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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 690 · 40 questions
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.Which fraction is greater: 2/3 or 8/11? (a) 8/11 (b) 2/3 (c) They are equal
  2. 2.7.93 + 5.1 = ? (a) 8.44 (b) 12.93 (c) 13.03 (d) 13.13
  3. 3.If 3x − 24 = 15, what is x? (a) 14 (b) 13 (c) 39 (d) 12
  4. 4.Every pair follows the same rule: 2 : 15, 7 : 20, 8 : 21. What is 4 : ? (a) 17 (b) 16 (c) 18 (d) 19
  5. 5.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 17 (b) 11 (c) 12 (d) 35
  6. 6.6.91 + 1.8 = ? (a) 8.61 (b) 8.81 (c) 7.09 (d) 8.71
  7. 7.Every pair follows the same rule: 2 : 4, 6 : 36, 9 : 81. What is 5 : ? (a) 21 (b) 7 (c) 10 (d) 25
  8. 8.Which fraction is greater: 1/8 or 2/5? (a) 2/5 (b) They are equal (c) 1/8
  9. 9.What is the simple interest on ₹2500 at 3% per year for 3 years? (a) ₹300 (b) ₹225 (c) ₹75 (d) ₹2725
  10. 10.₹1500 is invested at 5% per year simple interest. What is the amount after 3 years? (a) ₹225 (b) ₹1800 (c) ₹1725 (d) ₹1575
  11. 11.If 29 October is a Thursday, what day of the week is 5 November? (a) Wednesday (b) Saturday (c) Thursday (d) Friday
  12. 12.Which is the smallest: 0.44, 0.032, 0.4, 0.316? (a) 0.44 (b) 0.032 (c) 0.4 (d) 0.316
  13. 13.What is 5/8 of 88? (a) 33 (b) 11 (c) 55 (d) 66
  14. 14.A shopkeeper buys a toy for ₹920 and sells it for ₹1058. What is his profit percent? (a) 20% (b) 15% (c) 16% (d) 10%
  15. 15.1/3 + 1/3 = ? (a) 1/3 (b) 1 (c) 4/3 (d) 2/3
  16. 16.If 8 December is a Sunday, what day of the week is 23 December? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
  17. 17.A shopkeeper buys a toy for ₹200 and sells it for ₹300. What is his profit percent? (a) 45% (b) 50% (c) 51% (d) 55%
  18. 18.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 4 : ? (a) 16 (b) 8 (c) 20 (d) 6
  19. 19.If 6x − 70 = 2, what is x? (a) 11 (b) 72 (c) 12 (d) 13
  20. 20.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 12 cm (c) 90 cm (d) 7 cm
  21. 21.In how many years will ₹6500 earn ₹1365 simple interest at 7% per year? (a) 4 years (b) 2 years (c) 3 years (d) 6 years
  22. 22.What is the units digit of 8^27? (a) 6 (b) 8 (c) 4 (d) 2
  23. 23.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 29 (b) 91 (c) 44 (d) 30
  24. 24.2.52 + 4.5 = ? (a) 7.12 (b) 6.92 (c) 2.97 (d) 7.02
  25. 25.₹45 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹25 (b) ₹20 (c) ₹30 (d) ₹5
  26. 26.What is the average of all the whole numbers from 24 to 34? (a) 10 (b) 5 (c) 29 (d) 30
  27. 27.A shopkeeper buys a toy for ₹260 and sells it for ₹273. What is his profit percent? (a) 5% (b) 10% (c) 13% (d) 6%
  28. 28.Today is Friday. What day of the week will it be after 69 days? (a) Wednesday (b) Saturday (c) Friday (d) Thursday
  29. 29.Which is the smallest: 0.42, 0.057, 0.315, 0.4? (a) 0.42 (b) 0.057 (c) 0.315 (d) 0.4
  30. 30.The simple interest on ₹3500 for 3 years is ₹735. What is the rate per year? (a) 21% (b) 6% (c) 8% (d) 7%
  31. 31.What is the average of all the whole numbers from 40 to 68? (a) 14 (b) 55 (c) 54 (d) 28
  32. 32.What is the units digit of 8^55? (a) 8 (b) 2 (c) 6 (d) 4
  33. 33.Which is the greatest: 0.247, 0.36, 0.3, 0.063? (a) 0.247 (b) 0.36 (c) 0.3 (d) 0.063
  34. 34.Every pair follows the same rule: 1 : 1, 5 : 125, 6 : 216. What is 4 : ? (a) 64 (b) 4 (c) 65 (d) 34
  35. 35.₹138 is shared between two friends in the ratio 1 : 2. How much is the bigger share? (a) ₹46 (b) ₹69 (c) ₹138 (d) ₹92
  36. 36.What is the remainder when 183 is divided by 5? (a) 2 (b) 4 (c) 1 (d) 3
  37. 37.What is the remainder when 521 is divided by 12? (a) 5 (b) 6 (c) 4 (d) 7
  38. 38.What is the units digit of 7^52? (a) 3 (b) 7 (c) 9 (d) 1
  39. 39.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 3 cm (c) 4 cm (d) 2 cm
  40. 40.Every pair follows the same rule: 2 : 12, 5 : 30, 7 : 42. What is 3 : ? (a) 13 (b) 18 (c) 17 (d) 19

Answer key

  1. 8/11
  2. 13.03
  3. 13
  4. 17
  5. 11
  6. 8.71
  7. 25
  8. 2/5
  9. ₹225
  10. ₹1725
  11. Thursday
  12. 0.032
  13. 55
  14. 15%
  15. 2/3
  16. Monday
  17. 50%
  18. 16
  19. 12
  20. 6 cm
  21. 3 years
  22. 2
  23. 29
  24. 7.02
  25. ₹25
  26. 29
  27. 5%
  28. Thursday
  29. 0.057
  30. 7%
  31. 54
  32. 2
  33. 0.36
  34. 64
  35. ₹92
  36. 3
  37. 5
  38. 1
  39. 2 cm
  40. 18

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