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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 296 · 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 58 to 64? (a) 62 (b) 61 (c) 6 (d) 3
  2. 2.What is the average of 42, 39, 21, 37 and 21? (a) 31 (b) 32 (c) 40 (d) 33
  3. 3.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 8 (b) 64 (c) 39 (d) 33
  4. 4.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 34 (b) 54 (c) 29 (d) 30
  5. 5.What is the average of 72, 70, 71 and 107? (a) 80 (b) 82 (c) 81 (d) 79
  6. 6.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 44 (c) 5 (d) 4
  7. 7.What is the average of all the whole numbers from 47 to 65? (a) 57 (b) 9 (c) 18 (d) 56
  8. 8.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 63 (b) 61 (c) 71 (d) 12
  9. 9.What is the average of all the whole numbers from 27 to 51? (a) 40 (b) 24 (c) 12 (d) 39
  10. 10.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 91 (b) 45 (c) 39 (d) 38
  11. 11.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 51 (c) 64 (d) 99
  12. 12.What is the average of 34, 17, 41, 32 and 16? (a) 28 (b) 35 (c) 27 (d) 29
  13. 13.What is the average of all the whole numbers from 19 to 49? (a) 30 (b) 34 (c) 35 (d) 15
  14. 14.What is the average of all the whole numbers from 8 to 38? (a) 15 (b) 24 (c) 23 (d) 30
  15. 15.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 30 (b) 45 (c) 17 (d) 32
  16. 16.What is the average of 11, 15, 36 and 22? (a) 20 (b) 28 (c) 21 (d) 22
  17. 17.What is the average of all the whole numbers from 27 to 65? (a) 38 (b) 19 (c) 46 (d) 47
  18. 18.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 47 (c) 77 (d) 42
  19. 19.What is the average of 43, 36, 36, 27, 24 and 14? (a) 30 (b) 31 (c) 36 (d) 29
  20. 20.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 40 (c) 49 (d) 81
  21. 21.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 31 (b) 15 (c) 20 (d) 26
  22. 22.What is the average of 30, 39, 41, 26 and 34? (a) 36 (b) 33 (c) 34 (d) 35
  23. 23.What is the average of 75, 73, 73 and 55? (a) 70 (b) 69 (c) 68 (d) 92
  24. 24.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 73 (b) 38 (c) 18 (d) 53
  25. 25.What is the average of all the whole numbers from 21 to 37? (a) 30 (b) 16 (c) 29 (d) 8
  26. 26.What is the average of 85, 67, 88, 86 and 74? (a) 100 (b) 81 (c) 79 (d) 80
  27. 27.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 79 (b) 43 (c) 4 (d) 40
  28. 28.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 26 (b) 12 (c) 2 (d) 3
  29. 29.What is the average of all the whole numbers from 30 to 58? (a) 14 (b) 28 (c) 45 (d) 44
  30. 30.What is the average of all the whole numbers from 56 to 80? (a) 24 (b) 12 (c) 69 (d) 68
  31. 31.What is the average of all the whole numbers from 9 to 39? (a) 24 (b) 15 (c) 25 (d) 30
  32. 32.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 29 (b) 53 (c) 44 (d) 20
  33. 33.What is the average of 18, 37, 25, 35, 18 and 41? (a) 28 (b) 31 (c) 29 (d) 30
  34. 34.What is the average of 41, 33, 33 and 25? (a) 34 (b) 32 (c) 44 (d) 33
  35. 35.What is the average of all the whole numbers from 25 to 31? (a) 3 (b) 6 (c) 28 (d) 29
  36. 36.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 74 (b) 36 (c) 30 (d) 31
  37. 37.What is the average of all the whole numbers from 43 to 59? (a) 52 (b) 51 (c) 8 (d) 16
  38. 38.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 32 (b) 38 (c) 14 (d) 20
  39. 39.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 92 (b) 68 (c) 62 (d) 36
  40. 40.What is the average of 32, 36, 27, 18 and 7? (a) 23 (b) 30 (c) 25 (d) 24

Answer key

  1. 61
  2. 32
  3. 39
  4. 54
  5. 80
  6. 4
  7. 56
  8. 71
  9. 39
  10. 38
  11. 99
  12. 28
  13. 34
  14. 23
  15. 45
  16. 21
  17. 46
  18. 77
  19. 30
  20. 81
  21. 31
  22. 34
  23. 69
  24. 53
  25. 29
  26. 80
  27. 43
  28. 2
  29. 44
  30. 68
  31. 24
  32. 44
  33. 29
  34. 33
  35. 28
  36. 30
  37. 51
  38. 32
  39. 92
  40. 24

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