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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 764 · 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 13 June is a Friday, what day of the week is 15 July? (a) Monday (b) Wednesday (c) Thursday (d) Tuesday
  2. 2.Two bells ring every 4 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 18 min (b) 2 min (c) 28 min (d) 56 min
  3. 3.What is 1/2 of 16? (a) 7 (b) 9 (c) 8 (d) 16
  4. 4.What is the remainder when 196 is divided by 6? (a) 2 (b) 5 (c) 4 (d) 3
  5. 5.What is the remainder when 339 is divided by 9? (a) 3 (b) 7 (c) 6 (d) 5
  6. 6.1/3 + 4/5 = ? (a) 17/15 (b) 16/15 (c) 5/8 (d) 6/5
  7. 7.If 5x + 26 = 96, what is x? (a) 13 (b) 70 (c) 15 (d) 14
  8. 8.A shopkeeper buys a toy for ₹400 and sells it for ₹300. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
  9. 9.What is the smallest number of sweets that can be shared equally among 12 children or among 18 children, with none left over? (a) 30 (b) 72 (c) 216 (d) 36
  10. 10.If 9 October is a Tuesday, what day of the week is 17 October? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
  11. 11.What is the value of the digit 1 in 34.961? (a) 0.1 (b) 1 (c) 0.001 (d) 0.01
  12. 12.If 12 January is a Saturday, what day of the week is 21 January? (a) Tuesday (b) Wednesday (c) Sunday (d) Monday
  13. 13.What is the simple interest on ₹3000 at 2% per year for 4 years? (a) ₹240 (b) ₹60 (c) ₹300 (d) ₹3240
  14. 14.What is the average of 36, 22, 31, 35, 26 and 48? (a) 35 (b) 33 (c) 34 (d) 32
  15. 15.If 7x + 2 = 2x + 42, what is x? (a) 9 (b) 7 (c) 8 (d) 10
  16. 16.5 workers can build a wall in 10 days. How many days will 2 workers take, working at the same speed? (a) 13 days (b) 25 days (c) 7 days (d) 4 days
  17. 17.What is the remainder when 435 is divided by 11? (a) 5 (b) 7 (c) 6 (d) 8
  18. 18.Which of these numbers is divisible by 8? (a) 1689 (b) 1701 (c) 1705 (d) 1696
  19. 19.Two bells ring every 9 minutes and every 21 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 3 min (b) 189 min (c) 30 min (d) 63 min
  20. 20.What is 5% of 360? (a) 18 (b) 36 (c) 180 (d) 342
  21. 21.What is the smallest number you must add to 276 to make it divisible by 7? (a) 3 (b) 4 (c) 5 (d) 6
  22. 22.In how many years will ₹6500 earn ₹1300 simple interest at 5% per year? (a) 5 years (b) 8 years (c) 3 years (d) 4 years
  23. 23.If 9x + 14 = 32, what is x? (a) 1 (b) 2 (c) 3 (d) 18
  24. 24.7 workers can build a wall in 11 days. How many days will 11 workers take, working at the same speed? (a) 7 days (b) 8 days (c) 15 days (d) 6 days
  25. 25.A teacher has 9 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 3 (b) 6 (c) 1 (d) 9
  26. 26.₹8500 is invested at 11% per year simple interest. What is the amount after 5 years? (a) ₹4675 (b) ₹14110 (c) ₹9435 (d) ₹13175
  27. 27.1/3 + 1/4 = ? (a) 1/2 (b) 7/12 (c) 2/7 (d) 2/3
  28. 28.Which fraction is greater: 2/7 or 6/11? (a) 2/7 (b) 6/11 (c) They are equal
  29. 29.Which of these numbers is divisible by 9? (a) 7171 (b) 7164 (c) 7158 (d) 7175
  30. 30.If 15 May is a Thursday, what day of the week is 27 May? (a) Thursday (b) Monday (c) Tuesday (d) Wednesday
  31. 31.What is the value of the digit 5 in 45.127? (a) 50 (b) 5 (c) 0.05 (d) 0.5
  32. 32.What is the value of the digit 5 in 26.574? (a) 5 (b) 0.005 (c) 0.05 (d) 0.5
  33. 33.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 10 cm (c) 96 cm (d) 18 cm
  34. 34.If 7x + 10 = x + 40, what is x? (a) 7 (b) 4 (c) 6 (d) 5
  35. 35.Two ribbons are 12 cm and 54 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 6 cm (b) 42 cm (c) 3 cm (d) 12 cm
  36. 36.What is 1/2 of 22? (a) 12 (b) 11 (c) 10 (d) 22
  37. 37.8.89 + 8.8 = ? (a) 17.79 (b) 17.59 (c) 9.77 (d) 17.69
  38. 38.A shopkeeper buys a toy for ₹280 and sells it for ₹266. What is his loss percent? (a) 6% (b) 14% (c) 10% (d) 5%
  39. 39.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 10% (b) 27% (c) 20% (d) 15%
  40. 40.What is the smallest number you must add to 713 to make it divisible by 9? (a) 2 (b) 6 (c) 7 (d) 8

Answer key

  1. Tuesday
  2. 28 min
  3. 8
  4. 4
  5. 6
  6. 17/15
  7. 14
  8. 25%
  9. 36
  10. Wednesday
  11. 0.001
  12. Monday
  13. ₹240
  14. 33
  15. 8
  16. 25 days
  17. 6
  18. 1696
  19. 63 min
  20. 18
  21. 4
  22. 4 years
  23. 2
  24. 7 days
  25. 3
  26. ₹13175
  27. 7/12
  28. 6/11
  29. 7164
  30. Tuesday
  31. 5
  32. 0.5
  33. 9 cm
  34. 5
  35. 6 cm
  36. 11
  37. 17.69
  38. 5%
  39. 15%
  40. 7

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