Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 622 · 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 is the smallest: 0.396, 0.46, 0.072, 0.4? (a) 0.396 (b) 0.46 (c) 0.072 (d) 0.4
2. 2.Today is Thursday. What day of the week will it be after 77 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
3. 3.A shopkeeper buys a toy for ₹520 and sells it for ₹676. What is his profit percent? (a) 30% (b) 31% (c) 35% (d) 25%
4. 4.A bag marked ₹620 is sold at a 40% discount. What is its selling price? (a) ₹248 (b) ₹372 (c) ₹868 (d) ₹580
5. 5.What is the value of the digit 9 in 83.579? (a) 0.9 (b) 0.09 (c) 9 (d) 0.009
6. 6.Two ribbons are 66 cm and 77 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 66 cm (c) 11 cm (d) 462 cm
7. 7.2/4 + 1/2 = ? (a) 3/4 (b) 1/2 (c) 5/4 (d) 1
8. 8.A shopkeeper buys a toy for ₹340 and sells it for ₹272. What is his loss percent? (a) 25% (b) 68% (c) 15% (d) 20%
9. 9.Every pair follows the same rule: 2 : 8, 5 : 125, 6 : 216. What is 1 : ? (a) 1 (b) 4 (c) 2 (d) 7
10. 10.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 56 (b) 28 (c) 54 (d) 30
11. 11.In how many years will ₹1500 earn ₹405 simple interest at 9% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
12. 12.₹132 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹132 (b) ₹33 (c) ₹66 (d) ₹99
13. 13.A bag marked ₹720 is sold at a 25% discount. What is its selling price? (a) ₹900 (b) ₹695 (c) ₹180 (d) ₹540
14. 14.Two bells ring every 10 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 120 min (b) 22 min (c) 2 min (d) 60 min
15. 15.Every pair follows the same rule: 3 : 10, 7 : 22, 8 : 25. What is 6 : ? (a) 18 (b) 20 (c) 13 (d) 19
16. 16.Which is the smallest: 0.081, 0.431, 0.52, 0.5? (a) 0.081 (b) 0.431 (c) 0.52 (d) 0.5
17. 17.2/4 + 4/5 = ? (a) 2/3 (b) 27/20 (c) 13/10 (d) 5/4
18. 18.What is the average of 38, 31, 35, 14 and 27? (a) 30 (b) 31 (c) 29 (d) 28
19. 19.Every pair follows the same rule: 3 : 6, 4 : 8, 6 : 12. What is 8 : ? (a) 11 (b) 17 (c) 15 (d) 16
20. 20.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 25 (b) 64 (c) 83 (d) 44
21. 21.Today is Thursday. What day of the week will it be after 47 days? (a) Monday (b) Tuesday (c) Wednesday (d) Thursday
22. 22.Two ribbons are 22 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 33 cm (b) 1 cm (c) 22 cm (d) 11 cm
23. 23.If x/6 + 2 = 12, what is x? (a) 70 (b) 84 (c) 10 (d) 60
24. 24.Today is Saturday. What day of the week will it be after 47 days? (a) Friday (b) Wednesday (c) Thursday (d) Saturday
25. 25.If 21 November is a Tuesday, what day of the week is 9 December? (a) Monday (b) Sunday (c) Saturday (d) Friday
26. 26.What is the simple interest on ₹7500 at 12% per year for 4 years? (a) ₹900 (b) ₹3600 (c) ₹4500 (d) ₹11100
27. 27.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 48 sq cm (d) 40 sq cm
28. 28.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 10 (b) 32 (c) 17 (d) 25
29. 29.A shopkeeper buys a toy for ₹220 and sells it for ₹198. What is his loss percent? (a) 15% (b) 5% (c) 22% (d) 10%
30. 30.What is the simple interest on ₹3000 at 12% per year for 3 years? (a) ₹360 (b) ₹1440 (c) ₹1080 (d) ₹4080
31. 31.Today is Wednesday. What day of the week will it be after 96 days? (a) Tuesday (b) Sunday (c) Monday (d) Wednesday
32. 32.A bag marked ₹1560 is sold at a 15% discount. What is its selling price? (a) ₹1326 (b) ₹1545 (c) ₹234 (d) ₹1794
33. 33.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 46 (b) 39 (c) 49 (d) 81
34. 34.What is the average of 16, 24, 19, 32 and 34? (a) 25 (b) 24 (c) 27 (d) 26
35. 35.₹42 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹42 (b) ₹6 (c) ₹21 (d) ₹36
36. 36.Which fraction is greater: 4/9 or 2/5? (a) 2/5 (b) They are equal (c) 4/9
37. 37.Today is Thursday. What day of the week will it be after 15 days? (a) Friday (b) Thursday (c) Saturday (d) Sunday
38. 38.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 38 (b) 75 (c) 7 (d) 44
39. 39.3 workers can build a wall in 15 days. How many days will 5 workers take, working at the same speed? (a) 17 days (b) 13 days (c) 9 days (d) 25 days
40. 40.Which fraction is greater: 1/10 or 3/4? (a) They are equal (b) 3/4 (c) 1/10

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