Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 347 · 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 rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 8 sq cm (d) 18 sq cm
2. 2.Every pair follows the same rule: 2 : 7, 3 : 12, 4 : 19. What is 9 : ? (a) 14 (b) 84 (c) 85 (d) 54
3. 3.A shopkeeper buys a toy for ₹320 and sells it for ₹192. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
4. 4.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 71 (b) 36 (c) 47 (d) 41
5. 5.Today is Friday. What day of the week will it be after 16 days? (a) Sunday (b) Saturday (c) Monday (d) Tuesday
6. 6.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 45 (c) 36 (d) 69
7. 7.What is the average of all the whole numbers from 37 to 73? (a) 36 (b) 55 (c) 56 (d) 18
8. 8.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 170 cm
9. 9.What is the smallest number of sweets that can be shared equally among 12 children or among 21 children, with none left over? (a) 252 (b) 168 (c) 33 (d) 84
10. 10.Which fraction is greater: 6/7 or 1/8? (a) 6/7 (b) 1/8 (c) They are equal
11. 11.What is the average of all the whole numbers from 55 to 89? (a) 34 (b) 17 (c) 73 (d) 72
12. 12.What is the value of the digit 3 in 23.184? (a) 30 (b) 0.3 (c) 0.03 (d) 3
13. 13.Every pair follows the same rule: 2 : 6, 7 : 11, 8 : 12. What is 9 : ? (a) 12 (b) 14 (c) 13 (d) 27
14. 14.The simple interest on ₹3500 for 4 years is ₹1260. What is the rate per year? (a) 36% (b) 8% (c) 10% (d) 9%
15. 15.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 42 (b) 89 (c) 13 (d) 12
16. 16.In how many years will ₹8500 earn ₹510 simple interest at 3% per year? (a) 3 years (b) 2 years (c) 1 year (d) 4 years
17. 17.Which is the smallest: 0.6, 0.073, 0.62, 0.589? (a) 0.6 (b) 0.073 (c) 0.62 (d) 0.589
18. 18.Every pair follows the same rule: 2 : 4, 8 : 64, 9 : 81. What is 5 : ? (a) 25 (b) 13 (c) 10 (d) 7
19. 19.Which of these numbers is divisible by 8? (a) 6744 (b) 6755 (c) 6748 (d) 6742
20. 20.Which fraction is greater: 1/11 or 1/8? (a) They are equal (b) 1/8 (c) 1/11
21. 21.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 220 cm (c) 12 cm (d) 24 cm
22. 22.A shopkeeper buys a toy for ₹180 and sells it for ₹216. What is his profit percent? (a) 15% (b) 20% (c) 36% (d) 25%
23. 23.If 7 October is a Saturday, what day of the week is 21 October? (a) Sunday (b) Friday (c) Saturday (d) Monday
24. 24.If 15 May is a Monday, what day of the week is 25 May? (a) Thursday (b) Saturday (c) Friday (d) Wednesday
25. 25.What is 3/8 of 56? (a) 7 (b) 28 (c) 21 (d) 35
26. 26.If 3 mangoes cost ₹18, how much do 7 mangoes cost? (a) ₹48 (b) ₹126 (c) ₹22 (d) ₹42
27. 27.If 20 January is a Tuesday, what day of the week is 5 February? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
28. 28.What is the average of 34, 28, 21 and 25? (a) 27 (b) 28 (c) 26 (d) 36
29. 29.Every pair follows the same rule: 5 : 17, 7 : 19, 8 : 20. What is 4 : ? (a) 16 (b) 15 (c) 18 (d) 17
30. 30.A shopkeeper buys a toy for ₹1000 and sells it for ₹1500. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
31. 31.What is 1/2 of 18? (a) 18 (b) 9 (c) 8 (d) 10
32. 32.Every pair follows the same rule: 2 : 6, 3 : 9, 9 : 27. What is 6 : ? (a) 17 (b) 10 (c) 19 (d) 18
33. 33.If 15 July is a Wednesday, what day of the week is 10 August? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
34. 34.₹9000 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹10440 (b) ₹11160 (c) ₹1440 (d) ₹9720
35. 35.What is the remainder when 621 is divided by 12? (a) 3 (b) 10 (c) 9 (d) 8
36. 36.9 workers can build a wall in 4 days. How many days will 6 workers take, working at the same speed? (a) 7 days (b) 5 days (c) 1 day (d) 6 days
37. 37.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 17 cm (c) 27 cm (d) 34 cm
38. 38.Today is Sunday. What day of the week will it be after 17 days? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
39. 39.Which is the smallest: 0.162, 0.015, 0.2, 0.21? (a) 0.162 (b) 0.015 (c) 0.2 (d) 0.21
40. 40.Every pair follows the same rule: 6 : 15, 7 : 16, 8 : 17. What is 9 : ? (a) 17 (b) 20 (c) 19 (d) 18

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