Printable Textbook: Shapes and Views - Level 4 | Mental Maths - Class 1 PDF Download

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Shapes and Views
(Refer to the chapter # 1, 5 and 8 of the NCERT Maths Book of Class IV)
Summary
• Circle: A circle is a round shape which has all 
its points at a same distance from the centre. In 
the figure, point A is the centre of the circle.
 The distance of any point on the circle from its 
centre is called its radius . In the figure, length of 
AP is radius.
• This is a Dice.
 The number on the opposite faces of a dice add up to 7.
• A Cuboid looks like a rectangular box. It has six faces.
A P
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Shapes and Views
(Refer to the chapter # 1, 5 and 8 of the NCERT Maths Book of Class IV)
Summary
• Circle: A circle is a round shape which has all 
its points at a same distance from the centre. In 
the figure, point A is the centre of the circle.
 The distance of any point on the circle from its 
centre is called its radius . In the figure, length of 
AP is radius.
• This is a Dice.
 The number on the opposite faces of a dice add up to 7.
• A Cuboid looks like a rectangular box. It has six faces.
A P
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• A Cube is a cuboid with all equal sides. It has six faces.
• A Cylinder looks like a pipe. It has a round base.
• A Cone has a shape of an ice-cream or a birthday cap.
• Things look quite different in shape and size when looked from different 
directions, distances and heights.
• A minimum of three views namely Front view, Top view and Side view, 
are needed to describe any solid object .
Questions
1. (i)   Things appear  when we look from a height. 
(ii) A railway track seems  when looked at from a distance.
(iii) Things nearer to eye appear .
(iv) A candle looks long from near. How would it appear from distance?
 (a) long (b) wide (c) small
(v) The size of a circle depends on its  .
2. How many centres does a circle have?
3. Using a centre, how many circles can be drawn?
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Shapes and Views
(Refer to the chapter # 1, 5 and 8 of the NCERT Maths Book of Class IV)
Summary
• Circle: A circle is a round shape which has all 
its points at a same distance from the centre. In 
the figure, point A is the centre of the circle.
 The distance of any point on the circle from its 
centre is called its radius . In the figure, length of 
AP is radius.
• This is a Dice.
 The number on the opposite faces of a dice add up to 7.
• A Cuboid looks like a rectangular box. It has six faces.
A P
36
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S
• A Cube is a cuboid with all equal sides. It has six faces.
• A Cylinder looks like a pipe. It has a round base.
• A Cone has a shape of an ice-cream or a birthday cap.
• Things look quite different in shape and size when looked from different 
directions, distances and heights.
• A minimum of three views namely Front view, Top view and Side view, 
are needed to describe any solid object .
Questions
1. (i)   Things appear  when we look from a height. 
(ii) A railway track seems  when looked at from a distance.
(iii) Things nearer to eye appear .
(iv) A candle looks long from near. How would it appear from distance?
 (a) long (b) wide (c) small
(v) The size of a circle depends on its  .
2. How many centres does a circle have?
3. Using a centre, how many circles can be drawn?
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4. At which point do we have to keep our finger below the plate to balance  
it properly?
5. Two circles are drawn from the same centre and having different radii. 
The difference of two radii is 5 cm. What is the radius of the outer circle, if 
radius of inner circle is 15 cm?
6. What is the length of two radii OA and OB in the given figure?
7. What is the length of AB in the given figure?
8. What is the radius of bigger circle if all the inner circles have same radius 
of 5 cm?
A
O B
4 cm
A
O
6 cm
P
B
C
5cm
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35
 
Shapes and Views
(Refer to the chapter # 1, 5 and 8 of the NCERT Maths Book of Class IV)
Summary
• Circle: A circle is a round shape which has all 
its points at a same distance from the centre. In 
the figure, point A is the centre of the circle.
 The distance of any point on the circle from its 
centre is called its radius . In the figure, length of 
AP is radius.
• This is a Dice.
 The number on the opposite faces of a dice add up to 7.
• A Cuboid looks like a rectangular box. It has six faces.
A P
36
M E
N
T
A
L
M
A
T H
S
• A Cube is a cuboid with all equal sides. It has six faces.
• A Cylinder looks like a pipe. It has a round base.
• A Cone has a shape of an ice-cream or a birthday cap.
• Things look quite different in shape and size when looked from different 
directions, distances and heights.
• A minimum of three views namely Front view, Top view and Side view, 
are needed to describe any solid object .
Questions
1. (i)   Things appear  when we look from a height. 
(ii) A railway track seems  when looked at from a distance.
(iii) Things nearer to eye appear .
(iv) A candle looks long from near. How would it appear from distance?
 (a) long (b) wide (c) small
(v) The size of a circle depends on its  .
2. How many centres does a circle have?
3. Using a centre, how many circles can be drawn?
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4. At which point do we have to keep our finger below the plate to balance  
it properly?
5. Two circles are drawn from the same centre and having different radii. 
The difference of two radii is 5 cm. What is the radius of the outer circle, if 
radius of inner circle is 15 cm?
6. What is the length of two radii OA and OB in the given figure?
7. What is the length of AB in the given figure?
8. What is the radius of bigger circle if all the inner circles have same radius 
of 5 cm?
A
O B
4 cm
A
O
6 cm
P
B
C
5cm
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9. Choose the correct answer:
(i)  has a shape of:
 (a) cube (b) cuboid (c) cylinder
(ii)  has a shape of:
 (a) cube (b) cuboid (c) none of these
(iii)  has a shape of:
 (a) cube (b) cuboid (c) cylinder
(iv)  has a shape of:
 (a) cube (b) cuboid (c) cylinder
10. Two dice are joined together. Which shape do we get now?
11. (i)   Top view of a cube is  in shape.
(ii) Side view of a cuboid is  in shape.
(iii) Front view of    is  in shape.
(iv) Top view of    is:
 A B C
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35
 
Shapes and Views
(Refer to the chapter # 1, 5 and 8 of the NCERT Maths Book of Class IV)
Summary
• Circle: A circle is a round shape which has all 
its points at a same distance from the centre. In 
the figure, point A is the centre of the circle.
 The distance of any point on the circle from its 
centre is called its radius . In the figure, length of 
AP is radius.
• This is a Dice.
 The number on the opposite faces of a dice add up to 7.
• A Cuboid looks like a rectangular box. It has six faces.
A P
36
M E
N
T
A
L
M
A
T H
S
• A Cube is a cuboid with all equal sides. It has six faces.
• A Cylinder looks like a pipe. It has a round base.
• A Cone has a shape of an ice-cream or a birthday cap.
• Things look quite different in shape and size when looked from different 
directions, distances and heights.
• A minimum of three views namely Front view, Top view and Side view, 
are needed to describe any solid object .
Questions
1. (i)   Things appear  when we look from a height. 
(ii) A railway track seems  when looked at from a distance.
(iii) Things nearer to eye appear .
(iv) A candle looks long from near. How would it appear from distance?
 (a) long (b) wide (c) small
(v) The size of a circle depends on its  .
2. How many centres does a circle have?
3. Using a centre, how many circles can be drawn?
M E
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37
4. At which point do we have to keep our finger below the plate to balance  
it properly?
5. Two circles are drawn from the same centre and having different radii. 
The difference of two radii is 5 cm. What is the radius of the outer circle, if 
radius of inner circle is 15 cm?
6. What is the length of two radii OA and OB in the given figure?
7. What is the length of AB in the given figure?
8. What is the radius of bigger circle if all the inner circles have same radius 
of 5 cm?
A
O B
4 cm
A
O
6 cm
P
B
C
5cm
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9. Choose the correct answer:
(i)  has a shape of:
 (a) cube (b) cuboid (c) cylinder
(ii)  has a shape of:
 (a) cube (b) cuboid (c) none of these
(iii)  has a shape of:
 (a) cube (b) cuboid (c) cylinder
(iv)  has a shape of:
 (a) cube (b) cuboid (c) cylinder
10. Two dice are joined together. Which shape do we get now?
11. (i)   Top view of a cube is  in shape.
(ii) Side view of a cuboid is  in shape.
(iii) Front view of    is  in shape.
(iv) Top view of    is:
 A B C
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12. A dice is thrown and it shows like this:
(i) Which number will be on the opposite face of 5?
(ii) Which number will be at the bottom face?
(iii) What number will top face show if 4 is on the bottom face?
(iv) What will this dice look like if it is opened?
  A B C D
 For each of the given solid object, three views are also given. Categorise 
the views as TOP VIEW , FRONT VIEW and SIDE VIEW:
13. 
  A B C
3
1
4
6
2
5
343
1
1
1
456
234
6
2
2
5
6
5
4
1
5