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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 560 · 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 85, 85, 63, 74, 80 and 39? (a) 72 (b) 70 (c) 73 (d) 71
  2. 2.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 108 (b) 109 (c) 54 (d) 60
  3. 3.What is the average of 36, 35, 15, 19, 33 and 42? (a) 31 (b) 30 (c) 36 (d) 29
  4. 4.What is the average of 56, 59, 57 and 112? (a) 70 (b) 73 (c) 72 (d) 71
  5. 5.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 106 (b) 72 (c) 50 (d) 42
  6. 6.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 28 (c) 10 (d) 36
  7. 7.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 60 (b) 40 (c) 35 (d) 30
  8. 8.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 7 (b) 21 (c) 8 (d) 10
  9. 9.What is the average of 58, 83, 74 and 69? (a) 72 (b) 71 (c) 73 (d) 70
  10. 10.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 62 (b) 14 (c) 50 (d) 52
  11. 11.What is the average of 36, 22, 16, 28 and 33? (a) 28 (b) 26 (c) 29 (d) 27
  12. 12.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 4 (b) 21 (c) 11 (d) 14
  13. 13.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 67 (b) 59 (c) 115 (d) 64
  14. 14.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 50 (b) 62 (c) 96 (d) 16
  15. 15.What is the average of all the whole numbers from 14 to 24? (a) 10 (b) 19 (c) 20 (d) 5
  16. 16.What is the average of all the whole numbers from 17 to 49? (a) 16 (b) 32 (c) 33 (d) 34
  17. 17.What is the average of 87, 69, 62, 71, 76 and 85? (a) 90 (b) 74 (c) 76 (d) 75
  18. 18.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 43 (b) 85 (c) 5 (d) 47
  19. 19.What is the average of all the whole numbers from 42 to 78? (a) 61 (b) 36 (c) 60 (d) 18
  20. 20.What is the average of 49, 51, 66 and 58? (a) 56 (b) 58 (c) 57 (d) 55
  21. 21.What is the average of 48, 70, 66 and 40? (a) 55 (b) 56 (c) 57 (d) 58
  22. 22.What is the average of 46, 28, 29 and 41? (a) 37 (b) 35 (c) 36 (d) 48
  23. 23.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 72 (b) 40 (c) 32 (d) 96
  24. 24.What is the average of 80, 71, 90, 79, 66 and 88? (a) 81 (b) 79 (c) 78 (d) 80
  25. 25.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 78 (b) 38 (c) 29 (d) 28
  26. 26.What is the average of 39, 37, 37 and 55? (a) 41 (b) 56 (c) 42 (d) 43
  27. 27.What is the average of 61, 36, 56 and 31? (a) 48 (b) 45 (c) 46 (d) 47
  28. 28.What is the average of 62, 79, 58, 63, 70 and 100? (a) 72 (b) 74 (c) 73 (d) 71
  29. 29.What is the average of 33, 22, 12 and 13? (a) 20 (b) 19 (c) 21 (d) 22
  30. 30.What is the average of all the whole numbers from 14 to 54? (a) 34 (b) 40 (c) 35 (d) 20
  31. 31.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 53? (a) 53 (b) 64 (c) 61 (d) 109
  32. 32.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 39 (b) 50 (c) 103 (d) 38
  33. 33.What is the average of all the whole numbers from 5 to 29? (a) 17 (b) 24 (c) 12 (d) 18
  34. 34.What is the average of all the whole numbers from 37 to 59? (a) 11 (b) 49 (c) 48 (d) 22
  35. 35.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 73 (b) 35 (c) 14 (d) 15
  36. 36.What is the average of 66, 54, 55, 65 and 85? (a) 66 (b) 67 (c) 65 (d) 64
  37. 37.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 24 (b) 16 (c) 20 (d) 12
  38. 38.What is the average of 58, 81, 81 and 52? (a) 70 (b) 67 (c) 68 (d) 69
  39. 39.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 12 (b) 63 (c) 61 (d) 71
  40. 40.What is the average of all the whole numbers from 36 to 74? (a) 38 (b) 56 (c) 55 (d) 19

Answer key

  1. 71
  2. 108
  3. 30
  4. 71
  5. 106
  6. 36
  7. 60
  8. 7
  9. 71
  10. 62
  11. 27
  12. 14
  13. 115
  14. 62
  15. 19
  16. 33
  17. 75
  18. 47
  19. 60
  20. 56
  21. 56
  22. 36
  23. 96
  24. 79
  25. 28
  26. 42
  27. 46
  28. 72
  29. 20
  30. 34
  31. 109
  32. 38
  33. 17
  34. 48
  35. 14
  36. 65
  37. 24
  38. 68
  39. 71
  40. 55

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