Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 513 · 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) 144 sq cm (b) 576 sq cm (c) 864 sq cm (d) 1728 sq cm
2. 2.A cuboid is 9 cm long, 7 cm wide and 7 cm high. What is its volume? (a) 441 cu cm (b) 23 cu cm (c) 350 cu cm (d) 63 cu cm
3. 3.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) 4 times (c) 8 times (d) 64 times
4. 4.What is the area of a circle of diameter 42 cm? (Use π = 22/7.) (a) 132 sq cm (b) 693 sq cm (c) 1386 sq cm (d) 5544 sq cm
5. 5.If the radius of a circle is made 4 times as long, how many times as big does its area become? (a) 4 times (b) 16 times (c) 8 times (d) 64 times
6. 6.A cube has edges of 4 cm. What is its total surface area? (a) 97 sq cm (b) 96 sq cm (c) 16 sq cm (d) 64 sq cm
7. 7.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 154 cm (b) 22 cm (c) 44 cm (d) 88 cm
8. 8.If every edge of a cube is made 4 times as long, how many times as big does its volume become? (a) 8 times (b) 64 times (c) 4 times (d) 16 times
9. 9.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
10. 10.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
11. 11.A cube has edges of 6 cm. What is its volume? (a) 216 cu cm (b) 217 cu cm (c) 144 cu cm (d) 18 cu cm
12. 12.If the radius of a circle 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
13. 13.What is the area of a circle of radius 21 cm? (Use π = 22/7.) (a) 1386 sq cm (b) 693 sq cm (c) 5544 sq cm (d) 132 sq cm
14. 14.A cuboid is 11 cm long, 6 cm wide and 2 cm high. What is its total surface area? (a) 100 sq cm (b) 400 sq cm (c) 132 sq cm (d) 200 sq cm
15. 15.What is the circumference of a circle of radius 21 cm? (Use π = 22/7.) (a) 132 cm (b) 66 cm (c) 1386 cm (d) 264 cm
16. 16.What is the area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 308 sq cm (c) 616 sq cm (d) 88 sq cm
17. 17.A cuboid is 9 cm long, 8 cm wide and 8 cm high. What is its volume? (a) 25 cu cm (b) 416 cu cm (c) 576 cu cm (d) 72 cu cm
18. 18.A cuboid is 5 cm long, 2 cm wide and 7 cm high. What is its volume? (a) 118 cu cm (b) 70 cu cm (c) 14 cu cm (d) 10 cu cm
19. 19.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) 25 times (d) 5 times
20. 20.A cuboid is 5 cm long, 4 cm wide and 7 cm high. What is its total surface area? (a) 166 sq cm (b) 140 sq cm (c) 332 sq cm (d) 83 sq cm
21. 21.What is the circumference of a circle of radius 28 cm? (Use π = 22/7.) (a) 2464 cm (b) 88 cm (c) 176 cm (d) 352 cm
22. 22.What is the circumference of a circle of diameter 42 cm? (Use π = 22/7.) (a) 66 cm (b) 1386 cm (c) 264 cm (d) 132 cm
23. 23.If the radius of a circle is made 3 times as long, how many times as big does its area become? (a) 6 times (b) 27 times (c) 9 times (d) 3 times
24. 24.A cube has edges of 7 cm. What is its volume? (a) 343 cu cm (b) 294 cu cm (c) 196 cu cm (d) 21 cu cm
25. 25.What is the area of a circle of diameter 14 cm? (Use π = 22/7.) (a) 44 sq cm (b) 77 sq cm (c) 154 sq cm (d) 616 sq cm
26. 26.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
27. 27.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
28. 28.A cuboid is 12 cm long, 9 cm wide and 10 cm high. What is its total surface area? (a) 1080 sq cm (b) 318 sq cm (c) 1272 sq cm (d) 636 sq cm
29. 29.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 9856 sq cm (b) 2464 sq cm (c) 1232 sq cm (d) 176 sq cm
30. 30.A cuboid is 6 cm long, 5 cm wide and 7 cm high. What is its total surface area? (a) 428 sq cm (b) 210 sq cm (c) 214 sq cm (d) 107 sq cm
31. 31.If every edge of a cube is made 4 times as long, how many times as big does its surface area become? (a) 8 times (b) 16 times (c) 4 times (d) 64 times
32. 32.A cube has edges of 6 cm. What is its total surface area? (a) 216 sq cm (b) 217 sq cm (c) 36 sq cm (d) 144 sq cm
33. 33.A cuboid is 4 cm long, 3 cm wide and 3 cm high. What is its total surface area? (a) 132 sq cm (b) 36 sq cm (c) 66 sq cm (d) 33 sq cm
34. 34.A cuboid is 9 cm long, 6 cm wide and 5 cm high. What is its volume? (a) 270 cu cm (b) 20 cu cm (c) 258 cu cm (d) 54 cu cm
35. 35.What is the area of a circle of diameter 56 cm? (Use π = 22/7.) (a) 1232 sq cm (b) 176 sq cm (c) 9856 sq cm (d) 2464 sq cm
36. 36.A cube has edges of 2 cm. What is its total surface area? (a) 24 sq cm (b) 16 sq cm (c) 4 sq cm (d) 8 sq cm
37. 37.What is the area of a circle of radius 14 cm? (Use π = 22/7.) (a) 616 sq cm (b) 88 sq cm (c) 2464 sq cm (d) 308 sq cm
38. 38.A cuboid is 5 cm long, 4 cm wide and 3 cm high. What is its volume? (a) 94 cu cm (b) 60 cu cm (c) 12 cu cm (d) 20 cu cm
39. 39.A cuboid is 5 cm long, 4 cm wide and 4 cm high. What is its total surface area? (a) 80 sq cm (b) 224 sq cm (c) 56 sq cm (d) 112 sq cm
40. 40.A cuboid is 7 cm long, 2 cm wide and 2 cm high. What is its total surface area? (a) 28 sq cm (b) 32 sq cm (c) 128 sq cm (d) 64 sq cm

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