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#### Measurements Model Question Paper

7th Standard EM

Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 40
5 x 1 = 5
1. The area of a parallelogram whose base 10 m and height 7 m is

(a)

70 sq. m

(b)

35 sq. m

(c)

7 sq. m

(d)

10 sq. m

2. The base of the parallelogram with area is 52 sq. cm and height 4 cm is

(a)

48 cm

(b)

104 cm

(c)

13 cm

(d)

26 cm

3. The area of the rhombus is 128 sq. cm and the length of one diagonal is 32 cm. The length of the other diagonal is

(a)

12 cm

(b)

8 cm

(c)

4 cm

(d)

20 cm

4. The area of the trapezium, if the parallel sides are measuring 8 cm and 10 cm and the height 5 cm is

(a)

45 sq. cm

(b)

40 sq. cm

(c)

18 sq. cm

(d)

50 sq. cm

5. when the non-parallel sides of a trapezium are equal then it is known as

(a)

a square

(b)

a rectangle

(c)

an isosceles trapezium

(d)

a parallelogram

6. 5 x 2 = 10
7. Suresh won a parallelogram-shaped trophy in a state level Chess tournament. He knows that the area of the trophy is 735 sq. cm and its base is 21 cm. What is the height of that trophy?

8. Find the area of a rhombus whose base is 14 cm and height is 9 cm.

9. The area of a trapezium is 180 sq. cm and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm, find the length of the parallel sides.

10. In the following figure, PQRS is a parallelogram find x and y.

11. The perimeter of a parallelogram is 150 cm. One of its sides is greater than the other by 25 cm. Find the length of the sides of the parallelogram.

12. 5 x 3 = 15
13. One of the sides and the corresponding height of the parallelogram are 12 m and 8 m respectively. Find the area of the parallelogram.

14. The parallel sides of a trapezium are 23 cm and 12 cm. The distance between the parallel sides is 9 cm. Find the area of the trapezium

15. The area of a trapezium is 352 sq. cm and the distance between its parallel sides is
16 cm. If one of the parallel sides is of length 25 cm then find the length of the other side.

16. Find the altitude ofthe rhombus whose area is 315 cm2 and its perimeter is 180 cm.

17. The floor of a building consists of 2000 tiles which are rhombus shaped and each of its diagonals are 40 cm and 25 cm. Find the total cost of polishing the floor, if the cost per m2 = Rs.5.

18. 2 x 5 = 10
19. If the area of the rhombus is 60 sq. cm and one of the diagonals is 8 cm, find the length of the other diagonal.

20. The floor of an office building consists of 200 rhombus shaped tiles and each of its length of the diagonals are 40 cm and 25 cm. Find the total cost of polishing the floor at 45 per sq.m.