Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 598 · 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 : 12, 3 : 17, 9 : 89. What is 5 : ? (a) 15 (b) 30 (c) 33 (d) 41
2. 2.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 84 min (c) 33 min (d) 252 min
3. 3.What is the value of the digit 4 in 81.479? (a) 0.04 (b) 0.004 (c) 4 (d) 0.4
4. 4.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 55 (b) 30 (c) 31 (d) 37
5. 5.What is 1/5 of 50? (a) 40 (b) 20 (c) 11 (d) 10
6. 6.If 5 July is a Sunday, what day of the week is 21 July? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
7. 7.Every pair follows the same rule: 4 : 22, 6 : 32, 8 : 42. What is 5 : ? (a) 26 (b) 23 (c) 28 (d) 27
8. 8.If 8x + 18 = x + 25, what is x? (a) 3 (b) 2 (c) 1 (d) 4
9. 9.If 4x − 14 = 46, what is x? (a) 60 (b) 16 (c) 15 (d) 8
10. 10.Which is the smallest: 0.026, 0.3, 0.33, 0.256? (a) 0.026 (b) 0.3 (c) 0.33 (d) 0.256
11. 11.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) 432 min (c) 42 min (d) 72 min
12. 12.A bag marked ₹680 is sold at a 15% discount. What is its selling price? (a) ₹782 (b) ₹665 (c) ₹102 (d) ₹578
13. 13.What is the smallest number of sweets that can be shared equally among 8 children or among 12 children, with none left over? (a) 96 (b) 48 (c) 24 (d) 20
14. 14.If x/6 + 6 = 8, what is x? (a) 2 (b) 12 (c) 84 (d) 42
15. 15.₹108 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹60 (b) ₹54 (c) ₹48 (d) ₹12
16. 16.If 13 May is a Friday, what day of the week is 10 June? (a) Friday (b) Sunday (c) Thursday (d) Saturday
17. 17.Every pair follows the same rule: 4 : 13, 5 : 14, 6 : 15. What is 3 : ? (a) 12 (b) 13 (c) 14 (d) 11
18. 18.What is 15% of 140? (a) 119 (b) 42 (c) 21 (d) 210
19. 19.Two ribbons are 8 cm and 12 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) 24 cm (c) 4 cm (d) 2 cm
20. 20.What is the smallest number of sweets that can be shared equally among 12 children or among 16 children, with none left over? (a) 192 (b) 28 (c) 96 (d) 48
21. 21.What is the average of 15, 15, 21, 18, 39 and 72? (a) 36 (b) 30 (c) 29 (d) 31
22. 22.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 20 min (c) 24 min (d) 96 min
23. 23.In how many years will ₹7500 earn ₹1050 simple interest at 7% per year? (a) 2 years (b) 3 years (c) 1 year (d) 4 years
24. 24.3.79 + 3.1 = ? (a) 6.79 (b) 4.1 (c) 6.89 (d) 6.99
25. 25.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 112 cm
26. 26.Which fraction is greater: 2/3 or 7/8? (a) They are equal (b) 2/3 (c) 7/8
27. 27.7 workers can build a wall in 10 days. How many days will 5 workers take, working at the same speed? (a) 14 days (b) 12 days (c) 8 days (d) 15 days
28. 28.If 9 July is a Wednesday, what day of the week is 25 July? (a) Saturday (b) Friday (c) Thursday (d) Sunday
29. 29.3 workers can build a wall in 10 days. How many days will 6 workers take, working at the same speed? (a) 13 days (b) 20 days (c) 7 days (d) 5 days
30. 30.Which is the greatest: 0.119, 0.28, 0.2, 0.028? (a) 0.119 (b) 0.28 (c) 0.2 (d) 0.028
31. 31.What is the value of the digit 4 in 95.463? (a) 4 (b) 0.004 (c) 0.04 (d) 0.4
32. 32.If 4x + 2 = 10, what is x? (a) 8 (b) 1 (c) 2 (d) 3
33. 33.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 195 sq cm (d) 180 sq cm
34. 34.If x/2 + 12 = 18, what is x? (a) 12 (b) 6 (c) 24 (d) 60
35. 35.Every pair follows the same rule: 5 : 33, 7 : 43, 9 : 53. What is 6 : ? (a) 39 (b) 34 (c) 38 (d) 37
36. 36.5 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 21 days (c) 14 days (d) 10 days
37. 37.8 workers can build a wall in 13 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 27 days (c) 26 days (d) 17 days
38. 38.2/5 + 6/7 = ? (a) 2/3 (b) 43/35 (c) 9/7 (d) 44/35
39. 39.Every pair follows the same rule: 3 : 6, 4 : 7, 5 : 8. What is 7 : ? (a) 10 (b) 14 (c) 11 (d) 9
40. 40.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 105 min (c) 315 min (d) 3 min

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