Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 491 · 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 batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 8 (b) 48 (c) 52 (d) 46
2. 2.What is the simple interest on ₹9000 at 5% per year for 3 years? (a) ₹1350 (b) ₹10350 (c) ₹1800 (d) ₹450
3. 3.Two bells ring every 6 minutes and every 8 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 14 min (b) 48 min (c) 2 min (d) 24 min
4. 4.If x/4 + 1 = 13, what is x? (a) 56 (b) 51 (c) 12 (d) 48
5. 5.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 18 cm (d) 9 cm
6. 6.The simple interest on ₹6500 for 3 years is ₹1170. What is the rate per year? (a) 18% (b) 5% (c) 6% (d) 7%
7. 7.If 13 May is a Saturday, what day of the week is 25 May? (a) Saturday (b) Thursday (c) Friday (d) Wednesday
8. 8.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) 30 min (b) 189 min (c) 3 min (d) 63 min
9. 9.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 37 (c) 27 (d) 14
10. 10.Two bells ring every 12 minutes and every 16 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 28 min (b) 192 min (c) 48 min (d) 4 min
11. 11.Which of these numbers is divisible by 4? (a) 2043 (b) 2047 (c) 2040 (d) 2039
12. 12.Which of these numbers is divisible by 4? (a) 2052 (b) 2057 (c) 2054 (d) 2049
13. 13.5 workers can build a wall in 6 days. How many days will 3 workers take, working at the same speed? (a) 11 days (b) 8 days (c) 4 days (d) 10 days
14. 14.What is 2/5 of 50? (a) 30 (b) 21 (c) 10 (d) 20
15. 15.Every pair follows the same rule: 2 : 3, 3 : 8, 6 : 35. What is 7 : ? (a) 8 (b) 44 (c) 49 (d) 48
16. 16.Today is Saturday. What day of the week will it be after 14 days? (a) Monday (b) Friday (c) Sunday (d) Saturday
17. 17.Every pair follows the same rule: 4 : 18, 6 : 38, 8 : 66. What is 3 : ? (a) 10 (b) 12 (c) 17 (d) 11
18. 18.Which is the smallest: 0.027, 0.35, 0.3, 0.238? (a) 0.027 (b) 0.35 (c) 0.3 (d) 0.238
19. 19.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 8 cm (c) 84 cm (d) 9 cm
20. 20.What is the average of all the whole numbers from 6 to 26? (a) 20 (b) 17 (c) 16 (d) 10
21. 21.9.24 + 4.6 = ? (a) 13.84 (b) 13.94 (c) 9.7 (d) 13.74
22. 22.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 9 cm (c) 63 cm (d) 8 cm
23. 23.₹4500 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹4995 (b) ₹6975 (c) ₹2475 (d) ₹7470
24. 24.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 24 cm (c) 48 cm (d) 40 cm
25. 25.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 4 min (c) 80 min (d) 320 min
26. 26.Today is Friday. What day of the week will it be after 73 days? (a) Sunday (b) Wednesday (c) Tuesday (d) Monday
27. 27.7.44 + 9.2 = ? (a) 16.74 (b) 8.36 (c) 16.64 (d) 16.54
28. 28.Every pair follows the same rule: 3 : 24, 4 : 32, 8 : 64. What is 2 : ? (a) 23 (b) 17 (c) 16 (d) 15
29. 29.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 19 cm (b) 78 cm (c) 32 cm (d) 38 cm
30. 30.Two ribbons are 28 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 28 cm (b) 7 cm (c) 1 cm (d) 35 cm
31. 31.Which of these numbers is divisible by 3? (a) 2254 (b) 2257 (c) 2253 (d) 2252
32. 32.If 5x + 20 = 50, what is x? (a) 7 (b) 6 (c) 14 (d) 30
33. 33.If 9x − 4 = 86, what is x? (a) 10 (b) 90 (c) 11 (d) 9
34. 34.Two bells ring every 8 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 96 min (b) 20 min (c) 24 min (d) 4 min
35. 35.Today is Sunday. What day of the week will it be after 52 days? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
36. 36.Every pair follows the same rule: 1 : 1, 3 : 27, 6 : 216. What is 4 : ? (a) 65 (b) 90 (c) 4 (d) 64
37. 37.Two ribbons are 30 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 30 cm (b) 24 cm (c) 3 cm (d) 6 cm
38. 38.If 11 October is a Wednesday, what day of the week is 14 November? (a) Monday (b) Wednesday (c) Tuesday (d) Thursday
39. 39.What is 7/9 of 36? (a) 28 (b) 4 (c) 8 (d) 32
40. 40.Which fraction is greater: 2/7 or 1/4? (a) They are equal (b) 2/7 (c) 1/4

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