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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 47 · 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.Two bells ring every 16 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 448 min (b) 44 min (c) 4 min (d) 112 min
  2. 2.In how many years will ₹10000 earn ₹5000 simple interest at 10% per year? (a) 4 years (b) 10 years (c) 6 years (d) 5 years
  3. 3.If 23 April is a Sunday, what day of the week is 7 May? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
  4. 4.Which of these numbers is divisible by 8? (a) 5137 (b) 5144 (c) 5145 (d) 5153
  5. 5.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 8 (b) 42 (c) 69 (d) 35
  6. 6.What is 2/3 of 33? (a) 11 (b) 33 (c) 23 (d) 22
  7. 7.Two bells ring every 15 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 300 min (b) 60 min (c) 35 min (d) 5 min
  8. 8.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 58 (c) 21 (d) 20
  9. 9.A shopkeeper buys a toy for ₹240 and sells it for ₹228. What is his loss percent? (a) 12% (b) 5% (c) 6% (d) 10%
  10. 10.If x/5 + 15 = 19, what is x? (a) 80 (b) 170 (c) 20 (d) 4
  11. 11.Two bells ring every 10 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 35 min (b) 50 min (c) 5 min (d) 250 min
  12. 12.Today is Tuesday. What day of the week will it be after 88 days? (a) Saturday (b) Monday (c) Sunday (d) Friday
  13. 13.Today is Monday. What day of the week will it be after 87 days? (a) Saturday (b) Friday (c) Wednesday (d) Thursday
  14. 14.₹7500 is invested at 4% per year simple interest. What is the amount after 4 years? (a) ₹9000 (b) ₹1200 (c) ₹8700 (d) ₹7800
  15. 15.1/3 + 1/2 = ? (a) 2/5 (b) 5/6 (c) 2/3 (d) 1
  16. 16.What is the smallest number you must add to 884 to make it divisible by 12? (a) 5 (b) 3 (c) 8 (d) 4
  17. 17.In how many years will ₹1500 earn ₹375 simple interest at 5% per year? (a) 5 years (b) 4 years (c) 10 years (d) 6 years
  18. 18.A shopkeeper buys a toy for ₹200 and sells it for ₹300. What is his profit percent? (a) 55% (b) 50% (c) 51% (d) 45%
  19. 19.Two bells ring every 20 minutes and every 25 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 5 min (b) 45 min (c) 100 min (d) 500 min
  20. 20.What is the simple interest on ₹4000 at 10% per year for 4 years? (a) ₹5600 (b) ₹1600 (c) ₹2000 (d) ₹400
  21. 21.2.92 + 7.1 = ? (a) 10.12 (b) 10.02 (c) 9.92 (d) 3.63
  22. 22.3/6 + 4/5 = ? (a) 19/15 (b) 13/10 (c) 4/3 (d) 7/11
  23. 23.A shopkeeper buys a toy for ₹640 and sells it for ₹704. What is his profit percent? (a) 64% (b) 10% (c) 5% (d) 15%
  24. 24.What is 25% of 420? (a) 1050 (b) 210 (c) 105 (d) 315
  25. 25.Which is the smallest: 0.42, 0.373, 0.4, 0.046? (a) 0.42 (b) 0.373 (c) 0.4 (d) 0.046
  26. 26.1.55 + 2.8 = ? (a) 1.83 (b) 4.25 (c) 4.35 (d) 4.45
  27. 27.What is the simple interest on ₹3000 at 5% per year for 5 years? (a) ₹3750 (b) ₹900 (c) ₹750 (d) ₹150
  28. 28.9.15 + 5.1 = ? (a) 14.15 (b) 14.35 (c) 14.25 (d) 9.66
  29. 29.What is the remainder when 536 is divided by 7? (a) 5 (b) 3 (c) 6 (d) 4
  30. 30.Every pair follows the same rule: 3 : 18, 6 : 36, 7 : 42. What is 2 : ? (a) 12 (b) 17 (c) 11 (d) 13
  31. 31.What is the smallest number you must add to 161 to make it divisible by 3? (a) 2 (b) 1
  32. 32.What is the average of all the whole numbers from 20 to 52? (a) 37 (b) 16 (c) 32 (d) 36
  33. 33.What is the units digit of 7^43? (a) 9 (b) 3 (c) 1 (d) 7
  34. 34.Every pair follows the same rule: 4 : 16, 7 : 19, 8 : 20. What is 6 : ? (a) 24 (b) 18 (c) 19 (d) 17
  35. 35.What is the average of 69, 58, 62 and 27? (a) 72 (b) 53 (c) 54 (d) 55
  36. 36.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 49 (b) 102 (c) 22 (d) 21
  37. 37.If 2x + 20 = 50, what is x? (a) 30 (b) 35 (c) 15 (d) 16
  38. 38.Two bells ring every 8 minutes and every 10 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 2 min (c) 80 min (d) 40 min
  39. 39.Every pair follows the same rule: 1 : 1, 3 : 27, 5 : 125. What is 6 : ? (a) 6 (b) 216 (c) 174 (d) 217
  40. 40.If 5x + 14 = 84, what is x? (a) 70 (b) 14 (c) 13 (d) 15

Answer key

  1. 112 min
  2. 5 years
  3. Sunday
  4. 5144
  5. 42
  6. 22
  7. 60 min
  8. 20
  9. 5%
  10. 20
  11. 50 min
  12. Saturday
  13. Thursday
  14. ₹8700
  15. 5/6
  16. 4
  17. 5 years
  18. 50%
  19. 100 min
  20. ₹1600
  21. 10.02
  22. 13/10
  23. 10%
  24. 105
  25. 0.046
  26. 4.35
  27. ₹750
  28. 14.25
  29. 4
  30. 12
  31. 1
  32. 36
  33. 3
  34. 18
  35. 54
  36. 21
  37. 15
  38. 40 min
  39. 216
  40. 14

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