Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 656 · 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 value of the digit 4 in 57.142? (a) 4 (b) 0.4 (c) 0.004 (d) 0.04
2. 2.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) 315 min (b) 105 min (c) 3 min (d) 36 min
3. 3.What is the units digit of 9^52? (a) 0 (b) 2 (c) 1 (d) 9
4. 4.If 16 October is a Friday, what day of the week is 3 November? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
5. 5.What is 1/3 of 30? (a) 9 (b) 10 (c) 20 (d) 11
6. 6.1/2 + 1/3 = ? (a) 2/3 (b) 1 (c) 2/5 (d) 5/6
7. 7.What is the remainder when 784 is divided by 12? (a) 8 (b) 4 (c) 3 (d) 5
8. 8.If 19 March is a Monday, what day of the week is 19 April? (a) Friday (b) Saturday (c) Thursday (d) Wednesday
9. 9.What is the average of 78, 62, 70 and 98? (a) 79 (b) 76 (c) 77 (d) 78
10. 10.A bag marked ₹280 is sold at a 15% discount. What is its selling price? (a) ₹265 (b) ₹322 (c) ₹238 (d) ₹42
11. 11.What is the smallest number of sweets that can be shared equally among 15 children or among 18 children, with none left over? (a) 180 (b) 33 (c) 270 (d) 90
12. 12.What is the units digit of 9^20? (a) 2 (b) 9 (c) 1 (d) 0
13. 13.If x/5 + 11 = 18, what is x? (a) 7 (b) 35 (c) 79 (d) 145
14. 14.If 12 December is a Thursday, what day of the week is 28 December? (a) Saturday (b) Friday (c) Monday (d) Sunday
15. 15.If 2x − 20 = 10, what is x? (a) 30 (b) 14 (c) 15 (d) 16
16. 16.If 30 August is a Saturday, what day of the week is 1 September? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
17. 17.Every pair follows the same rule: 2 : 10, 4 : 14, 7 : 20. What is 9 : ? (a) 25 (b) 45 (c) 24 (d) 17
18. 18.A shopkeeper buys a toy for ₹440 and sells it for ₹528. What is his profit percent? (a) 25% (b) 20% (c) 88% (d) 15%
19. 19.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 17 cm (d) 30 cm
20. 20.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) 20 (d) 24
21. 21.What is the smallest number you must add to 549 to make it divisible by 7? (a) 3 (b) 5 (c) 4 (d) 6
22. 22.1/5 + 2/6 = ? (a) 3/11 (b) 17/30 (c) 1/2 (d) 8/15
23. 23.₹90 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹60 (b) ₹90 (c) ₹30 (d) ₹45
24. 24.If 21 September is a Tuesday, what day of the week is 6 October? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
25. 25.9 workers can build a wall in 5 days. How many days will 3 workers take, working at the same speed? (a) 15 days (b) 11 days (c) 16 days (d) 14 days
26. 26.If 3x + 7 = x + 29, what is x? (a) 13 (b) 18 (c) 11 (d) 12
27. 27.Today is Sunday. What day of the week will it be after 18 days? (a) Thursday (b) Friday (c) Saturday (d) Wednesday
28. 28.What is the average of all the whole numbers from 15 to 27? (a) 21 (b) 12 (c) 6 (d) 22
29. 29.If 21 August is a Sunday, what day of the week is 1 September? (a) Saturday (b) Wednesday (c) Friday (d) Thursday
30. 30.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 98 cm (b) 35 cm (c) 21 cm (d) 42 cm
31. 31.Every pair follows the same rule: 3 : 15, 4 : 16, 9 : 21. What is 2 : ? (a) 14 (b) 10 (c) 13 (d) 15
32. 32.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 15% (b) 30% (c) 5% (d) 10%
33. 33.A bag marked ₹580 is sold at a 20% discount. What is its selling price? (a) ₹696 (b) ₹560 (c) ₹116 (d) ₹464
34. 34.What is the value of the digit 6 in 69.182? (a) 0.06 (b) 60 (c) 0.6 (d) 6
35. 35.₹63 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹45 (b) ₹18 (c) ₹9 (d) ₹54
36. 36.Every pair follows the same rule: 4 : 64, 5 : 125, 6 : 216. What is 1 : ? (a) 2 (b) 1 (c) 61 (d) 16
37. 37.What is the average of 22, 35, 15, 25 and 53? (a) 31 (b) 32 (c) 29 (d) 30
38. 38.5.43 + 8.9 = ? (a) 14.33 (b) 6.32 (c) 14.23 (d) 14.43
39. 39.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 2 min (c) 20 min (d) 40 min
40. 40.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 5 cm (c) 24 cm (d) 10 cm

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