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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 741 · 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.Which is the greatest: 0.696, 0.75, 0.043, 0.7? (a) 0.696 (b) 0.75 (c) 0.043 (d) 0.7
  2. 2.What is 1/8 of 96? (a) 24 (b) 13 (c) 84 (d) 12
  3. 3.If 7 notebooks cost ₹140, how much do 8 notebooks cost? (a) ₹1120 (b) ₹180 (c) ₹160 (d) ₹141
  4. 4.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 48 cm (c) 119 cm (d) 24 cm
  5. 5.1/4 + 3/4 = ? (a) 1 (b) 3/4 (c) 1/2 (d) 5/4
  6. 6.What is the average of 40, 61, 50 and 65? (a) 54 (b) 55 (c) 72 (d) 53
  7. 7.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  8. 8.What is the average of 70, 54, 73, 65 and 43? (a) 63 (b) 62 (c) 61 (d) 60
  9. 9.Which is the smallest: 0.36, 0.3, 0.279, 0.072? (a) 0.36 (b) 0.3 (c) 0.279 (d) 0.072
  10. 10.₹3500 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹3710 (b) ₹3780 (c) ₹210 (d) ₹3570
  11. 11.What is 5/7 of 14? (a) 4 (b) 12 (c) 10 (d) 2
  12. 12.What is the smallest number of sweets that can be shared equally among 20 children or among 25 children, with none left over? (a) 500 (b) 200 (c) 100 (d) 45
  13. 13.What is the average of all the whole numbers from 47 to 75? (a) 28 (b) 61 (c) 14 (d) 62
  14. 14.Every pair follows the same rule: 6 : 35, 7 : 48, 8 : 63. What is 5 : ? (a) 34 (b) 18 (c) 24 (d) 25
  15. 15.₹7500 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹600 (b) ₹8100 (c) ₹7650 (d) ₹8250
  16. 16.If x/4 + 3 = 15, what is x? (a) 57 (b) 48 (c) 12 (d) 72
  17. 17.₹1000 is invested at 2% per year simple interest. What is the amount after 4 years? (a) ₹80 (b) ₹1020 (c) ₹1100 (d) ₹1080
  18. 18.4 workers can build a wall in 14 days. How many days will 7 workers take, working at the same speed? (a) 9 days (b) 8 days (c) 11 days (d) 17 days
  19. 19.What is the remainder when 47 is divided by 4? (a) 3 (b) 2 (c) 0 (d) 1
  20. 20.Today is Monday. What day of the week will it be after 37 days? (a) Tuesday (b) Friday (c) Wednesday (d) Thursday
  21. 21.Which of these numbers is divisible by 9? (a) 5715 (b) 5709 (c) 5730 (d) 5720
  22. 22.Which fraction is greater: 1/6 or 7/9? (a) They are equal (b) 1/6 (c) 7/9
  23. 23.Which is the greatest: 0.83, 0.8, 0.056, 0.781? (a) 0.83 (b) 0.8 (c) 0.056 (d) 0.781
  24. 24.Today is Monday. What day of the week will it be after 97 days? (a) Saturday (b) Sunday (c) Tuesday (d) Monday
  25. 25.Every pair follows the same rule: 4 : 20, 6 : 30, 8 : 40. What is 9 : ? (a) 45 (b) 44 (c) 25 (d) 46
  26. 26.Two ribbons are 50 cm and 80 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 5 cm (b) 30 cm (c) 50 cm (d) 10 cm
  27. 27.What is the remainder when 417 is divided by 9? (a) 2 (b) 3 (c) 6 (d) 4
  28. 28.Two bells ring every 15 minutes and every 35 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 105 min (b) 50 min (c) 5 min (d) 525 min
  29. 29.What is the value of the digit 2 in 29.465? (a) 2 (b) 0.02 (c) 20 (d) 0.2
  30. 30.What is the average of 7, 37, 23 and 21? (a) 22 (b) 24 (c) 21 (d) 23
  31. 31.If 2 notebooks cost ₹40, how much do 5 notebooks cost? (a) ₹43 (b) ₹120 (c) ₹200 (d) ₹100
  32. 32.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 8 (b) 21 (c) 44 (d) 7
  33. 33.If 4x + 12 = 52, what is x? (a) 40 (b) 11 (c) 16 (d) 10
  34. 34.Two ribbons are 80 cm and 90 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 80 cm (b) 720 cm (c) 5 cm (d) 10 cm
  35. 35.Every pair follows the same rule: 2 : 6, 4 : 18, 7 : 51. What is 9 : ? (a) 13 (b) 73 (c) 83 (d) 27
  36. 36.5.49 + 6.9 = ? (a) 6.18 (b) 12.39 (c) 12.49 (d) 12.29
  37. 37.What is the smallest number you must add to 161 to make it divisible by 5? (a) 3 (b) 2 (c) 1 (d) 4
  38. 38.If 1 January is a Friday, what day of the week is 13 January? (a) Tuesday (b) Thursday (c) Wednesday (d) Friday
  39. 39.What is the remainder when 105 is divided by 4? (a) 2 (b) 3 (c) 1 (d) 0
  40. 40.If 17 April is a Friday, what day of the week is 15 May? (a) Thursday (b) Sunday (c) Friday (d) Saturday

Answer key

  1. 0.75
  2. 12
  3. ₹160
  4. 48 cm
  5. 1
  6. 54
  7. 40%
  8. 61
  9. 0.072
  10. ₹3710
  11. 10
  12. 100
  13. 61
  14. 24
  15. ₹8100
  16. 48
  17. ₹1080
  18. 8 days
  19. 3
  20. Wednesday
  21. 5715
  22. 7/9
  23. 0.83
  24. Sunday
  25. 45
  26. 10 cm
  27. 3
  28. 105 min
  29. 20
  30. 22
  31. ₹100
  32. 7
  33. 10
  34. 10 cm
  35. 83
  36. 12.39
  37. 4
  38. Wednesday
  39. 1
  40. Friday

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