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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 391 · 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.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 58? (a) 64 (b) 58 (c) 24 (d) 76
  2. 2.Two ribbons are 30 cm and 70 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 40 cm (b) 30 cm (c) 10 cm (d) 5 cm
  3. 3.Two ribbons are 4 cm and 10 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 1 cm (b) 4 cm (c) 6 cm (d) 2 cm
  4. 4.What is the units digit of 2^22? (a) 4 (b) 2 (c) 6 (d) 8
  5. 5.7/9 + 5/9 = ? (a) 2/3 (b) 11/9 (c) 13/9 (d) 4/3
  6. 6.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 12 (b) 31 (c) 11 (d) 15
  7. 7.A shopkeeper buys a toy for ₹780 and sells it for ₹1092. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
  8. 8.1/2 + 1/2 = ? (a) 1/2 (b) 2 (c) 3/2 (d) 1
  9. 9.₹108 is shared between two friends in the ratio 4 : 5. How much is the bigger share? (a) ₹12 (b) ₹60 (c) ₹54 (d) ₹48
  10. 10.What is the smallest number of sweets that can be shared equally among 10 children or among 14 children, with none left over? (a) 24 (b) 71 (c) 70 (d) 140
  11. 11.Two ribbons are 63 cm and 72 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 504 cm (b) 3 cm (c) 63 cm (d) 9 cm
  12. 12.A shopkeeper buys a toy for ₹900 and sells it for ₹675. What is his loss percent? (a) 25% (b) 30% (c) 26% (d) 20%
  13. 13.If 5x + 1 = 76, what is x? (a) 15 (b) 75 (c) 14 (d) 16
  14. 14.What is 1/2 of 8? (a) 5 (b) 8 (c) 4 (d) 3
  15. 15.A shopkeeper buys a toy for ₹780 and sells it for ₹546. What is his loss percent? (a) 31% (b) 35% (c) 25% (d) 30%
  16. 16.1.83 + 1.9 = ? (a) 3.73 (b) 3.63 (c) 3.83 (d) 2.02
  17. 17.1/4 + 1/5 = ? (a) 2/5 (b) 9/20 (c) 1/2 (d) 2/9
  18. 18.What is the units digit of 9^17? (a) 8 (b) 1 (c) 9 (d) 7
  19. 19.If 9 July is a Wednesday, what day of the week is 24 July? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
  20. 20.What is the smallest number of sweets that can be shared equally among 18 children or among 24 children, with none left over? (a) 42 (b) 144 (c) 432 (d) 72
  21. 21.What is the remainder when 408 is divided by 11? (a) 2 (b) 0 (c) 1 (d) 10
  22. 22.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 41 (b) 28 (c) 8 (d) 21
  23. 23.3.21 + 2.1 = ? (a) 5.41 (b) 5.21 (c) 3.42 (d) 5.31
  24. 24.What is the remainder when 231 is divided by 4? (a) 2 (b) 1 (c) 0 (d) 3
  25. 25.What is the remainder when 844 is divided by 11? (a) 7 (b) 3 (c) 9 (d) 8
  26. 26.A bag marked ₹260 is sold at a 30% discount. What is its selling price? (a) ₹230 (b) ₹338 (c) ₹182 (d) ₹78
  27. 27.What is the smallest number you must add to 151 to make it divisible by 4? (a) 3 (b) 2 (c) 1
  28. 28.What is the average of all the whole numbers from 34 to 50? (a) 16 (b) 8 (c) 42 (d) 43
  29. 29.Every pair follows the same rule: 2 : 4, 3 : 6, 5 : 10. What is 9 : ? (a) 17 (b) 11 (c) 19 (d) 18
  30. 30.If 4 kites cost ₹28, how much do 5 kites cost? (a) ₹35 (b) ₹29 (c) ₹140 (d) ₹42
  31. 31.If 6 notebooks cost ₹36, how much do 11 notebooks cost? (a) ₹66 (b) ₹72 (c) ₹396 (d) ₹41
  32. 32.If 10 May is a Sunday, what day of the week is 16 June? (a) Tuesday (b) Wednesday (c) Thursday (d) Monday
  33. 33.Two ribbons are 14 cm and 21 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 42 cm (b) 14 cm (c) 7 cm (d) 1 cm
  34. 34.What is the smallest number of sweets that can be shared equally among 10 children or among 35 children, with none left over? (a) 70 (b) 140 (c) 45 (d) 350
  35. 35.₹80 is shared between two friends in the ratio 1 : 3. How much is the bigger share? (a) ₹60 (b) ₹80 (c) ₹40 (d) ₹20
  36. 36.If 5 December is a Monday, what day of the week is 19 December? (a) Monday (b) Tuesday (c) Sunday (d) Wednesday
  37. 37.8 workers can build a wall in 5 days. How many days will 4 workers take, working at the same speed? (a) 9 days (b) 1 day (c) 11 days (d) 10 days
  38. 38.What is the units digit of 9^20? (a) 2 (b) 1 (c) 0 (d) 9
  39. 39.Which is the greatest: 0.8, 0.86, 0.045, 0.734? (a) 0.8 (b) 0.86 (c) 0.045 (d) 0.734
  40. 40.8 workers can build a wall in 12 days. How many days will 12 workers take, working at the same speed? (a) 9 days (b) 16 days (c) 18 days (d) 8 days

Answer key

  1. 76
  2. 10 cm
  3. 2 cm
  4. 4
  5. 4/3
  6. 11
  7. 40%
  8. 1
  9. ₹60
  10. 70
  11. 9 cm
  12. 25%
  13. 15
  14. 4
  15. 30%
  16. 3.73
  17. 9/20
  18. 9
  19. Thursday
  20. 72
  21. 1
  22. 28
  23. 5.31
  24. 3
  25. 8
  26. ₹182
  27. 1
  28. 42
  29. 18
  30. ₹35
  31. ₹66
  32. Tuesday
  33. 7 cm
  34. 70
  35. ₹60
  36. Monday
  37. 10 days
  38. 1
  39. 0.86
  40. 8 days

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