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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 789 · 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 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 36 (b) 76 (c) 21 (d) 20
  2. 2.What is the average of all the whole numbers from 26 to 66? (a) 20 (b) 47 (c) 46 (d) 40
  3. 3.What is the average of 35, 45, 28, 42 and 35? (a) 39 (b) 38 (c) 36 (d) 37
  4. 4.What is the average of all the whole numbers from 24 to 60? (a) 18 (b) 36 (c) 42 (d) 43
  5. 5.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 93 (b) 48 (c) 63 (d) 18
  6. 6.What is the average of 76, 73, 63 and 88? (a) 75 (b) 74 (c) 100 (d) 76
  7. 7.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 95 (c) 60 (d) 49
  8. 8.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 18 (b) 24 (c) 31 (d) 11
  9. 9.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 67? (a) 72 (b) 75 (c) 131 (d) 67
  10. 10.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) 17 (b) 33 (c) 23 (d) 7
  11. 11.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 17 (b) 47 (c) 35 (d) 29
  12. 12.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 20 (b) 94 (c) 65 (d) 49
  13. 13.What is the average of all the whole numbers from 9 to 21? (a) 15 (b) 12 (c) 16 (d) 6
  14. 14.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) 66 (b) 41 (c) 30 (d) 77
  15. 15.What is the average of 52, 51, 63, 55 and 59? (a) 57 (b) 56 (c) 70 (d) 55
  16. 16.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 15 (b) 23 (c) 35 (d) 43
  17. 17.What is the average of all the whole numbers from 56 to 66? (a) 62 (b) 5 (c) 61 (d) 10
  18. 18.What is the average of 51, 31, 33 and 37? (a) 40 (b) 39 (c) 38 (d) 37
  19. 19.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 83 (b) 41 (c) 48 (d) 47
  20. 20.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 44 (c) 53 (d) 29
  21. 21.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 74 (b) 44 (c) 35 (d) 83
  22. 22.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 5 (b) 19 (c) 14 (d) 10
  23. 23.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 77 (b) 41 (c) 42 (d) 47
  24. 24.What is the average of 52, 52, 77 and 83? (a) 66 (b) 67 (c) 65 (d) 88
  25. 25.What is the average of 62, 56, 53, 46, 67 and 28? (a) 53 (b) 51 (c) 54 (d) 52
  26. 26.What is the average of 90, 79, 88, 68 and 55? (a) 76 (b) 75 (c) 77 (d) 95
  27. 27.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 48 (c) 27 (d) 49
  28. 28.What is the average of 38, 42, 23 and 29? (a) 34 (b) 33 (c) 44 (d) 32
  29. 29.What is the average of all the whole numbers from 19 to 53? (a) 37 (b) 34 (c) 36 (d) 17
  30. 30.What is the average of 9, 27, 20 and 40? (a) 23 (b) 25 (c) 24 (d) 32
  31. 31.What is the average of 88, 77, 86 and 57? (a) 78 (b) 76 (c) 77 (d) 79
  32. 32.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 18 (b) 10 (c) 22 (d) 14
  33. 33.What is the average of 19, 19, 38, 23, 36 and 69? (a) 34 (b) 36 (c) 35 (d) 33
  34. 34.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 20 (c) 47 (d) 57
  35. 35.What is the average of all the whole numbers from 30 to 66? (a) 48 (b) 18 (c) 49 (d) 36
  36. 36.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 63 (b) 7 (c) 38 (d) 32
  37. 37.What is the average of all the whole numbers from 51 to 71? (a) 20 (b) 61 (c) 10 (d) 62
  38. 38.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 40 (c) 22 (d) 20
  39. 39.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 38 (b) 35 (c) 77 (d) 34
  40. 40.What is the average of 60, 82, 75, 59 and 69? (a) 71 (b) 70 (c) 68 (d) 69

Answer key

  1. 20
  2. 46
  3. 37
  4. 42
  5. 63
  6. 75
  7. 95
  8. 31
  9. 131
  10. 23
  11. 47
  12. 65
  13. 15
  14. 66
  15. 56
  16. 35
  17. 61
  18. 38
  19. 83
  20. 44
  21. 74
  22. 14
  23. 77
  24. 66
  25. 52
  26. 76
  27. 48
  28. 33
  29. 36
  30. 24
  31. 77
  32. 22
  33. 34
  34. 57
  35. 48
  36. 38
  37. 61
  38. 40
  39. 34
  40. 69

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