NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 9: Perimeter and AreaMultiple Choice Questions
Class 7 - Mathematics - Unit 9: Perimeter and Area
Question. 1
1. Observe the shapes 1, 2, 3 and 4 in the figures. Which of the following statements is not correct?
(a) Shapes 1, 3 and 4 have different areas and different perimeters.
(b) Shapes 1 and 4 have the same area as well as the same perimeter.
(c) Shapes 1, 2 and 4 have the same area.
(d) Shapes 1, 3 and 4 have the same perimeter.
Open
Question. 2
2. A rectangular piece of dimensions 3 cm × 2 cm was cut from a rectangular sheet of paper of dimensions 6 cm × 5 cm (Fig. 9.14). Area of remaining sheet of paper is
(a) 30 cm²
(b) 36 cm²
(c) 24 cm²
(d) 22 cm²
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Question. 3
3. 36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is
(a) 12 units
(b) 26 units
(c) 24 units
(d) 36 units
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Question. 4
4. A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is
(a) 22 cm
(b) 14 cm
(c) 11 cm
(d) 7 cm
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Question. 5
5. Area of the circle obtained in Question 4 is
(a) 196 cm²
(b) 212 cm²
(c) 616 cm²
(d) 644 cm²
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Question. 6
6. Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14 cm × 11 cm, then radius of the circle is
(a) 21 cm
(b) 10.5 cm
(c) 14 cm
(d) 7 cm
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Question. 7
7. Area of shaded portion in Fig. 9.15 is
(a) 25 cm²
(b) 15 cm²
(c) 14 cm²
(d) 10 cm²
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Question. 8
8. Area of parallelogram ABCD (Fig. 9.16) is not equal to
(a) DE × DC
(b) BE × AD
(c) BF × DC
(d) BE × BC
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Question. 9
9. Area of triangle MNO of Fig. 9.17 is
(a) \( \tfrac{1}{2} MN \times NO \)
(b) \( \tfrac{1}{2} NO \times MO \)
(c) \( \tfrac{1}{2} MN \times OQ \)
(d) \( \tfrac{1}{2} NO \times OQ \)
Open
Question. 10
10. Ratio of area of \( \triangle MNO \) to the area of parallelogram MNOP in the same figure 9.17 is
(a) 2 : 3
(b) 1 : 1
(c) 1 : 2
(d) 2 : 1
Open
Question. 11
11. Ratio of areas of \( \triangle MNO, \triangle MOP \) and \( \triangle MPQ \) in Fig. 9.18 is
(a) 2 : 1 : 3
(b) 1 : 3 : 2
(c) 2 : 3 : 1
(d) 1 : 2 : 3
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Question. 12
12. In Fig. 9.19, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4 cm respectively. If EF = 10 cm, then area of EFGH is
(a) 20 cm²
(b) 32 cm²
(c) 40 cm²
(d) 80 cm²
Open
Question. 13
13. In reference to a circle the value of \( \pi \) is equal to
(a) \( \tfrac{\text{area}}{\text{circumference}} \)
(b) \( \tfrac{\text{area}}{\text{diameter}} \)
(c) \( \tfrac{\text{circumference}}{\text{diameter}} \)
(d) \( \tfrac{\text{circumference}}{\text{radius}} \)
Open
Question. 14
14. Circumference of a circle is always
(a) more than three times of its diameter
(b) three times of its diameter
(c) less than three times of its diameter
(d) three times of its radius
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Question. 15
15. Area of triangle PQR is 100 cm² (Fig. 9.20). If altitude QT is 10 cm, then its base PR is
(a) 20 cm
(b) 15 cm
(c) 10 cm
(d) 5 cm
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Question. 16
16. In Fig. 9.21, if PR = 12 cm, QR = 6 cm and PL = 8 cm, then QM is
(a) 6 cm
(b) 9 cm
(c) 4 cm
(d) 2 cm
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Question. 17
17. In Fig. 9.22, ΔMNO is a right-angled triangle. Its legs are 6 cm and 8 cm long. Length of perpendicular NP on the side MO is
(a) 4.8 cm
(b) 3.6 cm
(c) 2.4 cm
(d) 1.2 cm
Open
Question. 18
18. Area of a right-angled triangle is 30 cm². If its smallest side is 5 cm, then its hypotenuse is
(a) 14 cm
(b) 13 cm
(c) 12 cm
(d) 11 cm
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Question. 19
19. Circumference of a circle of diameter 5 cm is
(a) 3.14 cm
(b) 31.4 cm
(c) 15.7 cm
(d) 1.57 cm
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Question. 20
20. Circumference of a circle disc is 88 cm. Its radius is
(a) 8 cm
(b) 11 cm
(c) 14 cm
(d) 44 cm
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Question. 21
21. Length of tape required to cover the edges of a semicircular disc of radius 10 cm is
(a) 62.8 cm
(b) 51.4 cm
(c) 31.4 cm
(d) 15.7 cm
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Question. 22
22. Area of circular garden with diameter 8 m is
(a) 12.56 m²
(b) 25.12 m²
(c) 50.24 m²
(d) 200.96 m²
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Question. 23
23. Area of a circle with diameter ‘m’ radius ‘n’ and circumference ‘p’ is
(a) 2πn
(b) πm²
(c) πp²
(d) πn²
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Question. 24
24. A table top is semicircular in shape with diameter 2.8 m. Area of this table top is
(a) 3.08 m²
(b) 6.16 m²
(c) 12.32 m²
(d) 24.64 m²
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Question. 25
25. If 1m² = x mm², then the value of x is
(a) 1000
(b) 10000
(c) 100000
(d) 1000000
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Question. 26
26. If p squares of each side 1 mm makes a square of side 1 cm, then p is equal to
(a) 10
(b) 100
(c) 1000
(d) 10000
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Question. 27
27. 12 m² is the area of
(a) a square with side 12 m
(b) 12 squares with side 1 m each
(c) 3 squares with side 4 m each
(d) 4 squares with side 3 m each
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Question. 28
28. If each side of a rhombus is doubled, how much will its area increase?
(a) 1.5 times
(b) 2 times
(c) 3 times
(d) 4 times
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Question. 29
29. If the sides of a parallelogram are increased to twice its original lengths, how much will the perimeter of the new parallelogram be?
(a) 1.5 times
(b) 2 times
(c) 3 times
(d) 4 times
Open
Question. 30
30. If radius of a circle is increased to twice its original length, how much will the area of the circle increase?
(a) 1.4 times
(b) 2 times
(c) 3 times
(d) 4 times
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Question. 31
31. What will be the area of the largest square that can be cut out of a circle of radius 10 cm?
(a) 100 cm²
(b) 200 cm²
(c) 300 cm²
(d) 400 cm²
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Question. 32
32. What is the radius of the largest circle that can be cut out of the rectangle measuring 10 cm in length and 8 cm in breadth?
(a) 4 cm
(b) 5 cm
(c) 8 cm
(d) 10 cm
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Question. 33
33. The perimeter of the figure ABCDEFGHIJ is
(a) 60 cm
(b) 30 cm
(c) 40 cm
(d) 50 cm
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Question. 34
34. The circumference of a circle whose area is 81πr², is
(a) 9πr
(b) 18πr
(c) 3πr
(d) 81πr
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Question. 35
35. The area of a square is 100 cm². The circumference (in cm) of the largest circle cut out of it is
(a) 5π
(b) 10π
(c) 15π
(d) 20π
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Question. 36
36. If the radius of a circle is tripled, the area becomes
(a) 9 times
(b) 3 times
(c) 6 times
(d) 30 times
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Question. 37
37. The area of a semicircle of radius 4r is
(a) 8πr²
(b) 4πr²
(c) 12πr²
(d) 2πr²