Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 123 · 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.A cube has edges of 12 cm. What is its total surface area? (a) 1728 sq cm (b) 864 sq cm (c) 576 sq cm (d) 144 sq cm
2. 2.If every edge of a cube is made 3 times as long, how many times as big does its volume become? (a) 27 times (b) 3 times (c) 6 times (d) 9 times
3. 3.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
4. 4.What is the circumference of a circle of radius 14 cm? (Use π = 22/7.) (a) 88 cm (b) 44 cm (c) 616 cm (d) 176 cm
5. 5.What is the circumference of a circle of radius 35 cm? (Use π = 22/7.) (a) 440 cm (b) 3850 cm (c) 220 cm (d) 110 cm
6. 6.What is the circumference of a circle of diameter 42 cm? (Use π = 22/7.) (a) 66 cm (b) 132 cm (c) 1386 cm (d) 264 cm
7. 7.A cuboid is 10 cm long, 2 cm wide and 9 cm high. What is its total surface area? (a) 256 sq cm (b) 512 sq cm (c) 180 sq cm (d) 128 sq cm
8. 8.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
9. 9.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
10. 10.What is the area of a circle of diameter 56 cm? (Use π = 22/7.) (a) 176 sq cm (b) 9856 sq cm (c) 1232 sq cm (d) 2464 sq cm
11. 11.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) 4 times (d) 2 times
12. 12.What is the circumference of a circle of radius 28 cm? (Use π = 22/7.) (a) 88 cm (b) 2464 cm (c) 176 cm (d) 352 cm
13. 13.What is the area of a circle of diameter 14 cm? (Use π = 22/7.) (a) 616 sq cm (b) 77 sq cm (c) 154 sq cm (d) 44 sq cm
14. 14.A cuboid is 10 cm long, 2 cm wide and 5 cm high. What is its volume? (a) 160 cu cm (b) 20 cu cm (c) 100 cu cm (d) 17 cu cm
15. 15.A cube has edges of 12 cm. What is its volume? (a) 576 cu cm (b) 864 cu cm (c) 1728 cu cm (d) 36 cu cm
16. 16.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
17. 17.If every edge of a cube is made 5 times as long, how many times as big does its volume become? (a) 10 times (b) 125 times (c) 5 times (d) 25 times
18. 18.A cube has edges of 2 cm. What is its volume? (a) 16 cu cm (b) 8 cu cm (c) 6 cu cm (d) 24 cu cm
19. 19.A cuboid is 8 cm long, 4 cm wide and 5 cm high. What is its total surface area? (a) 160 sq cm (b) 368 sq cm (c) 92 sq cm (d) 184 sq cm
20. 20.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) 5 times (c) 125 times (d) 25 times
21. 21.What is the area of a circle of radius 21 cm? (Use π = 22/7.) (a) 132 sq cm (b) 5544 sq cm (c) 693 sq cm (d) 1386 sq cm
22. 22.What is the circumference of a circle of radius 21 cm? (Use π = 22/7.) (a) 66 cm (b) 264 cm (c) 1386 cm (d) 132 cm
23. 23.What is the area of a circle of diameter 42 cm? (Use π = 22/7.) (a) 132 sq cm (b) 5544 sq cm (c) 693 sq cm (d) 1386 sq cm
24. 24.A cuboid is 11 cm long, 2 cm wide and 10 cm high. What is its total surface area? (a) 152 sq cm (b) 220 sq cm (c) 608 sq cm (d) 304 sq cm
25. 25.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 22 cm (b) 154 cm (c) 44 cm (d) 88 cm
26. 26.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) 5 times (c) 4 times (d) 2 times
27. 27.A cuboid is 11 cm long, 6 cm wide and 9 cm high. What is its volume? (a) 66 cu cm (b) 438 cu cm (c) 26 cu cm (d) 594 cu cm
28. 28.A cube has edges of 11 cm. What is its volume? (a) 1331 cu cm (b) 484 cu cm (c) 726 cu cm (d) 33 cu cm
29. 29.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 154 cm (b) 88 cm (c) 44 cm (d) 22 cm
30. 30.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
31. 31.If the side of a square is made 3 times as long, how many times as big does its area become? (a) 6 times (b) 27 times (c) 3 times (d) 9 times
32. 32.A cuboid is 6 cm long, 3 cm wide and 9 cm high. What is its total surface area? (a) 198 sq cm (b) 99 sq cm (c) 162 sq cm (d) 396 sq cm
33. 33.A cuboid is 12 cm long, 7 cm wide and 9 cm high. What is its volume? (a) 756 cu cm (b) 28 cu cm (c) 84 cu cm (d) 510 cu cm
34. 34.A cuboid is 12 cm long, 8 cm wide and 5 cm high. What is its volume? (a) 96 cu cm (b) 480 cu cm (c) 392 cu cm (d) 25 cu cm
35. 35.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
36. 36.A cube has edges of 3 cm. What is its volume? (a) 9 cu cm (b) 54 cu cm (c) 27 cu cm (d) 36 cu cm
37. 37.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) 12 cu cm (d) 21 cu cm
38. 38.A cuboid is 6 cm long, 2 cm wide and 9 cm high. What is its total surface area? (a) 84 sq cm (b) 108 sq cm (c) 336 sq cm (d) 168 sq cm
39. 39.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
40. 40.A cuboid is 12 cm long, 7 cm wide and 8 cm high. What is its volume? (a) 472 cu cm (b) 27 cu cm (c) 84 cu cm (d) 672 cu cm

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad