Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 386 · 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. 1.1/2 + 1/3 = ? (a) 2/3 (b) 5/6 (c) 1 (d) 2/5
2. 2.Every pair follows the same rule: 2 : 9, 3 : 10, 5 : 12. What is 4 : ? (a) 11 (b) 10 (c) 13 (d) 12
3. 3.Which fraction is greater: 7/11 or 5/12? (a) They are equal (b) 5/12 (c) 7/11
4. 4.A shopkeeper buys a toy for ₹520 and sells it for ₹572. What is his profit percent? (a) 15% (b) 52% (c) 5% (d) 10%
5. 5.₹455 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹35 (b) ₹350 (c) ₹140 (d) ₹315
6. 6.Every pair follows the same rule: 2 : 10, 5 : 25, 8 : 40. What is 3 : ? (a) 16 (b) 15 (c) 11 (d) 14
7. 7.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 37 cm (c) 23 cm (d) 126 cm
8. 8.₹217 is shared between two friends in the ratio 2 : 5. How much is the bigger share? (a) ₹31 (b) ₹186 (c) ₹155 (d) ₹62
9. 9.Which is the smallest: 0.054, 0.6, 0.527, 0.64? (a) 0.054 (b) 0.6 (c) 0.527 (d) 0.64
10. 10.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 90 min (c) 48 min (d) 540 min
11. 11.What is the simple interest on ₹2000 at 5% per year for 2 years? (a) ₹300 (b) ₹200 (c) ₹100 (d) ₹2200
12. 12.If 3x − 6 = 3, what is x? (a) 3 (b) 9 (c) 4 (d) 2
13. 13.Two bells ring every 20 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 55 min (b) 140 min (c) 5 min (d) 700 min
14. 14.What is the average of 42, 43, 59, 47, 57 and 94? (a) 59 (b) 58 (c) 56 (d) 57
15. 15.Every pair follows the same rule: 4 : 15, 6 : 19, 7 : 21. What is 5 : ? (a) 18 (b) 17 (c) 19 (d) 16
16. 16.Every pair follows the same rule: 2 : 12, 6 : 16, 9 : 19. What is 4 : ? (a) 24 (b) 14 (c) 15 (d) 13
17. 17.1/7 + 1/2 = ? (a) 9/14 (b) 2/9 (c) 5/7 (d) 4/7
18. 18.Two bells ring every 12 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 33 min (b) 3 min (c) 252 min (d) 84 min
19. 19.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 32 sq cm (c) 72 sq cm (d) 16 sq cm
20. 20.If 16 January is a Saturday, what day of the week is 2 February? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
21. 21.Every pair follows the same rule: 2 : 8, 4 : 10, 9 : 15. What is 6 : ? (a) 13 (b) 12 (c) 24 (d) 11
22. 22.If 11 June is a Monday, what day of the week is 5 July? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
23. 23.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 209 sq cm (b) 58 sq cm (c) 190 sq cm (d) 29 sq cm
24. 24.What is the units digit of 2^17? (a) 8 (b) 4 (c) 2 (d) 6
25. 25.What is 15% of 120? (a) 102 (b) 18 (c) 36 (d) 180
26. 26.Which is the smallest: 0.065, 0.689, 0.73, 0.7? (a) 0.065 (b) 0.689 (c) 0.73 (d) 0.7
27. 27.If 8 kites cost ₹88, how much do 12 kites cost? (a) ₹92 (b) ₹143 (c) ₹132 (d) ₹1056
28. 28.What is the value of the digit 7 in 27.135? (a) 0.7 (b) 70 (c) 7 (d) 0.07
29. 29.If 2x − 1 = 21, what is x? (a) 10 (b) 22 (c) 11 (d) 12
30. 30.What is the units digit of 8^16? (a) 2 (b) 4 (c) 6 (d) 8
31. 31.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 26 cm (d) 20 cm
32. 32.₹77 is shared between two friends in the ratio 2 : 9. How much is the bigger share? (a) ₹7 (b) ₹14 (c) ₹63 (d) ₹70
33. 33.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 39 sq cm (b) 26 sq cm (c) 30 sq cm (d) 15 sq cm
34. 34.₹611 is shared between two friends in the ratio 4 : 9. How much is the bigger share? (a) ₹188 (b) ₹423 (c) ₹470 (d) ₹47
35. 35.What is the simple interest on ₹1500 at 8% per year for 5 years? (a) ₹720 (b) ₹2100 (c) ₹120 (d) ₹600
36. 36.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 54 sq cm (c) 45 sq cm (d) 28 sq cm
37. 37.What is the average of all the whole numbers from 49 to 77? (a) 63 (b) 64 (c) 28 (d) 14
38. 38.What is the simple interest on ₹7500 at 8% per year for 2 years? (a) ₹1800 (b) ₹1200 (c) ₹600 (d) ₹8700
39. 39.Every pair follows the same rule: 2 : 6, 7 : 21, 8 : 24. What is 3 : ? (a) 8 (b) 10 (c) 7 (d) 9
40. 40.Two bells ring every 6 minutes and every 9 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 54 min (b) 18 min (c) 3 min (d) 15 min

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