Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 661 · 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 area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 616 sq cm (b) 2464 sq cm (c) 88 sq cm (d) 308 sq cm
2. 2.A cuboid is 12 cm long, 11 cm wide and 4 cm high. What is its volume? (a) 528 cu cm (b) 27 cu cm (c) 448 cu cm (d) 132 cu cm
3. 3.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
4. 4.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 44 cm (b) 88 cm (c) 154 cm (d) 22 cm
5. 5.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) 16 times (c) 64 times (d) 4 times
6. 6.A cuboid is 11 cm long, 9 cm wide and 7 cm high. What is its total surface area? (a) 693 sq cm (b) 956 sq cm (c) 478 sq cm (d) 239 sq cm
7. 7.If the side of a square is made 4 times as long, how many times as big does its area become? (a) 16 times (b) 4 times (c) 8 times (d) 64 times
8. 8.What is the area of a circle of diameter 42 cm? (Use π = 22/7.) (a) 132 sq cm (b) 5544 sq cm (c) 1386 sq cm (d) 693 sq cm
9. 9.What is the circumference of a circle of diameter 56 cm? (Use π = 22/7.) (a) 88 cm (b) 2464 cm (c) 176 cm (d) 352 cm
10. 10.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 1232 sq cm (b) 176 sq cm (c) 9856 sq cm (d) 2464 sq cm
11. 11.A cuboid is 5 cm long, 2 cm wide and 5 cm high. What is its volume? (a) 50 cu cm (b) 10 cu cm (c) 90 cu cm (d) 12 cu cm
12. 12.A cube has edges of 9 cm. What is its volume? (a) 486 cu cm (b) 729 cu cm (c) 324 cu cm (d) 27 cu cm
13. 13.What is the circumference of a circle of radius 35 cm? (Use π = 22/7.) (a) 3850 cm (b) 220 cm (c) 440 cm (d) 110 cm
14. 14.If every edge of a cube is made 5 times as long, how many times as big does its volume become? (a) 5 times (b) 25 times (c) 125 times (d) 10 times
15. 15.What is the circumference of a circle of radius 28 cm? (Use π = 22/7.) (a) 176 cm (b) 88 cm (c) 2464 cm (d) 352 cm
16. 16.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) 3 times (c) 9 times (d) 6 times
17. 17.What is the circumference of a circle of radius 21 cm? (Use π = 22/7.) (a) 66 cm (b) 264 cm (c) 132 cm (d) 1386 cm
18. 18.If the side of a square is made 5 times as long, how many times as big does its area become? (a) 5 times (b) 10 times (c) 25 times (d) 125 times
19. 19.If the side of a square is made 2 times as long, how many times as big does its area become? (a) 4 times (b) 5 times (c) 2 times (d) 8 times
20. 20.A cube has edges of 4 cm. What is its volume? (a) 96 cu cm (b) 64 cu cm (c) 12 cu cm (d) 65 cu cm
21. 21.What is the area of a circle of radius 14 cm? (Use π = 22/7.) (a) 616 sq cm (b) 308 sq cm (c) 88 sq cm (d) 2464 sq cm
22. 22.A cuboid is 5 cm long, 3 cm wide and 2 cm high. What is its total surface area? (a) 31 sq cm (b) 124 sq cm (c) 62 sq cm (d) 30 sq cm
23. 23.A cuboid is 3 cm long, 2 cm wide and 3 cm high. What is its total surface area? (a) 18 sq cm (b) 84 sq cm (c) 21 sq cm (d) 42 sq cm
24. 24.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 88 cm (b) 154 cm (c) 44 cm (d) 22 cm
25. 25.A cuboid is 8 cm long, 5 cm wide and 3 cm high. What is its total surface area? (a) 120 sq cm (b) 316 sq cm (c) 79 sq cm (d) 158 sq 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) 6 times (b) 4 times (c) 2 times (d) 8 times
27. 27.A cube has edges of 8 cm. What is its total surface area? (a) 512 sq cm (b) 64 sq cm (c) 256 sq cm (d) 384 sq cm
28. 28.If every edge of a cube is made 4 times as long, how many times as big does its surface area become? (a) 64 times (b) 8 times (c) 4 times (d) 16 times
29. 29.A cube has edges of 12 cm. What is its volume? (a) 864 cu cm (b) 36 cu cm (c) 1728 cu cm (d) 576 cu cm
30. 30.A cuboid is 11 cm long, 3 cm wide and 2 cm high. What is its volume? (a) 66 cu cm (b) 122 cu cm (c) 16 cu cm (d) 33 cu cm
31. 31.A cube has edges of 3 cm. What is its volume? (a) 36 cu cm (b) 27 cu cm (c) 9 cu cm (d) 54 cu cm
32. 32.What is the area of a circle of radius 7 cm? (Use π = 22/7.) (a) 44 sq cm (b) 616 sq cm (c) 154 sq cm (d) 77 sq cm
33. 33.A cuboid is 5 cm long, 2 cm wide and 9 cm high. What is its volume? (a) 16 cu cm (b) 10 cu cm (c) 90 cu cm (d) 146 cu cm
34. 34.If the radius of a circle is made 2 times as long, how many times as big does its area become? (a) 4 times (b) 5 times (c) 2 times (d) 8 times
35. 35.What is the circumference of a circle of radius 14 cm? (Use π = 22/7.) (a) 88 cm (b) 44 cm (c) 176 cm (d) 616 cm
36. 36.What is the circumference of a circle of diameter 70 cm? (Use π = 22/7.) (a) 110 cm (b) 220 cm (c) 3850 cm (d) 440 cm
37. 37.A cuboid is 11 cm long, 8 cm wide and 3 cm high. What is its volume? (a) 264 cu cm (b) 22 cu cm (c) 88 cu cm (d) 290 cu cm
38. 38.A cuboid is 12 cm long, 5 cm wide and 3 cm high. What is its volume? (a) 60 cu cm (b) 20 cu cm (c) 180 cu cm (d) 222 cu cm
39. 39.A cube has edges of 5 cm. What is its volume? (a) 15 cu cm (b) 100 cu cm (c) 150 cu cm (d) 125 cu cm
40. 40.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) 125 times (c) 5 times (d) 25 times

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