Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 140 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.Every pair follows the same rule: 2 : 9, 5 : 24, 9 : 44. What is 4 : ? (a) 11 (b) 18 (c) 20 (d) 19
2. 2.Today is Monday. What day of the week will it be after 36 days? (a) Tuesday (b) Thursday (c) Monday (d) Wednesday
3. 3.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 4 : ? (a) 90 (b) 64 (c) 16 (d) 10
4. 4.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 38 cm (d) 48 cm
5. 5.₹423 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹282 (b) ₹188 (c) ₹47 (d) ₹235
6. 6.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 216 min (c) 6 min (d) 30 min
7. 7.Which is the greatest: 0.615, 0.76, 0.086, 0.7? (a) 0.615 (b) 0.76 (c) 0.086 (d) 0.7
8. 8.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 153 cm (c) 10 cm (d) 20 cm
9. 9.If 5 October is a Friday, what day of the week is 13 October? (a) Friday (b) Monday (c) Sunday (d) Saturday
10. 10.What is the smallest number you must add to 134 to make it divisible by 4? (a) 2 (b) 3 (c) 1
11. 11.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 2 min (c) 24 min (d) 48 min
12. 12.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 315 (b) 105 (c) 36 (d) 210
13. 13.What is 40% of 320? (a) 192 (b) 1280 (c) 128 (d) 256
14. 14.8.28 + 1.5 = ? (a) 8.43 (b) 9.78 (c) 9.68 (d) 9.88
15. 15.What is the average of all the whole numbers from 19 to 41? (a) 22 (b) 31 (c) 30 (d) 11
16. 16.If 8x − 23 = 73, what is x? (a) 12 (b) 96 (c) 13 (d) 11
17. 17.What is the units digit of 7^35? (a) 9 (b) 1 (c) 7 (d) 3
18. 18.If 2 January is a Wednesday, what day of the week is 10 January? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
19. 19.₹1000 is invested at 6% per year simple interest. What is the amount after 5 years? (a) ₹1060 (b) ₹1300 (c) ₹300 (d) ₹1360
20. 20.If 3x + 8 = 47, what is x? (a) 12 (b) 13 (c) 39 (d) 14
21. 21.Which fraction is greater: 1/7 or 2/3? (a) 1/7 (b) 2/3 (c) They are equal
22. 22.A bag marked ₹620 is sold at a 30% discount. What is its selling price? (a) ₹806 (b) ₹590 (c) ₹186 (d) ₹434
23. 23.In how many years will ₹4000 earn ₹720 simple interest at 6% per year? (a) 2 years (b) 3 years (c) 6 years (d) 4 years
24. 24.If 7x + 18 = 39, what is x? (a) 21 (b) 3 (c) 2 (d) 4
25. 25.Which is the smallest: 0.7, 0.636, 0.77, 0.092? (a) 0.7 (b) 0.636 (c) 0.77 (d) 0.092
26. 26.Which is the greatest: 0.029, 0.43, 0.374, 0.4? (a) 0.029 (b) 0.43 (c) 0.374 (d) 0.4
27. 27.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 24 (b) 20 (c) 48 (d) 96
28. 28.Which fraction is greater: 4/5 or 3/11? (a) 3/11 (b) 4/5 (c) They are equal
29. 29.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 2 min (c) 22 min (d) 120 min
30. 30.Two ribbons are 12 cm and 32 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 12 cm (c) 20 cm (d) 2 cm
31. 31.4/6 + 5/8 = ? (a) 31/24 (b) 5/4 (c) 9/14 (d) 4/3
32. 32.5.11 + 9.1 = ? (a) 14.31 (b) 14.21 (c) 14.11 (d) 6.02
33. 33.Today is Wednesday. What day of the week will it be after 56 days? (a) Thursday (b) Wednesday (c) Tuesday (d) Friday
34. 34.A shopkeeper buys a toy for ₹500 and sells it for ₹700. What is his profit percent? (a) 41% (b) 35% (c) 40% (d) 45%
35. 35.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
36. 36.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 78 cm
37. 37.A bag marked ₹920 is sold at a 25% discount. What is its selling price? (a) ₹895 (b) ₹230 (c) ₹690 (d) ₹1150
38. 38.8.38 + 9.3 = ? (a) 17.78 (b) 9.31 (c) 17.68 (d) 17.58
39. 39.What is the average of all the whole numbers from 10 to 40? (a) 26 (b) 15 (c) 25 (d) 30
40. 40.If 3 January is a Sunday, what day of the week is 11 January? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday

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