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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 951 · 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.Every pair follows the same rule: 2 : 4, 5 : 25, 9 : 81. What is 8 : ? (a) 67 (b) 10 (c) 64 (d) 16
  2. 2.Every pair follows the same rule: 4 : 26, 5 : 31, 9 : 51. What is 6 : ? (a) 28 (b) 37 (c) 35 (d) 36
  3. 3.Every pair follows the same rule: 3 : 9, 4 : 16, 5 : 25. What is 6 : ? (a) 18 (b) 36 (c) 34 (d) 12
  4. 4.Every pair follows the same rule: 2 : 4, 6 : 36, 8 : 64. What is 7 : ? (a) 14 (b) 9 (c) 50 (d) 49
  5. 5.Today is Tuesday. What day of the week will it be after 94 days? (a) Thursday (b) Sunday (c) Friday (d) Saturday
  6. 6.Two bells ring every 9 minutes and every 12 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 36 min (c) 21 min (d) 108 min
  7. 7.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 15 (b) 23 (c) 25 (d) 13
  8. 8.What is the value of the digit 2 in 81.492? (a) 0.2 (b) 2 (c) 0.02 (d) 0.002
  9. 9.₹1000 is invested at 6% per year simple interest. What is the amount after 4 years? (a) ₹1060 (b) ₹240 (c) ₹1300 (d) ₹1240
  10. 10.What is the remainder when 761 is divided by 11? (a) 9 (b) 1 (c) 2 (d) 3
  11. 11.What is the smallest number you must add to 115 to make it divisible by 9? (a) 2 (b) 7 (c) 3 (d) 1
  12. 12.Which fraction is greater: 1/5 or 1/4? (a) 1/5 (b) They are equal (c) 1/4
  13. 13.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 5% (b) 35% (c) 10% (d) 6%
  14. 14.What is the simple interest on ₹10000 at 2% per year for 2 years? (a) ₹600 (b) ₹10400 (c) ₹200 (d) ₹400
  15. 15.Every pair follows the same rule: 2 : 3, 6 : 11, 8 : 15. What is 9 : ? (a) 17 (b) 16 (c) 10 (d) 18
  16. 16.Every pair follows the same rule: 5 : 25, 6 : 36, 9 : 81. What is 4 : ? (a) 24 (b) 16 (c) 20 (d) 6
  17. 17.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) 80 min (b) 2 min (c) 18 min (d) 40 min
  18. 18.The simple interest on ₹10000 for 4 years is ₹3600. What is the rate per year? (a) 10% (b) 36% (c) 9% (d) 8%
  19. 19.Which fraction is greater: 1/6 or 1/4? (a) They are equal (b) 1/4 (c) 1/6
  20. 20.Two bells ring every 10 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 25 min (b) 5 min (c) 30 min (d) 150 min
  21. 21.The simple interest on ₹1500 for 3 years is ₹450. What is the rate per year? (a) 11% (b) 9% (c) 30% (d) 10%
  22. 22.What is the average of all the whole numbers from 28 to 58? (a) 43 (b) 44 (c) 15 (d) 30
  23. 23.What is the average of 72, 69, 73, 58 and 28? (a) 59 (b) 61 (c) 60 (d) 75
  24. 24.4/5 + 4/6 = ? (a) 43/30 (b) 8/11 (c) 3/2 (d) 22/15
  25. 25.If x/3 + 6 = 15, what is x? (a) 9 (b) 63 (c) 39 (d) 27
  26. 26.5 workers can build a wall in 12 days. How many days will 6 workers take, working at the same speed? (a) 13 days (b) 10 days (c) 9 days (d) 11 days
  27. 27.What is the value of the digit 1 in 13.497? (a) 1 (b) 0.01 (c) 0.1 (d) 10
  28. 28.What is the units digit of 4^44? (a) 4 (b) 7 (c) 5 (d) 6
  29. 29.If 31 May is a Monday, what day of the week is 15 June? (a) Wednesday (b) Tuesday (c) Monday (d) Thursday
  30. 30.Which is the greatest: 0.047, 0.123, 0.2, 0.22? (a) 0.047 (b) 0.123 (c) 0.2 (d) 0.22
  31. 31.If 19 July is a Wednesday, what day of the week is 6 August? (a) Tuesday (b) Saturday (c) Sunday (d) Monday
  32. 32.Today is Sunday. What day of the week will it be after 61 days? (a) Sunday (b) Saturday (c) Friday (d) Thursday
  33. 33.3/4 + 1/4 = ? (a) 5/4 (b) 1/2 (c) 1 (d) 3/4
  34. 34.What is the remainder when 478 is divided by 9? (a) 8 (b) 1 (c) 0 (d) 2
  35. 35.4 workers can build a wall in 11 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 22 days (c) 9 days (d) 23 days
  36. 36.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 5 (b) 14 (c) 27 (d) 18
  37. 37.7.88 + 1.2 = ? (a) 9.08 (b) 8 (c) 8.98 (d) 9.18
  38. 38.1/2 + 1/5 = ? (a) 2/7 (b) 4/5 (c) 7/10 (d) 3/5
  39. 39.Two ribbons are 56 cm and 64 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 4 cm (b) 56 cm (c) 8 cm (d) 448 cm
  40. 40.If 8 pens cost ₹136, how much do 11 pens cost? (a) ₹204 (b) ₹1496 (c) ₹187 (d) ₹139

Answer key

  1. 64
  2. 36
  3. 36
  4. 49
  5. Friday
  6. 36 min
  7. 25
  8. 0.002
  9. ₹1240
  10. 2
  11. 2
  12. 1/4
  13. 5%
  14. ₹400
  15. 17
  16. 16
  17. 40 min
  18. 9%
  19. 1/4
  20. 30 min
  21. 10%
  22. 43
  23. 60
  24. 22/15
  25. 27
  26. 10 days
  27. 10
  28. 6
  29. Tuesday
  30. 0.22
  31. Sunday
  32. Friday
  33. 1
  34. 1
  35. 22 days
  36. 18
  37. 9.08
  38. 7/10
  39. 8 cm
  40. ₹187

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