CBSE Class 4 Mathematics Chapter 8: Carts and Wheels NCERT Solutions
This chapter, 'Carts and Wheels,' for CBSE Class 4 Mathematics, introduces students to the concept of circles through practical observation and activities. The NCERT Solutions cover identifying circular objects, tracing circles using various tools like bangles, coins, and bottle caps, and understanding the difference in circle sizes. It also explores games played in circular formations and critically evaluates drawings of circles. These solutions provide step-by-step guidance to help students grasp the fundamental properties of circles and their real-world applications, aiding in effective exam preparation and conceptual clarity.
Quick info
| Board | CBSE |
|---|---|
| Class | Class 4 |
| Subject | Mathematics |
| Session | 2026 |
| Language | English |
| Type | NCERT Solutions |
| Chapter | Chapter 8 |
Chapter summary
Chapter 8, 'Carts and Wheels,' focuses on introducing the basic concept of a circle to Class 4 students. The NCERT Solutions guide students through identifying circular objects in their environment, using everyday items to trace circles, and comparing the sizes of circles formed. It also touches upon games involving circles and the visual representation of circles, encouraging observational skills and practical understanding.
Learning outcomes
- Identify circular objects in the surroundings.
- Use various objects to trace circles.
- Compare the sizes of different circles.
- Recognize the shape of a circle in games and drawings.
- Understand the practical application of circles in everyday life.
Topics covered
Paper topics
- Introduction to Circles
- Tracing Circles
- Identifying Circular Objects
- Comparing Circle Sizes
- Circles in Games
- Drawing Circles
Important topics
- Identifying circular objects
- Tracing circles with different tools
- Comparing sizes of circles
- Real-world applications of circles
PDF preview
Read page by page below. PDF is streamed from the official NCERT website — no download button on this page.
Questions and Solutions
Question 1
To answer this question, you would first make a bangle using a wire. Then, you would try to put it on your teacher's wrist. Whether your teacher can wear the bangle depends on the size of the bangle you made and the size of your teacher's wrist. If the bangle is too small, your teacher will not be able to wear it. This activity helps us understand that circles can be of different sizes.
Question 2
Besides a bangle, many other common objects around us have a circular shape or edge that can be used to trace a circle. Some examples include:
- A coin (like a rupee coin or a dollar coin)
- A bottle cap
- A pen cap
- A plate or a bowl
- A round lid from a container
- A CD or DVD
- A circular clock face
By using these objects, you can easily draw a circle in your notebook or on any flat surface.
Question 3
To answer this, you should try tracing circles with different objects you found. For example, you could use a pen cap, a coin, and a plate.
After tracing:
- The smallest circle is usually made by a small object with a narrow circular edge, such as a pen cap or a small coin.
- The biggest circle is typically made by a larger object with a wide circular edge, like a dinner plate or a large bowl.
The size of the circle you can trace depends directly on the size of the object you use.
Question 1
Many games are played by forming a circle. Besides the ones you might already know, here are a couple of examples:
- Dog in the Bone: In this game, players often sit or stand in a circle, and one person tries to grab a 'bone' from the center while others try to tag them.
- Truth and Dare: This popular game is frequently played with participants sitting in a circle. A bottle is often spun in the center, and it points to who will be asked 'Truth or Dare'.
- Ring Around the Rosie: A classic children's game where players hold hands and walk in a circle singing a rhyme.
Playing in a circle helps ensure everyone is included and can participate easily.
Question 1
To determine if a drawing is a good circle, we look for specific characteristics. A true circle has a perfectly round shape, meaning all points on its edge are the same distance from the center. When discussing drawings of circles, we should consider:
- Roundness: Does the drawing look perfectly round, or is it more like an oval or an irregular shape?
- Smoothness: Is the curved line smooth and continuous, or is it jagged or broken?
- Consistency: If you were to measure the distance from the center to different points on the edge, would it be the same?
A good drawing of a circle will be smooth, consistently round, and appear symmetrical from all directions around its center. If the drawings provided are wobbly, uneven, or look like an oval, they are not good representations of a circle.
Common mistakes
- Difficulty in distinguishing between a perfect circle and an oval shape.
- Not considering a wide enough variety of objects for tracing circles.
- Inability to accurately compare the sizes of traced circles.
Revision tips
- Actively look for circular objects around your home and school.
- Try tracing circles with different objects to see the variations.
- Discuss with friends which objects make the smallest and largest circles.
- Think about games you play that involve drawing or forming circles.
Practice MCQs
Q1. Which of the following is best used to trace a perfect circle?
Explanation: A coin has a circular edge, making it ideal for tracing a perfect circle. Other shapes like boxes, rulers, or triangles do not have a continuous curved edge.
Q2. If you use a pen cap and a dinner plate to trace circles, which will likely make the biggest circle?
Explanation: A dinner plate is significantly larger than a pen cap, so it will naturally be used to trace a much bigger circle.
Q3. Which of these is a game that often involves playing in a circle?
Explanation: The game 'Dog in the Bone' is traditionally played with participants sitting or standing in a circle.
Q4. What is the primary shape discussed in Chapter 8, 'Carts and Wheels'?
Explanation: The chapter focuses on introducing and exploring the properties and uses of circles.
Frequently asked questions
What is the main concept covered in CBSE Class 4 Maths Chapter 8?
Chapter 8, 'Carts and Wheels,' introduces students to the concept of circles, how to identify them, trace them using various objects, and compare their sizes.
How do these NCERT Solutions help students?
These solutions provide clear, rewritten answers to all questions in Chapter 8, helping students understand the concept of circles through practical examples and activities for better learning and revision.
What kind of objects can be used to trace a circle?
You can use various round objects like bangles, coins, bottle caps, plates, or even the lid of a jar to trace a circle.
Why is it important to learn about circles in Class 4?
Learning about circles helps develop observational skills, spatial reasoning, and an understanding of shapes that are fundamental in mathematics and visible everywhere in the world around us.
Content reviewed by the NCERT Help team. Editorial Team and update policy
NCERT Solutions PDF PDF on NCERT Help. URL unchanged for search indexing.