Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 351 · 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) 44 sq cm (b) 154 sq cm (c) 77 sq cm (d) 616 sq cm
2. 2.What is the circumference of a circle of diameter 42 cm? (Use π = 22/7.) (a) 66 cm (b) 264 cm (c) 1386 cm (d) 132 cm
3. 3.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) 125 times (c) 10 times (d) 25 times
4. 4.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) 8 times (d) 4 times
5. 5.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) 125 times (d) 25 times
6. 6.What is the circumference of a circle of radius 35 cm? (Use π = 22/7.) (a) 440 cm (b) 110 cm (c) 3850 cm (d) 220 cm
7. 7.What is the area of a circle of diameter 56 cm? (Use π = 22/7.) (a) 176 sq cm (b) 1232 sq cm (c) 9856 sq cm (d) 2464 sq cm
8. 8.What is the circumference of a circle of diameter 56 cm? (Use π = 22/7.) (a) 88 cm (b) 2464 cm (c) 352 cm (d) 176 cm
9. 9.What is the circumference of a circle of radius 28 cm? (Use π = 22/7.) (a) 2464 cm (b) 352 cm (c) 176 cm (d) 88 cm
10. 10.If the side of a square is made 3 times as long, how many times as big does its area become? (a) 9 times (b) 27 times (c) 3 times (d) 6 times
11. 11.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
12. 12.What is the circumference of a circle of diameter 70 cm? (Use π = 22/7.) (a) 220 cm (b) 110 cm (c) 3850 cm (d) 440 cm
13. 13.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) 25 times (c) 125 times (d) 10 times
14. 14.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
15. 15.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
16. 16.A cuboid is 10 cm long, 9 cm wide and 6 cm high. What is its total surface area? (a) 540 sq cm (b) 408 sq cm (c) 204 sq cm (d) 816 sq cm
17. 17.A cuboid is 7 cm long, 6 cm wide and 6 cm high. What is its total surface area? (a) 120 sq cm (b) 252 sq cm (c) 240 sq cm (d) 480 sq cm
18. 18.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
19. 19.A cuboid is 8 cm long, 2 cm wide and 9 cm high. What is its total surface area? (a) 424 sq cm (b) 106 sq cm (c) 144 sq cm (d) 212 sq cm
20. 20.A cuboid is 9 cm long, 2 cm wide and 9 cm high. What is its total surface area? (a) 162 sq cm (b) 117 sq cm (c) 234 sq cm (d) 468 sq cm
21. 21.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) 2 times (c) 5 times (d) 8 times
22. 22.A cuboid is 11 cm long, 2 cm wide and 2 cm high. What is its volume? (a) 15 cu cm (b) 96 cu cm (c) 22 cu cm (d) 44 cu cm
23. 23.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
24. 24.A cube has edges of 8 cm. What is its total surface area? (a) 64 sq cm (b) 512 sq cm (c) 256 sq cm (d) 384 sq cm
25. 25.A cuboid is 7 cm long, 3 cm wide and 2 cm high. What is its volume? (a) 42 cu cm (b) 82 cu cm (c) 21 cu cm (d) 12 cu cm
26. 26.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) 8 times (c) 16 times (d) 64 times
27. 27.What is the area of a circle of radius 14 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 308 sq cm (c) 88 sq cm (d) 616 sq cm
28. 28.A cuboid is 9 cm long, 4 cm wide and 10 cm high. What is its total surface area? (a) 664 sq cm (b) 332 sq cm (c) 166 sq cm (d) 360 sq cm
29. 29.A cuboid is 10 cm long, 2 cm wide and 7 cm high. What is its volume? (a) 208 cu cm (b) 140 cu cm (c) 20 cu cm (d) 19 cu cm
30. 30.A cube has edges of 7 cm. What is its total surface area? (a) 196 sq cm (b) 294 sq cm (c) 49 sq cm (d) 343 sq cm
31. 31.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 44 cm (b) 88 cm (c) 22 cm (d) 154 cm
32. 32.A cuboid is 11 cm long, 4 cm wide and 5 cm high. What is its volume? (a) 44 cu cm (b) 20 cu cm (c) 220 cu cm (d) 238 cu cm
33. 33.If the radius of a circle is made 4 times as long, how many times as big does its area become? (a) 8 times (b) 64 times (c) 16 times (d) 4 times
34. 34.What is the area of a circle of diameter 42 cm? (Use π = 22/7.) (a) 1386 sq cm (b) 132 sq cm (c) 693 sq cm (d) 5544 sq cm
35. 35.A cuboid is 9 cm long, 6 cm wide and 9 cm high. What is its total surface area? (a) 756 sq cm (b) 189 sq cm (c) 378 sq cm (d) 486 sq cm
36. 36.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 88 cm (b) 22 cm (c) 44 cm (d) 154 cm
37. 37.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) 5 times (c) 125 times (d) 25 times
38. 38.A cuboid is 10 cm long, 7 cm wide and 2 cm high. What is its total surface area? (a) 208 sq cm (b) 416 sq cm (c) 140 sq cm (d) 104 sq cm
39. 39.A cube has edges of 11 cm. What is its volume? (a) 726 cu cm (b) 1331 cu cm (c) 33 cu cm (d) 484 cu cm
40. 40.A cuboid is 6 cm long, 5 cm wide and 2 cm high. What is its total surface area? (a) 208 sq cm (b) 60 sq cm (c) 52 sq cm (d) 104 sq cm

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