Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 648 · 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 shopkeeper buys a toy for ₹960 and sells it for ₹816. What is his loss percent? (a) 20% (b) 15% (c) 16% (d) 10%
2. 2.Every pair follows the same rule: 3 : 21, 4 : 28, 6 : 42. What is 9 : ? (a) 62 (b) 63 (c) 64 (d) 27
3. 3.If x/3 + 8 = 10, what is x? (a) 54 (b) 2 (c) 22 (d) 6
4. 4.₹286 is shared between two friends in the ratio 5 : 6. How much is the bigger share? (a) ₹130 (b) ₹26 (c) ₹156 (d) ₹143
5. 5.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 22 cm (c) 120 cm (d) 11 cm
6. 6.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 18 sq cm (b) 77 sq cm (c) 36 sq cm (d) 88 sq cm
7. 7.Every pair follows the same rule: 3 : 17, 7 : 57, 8 : 72. What is 2 : ? (a) 12 (b) 11 (c) 16 (d) 13
8. 8.Which of these numbers is divisible by 9? (a) 1095 (b) 1089 (c) 1106 (d) 1082
9. 9.2/4 + 2/4 = ? (a) 1/2 (b) 3/4 (c) 5/4 (d) 1
10. 10.Two bells ring every 8 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 2 min (b) 56 min (c) 112 min (d) 22 min
11. 11.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
12. 12.If 7 kites cost ₹70, how much do 12 kites cost? (a) ₹130 (b) ₹840 (c) ₹120 (d) ₹75
13. 13.What is the units digit of 4^38? (a) 5 (b) 6 (c) 4 (d) 7
14. 14.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 228 sq cm (c) 209 sq cm (d) 30 sq cm
15. 15.If x/6 + 9 = 14, what is x? (a) 138 (b) 75 (c) 30 (d) 5
16. 16.If 4x + 25 = 81, what is x? (a) 14 (b) 15 (c) 56 (d) 13
17. 17.What is the smallest number you must add to 469 to make it divisible by 12? (a) 9 (b) 11 (c) 10 (d) 1
18. 18.If 3x − 17 = 22, what is x? (a) 14 (b) 39 (c) 12 (d) 13
19. 19.Every pair follows the same rule: 7 : 15, 8 : 16, 9 : 17. What is 4 : ? (a) 14 (b) 13 (c) 12 (d) 11
20. 20.Which is the smallest: 0.66, 0.6, 0.574, 0.016? (a) 0.66 (b) 0.6 (c) 0.574 (d) 0.016
21. 21.Which is the smallest: 0.052, 0.25, 0.161, 0.2? (a) 0.052 (b) 0.25 (c) 0.161 (d) 0.2
22. 22.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 40 (b) 150 (c) 375 (d) 75
23. 23.What is the units digit of 2^41? (a) 4 (b) 8 (c) 2 (d) 6
24. 24.₹228 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹114 (b) ₹95 (c) ₹133 (d) ₹19
25. 25.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 56 min (c) 28 min (d) 2 min
26. 26.In how many years will ₹10000 earn ₹2400 simple interest at 12% per year? (a) 3 years (b) 4 years (c) 2 years (d) 1 year
27. 27.3/4 + 1/2 = ? (a) 3/2 (b) 1 (c) 2/3 (d) 5/4
28. 28.Every pair follows the same rule: 3 : 8, 4 : 11, 5 : 14. What is 7 : ? (a) 19 (b) 12 (c) 21 (d) 20
29. 29.Which fraction is greater: 5/12 or 1/3? (a) They are equal (b) 5/12 (c) 1/3
30. 30.Two ribbons are 8 cm and 14 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) 8 cm (c) 6 cm (d) 2 cm
31. 31.Every pair follows the same rule: 4 : 32, 6 : 48, 7 : 56. What is 8 : ? (a) 65 (b) 36 (c) 63 (d) 64
32. 32.2.02 + 5.9 = ? (a) 7.82 (b) 8.02 (c) 7.92 (d) 2.61
33. 33.Two bells ring every 4 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 20 min (b) 2 min (c) 14 min (d) 40 min
34. 34.If 20 September is a Tuesday, what day of the week is 6 October? (a) Friday (b) Wednesday (c) Saturday (d) Thursday
35. 35.Which fraction is greater: 1/12 or 7/9? (a) They are equal (b) 1/12 (c) 7/9
36. 36.A bag marked ₹860 is sold at a 30% discount. What is its selling price? (a) ₹602 (b) ₹258 (c) ₹830 (d) ₹1118
37. 37.Every pair follows the same rule: 5 : 22, 8 : 31, 9 : 34. What is 7 : ? (a) 28 (b) 27 (c) 29 (d) 24
38. 38.Every pair follows the same rule: 2 : 4, 3 : 6, 5 : 10. What is 6 : ? (a) 12 (b) 11 (c) 8 (d) 13
39. 39.Today is Monday. What day of the week will it be after 11 days? (a) Friday (b) Sunday (c) Thursday (d) Saturday
40. 40.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 49 (c) 89 (d) 50

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