#### Term 2 Measurements Three Marks

7th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 45
15 x 3 = 45
1. Calculate the circumference of the bangle shown in Fig. 2.5 (Take p = 3.14 ).

2. What is the circumference of the circular disc of radius 14 cm? (use $\pi =\frac { 22 }{ 7 }$)

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

4. What is the distance travelled by the tip of the seconds hand of a clock in 1 minute, if the length of the hand is 56 mm (use $\pi =\frac { 22 }{ 7 }$).

5. The radius of a tractor wheel is 77 cm. Calculate the distance covered by it in 35 rotations? (use $\pi =\frac { 22 }{ 7 }$)

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

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

8. Kannan divides a circular disc of radius 14 cm into four equal parts. What is the perimeter of a quadrant shaped disc? (use $\pi =\frac { 22 }{ 7 }$)

9. A park is circular in shape. The central portion has playthings for kids surrounded by a circular walking pathway. Find the walking area whose outer radius is 10 m and inner radius is 3 m.

10. The radius of a circular flower garden is 21 m. A circular path of 14 m wide is laid around the garden. Find the area of the circular path.

11. The radius of a circular cricket ground is 76 m. A drainage 2 m wide has to be constructed around the cricket ground for the purpose of draining the rain water. Find the cost of constructing the drainage at the rate of Rs.180/- per sq.m.

12. 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.

13. 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.

14. 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.

15. 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.