to see the difference.
Practice MCQs
Q1. Which of the following is a round object?
Explanation: A plate is round, while a book, pencil, and chair are not typically round.
Q2. What can be used to trace a circle?
Explanation: A compass is a tool specifically designed to draw circles. While other objects can be used to trace, a compass is the primary tool.
Q3. Why is a circle often preferred in games like musical chairs?
Explanation: A circle ensures that each participant has an equal opportunity and distance from the center or other players.
Q4. Which object would likely make the smallest circle when used for tracing?
Explanation: A coin is generally smaller than a plate, bangle, or bowl, and thus would trace the smallest circle.
Q5. What is a disadvantage of using a rectangle for certain games?
Explanation: In a rectangle, the distance from the center to different points on the boundary varies, which can make games unfair.
Frequently asked questions
What is the main topic of Unit 8 for Class 4 Maths?
Unit 8, Carts and Wheels, introduces students to the concept of circles, identifying round objects, tracing and drawing circles, and their relevance in games.
What are some everyday objects that can be used to trace a circle?
You can use objects like coins, bangles, bowls, plates, glasses, or even the rim of a cycle wheel to trace a circle.
Why is a circle used in games like 'chorus' or 'passing the parcel'?
A circle is used because it has no corners, and it ensures that every player gets an equal opportunity and fair play.
What is the difference between drawing a circle with a compass and tracing one with a bangle?
Tracing with a bangle uses the object's edge to create a circular outline. Drawing with a compass allows for precise control over the circle's size and accuracy.
How do these NCERT Solutions help with exam preparation?
These solutions provide clear, step-by-step answers to all textbook questions, helping students understand concepts like circles and their applications, which are crucial for exams.
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