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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 28 · 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.If 7x + 17 = 6x + 24, what is x? (a) 9 (b) 8 (c) 7 (d) 41
  2. 2.If 2 mangoes cost ₹46, how much do 11 mangoes cost? (a) ₹506 (b) ₹55 (c) ₹253 (d) ₹276
  3. 3.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 33 (b) 17 (c) 18 (d) 70
  4. 4.Which fraction is greater: 1/3 or 1/10? (a) They are equal (b) 1/3 (c) 1/10
  5. 5.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 54 min (c) 6 min (d) 504 min
  6. 6.What is the units digit of 9^34? (a) 0 (b) 2 (c) 9 (d) 1
  7. 7.If x/2 + 3 = 15, what is x? (a) 24 (b) 27 (c) 12 (d) 36
  8. 8.What is the average of all the whole numbers from 56 to 72? (a) 8 (b) 16 (c) 64 (d) 65
  9. 9.Every pair follows the same rule: 2 : 8, 4 : 64, 5 : 125. What is 6 : ? (a) 24 (b) 216 (c) 186 (d) 12
  10. 10.Every pair follows the same rule: 6 : 16, 7 : 19, 8 : 22. What is 3 : ? (a) 8 (b) 13 (c) 7 (d) 6
  11. 11.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 50 min (c) 105 min (d) 525 min
  12. 12.What is 3/7 of 28? (a) 12 (b) 4 (c) 13 (d) 16
  13. 13.If 5 August is a Monday, what day of the week is 19 August? (a) Monday (b) Wednesday (c) Sunday (d) Tuesday
  14. 14.If 3 mangoes cost ₹54, how much do 8 mangoes cost? (a) ₹162 (b) ₹432 (c) ₹144 (d) ₹59
  15. 15.Which is the smallest: 0.098, 0.53, 0.463, 0.5? (a) 0.098 (b) 0.53 (c) 0.463 (d) 0.5
  16. 16.Every pair follows the same rule: 3 : 19, 4 : 20, 6 : 22. What is 7 : ? (a) 24 (b) 22 (c) 25 (d) 23
  17. 17.Which fraction is greater: 6/11 or 3/4? (a) 3/4 (b) They are equal (c) 6/11
  18. 18.What is the average of 30, 29, 27 and 22? (a) 27 (b) 26 (c) 28 (d) 36
  19. 19.Every pair follows the same rule: 2 : 4, 3 : 6, 4 : 8. What is 7 : ? (a) 13 (b) 15 (c) 14 (d) 9
  20. 20.2.84 + 6.5 = ? (a) 9.24 (b) 9.44 (c) 9.34 (d) 3.49
  21. 21.If 8 mangoes cost ₹64, how much do 4 mangoes cost? (a) ₹60 (b) ₹256 (c) ₹32 (d) ₹40
  22. 22.What is the value of the digit 4 in 49.136? (a) 4 (b) 40 (c) 0.04 (d) 0.4
  23. 23.In how many years will ₹7500 earn ₹2475 simple interest at 11% per year? (a) 6 years (b) 2 years (c) 3 years (d) 4 years
  24. 24.Today is Friday. What day of the week will it be after 40 days? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
  25. 25.Every pair follows the same rule: 3 : 6, 4 : 13, 8 : 61. What is 5 : ? (a) 25 (b) 10 (c) 22 (d) 8
  26. 26.If 7 pens cost ₹98, how much do 4 pens cost? (a) ₹95 (b) ₹392 (c) ₹56 (d) ₹70
  27. 27.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) 48 min (b) 28 min (c) 4 min (d) 192 min
  28. 28.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 7 (b) 41 (c) 21 (d) 27
  29. 29.What is the average of 43, 46, 27 and 40? (a) 52 (b) 40 (c) 39 (d) 38
  30. 30.Two bells ring every 6 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 42 min (c) 2 min (d) 20 min
  31. 31.Every pair follows the same rule: 2 : 3, 5 : 24, 7 : 48. What is 8 : ? (a) 60 (b) 63 (c) 64 (d) 9
  32. 32.Every pair follows the same rule: 3 : 27, 4 : 64, 6 : 216. What is 5 : ? (a) 29 (b) 125 (c) 140 (d) 45
  33. 33.Today is Monday. What day of the week will it be after 41 days? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  34. 34.Which is the greatest: 0.8, 0.81, 0.745, 0.023? (a) 0.8 (b) 0.81 (c) 0.745 (d) 0.023
  35. 35.A shopkeeper buys a toy for ₹780 and sells it for ₹975. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
  36. 36.What is the value of the digit 1 in 91.528? (a) 0.1 (b) 1 (c) 10 (d) 0.01
  37. 37.4.45 + 7.7 = ? (a) 12.15 (b) 5.22 (c) 12.05 (d) 12.25
  38. 38.What is the average of 65, 54, 58 and 59? (a) 60 (b) 61 (c) 58 (d) 59
  39. 39.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 23 (b) 51 (c) 25 (d) 22
  40. 40.Which fraction is greater: 3/10 or 2/5? (a) 3/10 (b) They are equal (c) 2/5

Answer key

  1. 7
  2. ₹253
  3. 17
  4. 1/3
  5. 84 min
  6. 1
  7. 24
  8. 64
  9. 216
  10. 7
  11. 105 min
  12. 12
  13. Monday
  14. ₹144
  15. 0.098
  16. 23
  17. 3/4
  18. 27
  19. 14
  20. 9.34
  21. ₹32
  22. 40
  23. 3 years
  24. Wednesday
  25. 22
  26. ₹56
  27. 48 min
  28. 27
  29. 39
  30. 42 min
  31. 63
  32. 125
  33. Sunday
  34. 0.81
  35. 25%
  36. 1
  37. 12.15
  38. 59
  39. 22
  40. 2/5

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