NCERT Solutions for Class 5 Mathematics Chapter 3: Angles as Turns

This worksheet provides NCERT Solutions for Class 5 Mathematics, Chapter 3: Angles as Turns. This worksheet helps students understand how angles are formed through turns in daily life, such as movements of clock hands, wheels, and objects. The chapter is important because it builds a strong foundation in understanding angles, direction, and measurement using simple real-life examples. This worksheet provides complete and accurate NCERT solutions aligned with the textbook structure and learning objectives.

Chapter summary: stories, poems & themes

This chapter is activity-based and uses real-life examples and visual understanding to explain angles as turns. Students observe movements like full turn, half turn, and quarter turn through objects such as fans, wheels, and clock hands. The chapter focuses on understanding how angles are formed using turning movements and introduces concepts like acute, right, obtuse, and straight angles through practical activities and visual observation.

What does this NCERT chapter cover?

• Understanding full turn, half turn, and quarter turn  
• Identifying turns in everyday objects  
• Learning types of angles like acute, right, obtuse, and straight  
• Measuring turns using simple tools and visual methods  
• Understanding clockwise and anti-clockwise direction  
• Developing observation and reasoning skills through activities  

How to use these NCERT solutions?

Students should first attempt all questions independently and then refer to these NCERT Solutions to check their answers. Parents and teachers can guide children in understanding mistakes and improving accuracy. The solutions follow the exact NCERT sequence and structure, which helps in proper revision and concept clarity. This worksheet can be used for practice, homework, and exam preparation.

Student tips & learning tricks

• Observe real-life objects like clocks and doors to understand turns better.
• Remember that 2 half turns make a full turn.
• Practice identifying angle types using visual examples.
• Avoid confusing clockwise and anti-clockwise directions.
• Use simple tools or drawings to understand turns clearly  

Why are NCERT solutions important?

NCERT Solutions help students build strong conceptual understanding based on the official curriculum. They ensure that answers are accurate and aligned with NCERT expectations. These solutions improve problem-solving skills, boost confidence, and help students perform better in exams and assessments.

Complete answer key – NCERT solutions

Discussion

Explanation:
1. The child who returns to the same position has made a full turn. 
2. The child who turns halfway (semicircle) has made a half turn. 
3. Examples of turns: fan, wheel, clock hands, steering wheel  

Giant wheel

1. 2 half turns = 1 full turn  
2. 2 quarter turns = 1 half turn  
3. 4 quarter turns = 1 full turn  

2. taps, fan, wheel, steering wheel and lid  

3.  
Clothes clip – Less than 1/4 turn  
Door with hinge – More than 1/4 turn  
Tongs – Less than 1/4 turn  
Scissors – More than 1/4 turn  
File cover – More than 1/4 turn  

4. Door with hinge, scissors

5. Fan, wheel, steering wheel  

6. Straight angle  

Let us do

a  

Explanation:
Fold a rectangular paper at equal intervals, paste sticks, and open the fan to show acute and obtuse angles.  

Yes, two acute angles can form: 
- an acute angle (if sum < 90°)  
- a right angle (if sum = 90°)  
- an obtuse angle (if sum > 90°)  

b  

A – obtuse  
B – right  
C – acute  
D – acute  
E – acute  
F – right  
G – right  
H – obtuse  

c  

student-generated activity  

d  

1. Acute  
2. Right  
3. Obtuse  
4. Obtuse  
5. Straight  

Angle measuring tool

Explanation:
Make a circular tool divided into equal parts, fix a straw at the centre, and rotate it to show different turns like 1/8, 1/4, 1/2, etc. 

2/8 turn = 1/4 turn (Right angle).
4/8 turn = 1/2 turn (Straight angle)  

Let us think

1. Starting point is opposite to the arrow direction.

Let us do

1. 
30°, 45°, 50°, 70° → Acute  
90° → Right  
110°, 120° → obtuse 

2.  
(a) 3/8  
(b) 1/8  
(c) 5/8  
(d) 9/8  

3.  
Measure multiple angles using measuring tools.

4.  
1/2 turn → Straight angle  
1/4 turn → Right angle  
1/8 turn → Acute angle  
1/12 turn → Acute angle  

5.  
student-generated activity  

6.  
(a) 1/4 turn  
(b) 1/2 turn  
(c) 3/4 turn  
(d) 5 minutes  
(e) 60 minutes  
(f) 10 minutes  
(g) 20 minutes  

Which direction

Clockwise  
Clockwise  
Anti-clockwise  
Anti-clockwise  

Try these

Explanation:
Observe real-life movements like opening taps, lids, or nuts to identify clockwise or anticlockwise direction.

Fun with turns

1. 
South  
North  
East  
West  
East  
South  
South  

2.  
If she takes a half turn clockwise, she will face the ice cream vendor. She can take a half turn anticlockwise to face the same place. 

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