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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 608 · 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.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 22 (b) 23 (c) 53 (d) 26
  2. 2.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 97 (b) 4 (c) 49 (d) 52
  3. 3.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 52 (b) 15 (c) 40 (d) 77
  4. 4.What is the average of all the whole numbers from 18 to 32? (a) 25 (b) 14 (c) 26 (d) 7
  5. 5.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 52 (b) 60 (c) 46 (d) 100
  6. 6.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 19 (b) 25 (c) 8 (d) 36
  7. 7.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 4 (b) 16 (c) 13 (d) 25
  8. 8.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 28 (b) 50 (c) 36 (d) 29
  9. 9.What is the average of all the whole numbers from 15 to 27? (a) 12 (b) 6 (c) 21 (d) 22
  10. 10.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 10 (b) 9 (c) 44 (d) 93
  11. 11.What is the average of all the whole numbers from 12 to 22? (a) 10 (b) 18 (c) 17 (d) 5
  12. 12.What is the average of all the whole numbers from 5 to 13? (a) 10 (b) 9 (c) 8 (d) 4
  13. 13.What is the average of all the whole numbers from 34 to 44? (a) 5 (b) 40 (c) 39 (d) 10
  14. 14.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 35 (b) 64 (c) 69 (d) 94
  15. 15.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 117 (b) 64 (c) 61 (d) 69
  16. 16.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 48 (b) 44 (c) 76 (d) 36
  17. 17.What is the average of 75, 65, 69, 50, 56 and 75? (a) 66 (b) 65 (c) 78 (d) 64
  18. 18.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 48 (b) 36 (c) 42 (d) 78
  19. 19.What is the average of all the whole numbers from 39 to 63? (a) 24 (b) 12 (c) 51 (d) 52
  20. 20.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 7 (b) 6 (c) 38 (d) 18
  21. 21.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 56 (c) 80 (d) 120
  22. 22.What is the average of 76, 90, 70, 89 and 50? (a) 77 (b) 75 (c) 76 (d) 74
  23. 23.What is the average of all the whole numbers from 15 to 37? (a) 27 (b) 22 (c) 11 (d) 26
  24. 24.What is the average of 74, 70, 75 and 21? (a) 80 (b) 61 (c) 60 (d) 59
  25. 25.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 27 (b) 67 (c) 28 (d) 33
  26. 26.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 84 (b) 49 (c) 8 (d) 43
  27. 27.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 35 (b) 65 (c) 93 (d) 72
  28. 28.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 70 (b) 42 (c) 71 (d) 35
  29. 29.What is the average of all the whole numbers from 5 to 19? (a) 14 (b) 12 (c) 13 (d) 7
  30. 30.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 33 (b) 7 (c) 17 (d) 23
  31. 31.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 36 (b) 28 (c) 75 (d) 27
  32. 32.What is the average of all the whole numbers from 10 to 50? (a) 30 (b) 20 (c) 31 (d) 40
  33. 33.What is the average of 84, 62, 72 and 86? (a) 76 (b) 77 (c) 78 (d) 75
  34. 34.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 71 (b) 14 (c) 13 (d) 34
  35. 35.What is the average of 81, 84, 92 and 59? (a) 80 (b) 78 (c) 79 (d) 81
  36. 36.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 35 (b) 73 (c) 26 (d) 27
  37. 37.What is the average of 32, 28, 40, 54 and 61? (a) 43 (b) 45 (c) 44 (d) 42
  38. 38.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 29? (a) 40 (b) 34 (c) 29 (d) 64
  39. 39.What is the average of 41, 52, 51, 59, 45 and 58? (a) 52 (b) 51 (c) 53 (d) 50
  40. 40.What is the average of all the whole numbers from 25 to 51? (a) 13 (b) 26 (c) 39 (d) 38

Answer key

  1. 22
  2. 52
  3. 52
  4. 25
  5. 100
  6. 25
  7. 16
  8. 50
  9. 21
  10. 9
  11. 17
  12. 9
  13. 39
  14. 94
  15. 117
  16. 76
  17. 65
  18. 78
  19. 51
  20. 6
  21. 120
  22. 75
  23. 26
  24. 60
  25. 27
  26. 49
  27. 93
  28. 70
  29. 12
  30. 23
  31. 27
  32. 30
  33. 76
  34. 13
  35. 79
  36. 26
  37. 43
  38. 64
  39. 51
  40. 38

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