Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 175 · 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.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 21 sq cm (c) 18 sq cm (d) 14 sq cm
2. 2.What is the average of 52, 77, 76 and 47? (a) 84 (b) 63 (c) 62 (d) 64
3. 3.₹196 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹140 (b) ₹56 (c) ₹28 (d) ₹98
4. 4.What is the remainder when 166 is divided by 3? (a) 2 (b) 0 (c) 1
5. 5.If 2 mangoes cost ₹26, how much do 9 mangoes cost? (a) ₹130 (b) ₹33 (c) ₹117 (d) ₹234
6. 6.A shopkeeper buys a toy for ₹280 and sells it for ₹364. What is his profit percent? (a) 30% (b) 84% (c) 25% (d) 35%
7. 7.What is 30% of 480? (a) 1440 (b) 144 (c) 336 (d) 288
8. 8.Every pair follows the same rule: 5 : 28, 8 : 40, 9 : 44. What is 6 : ? (a) 32 (b) 29 (c) 33 (d) 31
9. 9.Which is the greatest: 0.3, 0.228, 0.36, 0.067? (a) 0.3 (b) 0.228 (c) 0.36 (d) 0.067
10. 10.What is the average of all the whole numbers from 11 to 39? (a) 28 (b) 25 (c) 14 (d) 26
11. 11.What is 1/6 of 24? (a) 20 (b) 4 (c) 8 (d) 5
12. 12.If 6x − 28 = 62, what is x? (a) 16 (b) 15 (c) 90 (d) 14
13. 13.The simple interest on ₹7500 for 2 years is ₹1350. What is the rate per year? (a) 10% (b) 18% (c) 9% (d) 8%
14. 14.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
15. 15.Which is the greatest: 0.5, 0.064, 0.59, 0.465? (a) 0.5 (b) 0.064 (c) 0.59 (d) 0.465
16. 16.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 18 sq cm (d) 11 sq cm
17. 17.Which is the smallest: 0.775, 0.073, 0.8, 0.81? (a) 0.775 (b) 0.073 (c) 0.8 (d) 0.81
18. 18.What is the simple interest on ₹5000 at 12% per year for 4 years? (a) ₹7400 (b) ₹3000 (c) ₹2400 (d) ₹600
19. 19.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 74 (b) 65 (c) 15 (d) 62
20. 20.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 40 (b) 90 (c) 58 (d) 54
21. 21.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 22 days (c) 21 days (d) 3 days
22. 22.Every pair follows the same rule: 4 : 8, 8 : 16, 9 : 18. What is 5 : ? (a) 9 (b) 12 (c) 11 (d) 10
23. 23.If 4 October is a Saturday, what day of the week is 19 October? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
24. 24.5 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 4 days (c) 6 days (d) 5 days
25. 25.What is the value of the digit 9 in 59.728? (a) 90 (b) 9 (c) 0.9 (d) 0.09
26. 26.₹3000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹3270 (b) ₹4620 (c) ₹1350 (d) ₹4350
27. 27.If 11 August is a Tuesday, what day of the week is 27 August? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
28. 28.Two ribbons are 42 cm and 48 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 336 cm (b) 3 cm (c) 42 cm (d) 6 cm
29. 29.₹9500 is invested at 8% per year simple interest. What is the amount after 3 years? (a) ₹10260 (b) ₹2280 (c) ₹11780 (d) ₹12540
30. 30.6.35 + 9.3 = ? (a) 15.65 (b) 7.28 (c) 15.55 (d) 15.75
31. 31.What is the remainder when 229 is divided by 12? (a) 11 (b) 2 (c) 0 (d) 1
32. 32.Which is the greatest: 0.057, 0.666, 0.7, 0.76? (a) 0.057 (b) 0.666 (c) 0.7 (d) 0.76
33. 33.What is 3/5 of 15? (a) 12 (b) 9 (c) 3 (d) 6
34. 34.Which fraction is greater: 2/3 or 5/11? (a) They are equal (b) 5/11 (c) 2/3
35. 35.Every pair follows the same rule: 2 : 3, 3 : 6, 5 : 12. What is 7 : ? (a) 18 (b) 8 (c) 19 (d) 17
36. 36.What is 1/8 of 72? (a) 10 (b) 18 (c) 63 (d) 9
37. 37.If 9 pens cost ₹27, how much do 10 pens cost? (a) ₹270 (b) ₹28 (c) ₹33 (d) ₹30
38. 38.Which fraction is greater: 2/5 or 1/7? (a) 2/5 (b) 1/7 (c) They are equal
39. 39.If 26 August is a Tuesday, what day of the week is 6 September? (a) Friday (b) Sunday (c) Monday (d) Saturday
40. 40.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 51 (b) 56 (c) 44 (d) 93

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