#### Measurements Model Question Paper

7th Standard

Reg.No. :
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Maths

Time : 01:30:00 Hrs
Total Marks : 50
5 x 1 = 5
1. The perimeter of a parallelogram whose adjacent sides are 6 cm and 5 cm is

(a)

12 cm

(b)

10 cm

(c)

24 cm

(d)

22 cm

2. The area of the rhombus with side 4 cm and height 3 cm is

(a)

7 sq. cm

(b)

24 sq. cm

(c)

12 sq. cm

(d)

10 sq. cm

3. The height of the rhombus whose area 96 sq. m and side 24 m is

(a)

8 m

(b)

10 m

(c)

2 m

(d)

4 m

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. 10 x 2 = 20
7. Find the area and perimeter of the following parallelograms:

8. Janaki has a piece of fabric in the shape of a parallelogram. Its height is 12 m and its base is 18 m. She cuts the fabric into four equal parallelograms by cutting the parallel sides through its mid-points. Find the area of each new parallelogram

9. The area of a rhombus is 100 sq. cm and length of one of its diagonals is 8 cm. Find the length of the other diagonal

10. The area of a trapezium is 1080 sq. cm. If the lengths of its parallel sides are 55.6 cm and 34.4 cm, find the distance between them.

11. A square and a parallelogram have the same area. If the side of the square is 48 m and the height of the parallelogram is 18 m, find the length of the base of the parallelogram

12. The area of the rhombus is 576 sq. cm and the length of one of its diagonal is half of the length of the other diagonal then find the length of the diagonals

13. The area of the parallelogram ABCD is 1470 sq cm.
If AB = 49 cm and AD = 35 cm then, find the heights DF and BE

14. One of the diagonals of a rhombus is thrice as the other. If the sum of the length of the diagonals is 24 cm, then find the area of the rhombus

15. Find the height of the parallelogram whose base is four times the height and whose area is 576 sq. cm.

16. 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.

17. 5 x 3 = 15
18. One of the sides and the corresponding height of the parallelogram are 12 m and 8 m respectively. Find the area of the parallelogram.

19. The base of the parallelogram is thrice its height. If the area is 192 sq. cm, find the base and height

20. Find the area of the trapezium whose height is 14 cm and the parallel sides are 18 cm and 9 cm of length

21. The area of a trapezium is 828 sq. cm. If the lengths of its parallel sides are 19.6 cm and 16.4 cm, find the distance between them.

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

23. 2 x 5 = 10
24. Find the area of the rhombus whose side is 17 cm and the height is 8 cm.

25. 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.