Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 571 · 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.What is 15% of 580? (a) 870 (b) 174 (c) 87 (d) 493
2. 2.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
3. 3.What is the units digit of 4^54? (a) 7 (b) 6 (c) 5 (d) 4
4. 4.6.91 + 2.2 = ? (a) 9.11 (b) 9.21 (c) 9.01 (d) 7.13
5. 5.Every pair follows the same rule: 2 : 12, 6 : 36, 9 : 54. What is 4 : ? (a) 23 (b) 24 (c) 14 (d) 25
6. 6.If 2x + 4 = 30, what is x? (a) 17 (b) 14 (c) 13 (d) 26
7. 7.Which fraction is greater: 1/5 or 3/11? (a) They are equal (b) 1/5 (c) 3/11
8. 8.1.21 + 6.9 = ? (a) 1.9 (b) 8.01 (c) 8.11 (d) 8.21
9. 9.Every pair follows the same rule: 2 : 6, 3 : 11, 4 : 18. What is 8 : ? (a) 46 (b) 24 (c) 12 (d) 66
10. 10.Today is Wednesday. What day of the week will it be after 53 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
11. 11.Two ribbons are 18 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 27 cm (b) 3 cm (c) 18 cm (d) 9 cm
12. 12.If 27 November is a Sunday, what day of the week is 5 December? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday
13. 13.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 10% (b) 5% (c) 30% (d) 15%
14. 14.Which is the smallest: 0.6, 0.592, 0.031, 0.67? (a) 0.6 (b) 0.592 (c) 0.031 (d) 0.67
15. 15.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 25 (c) 14 (d) 35
16. 16.What is 60% of 200? (a) 120 (b) 1200 (c) 80 (d) 240
17. 17.Which fraction is greater: 5/11 or 2/3? (a) 5/11 (b) They are equal (c) 2/3
18. 18.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
19. 19.What is the simple interest on ₹4000 at 11% per year for 3 years? (a) ₹1760 (b) ₹5320 (c) ₹440 (d) ₹1320
20. 20.Which of these numbers is divisible by 11? (a) 6276 (b) 6289 (c) 6270 (d) 6261
21. 21.6.27 + 8.8 = ? (a) 7.15 (b) 15.07 (c) 15.17 (d) 14.97
22. 22.If 9 mangoes cost ₹99, how much do 10 mangoes cost? (a) ₹100 (b) ₹110 (c) ₹121 (d) ₹990
23. 23.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 60 min (c) 300 min (d) 35 min
24. 24.If 4 kites cost ₹12, how much do 8 kites cost? (a) ₹27 (b) ₹16 (c) ₹24 (d) ₹96
25. 25.What is the simple interest on ₹8000 at 7% per year for 2 years? (a) ₹560 (b) ₹1680 (c) ₹1120 (d) ₹9120
26. 26.Which is the greatest: 0.348, 0.4, 0.067, 0.41? (a) 0.348 (b) 0.4 (c) 0.067 (d) 0.41
27. 27.What is the units digit of 9^51? (a) 8 (b) 1 (c) 7 (d) 9
28. 28.₹9000 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹1440 (b) ₹9360 (c) ₹10440 (d) ₹10800
29. 29.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 49 (b) 80 (c) 41 (d) 10
30. 30.What is the units digit of 3^25? (a) 1 (b) 3 (c) 7 (d) 9
31. 31.What is the smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 240 (b) 120 (c) 32 (d) 60
32. 32.Two ribbons are 12 cm and 30 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) 18 cm (c) 6 cm (d) 12 cm
33. 33.If 2 August is a Monday, what day of the week is 15 August? (a) Saturday (b) Tuesday (c) Sunday (d) Monday
34. 34.Which fraction is greater: 1/12 or 3/4? (a) They are equal (b) 1/12 (c) 3/4
35. 35.5 workers can build a wall in 4 days. How many days will 10 workers take, working at the same speed? (a) 3 days (b) 9 days (c) 8 days (d) 2 days
36. 36.Every pair follows the same rule: 2 : 7, 5 : 19, 9 : 35. What is 8 : ? (a) 13 (b) 30 (c) 31 (d) 32
37. 37.What is 4/9 of 63? (a) 7 (b) 28 (c) 29 (d) 35
38. 38.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
39. 39.Every pair follows the same rule: 3 : 22, 4 : 23, 9 : 28. What is 5 : ? (a) 25 (b) 23 (c) 26 (d) 24
40. 40.The simple interest on ₹1500 for 2 years is ₹120. What is the rate per year? (a) 5% (b) 3% (c) 8% (d) 4%

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