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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 295 · 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. 1.9 workers can build a wall in 13 days. How many days will 3 workers take, working at the same speed? (a) 7 days (b) 40 days (c) 39 days (d) 19 days
  2. 2.5.25 + 1.7 = ? (a) 5.42 (b) 7.05 (c) 6.85 (d) 6.95
  3. 3.9.42 + 2.3 = ? (a) 9.65 (b) 11.72 (c) 11.62 (d) 11.82
  4. 4.A teacher has 10 pencils and 15 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 30 (c) 1 (d) 5
  5. 5.Every pair follows the same rule: 3 : 15, 5 : 19, 6 : 21. What is 8 : ? (a) 40 (b) 25 (c) 26 (d) 20
  6. 6.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 25 (b) 55 (c) 65 (d) 35
  7. 7.Which of these numbers is divisible by 3? (a) 1342 (b) 1344 (c) 1345 (d) 1349
  8. 8.Two ribbons are 14 cm and 63 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 14 cm (b) 7 cm (c) 1 cm (d) 49 cm
  9. 9.A bag marked ₹480 is sold at a 10% discount. What is its selling price? (a) ₹528 (b) ₹432 (c) ₹470 (d) ₹48
  10. 10.3 workers can build a wall in 8 days. How many days will 6 workers take, working at the same speed? (a) 11 days (b) 4 days (c) 16 days (d) 5 days
  11. 11.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 75 (b) 51 (c) 59 (d) 32
  12. 12.What is the smallest number of sweets that can be shared equally among 20 children or among 28 children, with none left over? (a) 280 (b) 560 (c) 48 (d) 140
  13. 13.Two ribbons are 20 cm and 28 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) 4 cm (c) 2 cm (d) 8 cm
  14. 14.Which of these numbers is divisible by 6? (a) 1611 (b) 1614 (c) 1617 (d) 1621
  15. 15.4 workers can build a wall in 5 days. How many days will 5 workers take, working at the same speed? (a) 4 days (b) 3 days (c) 6 days (d) 5 days
  16. 16.1/2 + 6/7 = ? (a) 7/9 (b) 19/14 (c) 10/7 (d) 9/7
  17. 17.What is the average of all the whole numbers from 54 to 90? (a) 36 (b) 72 (c) 18 (d) 73
  18. 18.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 58 (b) 16 (c) 86 (d) 44
  19. 19.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 60 sq cm (c) 234 sq cm (d) 30 sq cm
  20. 20.Which is the smallest: 0.5, 0.51, 0.013, 0.448? (a) 0.5 (b) 0.51 (c) 0.013 (d) 0.448
  21. 21.What is the smallest number you must add to 848 to make it divisible by 12? (a) 5 (b) 8 (c) 3 (d) 4
  22. 22.A shopkeeper buys a toy for ₹220 and sells it for ₹231. What is his profit percent? (a) 6% (b) 5% (c) 11% (d) 10%
  23. 23.6.35 + 3.3 = ? (a) 9.65 (b) 9.55 (c) 9.75 (d) 6.68
  24. 24.A shopkeeper buys a toy for ₹560 and sells it for ₹700. What is his profit percent? (a) 25% (b) 26% (c) 20% (d) 30%
  25. 25.If 2 October is a Thursday, what day of the week is 15 October? (a) Wednesday (b) Thursday (c) Friday (d) Tuesday
  26. 26.1/2 + 1/2 = ? (a) 3/2 (b) 2 (c) 1/2 (d) 1
  27. 27.4/5 + 1/3 = ? (a) 5/8 (b) 16/15 (c) 6/5 (d) 17/15
  28. 28.Every pair follows the same rule: 4 : 10, 5 : 13, 8 : 22. What is 3 : ? (a) 7 (b) 8 (c) 6 (d) 9
  29. 29.Which is the smallest: 0.5, 0.031, 0.478, 0.51? (a) 0.5 (b) 0.031 (c) 0.478 (d) 0.51
  30. 30.What is the remainder when 155 is divided by 3? (a) 0 (b) 1 (c) 2
  31. 31.Every pair follows the same rule: 2 : 8, 3 : 27, 5 : 125. What is 1 : ? (a) 2 (b) 7 (c) 4 (d) 1
  32. 32.A shopkeeper buys a toy for ₹560 and sells it for ₹476. What is his loss percent? (a) 10% (b) 15% (c) 84% (d) 20%
  33. 33.What is 4/5 of 40? (a) 33 (b) 40 (c) 32 (d) 8
  34. 34.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 44 (b) 76 (c) 48 (d) 36
  35. 35.Which is the greatest: 0.092, 0.78, 0.636, 0.7? (a) 0.092 (b) 0.78 (c) 0.636 (d) 0.7
  36. 36.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 8 (b) 34 (c) 18 (d) 24
  37. 37.₹9000 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹10080 (b) ₹10350 (c) ₹9270 (d) ₹1080
  38. 38.What is the average of all the whole numbers from 46 to 58? (a) 6 (b) 12 (c) 52 (d) 53
  39. 39.1.38 + 4.8 = ? (a) 6.08 (b) 6.18 (c) 6.28 (d) 1.86
  40. 40.A shopkeeper buys a toy for ₹540 and sells it for ₹567. What is his profit percent? (a) 10% (b) 27% (c) 6% (d) 5%

Answer key

  1. 39 days
  2. 6.95
  3. 11.72
  4. 5
  5. 25
  6. 55
  7. 1344
  8. 7 cm
  9. ₹432
  10. 4 days
  11. 75
  12. 140
  13. 4 cm
  14. 1614
  15. 4 days
  16. 19/14
  17. 72
  18. 58
  19. 216 sq cm
  20. 0.013
  21. 4
  22. 5%
  23. 9.65
  24. 25%
  25. Wednesday
  26. 1
  27. 17/15
  28. 7
  29. 0.031
  30. 2
  31. 1
  32. 15%
  33. 32
  34. 76
  35. 0.78
  36. 24
  37. ₹10080
  38. 52
  39. 6.18
  40. 5%

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