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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 551 · 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.Today is Saturday. What day of the week will it be after 34 days? (a) Friday (b) Thursday (c) Saturday (d) Sunday
  2. 2.If 20 November is a Sunday, what day of the week is 19 December? (a) Tuesday (b) Wednesday (c) Monday (d) Sunday
  3. 3.5.75 + 2.9 = ? (a) 8.75 (b) 8.55 (c) 8.65 (d) 6.04
  4. 4.What is 5/7 of 14? (a) 2 (b) 12 (c) 4 (d) 10
  5. 5.6.28 + 3.4 = ? (a) 9.58 (b) 9.68 (c) 9.78 (d) 6.62
  6. 6.What is the smallest number of sweets that can be shared equally among 12 children or among 28 children, with none left over? (a) 168 (b) 84 (c) 336 (d) 40
  7. 7.A shopkeeper buys a toy for ₹320 and sells it for ₹272. What is his loss percent? (a) 48% (b) 10% (c) 15% (d) 20%
  8. 8.What is the average of all the whole numbers from 25 to 35? (a) 30 (b) 5 (c) 10 (d) 31
  9. 9.If 28 August is a Wednesday, what day of the week is 17 September? (a) Thursday (b) Tuesday (c) Monday (d) Wednesday
  10. 10.What is the value of the digit 4 in 92.485? (a) 0.04 (b) 0.004 (c) 4 (d) 0.4
  11. 11.6.51 + 3.1 = ? (a) 9.51 (b) 9.61 (c) 9.71 (d) 6.82
  12. 12.What is the smallest number you must add to 143 to make it divisible by 3? (a) 2 (b) 1
  13. 13.Two ribbons are 44 cm and 55 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 44 cm (b) 11 cm (c) 220 cm (d) 1 cm
  14. 14.Every pair follows the same rule: 4 : 16, 7 : 49, 9 : 81. What is 5 : ? (a) 26 (b) 20 (c) 25 (d) 17
  15. 15.5/9 + 2/9 = ? (a) 2/3 (b) 7/18 (c) 8/9 (d) 7/9
  16. 16.Two bells ring every 15 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 105 min (b) 3 min (c) 36 min (d) 315 min
  17. 17.If x/3 + 2 = 14, what is x? (a) 12 (b) 36 (c) 48 (d) 40
  18. 18.Every pair follows the same rule: 3 : 24, 6 : 48, 7 : 56. What is 5 : ? (a) 41 (b) 40 (c) 39 (d) 26
  19. 19.8 workers can build a wall in 10 days. How many days will 4 workers take, working at the same speed? (a) 6 days (b) 14 days (c) 20 days (d) 5 days
  20. 20.What is the value of the digit 8 in 76.815? (a) 0.008 (b) 0.8 (c) 0.08 (d) 8
  21. 21.6 workers can build a wall in 7 days. How many days will 2 workers take, working at the same speed? (a) 11 days (b) 22 days (c) 3 days (d) 21 days
  22. 22.What is the average of 13, 11, 29 and 35? (a) 24 (b) 22 (c) 23 (d) 21
  23. 23.9.22 + 2.1 = ? (a) 11.32 (b) 11.22 (c) 9.43 (d) 11.42
  24. 24.What is the average of 37, 45, 55, 45 and 73? (a) 53 (b) 52 (c) 51 (d) 50
  25. 25.Which fraction is greater: 1/7 or 4/5? (a) 4/5 (b) 1/7 (c) They are equal
  26. 26.If 4x + 11 = 2x + 33, what is x? (a) 11 (b) 22 (c) 13 (d) 12
  27. 27.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 72 sq cm (c) 21 sq cm (d) 42 sq cm
  28. 28.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) 24 (c) 13 (d) 10
  29. 29.7.81 + 7.1 = ? (a) 14.81 (b) 14.91 (c) 8.52 (d) 15.01
  30. 30.In how many years will ₹4500 earn ₹270 simple interest at 3% per year? (a) 4 years (b) 1 year (c) 2 years (d) 3 years
  31. 31.If 8x − 15 = 1, what is x? (a) 16 (b) 1 (c) 3 (d) 2
  32. 32.Two ribbons are 15 cm and 40 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 15 cm (b) 25 cm (c) 1 cm (d) 5 cm
  33. 33.Which is the smallest: 0.85, 0.762, 0.8, 0.013? (a) 0.85 (b) 0.762 (c) 0.8 (d) 0.013
  34. 34.What is 2/5 of 20? (a) 9 (b) 12 (c) 8 (d) 4
  35. 35.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 9%
  36. 36.What is the average of 21, 27, 35, 35, 18 and 32? (a) 29 (b) 28 (c) 27 (d) 30
  37. 37.What is the remainder when 522 is divided by 7? (a) 3 (b) 6 (c) 4 (d) 5
  38. 38.A teacher has 21 pencils and 35 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 14 (b) 7 (c) 21 (d) 1
  39. 39.Today is Sunday. What day of the week will it be after 33 days? (a) Saturday (b) Friday (c) Sunday (d) Thursday
  40. 40.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 15 sq cm (c) 60 sq cm (d) 30 sq cm

Answer key

  1. Friday
  2. Monday
  3. 8.65
  4. 10
  5. 9.68
  6. 84
  7. 15%
  8. 30
  9. Tuesday
  10. 0.4
  11. 9.61
  12. 1
  13. 11 cm
  14. 25
  15. 7/9
  16. 105 min
  17. 36
  18. 40
  19. 20 days
  20. 0.8
  21. 21 days
  22. 22
  23. 11.32
  24. 51
  25. 4/5
  26. 11
  27. 54 sq cm
  28. 12
  29. 14.91
  30. 2 years
  31. 2
  32. 5 cm
  33. 0.013
  34. 8
  35. 5%
  36. 28
  37. 4
  38. 7
  39. Friday
  40. 50 sq cm

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