Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 783 · 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.If 7 mangoes cost ₹91, how much do 8 mangoes cost? (a) ₹728 (b) ₹104 (c) ₹117 (d) ₹92
2. 2.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 189 min (b) 63 min (c) 30 min (d) 3 min
3. 3.1/4 + 4/5 = ? (a) 21/20 (b) 5/9 (c) 11/10 (d) 1
4. 4.Every pair follows the same rule: 2 : 1, 6 : 33, 8 : 61. What is 9 : ? (a) 79 (b) 77 (c) 75 (d) 78
5. 5.If 10 September is a Sunday, what day of the week is 16 October? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
6. 6.Which fraction is greater: 5/6 or 2/5? (a) 5/6 (b) They are equal (c) 2/5
7. 7.If 28 April is a Saturday, what day of the week is 6 May? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
8. 8.If 15 January is a Monday, what day of the week is 27 January? (a) Monday (b) Sunday (c) Friday (d) Saturday
9. 9.If 9x + 16 = 88, what is x? (a) 7 (b) 9 (c) 72 (d) 8
10. 10.If 6 October is a Tuesday, what day of the week is 19 October? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
11. 11.Which is the greatest: 0.49, 0.4, 0.387, 0.069? (a) 0.49 (b) 0.4 (c) 0.387 (d) 0.069
12. 12.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 60 cm (c) 17 cm (d) 34 cm
13. 13.3 workers can build a wall in 4 days. How many days will 12 workers take, working at the same speed? (a) 13 days (b) 2 days (c) 1 day (d) 16 days
14. 14.Which of these numbers is divisible by 9? (a) 5627 (b) 5625 (c) 5638 (d) 5622
15. 15.What is 25% of 260? (a) 650 (b) 130 (c) 195 (d) 65
16. 16.Every pair follows the same rule: 3 : 6, 4 : 13, 6 : 33. What is 5 : ? (a) 10 (b) 23 (c) 22 (d) 8
17. 17.Every pair follows the same rule: 2 : 5, 3 : 7, 5 : 11. What is 9 : ? (a) 18 (b) 20 (c) 12 (d) 19
18. 18.Which of these numbers is divisible by 3? (a) 638 (b) 636 (c) 640 (d) 635
19. 19.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 66 (c) 45 (d) 101
20. 20.What is 25% of 560? (a) 140 (b) 280 (c) 420 (d) 1400
21. 21.What is the simple interest on ₹2000 at 11% per year for 3 years? (a) ₹660 (b) ₹220 (c) ₹2660 (d) ₹880
22. 22.Which fraction is greater: 1/5 or 1/4? (a) 1/4 (b) They are equal (c) 1/5
23. 23.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 27 sq cm (c) 24 sq cm (d) 12 sq cm
24. 24.What is the average of 30, 41, 44 and 33? (a) 37 (b) 36 (c) 38 (d) 39
25. 25.If 28 June is a Monday, what day of the week is 6 July? (a) Wednesday (b) Thursday (c) Tuesday (d) Monday
26. 26.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
27. 27.If 16 July is a Wednesday, what day of the week is 13 August? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
28. 28.If 8 December is a Sunday, what day of the week is 20 December? (a) Thursday (b) Friday (c) Sunday (d) Saturday
29. 29.Every pair follows the same rule: 3 : 9, 4 : 12, 7 : 21. What is 9 : ? (a) 27 (b) 15 (c) 26 (d) 28
30. 30.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 46 cm (b) 132 cm (c) 23 cm (d) 35 cm
31. 31.Which is the greatest: 0.6, 0.536, 0.64, 0.047? (a) 0.6 (b) 0.536 (c) 0.64 (d) 0.047
32. 32.What is 6/7 of 56? (a) 8 (b) 56 (c) 49 (d) 48
33. 33.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 8 (b) 44 (c) 87 (d) 51
34. 34.Two ribbons are 8 cm and 14 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 2 cm (c) 8 cm (d) 6 cm
35. 35.Two ribbons are 20 cm and 35 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 20 cm (c) 5 cm (d) 15 cm
36. 36.What is the units digit of 2^14? (a) 6 (b) 4 (c) 2 (d) 8
37. 37.If 13 June is a Sunday, what day of the week is 18 July? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
38. 38.What is the simple interest on ₹9500 at 11% per year for 5 years? (a) ₹5225 (b) ₹1045 (c) ₹14725 (d) ₹6270
39. 39.What is the value of the digit 5 in 53.169? (a) 5 (b) 0.05 (c) 0.5 (d) 50
40. 40.4.61 + 9.9 = ? (a) 14.51 (b) 14.61 (c) 14.41 (d) 5.6

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