Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 283 · 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 simple interest on ₹6500 at 7% per year for 3 years? (a) ₹7865 (b) ₹1365 (c) ₹455 (d) ₹1820
2. 2.A shopkeeper buys a toy for ₹840 and sells it for ₹1008. What is his profit percent? (a) 21% (b) 25% (c) 15% (d) 20%
3. 3.3/5 + 4/7 = ? (a) 7/12 (b) 6/5 (c) 41/35 (d) 8/7
4. 4.A shopkeeper buys a toy for ₹400 and sells it for ₹320. What is his loss percent? (a) 25% (b) 80% (c) 15% (d) 20%
5. 5.Which is the smallest: 0.72, 0.7, 0.683, 0.052? (a) 0.72 (b) 0.7 (c) 0.683 (d) 0.052
6. 6.If 17 July is a Monday, what day of the week is 15 August? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
7. 7.Every pair follows the same rule: 3 : 18, 5 : 30, 6 : 36. What is 8 : ? (a) 23 (b) 49 (c) 48 (d) 47
8. 8.7.23 + 7.1 = ? (a) 14.33 (b) 7.94 (c) 14.43 (d) 14.23
9. 9.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 21 (b) 36 (c) 33 (d) 51
10. 10.What is the units digit of 8^27? (a) 6 (b) 2 (c) 8 (d) 4
11. 11.A shopkeeper buys a toy for ₹520 and sells it for ₹546. What is his profit percent? (a) 6% (b) 26% (c) 10% (d) 5%
12. 12.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 54 sq cm (d) 28 sq cm
13. 13.Every pair follows the same rule: 2 : 16, 5 : 28, 8 : 40. What is 4 : ? (a) 24 (b) 18 (c) 25 (d) 32
14. 14.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 41 (b) 7 (c) 69 (d) 35
15. 15.In how many years will ₹10000 earn ₹2000 simple interest at 4% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
16. 16.Which fraction is greater: 1/8 or 2/3? (a) They are equal (b) 2/3 (c) 1/8
17. 17.Which is the smallest: 0.312, 0.4, 0.098, 0.49? (a) 0.312 (b) 0.4 (c) 0.098 (d) 0.49
18. 18.A shopkeeper buys a toy for ₹1000 and sells it for ₹750. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 26%
19. 19.₹1000 is invested at 2% per year simple interest. What is the amount after 2 years? (a) ₹40 (b) ₹1040 (c) ₹1060 (d) ₹1020
20. 20.What is the average of all the whole numbers from 40 to 58? (a) 9 (b) 18 (c) 50 (d) 49
21. 21.If 4 December is a Sunday, what day of the week is 16 December? (a) Friday (b) Saturday (c) Sunday (d) Thursday
22. 22.A shopkeeper buys a toy for ₹880 and sells it for ₹528. What is his loss percent? (a) 45% (b) 40% (c) 41% (d) 35%
23. 23.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 41 cm (d) 57 cm
24. 24.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 83 (b) 40 (c) 53 (d) 48
25. 25.₹630 is shared between two friends in the ratio 5 : 9. How much is the bigger share? (a) ₹45 (b) ₹315 (c) ₹405 (d) ₹225
26. 26.If 10 January is a Saturday, what day of the week is 20 January? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
27. 27.A bag marked ₹1560 is sold at a 30% discount. What is its selling price? (a) ₹468 (b) ₹1530 (c) ₹2028 (d) ₹1092
28. 28.4.31 + 1.2 = ? (a) 5.41 (b) 4.43 (c) 5.51 (d) 5.61
29. 29.₹1000 is invested at 4% per year simple interest. What is the amount after 5 years? (a) ₹1040 (b) ₹1200 (c) ₹200 (d) ₹1240
30. 30.What is the average of all the whole numbers from 56 to 68? (a) 63 (b) 6 (c) 62 (d) 12
31. 31.Every pair follows the same rule: 2 : 9, 4 : 11, 6 : 13. What is 7 : ? (a) 15 (b) 16 (c) 13 (d) 14
32. 32.7.57 + 2.6 = ? (a) 10.07 (b) 7.83 (c) 10.17 (d) 10.27
33. 33.Two bells ring every 6 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 90 min (b) 3 min (c) 21 min (d) 30 min
34. 34.₹507 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹195 (b) ₹39 (c) ₹312 (d) ₹351
35. 35.Which of these numbers is divisible by 11? (a) 2618 (b) 2627 (c) 2636 (d) 2612
36. 36.2/5 + 2/3 = ? (a) 1/2 (b) 1 (c) 16/15 (d) 17/15
37. 37.If 2 December is a Thursday, what day of the week is 12 December? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
38. 38.What is the average of 74, 64, 52, 66, 65 and 39? (a) 72 (b) 61 (c) 59 (d) 60
39. 39.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 44 (b) 24 (c) 46 (d) 45
40. 40.If 12 July is a Tuesday, what day of the week is 13 August? (a) Friday (b) Monday (c) Sunday (d) Saturday

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