Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 519 · 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.Two ribbons are 9 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) 1 cm (b) 9 cm (c) 3 cm (d) 36 cm
2. 2.If 9 mangoes cost ₹126, how much do 6 mangoes cost? (a) ₹756 (b) ₹98 (c) ₹123 (d) ₹84
3. 3.₹9500 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹11495 (b) ₹1330 (c) ₹10165 (d) ₹10830
4. 4.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 15% (b) 24% (c) 5% (d) 10%
5. 5.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 37 (c) 12 (d) 43
6. 6.What is the smallest number you must add to 161 to make it divisible by 6? (a) 2 (b) 5 (c) 1 (d) 3
7. 7.1/4 + 3/5 = ? (a) 4/9 (b) 17/20 (c) 4/5 (d) 9/10
8. 8.3.63 + 1.2 = ? (a) 3.75 (b) 4.93 (c) 4.83 (d) 4.73
9. 9.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
10. 10.What is the value of the digit 1 in 87.214? (a) 0.1 (b) 0.001 (c) 1 (d) 0.01
11. 11.If 4x + 20 = 32, what is x? (a) 4 (b) 3 (c) 12 (d) 13
12. 12.If 23 January is a Wednesday, what day of the week is 16 February? (a) Sunday (b) Friday (c) Saturday (d) Monday
13. 13.Every pair follows the same rule: 3 : 23, 6 : 26, 7 : 27. What is 4 : ? (a) 23 (b) 26 (c) 25 (d) 24
14. 14.If 14 August is a Friday, what day of the week is 26 August? (a) Wednesday (b) Thursday (c) Tuesday (d) Friday
15. 15.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
16. 16.A shopkeeper buys a toy for ₹680 and sells it for ₹1020. What is his profit percent? (a) 55% (b) 45% (c) 50% (d) 51%
17. 17.Which fraction is greater: 1/7 or 2/3? (a) 1/7 (b) They are equal (c) 2/3
18. 18.What is the smallest number you must add to 635 to make it divisible by 9? (a) 5 (b) 4 (c) 6 (d) 3
19. 19.If 28 September is a Wednesday, what day of the week is 7 October? (a) Thursday (b) Sunday (c) Saturday (d) Friday
20. 20.4.08 + 1.9 = ? (a) 6.08 (b) 4.27 (c) 5.88 (d) 5.98
21. 21.What is the simple interest on ₹7500 at 9% per year for 3 years? (a) ₹9525 (b) ₹675 (c) ₹2025 (d) ₹2700
22. 22.Every pair follows the same rule: 3 : 6, 4 : 13, 8 : 61. What is 5 : ? (a) 8 (b) 10 (c) 25 (d) 22
23. 23.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 48 (b) 37 (c) 36 (d) 100
24. 24.If 16 March is a Tuesday, what day of the week is 5 April? (a) Sunday (b) Tuesday (c) Wednesday (d) Monday
25. 25.Which is the greatest: 0.36, 0.289, 0.065, 0.3? (a) 0.36 (b) 0.289 (c) 0.065 (d) 0.3
26. 26.What is the units digit of 8^21? (a) 2 (b) 4 (c) 8 (d) 6
27. 27.The simple interest on ₹10000 for 3 years is ₹3000. What is the rate per year? (a) 10% (b) 30% (c) 9% (d) 11%
28. 28.The simple interest on ₹1500 for 5 years is ₹825. What is the rate per year? (a) 11% (b) 12% (c) 55% (d) 10%
29. 29.The simple interest on ₹6000 for 2 years is ₹1200. What is the rate per year? (a) 11% (b) 10% (c) 9% (d) 20%
30. 30.What is the remainder when 116 is divided by 3? (a) 2 (b) 1 (c) 0
31. 31.Every pair follows the same rule: 2 : 19, 4 : 21, 9 : 26. What is 5 : ? (a) 23 (b) 22 (c) 21 (d) 24
32. 32.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 71 (b) 49 (c) 106 (d) 64
33. 33.In how many years will ₹9000 earn ₹2160 simple interest at 12% per year? (a) 4 years (b) 2 years (c) 1 year (d) 3 years
34. 34.Two ribbons are 6 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) 15 cm (b) 3 cm (c) 1 cm (d) 6 cm
35. 35.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 1 : ? (a) 1 (b) 7 (c) 4 (d) 2
36. 36.₹3000 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹3480 (b) ₹3240 (c) ₹480 (d) ₹3720
37. 37.2/5 + 5/6 = ? (a) 7/11 (b) 19/15 (c) 6/5 (d) 37/30
38. 38.If 6x + 25 = 67, what is x? (a) 6 (b) 8 (c) 42 (d) 7
39. 39.7.21 + 7.2 = ? (a) 14.51 (b) 7.93 (c) 14.41 (d) 14.31
40. 40.Every pair follows the same rule: 5 : 25, 6 : 36, 9 : 81. What is 2 : ? (a) 22 (b) 10 (c) 4 (d) 5

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