Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 957 · 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.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 240 (b) 32 (c) 120 (d) 60
2. 2.A shopkeeper buys a toy for ₹960 and sells it for ₹720. What is his loss percent? (a) 30% (b) 26% (c) 25% (d) 20%
3. 3.If x/3 + 3 = 9, what is x? (a) 24 (b) 6 (c) 36 (d) 18
4. 4.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 87 (b) 39 (c) 40 (d) 43
5. 5.₹416 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹32 (b) ₹160 (c) ₹208 (d) ₹256
6. 6.In how many years will ₹5500 earn ₹330 simple interest at 3% per year? (a) 1 year (b) 4 years (c) 3 years (d) 2 years
7. 7.₹1500 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹1650 (b) ₹1530 (c) ₹120 (d) ₹1620
8. 8.Every pair follows the same rule: 2 : 4, 4 : 16, 8 : 64. What is 3 : ? (a) 9 (b) 6 (c) 4 (d) 5
9. 9.If 1 October is a Saturday, what day of the week is 14 October? (a) Thursday (b) Friday (c) Saturday (d) Sunday
10. 10.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 81 (b) 65 (c) 32 (d) 57
11. 11.Which fraction is greater: 1/3 or 10/11? (a) 1/3 (b) They are equal (c) 10/11
12. 12.Which is the greatest: 0.082, 0.35, 0.288, 0.3? (a) 0.082 (b) 0.35 (c) 0.288 (d) 0.3
13. 13.What is the average of 15, 31, 15, 22, 15 and 46? (a) 25 (b) 24 (c) 26 (d) 23
14. 14.If 3 August is a Tuesday, what day of the week is 14 August? (a) Saturday (b) Friday (c) Monday (d) Sunday
15. 15.Every pair follows the same rule: 5 : 15, 7 : 19, 9 : 23. What is 2 : ? (a) 12 (b) 10 (c) 9 (d) 6
16. 16.If 8x + 2 = x + 16, what is x? (a) 2 (b) 3 (c) 4 (d) 1
17. 17.If 6 October is a Tuesday, what day of the week is 17 October? (a) Saturday (b) Monday (c) Friday (d) Sunday
18. 18.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 12 min (c) 10 min (d) 2 min
19. 19.What is the average of all the whole numbers from 7 to 43? (a) 18 (b) 36 (c) 26 (d) 25
20. 20.₹4000 is invested at 11% per year simple interest. What is the amount after 2 years? (a) ₹4880 (b) ₹880 (c) ₹5320 (d) ₹4440
21. 21.If 13 January is a Wednesday, what day of the week is 26 January? (a) Wednesday (b) Monday (c) Thursday (d) Tuesday
22. 22.4 workers can build a wall in 14 days. How many days will 2 workers take, working at the same speed? (a) 16 days (b) 7 days (c) 12 days (d) 28 days
23. 23.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 52 (b) 5 (c) 24 (d) 4
24. 24.What is the units digit of 4^38? (a) 4 (b) 6 (c) 5 (d) 7
25. 25.A bag marked ₹1280 is sold at a 10% discount. What is its selling price? (a) ₹1270 (b) ₹128 (c) ₹1152 (d) ₹1408
26. 26.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 60 min (b) 180 min (c) 3 min (d) 27 min
27. 27.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 3 cm (c) 26 cm (d) 4 cm
28. 28.Today is Friday. What day of the week will it be after 73 days? (a) Sunday (b) Monday (c) Tuesday (d) Wednesday
29. 29.Which fraction is greater: 3/4 or 1/9? (a) 1/9 (b) 3/4 (c) They are equal
30. 30.Today is Friday. What day of the week will it be after 19 days? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
31. 31.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 8 (c) 32 (d) 28
32. 32.Which fraction is greater: 1/5 or 3/8? (a) 1/5 (b) 3/8 (c) They are equal
33. 33.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 756 min (c) 126 min (d) 60 min
34. 34.What is 1/9 of 90? (a) 11 (b) 80 (c) 20 (d) 10
35. 35.What is the average of all the whole numbers from 28 to 66? (a) 48 (b) 47 (c) 19 (d) 38
36. 36.What is 25% of 100? (a) 50 (b) 250 (c) 75 (d) 25
37. 37.Which fraction is greater: 7/12 or 1/3? (a) 1/3 (b) They are equal (c) 7/12
38. 38.Which fraction is greater: 3/4 or 6/7? (a) 6/7 (b) 3/4 (c) They are equal
39. 39.What is the simple interest on ₹7000 at 2% per year for 2 years? (a) ₹7280 (b) ₹420 (c) ₹280 (d) ₹140
40. 40.Two bells ring every 15 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 90 min (c) 270 min (d) 33 min

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