NCERT Solutions for Maths Class 5 Chapter 2 Shapes and Angles - FREE PDF Download
In Chapter 2 of Class 5 Maths, "Shapes and Angles," aligned with latest CBSE Class 5 Maths Syllabus students explore the fascinating world of geometry. This chapter introduces various shapes and their properties, focusing on how angles are formed and measured. It is important to understand how to identify different types of angles, such as acute, obtuse, and right angles, as this forms the basis for more complex geometric concepts.
Table of Content
The chapter also emphasises practical learning by encouraging students to observe and draw shapes and angles in their surroundings. By focusing on activities and real-life applications, students can better grasp how geometry is used in everyday life. Paying attention to the exercises and examples provided in the Class 5 Maths NCERT solutions will help solidify these concepts.
Glance on Maths Chapter 2 Class 5 - Shapes and Angles
Basic Geometric Shapes: Learn to identify and differentiate between various shapes such as squares, rectangles, triangles, and circles.
Angles: Introduction to angles, types of angles (acute, obtuse, right), and how to measure them using a protractor.
Properties of Shapes: Understand the properties of different shapes, including sides, vertices, and symmetry.
Constructing Shapes: Practical exercises on drawing and constructing shapes using tools like rulers and compasses.
Real-life Applications: Explore how shapes and angles are used in daily life, architecture, and nature.
This article contains chapter notes, important questions, exemplar solutions, exercises and video links for Chapter 2 - Shapes And Angles, which you can download as PDFs.
1. Rohini made this shape
Now give your answer.
a. Is it a closed shape?
Ans: yes, The shape is a closed shape.
b. Does it have 6 sides?
Ans: Yes, it has 6 sides
2. Mohini tried again and This is what she made.
a. Is it a closed shape with 6 sides?
Ans: Yes, it is a closed shape with 6 sides
b. Is it the same as the one made by Rohini?
Ans: No, It is different from the shape made by Rohini
c. Is there some way to say in what way these shapes are different?
Ans: Yes, The shapes of the images are different and the angles are different in the images.
4. Look at the angles marked in these shapes. Can you see the difference?
Ans: Yes, We can see the difference between the images and the angles in the images are different.
Practice Time
1) Look at the shape and answer
a. The angle marked in ________ colour is the biggest angle.
Ans: The angle marked in Black colour is the biggest angle.
2)
(a) Are the angles marked with yellow equal? ________
(b) Are the angles marked with green equal? ________
(c) Are the angles marked with blue equal? ________
Ans:
(a) Are the angles marked with yellow equal?
Ans: Yes, Angles are equal which is marked with yellow
b) Are the angles marked with green equal?
Ans: yes, Angles are equal which is marked with green
(c) Are the angles marked with blue equal?
Ans: Yes, Angles are equal which is marked with blue
3) Four different angles are marked in four colours. Can you find other angles which are the same as the one marked in red? Mark them in red. Do this for the other colours.
Ans:
4) How many different shapes can you make by changing the angle between the matchsticks in each of these? Try.
Ans:
This is an activity for the students try with altering the matchstick and and the angle then find the number of shapes
Practice Time:
1) Look at the angles in the pictures and fill the table
Ans:
2) Sukhman made this picture with so many angles.
Ans:
3) Draw anything of your choice around the angle shown. Also, write what kind of angle it is. The first one is done.
Ans:
4) Write 3 names using straight lines and count the angles
Ans:
5)
These are two slides in an park.
a) Which slide has a large angle?
Ans: The slide on the right has a larger angle compared to the slide on the left.
b) Which slide do you think is safer for the little boy? Why?
Ans:The slide on the left is safer for the little boy. This is because it has a smaller angle, making it less steep and thus reducing the speed at which the boy would slide down.A less steep slide generally results in a slower and more controlled descent, which is safer for young children.
6) Find out how many angles are there in each of these shapes mark them.
Ans:
a) In this shape there are 4 angles
b) In this shape there are 5 angles
c) In this shape there are 6 angles
7) Find out and write your results in the table given
Ans:
Angle and Time:
1) There are many times in a day when the hands of a clock make a right angle. Now you draw some more.
Ans:
2) Write what kind of angle is made by the hands at these times. Also write the time
Ans:
3) Draw the hands of the clock when they make an angle which is less than a right angle. Also write the time.
Ans:
3) Can you guess how many degrees is the angle which is?
(i) 1/2 of a right angle .
Ans:
Right angle = $90^{\circ}$
Then,$ \dfrac{1}{2}$ of right angle is
$\dfrac{1}{2}\times 90^{\circ}$
=$45^{\circ}$
(ii) ⅓ of a right angle.
Ans:
Right angle = $90^{\circ}$
Then,$ \dfrac{1}{3}$ of right angle is
$\dfrac{1}{3}\times 90^{\circ}$
=$30^{\circ}$
(iii) 2 times of a right angle
Ans:
Right angle = $90^{\circ}$
2 times of a right angle is
$2\times 90^{\circ}$
$180^{\circ}$
Important Study Material Links for Chapter 2
Conclusion
NCERT Solutions for Class 5 Maths Chapter 2 - "Shapes and Angles" are invaluable for students to explore the fascinating world of geometry. These solutions offer a clear and concise explanation of various 2D and 3D shapes, their properties, and the concept of angles. By providing well-structured examples and exercises, students can easily grasp the concepts and strengthen their problem-solving skills. The chapter instills curiosity and understanding of geometric shapes, making mathematics enjoyable and accessible. With the free PDF download of NCERT Solutions for class 5 math chapter 2, students can access a comprehensive resource that enhances their mathematical knowledge and lays a strong foundation for further study.
Chapter-Specific NCERT Solutions for Class 5 Maths
Given below are the chapter-wise NCERT Solutions for Class 5 Maths. Go through these chapter-wise solutions to be thoroughly familiar with the concepts.
Important Related Links for CBSE Class 5 Maths
FAQs on NCERT Solutions for Class 5 Maths Chapter 2 Shapes and Angles
1. What concepts are covered in the NCERT Solutions for Class 5 Maths Chapter 2 "Shapes and Angles"?
The NCERT Solutions for Class 5 Maths Chapter 2 cover identification and properties of basic geometric shapes, understanding and measuring angles (acute, obtuse, right), differentiating between open and closed shapes, and real-world applications of shapes and angles as per CBSE 2025–26 guidelines.
2. How do the NCERT Solutions for Class 5 Maths Chapter 2 help in solving geometry problems?
The stepwise NCERT Solutions teach students how to identify different types of angles, recognize shapes based on properties such as sides and vertices, and apply these concepts to solve basic as well as application-based geometry problems aligned with the CBSE 2025–26 exam pattern.
3. What is the method to classify angles in the Class 5 Maths Chapter 2 NCERT Solutions?
Angles are classified in the NCERT Solutions based on their measure:
- Acute angle: Less than 90°
- Right angle: Exactly 90°
- Obtuse angle: More than 90° but less than 180°
4. Can I use these Class 5 Maths NCERT Solutions for self-study, or do I need guidance from a teacher?
Yes, the NCERT Solutions for Class 5 Maths Chapter 2 are written in simple language, making them suitable for self-study. Students can follow the step-by-step answers independently and clarify doubts as per the structured CBSE methodology.
5. What common mistakes should be avoided while solving shapes and angles questions in Class 5 Maths?
Students often confuse right angles with other types, miscount sides or vertices, or misidentify closed versus open figures. Carefully reading each question and applying the CBSE-recommended classification methods minimizes such mistakes in the exam.
6. How do the NCERT Solutions for Class 5 Maths Chapter 2 explain the real-life use of shapes and angles?
The solutions include examples linking geometry to daily life, such as identifying angles in clocks, architecture, playground equipment, and household objects, helping students see the practical relevance of shapes and angles.
7. How can measuring angles using a protractor be practiced with these NCERT Solutions?
Students are encouraged to practice drawing and measuring angles with a protractor as shown in the stepwise solution explanations, reinforcing correct measurement skills in line with the CBSE Class 5 Maths curriculum.
8. In what way do the solutions highlight differences between shapes with the same number of sides?
The solutions point out that even if shapes have the same number of sides, differences in angle measures can result in entirely distinct shapes (e.g., two hexagons with different angle measures), clarifying a frequent student misconception.
9. What strategies do the NCERT Solutions suggest for identifying similar and different angles in a shape?
The recommended strategy is to visually compare and mark angles of the same size and color, then verify using a protractor or geometric reasoning, as per the solution steps. This helps in systematic classification during the exam.
10. Are activities and practical questions included in Class 5 Maths Chapter 2 NCERT Solutions for enhanced understanding?
Yes, interactive activities such as making shapes with matchsticks, drawing angles, and investigating time on clocks are integrated into the NCERT Solutions, supporting hands-on learning according to the latest CBSE guidelines.
11. What should a student do if they get a different answer than in the NCERT Solutions for Class 5 Maths Chapter 2?
Students should carefully re-examine their steps, check geometric definitions and measurement accuracy, and reapply the CBSE-recommended method shown in the solution. Learning from these differences enhances conceptual clarity.
12. Why is mastering "Shapes and Angles" in Class 5 Maths important for future classes?
Understanding shapes and angles builds the foundation for advanced geometry in later classes. Mastering these concepts ensures students can tackle tougher math problems in higher grades, as required by the CBSE curriculum.
13. How are sides, vertices, and symmetry addressed in the NCERT Solutions for this chapter?
The solutions include step-by-step explanations to count sides, vertices, and identify lines of symmetry, enabling students to accurately describe shape properties as per CBSE standards.
14. What should students focus on in Class 5 Maths Chapter 2 to score well in CBSE exams?
Students should focus on identifying and classifying different angles, understanding properties of 2D shapes, accurately drawing geometric figures, and applying practical reasoning to real-life scenarios, as practiced in the NCERT Solutions for Class 5 Maths Chapter 2.
15. How do the NCERT Solutions for Class 5 Maths Chapter 2 support students in building problem-solving skills?
These solutions encourage analytical thinking by breaking down each problem into clear, logical steps and explaining the reasoning behind each answer, fostering strong foundational problem-solving skills in accordance with CBSE 2025–26 requirements.
