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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 110 · 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 58 to 96? (a) 77 (b) 78 (c) 19 (d) 38
  2. 2.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 38 (b) 95 (c) 46 (d) 37
  3. 3.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 17 (b) 92 (c) 16 (d) 44
  4. 4.What is the average of 38, 36, 16, 12 and 18? (a) 25 (b) 24 (c) 23 (d) 30
  5. 5.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 45 (b) 39 (c) 7 (d) 77
  6. 6.What is the average of all the whole numbers from 16 to 50? (a) 17 (b) 33 (c) 32 (d) 34
  7. 7.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 26 (b) 55 (c) 9 (d) 8
  8. 8.What is the average of all the whole numbers from 27 to 61? (a) 44 (b) 34 (c) 17 (d) 45
  9. 9.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 61 (b) 41 (c) 37 (d) 28
  10. 10.What is the average of all the whole numbers from 43 to 73? (a) 59 (b) 30 (c) 15 (d) 58
  11. 11.What is the average of all the whole numbers from 43 to 53? (a) 10 (b) 49 (c) 5 (d) 48
  12. 12.What is the average of 41, 37, 38, 40, 34 and 68? (a) 43 (b) 44 (c) 42 (d) 45
  13. 13.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 6 (b) 51 (c) 46 (d) 91
  14. 14.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 93 (b) 47 (c) 53 (d) 7
  15. 15.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 76 (b) 27 (c) 56 (d) 34
  16. 16.What is the average of all the whole numbers from 23 to 29? (a) 26 (b) 6 (c) 3 (d) 27
  17. 17.What is the average of 50, 48, 50 and 80? (a) 56 (b) 76 (c) 57 (d) 58
  18. 18.What is the average of 38, 24, 24, 40, 46 and 14? (a) 32 (b) 31 (c) 30 (d) 33
  19. 19.What is the average of all the whole numbers from 7 to 47? (a) 40 (b) 20 (c) 28 (d) 27
  20. 20.What is the average of 51, 49, 41 and 67? (a) 51 (b) 53 (c) 52 (d) 54
  21. 21.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 27? (a) 40 (b) 31 (c) 63 (d) 27
  22. 22.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 86 (b) 45 (c) 46 (d) 51
  23. 23.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 66 (b) 54 (c) 52 (d) 16
  24. 24.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 42 (b) 30 (c) 87 (d) 31
  25. 25.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 16 (b) 76 (c) 40 (d) 52
  26. 26.What is the average of 28, 50, 48, 34, 54 and 20? (a) 38 (b) 40 (c) 39 (d) 41
  27. 27.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 56 (b) 8 (c) 52 (d) 50
  28. 28.What is the average of 50, 37, 39 and 58? (a) 48 (b) 47 (c) 45 (d) 46
  29. 29.What is the average of all the whole numbers from 38 to 44? (a) 42 (b) 6 (c) 41 (d) 3
  30. 30.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 60 (b) 42 (c) 48 (d) 24
  31. 31.What is the average of all the whole numbers from 6 to 12? (a) 6 (b) 9 (c) 10 (d) 3
  32. 32.What is the average of 65, 51, 57, 55, 52 and 92? (a) 61 (b) 64 (c) 63 (d) 62
  33. 33.What is the average of all the whole numbers from 19 to 43? (a) 32 (b) 31 (c) 12 (d) 24
  34. 34.What is the average of 75, 53, 58, 50 and 64? (a) 60 (b) 59 (c) 61 (d) 75
  35. 35.What is the average of 51, 36, 25, 35, 38 and 37? (a) 38 (b) 36 (c) 39 (d) 37
  36. 36.What is the average of all the whole numbers from 8 to 36? (a) 23 (b) 28 (c) 22 (d) 14
  37. 37.What is the average of all the whole numbers from 10 to 22? (a) 12 (b) 17 (c) 16 (d) 6
  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 25? (a) 70 (b) 25 (c) 30 (d) 50
  39. 39.What is the average of 25, 21, 25 and 69? (a) 34 (b) 36 (c) 35 (d) 37
  40. 40.What is the average of all the whole numbers from 12 to 38? (a) 24 (b) 26 (c) 13 (d) 25

Answer key

  1. 77
  2. 37
  3. 16
  4. 24
  5. 45
  6. 33
  7. 8
  8. 44
  9. 61
  10. 58
  11. 48
  12. 43
  13. 51
  14. 53
  15. 76
  16. 26
  17. 57
  18. 31
  19. 27
  20. 52
  21. 63
  22. 86
  23. 66
  24. 30
  25. 52
  26. 39
  27. 56
  28. 46
  29. 41
  30. 60
  31. 9
  32. 62
  33. 31
  34. 60
  35. 37
  36. 22
  37. 16
  38. 70
  39. 35
  40. 25

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