Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 25 · 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 square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
2. 2.A teacher has 21 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 7 (c) 84 (d) 1
3. 3.If 27 January is a Sunday, what day of the week is 19 February? (a) Tuesday (b) Monday (c) Thursday (d) Wednesday
4. 4.Two ribbons are 77 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) 77 cm (b) 616 cm (c) 11 cm (d) 1 cm
5. 5.If 12 January is a Saturday, what day of the week is 2 February? (a) Saturday (b) Monday (c) Friday (d) Sunday
6. 6.What is the value of the digit 9 in 39.452? (a) 9 (b) 90 (c) 0.09 (d) 0.9
7. 7.What is the average of 44, 50, 59, 53 and 89? (a) 61 (b) 60 (c) 58 (d) 59
8. 8.₹6000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹8700 (b) ₹6540 (c) ₹9240 (d) ₹2700
9. 9.Two bells ring every 15 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 5 min (c) 375 min (d) 75 min
10. 10.Today is Friday. What day of the week will it be after 16 days? (a) Tuesday (b) Monday (c) Saturday (d) Sunday
11. 11.Two ribbons are 4 cm and 6 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 4 cm (c) 12 cm (d) 1 cm
12. 12.A shopkeeper buys a toy for ₹1000 and sells it for ₹1300. What is his profit percent? (a) 25% (b) 31% (c) 35% (d) 30%
13. 13.A teacher has 18 pencils and 81 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 18 (c) 63 (d) 3
14. 14.1.01 + 9.7 = ? (a) 10.71 (b) 10.61 (c) 1.98 (d) 10.81
15. 15.If 5 March is a Monday, what day of the week is 21 March? (a) Thursday (b) Tuesday (c) Friday (d) Wednesday
16. 16.Which is the greatest: 0.4, 0.44, 0.077, 0.394? (a) 0.4 (b) 0.44 (c) 0.077 (d) 0.394
17. 17.Two ribbons are 14 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 42 cm (b) 1 cm (c) 14 cm (d) 7 cm
18. 18.What is the average of all the whole numbers from 9 to 17? (a) 13 (b) 4 (c) 8 (d) 14
19. 19.What is 3/8 of 48? (a) 6 (b) 18 (c) 24 (d) 30
20. 20.If 8x + 13 = 4x + 25, what is x? (a) 3 (b) 5 (c) 4 (d) 1
21. 21.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 500 (b) 45 (c) 100 (d) 200
22. 22.If 5x − 19 = 51, what is x? (a) 13 (b) 70 (c) 14 (d) 15
23. 23.A shopkeeper buys a toy for ₹600 and sells it for ₹660. What is his profit percent? (a) 5% (b) 60% (c) 10% (d) 15%
24. 24.What is the average of all the whole numbers from 29 to 57? (a) 14 (b) 44 (c) 43 (d) 28
25. 25.What is 25% of 860? (a) 215 (b) 430 (c) 645 (d) 2150
26. 26.Which is the greatest: 0.566, 0.6, 0.64, 0.036? (a) 0.566 (b) 0.6 (c) 0.64 (d) 0.036
27. 27.5 workers can build a wall in 10 days. How many days will 10 workers take, working at the same speed? (a) 6 days (b) 15 days (c) 5 days (d) 20 days
28. 28.What is 40% of 980? (a) 392 (b) 784 (c) 3920 (d) 588
29. 29.Every pair follows the same rule: 2 : 1, 3 : 3, 9 : 15. What is 7 : ? (a) 12 (b) 10 (c) 11 (d) 13
30. 30.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 70 min (b) 24 min (c) 2 min (d) 140 min
31. 31.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 30 sq cm (c) 44 sq cm (d) 15 sq cm
32. 32.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 13 (b) 28 (c) 59 (d) 14
33. 33.What is the value of the digit 9 in 91.382? (a) 90 (b) 0.09 (c) 9 (d) 0.9
34. 34.Every pair follows the same rule: 3 : 9, 4 : 16, 7 : 49. What is 6 : ? (a) 36 (b) 18 (c) 12 (d) 38
35. 35.A teacher has 18 pencils and 24 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 18 (c) 6 (d) 72
36. 36.In how many years will ₹6000 earn ₹3300 simple interest at 11% per year? (a) 10 years (b) 4 years (c) 5 years (d) 6 years
37. 37.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 10 sq cm (d) 20 sq cm
38. 38.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 10% (b) 27% (c) 20% (d) 15%
39. 39.Which fraction is greater: 1/11 or 1/5? (a) They are equal (b) 1/11 (c) 1/5
40. 40.₹5000 is invested at 10% per year simple interest. What is the amount after 2 years? (a) ₹5500 (b) ₹6500 (c) ₹6000 (d) ₹1000

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