Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 95 · 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.Which fraction is greater: 2/3 or 2/7? (a) They are equal (b) 2/3 (c) 2/7
2. 2.Every pair follows the same rule: 2 : 11, 3 : 14, 5 : 20. What is 6 : ? (a) 22 (b) 24 (c) 23 (d) 15
3. 3.What is the average of 23, 21, 22, 28 and 31? (a) 24 (b) 26 (c) 27 (d) 25
4. 4.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 37 (b) 21 (c) 34 (d) 52
5. 5.Every pair follows the same rule: 6 : 20, 7 : 24, 8 : 28. What is 3 : ? (a) 8 (b) 17 (c) 9 (d) 7
6. 6.A shopkeeper buys a toy for ₹540 and sells it for ₹702. What is his profit percent? (a) 31% (b) 25% (c) 35% (d) 30%
7. 7.Which is the greatest: 0.095, 0.2, 0.161, 0.27? (a) 0.095 (b) 0.2 (c) 0.161 (d) 0.27
8. 8.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 99 cm (b) 40 cm (c) 31 cm (d) 20 cm
9. 9.Today is Sunday. What day of the week will it be after 92 days? (a) Wednesday (b) Tuesday (c) Monday (d) Sunday
10. 10.A bag marked ₹1680 is sold at a 10% discount. What is its selling price? (a) ₹1848 (b) ₹1670 (c) ₹168 (d) ₹1512
11. 11.Two ribbons are 55 cm and 88 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 33 cm (c) 55 cm (d) 1 cm
12. 12.What is the remainder when 601 is divided by 8? (a) 1 (b) 2 (c) 7 (d) 0
13. 13.Today is Friday. What day of the week will it be after 84 days? (a) Thursday (b) Friday (c) Sunday (d) Saturday
14. 14.What is the value of the digit 2 in 32.695? (a) 0.02 (b) 0.2 (c) 2 (d) 20
15. 15.If 12 May is a Wednesday, what day of the week is 26 May? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
16. 16.What is 1/2 of 18? (a) 9 (b) 10 (c) 18 (d) 8
17. 17.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 31 (b) 28 (c) 24 (d) 49
18. 18.Every pair follows the same rule: 2 : 8, 7 : 23, 8 : 26. What is 3 : ? (a) 10 (b) 11 (c) 9 (d) 12
19. 19.What is the value of the digit 5 in 52.193? (a) 0.5 (b) 0.05 (c) 50 (d) 5
20. 20.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 56 (b) 18 (c) 29 (d) 28
21. 21.Which is the greatest: 0.31, 0.3, 0.016, 0.224? (a) 0.31 (b) 0.3 (c) 0.016 (d) 0.224
22. 22.What is the simple interest on ₹9500 at 5% per year for 5 years? (a) ₹2375 (b) ₹11875 (c) ₹475 (d) ₹2850
23. 23.What is the value of the digit 5 in 63.251? (a) 0.005 (b) 5 (c) 0.05 (d) 0.5
24. 24.If 3x − 15 = 12, what is x? (a) 8 (b) 10 (c) 27 (d) 9
25. 25.Today is Monday. What day of the week will it be after 57 days? (a) Monday (b) Thursday (c) Wednesday (d) Tuesday
26. 26.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 2 : ? (a) 7 (b) 2 (c) 8 (d) 9
27. 27.Which is the greatest: 0.587, 0.086, 0.6, 0.65? (a) 0.587 (b) 0.086 (c) 0.6 (d) 0.65
28. 28.Which fraction is greater: 4/9 or 3/11? (a) 3/11 (b) 4/9 (c) They are equal
29. 29.What is the average of 64, 70, 58 and 72? (a) 67 (b) 66 (c) 65 (d) 88
30. 30.Which fraction is greater: 2/9 or 1/4? (a) 2/9 (b) They are equal (c) 1/4
31. 31.In how many years will ₹5000 earn ₹600 simple interest at 6% per year? (a) 3 years (b) 1 year (c) 4 years (d) 2 years
32. 32.Every pair follows the same rule: 4 : 15, 5 : 16, 9 : 20. What is 8 : ? (a) 21 (b) 20 (c) 19 (d) 18
33. 33.₹84 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹12 (b) ₹42 (c) ₹72 (d) ₹84
34. 34.If 9 pens cost ₹117, how much do 8 pens cost? (a) ₹116 (b) ₹104 (c) ₹117 (d) ₹936
35. 35.₹112 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹98 (b) ₹14 (c) ₹112 (d) ₹56
36. 36.Every pair follows the same rule: 2 : 8, 3 : 27, 6 : 216. What is 5 : ? (a) 125 (b) 11 (c) 153 (d) 20
37. 37.Today is Friday. What day of the week will it be after 56 days? (a) Saturday (b) Sunday (c) Thursday (d) Friday
38. 38.Every pair follows the same rule: 6 : 48, 7 : 56, 9 : 72. What is 2 : ? (a) 44 (b) 17 (c) 16 (d) 15
39. 39.Every pair follows the same rule: 3 : 27, 8 : 72, 9 : 81. What is 6 : ? (a) 54 (b) 53 (c) 30 (d) 55
40. 40.What is the value of the digit 5 in 78.154? (a) 0.5 (b) 5 (c) 0.005 (d) 0.05

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