Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 283 · 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 14 cm? (Use π = 22/7.) (a) 154 sq cm (b) 616 sq cm (c) 77 sq cm (d) 44 sq cm
2. 2.What is the circumference of a circle of diameter 42 cm? (Use π = 22/7.) (a) 66 cm (b) 1386 cm (c) 132 cm (d) 264 cm
3. 3.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 154 cm (b) 44 cm (c) 22 cm (d) 88 cm
4. 4.A cube has edges of 10 cm. What is its volume? (a) 1000 cu cm (b) 30 cu cm (c) 600 cu cm (d) 400 cu cm
5. 5.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 9856 sq cm (c) 176 sq cm (d) 1232 sq cm
6. 6.What is the area of a circle of radius 7 cm? (Use π = 22/7.) (a) 616 sq cm (b) 44 sq cm (c) 77 sq cm (d) 154 sq cm
7. 7.If the side of a square is made 5 times as long, how many times as big does its area become? (a) 10 times (b) 5 times (c) 25 times (d) 125 times
8. 8.A cube has edges of 4 cm. What is its volume? (a) 12 cu cm (b) 96 cu cm (c) 64 cu cm (d) 65 cu cm
9. 9.A cuboid is 9 cm long, 2 cm wide and 7 cm high. What is its volume? (a) 127 cu cm (b) 18 cu cm (c) 190 cu cm (d) 126 cu cm
10. 10.What is the circumference of a circle of radius 35 cm? (Use π = 22/7.) (a) 220 cm (b) 110 cm (c) 3850 cm (d) 440 cm
11. 11.What is the area of a circle of radius 21 cm? (Use π = 22/7.) (a) 693 sq cm (b) 5544 sq cm (c) 1386 sq cm (d) 132 sq cm
12. 12.What is the circumference of a circle of diameter 28 cm? (Use π = 22/7.) (a) 616 cm (b) 44 cm (c) 176 cm (d) 88 cm
13. 13.What is the circumference of a circle of radius 21 cm? (Use π = 22/7.) (a) 1386 cm (b) 66 cm (c) 264 cm (d) 132 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) 9 times (b) 6 times (c) 3 times (d) 27 times
15. 15.A cube has edges of 7 cm. What is its total surface area? (a) 49 sq cm (b) 343 sq cm (c) 196 sq cm (d) 294 sq cm
16. 16.A cuboid is 7 cm long, 5 cm wide and 8 cm high. What is its volume? (a) 35 cu cm (b) 20 cu cm (c) 262 cu cm (d) 280 cu cm
17. 17.A cuboid is 7 cm long, 6 cm wide and 3 cm high. What is its total surface area? (a) 81 sq cm (b) 126 sq cm (c) 324 sq cm (d) 162 sq cm
18. 18.If every edge of a cube is made 5 times as long, how many times as big does its surface area become? (a) 25 times (b) 125 times (c) 5 times (d) 10 times
19. 19.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
20. 20.A cuboid is 6 cm long, 3 cm wide and 8 cm high. What is its total surface area? (a) 144 sq cm (b) 360 sq cm (c) 90 sq cm (d) 180 sq cm
21. 21.A cube has edges of 3 cm. What is its total surface area? (a) 36 sq cm (b) 27 sq cm (c) 9 sq cm (d) 54 sq cm
22. 22.What is the circumference of a circle of diameter 56 cm? (Use π = 22/7.) (a) 88 cm (b) 176 cm (c) 352 cm (d) 2464 cm
23. 23.A cuboid is 3 cm long, 2 cm wide and 10 cm high. What is its volume? (a) 15 cu cm (b) 6 cu cm (c) 60 cu cm (d) 112 cu cm
24. 24.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
25. 25.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 22 cm (b) 88 cm (c) 44 cm (d) 154 cm
26. 26.A cube has edges of 5 cm. What is its volume? (a) 150 cu cm (b) 125 cu cm (c) 15 cu cm (d) 100 cu cm
27. 27.What is the circumference of a circle of diameter 70 cm? (Use π = 22/7.) (a) 440 cm (b) 3850 cm (c) 220 cm (d) 110 cm
28. 28.A cuboid is 6 cm long, 5 cm wide and 4 cm high. What is its total surface area? (a) 296 sq cm (b) 148 sq cm (c) 120 sq cm (d) 74 sq cm
29. 29.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
30. 30.A cuboid is 11 cm long, 9 cm wide and 3 cm high. What is its volume? (a) 99 cu cm (b) 23 cu cm (c) 297 cu cm (d) 318 cu cm
31. 31.A cuboid is 12 cm long, 9 cm wide and 3 cm high. What is its total surface area? (a) 342 sq cm (b) 684 sq cm (c) 171 sq cm (d) 324 sq cm
32. 32.A cuboid is 5 cm long, 3 cm wide and 3 cm high. What is its volume? (a) 15 cu cm (b) 78 cu cm (c) 45 cu cm (d) 11 cu cm
33. 33.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
34. 34.A cuboid is 10 cm long, 2 cm wide and 8 cm high. What is its volume? (a) 20 cu cm (b) 232 cu cm (c) 160 cu cm (d) 161 cu cm
35. 35.If the radius of a circle is made 2 times as long, how many times as big does its area become? (a) 2 times (b) 4 times (c) 8 times (d) 5 times
36. 36.A cuboid is 10 cm long, 3 cm wide and 8 cm high. What is its total surface area? (a) 134 sq cm (b) 240 sq cm (c) 268 sq cm (d) 536 sq cm
37. 37.A cube has edges of 9 cm. What is its volume? (a) 486 cu cm (b) 324 cu cm (c) 729 cu cm (d) 27 cu cm
38. 38.What is the circumference of a circle of radius 14 cm? (Use π = 22/7.) (a) 44 cm (b) 176 cm (c) 88 cm (d) 616 cm
39. 39.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
40. 40.What is the area of a circle of diameter 42 cm? (Use π = 22/7.) (a) 5544 sq cm (b) 132 sq cm (c) 1386 sq cm (d) 693 sq cm

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