Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 717 · 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 radius 14 cm? (Use π = 22/7.) (a) 308 sq cm (b) 2464 sq cm (c) 616 sq cm (d) 88 sq cm
2. 2.What is the circumference of a circle of radius 14 cm? (Use π = 22/7.) (a) 616 cm (b) 44 cm (c) 88 cm (d) 176 cm
3. 3.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) 2 times (c) 4 times (d) 8 times
4. 4.What is the area of a circle of diameter 42 cm? (Use π = 22/7.) (a) 5544 sq cm (b) 693 sq cm (c) 132 sq cm (d) 1386 sq cm
5. 5.What is the area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 616 sq cm (b) 88 sq cm (c) 2464 sq cm (d) 308 sq cm
6. 6.What is the area of a circle of radius 7 cm? (Use π = 22/7.) (a) 44 sq cm (b) 154 sq cm (c) 616 sq cm (d) 77 sq cm
7. 7.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 88 cm (b) 22 cm (c) 44 cm (d) 154 cm
8. 8.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
9. 9.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 22 cm (b) 154 cm (c) 44 cm (d) 88 cm
10. 10.What is the circumference of a circle of diameter 42 cm? (Use π = 22/7.) (a) 1386 cm (b) 66 cm (c) 264 cm (d) 132 cm
11. 11.A cuboid is 12 cm long, 11 cm wide and 5 cm high. What is its total surface area? (a) 988 sq cm (b) 660 sq cm (c) 247 sq cm (d) 494 sq cm
12. 12.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 176 sq cm (b) 1232 sq cm (c) 2464 sq cm (d) 9856 sq cm
13. 13.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
14. 14.What is the area of a circle of radius 21 cm? (Use π = 22/7.) (a) 1386 sq cm (b) 5544 sq cm (c) 693 sq cm (d) 132 sq cm
15. 15.What is the circumference of a circle of diameter 56 cm? (Use π = 22/7.) (a) 88 cm (b) 352 cm (c) 2464 cm (d) 176 cm
16. 16.What is the circumference of a circle of diameter 28 cm? (Use π = 22/7.) (a) 176 cm (b) 616 cm (c) 44 cm (d) 88 cm
17. 17.A cuboid is 9 cm long, 8 cm wide and 6 cm high. What is its total surface area? (a) 432 sq cm (b) 174 sq cm (c) 696 sq cm (d) 348 sq cm
18. 18.What is the area of a circle of diameter 14 cm? (Use π = 22/7.) (a) 616 sq cm (b) 44 sq cm (c) 77 sq cm (d) 154 sq cm
19. 19.A cuboid is 12 cm long, 9 cm wide and 10 cm high. What is its total surface area? (a) 1080 sq cm (b) 636 sq cm (c) 1272 sq cm (d) 318 sq cm
20. 20.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) 9 times (c) 3 times (d) 27 times
21. 21.A cuboid is 3 cm long, 2 cm wide and 4 cm high. What is its total surface area? (a) 104 sq cm (b) 24 sq cm (c) 52 sq cm (d) 26 sq cm
22. 22.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
23. 23.A cuboid is 12 cm long, 4 cm wide and 5 cm high. What is its volume? (a) 256 cu cm (b) 48 cu cm (c) 240 cu cm (d) 21 cu cm
24. 24.A cuboid is 5 cm long, 3 cm wide and 9 cm high. What is its volume? (a) 15 cu cm (b) 17 cu cm (c) 135 cu cm (d) 174 cu cm
25. 25.A cube has edges of 5 cm. What is its total surface area? (a) 25 sq cm (b) 100 sq cm (c) 150 sq cm (d) 125 sq cm
26. 26.If the side of a square is made 3 times as long, how many times as big does its area become? (a) 27 times (b) 3 times (c) 9 times (d) 6 times
27. 27.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
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) 4 times (b) 16 times (c) 8 times (d) 64 times
29. 29.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) 2 times (c) 4 times (d) 5 times
30. 30.A cuboid is 11 cm long, 2 cm wide and 7 cm high. What is its volume? (a) 154 cu cm (b) 22 cu cm (c) 20 cu cm (d) 226 cu cm
31. 31.A cuboid is 7 cm long, 5 cm wide and 3 cm high. What is its total surface area? (a) 71 sq cm (b) 142 sq cm (c) 284 sq cm (d) 105 sq cm
32. 32.A cuboid is 7 cm long, 5 cm wide and 7 cm high. What is its total surface area? (a) 245 sq cm (b) 119 sq cm (c) 238 sq cm (d) 476 sq cm
33. 33.If every edge of a cube is made 5 times as long, how many times as big does its volume become? (a) 125 times (b) 25 times (c) 5 times (d) 10 times
34. 34.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) 8 times (d) 4 times
35. 35.A cube has edges of 7 cm. What is its total surface area? (a) 343 sq cm (b) 196 sq cm (c) 49 sq cm (d) 294 sq cm
36. 36.A cuboid is 9 cm long, 2 cm wide and 3 cm high. What is its volume? (a) 14 cu cm (b) 102 cu cm (c) 54 cu cm (d) 18 cu cm
37. 37.What is the circumference of a circle of radius 28 cm? (Use π = 22/7.) (a) 88 cm (b) 2464 cm (c) 352 cm (d) 176 cm
38. 38.A cube has edges of 12 cm. What is its volume? (a) 576 cu cm (b) 36 cu cm (c) 1728 cu cm (d) 864 cu cm
39. 39.A cuboid is 4 cm long, 3 cm wide and 2 cm high. What is its volume? (a) 12 cu cm (b) 9 cu cm (c) 24 cu cm (d) 52 cu cm
40. 40.A cuboid is 7 cm long, 2 cm wide and 8 cm high. What is its volume? (a) 14 cu cm (b) 172 cu cm (c) 17 cu cm (d) 112 cu cm

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