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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 576 · 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 78, 83, 94, 71, 84 and 70? (a) 79 (b) 96 (c) 81 (d) 80
  2. 2.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 27 (b) 26 (c) 97 (d) 47
  3. 3.What is the average of all the whole numbers from 28 to 60? (a) 16 (b) 44 (c) 32 (d) 45
  4. 4.What is the average of all the whole numbers from 45 to 65? (a) 10 (b) 55 (c) 20 (d) 56
  5. 5.What is the average of all the whole numbers from 33 to 73? (a) 53 (b) 20 (c) 40 (d) 54
  6. 6.What is the average of 55, 72, 82, 57 and 79? (a) 69 (b) 71 (c) 70 (d) 68
  7. 7.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 71 (c) 49 (d) 36
  8. 8.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 69 (b) 44 (c) 30 (d) 83
  9. 9.What is the average of all the whole numbers from 32 to 50? (a) 18 (b) 41 (c) 42 (d) 9
  10. 10.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 12 (b) 17 (c) 27 (d) 32
  11. 11.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 25 (b) 26 (c) 15 (d) 14
  12. 12.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 24 (b) 56 (c) 67 (d) 35
  13. 13.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 84 (b) 40 (c) 24 (d) 25
  14. 14.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 36 (c) 57 (d) 33
  15. 15.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 91 (b) 43 (c) 54 (d) 49
  16. 16.What is the average of all the whole numbers from 36 to 62? (a) 13 (b) 49 (c) 50 (d) 26
  17. 17.What is the average of 63, 72, 71 and 50? (a) 64 (b) 66 (c) 65 (d) 63
  18. 18.What is the average of 27, 23, 31 and 71? (a) 37 (b) 40 (c) 39 (d) 38
  19. 19.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 40 (b) 16 (c) 78 (d) 54
  20. 20.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 19 (b) 25 (c) 7 (d) 37
  21. 21.What is the average of all the whole numbers from 10 to 20? (a) 10 (b) 5 (c) 15 (d) 16
  22. 22.What is the average of 14, 28, 36, 32 and 30? (a) 29 (b) 35 (c) 28 (d) 27
  23. 23.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 34 (b) 54 (c) 64 (d) 24
  24. 24.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 65? (a) 42 (b) 72 (c) 100 (d) 65
  25. 25.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 35 (b) 5 (c) 69 (d) 39
  26. 26.What is the average of all the whole numbers from 37 to 57? (a) 47 (b) 10 (c) 48 (d) 20
  27. 27.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 75 (c) 63 (d) 18
  28. 28.What is the average of 57, 57, 46, 62 and 78? (a) 59 (b) 75 (c) 61 (d) 60
  29. 29.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 35 (b) 12 (c) 26 (d) 29
  30. 30.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 33 (b) 27 (c) 30 (d) 54
  31. 31.What is the average of 14, 31, 16, 31, 25 and 9? (a) 21 (b) 23 (c) 22 (d) 20
  32. 32.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 4 (b) 95 (c) 51 (d) 48
  33. 33.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 72 (b) 47 (c) 35 (d) 42
  34. 34.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 93 (b) 48 (c) 63 (d) 18
  35. 35.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 80 (b) 51 (c) 115 (d) 43
  36. 36.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 46? (a) 8 (b) 48 (c) 52 (d) 46
  37. 37.What is the average of 54, 41, 47, 38, 58 and 50? (a) 47 (b) 48 (c) 49 (d) 50
  38. 38.What is the average of all the whole numbers from 57 to 89? (a) 73 (b) 74 (c) 16 (d) 32
  39. 39.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 8 (b) 40 (c) 27 (d) 21
  40. 40.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 100 (b) 39 (c) 49 (d) 40

Answer key

  1. 80
  2. 26
  3. 44
  4. 55
  5. 53
  6. 69
  7. 71
  8. 69
  9. 41
  10. 27
  11. 26
  12. 56
  13. 24
  14. 57
  15. 91
  16. 49
  17. 64
  18. 38
  19. 54
  20. 25
  21. 15
  22. 28
  23. 54
  24. 100
  25. 39
  26. 47
  27. 75
  28. 60
  29. 35
  30. 54
  31. 21
  32. 51
  33. 72
  34. 63
  35. 115
  36. 52
  37. 48
  38. 73
  39. 27
  40. 39

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