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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 419 · 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.What is the value of the digit 3 in 82.345? (a) 0.003 (b) 0.3 (c) 3 (d) 0.03
  2. 2.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 58 (c) 16 (d) 50
  3. 3.What is the units digit of 9^17? (a) 1 (b) 8 (c) 7 (d) 9
  4. 4.What is the value of the digit 6 in 62.958? (a) 60 (b) 6 (c) 0.6 (d) 0.06
  5. 5.If 4x + 2 = 2x + 22, what is x? (a) 9 (b) 12 (c) 10 (d) 11
  6. 6.A teacher has 50 pencils and 90 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 10 (b) 40 (c) 50 (d) 5
  7. 7.Which is the greatest: 0.042, 0.39, 0.257, 0.3? (a) 0.042 (b) 0.39 (c) 0.257 (d) 0.3
  8. 8.If 5x + 19 = 84, what is x? (a) 12 (b) 65 (c) 13 (d) 14
  9. 9.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 180 cm
  10. 10.Two ribbons are 50 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) 10 cm (b) 50 cm (c) 20 cm (d) 5 cm
  11. 11.What is the average of all the whole numbers from 16 to 34? (a) 25 (b) 26 (c) 18 (d) 9
  12. 12.Which is the smallest: 0.62, 0.534, 0.6, 0.069? (a) 0.62 (b) 0.534 (c) 0.6 (d) 0.069
  13. 13.If 5 kites cost ₹60, how much do 6 kites cost? (a) ₹72 (b) ₹360 (c) ₹84 (d) ₹61
  14. 14.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 31 (b) 95 (c) 30 (d) 45
  15. 15.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 14 (b) 56 (c) 54 (d) 66
  16. 16.What is the value of the digit 5 in 27.651? (a) 0.05 (b) 0.005 (c) 0.5 (d) 5
  17. 17.What is the smallest number of sweets that can be shared equally among 8 children or among 14 children, with none left over? (a) 56 (b) 57 (c) 112 (d) 22
  18. 18.Every pair follows the same rule: 2 : 8, 3 : 12, 6 : 24. What is 7 : ? (a) 29 (b) 13 (c) 28 (d) 27
  19. 19.A shopkeeper buys a toy for ₹560 and sells it for ₹532. What is his loss percent? (a) 5% (b) 28% (c) 10% (d) 6%
  20. 20.Which fraction is greater: 1/11 or 2/3? (a) 1/11 (b) 2/3 (c) They are equal
  21. 21.What is the average of 58, 51, 46, 74 and 66? (a) 60 (b) 58 (c) 61 (d) 59
  22. 22.Two ribbons are 88 cm and 99 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 88 cm (b) 792 cm (c) 1 cm (d) 11 cm
  23. 23.In how many years will ₹9000 earn ₹1800 simple interest at 10% per year? (a) 3 years (b) 1 year (c) 2 years (d) 4 years
  24. 24.A teacher has 21 pencils and 28 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 21 (b) 1 (c) 7 (d) 84
  25. 25.₹1000 is invested at 5% per year simple interest. What is the amount after 4 years? (a) ₹200 (b) ₹1050 (c) ₹1200 (d) ₹1250
  26. 26.Every pair follows the same rule: 3 : 15, 7 : 55, 9 : 87. What is 6 : ? (a) 39 (b) 30 (c) 42 (d) 18
  27. 27.If 4x − 24 = 12, what is x? (a) 9 (b) 10 (c) 36 (d) 8
  28. 28.In how many years will ₹5000 earn ₹1000 simple interest at 10% per year? (a) 2 years (b) 1 year (c) 3 years (d) 4 years
  29. 29.What is the average of 48, 46, 59, 70 and 77? (a) 60 (b) 75 (c) 59 (d) 61
  30. 30.₹60 is shared between two friends in the ratio 5 : 7. How much is the bigger share? (a) ₹25 (b) ₹35 (c) ₹30 (d) ₹5
  31. 31.Which fraction is greater: 9/11 or 1/4? (a) They are equal (b) 1/4 (c) 9/11
  32. 32.What is the average of all the whole numbers from 56 to 94? (a) 76 (b) 38 (c) 75 (d) 19
  33. 33.Which is the greatest: 0.053, 0.363, 0.4, 0.42? (a) 0.053 (b) 0.363 (c) 0.4 (d) 0.42
  34. 34.What is the value of the digit 5 in 15.297? (a) 50 (b) 0.05 (c) 0.5 (d) 5
  35. 35.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 20 (b) 4 (c) 23 (d) 39
  36. 36.Which fraction is greater: 2/7 or 11/12? (a) They are equal (b) 11/12 (c) 2/7
  37. 37.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 18 (b) 56 (c) 29 (d) 28
  38. 38.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 37 (b) 15 (c) 47 (d) 25
  39. 39.Every pair follows the same rule: 6 : 16, 7 : 17, 8 : 18. What is 2 : ? (a) 11 (b) 13 (c) 14 (d) 12
  40. 40.What is the simple interest on ₹10000 at 8% per year for 2 years? (a) ₹1600 (b) ₹800 (c) ₹11600 (d) ₹2400

Answer key

  1. 0.3
  2. 58
  3. 9
  4. 60
  5. 10
  6. 10
  7. 0.39
  8. 13
  9. 11 cm
  10. 10 cm
  11. 25
  12. 0.069
  13. ₹72
  14. 30
  15. 66
  16. 0.05
  17. 56
  18. 28
  19. 5%
  20. 2/3
  21. 59
  22. 11 cm
  23. 2 years
  24. 7
  25. ₹1200
  26. 42
  27. 9
  28. 2 years
  29. 60
  30. ₹35
  31. 9/11
  32. 75
  33. 0.42
  34. 5
  35. 23
  36. 11/12
  37. 28
  38. 37
  39. 12
  40. ₹1600

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