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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 214 · 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 smallest number of sweets that can be shared equally among 12 children or among 20 children, with none left over? (a) 60 (b) 240 (c) 120 (d) 32
  2. 2.If 12 October is a Saturday, what day of the week is 20 October? (a) Saturday (b) Sunday (c) Monday (d) Tuesday
  3. 3.₹2000 is invested at 9% per year simple interest. What is the amount after 5 years? (a) ₹2900 (b) ₹900 (c) ₹3080 (d) ₹2180
  4. 4.What is the average of 23, 32, 31, 15, 37 and 42? (a) 36 (b) 30 (c) 29 (d) 31
  5. 5.Two bells ring every 8 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 40 min (b) 160 min (c) 28 min (d) 4 min
  6. 6.1/3 + 1/7 = ? (a) 11/21 (b) 1/5 (c) 10/21 (d) 3/7
  7. 7.In how many years will ₹9000 earn ₹4320 simple interest at 12% per year? (a) 5 years (b) 4 years (c) 3 years (d) 8 years
  8. 8.If x/3 + 11 = 22, what is x? (a) 11 (b) 99 (c) 55 (d) 33
  9. 9.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 40 cm (b) 50 cm (c) 150 cm (d) 25 cm
  10. 10.What is the remainder when 839 is divided by 12? (a) 9 (b) 1 (c) 10 (d) 11
  11. 11.Every pair follows the same rule: 2 : 10, 6 : 30, 9 : 45. What is 8 : ? (a) 39 (b) 16 (c) 41 (d) 40
  12. 12.What is the smallest number of sweets that can be shared equally among 12 children or among 14 children, with none left over? (a) 85 (b) 84 (c) 168 (d) 26
  13. 13.What is the smallest number of sweets that can be shared equally among 4 children or among 6 children, with none left over? (a) 12 (b) 10 (c) 13 (d) 24
  14. 14.What is the average of 61, 50, 51, 45 and 63? (a) 56 (b) 53 (c) 54 (d) 55
  15. 15.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  16. 16.Every pair follows the same rule: 4 : 17, 5 : 26, 9 : 82. What is 7 : ? (a) 50 (b) 51 (c) 20 (d) 54
  17. 17.What is the value of the digit 2 in 56.241? (a) 0.002 (b) 0.2 (c) 2 (d) 0.02
  18. 18.5.71 + 7.8 = ? (a) 13.51 (b) 13.61 (c) 13.41 (d) 6.49
  19. 19.If 7x + 2 = 4x + 14, what is x? (a) 5 (b) 4 (c) 3 (d) 6
  20. 20.If 4x − 31 = 1, what is x? (a) 9 (b) 7 (c) 8 (d) 32
  21. 21.Which is the smallest: 0.239, 0.042, 0.3, 0.31? (a) 0.239 (b) 0.042 (c) 0.3 (d) 0.31
  22. 22.What is the average of all the whole numbers from 13 to 51? (a) 19 (b) 38 (c) 32 (d) 33
  23. 23.Two bells ring every 18 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 378 min (b) 3 min (c) 39 min (d) 126 min
  24. 24.What is 7/9 of 108? (a) 84 (b) 12 (c) 96 (d) 24
  25. 25.If x/6 + 8 = 10, what is x? (a) 108 (b) 2 (c) 12 (d) 52
  26. 26.Every pair follows the same rule: 2 : 15, 7 : 30, 8 : 33. What is 3 : ? (a) 17 (b) 18 (c) 16 (d) 19
  27. 27.In how many years will ₹7500 earn ₹1800 simple interest at 12% per year? (a) 3 years (b) 4 years (c) 2 years (d) 1 year
  28. 28.What is 2/3 of 24? (a) 8 (b) 16 (c) 24 (d) 17
  29. 29.Two bells ring every 18 minutes and every 24 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 432 min (c) 42 min (d) 72 min
  30. 30.Which fraction is greater: 2/3 or 4/5? (a) They are equal (b) 2/3 (c) 4/5
  31. 31.Which of these numbers is divisible by 11? (a) 3552 (b) 3556 (c) 3553 (d) 3573
  32. 32.If 9 kites cost ₹99, how much do 8 kites cost? (a) ₹792 (b) ₹98 (c) ₹88 (d) ₹99
  33. 33.What is the smallest number you must add to 151 to make it divisible by 6? (a) 4 (b) 1 (c) 5 (d) 3
  34. 34.Every pair follows the same rule: 2 : 2, 4 : 6, 6 : 10. What is 3 : ? (a) 6 (b) 3 (c) 5 (d) 4
  35. 35.If 9x + 19 = 109, what is x? (a) 9 (b) 90 (c) 10 (d) 11
  36. 36.₹180 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹15 (b) ₹75 (c) ₹105 (d) ₹90
  37. 37.A shopkeeper buys a toy for ₹140 and sells it for ₹168. What is his profit percent? (a) 28% (b) 25% (c) 20% (d) 15%
  38. 38.What is the units digit of 4^52? (a) 4 (b) 5 (c) 6 (d) 7
  39. 39.What is the simple interest on ₹2500 at 7% per year for 2 years? (a) ₹175 (b) ₹525 (c) ₹350 (d) ₹2850
  40. 40.₹315 is shared between two friends in the ratio 3 : 4. How much is the bigger share? (a) ₹45 (b) ₹225 (c) ₹135 (d) ₹180

Answer key

  1. 60
  2. Sunday
  3. ₹2900
  4. 30
  5. 40 min
  6. 10/21
  7. 4 years
  8. 33
  9. 50 cm
  10. 11
  11. 40
  12. 84
  13. 12
  14. 54
  15. 169 sq cm
  16. 50
  17. 0.2
  18. 13.51
  19. 4
  20. 8
  21. 0.042
  22. 32
  23. 126 min
  24. 84
  25. 12
  26. 18
  27. 2 years
  28. 16
  29. 72 min
  30. 4/5
  31. 3553
  32. ₹88
  33. 5
  34. 4
  35. 10
  36. ₹105
  37. 20%
  38. 6
  39. ₹350
  40. ₹180

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