Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 429 · 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 60, 65, 76, 72 and 102? (a) 74 (b) 77 (c) 76 (d) 75
2. 2.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 128 sq cm
3. 3.5.34 + 4.8 = ? (a) 5.82 (b) 10.04 (c) 10.24 (d) 10.14
4. 4.If 9 December is a Tuesday, what day of the week is 19 December? (a) Saturday (b) Sunday (c) Thursday (d) Friday
5. 5.Two ribbons are 20 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) 5 cm (b) 1 cm (c) 20 cm (d) 25 cm
6. 6.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
7. 7.What is 1/4 of 32? (a) 24 (b) 16 (c) 9 (d) 8
8. 8.What is the average of all the whole numbers from 6 to 14? (a) 10 (b) 8 (c) 11 (d) 4
9. 9.If 27 October is a Thursday, what day of the week is 12 November? (a) Saturday (b) Monday (c) Sunday (d) Friday
10. 10.Which fraction is greater: 7/12 or 2/5? (a) 7/12 (b) They are equal (c) 2/5
11. 11.What is 10% of 920? (a) 92 (b) 920 (c) 828 (d) 184
12. 12.What is the average of all the whole numbers from 14 to 26? (a) 6 (b) 20 (c) 21 (d) 12
13. 13.Which fraction is greater: 2/5 or 4/11? (a) 2/5 (b) They are equal (c) 4/11
14. 14.Every pair follows the same rule: 2 : 4, 4 : 16, 8 : 64. What is 5 : ? (a) 25 (b) 10 (c) 7 (d) 28
15. 15.5.61 + 9.1 = ? (a) 6.52 (b) 14.61 (c) 14.81 (d) 14.71
16. 16.If 12 September is a Thursday, what day of the week is 8 October? (a) Thursday (b) Wednesday (c) Monday (d) Tuesday
17. 17.The simple interest on ₹8000 for 5 years is ₹4400. What is the rate per year? (a) 55% (b) 10% (c) 11% (d) 12%
18. 18.Two ribbons are 15 cm and 20 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 60 cm (b) 5 cm (c) 15 cm (d) 1 cm
19. 19.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) 300 min (c) 60 min (d) 35 min
20. 20.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 49 sq cm (c) 42 sq cm (d) 26 sq cm
21. 21.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 119 cm (b) 48 cm (c) 41 cm (d) 24 cm
22. 22.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 34 cm (c) 17 cm (d) 30 cm
23. 23.What is the smallest number you must add to 289 to make it divisible by 5? (a) 1 (b) 4 (c) 2 (d) 3
24. 24.Every pair follows the same rule: 2 : 13, 3 : 18, 5 : 34. What is 8 : ? (a) 74 (b) 19 (c) 73 (d) 58
25. 25.₹1500 is invested at 6% per year simple interest. What is the amount after 2 years? (a) ₹1680 (b) ₹1590 (c) ₹1770 (d) ₹180
26. 26.Every pair follows the same rule: 5 : 9, 6 : 10, 8 : 12. What is 3 : ? (a) 9 (b) 7 (c) 6 (d) 8
27. 27.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 315 min (b) 36 min (c) 105 min (d) 3 min
28. 28.What is the average of 58, 41, 45, 64 and 57? (a) 52 (b) 53 (c) 54 (d) 55
29. 29.Which of these numbers is divisible by 4? (a) 1781 (b) 1786 (c) 1789 (d) 1784
30. 30.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 72 min (b) 42 min (c) 432 min (d) 6 min
31. 31.A teacher has 24 pencils and 64 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 4 (b) 40 (c) 24 (d) 8
32. 32.Every pair follows the same rule: 2 : 7, 3 : 12, 9 : 84. What is 7 : ? (a) 12 (b) 52 (c) 60 (d) 53
33. 33.Which of these numbers is divisible by 4? (a) 1160 (b) 1166 (c) 1158 (d) 1162
34. 34.What is the smallest number of sweets that can be shared equally among 15 children or among 25 children, with none left over? (a) 150 (b) 375 (c) 75 (d) 40
35. 35.What is the average of 69, 57, 54 and 72? (a) 84 (b) 63 (c) 62 (d) 64
36. 36.Today is Monday. What day of the week will it be after 56 days? (a) Tuesday (b) Monday (c) Wednesday (d) Sunday
37. 37.What is the simple interest on ₹6500 at 4% per year for 4 years? (a) ₹7540 (b) ₹260 (c) ₹1300 (d) ₹1040
38. 38.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 32 sq cm (c) 66 sq cm (d) 16 sq cm
39. 39.In how many years will ₹9500 earn ₹760 simple interest at 4% per year? (a) 1 year (b) 2 years (c) 3 years (d) 4 years
40. 40.If 5 October is a Wednesday, what day of the week is 17 October? (a) Tuesday (b) Monday (c) Sunday (d) Wednesday

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