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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 333 · 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 57, 40, 41 and 70? (a) 54 (b) 52 (c) 53 (d) 51
  2. 2.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 38 (b) 43 (c) 75 (d) 6
  3. 3.What is the average of all the whole numbers from 9 to 19? (a) 14 (b) 15 (c) 5 (d) 10
  4. 4.What is the average of 49, 43, 53, 34, 32 and 29? (a) 48 (b) 40 (c) 41 (d) 39
  5. 5.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 30 (b) 59 (c) 65 (d) 83
  6. 6.What is the average of 43, 20, 18, 23, 17 and 53? (a) 28 (b) 31 (c) 30 (d) 29
  7. 7.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 82 (b) 47 (c) 54 (d) 42
  8. 8.What is the average of 25, 32, 25, 34, 17 and 59? (a) 34 (b) 31 (c) 33 (d) 32
  9. 9.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 8 (b) 30 (c) 23 (d) 45
  10. 10.What is the average of 10, 26, 26, 9 and 29? (a) 21 (b) 25 (c) 20 (d) 19
  11. 11.What is the average of all the whole numbers from 12 to 40? (a) 14 (b) 27 (c) 26 (d) 28
  12. 12.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 29 (b) 30 (c) 26 (d) 53
  13. 13.What is the average of all the whole numbers from 9 to 35? (a) 13 (b) 22 (c) 23 (d) 26
  14. 14.What is the average of 84, 70, 81, 76, 81 and 46? (a) 75 (b) 72 (c) 73 (d) 74
  15. 15.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 85 (b) 20 (c) 41 (d) 21
  16. 16.What is the average of all the whole numbers from 14 to 22? (a) 4 (b) 19 (c) 18 (d) 8
  17. 17.What is the average of all the whole numbers from 24 to 44? (a) 35 (b) 34 (c) 10 (d) 20
  18. 18.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 19 (c) 29 (d) 5
  19. 19.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 58 (b) 34 (c) 28 (d) 36
  20. 20.What is the average of all the whole numbers from 41 to 69? (a) 56 (b) 14 (c) 28 (d) 55
  21. 21.What is the average of all the whole numbers from 27 to 45? (a) 9 (b) 18 (c) 37 (d) 36
  22. 22.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 11 (b) 20 (c) 10 (d) 19
  23. 23.What is the average of 69, 49, 53 and 45? (a) 53 (b) 55 (c) 54 (d) 72
  24. 24.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 46 (b) 25 (c) 47 (d) 26
  25. 25.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 27 (b) 70 (c) 34 (d) 26
  26. 26.What is the average of all the whole numbers from 11 to 49? (a) 38 (b) 30 (c) 19 (d) 31
  27. 27.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 18 (b) 60 (c) 45 (d) 87
  28. 28.What is the average of 26, 44, 26, 35 and 69? (a) 40 (b) 39 (c) 41 (d) 50
  29. 29.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 47 (b) 55 (c) 10 (d) 92
  30. 30.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) 36 (b) 71 (c) 39 (d) 4
  31. 31.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 33 (b) 14 (c) 70 (d) 13
  32. 32.What is the average of 72, 61, 56, 73 and 53? (a) 63 (b) 65 (c) 64 (d) 62
  33. 33.What is the average of all the whole numbers from 6 to 16? (a) 11 (b) 5 (c) 10 (d) 12
  34. 34.What is the average of 87, 64, 78, 75 and 91? (a) 78 (b) 79 (c) 81 (d) 80
  35. 35.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 14 (b) 54 (c) 40 (d) 28
  36. 36.What is the average of all the whole numbers from 31 to 45? (a) 7 (b) 38 (c) 39 (d) 14
  37. 37.What is the average of 52, 55, 73 and 76? (a) 65 (b) 63 (c) 66 (d) 64
  38. 38.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 40? (a) 70 (b) 40 (c) 35 (d) 45
  39. 39.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 40 (b) 36 (c) 8 (d) 34
  40. 40.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 55 (b) 6 (c) 99 (d) 50

Answer key

  1. 52
  2. 43
  3. 14
  4. 40
  5. 83
  6. 29
  7. 82
  8. 32
  9. 30
  10. 20
  11. 26
  12. 53
  13. 22
  14. 73
  15. 20
  16. 18
  17. 34
  18. 19
  19. 58
  20. 55
  21. 36
  22. 19
  23. 54
  24. 46
  25. 26
  26. 30
  27. 60
  28. 40
  29. 55
  30. 39
  31. 13
  32. 63
  33. 11
  34. 79
  35. 40
  36. 38
  37. 64
  38. 70
  39. 40
  40. 55

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