Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 904 · 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 21 cm? (Use π = 22/7.) (a) 264 cm (b) 1386 cm (c) 132 cm (d) 66 cm
2. 2.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
3. 3.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) 25 times (c) 125 times (d) 5 times
4. 4.What is the circumference of a circle of radius 28 cm? (Use π = 22/7.) (a) 352 cm (b) 88 cm (c) 176 cm (d) 2464 cm
5. 5.A cube has edges of 11 cm. What is its volume? (a) 1331 cu cm (b) 33 cu cm (c) 726 cu cm (d) 484 cu cm
6. 6.A cuboid is 4 cm long, 2 cm wide and 5 cm high. What is its volume? (a) 11 cu cm (b) 40 cu cm (c) 76 cu cm (d) 8 cu cm
7. 7.If the side of a square is made 4 times as long, how many times as big does its area become? (a) 16 times (b) 64 times (c) 8 times (d) 4 times
8. 8.A cuboid is 9 cm long, 8 cm wide and 5 cm high. What is its volume? (a) 314 cu cm (b) 72 cu cm (c) 22 cu cm (d) 360 cu cm
9. 9.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 1232 sq cm (c) 9856 sq cm (d) 176 sq cm
10. 10.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
11. 11.What is the area of a circle of diameter 14 cm? (Use π = 22/7.) (a) 77 sq cm (b) 616 sq cm (c) 154 sq cm (d) 44 sq cm
12. 12.If the radius of a circle is made 2 times as long, how many times as big does its area become? (a) 8 times (b) 5 times (c) 2 times (d) 4 times
13. 13.A cuboid is 8 cm long, 3 cm wide and 6 cm high. What is its volume? (a) 17 cu cm (b) 24 cu cm (c) 180 cu cm (d) 144 cu cm
14. 14.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) 64 times (c) 16 times (d) 8 times
15. 15.A cube has edges of 10 cm. What is its total surface area? (a) 100 sq cm (b) 400 sq cm (c) 600 sq cm (d) 1000 sq cm
16. 16.A cuboid is 3 cm long, 2 cm wide and 9 cm high. What is its volume? (a) 6 cu cm (b) 102 cu cm (c) 14 cu cm (d) 54 cu cm
17. 17.What is the circumference of a circle of radius 35 cm? (Use π = 22/7.) (a) 110 cm (b) 220 cm (c) 3850 cm (d) 440 cm
18. 18.What is the circumference of a circle of diameter 56 cm? (Use π = 22/7.) (a) 176 cm (b) 88 cm (c) 352 cm (d) 2464 cm
19. 19.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 88 cm (b) 154 cm (c) 44 cm (d) 22 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) 5 times (b) 125 times (c) 25 times (d) 10 times
21. 21.What is the circumference of a circle of radius 14 cm? (Use π = 22/7.) (a) 616 cm (b) 44 cm (c) 88 cm (d) 176 cm
22. 22.A cuboid is 6 cm long, 4 cm wide and 9 cm high. What is its total surface area? (a) 228 sq cm (b) 456 sq cm (c) 216 sq cm (d) 114 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.If every edge of a cube is made 2 times as long, how many times as big does its surface area become? (a) 4 times (b) 5 times (c) 8 times (d) 2 times
25. 25.If the side of a square is made 5 times as long, how many times as big does its area become? (a) 5 times (b) 125 times (c) 25 times (d) 10 times
26. 26.A cuboid is 12 cm long, 9 cm wide and 7 cm high. What is its volume? (a) 28 cu cm (b) 510 cu cm (c) 756 cu cm (d) 108 cu cm
27. 27.What is the circumference of a circle of diameter 70 cm? (Use π = 22/7.) (a) 3850 cm (b) 220 cm (c) 110 cm (d) 440 cm
28. 28.What is the area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 88 sq cm (c) 308 sq cm (d) 616 sq cm
29. 29.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
30. 30.If every edge of a cube is made 3 times as long, how many times as big does its volume become? (a) 6 times (b) 27 times (c) 9 times (d) 3 times
31. 31.A cuboid is 5 cm long, 3 cm wide and 4 cm high. What is its volume? (a) 94 cu cm (b) 15 cu cm (c) 60 cu cm (d) 12 cu cm
32. 32.A cuboid is 6 cm long, 2 cm wide and 2 cm high. What is its total surface area? (a) 112 sq cm (b) 24 sq cm (c) 56 sq cm (d) 28 sq cm
33. 33.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) 4 times (c) 8 times (d) 16 times
34. 34.If every edge of a cube is made 2 times as long, how many times as big does its volume become? (a) 8 times (b) 2 times (c) 4 times (d) 6 times
35. 35.What is the area of a circle of diameter 56 cm? (Use π = 22/7.) (a) 176 sq cm (b) 9856 sq cm (c) 2464 sq cm (d) 1232 sq cm
36. 36.A cuboid is 5 cm long, 3 cm wide and 8 cm high. What is its volume? (a) 16 cu cm (b) 120 cu cm (c) 158 cu cm (d) 15 cu cm
37. 37.What is the area of a circle of radius 7 cm? (Use π = 22/7.) (a) 44 sq cm (b) 616 sq cm (c) 77 sq cm (d) 154 sq cm
38. 38.A cube has edges of 8 cm. What is its volume? (a) 24 cu cm (b) 256 cu cm (c) 512 cu cm (d) 384 cu cm
39. 39.A cuboid is 6 cm long, 2 cm wide and 7 cm high. What is its total surface area? (a) 272 sq cm (b) 84 sq cm (c) 136 sq cm (d) 68 sq cm
40. 40.A cuboid is 11 cm long, 4 cm wide and 3 cm high. What is its volume? (a) 178 cu cm (b) 132 cu cm (c) 44 cu cm (d) 18 cu cm

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