Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 126 · 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 the average of 63, 60, 61 and 76? (a) 67 (b) 65 (c) 66 (d) 64
2. 2.If 18 November is a Tuesday, what day of the week is 11 December? (a) Thursday (b) Friday (c) Wednesday (d) Saturday
3. 3.Every pair follows the same rule: 6 : 36, 8 : 64, 9 : 81. What is 7 : ? (a) 42 (b) 47 (c) 49 (d) 37
4. 4.Which fraction is greater: 4/9 or 3/5? (a) They are equal (b) 4/9 (c) 3/5
5. 5.If 7x + 4 = 32, what is x? (a) 3 (b) 28 (c) 4 (d) 5
6. 6.₹110 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹22 (b) ₹55 (c) ₹88 (d) ₹110
7. 7.Today is Wednesday. What day of the week will it be after 28 days? (a) Thursday (b) Tuesday (c) Wednesday (d) Friday
8. 8.Two ribbons are 27 cm and 36 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 108 cm (b) 27 cm (c) 9 cm (d) 3 cm
9. 9.What is 30% of 580? (a) 406 (b) 174 (c) 348 (d) 1740
10. 10.If 31 January is a Tuesday, what day of the week is 4 February? (a) Sunday (b) Saturday (c) Friday (d) Monday
11. 11.What is the simple interest on ₹1500 at 4% per year for 5 years? (a) ₹1800 (b) ₹300 (c) ₹60 (d) ₹360
12. 12.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 5 (b) 15 (c) 29 (d) 19
13. 13.Which of these numbers is divisible by 9? (a) 3950 (b) 3941 (c) 3933 (d) 3932
14. 14.What is the average of 64, 76, 59 and 85? (a) 73 (b) 71 (c) 72 (d) 70
15. 15.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
16. 16.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 10 cm (c) 4 cm (d) 3 cm
17. 17.Which fraction is greater: 1/5 or 4/11? (a) 4/11 (b) They are equal (c) 1/5
18. 18.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 14 cm (c) 7 cm (d) 8 cm
19. 19.3.57 + 1.5 = ? (a) 4.97 (b) 5.07 (c) 5.17 (d) 3.72
20. 20.9 workers can build a wall in 7 days. How many days will 7 workers take, working at the same speed? (a) 10 days (b) 5 days (c) 9 days (d) 8 days
21. 21.If 6x + 16 = 3x + 19, what is x? (a) 3 (b) 2 (c) 1 (d) 4
22. 22.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 4 (b) 3 (c) 28 (d) 13
23. 23.What is the smallest number of sweets that can be shared equally among 9 children or among 15 children, with none left over? (a) 90 (b) 135 (c) 24 (d) 45
24. 24.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 525 min (b) 50 min (c) 5 min (d) 105 min
25. 25.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 33 (b) 31 (c) 20 (d) 49
26. 26.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 150 min (b) 30 min (c) 5 min (d) 25 min
27. 27.If 6x + 7 = x + 32, what is x? (a) 7 (b) 5 (c) 6 (d) 4
28. 28.Two bells ring every 18 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 756 min (b) 126 min (c) 6 min (d) 60 min
29. 29.Every pair follows the same rule: 3 : 7, 4 : 10, 5 : 13. What is 9 : ? (a) 26 (b) 13 (c) 24 (d) 25
30. 30.If 21 October is a Monday, what day of the week is 2 November? (a) Friday (b) Saturday (c) Sunday (d) Monday
31. 31.What is the average of 46, 47, 34, 50 and 68? (a) 51 (b) 49 (c) 50 (d) 48
32. 32.Every pair follows the same rule: 3 : 14, 5 : 30, 7 : 54. What is 6 : ? (a) 40 (b) 42 (c) 41 (d) 17
33. 33.A shopkeeper buys a toy for ₹320 and sells it for ₹272. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 48%
34. 34.If 6 July is a Monday, what day of the week is 20 July? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
35. 35.Today is Monday. What day of the week will it be after 63 days? (a) Wednesday (b) Monday (c) Sunday (d) Tuesday
36. 36.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 140 (b) 45 (c) 70 (d) 350
37. 37.The simple interest on ₹3500 for 5 years is ₹1925. What is the rate per year? (a) 12% (b) 10% (c) 55% (d) 11%
38. 38.Every pair follows the same rule: 2 : 10, 3 : 13, 5 : 19. What is 4 : ? (a) 12 (b) 16 (c) 20 (d) 17
39. 39.Which fraction is greater: 6/11 or 5/7? (a) 5/7 (b) They are equal (c) 6/11
40. 40.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm

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