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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 527 · 40 questions
TalentJR

How to solve it (Think in totals): Average = total ÷ how many; so total = average × how many. A number taken away = old total − new total. Evenly spaced numbers (like 10 to 20): average = (first + last) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.What is the average of 13, 29, 19, 34 and 35? (a) 26 (b) 25 (c) 28 (d) 27
  2. 2.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 16 (b) 26 (c) 22 (d) 12
  3. 3.What is the average of all the whole numbers from 54 to 66? (a) 61 (b) 60 (c) 12 (d) 6
  4. 4.What is the average of 29, 38, 32, 48, 30 and 75? (a) 42 (b) 44 (c) 43 (d) 41
  5. 5.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 60 (b) 39 (c) 87 (d) 33
  6. 6.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 24 (b) 47 (c) 51 (d) 67
  7. 7.What is the average of 59, 79, 83, 64, 71 and 64? (a) 71 (b) 84 (c) 69 (d) 70
  8. 8.What is the average of 35, 32, 9, 11, 22 and 29? (a) 22 (b) 25 (c) 24 (d) 23
  9. 9.What is the average of all the whole numbers from 44 to 78? (a) 62 (b) 17 (c) 34 (d) 61
  10. 10.What is the average of 86, 60, 69, 67 and 93? (a) 77 (b) 74 (c) 76 (d) 75
  11. 11.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 63 (b) 64 (c) 34 (d) 35
  12. 12.What is the average of 24, 39, 32, 39, 44 and 2? (a) 36 (b) 31 (c) 29 (d) 30
  13. 13.What is the average of 56, 62, 66, 63 and 93? (a) 69 (b) 67 (c) 85 (d) 68
  14. 14.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 64 (b) 49 (c) 25 (d) 44
  15. 15.What is the average of all the whole numbers from 21 to 51? (a) 37 (b) 36 (c) 15 (d) 30
  16. 16.What is the average of all the whole numbers from 22 to 42? (a) 33 (b) 20 (c) 10 (d) 32
  17. 17.What is the average of all the whole numbers from 60 to 92? (a) 16 (b) 77 (c) 76 (d) 32
  18. 18.What is the average of 31, 26, 33, 50, 29 and 65? (a) 41 (b) 40 (c) 39 (d) 38
  19. 19.What is the average of all the whole numbers from 24 to 36? (a) 31 (b) 6 (c) 12 (d) 30
  20. 20.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 29 (b) 37 (c) 17 (d) 25
  21. 21.What is the average of 64, 50, 71 and 43? (a) 58 (b) 56 (c) 57 (d) 76
  22. 22.What is the average of all the whole numbers from 43 to 57? (a) 50 (b) 51 (c) 7 (d) 14
  23. 23.What is the average of all the whole numbers from 27 to 61? (a) 17 (b) 34 (c) 44 (d) 45
  24. 24.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 43 (b) 44 (c) 25 (d) 24
  25. 25.What is the average of 23, 19, 22 and 72? (a) 35 (b) 33 (c) 36 (d) 34
  26. 26.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 27 (c) 83 (d) 62
  27. 27.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 23 (b) 26 (c) 45 (d) 4
  28. 28.What is the average of all the whole numbers from 57 to 91? (a) 34 (b) 17 (c) 74 (d) 75
  29. 29.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 40 (b) 60 (c) 55 (d) 90
  30. 30.What is the average of 64, 54, 35, 50, 44 and 47? (a) 49 (b) 51 (c) 50 (d) 48
  31. 31.What is the average of all the whole numbers from 16 to 32? (a) 8 (b) 24 (c) 25 (d) 16
  32. 32.What is the average of 72, 52, 57, 73, 48 and 64? (a) 61 (b) 63 (c) 60 (d) 62
  33. 33.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 60 (b) 28 (c) 68 (d) 36
  34. 34.What is the average of all the whole numbers from 18 to 34? (a) 8 (b) 27 (c) 26 (d) 16
  35. 35.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 65 (b) 60 (c) 95 (d) 40
  36. 36.What is the average of 10, 5, 5 and 60? (a) 21 (b) 20 (c) 22 (d) 19
  37. 37.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 50 (b) 61 (c) 21 (d) 32
  38. 38.What is the average of all the whole numbers from 53 to 87? (a) 34 (b) 71 (c) 70 (d) 17
  39. 39.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 22? (a) 40 (b) 24 (c) 20 (d) 22
  40. 40.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 12 (c) 27 (d) 35

Answer key

  1. 26
  2. 26
  3. 60
  4. 42
  5. 87
  6. 67
  7. 70
  8. 23
  9. 61
  10. 75
  11. 64
  12. 30
  13. 68
  14. 64
  15. 36
  16. 32
  17. 76
  18. 39
  19. 30
  20. 37
  21. 57
  22. 50
  23. 44
  24. 44
  25. 34
  26. 83
  27. 26
  28. 74
  29. 90
  30. 49
  31. 24
  32. 61
  33. 60
  34. 26
  35. 95
  36. 20
  37. 50
  38. 70
  39. 40
  40. 35

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