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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 879 · 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.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 33 (b) 27 (c) 24 (d) 12
  2. 2.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 39 (b) 6 (c) 44 (d) 77
  3. 3.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 77 (b) 11 (c) 12 (d) 36
  4. 4.What is the average of 68, 85, 68, 78, 86 and 65? (a) 75 (b) 90 (c) 74 (d) 76
  5. 5.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 33? (a) 41 (b) 97 (c) 33 (d) 72
  6. 6.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 31 (b) 30 (c) 105 (d) 50
  7. 7.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 32? (a) 37 (b) 25 (c) 32 (d) 52
  8. 8.What is the average of all the whole numbers from 14 to 50? (a) 33 (b) 32 (c) 18 (d) 36
  9. 9.What is the average of 56, 51, 40 and 45? (a) 47 (b) 49 (c) 64 (d) 48
  10. 10.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 39 (b) 4 (c) 5 (d) 83
  11. 11.What is the average of all the whole numbers from 16 to 22? (a) 19 (b) 3 (c) 20 (d) 6
  12. 12.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 77 (b) 7 (c) 36 (d) 6
  13. 13.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 30 (b) 5 (c) 14 (d) 4
  14. 14.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 53 (b) 31 (c) 18 (d) 40
  15. 15.What is the average of all the whole numbers from 33 to 51? (a) 9 (b) 18 (c) 43 (d) 42
  16. 16.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 16 (b) 58 (c) 86 (d) 44
  17. 17.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 29 (c) 14 (d) 39
  18. 18.What is the average of 33, 35, 35 and 57? (a) 42 (b) 39 (c) 40 (d) 41
  19. 19.What is the average of all the whole numbers from 53 to 89? (a) 36 (b) 72 (c) 71 (d) 18
  20. 20.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 48 (b) 49 (c) 57 (d) 89
  21. 21.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 20 (b) 4 (c) 23 (d) 39
  22. 22.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 68? (a) 80 (b) 140 (c) 76 (d) 68
  23. 23.What is the average of all the whole numbers from 54 to 68? (a) 7 (b) 62 (c) 61 (d) 14
  24. 24.What is the average of all the whole numbers from 14 to 40? (a) 27 (b) 26 (c) 13 (d) 28
  25. 25.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 21 (b) 27 (c) 55 (d) 20
  26. 26.What is the average of 9, 9, 37, 29, 19 and 35? (a) 25 (b) 22 (c) 23 (d) 24
  27. 27.What is the average of 28, 45, 34 and 49? (a) 52 (b) 40 (c) 39 (d) 38
  28. 28.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 38 (b) 62 (c) 72 (d) 28
  29. 29.What is the average of 51, 23, 30, 48 and 33? (a) 37 (b) 39 (c) 38 (d) 36
  30. 30.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 4 (b) 38 (c) 18 (d) 5
  31. 31.What is the average of 59, 44, 68, 42, 68 and 55? (a) 57 (b) 55 (c) 58 (d) 56
  32. 32.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 29 (b) 34 (c) 28 (d) 69
  33. 33.What is the average of 14, 22, 23, 32, 37 and 46? (a) 28 (b) 29 (c) 31 (d) 30
  34. 34.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 8 (b) 7 (c) 50 (d) 23
  35. 35.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 20 (b) 39 (c) 34 (d) 49
  36. 36.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 30 (b) 62 (c) 38 (d) 35
  37. 37.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 67 (b) 32 (c) 59 (d) 83
  38. 38.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 62 (c) 40 (d) 86
  39. 39.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 45? (a) 51 (b) 8 (c) 47 (d) 45
  40. 40.What is the average of 16, 38, 17, 18, 21 and 70? (a) 30 (b) 31 (c) 29 (d) 36

Answer key

  1. 33
  2. 44
  3. 11
  4. 75
  5. 97
  6. 30
  7. 52
  8. 32
  9. 48
  10. 4
  11. 19
  12. 6
  13. 4
  14. 53
  15. 42
  16. 58
  17. 39
  18. 40
  19. 71
  20. 89
  21. 23
  22. 140
  23. 61
  24. 27
  25. 20
  26. 23
  27. 39
  28. 62
  29. 37
  30. 4
  31. 56
  32. 28
  33. 29
  34. 7
  35. 49
  36. 62
  37. 83
  38. 86
  39. 51
  40. 30

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