EduSahara™ Worksheet

Question 1

1.

The given figure consists of four small semi-circles of equal radii and two big semi-circles of equal radii. The radius of each big semi-circle is 12.00 cm which is the same as the diameter of the small semi-circle. Find the area of the shaded region

(i)

475.57 sq.cm
(ii)

452.57 sq.cm
(iii)

435.57 sq.cm
(iv)

454.57 sq.cm
(v)

426.57 sq.cm

Question 2

2.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 15 cm, then corresponding height of side QR =

(i)

18.00 cm
(ii)

15.00 cm
(iii)

10.00 cm
(iv)

20.00 cm
(v)

12.00 cm

Question 3

3.

In quadrilateral PQRS, if area is 156.69 sq.cm, height of vertex P to the diagonal QS is 7.74 cm, and height of vertex R to the diagonal QS is 9.67 cm, then diagonal QS =

(i)

15.00 cm
(ii)

18.00 cm
(iii)

13.00 cm
(iv)

23.00 cm
(v)

21.00 cm

Question 4

4.

If the length and breadth of a rectangle are 19.00 cm and 9.00 cm respectively, the length of the diagonal =

(i)

16.02 cm
(ii)

24.02 cm
(iii)

26.02 cm
(iv)

21.02 cm
(v)

18.02 cm

Question 5

5.

If the width of the ring is 4.00 cm and inner radius is 5.00 cm, the outer circle area is

(i)

266.57 sq.cm
(ii)

239.57 sq.cm
(iii)

248.57 sq.cm
(iv)

254.57 sq.cm
(v)

277.57 sq.cm

Question 6

6.

In an isosceles triangle △ABC, the corresponding height of the side BC is 10.67 cm and area is 58.66 sq.cm, then perimeter of the triangle =

(i)

38.00 cm
(ii)

32.00 cm
(iii)

40.00 cm
(iv)

30.00 cm
(v)

35.00 cm

Question 7

7.

Find the area of the shaded region

(i)

234.00 sq.cm
(ii)

233.00 sq.cm
(iii)

232.00 sq.cm
(iv)

235.00 sq.cm
(v)

236.00 sq.cm

Question 8

8.

If the side of a square is 12.00 cm, the length of the diagonal of the square =

(i)

13.97 cm
(ii)

21.97 cm
(iii)

19.97 cm
(iv)

11.97 cm
(v)

16.97 cm

Question 9

9.

In a right angled triangle △PQR, if QR = 10 cm, PQ = 11 cm are the lengths of perpendicular sides , then corresponding height of side QR =

(i)

8.00 cm
(ii)

16.00 cm
(iii)

11.00 cm
(iv)

14.00 cm
(v)

6.00 cm

Question 10

10.

In an isosceles right angled triangle △PQR, if corresponding height to the base QR is 20 cm, then side PQ =

(i)

25.00 cm
(ii)

15.00 cm
(iii)

17.00 cm
(iv)

23.00 cm
(v)

20.00 cm

Question 11

11.

If the inner side of a square path is 8.00 cm and area of the square path is 36.00 sq.cm, the area of the outer square =

(i)

100.00 sq.cm
(ii)

113.00 sq.cm
(iii)

83.00 sq.cm
(iv)

106.00 sq.cm
(v)

85.00 sq.cm

Question 12

12.

In a right angled triangle △PQR, if the area is 75 sq.cm and corresponding height of side QR = 10 cm, then corresponding height of side PQ =

(i)

20.00 cm
(ii)

12.00 cm
(iii)

18.00 cm
(iv)

10.00 cm
(v)

15.00 cm

Question 13

13.

In a right angled triangle △PQR, if the area is 170 sq.cm and corresponding height of side QR = 20 cm, then side PQ =

(i)

17.00 cm
(ii)

23.00 cm
(iii)

15.00 cm
(iv)

25.00 cm
(v)

20.00 cm

Question 14

14.

In the given figure, the radius of the circle is 15 cm. Find the area of the minor sector

(i)

183.78 sq.cm
(ii)

152.78 sq.cm
(iii)

190.78 sq.cm
(iv)

161.78 sq.cm
(v)

176.78 sq.cm

Question 15

15.

In an isosceles triangle △ABC, if base BC = 15 cm and the corresponding height is 17.46 cm, then perimeter of the triangle =

(i)

48.00 cm
(ii)

53.00 cm
(iii)

58.00 cm
(iv)

56.00 cm
(v)

50.00 cm

Question 16

16.

In △PQR, if corresponding height of side QR = 14.97 cm and area of the triangle = 82.32 sq.cm, then side QR =

(i)

8.00 cm
(ii)

6.00 cm
(iii)

14.00 cm
(iv)

16.00 cm
(v)

11.00 cm

Question 17

17.

In the given figure, the circle circumscribes a rectangle with sides 18.00 cm and 14.00 cm. Find the area of the remaining portion other than the rectangle

(i)

150.57 sq.cm
(ii)

156.57 sq.cm
(iii)

179.57 sq.cm
(iv)

130.57 sq.cm
(v)

159.57 sq.cm

Question 18

18.

Find the perimeter of the shaded region given below

(i)

149.00 m
(ii)

181.00 m
(iii)

158.00 m
(iv)

156.00 m
(v)

130.00 m

Question 19

19.

In a right angled triangle △PQR, if the area is 135 sq.cm and base QR = 15 cm, then side RP =

(i)

18.43 cm
(ii)

26.43 cm
(iii)

28.43 cm
(iv)

23.43 cm
(v)

20.43 cm

Question 20

20.

If the inner and outer radii of a ring are 6.00 cm and 10.00 cm respectively, the width of the ring is

(i)

6.00 cm
(ii)

5.00 cm
(iii)

3.00 cm
(iv)

2.00 cm
(v)

4.00 cm

Question 21

21.

In trapezium ABCD, if area is 182.56 sq.cm and lengths of the parallel sides are AB = 19.00 cm and CD = 10.00 cm, then distance between the parallel sides AB and CD =