Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 182 · 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 smallest number of sweets that can be shared equally among 8 children or among 28 children, with none left over? (a) 56 (b) 112 (c) 224 (d) 36
2. 2.Which fraction is greater: 2/5 or 1/3? (a) They are equal (b) 1/3 (c) 2/5
3. 3.9.42 + 1.7 = ? (a) 9.59 (b) 11.22 (c) 11.12 (d) 11.02
4. 4.₹88 is shared between two friends in the ratio 4 : 7. How much is the bigger share? (a) ₹56 (b) ₹8 (c) ₹44 (d) ₹32
5. 5.₹234 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹117 (b) ₹195 (c) ₹39 (d) ₹234
6. 6.Two ribbons are 50 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) 10 cm (b) 5 cm (c) 30 cm (d) 50 cm
7. 7.What is 30% of 740? (a) 222 (b) 518 (c) 2220 (d) 444
8. 8.If 9 August is a Wednesday, what day of the week is 19 August? (a) Monday (b) Saturday (c) Friday (d) Sunday
9. 9.If 8x + 11 = x + 39, what is x? (a) 6 (b) 3 (c) 4 (d) 5
10. 10.Which is the greatest: 0.096, 0.4, 0.373, 0.41? (a) 0.096 (b) 0.4 (c) 0.373 (d) 0.41
11. 11.Two ribbons are 24 cm and 60 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 12 cm (b) 6 cm (c) 36 cm (d) 24 cm
12. 12.₹99 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹11 (b) ₹44 (c) ₹66 (d) ₹55
13. 13.If 16 April is a Wednesday, what day of the week is 3 May? (a) Monday (b) Saturday (c) Sunday (d) Friday
14. 14.Every pair follows the same rule: 2 : 10, 4 : 22, 8 : 70. What is 6 : ? (a) 46 (b) 14 (c) 30 (d) 42
15. 15.Which fraction is greater: 4/5 or 2/3? (a) 4/5 (b) 2/3 (c) They are equal
16. 16.2/4 + 1/6 = ? (a) 3/4 (b) 2/3 (c) 3/10 (d) 7/12
17. 17.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 101 (b) 45 (c) 37 (d) 72
18. 18.In how many years will ₹9000 earn ₹540 simple interest at 2% per year? (a) 2 years (b) 3 years (c) 6 years (d) 4 years
19. 19.In how many years will ₹5500 earn ₹1100 simple interest at 4% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years
20. 20.If 2 August is a Sunday, what day of the week is 16 August? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
21. 21.What is 2/5 of 40? (a) 24 (b) 16 (c) 17 (d) 8
22. 22.Every pair follows the same rule: 2 : 7, 3 : 12, 8 : 37. What is 9 : ? (a) 14 (b) 43 (c) 42 (d) 41
23. 23.6.94 + 3.7 = ? (a) 7.31 (b) 10.54 (c) 10.74 (d) 10.64
24. 24.If 3 mangoes cost ₹60, how much do 10 mangoes cost? (a) ₹220 (b) ₹200 (c) ₹67 (d) ₹600
25. 25.A bag marked ₹200 is sold at a 40% discount. What is its selling price? (a) ₹80 (b) ₹160 (c) ₹120 (d) ₹280
26. 26.Which is the greatest: 0.45, 0.342, 0.4, 0.042? (a) 0.45 (b) 0.342 (c) 0.4 (d) 0.042
27. 27.Which of these numbers is divisible by 8? (a) 3432 (b) 3438 (c) 3447 (d) 3431
28. 28.Today is Wednesday. What day of the week will it be after 95 days? (a) Monday (b) Saturday (c) Tuesday (d) Sunday
29. 29.The simple interest on ₹4000 for 4 years is ₹320. What is the rate per year? (a) 1% (b) 2% (c) 8% (d) 3%
30. 30.Which is the greatest: 0.3, 0.061, 0.32, 0.235? (a) 0.3 (b) 0.061 (c) 0.32 (d) 0.235
31. 31.Today is Sunday. What day of the week will it be after 37 days? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
32. 32.Which is the smallest: 0.032, 0.111, 0.2, 0.26? (a) 0.032 (b) 0.111 (c) 0.2 (d) 0.26
33. 33.What is the smallest number of sweets that can be shared equally among 6 children or among 9 children, with none left over? (a) 54 (b) 18 (c) 36 (d) 15
34. 34.Two ribbons are 22 cm and 33 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 11 cm (b) 1 cm (c) 22 cm (d) 66 cm
35. 35.Which of these numbers is divisible by 9? (a) 4039 (b) 4051 (c) 4041 (d) 4047
36. 36.What is 1/2 of 12? (a) 5 (b) 12 (c) 6 (d) 7
37. 37.₹120 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹70 (b) ₹10 (c) ₹60 (d) ₹50
38. 38.₹222 is shared between two friends in the ratio 1 : 5. How much is the bigger share? (a) ₹222 (b) ₹185 (c) ₹37 (d) ₹111
39. 39.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 48 min (b) 540 min (c) 6 min (d) 90 min
40. 40.A shopkeeper buys a toy for ₹800 and sells it for ₹920. What is his profit percent? (a) 10% (b) 20% (c) 16% (d) 15%

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