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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 525 · 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.What is the units digit of 9^38? (a) 0 (b) 2 (c) 1 (d) 9
  2. 2.What is the units digit of 7^33? (a) 7 (b) 3 (c) 9 (d) 1
  3. 3.A shopkeeper buys a toy for ₹580 and sells it for ₹609. What is his profit percent? (a) 5% (b) 6% (c) 29% (d) 10%
  4. 4.What is the smallest number of sweets that can be shared equally among 25 children or among 30 children, with none left over? (a) 55 (b) 750 (c) 300 (d) 150
  5. 5.What is the smallest number you must add to 295 to make it divisible by 4? (a) 3 (b) 2 (c) 1
  6. 6.Which fraction is greater: 3/4 or 6/7? (a) 6/7 (b) They are equal (c) 3/4
  7. 7.If x/2 + 4 = 12, what is x? (a) 20 (b) 16 (c) 32 (d) 8
  8. 8.What is 3/5 of 45? (a) 36 (b) 27 (c) 18 (d) 9
  9. 9.Two bells ring every 10 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 140 min (b) 2 min (c) 24 min (d) 70 min
  10. 10.In how many years will ₹1000 earn ₹180 simple interest at 9% per year? (a) 3 years (b) 1 year (c) 2 years (d) 4 years
  11. 11.What is the average of 33, 35, 46 and 50? (a) 42 (b) 40 (c) 41 (d) 43
  12. 12.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 91 (b) 59 (c) 63 (d) 36
  13. 13.What is the units digit of 3^14? (a) 3 (b) 7 (c) 1 (d) 9
  14. 14.6 workers can build a wall in 12 days. How many days will 3 workers take, working at the same speed? (a) 6 days (b) 24 days (c) 9 days (d) 15 days
  15. 15.Every pair follows the same rule: 2 : 4, 3 : 9, 4 : 16. What is 7 : ? (a) 37 (b) 49 (c) 14 (d) 9
  16. 16.2/9 + 1/3 = ? (a) 1/4 (b) 4/9 (c) 5/9 (d) 2/3
  17. 17.Which is the smallest: 0.2, 0.084, 0.185, 0.23? (a) 0.2 (b) 0.084 (c) 0.185 (d) 0.23
  18. 18.What is the smallest number of sweets that can be shared equally among 12 children or among 42 children, with none left over? (a) 84 (b) 54 (c) 504 (d) 168
  19. 19.₹6500 is invested at 12% per year simple interest. What is the amount after 3 years? (a) ₹2340 (b) ₹9620 (c) ₹8840 (d) ₹7280
  20. 20.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 109 (b) 45 (c) 37 (d) 80
  21. 21.1/3 + 2/6 = ? (a) 1/2 (b) 5/6 (c) 1/3 (d) 2/3
  22. 22.Which fraction is greater: 3/4 or 1/3? (a) 3/4 (b) 1/3 (c) They are equal
  23. 23.Which of these numbers is divisible by 9? (a) 5734 (b) 5719 (c) 5724 (d) 5730
  24. 24.A shopkeeper buys a toy for ₹860 and sells it for ₹774. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 86%
  25. 25.In how many years will ₹3500 earn ₹840 simple interest at 12% per year? (a) 2 years (b) 4 years (c) 1 year (d) 3 years
  26. 26.A shopkeeper buys a toy for ₹660 and sells it for ₹693. What is his profit percent? (a) 6% (b) 33% (c) 10% (d) 5%
  27. 27.Which fraction is greater: 2/9 or 1/11? (a) 2/9 (b) 1/11 (c) They are equal
  28. 28.Which is the greatest: 0.3, 0.043, 0.34, 0.231? (a) 0.3 (b) 0.043 (c) 0.34 (d) 0.231
  29. 29.Every pair follows the same rule: 2 : 4, 3 : 6, 6 : 12. What is 4 : ? (a) 8 (b) 6 (c) 7 (d) 9
  30. 30.Every pair follows the same rule: 5 : 28, 7 : 52, 8 : 67. What is 2 : ? (a) 8 (b) 25 (c) 6 (d) 7
  31. 31.3.91 + 8.1 = ? (a) 12.11 (b) 4.72 (c) 12.01 (d) 11.91
  32. 32.Today is Monday. What day of the week will it be after 62 days? (a) Monday (b) Sunday (c) Saturday (d) Tuesday
  33. 33.If 2x + 14 = 34, what is x? (a) 10 (b) 11 (c) 24 (d) 20
  34. 34.If 5x + 5 = 15, what is x? (a) 10 (b) 3 (c) 2 (d) 4
  35. 35.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) 45 min (b) 350 min (c) 70 min (d) 5 min
  36. 36.What is the units digit of 8^19? (a) 8 (b) 4 (c) 6 (d) 2
  37. 37.If 19 October is a Wednesday, what day of the week is 20 November? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  38. 38.4.84 + 4.8 = ? (a) 9.74 (b) 5.32 (c) 9.54 (d) 9.64
  39. 39.What is the value of the digit 8 in 82.946? (a) 80 (b) 0.8 (c) 0.08 (d) 8
  40. 40.What is 2/3 of 9? (a) 9 (b) 3 (c) 6 (d) 7

Answer key

  1. 1
  2. 7
  3. 5%
  4. 150
  5. 1
  6. 6/7
  7. 16
  8. 27
  9. 70 min
  10. 2 years
  11. 41
  12. 91
  13. 9
  14. 24 days
  15. 49
  16. 5/9
  17. 0.084
  18. 84
  19. ₹8840
  20. 109
  21. 2/3
  22. 3/4
  23. 5724
  24. 10%
  25. 2 years
  26. 5%
  27. 2/9
  28. 0.34
  29. 8
  30. 7
  31. 12.01
  32. Sunday
  33. 10
  34. 2
  35. 70 min
  36. 2
  37. Sunday
  38. 9.64
  39. 80
  40. 6

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