Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 402 · 40 questions

How to solve it (Divide by 7 first): Circle: circumference = 2 × π × r; area = π × r × r. With π = 22/7, divide the radius by 7 first. Cube of edge a: volume = a × a × a, surface area = 6 × a × a. Cuboid: volume = l × b × h, surface area = 2 × (lb + bh + hl). Make every length k times as long: areas become k × k times as big, volumes k × k × k times.

1. 1.What is the circumference of a circle of radius 35 cm? (Use π = 22/7.) (a) 220 cm (b) 3850 cm (c) 110 cm (d) 440 cm
2. 2.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 1232 sq cm (b) 9856 sq cm (c) 176 sq cm (d) 2464 sq cm
3. 3.What is the area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 308 sq cm (b) 88 sq cm (c) 2464 sq cm (d) 616 sq cm
4. 4.What is the area of a circle of diameter 42 cm? (Use π = 22/7.) (a) 132 sq cm (b) 693 sq cm (c) 1386 sq cm (d) 5544 sq cm
5. 5.What is the area of a circle of diameter 14 cm? (Use π = 22/7.) (a) 616 sq cm (b) 44 sq cm (c) 154 sq cm (d) 77 sq cm
6. 6.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 88 cm (b) 154 cm (c) 44 cm (d) 22 cm
7. 7.A cube has edges of 11 cm. What is its volume? (a) 726 cu cm (b) 33 cu cm (c) 1331 cu cm (d) 484 cu cm
8. 8.If every edge of a cube is made 3 times as long, how many times as big does its volume become? (a) 3 times (b) 9 times (c) 27 times (d) 6 times
9. 9.What is the circumference of a circle of diameter 70 cm? (Use π = 22/7.) (a) 110 cm (b) 440 cm (c) 220 cm (d) 3850 cm
10. 10.A cube has edges of 7 cm. What is its total surface area? (a) 196 sq cm (b) 294 sq cm (c) 343 sq cm (d) 49 sq cm
11. 11.A cube has edges of 2 cm. What is its total surface area? (a) 16 sq cm (b) 24 sq cm (c) 8 sq cm (d) 4 sq cm
12. 12.If the side of a square is made 3 times as long, how many times as big does its area become? (a) 3 times (b) 27 times (c) 6 times (d) 9 times
13. 13.If the radius of a circle is made 5 times as long, how many times as big does its area become? (a) 25 times (b) 10 times (c) 125 times (d) 5 times
14. 14.If every edge of a cube is made 2 times as long, how many times as big does its surface area become? (a) 8 times (b) 5 times (c) 2 times (d) 4 times
15. 15.What is the area of a circle of radius 7 cm? (Use π = 22/7.) (a) 154 sq cm (b) 77 sq cm (c) 616 sq cm (d) 44 sq cm
16. 16.A cuboid is 11 cm long, 4 cm wide and 9 cm high. What is its total surface area? (a) 716 sq cm (b) 396 sq cm (c) 179 sq cm (d) 358 sq cm
17. 17.A cuboid is 4 cm long, 3 cm wide and 4 cm high. What is its total surface area? (a) 48 sq cm (b) 80 sq cm (c) 40 sq cm (d) 160 sq cm
18. 18.What is the area of a circle of radius 21 cm? (Use π = 22/7.) (a) 5544 sq cm (b) 693 sq cm (c) 132 sq cm (d) 1386 sq cm
19. 19.A cube has edges of 6 cm. What is its total surface area? (a) 144 sq cm (b) 217 sq cm (c) 36 sq cm (d) 216 sq cm
20. 20.A cuboid is 8 cm long, 6 cm wide and 5 cm high. What is its volume? (a) 240 cu cm (b) 48 cu cm (c) 236 cu cm (d) 19 cu cm
21. 21.If the side of a square is made 2 times as long, how many times as big does its area become? (a) 8 times (b) 5 times (c) 2 times (d) 4 times
22. 22.A cuboid is 8 cm long, 7 cm wide and 6 cm high. What is its volume? (a) 292 cu cm (b) 336 cu cm (c) 21 cu cm (d) 56 cu cm
23. 23.A cube has edges of 12 cm. What is its total surface area? (a) 576 sq cm (b) 864 sq cm (c) 1728 sq cm (d) 144 sq cm
24. 24.What is the circumference of a circle of radius 14 cm? (Use π = 22/7.) (a) 176 cm (b) 88 cm (c) 616 cm (d) 44 cm
25. 25.What is the circumference of a circle of diameter 28 cm? (Use π = 22/7.) (a) 44 cm (b) 176 cm (c) 88 cm (d) 616 cm
26. 26.If every edge of a cube is made 2 times as long, how many times as big does its volume become? (a) 2 times (b) 8 times (c) 4 times (d) 6 times
27. 27.If every edge of a cube is made 4 times as long, how many times as big does its volume become? (a) 16 times (b) 4 times (c) 8 times (d) 64 times
28. 28.If the radius of a circle is made 4 times as long, how many times as big does its area become? (a) 4 times (b) 64 times (c) 16 times (d) 8 times
29. 29.A cuboid is 10 cm long, 2 cm wide and 3 cm high. What is its volume? (a) 60 cu cm (b) 15 cu cm (c) 20 cu cm (d) 112 cu cm
30. 30.What is the area of a circle of diameter 56 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 176 sq cm (c) 9856 sq cm (d) 1232 sq cm
31. 31.What is the circumference of a circle of radius 21 cm? (Use π = 22/7.) (a) 66 cm (b) 132 cm (c) 1386 cm (d) 264 cm
32. 32.A cube has edges of 10 cm. What is its volume? (a) 600 cu cm (b) 400 cu cm (c) 30 cu cm (d) 1000 cu cm
33. 33.A cuboid is 5 cm long, 2 cm wide and 8 cm high. What is its volume? (a) 15 cu cm (b) 132 cu cm (c) 10 cu cm (d) 80 cu cm
34. 34.A cuboid is 4 cm long, 3 cm wide and 2 cm high. What is its volume? (a) 12 cu cm (b) 52 cu cm (c) 24 cu cm (d) 9 cu cm
35. 35.If the side of a square is made 4 times as long, how many times as big does its area become? (a) 64 times (b) 16 times (c) 4 times (d) 8 times
36. 36.A cuboid is 11 cm long, 5 cm wide and 10 cm high. What is its volume? (a) 550 cu cm (b) 26 cu cm (c) 55 cu cm (d) 430 cu cm
37. 37.What is the area of a circle of radius 14 cm? (Use π = 22/7.) (a) 308 sq cm (b) 88 sq cm (c) 616 sq cm (d) 2464 sq cm
38. 38.A cuboid is 7 cm long, 3 cm wide and 3 cm high. What is its total surface area? (a) 102 sq cm (b) 204 sq cm (c) 63 sq cm (d) 51 sq cm
39. 39.A cuboid is 5 cm long, 2 cm wide and 4 cm high. What is its total surface area? (a) 38 sq cm (b) 152 sq cm (c) 40 sq cm (d) 76 sq cm
40. 40.A cuboid is 10 cm long, 2 cm wide and 5 cm high. What is its total surface area? (a) 80 sq cm (b) 100 sq cm (c) 160 sq cm (d) 320 sq cm

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