EduSahara™ Worksheet

Question 1

1.

In rhombus PQRS, if diagonals QS = 19.00 cm and PR = 17.75 cm, the area of the rhombus =

(i)

153.62 sq.cm
(ii)

182.62 sq.cm
(iii)

168.62 sq.cm
(iv)

160.62 sq.cm

Question 2

2.

If the length of the arc of a sector is 34.47 cm and the perimeter of the circle is 88.00 cm, the perimeter of the sector is

(i)

65.47 cm
(ii)

59.47 cm
(iii)

67.47 cm
(iv)

62.47 cm
(v)

57.47 cm

Question 3

3.

If the side of a square is 10.00 cm, the perimeter of the square =

(i)

45.00 cm
(ii)

40.00 cm
(iii)

35.00 cm
(iv)

43.00 cm
(v)

37.00 cm

Question 4

4.

In a right angled triangle △PQR, if the base QR = 18 cm and the corresponding height is 15 cm, then side RP =

(i)

20.43 cm
(ii)

18.43 cm
(iii)

23.43 cm
(iv)

28.43 cm
(v)

26.43 cm

Question 5

5.

If the perimeter of a square is 56.00 cm, the side of the square =

(i)

14.00 cm
(ii)

9.00 cm
(iii)

17.00 cm
(iv)

11.00 cm
(v)

19.00 cm

Question 6

6.

If the length and breadth of a rectangle are 17.00 cm and 15.00 cm respectively, the area of the rectangle =

(i)

231.00 sq.cm
(ii)

247.00 sq.cm
(iii)

255.00 sq.cm
(iv)

272.00 sq.cm

Question 7

7.

In the given figure, BC = 8 cm and AB = 14 cm. Find the area of the shaded region

(i)

163.29 sq.cm
(ii)

135.29 sq.cm
(iii)

148.29 sq.cm
(iv)

140.29 sq.cm
(v)

172.29 sq.cm

Question 8

8.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 14 cm, then side QR =

(i)

14.00 cm
(ii)

11.00 cm
(iii)

9.00 cm
(iv)

19.00 cm
(v)

17.00 cm

Question 9

9.

If the length and perimeter of a rectangle are 18.00 cm and 58.00 cm respectively, the length of the diagonal =

(i)

24.10 cm
(ii)

16.10 cm
(iii)

21.10 cm
(iv)

26.10 cm
(v)

18.10 cm

Question 10

10.

In an isosceles right angled triangle △PQR, if QR = 11 cm is one of the equal sides, then side RP =

(i)

20.56 cm
(ii)

12.56 cm
(iii)

18.56 cm
(iv)

15.56 cm
(v)

10.56 cm

Question 11

11.

In an isosceles triangle △ABC, if BC = 11 cm, CA = AB and perimeter is 35 cm, then corresponding height of side BC =

(i)

10.67 cm
(ii)

13.67 cm
(iii)

7.67 cm
(iv)

15.67 cm
(v)

5.67 cm

Question 12

12.

In an isosceles right angled triangle △PQR, if RP = 18.38 cm is the hypotenuse, then side PQ =

(i)

8.00 cm
(ii)

18.00 cm
(iii)

16.00 cm
(iv)

13.00 cm
(v)

10.00 cm

Question 13

13.

In a right angled triangle △PQR, if the area is 71.5 sq.cm and corresponding height of side QR = 13 cm, then side QR =

(i)

16.00 cm
(ii)

14.00 cm
(iii)

11.00 cm
(iv)

8.00 cm
(v)

6.00 cm

Question 14

14.

If the perimeter and diagonal of a rectangle are 34.00 cm and 12.04 cm respectively, the length of the rectangle =

(i)

8.00 cm
(ii)

9.00 cm
(iii)

11.00 cm
(iv)

7.00 cm
(v)

10.00 cm

Question 15

15.

Find the area of shaded region in the adjoining figure, given that DE = 14 cm, EF = 28 cm, DG = 18 cm and ∠GDE = ∠DEF = 90°.

(i)

323.00 sq.cm
(ii)

321.00 sq.cm
(iii)

324.00 sq.cm
(iv)

320.00 sq.cm
(v)

322.00 sq.cm

Question 16

16.

If the area of the inner circle of the ring is 254.57 sq.cm and area of outer circle is 314.29 sq.cm, the area of the ring is

(i)

56.71 sq.cm
(ii)

59.71 sq.cm
(iii)

64.71 sq.cm
(iv)

54.71 sq.cm
(v)

62.71 sq.cm

Question 17

17.

If the perimeter of a square is 68.00 cm, the area of the square =

(i)

295.00 sq.cm
(ii)

307.00 sq.cm
(iii)

266.00 sq.cm
(iv)

289.00 sq.cm
(v)

274.00 sq.cm

Question 18

18.

If the area of a sector of a circle is 89.79 sq.cm and the angle subtended at the center by the arc of the sector is 85.00°, the area of the circle is

(i)

394.29 sq.cm
(ii)

392.29 sq.cm
(iii)

365.29 sq.cm
(iv)

362.29 sq.cm
(v)

380.29 sq.cm

Question 19

19.

If perimeter of an equilateral triangle 30 cm, the height of the equilateral triangle =

(i)

6.66 cm
(ii)

10.66 cm
(iii)

7.66 cm
(iv)

9.66 cm
(v)

8.66 cm

Question 20

20.

If height of an equilateral triangle is 10.39 cm, the perimeter of the equilateral triangle =

(i)

39.00 cm
(ii)

36.00 cm
(iii)

33.00 cm
(iv)

31.00 cm
(v)

41.00 cm

Question 21

21.

If the area of a sector of a circle is 130.95 sq.cm and the length of the arc of the sector is 26.19 cm, the angle subtended at the center by the arc of the sector is

(i)

150.00°
(ii)

168.00°
(iii)

165.00°
(iv)

134.00°
(v)

146.00°

Question 22

22.

If the width of the ring is 4.00 cm and outer radius is 10.00 cm, the inner circle radius is

(i)

8.00 cm
(ii)

4.00 cm
(iii)

5.00 cm
(iv)

6.00 cm
(v)

7.00 cm

Question 23

23.

If the length and breadth of a rectangle are 12.00 cm and 8.00 cm respectively, the length of the diagonal =

(i)

17.42 cm
(ii)

11.42 cm
(iii)

9.42 cm
(iv)

14.42 cm
(v)

19.42 cm

Question 24

24.

In an isosceles triangle △ABC, if BC = 14 cm, AB = CA = 19 cm, then area of the triangle =

(i)

123.64 sq.cm
(ii)

147.64 sq.cm
(iii)

107.64 sq.cm
(iv)

135.64 sq.cm
(v)

98.64 sq.cm

Question 25

25.

If the radius of a circle is 15.00 cm and the area of a sector is 139.46 sq.cm, the angle subtended at the center by the arc of the sector is

(i)

71.00°
(ii)

68.00°
(iii)

66.00°
(iv)

74.00°
(v)

76.00°

Assignment Key