Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 727 · 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.₹1000 is invested at 2% per year simple interest. What is the amount after 5 years? (a) ₹1120 (b) ₹1100 (c) ₹1020 (d) ₹100
2. 2.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) 28 min (c) 2 min (d) 56 min
3. 3.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 15 (b) 83 (c) 39 (d) 14
4. 4.A shopkeeper buys a toy for ₹480 and sells it for ₹576. What is his profit percent? (a) 96% (b) 25% (c) 20% (d) 15%
5. 5.1/2 + 1/2 = ? (a) 1/2 (b) 2 (c) 1 (d) 3/2
6. 6.A shopkeeper buys a toy for ₹800 and sells it for ₹920. What is his profit percent? (a) 15% (b) 10% (c) 20% (d) 16%
7. 7.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 29 cm (c) 19 cm (d) 38 cm
8. 8.What is 15% of 700? (a) 105 (b) 595 (c) 1050 (d) 210
9. 9.Every pair follows the same rule: 2 : 4, 4 : 16, 6 : 36. What is 3 : ? (a) 5 (b) 9 (c) 10 (d) 6
10. 10.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 300 (b) 55 (c) 150 (d) 750
11. 11.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 36 cm (d) 90 cm
12. 12.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 48 cm (c) 14 cm (d) 28 cm
13. 13.What is the value of the digit 6 in 36.874? (a) 0.06 (b) 6 (c) 0.6 (d) 60
14. 14.If x/2 + 8 = 16, what is x? (a) 8 (b) 16 (c) 48 (d) 24
15. 15.If 5 kites cost ₹60, how much do 4 kites cost? (a) ₹59 (b) ₹48 (c) ₹240 (d) ₹60
16. 16.If 11 December is a Tuesday, what day of the week is 19 December? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
17. 17.Which fraction is greater: 2/5 or 2/3? (a) They are equal (b) 2/3 (c) 2/5
18. 18.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 2 days (b) 1 day (c) 13 days (d) 16 days
19. 19.What is the smallest number of sweets that can be shared equally among 6 children or among 21 children, with none left over? (a) 84 (b) 42 (c) 27 (d) 126
20. 20.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 21 cm (d) 27 cm
21. 21.9 workers can build a wall in 14 days. How many days will 3 workers take, working at the same speed? (a) 20 days (b) 42 days (c) 43 days (d) 8 days
22. 22.If 11 October is a Tuesday, what day of the week is 25 October? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
23. 23.₹200 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹20 (b) ₹60 (c) ₹100 (d) ₹140
24. 24.Every pair follows the same rule: 6 : 48, 7 : 56, 9 : 72. What is 5 : ? (a) 41 (b) 40 (c) 39 (d) 47
25. 25.In how many years will ₹1500 earn ₹600 simple interest at 10% per year? (a) 4 years (b) 8 years (c) 3 years (d) 5 years
26. 26.Every pair follows the same rule: 2 : 3, 3 : 5, 6 : 11. What is 5 : ? (a) 8 (b) 6 (c) 10 (d) 9
27. 27.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 20% (b) 16% (c) 10% (d) 15%
28. 28.2/3 + 1/7 = ? (a) 3/10 (b) 16/21 (c) 6/7 (d) 17/21
29. 29.1/3 + 2/3 = ? (a) 4/3 (b) 1 (c) 2/3 (d) 1/2
30. 30.If 3 notebooks cost ₹72, how much do 4 notebooks cost? (a) ₹120 (b) ₹288 (c) ₹73 (d) ₹96
31. 31.Every pair follows the same rule: 2 : 4, 7 : 49, 8 : 64. What is 3 : ? (a) 9 (b) 6 (c) 10 (d) 5
32. 32.Today is Thursday. What day of the week will it be after 41 days? (a) Tuesday (b) Wednesday (c) Friday (d) Thursday
33. 33.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 135 sq cm (d) 120 sq cm
34. 34.What is the average of all the whole numbers from 29 to 49? (a) 39 (b) 20 (c) 40 (d) 10
35. 35.If 4 May is a Friday, what day of the week is 18 May? (a) Saturday (b) Thursday (c) Friday (d) Sunday
36. 36.₹4000 is invested at 5% per year simple interest. What is the amount after 2 years? (a) ₹4600 (b) ₹400 (c) ₹4200 (d) ₹4400
37. 37.Which fraction is greater: 4/11 or 7/10? (a) 4/11 (b) 7/10 (c) They are equal
38. 38.Every pair follows the same rule: 3 : 6, 7 : 46, 8 : 61. What is 5 : ? (a) 22 (b) 10 (c) 16 (d) 8
39. 39.Two bells ring every 12 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 180 min (b) 3 min (c) 27 min (d) 60 min
40. 40.What is 3/4 of 12? (a) 9 (b) 3 (c) 12 (d) 10

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