Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 134 · 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) 88 sq cm (b) 308 sq cm (c) 2464 sq cm (d) 616 sq cm
2. 2.What is the area of a circle of diameter 14 cm? (Use π = 22/7.) (a) 154 sq cm (b) 44 sq cm (c) 77 sq cm (d) 616 sq cm
3. 3.What is the area of a circle of radius 7 cm? (Use π = 22/7.) (a) 616 sq cm (b) 154 sq cm (c) 77 sq cm (d) 44 sq cm
4. 4.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) 10 times (c) 125 times (d) 5 times
5. 5.What is the circumference of a circle of radius 28 cm? (Use π = 22/7.) (a) 352 cm (b) 2464 cm (c) 176 cm (d) 88 cm
6. 6.What is the circumference of a circle of radius 21 cm? (Use π = 22/7.) (a) 264 cm (b) 1386 cm (c) 66 cm (d) 132 cm
7. 7.A cuboid is 12 cm long, 4 cm wide and 4 cm high. What is its total surface area? (a) 448 sq cm (b) 112 sq cm (c) 192 sq cm (d) 224 sq cm
8. 8.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
9. 9.A cuboid is 11 cm long, 2 cm wide and 2 cm high. What is its total surface area? (a) 96 sq cm (b) 48 sq cm (c) 44 sq cm (d) 192 sq cm
10. 10.A cube has edges of 9 cm. What is its volume? (a) 324 cu cm (b) 729 cu cm (c) 27 cu cm (d) 486 cu cm
11. 11.A cuboid is 11 cm long, 2 cm wide and 6 cm high. What is its total surface area? (a) 132 sq cm (b) 200 sq cm (c) 100 sq cm (d) 400 sq cm
12. 12.What is the circumference of a circle of radius 35 cm? (Use π = 22/7.) (a) 110 cm (b) 3850 cm (c) 440 cm (d) 220 cm
13. 13.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) 2 times (c) 4 times (d) 5 times
14. 14.What is the circumference of a circle of diameter 28 cm? (Use π = 22/7.) (a) 616 cm (b) 44 cm (c) 88 cm (d) 176 cm
15. 15.If the radius of a circle is made 5 times as long, how many times as big does its area become? (a) 125 times (b) 5 times (c) 25 times (d) 10 times
16. 16.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 176 sq cm (c) 9856 sq cm (d) 1232 sq cm
17. 17.A cuboid is 7 cm long, 2 cm wide and 5 cm high. What is its total surface area? (a) 118 sq cm (b) 236 sq cm (c) 59 sq cm (d) 70 sq cm
18. 18.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) 8 times (c) 5 times (d) 4 times
19. 19.If every edge of a cube is made 2 times as long, how many times as big does its surface area become? (a) 5 times (b) 8 times (c) 4 times (d) 2 times
20. 20.A cuboid is 10 cm long, 4 cm wide and 10 cm high. What is its volume? (a) 40 cu cm (b) 24 cu cm (c) 400 cu cm (d) 360 cu cm
21. 21.A cuboid is 5 cm long, 2 cm wide and 10 cm high. What is its total surface area? (a) 80 sq cm (b) 100 sq cm (c) 320 sq cm (d) 160 sq cm
22. 22.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) 125 times (c) 5 times (d) 25 times
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) 36 sq cm (c) 144 sq cm (d) 72 sq cm
24. 24.If every edge of a cube is made 3 times as long, how many times as big does its volume become? (a) 3 times (b) 9 times (c) 27 times (d) 6 times
25. 25.If every edge of a cube is made 5 times as long, how many times as big does its surface area become? (a) 5 times (b) 10 times (c) 125 times (d) 25 times
26. 26.What is the circumference of a circle of radius 14 cm? (Use π = 22/7.) (a) 88 cm (b) 616 cm (c) 176 cm (d) 44 cm
27. 27.A cuboid is 6 cm long, 2 cm wide and 2 cm high. What is its volume? (a) 12 cu cm (b) 56 cu cm (c) 10 cu cm (d) 24 cu cm
28. 28.A cube has edges of 10 cm. What is its volume? (a) 30 cu cm (b) 1000 cu cm (c) 400 cu cm (d) 600 cu cm
29. 29.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 22 cm (b) 44 cm (c) 154 cm (d) 88 cm
30. 30.What is the area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 308 sq cm (b) 2464 sq cm (c) 616 sq cm (d) 88 sq cm
31. 31.What is the circumference of a circle of diameter 42 cm? (Use π = 22/7.) (a) 66 cm (b) 264 cm (c) 132 cm (d) 1386 cm
32. 32.What is the area of a circle of diameter 56 cm? (Use π = 22/7.) (a) 9856 sq cm (b) 2464 sq cm (c) 176 sq cm (d) 1232 sq cm
33. 33.A cuboid is 5 cm long, 3 cm wide and 5 cm high. What is its volume? (a) 13 cu cm (b) 15 cu cm (c) 75 cu cm (d) 110 cu cm
34. 34.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 154 cm (b) 22 cm (c) 88 cm (d) 44 cm
35. 35.A cuboid is 9 cm long, 6 cm wide and 5 cm high. What is its volume? (a) 258 cu cm (b) 270 cu cm (c) 20 cu cm (d) 54 cu cm
36. 36.A cube has edges of 3 cm. What is its volume? (a) 54 cu cm (b) 36 cu cm (c) 27 cu cm (d) 9 cu cm
37. 37.What is the area of a circle of diameter 42 cm? (Use π = 22/7.) (a) 132 sq cm (b) 1386 sq cm (c) 5544 sq cm (d) 693 sq cm
38. 38.A cuboid is 12 cm long, 5 cm wide and 3 cm high. What is its total surface area? (a) 111 sq cm (b) 180 sq cm (c) 444 sq cm (d) 222 sq cm
39. 39.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) 6 times (c) 8 times (d) 2 times
40. 40.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) 6 times (d) 9 times

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