Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 344 · 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.If 8x + 14 = 78, what is x? (a) 9 (b) 7 (c) 64 (d) 8
2. 2.₹6000 is invested at 11% per year simple interest. What is the amount after 3 years? (a) ₹8640 (b) ₹1980 (c) ₹7980 (d) ₹6660
3. 3.The simple interest on ₹9500 for 2 years is ₹760. What is the rate per year? (a) 8% (b) 5% (c) 3% (d) 4%
4. 4.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
5. 5.What is the average of 59, 73, 76, 80, 64 and 74? (a) 72 (b) 73 (c) 70 (d) 71
6. 6.Which fraction is greater: 1/4 or 1/5? (a) 1/4 (b) They are equal (c) 1/5
7. 7.What is 5/6 of 18? (a) 16 (b) 18 (c) 15 (d) 3
8. 8.Today is Friday. What day of the week will it be after 82 days? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
9. 9.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 44 min (c) 112 min (d) 448 min
10. 10.What is the simple interest on ₹6000 at 5% per year for 3 years? (a) ₹1200 (b) ₹900 (c) ₹6900 (d) ₹300
11. 11.3 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 24 days (b) 9 days (c) 15 days (d) 6 days
12. 12.If 12 November is a Friday, what day of the week is 7 December? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
13. 13.A teacher has 15 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 20 (c) 15 (d) 5
14. 14.Which fraction is greater: 2/3 or 8/11? (a) 2/3 (b) They are equal (c) 8/11
15. 15.Which of these numbers is divisible by 11? (a) 7948 (b) 7958 (c) 7953 (d) 7965
16. 16.What is the units digit of 3^36? (a) 3 (b) 9 (c) 1 (d) 7
17. 17.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 140 (b) 24 (c) 71 (d) 70
18. 18.Which is the smallest: 0.072, 0.6, 0.571, 0.65? (a) 0.072 (b) 0.6 (c) 0.571 (d) 0.65
19. 19.What is the average of 43, 55, 38, 59 and 25? (a) 43 (b) 44 (c) 55 (d) 45
20. 20.₹162 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹135 (b) ₹81 (c) ₹27 (d) ₹162
21. 21.If 17 November is a Sunday, what day of the week is 13 December? (a) Saturday (b) Sunday (c) Friday (d) Thursday
22. 22.6 workers can build a wall in 8 days. How many days will 12 workers take, working at the same speed? (a) 4 days (b) 16 days (c) 2 days (d) 14 days
23. 23.What is the average of 67, 61, 61 and 107? (a) 75 (b) 76 (c) 73 (d) 74
24. 24.If 2x + 6 = 12, what is x? (a) 9 (b) 4 (c) 6 (d) 3
25. 25.What is the average of 26, 27, 46, 48 and 58? (a) 41 (b) 42 (c) 40 (d) 43
26. 26.2/4 + 1/3 = ? (a) 3/7 (b) 11/12 (c) 5/6 (d) 3/4
27. 27.If 9x − 15 = 3, what is x? (a) 3 (b) 1 (c) 18 (d) 2
28. 28.If 3x − 13 = 32, what is x? (a) 16 (b) 45 (c) 15 (d) 14
29. 29.Today is Saturday. What day of the week will it be after 66 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Monday
30. 30.What is the average of 28, 25, 27, 44 and 41? (a) 34 (b) 32 (c) 35 (d) 33
31. 31.What is the average of 70, 55, 77, 52, 52 and 72? (a) 62 (b) 65 (c) 63 (d) 64
32. 32.Every pair follows the same rule: 2 : 21, 3 : 22, 4 : 23. What is 7 : ? (a) 25 (b) 27 (c) 28 (d) 26
33. 33.4/6 + 2/3 = ? (a) 3/2 (b) 4/3 (c) 7/6 (d) 2/3
34. 34.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 39 cm (b) 24 cm (c) 135 cm (d) 48 cm
35. 35.6 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 2 days (b) 18 days (c) 10 days (d) 19 days
36. 36.₹187 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹34 (b) ₹17 (c) ₹170 (d) ₹153
37. 37.7.21 + 3.5 = ? (a) 7.56 (b) 10.61 (c) 10.71 (d) 10.81
38. 38.3 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 48 days (b) 4 days (c) 21 days (d) 3 days
39. 39.Which fraction is greater: 7/11 or 1/3? (a) 1/3 (b) They are equal (c) 7/11
40. 40.Every pair follows the same rule: 4 : 16, 5 : 25, 8 : 64. What is 2 : ? (a) 14 (b) 4 (c) 5 (d) 8

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