Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 589 · 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 diameter 56 cm? (Use π = 22/7.) (a) 88 cm (b) 2464 cm (c) 352 cm (d) 176 cm
2. 2.What is the circumference of a circle of radius 14 cm? (Use π = 22/7.) (a) 88 cm (b) 176 cm (c) 44 cm (d) 616 cm
3. 3.A cuboid is 5 cm long, 4 cm wide and 6 cm high. What is its volume? (a) 148 cu cm (b) 15 cu cm (c) 120 cu cm (d) 20 cu cm
4. 4.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 9856 sq cm (b) 176 sq cm (c) 1232 sq cm (d) 2464 sq cm
5. 5.What is the circumference of a circle of diameter 70 cm? (Use π = 22/7.) (a) 3850 cm (b) 440 cm (c) 110 cm (d) 220 cm
6. 6.If the side of a square is made 5 times as long, how many times as big does its area become? (a) 125 times (b) 25 times (c) 10 times (d) 5 times
7. 7.A cuboid is 6 cm long, 2 cm wide and 7 cm high. What is its total surface area? (a) 68 sq cm (b) 84 sq cm (c) 272 sq cm (d) 136 sq cm
8. 8.What is the circumference of a circle of diameter 42 cm? (Use π = 22/7.) (a) 264 cm (b) 1386 cm (c) 66 cm (d) 132 cm
9. 9.A cube has edges of 4 cm. What is its total surface area? (a) 97 sq cm (b) 96 sq cm (c) 16 sq cm (d) 64 sq cm
10. 10.A cuboid is 12 cm long, 9 cm wide and 5 cm high. What is its volume? (a) 26 cu cm (b) 108 cu cm (c) 540 cu cm (d) 426 cu cm
11. 11.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 22 cm (b) 154 cm (c) 88 cm (d) 44 cm
12. 12.A cuboid is 9 cm long, 6 cm wide and 2 cm high. What is its volume? (a) 54 cu cm (b) 108 cu cm (c) 168 cu cm (d) 17 cu cm
13. 13.What is the circumference of a circle of radius 35 cm? (Use π = 22/7.) (a) 3850 cm (b) 110 cm (c) 440 cm (d) 220 cm
14. 14.If every edge of a cube is made 3 times as long, how many times as big does its volume become? (a) 27 times (b) 9 times (c) 6 times (d) 3 times
15. 15.A cuboid is 8 cm long, 6 cm wide and 10 cm high. What is its volume? (a) 480 cu cm (b) 376 cu cm (c) 24 cu cm (d) 48 cu cm
16. 16.What is the area of a circle of radius 21 cm? (Use π = 22/7.) (a) 1386 sq cm (b) 693 sq cm (c) 132 sq cm (d) 5544 sq cm
17. 17.If every edge of a cube is made 2 times as long, how many times as big does its volume become? (a) 4 times (b) 8 times (c) 6 times (d) 2 times
18. 18.If the radius of a circle is made 2 times as long, how many times as big does its area become? (a) 8 times (b) 5 times (c) 4 times (d) 2 times
19. 19.If the radius of a circle is made 5 times as long, how many times as big does its area become? (a) 10 times (b) 25 times (c) 125 times (d) 5 times
20. 20.A cuboid is 6 cm long, 3 cm wide and 6 cm high. What is its volume? (a) 15 cu cm (b) 108 cu cm (c) 144 cu cm (d) 18 cu cm
21. 21.A cube has edges of 2 cm. What is its volume? (a) 16 cu cm (b) 6 cu cm (c) 24 cu cm (d) 8 cu cm
22. 22.What is the circumference of a circle of diameter 28 cm? (Use π = 22/7.) (a) 616 cm (b) 88 cm (c) 44 cm (d) 176 cm
23. 23.A cuboid is 3 cm long, 2 cm wide and 6 cm high. What is its total surface area? (a) 73 sq cm (b) 144 sq cm (c) 72 sq cm (d) 36 sq cm
24. 24.If every edge of a cube is made 5 times as long, how many times as big does its volume become? (a) 25 times (b) 5 times (c) 10 times (d) 125 times
25. 25.What is the area of a circle of diameter 42 cm? (Use π = 22/7.) (a) 5544 sq cm (b) 132 sq cm (c) 693 sq cm (d) 1386 sq cm
26. 26.If every edge of a cube is made 4 times as long, how many times as big does its volume become? (a) 8 times (b) 64 times (c) 16 times (d) 4 times
27. 27.A cube has edges of 5 cm. What is its volume? (a) 15 cu cm (b) 150 cu cm (c) 125 cu cm (d) 100 cu cm
28. 28.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 22 cm (b) 88 cm (c) 154 cm (d) 44 cm
29. 29.What is the circumference of a circle of radius 28 cm? (Use π = 22/7.) (a) 352 cm (b) 176 cm (c) 2464 cm (d) 88 cm
30. 30.A cuboid is 9 cm long, 2 cm wide and 8 cm high. What is its volume? (a) 18 cu cm (b) 19 cu cm (c) 144 cu cm (d) 212 cu cm
31. 31.A cube has edges of 9 cm. What is its volume? (a) 27 cu cm (b) 324 cu cm (c) 486 cu cm (d) 729 cu cm
32. 32.What is the circumference of a circle of radius 21 cm? (Use π = 22/7.) (a) 264 cm (b) 66 cm (c) 1386 cm (d) 132 cm
33. 33.A cuboid is 3 cm long, 2 cm wide and 2 cm high. What is its total surface area? (a) 12 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
34. 34.What is the area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 88 sq cm (b) 2464 sq cm (c) 308 sq cm (d) 616 sq cm
35. 35.A cuboid is 11 cm long, 9 cm wide and 5 cm high. What is its volume? (a) 495 cu cm (b) 99 cu cm (c) 25 cu cm (d) 398 cu cm
36. 36.What is the area of a circle of diameter 56 cm? (Use π = 22/7.) (a) 176 sq cm (b) 2464 sq cm (c) 9856 sq cm (d) 1232 sq cm
37. 37.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
38. 38.What is the area of a circle of diameter 14 cm? (Use π = 22/7.) (a) 77 sq cm (b) 154 sq cm (c) 616 sq cm (d) 44 sq cm
39. 39.A cuboid is 11 cm long, 8 cm wide and 10 cm high. What is its total surface area? (a) 880 sq cm (b) 556 sq cm (c) 278 sq cm (d) 1112 sq cm
40. 40.If the radius of a circle is made 3 times as long, how many times as big does its area become? (a) 6 times (b) 3 times (c) 9 times (d) 27 times

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