Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 695 · 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 remainder when 86 is divided by 7? (a) 5 (b) 3 (c) 2 (d) 1
2. 2.A bag marked ₹1840 is sold at a 10% discount. What is its selling price? (a) ₹1830 (b) ₹2024 (c) ₹184 (d) ₹1656
3. 3.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 31 (b) 37 (c) 10 (d) 29
4. 4.Every pair follows the same rule: 4 : 8, 6 : 12, 9 : 18. What is 2 : ? (a) 6 (b) 5 (c) 4 (d) 3
5. 5.Which fraction is greater: 1/11 or 2/9? (a) 1/11 (b) 2/9 (c) They are equal
6. 6.Which fraction is greater: 7/12 or 7/9? (a) 7/9 (b) They are equal (c) 7/12
7. 7.What is the remainder when 380 is divided by 12? (a) 8 (b) 9 (c) 4 (d) 7
8. 8.₹196 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹98 (b) ₹49 (c) ₹196 (d) ₹147
9. 9.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 720 (b) 120 (c) 240 (d) 54
10. 10.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 350 min (b) 5 min (c) 45 min (d) 70 min
11. 11.A bag marked ₹1760 is sold at a 25% discount. What is its selling price? (a) ₹1735 (b) ₹2200 (c) ₹440 (d) ₹1320
12. 12.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 39 sq cm (c) 26 sq cm (d) 30 sq cm
13. 13.A bag marked ₹1020 is sold at a 40% discount. What is its selling price? (a) ₹408 (b) ₹1428 (c) ₹980 (d) ₹612
14. 14.3.01 + 8.4 = ? (a) 11.41 (b) 3.85 (c) 11.51 (d) 11.31
15. 15.If 12 October is a Monday, what day of the week is 26 October? (a) Monday (b) Sunday (c) Tuesday (d) Wednesday
16. 16.Today is Tuesday. What day of the week will it be after 55 days? (a) Sunday (b) Monday (c) Wednesday (d) Tuesday
17. 17.A shopkeeper buys a toy for ₹440 and sells it for ₹330. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
18. 18.What is 5/7 of 84? (a) 12 (b) 24 (c) 60 (d) 72
19. 19.If 6x + 5 = 3x + 14, what is x? (a) 3 (b) 5 (c) 4 (d) 1
20. 20.If 2 kites cost ₹30, how much do 5 kites cost? (a) ₹150 (b) ₹75 (c) ₹90 (d) ₹33
21. 21.₹63 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹27 (b) ₹9 (c) ₹36 (d) ₹45
22. 22.Every pair follows the same rule: 2 : 6, 7 : 21, 9 : 27. What is 8 : ? (a) 12 (b) 23 (c) 24 (d) 25
23. 23.What is the simple interest on ₹1500 at 2% per year for 4 years? (a) ₹30 (b) ₹150 (c) ₹120 (d) ₹1620
24. 24.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 114 sq cm (c) 25 sq cm (d) 50 sq cm
25. 25.What is the average of all the whole numbers from 16 to 44? (a) 14 (b) 28 (c) 30 (d) 31
26. 26.Today is Saturday. What day of the week will it be after 87 days? (a) Tuesday (b) Monday (c) Wednesday (d) Thursday
27. 27.Which fraction is greater: 1/3 or 5/11? (a) They are equal (b) 1/3 (c) 5/11
28. 28.If 6x + 12 = 3x + 18, what is x? (a) 4 (b) 10 (c) 2 (d) 3
29. 29.What is 1/3 of 24? (a) 16 (b) 7 (c) 9 (d) 8
30. 30.Two ribbons are 24 cm and 64 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) 24 cm (c) 40 cm (d) 4 cm
31. 31.Every pair follows the same rule: 3 : 18, 4 : 23, 9 : 48. What is 2 : ? (a) 17 (b) 13 (c) 12 (d) 14
32. 32.Today is Sunday. What day of the week will it be after 70 days? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
33. 33.Two bells ring every 8 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 4 min (c) 56 min (d) 224 min
34. 34.If 9x + 2 = 7x + 6, what is x? (a) 4 (b) 2 (c) 1 (d) 3
35. 35.A shopkeeper buys a toy for ₹100 and sells it for ₹85. What is his loss percent? (a) 16% (b) 10% (c) 20% (d) 15%
36. 36.If 6x + 18 = 4x + 20, what is x? (a) 1 (b) 3 (c) 19 (d) 2
37. 37.Which is the smallest: 0.3, 0.34, 0.224, 0.021? (a) 0.3 (b) 0.34 (c) 0.224 (d) 0.021
38. 38.6 workers can build a wall in 13 days. How many days will 2 workers take, working at the same speed? (a) 9 days (b) 17 days (c) 40 days (d) 39 days
39. 39.What is the units digit of 2^59? (a) 2 (b) 8 (c) 4 (d) 6
40. 40.A shopkeeper buys a toy for ₹120 and sells it for ₹102. What is his loss percent? (a) 20% (b) 18% (c) 15% (d) 10%

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