CBSE Class 5 Mathematics Chapter 2: Shapes and Angles NCERT Solutions

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NCERT Solutions PDF Class 5 PDF

This chapter, "Shapes and Angles," for CBSE Class 5 Mathematics, introduces students to the fundamental concepts of angles and their properties within various shapes. The NCERT Solutions provide clear explanations and step-by-step problem-solving for exercises focusing on identifying, comparing, and classifying angles. Students will learn to recognize different types of angles and understand how they relate to geometric figures. These solutions are designed to reinforce learning, build a strong foundation in geometry, and aid students in preparing effectively for their examinations by offering a comprehensive understanding of shapes and angles.

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Quick info

BoardCBSE
ClassClass 5
SubjectMathematics
Session2026
LanguageEnglish
TypeNCERT Solutions
ChapterChapter 2

Chapter summary

Chapter 2, "Shapes and Angles," for Class 5 Mathematics NCERT Solutions, covers the identification and comparison of angles in geometric figures. The exercises focus on recognizing equal angles marked in different colors within shapes and exploring how changing the angle between components like matchsticks affects the resulting shape. These solutions aim to build a foundational understanding of angles and their visual representation in geometry.

Learning outcomes

  • Understand the concept of angles in geometric shapes.
  • Identify and compare angles marked in different colors.
  • Recognize when angles within a shape are equal.
  • Explore how changing angles affects shapes.
  • Solve problems related to shapes and angles.

Topics covered

Paper topics

  • Shapes
  • Angles
  • Identifying Angles
  • Comparing Angles
  • Equal Angles
  • Geometric Figures
  • Angle Measurement (Implicit)

Important topics

  • Identifying Equal Angles
  • Comparing Angles in Shapes
  • Understanding Angle Changes

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Questions and Solutions

Question 1

Look at the shape and answer the following: Is the angle marked in colour the biggest angle?

A figure is shown with several angles marked. One angle is highlighted in a specific color.

Solution:

In the given figure, all the angles that are marked appear to be equal in measure. Therefore, the angle marked in color is not necessarily the biggest; it is equal to the other angles shown.

Question 2

Observe the angles marked with different colors in the provided figures and answer:
  1. Are the angles marked with yellow equal?
  2. Are the angles marked with green equal?
  3. Are the angles marked with blue equal?

The question is accompanied by figures showing angles marked in yellow, green, and blue.

Solution:
  1. Yes, the angles marked with yellow are equal to each other.
  2. Yes, the angles marked with green are equal to each other.
  3. Yes, the angles marked with blue are equal to each other.

By visual inspection of the provided diagrams, it can be determined that angles sharing the same color marking possess the same measure.

Question 3

Four different angles are marked in four colors. Can you find other angles which are the same as the one marked in red? Mark them in red. Do this for the other colors.

This question asks students to identify and mark other angles in a given figure that have the same measure as the angles marked in red, and to repeat this process for other colors.

Solution:

Students need to carefully examine the provided figure. They should compare the angle marked in red with all other angles in the figure. Any angle that appears to have the same opening or measure as the red angle should also be marked in red. This process should be repeated for angles marked in other colors (e.g., blue, green, yellow if present) to identify and mark all angles of equal measure within the figure.

Question 1

How many different shapes can you make by changing the angle between the matchsticks in each of these? Try.

This question encourages experimentation by asking students to determine the variety of shapes that can be formed by adjusting the angles between matchsticks arranged to form geometric figures.

Solution:

By changing the angle between the matchsticks, you can create various shapes. For example, if you use two matchsticks, you can form different angles. If you use three or more matchsticks to form a closed figure like a triangle, changing the angles between the matchsticks will result in different types of triangles (e.g., acute, obtuse, right-angled) or even quadrilaterals and other polygons, altering the overall shape.

Common mistakes

  • Confusing angles that appear similar but have different measures.
  • Difficulty in visually comparing angles without explicit markings.
  • Not understanding that angles within symmetrical shapes can be equal.

Revision tips

  • Carefully observe the diagrams provided in the questions.
  • Pay close attention to the color coding used to mark angles.
  • Practice drawing different shapes and identifying equal angles within them.
  • Relate the concept of angles to real-world objects and their shapes.

Practice MCQs

Q1. In a given shape, if angles marked with the same color appear identical, what can be concluded about them?

Q2. What is the primary focus of the exercises in the 'Shapes and Angles' chapter?

Q3. If you change the angle between matchsticks forming a shape, what is likely to happen?

Frequently asked questions

What is the main topic of CBSE Class 5 Mathematics Chapter 2?

The main topic of Chapter 2 is 'Shapes and Angles', focusing on understanding and identifying different angles within geometric figures.

How do these NCERT Solutions help Class 5 students?

These solutions provide clear, step-by-step explanations for problems related to shapes and angles, helping students grasp the concepts and prepare for exams.

Are the questions in the source document preserved in these solutions?

Yes, all the original questions from the source document are kept exactly the same, with their numbering and problem statements intact.

How are the solutions presented?

Each solution is rewritten to be more detailed and easier to understand, explaining the steps and reasoning clearly, while preserving any mathematical expressions from the original.

Important links

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NCERT Solutions PDF PDF on NCERT Help. URL unchanged for search indexing.