NCERT Solutions for Class 5 Maths Chapter 2

NCERT Solutions for Class 5 Maths Chapter 2 – Shapes and Angles from Math-Magic are available in both English and Hindi Medium, updated for the 2025–26 session, absolutely free. This chapter introduces students to different shapes and angles in an engaging and interactive way.

Through 3D images and practical examples, students learn how to identify and calculate angles in real-life situations. Topics include finding the angle made by the hands of a clock, the angle between the thigh and abdomen, and other everyday applications of geometry. By practicing these solutions, Class 5 students gain a clear understanding of shapes, angles, and their calculations, enabling them to solve related questions with confidence.

NCERT Solutions for Class 5 Maths Chapter 2 PDF

Here is free pdf for ncert solutions for class 5 maths chapter 2: 

NCERT Solutions for Class 5 Maths Chapter Shapes and Angles Question and Answer

Question 1: Look at the following shapes. Which of them have angles?

Solution:

Triangle – Has 3 angles

Square – Has 4 angles

Circle – No angles

Rectangle – Has 4 angles

Pentagon – Has 5 angles

Answer: All closed polygons (triangle, square, rectangle, pentagon, etc.) have angles. Circle has no angle.

Question 2: The hands of a clock show 3 o’clock. What angle do they make?

Solution: At 3 o’clock, the hour hand is on 3 and the minute hand is on 12.

The angle between them = 90°

Answer: The hands of the clock make a right angle (90°).

Question 3: Which angle is smaller – angle made at 2 o’clock or angle made at 5 o’clock?

Solution:

At 2 o’clock, angle = 60°

At 5 o’clock, angle = 150°

Answer: The angle at 2 o’clock (60°) is smaller.

Question 4: When you sit on a chair, what angle is formed between your thigh and abdomen?

Solution:
When sitting straight, the thigh and abdomen form an angle of about 90°.

Answer: Approximately 90° (Right Angle).

Question 5: Which of the following is a straight angle?
a) 45°
b) 90°
c) 180°
d) 270°

Solution:

A straight angle = 180°

Answer: (c) 180°

Question 6: Name the type of angle for the following:

Less than 90°

Exactly 90°

Between 90° and 180°

Exactly 180°

Solution:

Less than 90° → Acute Angle

Exactly 90° → Right Angle

Between 90° and 180° → Obtuse Angle

Exactly 180° → Straight Angle

Answer: Acute, Right, Obtuse, Straight

Question 7: Identify the type of angle formed when the clock shows:

12:00

6:00

9:00

Solution:

12:00 → 0° (No angle)

6:00 → 180° (Straight angle)

9:00 → 90° (Right angle)

Answer: 0°, 180°, 90°

Question 8: Draw a triangle. How many angles does it have?

Solution: A triangle has 3 sides and 3 angles.

Answer: A triangle always has 3 angles.

Question 9: How many right angles are there in a rectangle?

Solution: A rectangle has 4 corners, and each corner forms a right angle (90°).

Answer: A rectangle has 4 right angles.

Question 10: What type of angle is formed by:
a) A book kept closed?
b) A book kept fully open on a table?
c) The corner of a square tile?

Solution:
a) Book kept closed → 0° angle (no angle)
b) Book kept fully open → 180° (straight angle)
c) Corner of a square tile → 90° (right angle)

Answer: 0°, 180°, 90°

Question 11: A boy rotates his arm:

Half a turn → What angle is formed?

One full turn → What angle is formed?

Solution:

Half a turn = 180° (Straight angle)

One full turn = 360° (Complete angle)

Answer: Half turn → 180°, Full turn → 360°

Question 12: Which shapes have only right angles?

Square

Rectangle

Triangle

Circle

Solution:

Square → 4 right angles

Rectangle → 4 right angles

Triangle → Can have right angle but not all

Circle → No angle

Answer: Square and Rectangle

Question 13: At 4 o’clock, what type of angle is made between the hands of the clock?

Solution: At 4 o’clock, the hands form a 120° angle.

Since it is greater than 90° but less than 180°, it is an Obtuse Angle.

Answer: Obtuse Angle (120°)

Question 14: If an angle is less than a right angle, what is it called? Give an example.

Solution: Angle less than 90° is called an Acute Angle.

Example: Angle of 45°.

Answer: Acute Angle (Example: 45°)

Question 15: Look at the English letter L. Which type of angle does it show?

Solution: The letter L makes a right angle (90°).

Answer: Right Angle