Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 963 · 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.₹1500 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹300 (b) ₹1575 (c) ₹1875 (d) ₹1800
2. 2.Every pair follows the same rule: 3 : 9, 5 : 25, 8 : 64. What is 4 : ? (a) 10 (b) 12 (c) 16 (d) 17
3. 3.Which is the greatest: 0.074, 0.622, 0.71, 0.7? (a) 0.074 (b) 0.622 (c) 0.71 (d) 0.7
4. 4.What is the remainder when 63 is divided by 6? (a) 4 (b) 5 (c) 2 (d) 3
5. 5.What is 30% of 740? (a) 2220 (b) 444 (c) 222 (d) 518
6. 6.6 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 14 days (b) 6 days (c) 5 days (d) 7 days
7. 7.A shopkeeper buys a toy for ₹400 and sells it for ₹560. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
8. 8.If 8x − 14 = 2, what is x? (a) 1 (b) 2 (c) 3 (d) 16
9. 9.What is 2/7 of 56? (a) 8 (b) 16 (c) 40 (d) 24
10. 10.What is the smallest number of sweets that can be shared equally among 15 children or among 21 children, with none left over? (a) 210 (b) 105 (c) 315 (d) 36
11. 11.₹658 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹235 (b) ₹423 (c) ₹329 (d) ₹47
12. 12.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 72 min (c) 42 min (d) 432 min
13. 13.Two ribbons are 72 cm and 81 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 72 cm (b) 648 cm (c) 3 cm (d) 9 cm
14. 14.If 10 January is a Tuesday, what day of the week is 19 January? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
15. 15.Which of these numbers is divisible by 6? (a) 3017 (b) 3022 (c) 3012 (d) 3009
16. 16.Which fraction is greater: 1/11 or 3/8? (a) They are equal (b) 3/8 (c) 1/11
17. 17.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 28 min (c) 192 min (d) 48 min
18. 18.What is the average of 62, 70, 70 and 78? (a) 71 (b) 69 (c) 70 (d) 72
19. 19.If 3 kites cost ₹27, how much do 8 kites cost? (a) ₹216 (b) ₹81 (c) ₹72 (d) ₹32
20. 20.Which of these numbers is divisible by 3? (a) 1488 (b) 1487 (c) 1492 (d) 1490
21. 21.If x/3 + 5 = 9, what is x? (a) 22 (b) 42 (c) 4 (d) 12
22. 22.Every pair follows the same rule: 4 : 24, 6 : 36, 8 : 48. What is 2 : ? (a) 13 (b) 11 (c) 12 (d) 22
23. 23.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 23 cm (c) 14 cm (d) 45 cm
24. 24.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 24 cm (c) 10 cm (d) 5 cm
25. 25.Every pair follows the same rule: 3 : 9, 4 : 16, 6 : 36. What is 7 : ? (a) 49 (b) 21 (c) 13 (d) 46
26. 26.Two ribbons are 32 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 40 cm (c) 4 cm (d) 32 cm
27. 27.Today is Wednesday. What day of the week will it be after 85 days? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
28. 28.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 84 min (c) 42 min (d) 20 min
29. 29.2/5 + 2/6 = ? (a) 7/10 (b) 11/15 (c) 4/11 (d) 23/30
30. 30.What is 5% of 140? (a) 14 (b) 70 (c) 7 (d) 133
31. 31.The simple interest on ₹4500 for 2 years is ₹180. What is the rate per year? (a) 1% (b) 4% (c) 2% (d) 3%
32. 32.1/8 + 1/2 = ? (a) 3/4 (b) 1/5 (c) 5/8 (d) 1/2
33. 33.Two ribbons are 9 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 9 cm (c) 3 cm (d) 12 cm
34. 34.What is 1/7 of 70? (a) 20 (b) 10 (c) 11 (d) 60
35. 35.What is the average of all the whole numbers from 16 to 22? (a) 3 (b) 6 (c) 20 (d) 19
36. 36.If 2 January is a Sunday, what day of the week is 15 January? (a) Sunday (b) Saturday (c) Friday (d) Monday
37. 37.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 10 cm (c) 56 cm (d) 5 cm
38. 38.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 8 cm (d) 12 cm
39. 39.A bag marked ₹320 is sold at a 20% discount. What is its selling price? (a) ₹64 (b) ₹300 (c) ₹384 (d) ₹256
40. 40.A shopkeeper buys a toy for ₹1000 and sells it for ₹800. What is his loss percent? (a) 20% (b) 15% (c) 21% (d) 25%

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