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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 707 · 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 33 to 65? (a) 50 (b) 32 (c) 49 (d) 16
  2. 2.What is the average of 73, 48, 65 and 50? (a) 60 (b) 61 (c) 59 (d) 58
  3. 3.What is the average of all the whole numbers from 56 to 64? (a) 61 (b) 60 (c) 8 (d) 4
  4. 4.What is the average of all the whole numbers from 48 to 54? (a) 52 (b) 6 (c) 51 (d) 3
  5. 5.What is the average of all the whole numbers from 55 to 89? (a) 73 (b) 34 (c) 17 (d) 72
  6. 6.What is the average of 28, 28, 27 and 57? (a) 36 (b) 34 (c) 35 (d) 37
  7. 7.What is the average of all the whole numbers from 28 to 66? (a) 38 (b) 48 (c) 19 (d) 47
  8. 8.What is the average of all the whole numbers from 44 to 76? (a) 32 (b) 60 (c) 16 (d) 61
  9. 9.What is the average of 30, 13, 24, 29, 22 and 50? (a) 27 (b) 28 (c) 30 (d) 29
  10. 10.What is the average of all the whole numbers from 41 to 53? (a) 47 (b) 12 (c) 6 (d) 48
  11. 11.What is the average of all the whole numbers from 15 to 21? (a) 19 (b) 6 (c) 3 (d) 18
  12. 12.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 54 (b) 24 (c) 43 (d) 35
  13. 13.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 48 (b) 94 (c) 58 (d) 12
  14. 14.What is the average of all the whole numbers from 20 to 34? (a) 27 (b) 7 (c) 14 (d) 28
  15. 15.What is the average of all the whole numbers from 60 to 94? (a) 17 (b) 78 (c) 77 (d) 34
  16. 16.What is the average of all the whole numbers from 41 to 65? (a) 24 (b) 12 (c) 53 (d) 54
  17. 17.What is the average of all the whole numbers from 38 to 60? (a) 11 (b) 22 (c) 50 (d) 49
  18. 18.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 55? (a) 21 (b) 73 (c) 55 (d) 58
  19. 19.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 40 (b) 22 (c) 41 (d) 21
  20. 20.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 10 (b) 30 (c) 65 (d) 11
  21. 21.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 30 (b) 42 (c) 66 (d) 39
  22. 22.What is the average of all the whole numbers from 38 to 50? (a) 6 (b) 45 (c) 12 (d) 44
  23. 23.What is the average of 48, 54, 36 and 42? (a) 46 (b) 44 (c) 45 (d) 60
  24. 24.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 59 (c) 52 (d) 31
  25. 25.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 36 (c) 68 (d) 38
  26. 26.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 19 (b) 20 (c) 34 (d) 71
  27. 27.What is the average of 60, 64, 56, 72 and 58? (a) 64 (b) 62 (c) 61 (d) 63
  28. 28.What is the average of 38, 34, 24 and 40? (a) 35 (b) 33 (c) 36 (d) 34
  29. 29.What is the average of all the whole numbers from 7 to 45? (a) 19 (b) 26 (c) 38 (d) 27
  30. 30.What is the average of all the whole numbers from 25 to 59? (a) 17 (b) 34 (c) 42 (d) 43
  31. 31.What is the average of all the whole numbers from 11 to 27? (a) 16 (b) 19 (c) 20 (d) 8
  32. 32.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 50 (b) 96 (c) 62 (d) 16
  33. 33.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 76 (b) 74 (c) 40 (d) 75
  34. 34.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 41 (b) 30 (c) 27 (d) 16
  35. 35.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 44 (b) 38 (c) 56 (d) 24
  36. 36.What is the average of all the whole numbers from 54 to 70? (a) 63 (b) 8 (c) 16 (d) 62
  37. 37.What is the average of 43, 24, 27, 39, 27 and 8? (a) 27 (b) 30 (c) 29 (d) 28
  38. 38.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 71 (b) 57 (c) 18 (d) 55
  39. 39.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 45 (b) 8 (c) 75 (d) 38
  40. 40.What is the average of 37, 43, 38 and 26? (a) 37 (b) 48 (c) 35 (d) 36

Answer key

  1. 49
  2. 59
  3. 60
  4. 51
  5. 72
  6. 35
  7. 47
  8. 60
  9. 28
  10. 47
  11. 18
  12. 54
  13. 58
  14. 27
  15. 77
  16. 53
  17. 49
  18. 73
  19. 40
  20. 10
  21. 66
  22. 44
  23. 45
  24. 52
  25. 68
  26. 19
  27. 62
  28. 34
  29. 26
  30. 42
  31. 19
  32. 62
  33. 75
  34. 41
  35. 56
  36. 62
  37. 28
  38. 71
  39. 45
  40. 36

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