Mensuration Worksheet for Maths Olympiad

Maths Olympiad topic 26: Mensuration: circles, surface area and volume · Set 688 · 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 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
2. 2.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) 2 times (c) 4 times (d) 5 times
3. 3.What is the area of a circle of diameter 42 cm? (Use π = 22/7.) (a) 1386 sq cm (b) 132 sq cm (c) 5544 sq cm (d) 693 sq cm
4. 4.What is the circumference of a circle of diameter 14 cm? (Use π = 22/7.) (a) 44 cm (b) 88 cm (c) 154 cm (d) 22 cm
5. 5.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
6. 6.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) 5 times (c) 8 times (d) 4 times
7. 7.What is the area of a circle of radius 21 cm? (Use π = 22/7.) (a) 5544 sq cm (b) 1386 sq cm (c) 693 sq cm (d) 132 sq cm
8. 8.What is the circumference of a circle of radius 7 cm? (Use π = 22/7.) (a) 22 cm (b) 44 cm (c) 154 cm (d) 88 cm
9. 9.A cuboid is 4 cm long, 2 cm wide and 9 cm high. What is its total surface area? (a) 248 sq cm (b) 124 sq cm (c) 72 sq cm (d) 62 sq cm
10. 10.A cube has edges of 8 cm. What is its volume? (a) 384 cu cm (b) 24 cu cm (c) 512 cu cm (d) 256 cu cm
11. 11.A cuboid is 8 cm long, 2 cm wide and 4 cm high. What is its total surface area? (a) 224 sq cm (b) 64 sq cm (c) 112 sq cm (d) 56 sq cm
12. 12.A cuboid is 11 cm long, 9 cm wide and 4 cm high. What is its total surface area? (a) 179 sq cm (b) 396 sq cm (c) 358 sq cm (d) 716 sq cm
13. 13.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) 2 times (c) 4 times (d) 8 times
14. 14.A cuboid is 12 cm long, 8 cm wide and 3 cm high. What is its total surface area? (a) 156 sq cm (b) 624 sq cm (c) 288 sq cm (d) 312 sq cm
15. 15.A cube has edges of 11 cm. What is its volume? (a) 726 cu cm (b) 33 cu cm (c) 484 cu cm (d) 1331 cu cm
16. 16.A cuboid is 6 cm long, 5 cm wide and 5 cm high. What is its volume? (a) 30 cu cm (b) 150 cu cm (c) 16 cu cm (d) 170 cu cm
17. 17.A cube has edges of 10 cm. What is its total surface area? (a) 100 sq cm (b) 400 sq cm (c) 1000 sq cm (d) 600 sq cm
18. 18.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) 25 times (c) 10 times (d) 125 times
19. 19.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
20. 20.A cuboid is 5 cm long, 4 cm wide and 6 cm high. What is its volume? (a) 15 cu cm (b) 20 cu cm (c) 148 cu cm (d) 120 cu cm
21. 21.What is the area of a circle of radius 14 cm? (Use π = 22/7.) (a) 88 sq cm (b) 616 sq cm (c) 308 sq cm (d) 2464 sq cm
22. 22.What is the area of a circle of radius 7 cm? (Use π = 22/7.) (a) 77 sq cm (b) 44 sq cm (c) 154 sq cm (d) 616 sq cm
23. 23.A cube has edges of 9 cm. What is its volume? (a) 324 cu cm (b) 27 cu cm (c) 729 cu cm (d) 486 cu cm
24. 24.A cuboid is 9 cm long, 6 cm wide and 8 cm high. What is its total surface area? (a) 174 sq cm (b) 696 sq cm (c) 348 sq cm (d) 432 sq cm
25. 25.What is the circumference of a circle of radius 14 cm? (Use π = 22/7.) (a) 616 cm (b) 176 cm (c) 88 cm (d) 44 cm
26. 26.What is the circumference of a circle of diameter 28 cm? (Use π = 22/7.) (a) 176 cm (b) 44 cm (c) 88 cm (d) 616 cm
27. 27.What is the circumference of a circle of diameter 70 cm? (Use π = 22/7.) (a) 3850 cm (b) 440 cm (c) 220 cm (d) 110 cm
28. 28.A cuboid is 5 cm long, 3 cm wide and 10 cm high. What is its total surface area? (a) 150 sq cm (b) 380 sq cm (c) 95 sq cm (d) 190 sq cm
29. 29.What is the area of a circle of diameter 28 cm? (Use π = 22/7.) (a) 616 sq cm (b) 2464 sq cm (c) 308 sq cm (d) 88 sq cm
30. 30.What is the area of a circle of diameter 14 cm? (Use π = 22/7.) (a) 154 sq cm (b) 44 sq cm (c) 77 sq cm (d) 616 sq cm
31. 31.A cuboid is 12 cm long, 2 cm wide and 5 cm high. What is its total surface area? (a) 376 sq cm (b) 120 sq cm (c) 94 sq cm (d) 188 sq cm
32. 32.What is the area of a circle of radius 28 cm? (Use π = 22/7.) (a) 2464 sq cm (b) 9856 sq cm (c) 176 sq cm (d) 1232 sq cm
33. 33.A cube has edges of 12 cm. What is its volume? (a) 1728 cu cm (b) 576 cu cm (c) 36 cu cm (d) 864 cu cm
34. 34.A cuboid is 5 cm long, 3 cm wide and 3 cm high. What is its total surface area? (a) 78 sq cm (b) 45 sq cm (c) 156 sq cm (d) 39 sq cm
35. 35.If every edge of a cube is made 4 times as long, how many times as big does its volume become? (a) 16 times (b) 4 times (c) 8 times (d) 64 times
36. 36.A cuboid is 10 cm long, 4 cm wide and 9 cm high. What is its total surface area? (a) 360 sq cm (b) 166 sq cm (c) 332 sq cm (d) 664 sq cm
37. 37.A cube has edges of 6 cm. What is its volume? (a) 144 cu cm (b) 216 cu cm (c) 217 cu cm (d) 18 cu cm
38. 38.A cube has edges of 3 cm. What is its total surface area? (a) 54 sq cm (b) 9 sq cm (c) 27 sq cm (d) 36 sq cm
39. 39.A cuboid is 10 cm long, 4 cm wide and 4 cm high. What is its volume? (a) 40 cu cm (b) 160 cu cm (c) 192 cu cm (d) 18 cu cm
40. 40.A cube has edges of 3 cm. What is its volume? (a) 27 cu cm (b) 54 cu cm (c) 9 cu cm (d) 36 cu cm

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