Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 997 · 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 35 cm? (Use π = 22/7.) (a) 3850 cm (b) 220 cm (c) 110 cm (d) 440 cm
2. 2.What is the circumference of a circle of diameter 56 cm? (Use π = 22/7.) (a) 2464 cm (b) 176 cm (c) 88 cm (d) 352 cm
3. 3.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
4. 4.If every edge of a cube is made 4 times as long, how many times as big does its surface area become? (a) 64 times (b) 8 times (c) 4 times (d) 16 times
5. 5.What is the area of a circle of radius 21 cm? (Use π = 22/7.) (a) 5544 sq cm (b) 693 sq cm (c) 1386 sq cm (d) 132 sq cm
6. 6.What is the circumference of a circle of radius 14 cm? (Use π = 22/7.) (a) 176 cm (b) 616 cm (c) 88 cm (d) 44 cm
7. 7.A cuboid is 10 cm long, 2 cm wide and 9 cm high. What is its volume? (a) 256 cu cm (b) 20 cu cm (c) 21 cu cm (d) 180 cu cm
8. 8.A cuboid is 9 cm long, 7 cm wide and 7 cm high. What is its volume? (a) 23 cu cm (b) 63 cu cm (c) 350 cu cm (d) 441 cu cm
9. 9.A cube has edges of 10 cm. What is its volume? (a) 1000 cu cm (b) 400 cu cm (c) 600 cu cm (d) 30 cu cm
10. 10.What is the circumference of a circle of diameter 28 cm? (Use π = 22/7.) (a) 44 cm (b) 88 cm (c) 616 cm (d) 176 cm
11. 11.What is the circumference of a circle of diameter 42 cm? (Use π = 22/7.) (a) 1386 cm (b) 132 cm (c) 66 cm (d) 264 cm
12. 12.What is the area of a circle of diameter 42 cm? (Use π = 22/7.) (a) 132 sq cm (b) 1386 sq cm (c) 693 sq cm (d) 5544 sq cm
13. 13.What is the circumference of a circle of radius 21 cm? (Use π = 22/7.) (a) 264 cm (b) 66 cm (c) 1386 cm (d) 132 cm
14. 14.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
15. 15.A cuboid is 9 cm long, 2 cm wide and 7 cm high. What is its total surface area? (a) 380 sq cm (b) 126 sq cm (c) 190 sq cm (d) 95 sq cm
16. 16.A cuboid is 12 cm long, 11 cm wide and 10 cm high. What is its volume? (a) 724 cu cm (b) 1320 cu cm (c) 132 cu cm (d) 33 cu cm
17. 17.What is the area of a circle of diameter 56 cm? (Use π = 22/7.) (a) 9856 sq cm (b) 1232 sq cm (c) 2464 sq cm (d) 176 sq cm
18. 18.A cuboid is 11 cm long, 7 cm wide and 5 cm high. What is its total surface area? (a) 334 sq cm (b) 167 sq cm (c) 668 sq cm (d) 385 sq cm
19. 19.If every edge of a cube is made 5 times as long, how many times as big does its surface area become? (a) 10 times (b) 25 times (c) 5 times (d) 125 times
20. 20.If the side of a square is made 5 times as long, how many times as big does its area become? (a) 125 times (b) 10 times (c) 25 times (d) 5 times
21. 21.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
22. 22.What is the area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 616 sq cm (b) 308 sq cm (c) 2464 sq cm (d) 88 sq cm
23. 23.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 9856 sq cm (b) 176 sq cm (c) 1232 sq cm (d) 2464 sq cm
24. 24.A cuboid is 7 cm long, 6 cm wide and 9 cm high. What is its total surface area? (a) 318 sq cm (b) 636 sq cm (c) 378 sq cm (d) 159 sq cm
25. 25.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 154 cm (b) 88 cm (c) 22 cm (d) 44 cm
26. 26.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) 27 times (c) 3 times (d) 6 times
27. 27.A cube has edges of 2 cm. What is its volume? (a) 6 cu cm (b) 8 cu cm (c) 24 cu cm (d) 16 cu cm
28. 28.A cube has edges of 3 cm. What is its volume? (a) 54 cu cm (b) 27 cu cm (c) 9 cu cm (d) 36 cu cm
29. 29.A cube has edges of 7 cm. What is its total surface area? (a) 343 sq cm (b) 49 sq cm (c) 294 sq cm (d) 196 sq cm
30. 30.If the radius of a circle is made 2 times as long, how many times as big does its area become? (a) 5 times (b) 8 times (c) 2 times (d) 4 times
31. 31.A cube has edges of 11 cm. What is its total surface area? (a) 726 sq cm (b) 121 sq cm (c) 1331 sq cm (d) 484 sq cm
32. 32.A cuboid is 4 cm long, 2 cm wide and 8 cm high. What is its total surface area? (a) 112 sq cm (b) 64 sq cm (c) 56 sq cm (d) 224 sq cm
33. 33.A cuboid is 10 cm long, 4 cm wide and 3 cm high. What is its volume? (a) 120 cu cm (b) 164 cu cm (c) 17 cu cm (d) 40 cu cm
34. 34.If the radius of a circle is made 3 times as long, how many times as big does its area become? (a) 27 times (b) 6 times (c) 9 times (d) 3 times
35. 35.If the side of a square is made 4 times as long, how many times as big does its area become? (a) 4 times (b) 64 times (c) 16 times (d) 8 times
36. 36.If every edge of a cube is made 4 times as long, how many times as big does its volume become? (a) 4 times (b) 16 times (c) 64 times (d) 8 times
37. 37.A cuboid is 9 cm long, 6 cm wide and 3 cm high. What is its total surface area? (a) 198 sq cm (b) 99 sq cm (c) 396 sq cm (d) 162 sq cm
38. 38.A cuboid is 10 cm long, 8 cm wide and 4 cm high. What is its total surface area? (a) 320 sq cm (b) 152 sq cm (c) 304 sq cm (d) 608 sq cm
39. 39.A cuboid is 9 cm long, 8 cm wide and 2 cm high. What is its volume? (a) 144 cu cm (b) 212 cu cm (c) 19 cu cm (d) 72 cu cm
40. 40.A cuboid is 10 cm long, 9 cm wide and 7 cm high. What is its volume? (a) 90 cu cm (b) 446 cu cm (c) 630 cu cm (d) 26 cu cm

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