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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 588 · 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: 3 : 10, 6 : 37, 7 : 50. What is 5 : ? (a) 24 (b) 26 (c) 27 (d) 12
  2. 2.If x/5 + 4 = 6, what is x? (a) 26 (b) 2 (c) 50 (d) 10
  3. 3.If x/6 + 1 = 9, what is x? (a) 60 (b) 53 (c) 8 (d) 48
  4. 4.₹261 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹116 (b) ₹174 (c) ₹145 (d) ₹29
  5. 5.1/2 + 2/4 = ? (a) 3/4 (b) 1/2 (c) 5/4 (d) 1
  6. 6.What is the units digit of 9^15? (a) 9 (b) 8 (c) 7 (d) 1
  7. 7.What is 1/2 of 14? (a) 14 (b) 6 (c) 8 (d) 7
  8. 8.Which is the smallest: 0.6, 0.66, 0.055, 0.538? (a) 0.6 (b) 0.66 (c) 0.055 (d) 0.538
  9. 9.What is the average of 51, 74, 50, 67, 48 and 76? (a) 60 (b) 62 (c) 61 (d) 63
  10. 10.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 39 cm (c) 46 cm (d) 23 cm
  11. 11.Which is the smallest: 0.3, 0.253, 0.024, 0.38? (a) 0.3 (b) 0.253 (c) 0.024 (d) 0.38
  12. 12.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) 80 min (c) 2 min (d) 40 min
  13. 13.Every pair follows the same rule: 3 : 9, 6 : 36, 9 : 81. What is 7 : ? (a) 13 (b) 51 (c) 49 (d) 21
  14. 14.If 11 July is a Monday, what day of the week is 8 August? (a) Monday (b) Wednesday (c) Tuesday (d) Sunday
  15. 15.If 4 March is a Friday, what day of the week is 17 March? (a) Thursday (b) Wednesday (c) Saturday (d) Friday
  16. 16.Which fraction is greater: 8/11 or 5/6? (a) 5/6 (b) 8/11 (c) They are equal
  17. 17.₹136 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹17 (b) ₹68 (c) ₹136 (d) ₹119
  18. 18.Two ribbons are 4 cm and 6 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 2 cm (b) 4 cm (c) 12 cm (d) 1 cm
  19. 19.Which is the greatest: 0.8, 0.748, 0.043, 0.84? (a) 0.8 (b) 0.748 (c) 0.043 (d) 0.84
  20. 20.Two bells ring every 12 minutes and every 42 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 84 min (b) 6 min (c) 504 min (d) 54 min
  21. 21.If 5x + 17 = 42, what is x? (a) 6 (b) 25 (c) 5 (d) 4
  22. 22.If 8 pens cost ₹152, how much do 5 pens cost? (a) ₹149 (b) ₹114 (c) ₹760 (d) ₹95
  23. 23.If 10 November is a Thursday, what day of the week is 6 December? (a) Wednesday (b) Thursday (c) Monday (d) Tuesday
  24. 24.3/7 + 3/7 = ? (a) 3/7 (b) 6/7 (c) 1 (d) 5/7
  25. 25.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 108 sq cm (d) 96 sq cm
  26. 26.A teacher has 49 pencils and 63 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 1 (b) 14 (c) 7 (d) 49
  27. 27.What is the value of the digit 1 in 12.647? (a) 10 (b) 0.01 (c) 0.1 (d) 1
  28. 28.The simple interest on ₹8500 for 5 years is ₹850. What is the rate per year? (a) 2% (b) 1% (c) 10% (d) 3%
  29. 29.Two ribbons are 20 cm and 30 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 20 cm (b) 60 cm (c) 5 cm (d) 10 cm
  30. 30.What is the smallest number of sweets that can be shared equally among 18 children or among 42 children, with none left over? (a) 252 (b) 126 (c) 756 (d) 60
  31. 31.If 2x + 22 = 32, what is x? (a) 27 (b) 5 (c) 6 (d) 10
  32. 32.What is the remainder when 395 is divided by 9? (a) 6 (b) 7 (c) 8 (d) 1
  33. 33.If 21 October is a Sunday, what day of the week is 14 November? (a) Wednesday (b) Tuesday (c) Thursday (d) Friday
  34. 34.What is the average of all the whole numbers from 40 to 62? (a) 51 (b) 11 (c) 22 (d) 52
  35. 35.Today is Saturday. What day of the week will it be after 71 days? (a) Monday (b) Tuesday (c) Saturday (d) Sunday
  36. 36.Two bells ring every 12 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 360 min (c) 42 min (d) 60 min
  37. 37.Every pair follows the same rule: 4 : 16, 6 : 24, 9 : 36. What is 8 : ? (a) 20 (b) 31 (c) 32 (d) 33
  38. 38.What is the average of 80, 61, 60 and 83? (a) 70 (b) 72 (c) 71 (d) 73
  39. 39.If 3x − 4 = 2, what is x? (a) 2 (b) 1 (c) 3 (d) 6
  40. 40.If 7 pens cost ₹70, how much do 2 pens cost? (a) ₹20 (b) ₹140 (c) ₹65 (d) ₹30

Answer key

  1. 26
  2. 10
  3. 48
  4. ₹145
  5. 1
  6. 9
  7. 7
  8. 0.055
  9. 61
  10. 46 cm
  11. 0.024
  12. 40 min
  13. 49
  14. Monday
  15. Thursday
  16. 5/6
  17. ₹119
  18. 2 cm
  19. 0.84
  20. 84 min
  21. 5
  22. ₹95
  23. Tuesday
  24. 6/7
  25. 96 sq cm
  26. 7
  27. 10
  28. 2%
  29. 10 cm
  30. 126
  31. 5
  32. 8
  33. Wednesday
  34. 51
  35. Sunday
  36. 60 min
  37. 32
  38. 71
  39. 2
  40. ₹20

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