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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 713 · 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 3x + 14 = 2x + 25, what is x? (a) 39 (b) 11 (c) 13 (d) 12
  2. 2.What is the average of all the whole numbers from 33 to 39? (a) 36 (b) 3 (c) 37 (d) 6
  3. 3.₹9000 is invested at 8% per year simple interest. What is the amount after 2 years? (a) ₹1440 (b) ₹11160 (c) ₹9720 (d) ₹10440
  4. 4.A teacher has 70 pencils and 80 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 560 (b) 10 (c) 5 (d) 70
  5. 5.If 4x − 4 = 12, what is x? (a) 5 (b) 2 (c) 4 (d) 16
  6. 6.6/9 + 6/9 = ? (a) 11/9 (b) 13/9 (c) 2/3 (d) 4/3
  7. 7.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 15 (c) 55 (d) 46
  8. 8.Today is Saturday. What day of the week will it be after 96 days? (a) Friday (b) Thursday (c) Saturday (d) Wednesday
  9. 9.Two ribbons are 27 cm and 45 cm long. Both are cut into pieces of the same length with nothing left over. What is the longest each piece can be? (a) 27 cm (b) 18 cm (c) 9 cm (d) 3 cm
  10. 10.If 19 March is a Friday, what day of the week is 5 April? (a) Wednesday (b) Tuesday (c) Sunday (d) Monday
  11. 11.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 18 cm (d) 20 cm
  12. 12.Today is Friday. What day of the week will it be after 78 days? (a) Friday (b) Saturday (c) Sunday (d) Monday
  13. 13.What is the average of 82, 71, 73 and 82? (a) 76 (b) 77 (c) 78 (d) 79
  14. 14.What is 25% of 840? (a) 420 (b) 630 (c) 2100 (d) 210
  15. 15.Which of these numbers is divisible by 4? (a) 2473 (b) 2471 (c) 2478 (d) 2472
  16. 16.2.61 + 2.3 = ? (a) 4.81 (b) 4.91 (c) 2.84 (d) 5.01
  17. 17.Which fraction is greater: 2/5 or 2/3? (a) They are equal (b) 2/5 (c) 2/3
  18. 18.₹500 is shared between two friends in the ratio 3 : 7. How much is the bigger share? (a) ₹350 (b) ₹150 (c) ₹50 (d) ₹250
  19. 19.Which is the greatest: 0.091, 0.5, 0.467, 0.53? (a) 0.091 (b) 0.5 (c) 0.467 (d) 0.53
  20. 20.1/6 + 2/8 = ? (a) 11/24 (b) 3/14 (c) 5/12 (d) 3/8
  21. 21.4.08 + 7.4 = ? (a) 4.82 (b) 11.58 (c) 11.48 (d) 11.38
  22. 22.₹559 is shared between two friends in the ratio 5 : 8. How much is the bigger share? (a) ₹344 (b) ₹387 (c) ₹215 (d) ₹43
  23. 23.What is 20% of 720? (a) 288 (b) 144 (c) 1440 (d) 576
  24. 24.Every pair follows the same rule: 6 : 37, 7 : 50, 8 : 65. What is 3 : ? (a) 9 (b) 11 (c) 10 (d) 34
  25. 25.A shopkeeper buys a toy for ₹740 and sells it for ₹1036. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  26. 26.If 2 pens cost ₹38, how much do 3 pens cost? (a) ₹57 (b) ₹39 (c) ₹76 (d) ₹114
  27. 27.A shopkeeper buys a toy for ₹360 and sells it for ₹504. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 41%
  28. 28.9 workers can build a wall in 12 days. How many days will 4 workers take, working at the same speed? (a) 7 days (b) 28 days (c) 17 days (d) 27 days
  29. 29.Every pair follows the same rule: 6 : 9, 8 : 13, 9 : 15. What is 5 : ? (a) 6 (b) 8 (c) 7 (d) 9
  30. 30.Which fraction is greater: 2/3 or 2/7? (a) They are equal (b) 2/7 (c) 2/3
  31. 31.Which is the greatest: 0.351, 0.45, 0.095, 0.4? (a) 0.351 (b) 0.45 (c) 0.095 (d) 0.4
  32. 32.If 9x + 18 = 2x + 53, what is x? (a) 6 (b) 5 (c) 4 (d) 7
  33. 33.Two bells ring every 12 minutes and every 14 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 168 min (b) 26 min (c) 2 min (d) 84 min
  34. 34.What is the smallest number of sweets that can be shared equally among 12 children or among 30 children, with none left over? (a) 60 (b) 360 (c) 42 (d) 120
  35. 35.What is the units digit of 8^54? (a) 4 (b) 6 (c) 2 (d) 8
  36. 36.What is the average of 6, 28, 34, 21 and 16? (a) 20 (b) 23 (c) 22 (d) 21
  37. 37.In how many years will ₹9000 earn ₹3600 simple interest at 8% per year? (a) 4 years (b) 10 years (c) 6 years (d) 5 years
  38. 38.₹400 is shared between two friends in the ratio 1 : 7. How much is the bigger share? (a) ₹400 (b) ₹50 (c) ₹200 (d) ₹350
  39. 39.Every pair follows the same rule: 5 : 23, 6 : 34, 7 : 47. What is 8 : ? (a) 60 (b) 63 (c) 26 (d) 62
  40. 40.What is the average of 36, 55, 39, 34, 33 and 61? (a) 44 (b) 42 (c) 43 (d) 45

Answer key

  1. 11
  2. 36
  3. ₹10440
  4. 10
  5. 4
  6. 4/3
  7. 55
  8. Thursday
  9. 9 cm
  10. Monday
  11. 20 cm
  12. Saturday
  13. 77
  14. 210
  15. 2472
  16. 4.91
  17. 2/3
  18. ₹350
  19. 0.53
  20. 5/12
  21. 11.48
  22. ₹344
  23. 144
  24. 10
  25. 40%
  26. ₹57
  27. 40%
  28. 27 days
  29. 7
  30. 2/3
  31. 0.45
  32. 5
  33. 84 min
  34. 60
  35. 4
  36. 21
  37. 5 years
  38. ₹350
  39. 62
  40. 43

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