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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 637 · 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 all the whole numbers from 44 to 76? (a) 61 (b) 16 (c) 32 (d) 60
  2. 2.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 36 (b) 35 (c) 103 (d) 50
  3. 3.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 58 (b) 40 (c) 50 (d) 82
  4. 4.What is the average of all the whole numbers from 22 to 42? (a) 10 (b) 32 (c) 33 (d) 20
  5. 5.What is the average of all the whole numbers from 48 to 82? (a) 17 (b) 66 (c) 65 (d) 34
  6. 6.What is the average of all the whole numbers from 26 to 60? (a) 43 (b) 44 (c) 17 (d) 34
  7. 7.What is the average of all the whole numbers from 21 to 39? (a) 18 (b) 9 (c) 31 (d) 30
  8. 8.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 24? (a) 26 (b) 12 (c) 24 (d) 34
  9. 9.What is the average of all the whole numbers from 16 to 38? (a) 28 (b) 22 (c) 27 (d) 11
  10. 10.What is the average of 49, 57, 71 and 51? (a) 58 (b) 56 (c) 76 (d) 57
  11. 11.What is the average of 68, 45, 48, 68 and 66? (a) 58 (b) 61 (c) 59 (d) 60
  12. 12.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 36 (b) 66 (c) 60 (d) 90
  13. 13.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 31 (b) 52 (c) 28 (d) 27
  14. 14.What is the average of all the whole numbers from 23 to 53? (a) 30 (b) 15 (c) 39 (d) 38
  15. 15.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 32 (b) 51 (c) 26 (d) 7
  16. 16.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 60 (c) 48 (d) 96
  17. 17.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 20 (b) 75 (c) 40 (d) 55
  18. 18.What is the average of 25, 35, 12, 26 and 37? (a) 29 (b) 28 (c) 27 (d) 26
  19. 19.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 43 (b) 28 (c) 7 (d) 22
  20. 20.What is the average of all the whole numbers from 40 to 48? (a) 4 (b) 45 (c) 44 (d) 8
  21. 21.A batter has an average of 38 runs in 8 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 18 (c) 42 (d) 56
  22. 22.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 42 (b) 30 (c) 16 (d) 34
  23. 23.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 27 (b) 79 (c) 55 (d) 58
  24. 24.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 72 (c) 56 (d) 112
  25. 25.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 16 (b) 27 (c) 29 (d) 41
  26. 26.What is the average of all the whole numbers from 18 to 38? (a) 20 (b) 29 (c) 10 (d) 28
  27. 27.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 89 (b) 41 (c) 47 (d) 54
  28. 28.What is the average of 29, 34, 33, 46 and 58? (a) 50 (b) 41 (c) 40 (d) 39
  29. 29.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 12 (b) 17 (c) 35 (d) 11
  30. 30.What is the average of 66, 72, 72 and 26? (a) 58 (b) 60 (c) 59 (d) 61
  31. 31.What is the average of all the whole numbers from 17 to 29? (a) 12 (b) 6 (c) 23 (d) 24
  32. 32.What is the average of 38, 33, 19, 15 and 20? (a) 26 (b) 25 (c) 27 (d) 24
  33. 33.What is the average of all the whole numbers from 25 to 49? (a) 24 (b) 37 (c) 38 (d) 12
  34. 34.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 12 (c) 62 (d) 70
  35. 35.What is the average of 36, 25, 31 and 8? (a) 24 (b) 26 (c) 25 (d) 27
  36. 36.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 41 (b) 86 (c) 25 (d) 26
  37. 37.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 83 (b) 32 (c) 40 (d) 31
  38. 38.What is the average of 33, 32, 15 and 20? (a) 26 (b) 25 (c) 24 (d) 27
  39. 39.What is the average of all the whole numbers from 32 to 38? (a) 6 (b) 36 (c) 3 (d) 35
  40. 40.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 40 (b) 93 (c) 84 (d) 49

Answer key

  1. 60
  2. 35
  3. 82
  4. 32
  5. 65
  6. 43
  7. 30
  8. 34
  9. 27
  10. 57
  11. 59
  12. 90
  13. 52
  14. 38
  15. 32
  16. 96
  17. 55
  18. 27
  19. 28
  20. 44
  21. 56
  22. 42
  23. 79
  24. 112
  25. 41
  26. 28
  27. 89
  28. 40
  29. 11
  30. 59
  31. 23
  32. 25
  33. 37
  34. 70
  35. 25
  36. 25
  37. 31
  38. 25
  39. 35
  40. 84

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