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Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 720 · 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 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 63 (b) 103 (c) 58 (d) 50
  2. 2.What is 7/9 of 36? (a) 8 (b) 32 (c) 28 (d) 4
  3. 3.Every pair follows the same rule: 5 : 32, 8 : 47, 9 : 52. What is 6 : ? (a) 37 (b) 38 (c) 36 (d) 33
  4. 4.Two bells ring every 18 minutes and every 30 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 6 min (b) 90 min (c) 48 min (d) 540 min
  5. 5.What is 4/7 of 28? (a) 16 (b) 12 (c) 20 (d) 4
  6. 6.9 workers can build a wall in 11 days. How many days will 3 workers take, working at the same speed? (a) 34 days (b) 33 days (c) 5 days (d) 17 days
  7. 7.Which fraction is greater: 2/3 or 2/11? (a) 2/11 (b) They are equal (c) 2/3
  8. 8.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 84 (c) 36 (d) 64
  9. 9.Every pair follows the same rule: 2 : 5, 4 : 17, 6 : 37. What is 9 : ? (a) 67 (b) 82 (c) 83 (d) 12
  10. 10.Every pair follows the same rule: 4 : 14, 5 : 16, 6 : 18. What is 3 : ? (a) 14 (b) 12 (c) 13 (d) 11
  11. 11.Two bells ring every 9 minutes and every 15 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 135 min (b) 24 min (c) 45 min (d) 3 min
  12. 12.Which is the greatest: 0.23, 0.068, 0.147, 0.2? (a) 0.23 (b) 0.068 (c) 0.147 (d) 0.2
  13. 13.What is 1/3 of 12? (a) 3 (b) 8 (c) 5 (d) 4
  14. 14.What is 3/4 of 8? (a) 2 (b) 6 (c) 7 (d) 8
  15. 15.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 65 (c) 73 (d) 16
  16. 16.Two ribbons are 9 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) 9 cm (b) 1 cm (c) 12 cm (d) 3 cm
  17. 17.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 9 cm (c) 18 cm (d) 14 cm
  18. 18.If 2x + 21 = 31, what is x? (a) 6 (b) 26 (c) 5 (d) 10
  19. 19.What is the smallest number you must add to 141 to make it divisible by 10? (a) 1 (b) 8 (c) 7 (d) 9
  20. 20.9.24 + 5.7 = ? (a) 14.84 (b) 15.04 (c) 14.94 (d) 9.81
  21. 21.8.69 + 9.9 = ? (a) 18.69 (b) 18.59 (c) 18.49 (d) 9.68
  22. 22.Every pair follows the same rule: 2 : 6, 3 : 7, 9 : 13. What is 5 : ? (a) 9 (b) 10 (c) 15 (d) 8
  23. 23.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 99 sq cm (d) 88 sq cm
  24. 24.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 11 cm (d) 24 cm
  25. 25.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 80 (c) 56 (d) 40
  26. 26.Which fraction is greater: 1/3 or 4/5? (a) 1/3 (b) 4/5 (c) They are equal
  27. 27.Every pair follows the same rule: 2 : 7, 5 : 10, 6 : 11. What is 8 : ? (a) 14 (b) 15 (c) 13 (d) 12
  28. 28.What is the average of 66, 46, 49 and 55? (a) 53 (b) 72 (c) 54 (d) 55
  29. 29.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 56 sq cm (c) 180 sq cm (d) 28 sq cm
  30. 30.Which of these numbers is divisible by 6? (a) 2764 (b) 2754 (c) 2759 (d) 2750
  31. 31.Two bells ring every 20 minutes and every 28 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 560 min (b) 4 min (c) 48 min (d) 140 min
  32. 32.If 2 October is a Sunday, what day of the week is 16 October? (a) Saturday (b) Monday (c) Sunday (d) Tuesday
  33. 33.A shopkeeper buys a toy for ₹520 and sells it for ₹650. What is his profit percent? (a) 26% (b) 25% (c) 30% (d) 20%
  34. 34.If 9 notebooks cost ₹63, how much do 2 notebooks cost? (a) ₹21 (b) ₹56 (c) ₹126 (d) ₹14
  35. 35.Which is the smallest: 0.024, 0.389, 0.4, 0.49? (a) 0.024 (b) 0.389 (c) 0.4 (d) 0.49
  36. 36.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 24 sq cm (d) 12 sq cm
  37. 37.What is the average of all the whole numbers from 54 to 72? (a) 63 (b) 18 (c) 9 (d) 64
  38. 38.Two bells ring every 16 minutes and every 20 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 36 min (b) 4 min (c) 320 min (d) 80 min
  39. 39.A teacher has 18 pencils and 45 erasers. She makes identical gift packs using all of them. What is the greatest number of packs she can make? (a) 9 (b) 18 (c) 27 (d) 3
  40. 40.Which is the greatest: 0.8, 0.043, 0.777, 0.86? (a) 0.8 (b) 0.043 (c) 0.777 (d) 0.86

Answer key

  1. 103
  2. 28
  3. 37
  4. 90 min
  5. 16
  6. 33 days
  7. 2/3
  8. 84
  9. 82
  10. 12
  11. 45 min
  12. 0.23
  13. 4
  14. 6
  15. 73
  16. 3 cm
  17. 18 cm
  18. 5
  19. 9
  20. 14.94
  21. 18.59
  22. 9
  23. 88 sq cm
  24. 22 cm
  25. 80
  26. 4/5
  27. 13
  28. 54
  29. 180 sq cm
  30. 2754
  31. 140 min
  32. Sunday
  33. 25%
  34. ₹14
  35. 0.024
  36. 20 sq cm
  37. 63
  38. 80 min
  39. 9
  40. 0.86

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