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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 292 · 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 19 to 57? (a) 37 (b) 38 (c) 19 (d) 39
  2. 2.What is the average of 40, 19, 29, 19 and 58? (a) 33 (b) 35 (c) 34 (d) 32
  3. 3.What is the average of 39, 36, 53, 33, 53 and 74? (a) 49 (b) 50 (c) 47 (d) 48
  4. 4.What is the average of all the whole numbers from 48 to 72? (a) 60 (b) 12 (c) 24 (d) 61
  5. 5.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 44 (b) 49 (c) 43 (d) 99
  6. 6.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 36 (b) 1 (c) 2 (d) 77
  7. 7.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 58 (b) 78 (c) 54 (d) 28
  8. 8.What is the average of 38, 29, 21, 17 and 35? (a) 35 (b) 27 (c) 29 (d) 28
  9. 9.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 44 (b) 89 (c) 38 (d) 39
  10. 10.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 30 (b) 26 (c) 20 (d) 42
  11. 11.What is the average of all the whole numbers from 26 to 42? (a) 34 (b) 16 (c) 35 (d) 8
  12. 12.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 52 (b) 20 (c) 25 (d) 19
  13. 13.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 19 (b) 96 (c) 18 (d) 46
  14. 14.What is the average of 75, 62, 60 and 91? (a) 73 (b) 72 (c) 71 (d) 96
  15. 15.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 31 (c) 20 (d) 47
  16. 16.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 26? (a) 32 (b) 80 (c) 60 (d) 26
  17. 17.What is the average of all the whole numbers from 31 to 47? (a) 40 (b) 8 (c) 39 (d) 16
  18. 18.What is the average of all the whole numbers from 29 to 39? (a) 35 (b) 5 (c) 34 (d) 10
  19. 19.What is the average of all the whole numbers from 33 to 47? (a) 7 (b) 40 (c) 14 (d) 41
  20. 20.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 15 (b) 49 (c) 58 (d) 46
  21. 21.What is the average of 43, 47, 47 and 31? (a) 43 (b) 56 (c) 42 (d) 41
  22. 22.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 74 (b) 11 (c) 12 (d) 35
  23. 23.What is the average of 53, 78, 79, 55, 67 and 58? (a) 78 (b) 66 (c) 64 (d) 65
  24. 24.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 46? (a) 52 (b) 42 (c) 82 (d) 46
  25. 25.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 12 (b) 11 (c) 23 (d) 48
  26. 26.What is the average of all the whole numbers from 11 to 33? (a) 23 (b) 21 (c) 22 (d) 11
  27. 27.What is the average of all the whole numbers from 33 to 43? (a) 38 (b) 10 (c) 39 (d) 5
  28. 28.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 29 (b) 54 (c) 45 (d) 20
  29. 29.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 42 (b) 17 (c) 29 (d) 30
  30. 30.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 16 (b) 23 (c) 22 (d) 10
  31. 31.What is the average of all the whole numbers from 13 to 33? (a) 23 (b) 20 (c) 10 (d) 24
  32. 32.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 10 (b) 56 (c) 48 (d) 94
  33. 33.What is the average of 83, 78, 68, 65, 71 and 85? (a) 76 (b) 75 (c) 90 (d) 74
  34. 34.What is the average of 57, 70, 61 and 84? (a) 68 (b) 67 (c) 70 (d) 69
  35. 35.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 28 (c) 60 (d) 74
  36. 36.What is the average of 36, 47, 48 and 45? (a) 45 (b) 43 (c) 44 (d) 46
  37. 37.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 12 (b) 26 (c) 55 (d) 11
  38. 38.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 53 (b) 68 (c) 25 (d) 48
  39. 39.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 68 (b) 32 (c) 13 (d) 12
  40. 40.What is the average of 59, 58, 50, 64, 53 and 106? (a) 64 (b) 65 (c) 66 (d) 78

Answer key

  1. 38
  2. 33
  3. 48
  4. 60
  5. 43
  6. 1
  7. 78
  8. 28
  9. 38
  10. 42
  11. 34
  12. 19
  13. 18
  14. 72
  15. 47
  16. 80
  17. 39
  18. 34
  19. 40
  20. 58
  21. 42
  22. 11
  23. 65
  24. 82
  25. 11
  26. 22
  27. 38
  28. 45
  29. 42
  30. 22
  31. 23
  32. 56
  33. 75
  34. 68
  35. 74
  36. 44
  37. 11
  38. 68
  39. 12
  40. 65

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