Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 232 · 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 the radius of a circle 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
2. 2.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 9856 sq cm (b) 1232 sq cm (c) 176 sq cm (d) 2464 sq cm
3. 3.What is the circumference of a circle of radius 35 cm? (Use π = 22/7.) (a) 440 cm (b) 110 cm (c) 3850 cm (d) 220 cm
4. 4.What is the area of a circle of radius 14 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 616 sq cm (c) 88 sq cm (d) 308 sq cm
5. 5.What is the circumference of a circle of diameter 28 cm? (Use π = 22/7.) (a) 44 cm (b) 88 cm (c) 176 cm (d) 616 cm
6. 6.A cube has edges of 6 cm. What is its total surface area? (a) 216 sq cm (b) 36 sq cm (c) 217 sq cm (d) 144 sq cm
7. 7.What is the area of a circle of diameter 56 cm? (Use π = 22/7.) (a) 9856 sq cm (b) 176 sq cm (c) 2464 sq cm (d) 1232 sq cm
8. 8.What is the circumference of a circle of diameter 56 cm? (Use π = 22/7.) (a) 352 cm (b) 88 cm (c) 2464 cm (d) 176 cm
9. 9.A cuboid is 5 cm long, 2 cm wide and 2 cm high. What is its volume? (a) 48 cu cm (b) 20 cu cm (c) 10 cu cm (d) 9 cu cm
10. 10.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
11. 11.A cuboid is 12 cm long, 2 cm wide and 7 cm high. What is its total surface area? (a) 244 sq cm (b) 488 sq cm (c) 168 sq cm (d) 122 sq cm
12. 12.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 154 cm (b) 88 cm (c) 22 cm (d) 44 cm
13. 13.A cuboid is 3 cm long, 2 cm wide and 2 cm high. What is its volume? (a) 7 cu cm (b) 6 cu cm (c) 12 cu cm (d) 32 cu cm
14. 14.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 154 cm (b) 44 cm (c) 88 cm (d) 22 cm
15. 15.What is the area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 616 sq cm (b) 2464 sq cm (c) 88 sq cm (d) 308 sq cm
16. 16.What is the area of a circle of radius 21 cm? (Use π = 22/7.) (a) 693 sq cm (b) 1386 sq cm (c) 5544 sq cm (d) 132 sq cm
17. 17.A cuboid is 10 cm long, 7 cm wide and 2 cm high. What is its volume? (a) 19 cu cm (b) 70 cu cm (c) 140 cu cm (d) 208 cu cm
18. 18.A cuboid is 6 cm long, 2 cm wide and 3 cm high. What is its volume? (a) 36 cu cm (b) 72 cu cm (c) 11 cu cm (d) 12 cu cm
19. 19.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) 16 times (c) 64 times (d) 4 times
20. 20.What is the circumference of a circle of radius 28 cm? (Use π = 22/7.) (a) 352 cm (b) 2464 cm (c) 88 cm (d) 176 cm
21. 21.If the side of a square is made 2 times as long, how many times as big does its area become? (a) 2 times (b) 8 times (c) 4 times (d) 5 times
22. 22.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) 16 times (c) 8 times (d) 4 times
23. 23.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
24. 24.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
25. 25.What is the circumference of a circle of diameter 70 cm? (Use π = 22/7.) (a) 110 cm (b) 3850 cm (c) 220 cm (d) 440 cm
26. 26.A cuboid is 4 cm long, 3 cm wide and 9 cm high. What is its total surface area? (a) 108 sq cm (b) 300 sq cm (c) 75 sq cm (d) 150 sq cm
27. 27.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) 2 times (c) 6 times (d) 8 times
28. 28.A cube has edges of 5 cm. What is its total surface area? (a) 100 sq cm (b) 25 sq cm (c) 125 sq cm (d) 150 sq cm
29. 29.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
30. 30.A cube has edges of 3 cm. What is its total surface area? (a) 27 sq cm (b) 36 sq cm (c) 9 sq cm (d) 54 sq cm
31. 31.A cuboid is 3 cm long, 2 cm wide and 3 cm high. What is its volume? (a) 42 cu cm (b) 8 cu cm (c) 6 cu cm (d) 18 cu cm
32. 32.A cuboid is 4 cm long, 2 cm wide and 6 cm high. What is its volume? (a) 88 cu cm (b) 8 cu cm (c) 48 cu cm (d) 12 cu cm
33. 33.A cube has edges of 2 cm. What is its total surface area? (a) 24 sq cm (b) 8 sq cm (c) 16 sq cm (d) 4 sq cm
34. 34.A cuboid is 5 cm long, 3 cm wide and 9 cm high. What is its volume? (a) 15 cu cm (b) 17 cu cm (c) 135 cu cm (d) 174 cu cm
35. 35.A cuboid is 6 cm long, 2 cm wide and 4 cm high. What is its total surface area? (a) 48 sq cm (b) 88 sq cm (c) 44 sq cm (d) 176 sq cm
36. 36.A cuboid is 12 cm long, 3 cm wide and 8 cm high. What is its total surface area? (a) 624 sq cm (b) 312 sq cm (c) 156 sq cm (d) 288 sq cm
37. 37.A cuboid is 4 cm long, 3 cm wide and 2 cm high. What is its volume? (a) 24 cu cm (b) 12 cu cm (c) 52 cu cm (d) 9 cu cm
38. 38.What is the area of a circle of diameter 14 cm? (Use π = 22/7.) (a) 77 sq cm (b) 154 sq cm (c) 44 sq cm (d) 616 sq cm
39. 39.A cuboid is 12 cm long, 7 cm wide and 7 cm high. What is its total surface area? (a) 217 sq cm (b) 588 sq cm (c) 434 sq cm (d) 868 sq cm
40. 40.A cube has edges of 12 cm. What is its volume? (a) 1728 cu cm (b) 36 cu cm (c) 864 cu cm (d) 576 cu cm

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