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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 545 · 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.If 7x + 11 = 88, what is x? (a) 12 (b) 10 (c) 11 (d) 77
  2. 2.Which is the greatest: 0.045, 0.441, 0.52, 0.5? (a) 0.045 (b) 0.441 (c) 0.52 (d) 0.5
  3. 3.2.82 + 3.6 = ? (a) 6.32 (b) 6.52 (c) 6.42 (d) 3.18
  4. 4.A shopkeeper buys a toy for ₹800 and sells it for ₹720. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 80%
  5. 5.Every pair follows the same rule: 6 : 15, 7 : 18, 8 : 21. What is 4 : ? (a) 13 (b) 8 (c) 10 (d) 9
  6. 6.Which of these numbers is divisible by 8? (a) 431 (b) 419 (c) 424 (d) 436
  7. 7.Every pair follows the same rule: 2 : 4, 3 : 9, 8 : 64. What is 6 : ? (a) 12 (b) 8 (c) 42 (d) 36
  8. 8.1/2 + 2/6 = ? (a) 2/3 (b) 3/8 (c) 5/6 (d) 1
  9. 9.Which of these numbers is divisible by 9? (a) 3575 (b) 3587 (c) 3573 (d) 3572
  10. 10.₹7500 is invested at 2% per year simple interest. What is the amount after 3 years? (a) ₹7650 (b) ₹8100 (c) ₹7950 (d) ₹450
  11. 11.Which fraction is greater: 2/7 or 7/12? (a) 7/12 (b) They are equal (c) 2/7
  12. 12.What is the smallest number of sweets that can be shared equally among 12 children or among 15 children, with none left over? (a) 27 (b) 60 (c) 180 (d) 120
  13. 13.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 45 min (b) 3 min (c) 24 min (d) 135 min
  14. 14.Two bells ring every 12 minutes and every 18 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 216 min (b) 30 min (c) 6 min (d) 36 min
  15. 15.If 8x + 27 = 139, what is x? (a) 15 (b) 112 (c) 13 (d) 14
  16. 16.What is the smallest number you must add to 612 to make it divisible by 8? (a) 3 (b) 5 (c) 4 (d) 6
  17. 17.What is the smallest number you must add to 433 to make it divisible by 9? (a) 8 (b) 1 (c) 7 (d) 6
  18. 18.A shopkeeper buys a toy for ₹920 and sells it for ₹1012. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 92%
  19. 19.What is the average of all the whole numbers from 39 to 45? (a) 6 (b) 43 (c) 3 (d) 42
  20. 20.A shopkeeper buys a toy for ₹380 and sells it for ₹323. What is his loss percent? (a) 10% (b) 20% (c) 57% (d) 15%
  21. 21.What is 2/3 of 24? (a) 24 (b) 17 (c) 8 (d) 16
  22. 22.Two ribbons are 48 cm and 60 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 48 cm (b) 240 cm (c) 12 cm (d) 6 cm
  23. 23.3.67 + 8.2 = ? (a) 4.49 (b) 11.87 (c) 11.77 (d) 11.97
  24. 24.What is the value of the digit 8 in 83.142? (a) 80 (b) 8 (c) 0.08 (d) 0.8
  25. 25.Every pair follows the same rule: 3 : 9, 5 : 15, 9 : 27. What is 8 : ? (a) 24 (b) 14 (c) 25 (d) 23
  26. 26.If 4x − 46 = 10, what is x? (a) 13 (b) 14 (c) 56 (d) 15
  27. 27.What is the average of 16, 12, 32 and 48? (a) 36 (b) 26 (c) 28 (d) 27
  28. 28.What is the value of the digit 8 in 29.831? (a) 0.008 (b) 8 (c) 0.08 (d) 0.8
  29. 29.1.48 + 5.9 = ? (a) 7.38 (b) 7.28 (c) 7.48 (d) 2.07
  30. 30.If x/4 + 11 = 17, what is x? (a) 6 (b) 57 (c) 112 (d) 24
  31. 31.5 workers can build a wall in 15 days. How many days will 3 workers take, working at the same speed? (a) 9 days (b) 13 days (c) 17 days (d) 25 days
  32. 32.Which is the smallest: 0.068, 0.297, 0.38, 0.3? (a) 0.068 (b) 0.297 (c) 0.38 (d) 0.3
  33. 33.₹9000 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹10350 (b) ₹10080 (c) ₹1080 (d) ₹9270
  34. 34.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 21 (b) 16 (c) 31 (d) 6
  35. 35.Today is Monday. What day of the week will it be after 58 days? (a) Friday (b) Tuesday (c) Wednesday (d) Thursday
  36. 36.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 180 sq cm (c) 58 sq cm (d) 200 sq cm
  37. 37.What is the value of the digit 9 in 13.798? (a) 0.09 (b) 0.9 (c) 0.009 (d) 9
  38. 38.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 44 (c) 23 (d) 43
  39. 39.What is the average of 66, 90, 66, 83 and 95? (a) 79 (b) 81 (c) 100 (d) 80
  40. 40.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 29 (b) 18 (c) 28 (d) 56

Answer key

  1. 11
  2. 0.52
  3. 6.42
  4. 10%
  5. 9
  6. 424
  7. 36
  8. 5/6
  9. 3573
  10. ₹7950
  11. 7/12
  12. 60
  13. 45 min
  14. 36 min
  15. 14
  16. 4
  17. 8
  18. 10%
  19. 42
  20. 15%
  21. 16
  22. 12 cm
  23. 11.87
  24. 80
  25. 24
  26. 14
  27. 27
  28. 0.8
  29. 7.38
  30. 24
  31. 25 days
  32. 0.068
  33. ₹10080
  34. 21
  35. Wednesday
  36. 180 sq cm
  37. 0.09
  38. 44
  39. 80
  40. 28

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