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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 18 · 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 44, 56, 52, 40 and 68? (a) 53 (b) 51 (c) 52 (d) 65
  2. 2.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 81 (b) 18 (c) 38 (d) 19
  3. 3.What is the average of all the whole numbers from 41 to 61? (a) 10 (b) 51 (c) 52 (d) 20
  4. 4.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 73 (b) 49 (c) 30 (d) 46
  5. 5.What is the average of all the whole numbers from 31 to 53? (a) 22 (b) 11 (c) 43 (d) 42
  6. 6.What is the average of 55, 71, 67, 59 and 43? (a) 59 (b) 61 (c) 58 (d) 60
  7. 7.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 21 (b) 10 (c) 9 (d) 46
  8. 8.What is the average of 70, 70, 83 and 81? (a) 77 (b) 75 (c) 76 (d) 78
  9. 9.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 74 (b) 29 (c) 34 (d) 50
  10. 10.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 66? (a) 72 (b) 90 (c) 30 (d) 66
  11. 11.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 31 (c) 67 (d) 40
  12. 12.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 24 (b) 66 (c) 72 (d) 84
  13. 13.What is the average of all the whole numbers from 57 to 73? (a) 8 (b) 65 (c) 16 (d) 66
  14. 14.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 35? (a) 12 (b) 44 (c) 38 (d) 35
  15. 15.What is the average of 47, 53, 63, 52 and 25? (a) 60 (b) 48 (c) 47 (d) 49
  16. 16.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 67 (c) 91 (d) 40
  17. 17.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 59 (b) 63 (c) 30 (d) 34
  18. 18.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 61 (b) 30 (c) 58 (d) 85
  19. 19.What is the average of all the whole numbers from 6 to 20? (a) 13 (b) 14 (c) 7 (d) 12
  20. 20.What is the average of 76, 59, 67 and 82? (a) 73 (b) 71 (c) 70 (d) 72
  21. 21.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 6 (b) 30 (c) 5 (d) 65
  22. 22.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 96 (b) 61 (c) 68 (d) 42
  23. 23.What is the average of 39, 32, 54, 46, 41 and 58? (a) 46 (b) 54 (c) 45 (d) 44
  24. 24.What is the average of 53, 50, 47, 43 and 52? (a) 48 (b) 49 (c) 51 (d) 50
  25. 25.What is the average of all the whole numbers from 35 to 67? (a) 52 (b) 51 (c) 16 (d) 32
  26. 26.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 36 (b) 56 (c) 32 (d) 26
  27. 27.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 87 (b) 6 (c) 7 (d) 41
  28. 28.What is the average of all the whole numbers from 22 to 54? (a) 16 (b) 38 (c) 39 (d) 32
  29. 29.What is the average of 73, 49, 74 and 48? (a) 60 (b) 63 (c) 62 (d) 61
  30. 30.What is the average of 42, 56, 46, 54 and 42? (a) 48 (b) 60 (c) 47 (d) 49
  31. 31.What is the average of all the whole numbers from 15 to 33? (a) 9 (b) 18 (c) 25 (d) 24
  32. 32.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 42? (a) 70 (b) 42 (c) 49 (d) 105
  33. 33.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 46 (c) 10 (d) 54
  34. 34.What is the average of all the whole numbers from 48 to 72? (a) 12 (b) 24 (c) 61 (d) 60
  35. 35.What is the average of 30, 43, 52, 34, 42 and 21? (a) 38 (b) 37 (c) 39 (d) 36
  36. 36.What is the average of 54, 61, 46 and 79? (a) 80 (b) 61 (c) 59 (d) 60
  37. 37.What is the average of 70, 77, 50, 57 and 66? (a) 64 (b) 65 (c) 80 (d) 63
  38. 38.What is the average of all the whole numbers from 14 to 28? (a) 21 (b) 14 (c) 7 (d) 22
  39. 39.What is the average of 80, 62, 66, 70, 80 and 86? (a) 76 (b) 75 (c) 73 (d) 74
  40. 40.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 43 (b) 64 (c) 24 (d) 83

Answer key

  1. 52
  2. 18
  3. 51
  4. 73
  5. 42
  6. 59
  7. 9
  8. 76
  9. 74
  10. 90
  11. 67
  12. 84
  13. 65
  14. 44
  15. 48
  16. 91
  17. 59
  18. 85
  19. 13
  20. 71
  21. 5
  22. 96
  23. 45
  24. 49
  25. 51
  26. 56
  27. 6
  28. 38
  29. 61
  30. 48
  31. 24
  32. 105
  33. 54
  34. 60
  35. 37
  36. 60
  37. 64
  38. 21
  39. 74
  40. 64

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