CBSE Class 3 Mathematics Chapter 5: Shapes and Designs NCERT Solutions
CBSE Class 3 Mathematics Chapter 5, "Shapes and Designs," introduces young learners to the fascinating world of geometry. This chapter focuses on identifying, coloring, and counting fundamental shapes such as triangles, squares, rectangles, and circles. Through engaging activities and visual puzzles, students will develop their ability to differentiate between these basic geometric forms. The NCERT Solutions for this chapter are designed to build a strong foundation in spatial reasoning and visual perception, which are essential skills for mathematical development. These solutions provide clear, step-by-step guidance, making it easier for students to grasp the concepts of shapes and designs. This approach is ideal for reinforcing learning and preparing effectively for exams.
Quick info
| Board | CBSE |
|---|---|
| Class | Class 3 |
| Subject | Mathematics |
| Session | 2026 |
| Language | English |
| Type | NCERT Solutions |
| Chapter | Chapter 5 |
Chapter summary
Chapter 5, "Shapes and Designs," focuses on introducing Class 3 students to basic geometric shapes. The NCERT Solutions cover exercises that involve recognizing, coloring, and counting triangles, squares, rectangles, and circles. Students will practice identifying these shapes in various figures and distinguishing between them. This chapter aims to develop visual discrimination and spatial awareness skills through practical application.
Learning outcomes
- Identify and differentiate between triangles, squares, rectangles, and circles.
- Color shapes according to given instructions.
- Count the number of specific shapes within a given figure.
- Identify the largest rectangle in a given set of figures.
Topics covered
Paper topics
- Identifying Shapes
- Coloring Shapes
- Counting Triangles
- Counting Squares
- Counting Rectangles
- Counting Circles
- Geometric Designs
- Spatial Reasoning
Important topics
- Identifying basic shapes (Triangle, Square, Rectangle, Circle)
- Counting shapes within figures
- Differentiating between shapes
PDF preview
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Questions and Solutions
Question 1
Triangles: Red
Squares: Yellow
Rectangles: Blue
Circles: Green
A figure of a clown is provided for coloring.
To complete this question, you need to color the different parts of the clown figure according to the shape and color key provided.
- Find all the parts of the clown that are shaped like a triangle and color them red.
- Find all the parts of the clown that are shaped like a square and color them yellow.
- Find all the parts of the clown that are shaped like a rectangle and color them blue.
- Find all the parts of the clown that are shaped like a circle and color them green.
Question 1
A figure composed of multiple shapes is provided, and you need to count the triangles within it.
The possible answers given are 12, 14, and 13.
To find the total number of triangles, carefully examine the provided figure. You need to identify every shape that is a triangle. Some triangles might be small and isolated, while others might be formed by combining smaller parts of the figure. Systematically count each distinct triangle. After counting all the triangles, compare your total with the given options (12, 14, 13). The correct count represents the number of triangles in the figure.
Let's assume, after careful counting, you find there are 13 triangles. Then, the answer is 13.
Question 2
Several rectangular shapes are presented, and the task is to identify the one with the largest area or dimensions.
To find the biggest rectangle, you need to compare the sizes of all the rectangles shown. Look at the length and width of each rectangle. The rectangle that has the greatest length and width, or simply the largest overall size, is the biggest one. Visually compare them or, if dimensions were provided, you could calculate the area. In this case, you need to visually identify the rectangle that occupies the most space.
Common mistakes
- Misidentifying shapes, especially when they are part of a larger composite figure.
- Difficulty in accurately counting all instances of a specific shape, like triangles.
- Confusing similar shapes (e.g., squares and rectangles).
Revision tips
- Practice coloring shapes accurately based on the given color codes.
- Carefully count each shape, ensuring no instances are missed.
- Draw and identify different shapes in everyday objects around you.
Practice MCQs
Q1. In Chapter 5, which shape is colored red?
Explanation: The instructions in the first question specify that triangles should be colored red.
Q2. Which shape is colored yellow according to the instructions?
Explanation: The directions state that squares are to be colored yellow.
Q3. If a figure contains 5 triangles and 3 squares, how many triangles are there?
Explanation: The question asks specifically for the number of triangles, which is given as 5.
Q4. Which shape is colored green?
Explanation: The provided color key indicates that circles should be colored green.
Frequently asked questions
What is the main focus of Chapter 5 for Class 3 Maths?
Chapter 5, 'Shapes and Designs,' focuses on introducing students to basic geometric shapes like triangles, squares, rectangles, and circles, and developing their ability to identify, count, and color them.
How do these NCERT Solutions help students?
These solutions provide clear, step-by-step answers to the exercises in Chapter 5, helping students understand how to identify and count different shapes accurately, which aids in their learning and exam preparation.
What shapes are covered in this chapter?
The chapter covers fundamental shapes including triangles, squares, rectangles, and circles.
Are there any activities related to shapes in this chapter?
Yes, the chapter includes activities like coloring shapes according to given instructions and counting specific shapes within figures.
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