Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 75 · 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.The simple interest on ₹8500 for 5 years is ₹5100. What is the rate per year? (a) 60% (b) 11% (c) 12% (d) 13%
2. 2.4.95 + 7.1 = ? (a) 11.95 (b) 12.15 (c) 5.66 (d) 12.05
3. 3.What is the average of all the whole numbers from 45 to 81? (a) 36 (b) 64 (c) 63 (d) 18
4. 4.₹520 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹40 (b) ₹320 (c) ₹200 (d) ₹260
5. 5.What is the value of the digit 6 in 72.863? (a) 6 (b) 0.06 (c) 0.006 (d) 0.6
6. 6.Today is Thursday. What day of the week will it be after 22 days? (a) Sunday (b) Thursday (c) Saturday (d) Friday
7. 7.Two ribbons are 8 cm and 18 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 8 cm (b) 1 cm (c) 2 cm (d) 10 cm
8. 8.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 99 sq cm (d) 110 sq cm
9. 9.If 3x + 3 = 33, what is x? (a) 30 (b) 12 (c) 11 (d) 10
10. 10.What is the value of the digit 1 in 91.345? (a) 1 (b) 0.1 (c) 0.01 (d) 10
11. 11.₹517 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹329 (b) ₹376 (c) ₹47 (d) ₹188
12. 12.If 8x + 7 = 119, what is x? (a) 15 (b) 14 (c) 13 (d) 112
13. 13.₹1000 is invested at 3% per year simple interest. What is the amount after 5 years? (a) ₹150 (b) ₹1180 (c) ₹1030 (d) ₹1150
14. 14.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 27 (b) 54 (c) 51 (d) 75
15. 15.What is 30% of 120? (a) 360 (b) 84 (c) 36 (d) 72
16. 16.1.52 + 7.5 = ? (a) 8.92 (b) 2.27 (c) 9.12 (d) 9.02
17. 17.Which is the greatest: 0.166, 0.013, 0.2, 0.23? (a) 0.166 (b) 0.013 (c) 0.2 (d) 0.23
18. 18.If 6x − 18 = 6, what is x? (a) 5 (b) 3 (c) 4 (d) 24
19. 19.Every pair follows the same rule: 2 : 5, 5 : 8, 9 : 12. What is 7 : ? (a) 9 (b) 11 (c) 12 (d) 10
20. 20.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 6% (b) 16% (c) 5% (d) 10%
21. 21.₹72 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹18 (b) ₹54 (c) ₹72 (d) ₹36
22. 22.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 33 (b) 252 (c) 168 (d) 84
23. 23.What is the remainder when 792 is divided by 10? (a) 1 (b) 8 (c) 2 (d) 3
24. 24.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 14 sq cm (c) 45 sq cm (d) 28 sq cm
25. 25.9.37 + 1.1 = ? (a) 10.57 (b) 9.48 (c) 10.37 (d) 10.47
26. 26.What is the average of all the whole numbers from 28 to 54? (a) 13 (b) 42 (c) 26 (d) 41
27. 27.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 15% (b) 5% (c) 50% (d) 10%
28. 28.Which is the smallest: 0.3, 0.248, 0.077, 0.33? (a) 0.3 (b) 0.248 (c) 0.077 (d) 0.33
29. 29.Every pair follows the same rule: 7 : 42, 8 : 48, 9 : 54. What is 2 : ? (a) 13 (b) 11 (c) 12 (d) 37
30. 30.Today is Tuesday. What day of the week will it be after 51 days? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
31. 31.₹99 is shared between two friends in the ratio 1 : 8. How much is the bigger share? (a) ₹88 (b) ₹11 (c) ₹89 (d) ₹99
32. 32.Every pair follows the same rule: 6 : 36, 7 : 49, 8 : 64. What is 4 : ? (a) 24 (b) 4 (c) 16 (d) 34
33. 33.If 21 November is a Sunday, what day of the week is 10 December? (a) Friday (b) Sunday (c) Saturday (d) Thursday
34. 34.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 10 min (b) 2 min (c) 12 min (d) 24 min
35. 35.What is 40% of 740? (a) 592 (b) 296 (c) 2960 (d) 444
36. 36.6 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 6 days (b) 7 days (c) 16 days (d) 5 days
37. 37.Every pair follows the same rule: 2 : 3, 4 : 7, 6 : 11. What is 7 : ? (a) 12 (b) 14 (c) 13 (d) 8
38. 38.Two ribbons are 12 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 3 cm (b) 12 cm (c) 6 cm (d) 42 cm
39. 39.A teacher has 35 pencils and 42 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 35 (c) 210 (d) 7
40. 40.A shopkeeper buys a toy for ₹320 and sells it for ₹384. What is his profit percent? (a) 25% (b) 64% (c) 15% (d) 20%

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