#### Term 2 Measurements Model Question Paper

7th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
5 x 1 = 5
1. The formula used to find the area of the circle is ________ sq.units.

(a)

4πr2

(b)

πr2

(c)

2πr2

(d)

πr2 + 2r

2. 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

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 = 28 mm

8. Find the circumference of the circles whose radii are given below.
91 mm

9. A wire of length 1320 cm is made into circular frames of radius 7 cm each. How many frames can be made?

10. 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?

11. A circular carpet whose radius is 106 cm is laid on a circular hall of radius 120 cm. Find the area of the hall uncovered by the carpet.

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

14. If the circumference of the circle is 132 m. Then calculate the radius and diameter (Take $\pi =\frac { 22 }{ 7 }$).

15. 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=$\frac { 22 }{ 7 }$)

16. Find the perimeter of the given shape (Fig.2.9) (Take $\pi =\frac { 22 }{ 7 }$).

17. A verandah of width 3 m is constructed along the outside of a room of length 9 m and width 7m. Find (a) the area of the verandah (b) the cost of cementing the floor of the verandah at the rate of Rs.15 per sq.m.

18. 4 x 5 = 20
19. The area of the circular region is 2464 cm2. Find its radius and diameter. (use $\pi =\frac { 22 }{ 7 }$).

20. 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 $\pi =\frac { 22 }{ 7 }$)

21. 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 $\pi =\frac { 22 }{ 7 }$)

22. garden is made up of a rectangular portion and two semicircular regions on either sides. If the length and width of the rectangular portion are 16 m and 8 m respectively, calculate (π=3.14)

The total area of the garden