Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 422 · 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 ₹2000 for 4 years is ₹720. What is the rate per year? (a) 36% (b) 8% (c) 10% (d) 9%
2. 2.If 6 March is a Saturday, what day of the week is 14 March? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
3. 3.What is the units digit of 2^38? (a) 4 (b) 2 (c) 6 (d) 8
4. 4.Which of these numbers is divisible by 11? (a) 4363 (b) 4346 (c) 4356 (d) 4371
5. 5.If 15 March is a Saturday, what day of the week is 25 March? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
6. 6.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
7. 7.Which fraction is greater: 1/5 or 2/11? (a) 2/11 (b) 1/5 (c) They are equal
8. 8.If x/2 + 1 = 8, what is x? (a) 7 (b) 18 (c) 15 (d) 14
9. 9.A shopkeeper buys a toy for ₹820 and sells it for ₹1148. What is his profit percent? (a) 35% (b) 40% (c) 41% (d) 45%
10. 10.If 4 August is a Saturday, what day of the week is 20 August? (a) Tuesday (b) Sunday (c) Wednesday (d) Monday
11. 11.Which is the smallest: 0.056, 0.3, 0.224, 0.37? (a) 0.056 (b) 0.3 (c) 0.224 (d) 0.37
12. 12.If 1 January is a Saturday, what day of the week is 11 January? (a) Wednesday (b) Monday (c) Tuesday (d) Thursday
13. 13.A bag marked ₹1560 is sold at a 30% discount. What is its selling price? (a) ₹2028 (b) ₹1092 (c) ₹468 (d) ₹1530
14. 14.Which is the greatest: 0.734, 0.82, 0.8, 0.025? (a) 0.734 (b) 0.82 (c) 0.8 (d) 0.025
15. 15.What is 1/2 of 22? (a) 22 (b) 10 (c) 12 (d) 11
16. 16.Today is Saturday. What day of the week will it be after 84 days? (a) Sunday (b) Monday (c) Saturday (d) Friday
17. 17.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) 6 cm (c) 12 cm (d) 42 cm
18. 18.If 2 October is a Tuesday, what day of the week is 17 October? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
19. 19.If 7 January is a Monday, what day of the week is 18 January? (a) Saturday (b) Thursday (c) Sunday (d) Friday
20. 20.If x/2 + 8 = 14, what is x? (a) 6 (b) 44 (c) 12 (d) 20
21. 21.What is the simple interest on ₹3000 at 5% per year for 2 years? (a) ₹150 (b) ₹3300 (c) ₹300 (d) ₹450
22. 22.Every pair follows the same rule: 3 : 17, 4 : 21, 6 : 29. What is 8 : ? (a) 37 (b) 36 (c) 38 (d) 22
23. 23.What is the value of the digit 9 in 67.931? (a) 0.009 (b) 0.9 (c) 0.09 (d) 9
24. 24.If 9x + 21 = 39, what is x? (a) 2 (b) 1 (c) 3 (d) 18
25. 25.A shopkeeper buys a toy for ₹520 and sells it for ₹390. What is his loss percent? (a) 20% (b) 26% (c) 30% (d) 25%
26. 26.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 27 (b) 84 (c) 126 (d) 42
27. 27.Every pair follows the same rule: 4 : 15, 6 : 23, 8 : 31. What is 9 : ? (a) 35 (b) 36 (c) 34 (d) 20
28. 28.₹2500 is invested at 4% per year simple interest. What is the amount after 2 years? (a) ₹200 (b) ₹2800 (c) ₹2600 (d) ₹2700
29. 29.A bag marked ₹740 is sold at a 50% discount. What is its selling price? (a) ₹690 (b) ₹370 (c) ₹371 (d) ₹1110
30. 30.Two ribbons are 18 cm and 48 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 18 cm (c) 3 cm (d) 30 cm
31. 31.What is the average of all the whole numbers from 15 to 25? (a) 10 (b) 21 (c) 5 (d) 20
32. 32.Which fraction is greater: 4/5 or 5/8? (a) 4/5 (b) 5/8 (c) They are equal
33. 33.Which is the smallest: 0.659, 0.039, 0.76, 0.7? (a) 0.659 (b) 0.039 (c) 0.76 (d) 0.7
34. 34.What is the average of 55, 76, 70, 55, 77 and 81? (a) 71 (b) 70 (c) 69 (d) 68
35. 35.What is 1/2 of 20? (a) 10 (b) 20 (c) 11 (d) 9
36. 36.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
37. 37.A shopkeeper buys a toy for ₹1000 and sells it for ₹850. What is his loss percent? (a) 20% (b) 10% (c) 16% (d) 15%
38. 38.The simple interest on ₹2500 for 4 years is ₹1200. What is the rate per year? (a) 12% (b) 13% (c) 11% (d) 48%
39. 39.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
40. 40.If 13 July is a Saturday, what day of the week is 24 July? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday

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