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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 764 · 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 all the whole numbers from 59 to 89? (a) 15 (b) 30 (c) 74 (d) 75
  2. 2.What is the average of 57, 77, 81 and 49? (a) 67 (b) 88 (c) 65 (d) 66
  3. 3.What is the average of 52, 36, 42, 47, 60 and 63? (a) 60 (b) 49 (c) 50 (d) 51
  4. 4.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 8 (b) 18 (c) 34 (d) 24
  5. 5.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 65 (b) 37 (c) 5 (d) 33
  6. 6.What is the average of 66, 63, 60 and 67? (a) 65 (b) 66 (c) 63 (d) 64
  7. 7.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 81 (b) 67 (c) 28 (d) 60
  8. 8.What is the average of 65, 68, 51, 54, 76 and 82? (a) 67 (b) 68 (c) 65 (d) 66
  9. 9.What is the average of 56, 70, 65, 64, 72 and 57? (a) 63 (b) 65 (c) 66 (d) 64
  10. 10.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 37 (b) 36 (c) 33 (d) 65
  11. 11.What is the average of 39, 49, 44 and 24? (a) 52 (b) 39 (c) 40 (d) 38
  12. 12.What is the average of all the whole numbers from 56 to 74? (a) 65 (b) 9 (c) 66 (d) 18
  13. 13.What is the average of 62, 58, 47 and 77? (a) 63 (b) 60 (c) 61 (d) 62
  14. 14.What is the average of 25, 42, 33, 51 and 29? (a) 35 (b) 45 (c) 37 (d) 36
  15. 15.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 24 (b) 14 (c) 13 (d) 25
  16. 16.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 4 (b) 61 (c) 3 (d) 28
  17. 17.What is the average of all the whole numbers from 53 to 91? (a) 38 (b) 19 (c) 73 (d) 72
  18. 18.What is the average of 72, 72, 70, 80, 65 and 91? (a) 74 (b) 90 (c) 76 (d) 75
  19. 19.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 40 (c) 89 (d) 59
  20. 20.What is the average of all the whole numbers from 22 to 34? (a) 12 (b) 28 (c) 6 (d) 29
  21. 21.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 34 (b) 52 (c) 65 (d) 21
  22. 22.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 61 (b) 96 (c) 54 (d) 49
  23. 23.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 71 (b) 53 (c) 30 (d) 47
  24. 24.What is the average of all the whole numbers from 36 to 42? (a) 3 (b) 40 (c) 6 (d) 39
  25. 25.What is the average of all the whole numbers from 23 to 31? (a) 8 (b) 27 (c) 28 (d) 4
  26. 26.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 58 (b) 72 (c) 51 (d) 28
  27. 27.What is the average of 45, 46, 52 and 21? (a) 42 (b) 41 (c) 40 (d) 43
  28. 28.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 70 (b) 40 (c) 42 (d) 34
  29. 29.A batter has an average of 37 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 62 (b) 47 (c) 42 (d) 25
  30. 30.What is the average of all the whole numbers from 34 to 56? (a) 45 (b) 46 (c) 22 (d) 11
  31. 31.What is the average of 31, 42, 38 and 13? (a) 30 (b) 32 (c) 31 (d) 33
  32. 32.What is the average of all the whole numbers from 16 to 46? (a) 15 (b) 32 (c) 31 (d) 30
  33. 33.What is the average of 92, 74, 85 and 65? (a) 78 (b) 81 (c) 79 (d) 80
  34. 34.What is the average of all the whole numbers from 15 to 41? (a) 28 (b) 26 (c) 13 (d) 29
  35. 35.What is the average of all the whole numbers from 25 to 43? (a) 9 (b) 34 (c) 18 (d) 35
  36. 36.What is the average of 69, 53, 42, 44, 62 and 54? (a) 56 (b) 53 (c) 54 (d) 55
  37. 37.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 56 (b) 52 (c) 20 (d) 68
  38. 38.What is the average of 30, 34, 39, 51 and 61? (a) 44 (b) 43 (c) 42 (d) 45
  39. 39.What is the average of all the whole numbers from 55 to 81? (a) 26 (b) 69 (c) 68 (d) 13
  40. 40.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 46 (b) 12 (c) 55 (d) 89

Answer key

  1. 74
  2. 66
  3. 50
  4. 24
  5. 37
  6. 64
  7. 81
  8. 66
  9. 64
  10. 65
  11. 39
  12. 65
  13. 61
  14. 36
  15. 25
  16. 3
  17. 72
  18. 75
  19. 89
  20. 28
  21. 52
  22. 96
  23. 71
  24. 39
  25. 27
  26. 72
  27. 41
  28. 70
  29. 62
  30. 45
  31. 31
  32. 31
  33. 79
  34. 28
  35. 34
  36. 54
  37. 68
  38. 43
  39. 68
  40. 55

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