NCERT Textbook: Angles as Turns

 Page 1


Note for Teachers: Encourage the learners to play the “statue” game. Learners can 
be asked to rotate themselves around and stop as the teacher announces “statue”. 
The learners can notice how much they have turned with respect to their original 
position.
Can you recognise the child in the picture who has made a full turn? Who 
has made a half turn? How do you know? Discuss in class.
Give examples of real-life situations where you observe turns.
Ashutosh and Sahana are making circles, 
each having one foot fixed and rotating at 
one spot on the ground.
Ashutosh made a complete circle by 
making a full turn. Sahana is making a 
half-moon shape with a half turn.
STATUE!
Angles as Turns
3 3
Chapter Chapter
Let us play “Statue”. 
Keep turning around ...
The minute hand makes a full turn 
when it comes back to the initial 
position.
A B C D
A B C D
Chapter-3 Angles as Turn.indd   32 Chapter-3 Angles as Turn.indd   32 7/2/2025   3:32:10 PM 7/2/2025   3:32:10 PM
Reprint 2026-27
Page 2


Note for Teachers: Encourage the learners to play the “statue” game. Learners can 
be asked to rotate themselves around and stop as the teacher announces “statue”. 
The learners can notice how much they have turned with respect to their original 
position.
Can you recognise the child in the picture who has made a full turn? Who 
has made a half turn? How do you know? Discuss in class.
Give examples of real-life situations where you observe turns.
Ashutosh and Sahana are making circles, 
each having one foot fixed and rotating at 
one spot on the ground.
Ashutosh made a complete circle by 
making a full turn. Sahana is making a 
half-moon shape with a half turn.
STATUE!
Angles as Turns
3 3
Chapter Chapter
Let us play “Statue”. 
Keep turning around ...
The minute hand makes a full turn 
when it comes back to the initial 
position.
A B C D
A B C D
Chapter-3 Angles as Turn.indd   32 Chapter-3 Angles as Turn.indd   32 7/2/2025   3:32:10 PM 7/2/2025   3:32:10 PM
Reprint 2026-27
33
A giant wheel makes a full turn when it comes back 
to the starting position E.
Reema takes two half turns in the same direction. 
It is like a ______turn.
What happens if she takes 2 quarter turns in the 
same direction? 
It is like a ______turn.
What happens if she takes 4 quarter turns in the 
same direction? 
It is like a ____ turn.
Write some of the everyday objects that involve turns. For example, taps, 
__________, __________, __________, __________, and __________.
What is the maximum possible turn in each of these cases? Check and tick.
Object
Less than a 
1
4
 turn
1
4
 turn
More than a 
1
4
 turn
Clothes clip
Door with hinge
Tongs
Scissors
File cover
• Do any of the above objects make a half turn? Write their names 
below—
 ………………………………………………………………
• Do any of the above objects make a full turn? Write their names below— 
……………………………………………………………….
Pragya joined a green and yellow straw 
with paper clips. She holds the green 
straw steady and turns the yellow 
straw around. Observe different turns 
of the yellow straw.
E
Chapter-3 Angles as Turn.indd   33 Chapter-3 Angles as Turn.indd   33 7/2/2025   3:32:10 PM 7/2/2025   3:32:10 PM
Reprint 2026-27
Page 3


Note for Teachers: Encourage the learners to play the “statue” game. Learners can 
be asked to rotate themselves around and stop as the teacher announces “statue”. 
The learners can notice how much they have turned with respect to their original 
position.
Can you recognise the child in the picture who has made a full turn? Who 
has made a half turn? How do you know? Discuss in class.
Give examples of real-life situations where you observe turns.
Ashutosh and Sahana are making circles, 
each having one foot fixed and rotating at 
one spot on the ground.
Ashutosh made a complete circle by 
making a full turn. Sahana is making a 
half-moon shape with a half turn.
STATUE!
Angles as Turns
3 3
Chapter Chapter
Let us play “Statue”. 
Keep turning around ...
The minute hand makes a full turn 
when it comes back to the initial 
position.
A B C D
A B C D
Chapter-3 Angles as Turn.indd   32 Chapter-3 Angles as Turn.indd   32 7/2/2025   3:32:10 PM 7/2/2025   3:32:10 PM
Reprint 2026-27
33
A giant wheel makes a full turn when it comes back 
to the starting position E.
Reema takes two half turns in the same direction. 
It is like a ______turn.
What happens if she takes 2 quarter turns in the 
same direction? 
It is like a ______turn.
What happens if she takes 4 quarter turns in the 
same direction? 
It is like a ____ turn.
Write some of the everyday objects that involve turns. For example, taps, 
__________, __________, __________, __________, and __________.
What is the maximum possible turn in each of these cases? Check and tick.
Object
Less than a 
1
4
 turn
1
4
 turn
More than a 
1
4
 turn
Clothes clip
Door with hinge
Tongs
Scissors
File cover
• Do any of the above objects make a half turn? Write their names 
below—
 ………………………………………………………………
• Do any of the above objects make a full turn? Write their names below— 
……………………………………………………………….
Pragya joined a green and yellow straw 
with paper clips. She holds the green 
straw steady and turns the yellow 
straw around. Observe different turns 
of the yellow straw.
E
Chapter-3 Angles as Turn.indd   33 Chapter-3 Angles as Turn.indd   33 7/2/2025   3:32:10 PM 7/2/2025   3:32:10 PM
Reprint 2026-27
34
I made a quarter (
1
4
) of a full turn, so 
it looks like a right angle.
I made less than a quarter turn, so 
it looks like an acute angle.
Now I made more than a quarter turn, 
but less than a half turn. That looks like 
an obtuse angle. 
I made two quarter turns. I wonder what 
it is called?
Angles arise in situations that involve a turn. 
 Let Us Do
It is a 
straight 
angle.
A right angle
An acute angle
An obtuse angle
(a) Making a paper fan. Take a rectangular paper, fold every 2 cm as 
shown in the picture. Paste ice cream sticks as shown below to create 
a paper fan.
 Use your paper fan to show different acute angles and obtuse angles.
1
4
5
2
3
Paste Paste
Paste Paste
Chapter-3 Angles as Turn.indd   34 Chapter-3 Angles as Turn.indd   34 7/2/2025   3:32:11 PM 7/2/2025   3:32:11 PM
Reprint 2026-27
Page 4


Note for Teachers: Encourage the learners to play the “statue” game. Learners can 
be asked to rotate themselves around and stop as the teacher announces “statue”. 
The learners can notice how much they have turned with respect to their original 
position.
Can you recognise the child in the picture who has made a full turn? Who 
has made a half turn? How do you know? Discuss in class.
Give examples of real-life situations where you observe turns.
Ashutosh and Sahana are making circles, 
each having one foot fixed and rotating at 
one spot on the ground.
Ashutosh made a complete circle by 
making a full turn. Sahana is making a 
half-moon shape with a half turn.
STATUE!
Angles as Turns
3 3
Chapter Chapter
Let us play “Statue”. 
Keep turning around ...
The minute hand makes a full turn 
when it comes back to the initial 
position.
A B C D
A B C D
Chapter-3 Angles as Turn.indd   32 Chapter-3 Angles as Turn.indd   32 7/2/2025   3:32:10 PM 7/2/2025   3:32:10 PM
Reprint 2026-27
33
A giant wheel makes a full turn when it comes back 
to the starting position E.
Reema takes two half turns in the same direction. 
It is like a ______turn.
What happens if she takes 2 quarter turns in the 
same direction? 
It is like a ______turn.
What happens if she takes 4 quarter turns in the 
same direction? 
It is like a ____ turn.
Write some of the everyday objects that involve turns. For example, taps, 
__________, __________, __________, __________, and __________.
What is the maximum possible turn in each of these cases? Check and tick.
Object
Less than a 
1
4
 turn
1
4
 turn
More than a 
1
4
 turn
Clothes clip
Door with hinge
Tongs
Scissors
File cover
• Do any of the above objects make a half turn? Write their names 
below—
 ………………………………………………………………
• Do any of the above objects make a full turn? Write their names below— 
……………………………………………………………….
Pragya joined a green and yellow straw 
with paper clips. She holds the green 
straw steady and turns the yellow 
straw around. Observe different turns 
of the yellow straw.
E
Chapter-3 Angles as Turn.indd   33 Chapter-3 Angles as Turn.indd   33 7/2/2025   3:32:10 PM 7/2/2025   3:32:10 PM
Reprint 2026-27
34
I made a quarter (
1
4
) of a full turn, so 
it looks like a right angle.
I made less than a quarter turn, so 
it looks like an acute angle.
Now I made more than a quarter turn, 
but less than a half turn. That looks like 
an obtuse angle. 
I made two quarter turns. I wonder what 
it is called?
Angles arise in situations that involve a turn. 
 Let Us Do
It is a 
straight 
angle.
A right angle
An acute angle
An obtuse angle
(a) Making a paper fan. Take a rectangular paper, fold every 2 cm as 
shown in the picture. Paste ice cream sticks as shown below to create 
a paper fan.
 Use your paper fan to show different acute angles and obtuse angles.
1
4
5
2
3
Paste Paste
Paste Paste
Chapter-3 Angles as Turn.indd   34 Chapter-3 Angles as Turn.indd   34 7/2/2025   3:32:11 PM 7/2/2025   3:32:11 PM
Reprint 2026-27
35
(b) You might have built houses 
using the hard covers of 
notebooks or cardboard pieces.
  Look at the angles marked in 
the house. What angles are 
you able to see in this house? 
Write your answers as right, 
acute or obtuse angle.
A: ______________ B: _____________ 
C: ______________ D: _____________
E: ______________ F: _____________
G: ______________ H: _____________
(c) Make a 5-sided shape with 2 right angles, 2 obtuse angles, and 1 acute 
angle in your notebook.
F
A
B
C
D
E
G
H
This shows a 
1
4
 turn, 
or a right angle.
This shows a 
1
2
 turn, 
or a straight angle.
This shows a 
3
4
 turn, which is 
more than a straight angle.
Let us look at the turns made by the paper fan, keeping one side fixed.
Make an acute turn with the straws or fan. Continue to make another acute 
turn. Can the two acute turns together make another acute turn?
Full turn
1
2
 turn
(straight 
angle)
1
4
 turn 
(right angle)
Less than 
a 
1
4
 turn 
(acute angle)
Between a 
1
4
 
and 
1
2
 turn 
(obtuse angle)
Chapter-3 Angles as Turn.indd   35 Chapter-3 Angles as Turn.indd   35 7/2/2025   3:32:11 PM 7/2/2025   3:32:11 PM
Reprint 2026-27
Page 5


Note for Teachers: Encourage the learners to play the “statue” game. Learners can 
be asked to rotate themselves around and stop as the teacher announces “statue”. 
The learners can notice how much they have turned with respect to their original 
position.
Can you recognise the child in the picture who has made a full turn? Who 
has made a half turn? How do you know? Discuss in class.
Give examples of real-life situations where you observe turns.
Ashutosh and Sahana are making circles, 
each having one foot fixed and rotating at 
one spot on the ground.
Ashutosh made a complete circle by 
making a full turn. Sahana is making a 
half-moon shape with a half turn.
STATUE!
Angles as Turns
3 3
Chapter Chapter
Let us play “Statue”. 
Keep turning around ...
The minute hand makes a full turn 
when it comes back to the initial 
position.
A B C D
A B C D
Chapter-3 Angles as Turn.indd   32 Chapter-3 Angles as Turn.indd   32 7/2/2025   3:32:10 PM 7/2/2025   3:32:10 PM
Reprint 2026-27
33
A giant wheel makes a full turn when it comes back 
to the starting position E.
Reema takes two half turns in the same direction. 
It is like a ______turn.
What happens if she takes 2 quarter turns in the 
same direction? 
It is like a ______turn.
What happens if she takes 4 quarter turns in the 
same direction? 
It is like a ____ turn.
Write some of the everyday objects that involve turns. For example, taps, 
__________, __________, __________, __________, and __________.
What is the maximum possible turn in each of these cases? Check and tick.
Object
Less than a 
1
4
 turn
1
4
 turn
More than a 
1
4
 turn
Clothes clip
Door with hinge
Tongs
Scissors
File cover
• Do any of the above objects make a half turn? Write their names 
below—
 ………………………………………………………………
• Do any of the above objects make a full turn? Write their names below— 
……………………………………………………………….
Pragya joined a green and yellow straw 
with paper clips. She holds the green 
straw steady and turns the yellow 
straw around. Observe different turns 
of the yellow straw.
E
Chapter-3 Angles as Turn.indd   33 Chapter-3 Angles as Turn.indd   33 7/2/2025   3:32:10 PM 7/2/2025   3:32:10 PM
Reprint 2026-27
34
I made a quarter (
1
4
) of a full turn, so 
it looks like a right angle.
I made less than a quarter turn, so 
it looks like an acute angle.
Now I made more than a quarter turn, 
but less than a half turn. That looks like 
an obtuse angle. 
I made two quarter turns. I wonder what 
it is called?
Angles arise in situations that involve a turn. 
 Let Us Do
It is a 
straight 
angle.
A right angle
An acute angle
An obtuse angle
(a) Making a paper fan. Take a rectangular paper, fold every 2 cm as 
shown in the picture. Paste ice cream sticks as shown below to create 
a paper fan.
 Use your paper fan to show different acute angles and obtuse angles.
1
4
5
2
3
Paste Paste
Paste Paste
Chapter-3 Angles as Turn.indd   34 Chapter-3 Angles as Turn.indd   34 7/2/2025   3:32:11 PM 7/2/2025   3:32:11 PM
Reprint 2026-27
35
(b) You might have built houses 
using the hard covers of 
notebooks or cardboard pieces.
  Look at the angles marked in 
the house. What angles are 
you able to see in this house? 
Write your answers as right, 
acute or obtuse angle.
A: ______________ B: _____________ 
C: ______________ D: _____________
E: ______________ F: _____________
G: ______________ H: _____________
(c) Make a 5-sided shape with 2 right angles, 2 obtuse angles, and 1 acute 
angle in your notebook.
F
A
B
C
D
E
G
H
This shows a 
1
4
 turn, 
or a right angle.
This shows a 
1
2
 turn, 
or a straight angle.
This shows a 
3
4
 turn, which is 
more than a straight angle.
Let us look at the turns made by the paper fan, keeping one side fixed.
Make an acute turn with the straws or fan. Continue to make another acute 
turn. Can the two acute turns together make another acute turn?
Full turn
1
2
 turn
(straight 
angle)
1
4
 turn 
(right angle)
Less than 
a 
1
4
 turn 
(acute angle)
Between a 
1
4
 
and 
1
2
 turn 
(obtuse angle)
Chapter-3 Angles as Turn.indd   35 Chapter-3 Angles as Turn.indd   35 7/2/2025   3:32:11 PM 7/2/2025   3:32:11 PM
Reprint 2026-27
36
 Angle Measuring Tool
Let us make our tool to measure turns.
(a) Cut out a circle from a tracing paper 
and fold it to make 8 equal parts.
  Attach a straw to the centre and mark 
the starting point as shown.
(b) Now, try this.
 • Show a 
1
8
 turn of the straw.
 • Show a 
2
8
 turn. Show a 
1
4
 turn. Show a 
3
8
 turn.
 •  What angle have you made with a 
2
8
 turn? A 
1
8
 turn is half of a 
quarter turn.
 • What angle have you made with a 
4
8
 turn?
  Continue turning by 
5
8
, 
6
8
, 
7
8
, and 
8
8
. Check when you have completed a  
3
4
 turn and a full turn.
  Now, cut out 
1
8
 part and 
2
8
 parts of the circle and paste them on a 
thicker paper or board. Use these as angle measuring tools.
Point
(A)
(d) Look at the angle formation between the legs of these gymnasts.
 Identify whether the angles are acute, obtuse, right or straight.
Chapter-3 Angles as Turn.indd   36 Chapter-3 Angles as Turn.indd   36 7/2/2025   3:32:11 PM 7/2/2025   3:32:11 PM
Reprint 2026-27