EduSahara™ Worksheet

Question 1

1.

If the width of the ring is 1.00 cm and outer radius is 10.00 cm, the inner circle area is

(i)

254.57 sq.cm
(ii)

258.57 sq.cm
(iii)

241.57 sq.cm
(iv)

281.57 sq.cm
(v)

232.57 sq.cm

Question 2

2.

3233052076.0482 sq.cm
=

(i)

7.32331 sq.km
(ii)

0.32331 sq.km
(iii)

8.32331 sq.km
(iv)

1.32331 sq.km
(v)

2.32331 sq.km

Question 3

3.

If the area of the inner circle of the ring is 78.57 sq.cm and area of outer circle is 254.57 sq.cm, the width of the ring is

(i)

2.00 cm
(ii)

4.00 cm
(iii)

5.00 cm
(iv)

6.00 cm
(v)

3.00 cm

Question 4

4.

Find the area of the shaded region

(i)

227.08 sq.cm
(ii)

226.08 sq.cm
(iii)

230.08 sq.cm
(iv)

229.08 sq.cm
(v)

228.08 sq.cm

Question 5

5.

If the inner length, outer breadth and width of a rectangular path are 10.00 cm, 12.60 cm and 2.80 cm respectively, the area of the rectangular path =

(i)

98.56 sq.cm
(ii)

126.56 sq.cm
(iii)

143.56 sq.cm
(iv)

132.56 sq.cm
(v)

109.56 sq.cm

Question 6

6.

In a right angled triangle △PQR, if the base QR = 20 cm and the corresponding height is 17 cm, then corresponding height of side PQ =

(i)

25.00 cm
(ii)

15.00 cm
(iii)

20.00 cm
(iv)

17.00 cm
(v)

23.00 cm

Question 7

7.

If area of the circle is 314.29 sq.cm, the diameter of the circle is

(i)

25.00 cm
(ii)

23.00 cm
(iii)

17.00 cm
(iv)

15.00 cm
(v)

20.00 cm

Question 8

8.

If the breadth and perimeter of a rectangle are 9.00 cm and 50.00 cm respectively, the area of the rectangle =

(i)

144.00 sq.cm
(ii)

152.00 sq.cm
(iii)

160.00 sq.cm
(iv)

131.00 sq.cm
(v)

128.00 sq.cm

Question 9

9.

If the inner rectangle area, outer rectangle area and width of a rectangular path are 70.00 sq.cm, 238.00 sq.cm and 3.50 cm respectively, the area of the rectangular path =

(i)

146.00 sq.cm
(ii)

168.00 sq.cm
(iii)

162.00 sq.cm
(iv)

196.00 sq.cm
(v)

183.00 sq.cm

Question 10

10.

In an isosceles right angled triangle △PQR, if area = 144.5 sq.cm, then corresponding height of side PQ =

(i)

14.00 cm
(ii)

17.00 cm
(iii)

22.00 cm
(iv)

12.00 cm
(v)

20.00 cm

Question 11

11.

If the inner length, outer breadth and area of the outer rectangle of a rectangular path are 10.00 cm, 12.80 cm and 189.44 sq.cm respectively, the area of the rectangular path =

(i)

94.44 sq.cm
(ii)

137.44 sq.cm
(iii)

117.44 sq.cm
(iv)

109.44 sq.cm
(v)

82.44 sq.cm

Question 12

12.

If the outer length, inner breadth and area of the inner rectangle of a rectangular path are 11.60 cm, 8.00 cm and 80.00 sq.cm respectively, the area of the outer rectangle of the rectangular path =

(i)

108.36 sq.cm
(ii)

133.36 sq.cm
(iii)

113.36 sq.cm
(iv)

87.36 sq.cm
(v)

111.36 sq.cm

Question 13

13.

If diameter of the circle is 16.00 cm, the area of the circle is

(i)

216.14 sq.cm
(ii)

184.14 sq.cm
(iii)

207.14 sq.cm
(iv)

201.14 sq.cm
(v)

183.14 sq.cm

Question 14

14.

If circumference of the circle is 56.57 cm, the diameter of the circle is

(i)

13.00 cm
(ii)

15.00 cm
(iii)

21.00 cm
(iv)

18.00 cm
(v)

23.00 cm

Question 15

15.

In a right angled triangle △PQR, if the base QR = 11 cm and the corresponding height is 10 cm, then side RP =

(i)

9.87 cm
(ii)

14.87 cm
(iii)

19.87 cm
(iv)

11.87 cm
(v)

17.87 cm

Question 16

16.

If the outer side of a square path is 10.00 cm and area of the square path is 19.00 sq.cm, the inner side of the square path =

(i)

11.00 cm
(ii)

7.00 cm
(iii)

10.00 cm
(iv)

9.00 cm
(v)

8.00 cm

Question 17

17.

Find the area of the shaded region of the adjoining figure, given that ∠NIJ = ∠KJI = 90°, ML ∥ IJ ∥ NK, MO ⟂ NK, LP ⟂ NK, NO = PK, IJ = 27 cm, IN = 11 cm, ML = 5 cm and distance between IJ and ML is 21 cm

(i)

459.00 sq.cm
(ii)

457.00 sq.cm
(iii)

456.00 sq.cm
(iv)

458.00 sq.cm
(v)

455.00 sq.cm

Question 18

18.

Find the area of the shaded region given below

(i)

544.00 sq.m
(ii)

548.00 sq.m
(iii)

563.00 sq.m
(iv)

530.00 sq.m
(v)

576.00 sq.m

Question 19

19.

In △PQR, if base QR = 19 cm and area of the triangle = 104.63 sq.cm, then corresponding height of side QR =

(i)

16.01 cm
(ii)

6.01 cm
(iii)

14.01 cm
(iv)

8.01 cm
(v)

11.01 cm

Question 20

20.

In △PQR, if corresponding height of side QR = 9.8 cm and area of the triangle = 97.98 sq.cm, then side QR =

(i)

17.00 cm
(ii)

20.00 cm
(iii)

25.00 cm
(iv)

15.00 cm
(v)

23.00 cm

Question 21

21.

Find the perimeter of the shaded region given below

(i)

93.00 m
(ii)

103.00 m
(iii)

101.00 m
(iv)

95.00 m
(v)

98.00 m

Question 22

22.

In quadrilateral PQRS, if diagonal QS = 16.00 cm, height of vertex P to the diagonal QS is 14.78 cm and area is 184.24 sq.cm, then height of the vertex R to the diagonal QS is

(i)

10.25 cm
(ii)

7.25 cm
(iii)

9.25 cm
(iv)

6.25 cm
(v)

8.25 cm

Question 23

23.

If the areas of inner and outer squares of a square path are 81.00 sq.cm and 100.00 sq.cm respectively, the width of the square path =

(i)

7.50 cm
(ii)

1.50 cm
(iii)

8.50 cm
(iv)

0.50 cm
(v)

2.50 cm

Question 24

24.

In parallelogram PQRS, if base PQ = 19.00 cm and the corresponding height is 13.32 cm, then area of the parallelogram =

(i)

235.08 sq.cm
(ii)

250.08 sq.cm
(iii)

253.08 sq.cm
(iv)

258.08 sq.cm
(v)

281.08 sq.cm

Question 25

25.

In a right angled triangle △PQR, if the base QR = 17 cm and the corresponding height is 16 cm, then area of the triangle =

(i)

122.00 sq.cm
(ii)

133.00 sq.cm
(iii)

136.00 sq.cm
(iv)

161.00 sq.cm
(v)

143.00 sq.cm

Assignment Key