Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 426 · 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.Which fraction is greater: 1/6 or 1/7? (a) 1/6 (b) 1/7 (c) They are equal
2. 2.A bag marked ₹1220 is sold at a 50% discount. What is its selling price? (a) ₹611 (b) ₹610 (c) ₹1170 (d) ₹1830
3. 3.1/2 + 5/7 = ? (a) 2/3 (b) 17/14 (c) 9/7 (d) 8/7
4. 4.4 workers can build a wall in 6 days. How many days will 2 workers take, working at the same speed? (a) 3 days (b) 12 days (c) 8 days (d) 4 days
5. 5.What is the smallest number you must add to 183 to make it divisible by 9? (a) 6 (b) 5 (c) 3 (d) 7
6. 6.3/4 + 2/3 = ? (a) 5/7 (b) 4/3 (c) 3/2 (d) 17/12
7. 7.Today is Tuesday. What day of the week will it be after 48 days? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
8. 8.Two ribbons are 16 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) 4 cm (b) 16 cm (c) 2 cm (d) 20 cm
9. 9.A shopkeeper buys a toy for ₹680 and sells it for ₹952. What is his profit percent? (a) 35% (b) 45% (c) 41% (d) 40%
10. 10.What is the remainder when 177 is divided by 4? (a) 3 (b) 1 (c) 0 (d) 2
11. 11.₹65 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹52 (b) ₹13 (c) ₹53 (d) ₹65
12. 12.A shopkeeper buys a toy for ₹420 and sells it for ₹462. What is his profit percent? (a) 42% (b) 10% (c) 15% (d) 5%
13. 13.A shopkeeper buys a toy for ₹580 and sells it for ₹638. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 58%
14. 14.₹6000 is invested at 7% per year simple interest. What is the amount after 5 years? (a) ₹6420 (b) ₹8100 (c) ₹2100 (d) ₹8520
15. 15.What is the value of the digit 2 in 78.246? (a) 0.2 (b) 2 (c) 0.02 (d) 0.002
16. 16.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 54 (b) 240 (c) 120 (d) 720
17. 17.In how many years will ₹2000 earn ₹720 simple interest at 12% per year? (a) 4 years (b) 3 years (c) 2 years (d) 6 years
18. 18.₹6000 is invested at 8% per year simple interest. What is the amount after 5 years? (a) ₹2400 (b) ₹6480 (c) ₹8400 (d) ₹8880
19. 19.If x/3 + 11 = 14, what is x? (a) 75 (b) 9 (c) 31 (d) 3
20. 20.8.54 + 8.6 = ? (a) 9.4 (b) 17.14 (c) 17.24 (d) 17.04
21. 21.If 9 October is a Saturday, what day of the week is 20 October? (a) Tuesday (b) Thursday (c) Friday (d) Wednesday
22. 22.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 24 (c) 52 (d) 34
23. 23.If 16 May is a Wednesday, what day of the week is 3 June? (a) Tuesday (b) Sunday (c) Saturday (d) Monday
24. 24.Every pair follows the same rule: 5 : 24, 6 : 28, 8 : 36. What is 2 : ? (a) 21 (b) 12 (c) 11 (d) 13
25. 25.What is the units digit of 3^59? (a) 1 (b) 9 (c) 7 (d) 3
26. 26.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 85 (b) 37 (c) 38 (d) 42
27. 27.Which is the greatest: 0.7, 0.081, 0.613, 0.74? (a) 0.7 (b) 0.081 (c) 0.613 (d) 0.74
28. 28.What is the remainder when 791 is divided by 12? (a) 1 (b) 11 (c) 10 (d) 9
29. 29.Which of these numbers is divisible by 6? (a) 3652 (b) 3655 (c) 3654 (d) 3662
30. 30.In how many years will ₹5000 earn ₹750 simple interest at 5% per year? (a) 4 years (b) 2 years (c) 6 years (d) 3 years
31. 31.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 23 (b) 55 (c) 27 (d) 22
32. 32.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) 24 min (b) 14 min (c) 48 min (d) 2 min
33. 33.A shopkeeper buys a toy for ₹500 and sells it for ₹750. What is his profit percent? (a) 50% (b) 51% (c) 55% (d) 45%
34. 34.Two ribbons are 70 cm and 80 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) 70 cm (c) 10 cm (d) 560 cm
35. 35.If 14 July is a Monday, what day of the week is 25 July? (a) Friday (b) Saturday (c) Sunday (d) Thursday
36. 36.Today is Friday. What day of the week will it be after 75 days? (a) Thursday (b) Friday (c) Wednesday (d) Tuesday
37. 37.Every pair follows the same rule: 5 : 24, 6 : 25, 8 : 27. What is 2 : ? (a) 21 (b) 23 (c) 22 (d) 20
38. 38.Which of these numbers is divisible by 11? (a) 2189 (b) 2206 (c) 2187 (d) 2198
39. 39.3.64 + 8.5 = ? (a) 12.24 (b) 12.14 (c) 12.04 (d) 4.49
40. 40.Every pair follows the same rule: 7 : 15, 8 : 17, 9 : 19. What is 6 : ? (a) 14 (b) 15 (c) 12 (d) 13

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