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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 40 · 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 43 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 51 (b) 79 (c) 36 (d) 47
  2. 2.What is the average of 63, 52, 54, 44 and 52? (a) 54 (b) 55 (c) 53 (d) 52
  3. 3.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 29 (c) 14 (d) 23
  4. 4.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 55 (b) 70 (c) 48 (d) 111
  5. 5.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 48 (b) 75 (c) 39 (d) 12
  6. 6.What is the average of 20, 13, 24, 33, 37 and 29? (a) 26 (b) 28 (c) 27 (d) 25
  7. 7.What is the average of 88, 70, 63, 84 and 65? (a) 75 (b) 73 (c) 76 (d) 74
  8. 8.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 38 (b) 20 (c) 53 (d) 71
  9. 9.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 37 (b) 38 (c) 47 (d) 96
  10. 10.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 66? (a) 74 (b) 66 (c) 114 (d) 56
  11. 11.What is the average of 52, 45, 45, 48, 54 and 86? (a) 55 (b) 54 (c) 56 (d) 66
  12. 12.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 17 (b) 16 (c) 76 (d) 36
  13. 13.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 54 (c) 42 (d) 18
  14. 14.What is the average of 47, 29, 34 and 42? (a) 38 (b) 37 (c) 40 (d) 39
  15. 15.What is the average of all the whole numbers from 6 to 36? (a) 30 (b) 15 (c) 22 (d) 21
  16. 16.What is the average of all the whole numbers from 44 to 56? (a) 6 (b) 50 (c) 12 (d) 51
  17. 17.What is the average of 31, 24, 38, 23, 35 and 65? (a) 35 (b) 36 (c) 37 (d) 38
  18. 18.What is the average of all the whole numbers from 5 to 41? (a) 24 (b) 18 (c) 23 (d) 36
  19. 19.What is the average of 43, 50, 30, 34, 43 and 40? (a) 40 (b) 39 (c) 41 (d) 48
  20. 20.What is the average of 49, 49, 56 and 30? (a) 48 (b) 45 (c) 47 (d) 46
  21. 21.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 50 (c) 35 (d) 75
  22. 22.What is the average of 59, 69, 59 and 89? (a) 70 (b) 68 (c) 92 (d) 69
  23. 23.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 25 (c) 15 (d) 14
  24. 24.What is the average of 62, 64, 79, 72, 60 and 83? (a) 70 (b) 84 (c) 71 (d) 69
  25. 25.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 41 (b) 66 (c) 30 (d) 77
  26. 26.What is the average of 66, 44, 55 and 47? (a) 53 (b) 52 (c) 54 (d) 55
  27. 27.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 65 (b) 58 (c) 93 (d) 42
  28. 28.What is the average of 72, 59, 80, 84 and 60? (a) 72 (b) 73 (c) 71 (d) 70
  29. 29.What is the average of 48, 52, 39, 40, 49 and 72? (a) 49 (b) 50 (c) 60 (d) 51
  30. 30.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 24 (b) 56 (c) 36 (d) 68
  31. 31.What is the average of 49, 76, 52, 49, 64 and 76? (a) 60 (b) 61 (c) 63 (d) 62
  32. 32.What is the average of 50, 58, 61 and 79? (a) 62 (b) 63 (c) 61 (d) 64
  33. 33.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 105 (b) 30 (c) 50 (d) 31
  34. 34.What is the average of all the whole numbers from 48 to 82? (a) 65 (b) 17 (c) 66 (d) 34
  35. 35.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 47 (c) 72 (d) 12
  36. 36.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 78 (c) 54 (d) 32
  37. 37.What is the average of 42, 39, 21, 43 and 20? (a) 35 (b) 32 (c) 34 (d) 33
  38. 38.What is the average of 53, 55, 47, 56, 51 and 98? (a) 72 (b) 60 (c) 59 (d) 61
  39. 39.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 65 (b) 28 (c) 32 (d) 27
  40. 40.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 32 (c) 44 (d) 16

Answer key

  1. 79
  2. 53
  3. 29
  4. 111
  5. 48
  6. 26
  7. 74
  8. 53
  9. 37
  10. 114
  11. 55
  12. 16
  13. 54
  14. 38
  15. 21
  16. 50
  17. 36
  18. 23
  19. 40
  20. 46
  21. 75
  22. 69
  23. 26
  24. 70
  25. 66
  26. 53
  27. 93
  28. 71
  29. 50
  30. 56
  31. 61
  32. 62
  33. 30
  34. 65
  35. 47
  36. 78
  37. 33
  38. 60
  39. 27
  40. 44

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