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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 812 · 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 70, 42, 47, 65, 62 and 56? (a) 56 (b) 57 (c) 58 (d) 59
  2. 2.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 57 (b) 25 (c) 51 (d) 31
  3. 3.What is the average of 50, 28, 34, 27, 40 and 61? (a) 39 (b) 48 (c) 41 (d) 40
  4. 4.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 42 (b) 94 (c) 59 (d) 66
  5. 5.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 18 (b) 29 (c) 25 (d) 14
  6. 6.What is the average of 34, 21, 22 and 15? (a) 22 (b) 25 (c) 23 (d) 24
  7. 7.What is the average of 32, 18, 14, 29 and 17? (a) 24 (b) 21 (c) 22 (d) 23
  8. 8.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 27 (b) 60 (c) 81 (d) 57
  9. 9.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 37 (b) 33 (c) 61 (d) 32
  10. 10.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 21 (b) 29 (c) 11 (d) 19
  11. 11.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 28 (b) 57 (c) 22 (d) 23
  12. 12.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 59 (c) 48 (d) 91
  13. 13.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 69 (b) 34 (c) 40 (d) 39
  14. 14.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 51 (b) 44 (c) 87 (d) 8
  15. 15.What is the average of 54, 42, 47, 37, 27 and 45? (a) 43 (b) 44 (c) 41 (d) 42
  16. 16.What is the average of 11, 33, 37, 18, 33 and 6? (a) 25 (b) 24 (c) 23 (d) 22
  17. 17.What is the average of 86, 70, 79, 63, 79 and 85? (a) 78 (b) 76 (c) 77 (d) 79
  18. 18.What is the average of 35, 24, 37 and 16? (a) 29 (b) 27 (c) 28 (d) 30
  19. 19.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) 20 (d) 55
  20. 20.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 28 (c) 62 (d) 38
  21. 21.What is the average of all the whole numbers from 28 to 42? (a) 14 (b) 7 (c) 35 (d) 36
  22. 22.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 32 (b) 22 (c) 13 (d) 41
  23. 23.What is the average of 51, 34, 48 and 43? (a) 45 (b) 43 (c) 44 (d) 46
  24. 24.What is the average of 16, 35, 32, 33 and 39? (a) 30 (b) 32 (c) 33 (d) 31
  25. 25.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 80 (b) 40 (c) 45 (d) 85
  26. 26.What is the average of 32, 24, 12, 8, 9 and 35? (a) 24 (b) 20 (c) 19 (d) 21
  27. 27.What is the average of 47, 59, 40, 44, 50 and 48? (a) 47 (b) 48 (c) 49 (d) 50
  28. 28.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 8 (b) 45 (c) 88 (d) 51
  29. 29.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 60? (a) 12 (b) 62 (c) 60 (d) 70
  30. 30.What is the average of 40, 48, 35 and 21? (a) 36 (b) 35 (c) 48 (d) 37
  31. 31.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 51 (b) 6 (c) 91 (d) 46
  32. 32.What is the average of 63, 48, 60, 48 and 56? (a) 56 (b) 55 (c) 57 (d) 54
  33. 33.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 10 (b) 8 (c) 19 (d) 17
  34. 34.What is the average of 71, 59, 66, 45, 46 and 55? (a) 59 (b) 58 (c) 56 (d) 57
  35. 35.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 35 (b) 47 (c) 33 (d) 16
  36. 36.What is the average of all the whole numbers from 31 to 41? (a) 10 (b) 37 (c) 36 (d) 5
  37. 37.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 56 (c) 72 (d) 32
  38. 38.What is the average of 39, 49, 56, 48, 41 and 91? (a) 56 (b) 53 (c) 55 (d) 54
  39. 39.What is the average of all the whole numbers from 8 to 26? (a) 16 (b) 17 (c) 18 (d) 9
  40. 40.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 27 (b) 47 (c) 44 (d) 68

Answer key

  1. 57
  2. 51
  3. 40
  4. 94
  5. 29
  6. 23
  7. 22
  8. 81
  9. 61
  10. 29
  11. 22
  12. 91
  13. 69
  14. 51
  15. 42
  16. 23
  17. 77
  18. 28
  19. 20
  20. 62
  21. 35
  22. 41
  23. 44
  24. 31
  25. 80
  26. 20
  27. 48
  28. 51
  29. 70
  30. 36
  31. 51
  32. 55
  33. 17
  34. 57
  35. 47
  36. 36
  37. 72
  38. 54
  39. 17
  40. 68

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