Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 97 · 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.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) 4 times (c) 2 times (d) 8 times
2. 2.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
3. 3.What is the circumference of a circle of diameter 70 cm? (Use π = 22/7.) (a) 220 cm (b) 440 cm (c) 3850 cm (d) 110 cm
4. 4.If every edge of a cube is made 3 times as long, how many times as big does its surface area become? (a) 3 times (b) 6 times (c) 27 times (d) 9 times
5. 5.A cuboid is 8 cm long, 4 cm wide and 6 cm high. What is its total surface area? (a) 416 sq cm (b) 104 sq cm (c) 192 sq cm (d) 208 sq cm
6. 6.If the radius of a circle is made 3 times as long, how many times as big does its area become? (a) 3 times (b) 9 times (c) 6 times (d) 27 times
7. 7.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 22 cm (b) 44 cm (c) 154 cm (d) 88 cm
8. 8.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 176 sq cm (b) 9856 sq cm (c) 2464 sq cm (d) 1232 sq cm
9. 9.What is the circumference of a circle of diameter 42 cm? (Use π = 22/7.) (a) 132 cm (b) 264 cm (c) 66 cm (d) 1386 cm
10. 10.A cuboid is 8 cm long, 7 cm wide and 10 cm high. What is its total surface area? (a) 824 sq cm (b) 412 sq cm (c) 206 sq cm (d) 560 sq cm
11. 11.A cuboid is 11 cm long, 4 cm wide and 8 cm high. What is its volume? (a) 352 cu cm (b) 328 cu cm (c) 23 cu cm (d) 44 cu cm
12. 12.A cube has edges of 8 cm. What is its total surface area? (a) 64 sq cm (b) 384 sq cm (c) 256 sq cm (d) 512 sq cm
13. 13.What is the area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 308 sq cm (c) 88 sq cm (d) 616 sq cm
14. 14.What is the circumference of a circle of radius 28 cm? (Use π = 22/7.) (a) 88 cm (b) 2464 cm (c) 352 cm (d) 176 cm
15. 15.A cuboid is 6 cm long, 3 cm wide and 4 cm high. What is its volume? (a) 108 cu cm (b) 18 cu cm (c) 72 cu cm (d) 13 cu cm
16. 16.A cuboid is 7 cm long, 2 cm wide and 4 cm high. What is its total surface area? (a) 50 sq cm (b) 56 sq cm (c) 200 sq cm (d) 100 sq cm
17. 17.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 44 cm (b) 154 cm (c) 22 cm (d) 88 cm
18. 18.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) 9 times (c) 3 times (d) 6 times
19. 19.What is the circumference of a circle of diameter 28 cm? (Use π = 22/7.) (a) 616 cm (b) 88 cm (c) 44 cm (d) 176 cm
20. 20.A cuboid is 7 cm long, 3 cm wide and 3 cm high. What is its total surface area? (a) 204 sq cm (b) 63 sq cm (c) 102 sq cm (d) 51 sq cm
21. 21.A cuboid is 7 cm long, 2 cm wide and 2 cm high. What is its volume? (a) 11 cu cm (b) 64 cu cm (c) 14 cu cm (d) 28 cu cm
22. 22.A cuboid is 5 cm long, 2 cm wide and 3 cm high. What is its total surface area? (a) 31 sq cm (b) 62 sq cm (c) 124 sq cm (d) 30 sq cm
23. 23.What is the area of a circle of radius 14 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 616 sq cm (c) 308 sq cm (d) 88 sq cm
24. 24.A cuboid is 9 cm long, 7 cm wide and 7 cm high. What is its volume? (a) 350 cu cm (b) 63 cu cm (c) 23 cu cm (d) 441 cu cm
25. 25.If the radius of a circle is made 2 times as long, how many times as big does its area become? (a) 4 times (b) 5 times (c) 8 times (d) 2 times
26. 26.What is the area of a circle of diameter 14 cm? (Use π = 22/7.) (a) 616 sq cm (b) 77 sq cm (c) 44 sq cm (d) 154 sq cm
27. 27.A cube has edges of 3 cm. What is its volume? (a) 9 cu cm (b) 54 cu cm (c) 36 cu cm (d) 27 cu cm
28. 28.A cuboid is 5 cm long, 4 cm wide and 4 cm high. What is its volume? (a) 80 cu cm (b) 20 cu cm (c) 13 cu cm (d) 112 cu cm
29. 29.A cuboid is 4 cm long, 3 cm wide and 10 cm high. What is its volume? (a) 120 cu cm (b) 12 cu cm (c) 17 cu cm (d) 164 cu cm
30. 30.If every edge of a cube is made 5 times as long, how many times as big does its surface area become? (a) 125 times (b) 5 times (c) 10 times (d) 25 times
31. 31.If the radius of a circle is made 5 times as long, how many times as big does its area become? (a) 25 times (b) 125 times (c) 10 times (d) 5 times
32. 32.A cuboid is 4 cm long, 2 cm wide and 8 cm high. What is its total surface area? (a) 224 sq cm (b) 64 sq cm (c) 56 sq cm (d) 112 sq cm
33. 33.A cube has edges of 4 cm. What is its volume? (a) 96 cu cm (b) 12 cu cm (c) 65 cu cm (d) 64 cu cm
34. 34.A cuboid is 7 cm long, 5 cm wide and 2 cm high. What is its volume? (a) 35 cu cm (b) 70 cu cm (c) 14 cu cm (d) 118 cu cm
35. 35.A cube has edges of 3 cm. What is its total surface area? (a) 54 sq cm (b) 36 sq cm (c) 27 sq cm (d) 9 sq cm
36. 36.If every edge of a cube is made 4 times as long, how many times as big does its surface area become? (a) 16 times (b) 8 times (c) 64 times (d) 4 times
37. 37.What is the circumference of a circle of radius 35 cm? (Use π = 22/7.) (a) 3850 cm (b) 440 cm (c) 110 cm (d) 220 cm
38. 38.What is the circumference of a circle of diameter 56 cm? (Use π = 22/7.) (a) 176 cm (b) 2464 cm (c) 88 cm (d) 352 cm
39. 39.What is the area of a circle of diameter 56 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 9856 sq cm (c) 1232 sq cm (d) 176 sq cm
40. 40.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) 4 times (d) 8 times

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