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Published on: 31/10/2025
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Questions + Answers key
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1.
The numerical difference between the area and circumference of a circle of radius 7 cm is:
22
220
11
110
2.
The area of a square is 100 cm2 . The circumference (in cm) of the largest circle cut out of it is
5\(\pi\)
10\(\pi\)
15\(\pi\)
20\(\pi\)
3.
The perimeter of the figure ABCDEFGHIJ is
60 cm
30 cm
40 cm
50 cm
4.
The area of a semicircle of radius 4\(\pi\) is
8\(\pi\)r2
4\(\pi\)r2
12\(\pi\)r2
2\(\pi\)r2
5.
It the radius of a circle is tripled, the area becomes
9 times
3 times
6 times
30 times
6.
What will be the area of the largest square that can be cut out of a circle of radius 10 cm?
100 cm2
200 cm2
300 cm2
400 cm2
7.
If each side of a rhombus is doubled, how which will its area increase?
1.5 times
2 times
3 times
4 times
8.
A table top is semicircular in shape with diameter 2.8 m. Area of this table top is
3.08 m2
6.16 m2
12.32 m2
24.64 m2
9.
Area of circular garden with diameter 8 m is :
12.56 m2
25.12 m2
50.24 m2
200.96 m2
10.
Length of tape required to cover the edges of a semicircular disc of radius 10 cm is
62.8 cm
51.4 cm
31.4 cm
15.7 cm
11.
Circumference of a circular disc is 88 cm. Its radius is
8 cm
11 cm
14 cm
44 cm
12.
Circumference of a circle of diameter 5 cm is
3.14 cm
31.4 cm
15.7 cm
1.57 cm
13.
Area of a right-angled triangle is 30 cm2. If its smallest side is 5 cm, then its hypotenuse is
14 cm
13 cm
12 cm
11 cm
14.
\(\Delta\)MNO is a right-angled triangle. Its legs are 6 cm and 8 cm long. Length of perpendicular NP on the side MO is
4.8 cm
3.6 cm
2.4 cm
1.2 cm
15.
If PR = 12 cm, QR = 6 cm and PL = 8 cm, then QM is
6 cm
9 cm
4 cm
2 cm
16.
Area of triangle PQR is 100 cm2 . If altitude QTis 10 cm, then its base PR is
20 cm
15 cm
10 cm
5 cm
17.
EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4 cm respectively. If EF = 10 cm, then area of EFGH is
20 cm2
32 cm2
40 cm2
80 cm2
18.
Ratio of areas of \(\Delta \)MNO and \(\Delta \)MOP in the below figure is:
2 : 1
1 : 1
2 : 3
1 : 2
19.
Ratio of area of \(\Delta \)MNO to the area of parallelogram MNOP in the below figure:
2:3
1 :1
1: 2
2 : 1
20.
Area of triangle MNO parallelogram MNOP is
\(\frac { 1 }{ 2 } \)MN x NO
\(\frac { 1 }{ 2 } \)NO x MO
\(\frac { 1 }{ 2 } \)MN x OQ
\(\frac { 1 }{ 2 } \)NO x OQ
21.
Area of parallelogram ABCD is not equal to
DE x DC
BE x AD
BF x DC
BE x BC
22.
Area of shaded portion is
25 cm2
15 cm2
14 cm2
10 cm2
23.
Area of the circle obtained in above Question is
196 cm2
212 cm2
616 cm2
644 cm2
24.
36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is :
12 units
26 units
24 units
36 units
25.
A rectangular piece of dimensions 3 cm x 2 cm was cut from a rectangular sheet of paper of dimensions 6 cm x 5 cm
Area of remaining sheet of paper is :
30 cm2
36 cm2
24 cm2
22 cm2
26.
Area of a right triangle is 54 cm2 . If one of its legs is 12 cm long, its perimeter is :
18 cm
27 cm
36 cm
54 cm
27.
What is the area of rectangle of dimensions 12 cm x 10cm?
44 cm2
120 cm2
1440 cm2
1200 cm2
28.
If each side of a square is 1 m, which of the following is its area?
10 cm2
100 cm2
1000 cm2
10000 cm2
29.
Diameter of a circular garden is 9.8 cm. Which of the following is its area?
75.46 cm2
76.46 cm2
74.4 cm2
76.4 cm2
30.
What is the area of the circle of radius 7 cm?
49 cm2
22 cm2
154 cm2
308 cm2
31.
The circumference of a circle is 44 cm. What is its radius?
42 cm
21 cm
7 cm
14 cm
32.
1 m2 =
10 cm2
100 cm2
1000 cm2
10000 cm2
33.
Perimeter of a square is :
side x side
3 x side
4 x side
2 x side
34.
The area of a circle of radius r is:
\(\pi\)r2
2\(\pi\)r2
2\(\pi\)r
4\(\pi\)r2
35.
The circumference of a circle of radius r is :
\(\pi\)r
2\(\pi\)r
\(\pi\)r2
\(\pi\)d2
36.
Area of triangle is :
base x height
\(\frac { 1 }{ 2 } \)x base x height
\(\frac { 1 }{ 3 } \)x base x height
\(\frac { 1 }{ 4 } \)x base x height
37.
Perimeter of a rectangle of length l and breadth b is:
l + b
2 x (l + b)
3 x (I + b)
I x b
38.
What will be the area of the largest square that can be cut out of a circle of radius 10 cm?
100 cm2
200 cm2
300 cm2
400 cm2
39.
If radius of a circle is increased to twice its original length, how much will the area of the circle increase?
1.4 times
2 times
3 times
4 times
40.
If the sides of a parallelogram are increased to twice of its original lengths, how much will the perimeter of the new parallelogram?
1.5 times
2 times
3 times
4 times
41.
A cow is tied with a rope of 7 m. The grass grazed field by the cow is
144 m2
140 m2
154 m2
164 m2
42.
The radii of two concentric circles are 7 m and 9 m. The area enclosed between them is
90 m2
90.47 m2
100 m2
100.48 m2
43.
In the following figure, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4 cm respectively. If EF = 10 cm, then the area of EFGH is
20 cm2
32 cm2
40 cm2
80 cm2
44.
Area of shaded portion in the following figure is
25 cm2
15 cm2
10 cm2
12 cm2
45.
Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14 cm x 11 cm, then radius of the circle is
21 cm
10.5 cm
14 cm
7 cm
46.
A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle. Then the Area of the circle is
196 cm2
212 cm2
616 cm2
644 cm2
47.
A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is
22 cm
14 cm
11 cm
7 cm
48.
Find the length of a parallelogram, whose area is 246 cm2 and base is 20 cm2.
123 cm
13.2 cm
12.3 cm
1.32 cm
49.
Find the area of a square park, whose perimeter is 96 cm.
576 cm2
626 cm2
726 cm2
748 cm2
50.
The breadth of a rectangle whose length is 12 cm and perimeter is 36 cm is
6 cm
3 cm
9 cm
12 cm
1.
(d)
110
2.
(b)
10\(\pi\)
3.
(a)
60 cm
4.
(a)
8\(\pi\)r2
5.
(a)
9 times
6.
(a)
100 cm2
7.
(d)
4 times
8.
(a)
3.08 m2
9.
(c)
50.24 m2
10.
(b)
51.4 cm
11.
(c)
14 cm
12.
(c)
15.7 cm
13.
(b)
13 cm
14.
(c)
2.4 cm
15.
(c)
4 cm
16.
(a)
20 cm
17.
(c)
40 cm2
18.
(b)
1 : 1
19.
(c)
1: 2
20.
(d)
\(\frac { 1 }{ 2 } \)NO x OQ
21.
(a)
DE x DC
22.
(d)
10 cm2
23.
(c)
616 cm2
24.
(c)
24 units
25.
(c)
24 cm2
26.
(c)
36 cm
27.
(b)
120 cm2
28.
(d)
10000 cm2
29.
(a)
75.46 cm2
30.
(c)
154 cm2
31.
(c)
7 cm
32.
(d)
10000 cm2
33.
(c)
4 x side
34.
(a)
\(\pi\)r2
35.
(b)
2\(\pi\)r
36.
(b)
\(\frac { 1 }{ 2 } \)x base x height
37.
(b)
2 x (l + b)
38.
(b)
200 cm2
39.
(d)
4 times
40.
(b)
2 times
41.
(c)
154 m2
42.
(d)
100.48 m2
43.
(c)
40 cm2
44.
(c)
10 cm2
45.
(d)
7 cm
46.
(c)
616 cm2
47.
(b)
14 cm
48.
(c)
12.3 cm
49.
(a)
576 cm2
50.
(a)
6 cm
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