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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 518 · 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 57, 57, 64, 62 and 35? (a) 56 (b) 57 (c) 54 (d) 55
  2. 2.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 80 (c) 60 (d) 28
  3. 3.What is the average of all the whole numbers from 21 to 27? (a) 25 (b) 6 (c) 24 (d) 3
  4. 4.What is the average of 58, 78, 68, 74 and 62? (a) 67 (b) 85 (c) 68 (d) 69
  5. 5.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 19 (b) 5 (c) 4 (d) 43
  6. 6.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 16 (b) 24 (c) 28 (d) 36
  7. 7.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 68 (b) 59 (c) 62 (d) 12
  8. 8.What is the average of 31, 39, 43, 22 and 10? (a) 28 (b) 31 (c) 30 (d) 29
  9. 9.What is the average of all the whole numbers from 35 to 71? (a) 18 (b) 36 (c) 54 (d) 53
  10. 10.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 13 (b) 12 (c) 99 (d) 47
  11. 11.What is the average of all the whole numbers from 45 to 71? (a) 26 (b) 59 (c) 58 (d) 13
  12. 12.What is the average of all the whole numbers from 58 to 80? (a) 70 (b) 11 (c) 22 (d) 69
  13. 13.What is the average of 56, 37, 37, 44, 45 and 33? (a) 44 (b) 43 (c) 41 (d) 42
  14. 14.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 48 (c) 69 (d) 24
  15. 15.What is the average of 42, 46, 47, 71 and 74? (a) 70 (b) 57 (c) 55 (d) 56
  16. 16.What is the average of 32, 18, 34, 15, 21 and 48? (a) 29 (b) 30 (c) 28 (d) 27
  17. 17.What is the average of 13, 30, 17, 35 and 15? (a) 21 (b) 22 (c) 24 (d) 23
  18. 18.What is the average of 51, 62, 52, 45 and 85? (a) 60 (b) 61 (c) 59 (d) 58
  19. 19.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 101 (c) 46 (d) 47
  20. 20.What is the average of all the whole numbers from 32 to 38? (a) 6 (b) 36 (c) 35 (d) 3
  21. 21.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 92 (c) 71 (d) 35
  22. 22.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 10 (b) 22 (c) 24 (d) 30
  23. 23.What is the average of 62, 41, 47, 40 and 60? (a) 50 (b) 49 (c) 52 (d) 51
  24. 24.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 80 (b) 57 (c) 65 (d) 129
  25. 25.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 36 (c) 22 (d) 16
  26. 26.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 82 (b) 30 (c) 31 (d) 40
  27. 27.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 63 (b) 16 (c) 71 (d) 59
  28. 28.What is the average of all the whole numbers from 26 to 48? (a) 11 (b) 38 (c) 22 (d) 37
  29. 29.What is the average of 35, 16, 20 and 53? (a) 30 (b) 32 (c) 33 (d) 31
  30. 30.What is the average of 72, 74, 74, 56, 54 and 84? (a) 68 (b) 69 (c) 71 (d) 70
  31. 31.What is the average of 86, 87, 79 and 36? (a) 71 (b) 96 (c) 72 (d) 73
  32. 32.What is the average of 47, 34, 46, 53 and 40? (a) 43 (b) 55 (c) 44 (d) 45
  33. 33.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 64 (b) 33 (c) 10 (d) 41
  34. 34.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 31 (b) 36 (c) 14 (d) 19
  35. 35.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 31 (c) 50 (d) 71
  36. 36.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 26 (b) 48 (c) 38 (d) 16
  37. 37.What is the average of 34, 45, 46, 47 and 28? (a) 39 (b) 50 (c) 41 (d) 40
  38. 38.What is the average of 83, 78, 91, 65, 91 and 48? (a) 78 (b) 77 (c) 75 (d) 76
  39. 39.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 63 (b) 31 (c) 28 (d) 27
  40. 40.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 36 (b) 42 (c) 29 (d) 64

Answer key

  1. 55
  2. 80
  3. 24
  4. 68
  5. 4
  6. 36
  7. 68
  8. 29
  9. 53
  10. 12
  11. 58
  12. 69
  13. 42
  14. 69
  15. 56
  16. 28
  17. 22
  18. 59
  19. 46
  20. 35
  21. 92
  22. 30
  23. 50
  24. 129
  25. 36
  26. 30
  27. 71
  28. 37
  29. 31
  30. 69
  31. 72
  32. 44
  33. 41
  34. 31
  35. 71
  36. 38
  37. 40
  38. 76
  39. 27
  40. 64

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