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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 257 · 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 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 65 (c) 89 (d) 36
  2. 2.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 31 (b) 11 (c) 15 (d) 10
  3. 3.What is the average of 9, 19, 18, 14, 24 and 42? (a) 22 (b) 23 (c) 20 (d) 21
  4. 4.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 71 (b) 36 (c) 39 (d) 4
  5. 5.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 41 (b) 17 (c) 86 (d) 18
  6. 6.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 27 (b) 72 (c) 35 (d) 28
  7. 7.What is the average of 67, 85, 65 and 83? (a) 75 (b) 74 (c) 76 (d) 100
  8. 8.What is the average of all the whole numbers from 14 to 24? (a) 5 (b) 19 (c) 20 (d) 10
  9. 9.What is the average of 56, 61, 52 and 55? (a) 55 (b) 57 (c) 58 (d) 56
  10. 10.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 40 (b) 32 (c) 88 (d) 64
  11. 11.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 43? (a) 61 (b) 21 (c) 43 (d) 46
  12. 12.What is the average of 31, 51, 52 and 46? (a) 45 (b) 46 (c) 60 (d) 44
  13. 13.What is the average of all the whole numbers from 44 to 68? (a) 57 (b) 24 (c) 12 (d) 56
  14. 14.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 98 (c) 66 (d) 48
  15. 15.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 8 (b) 20 (c) 42 (d) 9
  16. 16.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 45 (c) 59 (d) 28
  17. 17.What is the average of 51, 49, 49 and 95? (a) 61 (b) 60 (c) 63 (d) 62
  18. 18.What is the average of 40, 51, 41, 36 and 42? (a) 42 (b) 41 (c) 43 (d) 44
  19. 19.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 40 (b) 82 (c) 54 (d) 34
  20. 20.What is the average of 78, 79, 74, 61, 55 and 49? (a) 67 (b) 66 (c) 65 (d) 68
  21. 21.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 42 (b) 16 (c) 23 (d) 35
  22. 22.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 54 (b) 49 (c) 25 (d) 69
  23. 23.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 24 (c) 71 (d) 83
  24. 24.What is the average of all the whole numbers from 17 to 29? (a) 23 (b) 12 (c) 24 (d) 6
  25. 25.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 62 (b) 38 (c) 32 (d) 8
  26. 26.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 57 (b) 30 (c) 21 (d) 48
  27. 27.What is the average of all the whole numbers from 44 to 76? (a) 32 (b) 60 (c) 61 (d) 16
  28. 28.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 55 (b) 12 (c) 38 (d) 29
  29. 29.What is the average of 30, 43, 25, 40 and 17? (a) 31 (b) 30 (c) 33 (d) 32
  30. 30.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 34 (b) 64 (c) 32 (d) 62
  31. 31.What is the average of 45, 38, 57 and 60? (a) 51 (b) 49 (c) 52 (d) 50
  32. 32.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 18 (b) 34 (c) 35 (d) 19
  33. 33.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 91 (b) 39 (c) 45 (d) 38
  34. 34.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 40 (b) 31 (c) 12 (d) 59
  35. 35.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 83 (b) 14 (c) 15 (d) 39
  36. 36.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 30 (c) 79 (d) 61
  37. 37.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 54 (b) 46 (c) 40 (d) 78
  38. 38.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 53? (a) 60 (b) 102 (c) 53 (d) 56
  39. 39.What is the average of 25, 33, 18, 19, 33 and 46? (a) 30 (b) 29 (c) 28 (d) 31
  40. 40.What is the average of 31, 46, 44, 39, 53 and 21? (a) 40 (b) 41 (c) 39 (d) 38

Answer key

  1. 89
  2. 10
  3. 21
  4. 39
  5. 17
  6. 27
  7. 75
  8. 19
  9. 56
  10. 88
  11. 61
  12. 45
  13. 56
  14. 98
  15. 8
  16. 59
  17. 61
  18. 42
  19. 82
  20. 66
  21. 35
  22. 69
  23. 83
  24. 23
  25. 38
  26. 48
  27. 60
  28. 38
  29. 31
  30. 62
  31. 50
  32. 34
  33. 38
  34. 40
  35. 14
  36. 79
  37. 78
  38. 102
  39. 29
  40. 39

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