#### Term 2 Measurements Model Question Paper

7th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 40
5 x 1 = 5
1. The ratio of the area of a circle to the area of its semicircle is

(a)

2:1

(b)

1:2

(c)

4:1

(d)

1:4

2. Area of a circle of radius ‘n’ units is

(a)

2πrp sq. units

(b)

πm2 sq. units

(c)

πrsq. units

(d)

πn2 sq. units

3. The formula to find the area of the circular path is

(a)

π(R2 − r2 ) sq. units

(b)

πr2 sq. units

(c)

2πr2 sq. units

(d)

πr2 + 2r sq. units

4. The formula used to find the area of the rectangular path is

(a)

π(R2 − r2 ) sq. units

(b)

(L × B) − (l × b) sq. units

(c)

LB sq. units

(d)

lb sq. units

5. The formula to find the width of the circular path is

(a)

( L − l ) units

(b)

( B − b ) units

(c)

( R − r ) units

(d)

( r − R ) units

6. 5 x 2 = 10
7. Diameters of different circles are given below. Find their circumference (Take π =$\frac { 22 }{ 7 }$).
d = 56 m

8. Diameters of different circles are given below. Find their circumference (Take π =$\frac { 22 }{ 7 }$).
d = 28 mm

9. A Rose garden is in the form of circle of radius 63 m. The gardener wants to fence it at the rate of Rs.150 per metre. Find the cost of fencing?

10. Find the area of the dining table whose diameter is 105 cm.

11. There is a circular lawn of radius 28 m. A path of 7 m width is laid around the lawn. What will be the area of the path?

12. 5 x 3 = 15
13. What is the circumference of the circular disc of radius 14 cm? (use $\pi =\frac { 22 }{ 7 }$)

14. farmer wants to fence his circular poultry farm with barbed wire whose radius is 420m. The cost of fencing is Rs.12 per metre. He has Rs.30,000 with him. How much more amount will be needed to fence his farm? (Here π=$\frac { 22 }{ 7 }$)

15. A floor is 10 m long and 8 m wide. A carpet of size 7 m long and 5 m wide is laid on the floor. Find the area of the floor that is not covered by the carpet.

16. A picture of length 23 cm and breadth 11 cm is painted on a chart, such that there is a margin of 3 cm along each of its sides. Find the total area of the margin.

17. A Kho-Kho ground has dimensions 30 m×19 m which includes a lobby on all of its sides. The dimensions of the playing area is 27 m×16 m. Find the area of the lobby.

18. 2 x 5 = 10
19. A gardener walks around a circular park of distance 154 m. If he wants to level the park at the rate of Rs.25 per sq.m, how much amount will he need? (use $\pi =\frac { 22 }{ 7 }$)

20. Find the length of the rope by which a cow must be tethered in order that it may be able to graze an area of 9856 sq.m ((use $\pi =\frac { 22 }{ 7 }$)