Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 47 · 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 14 cm? (Use π = 22/7.) (a) 88 cm (b) 176 cm (c) 44 cm (d) 616 cm
2. 2.What is the circumference of a circle of radius 35 cm? (Use π = 22/7.) (a) 3850 cm (b) 440 cm (c) 220 cm (d) 110 cm
3. 3.What is the area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 308 sq cm (b) 616 sq cm (c) 2464 sq cm (d) 88 sq cm
4. 4.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 44 cm (b) 88 cm (c) 154 cm (d) 22 cm
5. 5.A cuboid is 3 cm long, 2 cm wide and 9 cm high. What is its total surface area? (a) 51 sq cm (b) 102 sq cm (c) 54 sq cm (d) 204 sq cm
6. 6.What is the area of a circle of radius 14 cm? (Use π = 22/7.) (a) 308 sq cm (b) 616 sq cm (c) 88 sq cm (d) 2464 sq cm
7. 7.What is the area of a circle of radius 21 cm? (Use π = 22/7.) (a) 5544 sq cm (b) 1386 sq cm (c) 693 sq cm (d) 132 sq cm
8. 8.What is the circumference of a circle of radius 28 cm? (Use π = 22/7.) (a) 176 cm (b) 352 cm (c) 2464 cm (d) 88 cm
9. 9.A cuboid is 11 cm long, 7 cm wide and 2 cm high. What is its total surface area? (a) 452 sq cm (b) 154 sq cm (c) 113 sq cm (d) 226 sq cm
10. 10.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
11. 11.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 9856 sq cm (b) 1232 sq cm (c) 2464 sq cm (d) 176 sq cm
12. 12.A cuboid is 12 cm long, 9 cm wide and 4 cm high. What is its volume? (a) 432 cu cm (b) 25 cu cm (c) 108 cu cm (d) 384 cu cm
13. 13.If every edge of a cube is made 4 times as long, how many times as big does its surface area become? (a) 4 times (b) 64 times (c) 8 times (d) 16 times
14. 14.A cuboid is 9 cm long, 4 cm wide and 8 cm high. What is its volume? (a) 280 cu cm (b) 36 cu cm (c) 21 cu cm (d) 288 cu cm
15. 15.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) 8 times (c) 4 times (d) 2 times
16. 16.A cuboid is 3 cm long, 2 cm wide and 8 cm high. What is its volume? (a) 13 cu cm (b) 92 cu cm (c) 6 cu cm (d) 48 cu cm
17. 17.If every edge of a cube is made 3 times as long, how many times as big does its surface area become? (a) 27 times (b) 6 times (c) 3 times (d) 9 times
18. 18.A cube has edges of 10 cm. What is its total surface area? (a) 1000 sq cm (b) 600 sq cm (c) 100 sq cm (d) 400 sq cm
19. 19.What is the circumference of a circle of diameter 56 cm? (Use π = 22/7.) (a) 352 cm (b) 2464 cm (c) 176 cm (d) 88 cm
20. 20.A cube has edges of 6 cm. What is its total surface area? (a) 144 sq cm (b) 36 sq cm (c) 217 sq cm (d) 216 sq cm
21. 21.A cuboid is 10 cm long, 6 cm wide and 7 cm high. What is its total surface area? (a) 688 sq cm (b) 172 sq cm (c) 420 sq cm (d) 344 sq cm
22. 22.A cuboid is 12 cm long, 9 cm wide and 7 cm high. What is its total surface area? (a) 510 sq cm (b) 1020 sq cm (c) 255 sq cm (d) 756 sq cm
23. 23.If the radius of a circle is made 4 times as long, how many times as big does its area become? (a) 16 times (b) 8 times (c) 4 times (d) 64 times
24. 24.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 154 cm (b) 22 cm (c) 88 cm (d) 44 cm
25. 25.A cuboid is 9 cm long, 7 cm wide and 7 cm high. What is its total surface area? (a) 441 sq cm (b) 350 sq cm (c) 700 sq cm (d) 175 sq cm
26. 26.What is the circumference of a circle of radius 21 cm? (Use π = 22/7.) (a) 132 cm (b) 66 cm (c) 1386 cm (d) 264 cm
27. 27.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) 27 times (d) 9 times
28. 28.A cuboid is 4 cm long, 3 cm wide and 5 cm high. What is its volume? (a) 94 cu cm (b) 12 cu cm (c) 60 cu cm (d) 61 cu cm
29. 29.What is the area of a circle of diameter 14 cm? (Use π = 22/7.) (a) 616 sq cm (b) 77 sq cm (c) 44 sq cm (d) 154 sq cm
30. 30.A cuboid is 11 cm long, 2 cm wide and 10 cm high. What is its total surface area? (a) 608 sq cm (b) 304 sq cm (c) 220 sq cm (d) 152 sq cm
31. 31.What is the circumference of a circle of diameter 70 cm? (Use π = 22/7.) (a) 220 cm (b) 3850 cm (c) 440 cm (d) 110 cm
32. 32.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
33. 33.A cube has edges of 4 cm. What is its total surface area? (a) 16 sq cm (b) 64 sq cm (c) 97 sq cm (d) 96 sq cm
34. 34.A cube has edges of 3 cm. What is its volume? (a) 36 cu cm (b) 54 cu cm (c) 27 cu cm (d) 9 cu cm
35. 35.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
36. 36.What is the circumference of a circle of diameter 28 cm? (Use π = 22/7.) (a) 616 cm (b) 176 cm (c) 44 cm (d) 88 cm
37. 37.A cuboid is 3 cm long, 2 cm wide and 9 cm high. What is its volume? (a) 102 cu cm (b) 54 cu cm (c) 6 cu cm (d) 14 cu cm
38. 38.A cube has edges of 2 cm. What is its total surface area? (a) 4 sq cm (b) 24 sq cm (c) 8 sq cm (d) 16 sq cm
39. 39.A cuboid is 10 cm long, 4 cm wide and 5 cm high. What is its total surface area? (a) 110 sq cm (b) 440 sq cm (c) 220 sq cm (d) 200 sq cm
40. 40.A cuboid is 9 cm long, 6 cm wide and 5 cm high. What is its volume? (a) 270 cu cm (b) 54 cu cm (c) 20 cu cm (d) 258 cu cm

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