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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 886 · 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 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 28 (b) 32 (c) 53 (d) 39
  2. 2.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 50? (a) 68 (b) 24 (c) 50 (d) 56
  3. 3.What is the average of 24, 47, 28, 45 and 21? (a) 34 (b) 32 (c) 33 (d) 35
  4. 4.What is the average of 51, 23, 28 and 50? (a) 40 (b) 38 (c) 37 (d) 39
  5. 5.What is the average of 75, 90, 68, 61 and 81? (a) 76 (b) 75 (c) 74 (d) 77
  6. 6.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 36 (b) 24 (c) 69 (d) 57
  7. 7.What is the average of 57, 55, 70 and 66? (a) 61 (b) 63 (c) 64 (d) 62
  8. 8.What is the average of 18, 20, 27 and 67? (a) 34 (b) 33 (c) 44 (d) 32
  9. 9.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 47 (b) 23 (c) 17 (d) 16
  10. 10.What is the average of all the whole numbers from 26 to 48? (a) 22 (b) 11 (c) 38 (d) 37
  11. 11.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 16 (c) 72 (d) 51
  12. 12.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 57 (c) 65 (d) 12
  13. 13.What is the average of 39, 43, 43, 56 and 59? (a) 47 (b) 60 (c) 49 (d) 48
  14. 14.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 58 (b) 48 (c) 94 (d) 12
  15. 15.What is the average of 87, 89, 69 and 59? (a) 76 (b) 78 (c) 77 (d) 75
  16. 16.What is the average of 36, 17, 16 and 51? (a) 40 (b) 30 (c) 29 (d) 31
  17. 17.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 45? (a) 45 (b) 20 (c) 47 (d) 63
  18. 18.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 63 (b) 58 (c) 65 (d) 114
  19. 19.What is the average of all the whole numbers from 32 to 42? (a) 37 (b) 5 (c) 38 (d) 10
  20. 20.What is the average of 37, 38, 34, 39 and 97? (a) 48 (b) 51 (c) 50 (d) 49
  21. 21.What is the average of 61, 47, 76 and 60? (a) 61 (b) 60 (c) 62 (d) 63
  22. 22.What is the average of 69, 50, 64 and 53? (a) 61 (b) 59 (c) 60 (d) 58
  23. 23.What is the average of all the whole numbers from 19 to 35? (a) 16 (b) 8 (c) 27 (d) 28
  24. 24.What is the average of 35, 19, 48, 46 and 22? (a) 36 (b) 35 (c) 33 (d) 34
  25. 25.What is the average of 64, 73, 63, 55 and 60? (a) 64 (b) 63 (c) 65 (d) 62
  26. 26.What is the average of all the whole numbers from 56 to 74? (a) 9 (b) 65 (c) 66 (d) 18
  27. 27.What is the average of all the whole numbers from 37 to 77? (a) 40 (b) 20 (c) 58 (d) 57
  28. 28.What is the average of 35, 11, 28 and 22? (a) 23 (b) 32 (c) 24 (d) 25
  29. 29.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 86 (b) 8 (c) 50 (d) 44
  30. 30.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 30 (c) 72 (d) 48
  31. 31.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 47? (a) 51 (b) 47 (c) 83 (d) 40
  32. 32.What is the average of all the whole numbers from 54 to 94? (a) 40 (b) 75 (c) 20 (d) 74
  33. 33.What is the average of all the whole numbers from 41 to 53? (a) 12 (b) 48 (c) 6 (d) 47
  34. 34.What is the average of 59, 40, 52, 45, 56 and 30? (a) 46 (b) 47 (c) 48 (d) 49
  35. 35.What is the average of 38, 21, 39 and 30? (a) 34 (b) 31 (c) 32 (d) 33
  36. 36.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 29? (a) 31 (b) 20 (c) 29 (d) 47
  37. 37.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 7 (b) 8 (c) 53 (d) 25
  38. 38.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 42 (b) 93 (c) 46 (d) 43
  39. 39.What is the average of 36, 24, 18 and 14? (a) 23 (b) 24 (c) 22 (d) 25
  40. 40.What is the average of all the whole numbers from 57 to 85? (a) 14 (b) 71 (c) 72 (d) 28

Answer key

  1. 53
  2. 68
  3. 33
  4. 38
  5. 75
  6. 57
  7. 62
  8. 33
  9. 16
  10. 37
  11. 51
  12. 65
  13. 48
  14. 58
  15. 76
  16. 30
  17. 63
  18. 114
  19. 37
  20. 49
  21. 61
  22. 59
  23. 27
  24. 34
  25. 63
  26. 65
  27. 57
  28. 24
  29. 50
  30. 72
  31. 83
  32. 74
  33. 47
  34. 47
  35. 32
  36. 47
  37. 7
  38. 42
  39. 23
  40. 71

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