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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 749 · 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 10 January is a Monday, what day of the week is 18 January? (a) Monday (b) Tuesday (c) Thursday (d) Wednesday
  2. 2.Which is the smallest: 0.052, 0.247, 0.3, 0.33? (a) 0.052 (b) 0.247 (c) 0.3 (d) 0.33
  3. 3.Which fraction is greater: 4/11 or 2/3? (a) 4/11 (b) They are equal (c) 2/3
  4. 4.What is the average of 65, 88, 69 and 74? (a) 73 (b) 74 (c) 75 (d) 76
  5. 5.In how many years will ₹5000 earn ₹1750 simple interest at 7% per year? (a) 5 years (b) 10 years (c) 6 years (d) 4 years
  6. 6.Which fraction is greater: 3/10 or 2/7? (a) They are equal (b) 3/10 (c) 2/7
  7. 7.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 135 min (c) 45 min (d) 24 min
  8. 8.₹480 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹240 (b) ₹280 (c) ₹40 (d) ₹200
  9. 9.What is the simple interest on ₹8500 at 2% per year for 4 years? (a) ₹9180 (b) ₹680 (c) ₹850 (d) ₹170
  10. 10.What is the value of the digit 3 in 34.586? (a) 30 (b) 3 (c) 0.3 (d) 0.03
  11. 11.A bag marked ₹1700 is sold at a 20% discount. What is its selling price? (a) ₹340 (b) ₹1360 (c) ₹2040 (d) ₹1680
  12. 12.Every pair follows the same rule: 2 : 16, 6 : 36, 7 : 41. What is 3 : ? (a) 21 (b) 17 (c) 24 (d) 22
  13. 13.Every pair follows the same rule: 2 : 1, 4 : 13, 5 : 22. What is 6 : ? (a) 32 (b) 34 (c) 33 (d) 31
  14. 14.Two bells ring every 12 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 4 min (b) 40 min (c) 336 min (d) 84 min
  15. 15.In how many years will ₹4500 earn ₹1575 simple interest at 7% per year? (a) 6 years (b) 5 years (c) 10 years (d) 4 years
  16. 16.If 10 October is a Monday, what day of the week is 18 October? (a) Monday (b) Thursday (c) Tuesday (d) Wednesday
  17. 17.What is the remainder when 284 is divided by 10? (a) 6 (b) 4 (c) 3 (d) 5
  18. 18.What is 15% of 740? (a) 1110 (b) 629 (c) 222 (d) 111
  19. 19.What is 15% of 340? (a) 289 (b) 510 (c) 51 (d) 102
  20. 20.If 2 notebooks cost ₹28, how much do 3 notebooks cost? (a) ₹56 (b) ₹84 (c) ₹29 (d) ₹42
  21. 21.Which fraction is greater: 1/8 or 7/9? (a) 1/8 (b) They are equal (c) 7/9
  22. 22.₹56 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹28 (b) ₹56 (c) ₹7 (d) ₹49
  23. 23.What is the smallest number of sweets that can be shared equally among 24 children or among 30 children, with none left over? (a) 240 (b) 54 (c) 720 (d) 120
  24. 24.If x/3 + 7 = 9, what is x? (a) 6 (b) 2 (c) 48 (d) 20
  25. 25.Every pair follows the same rule: 2 : 6, 3 : 9, 8 : 24. What is 5 : ? (a) 15 (b) 9 (c) 14 (d) 16
  26. 26.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 54 (c) 70 (d) 112
  27. 27.Every pair follows the same rule: 3 : 11, 4 : 18, 8 : 66. What is 9 : ? (a) 78 (b) 17 (c) 84 (d) 83
  28. 28.If x/3 + 9 = 14, what is x? (a) 5 (b) 15 (c) 69 (d) 33
  29. 29.₹130 is shared between two friends in the ratio 1 : 4. How much is the bigger share? (a) ₹130 (b) ₹26 (c) ₹65 (d) ₹104
  30. 30.Two bells ring every 10 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 70 min (b) 45 min (c) 5 min (d) 350 min
  31. 31.If 9x + 12 = 39, what is x? (a) 3 (b) 2 (c) 27 (d) 4
  32. 32.If 3 pens cost ₹72, how much do 5 pens cost? (a) ₹74 (b) ₹120 (c) ₹360 (d) ₹144
  33. 33.₹9500 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹760 (b) ₹10260 (c) ₹9690 (d) ₹10450
  34. 34.What is the simple interest on ₹8500 at 4% per year for 5 years? (a) ₹10200 (b) ₹2040 (c) ₹340 (d) ₹1700
  35. 35.2/4 + 1/4 = ? (a) 1 (b) 3/4 (c) 3/8 (d) 1/2
  36. 36.9.08 + 4.3 = ? (a) 9.51 (b) 13.28 (c) 13.48 (d) 13.38
  37. 37.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 25 (b) 11 (c) 12 (d) 52
  38. 38.Which is the smallest: 0.7, 0.022, 0.72, 0.661? (a) 0.7 (b) 0.022 (c) 0.72 (d) 0.661
  39. 39.What is 15% of 600? (a) 90 (b) 510 (c) 180 (d) 900
  40. 40.In how many years will ₹7500 earn ₹1500 simple interest at 4% per year? (a) 10 years (b) 6 years (c) 4 years (d) 5 years

Answer key

  1. Tuesday
  2. 0.052
  3. 2/3
  4. 74
  5. 5 years
  6. 3/10
  7. 45 min
  8. ₹280
  9. ₹680
  10. 30
  11. ₹1360
  12. 21
  13. 33
  14. 84 min
  15. 5 years
  16. Tuesday
  17. 4
  18. 111
  19. 51
  20. ₹42
  21. 7/9
  22. ₹49
  23. 120
  24. 6
  25. 15
  26. 112
  27. 83
  28. 15
  29. ₹104
  30. 70 min
  31. 3
  32. ₹120
  33. ₹10260
  34. ₹1700
  35. 3/4
  36. 13.38
  37. 11
  38. 0.022
  39. 90
  40. 5 years

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