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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 748 · 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 43 to 73? (a) 59 (b) 58 (c) 15 (d) 30
  2. 2.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 13 (b) 30 (c) 38 (d) 21
  3. 3.What is the average of 80, 54, 68, 60, 80 and 72? (a) 69 (b) 68 (c) 70 (d) 71
  4. 4.What is the average of all the whole numbers from 20 to 36? (a) 8 (b) 28 (c) 29 (d) 16
  5. 5.What is the average of all the whole numbers from 13 to 19? (a) 3 (b) 6 (c) 17 (d) 16
  6. 6.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 97 (b) 46 (c) 27 (d) 26
  7. 7.What is the average of all the whole numbers from 21 to 55? (a) 39 (b) 17 (c) 38 (d) 34
  8. 8.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 63 (b) 87 (c) 45 (d) 21
  9. 9.What is the average of all the whole numbers from 12 to 38? (a) 24 (b) 26 (c) 25 (d) 13
  10. 10.What is the average of 52, 62, 41 and 65? (a) 56 (b) 54 (c) 57 (d) 55
  11. 11.What is the average of 32, 22, 27 and 35? (a) 31 (b) 28 (c) 29 (d) 30
  12. 12.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 65 (b) 35 (c) 36 (d) 41
  13. 13.What is the average of all the whole numbers from 56 to 84? (a) 14 (b) 71 (c) 28 (d) 70
  14. 14.What is the average of all the whole numbers from 35 to 65? (a) 15 (b) 51 (c) 30 (d) 50
  15. 15.What is the average of 49, 46, 29 and 36? (a) 41 (b) 42 (c) 39 (d) 40
  16. 16.What is the average of 36, 42, 64, 55 and 48? (a) 51 (b) 50 (c) 49 (d) 48
  17. 17.What is the average of 68, 46, 55 and 55? (a) 55 (b) 58 (c) 56 (d) 57
  18. 18.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 28 (b) 50 (c) 57 (d) 71
  19. 19.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 43 (b) 22 (c) 89 (d) 23
  20. 20.What is the average of all the whole numbers from 33 to 47? (a) 41 (b) 40 (c) 14 (d) 7
  21. 21.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 61 (c) 73 (d) 24
  22. 22.What is the average of 73, 75, 72 and 100? (a) 79 (b) 82 (c) 81 (d) 80
  23. 23.What is the average of 64, 70, 65, 42 and 39? (a) 70 (b) 56 (c) 57 (d) 55
  24. 24.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 48 (b) 42 (c) 74 (d) 34
  25. 25.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 15 (c) 42 (d) 33
  26. 26.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 63 (b) 47 (c) 20 (d) 90
  27. 27.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 44 (b) 23 (c) 91 (d) 24
  28. 28.What is the average of all the whole numbers from 17 to 39? (a) 11 (b) 22 (c) 28 (d) 29
  29. 29.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 54 (b) 47 (c) 103 (d) 63
  30. 30.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 59 (b) 30 (c) 57 (d) 32
  31. 31.What is the average of 28, 26, 12 and 18? (a) 22 (b) 28 (c) 20 (d) 21
  32. 32.What is the average of all the whole numbers from 16 to 24? (a) 8 (b) 21 (c) 4 (d) 20
  33. 33.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 83 (c) 68 (d) 25
  34. 34.What is the average of 28, 25, 35, 23, 46 and 59? (a) 38 (b) 37 (c) 36 (d) 35
  35. 35.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 37 (b) 102 (c) 50 (d) 36
  36. 36.What is the average of 37, 9, 17, 12 and 40? (a) 24 (b) 23 (c) 25 (d) 22
  37. 37.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 27 (c) 18 (d) 43
  38. 38.What is the average of 37, 7, 25 and 19? (a) 21 (b) 23 (c) 22 (d) 24
  39. 39.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 13 (b) 27 (c) 7 (d) 8
  40. 40.What is the average of 24, 39, 34 and 43? (a) 34 (b) 35 (c) 37 (d) 36

Answer key

  1. 58
  2. 38
  3. 69
  4. 28
  5. 16
  6. 26
  7. 38
  8. 63
  9. 25
  10. 55
  11. 29
  12. 65
  13. 70
  14. 50
  15. 40
  16. 49
  17. 56
  18. 71
  19. 22
  20. 40
  21. 73
  22. 80
  23. 56
  24. 74
  25. 42
  26. 63
  27. 23
  28. 28
  29. 103
  30. 57
  31. 21
  32. 20
  33. 83
  34. 36
  35. 36
  36. 23
  37. 43
  38. 22
  39. 7
  40. 35

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