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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 312 · 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.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 14 (c) 65 (d) 53
  2. 2.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 88 (b) 29 (c) 43 (d) 30
  3. 3.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 47? (a) 54 (b) 89 (c) 49 (d) 47
  4. 4.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 20 (b) 34 (c) 49 (d) 63
  5. 5.What is the average of 72, 85, 77, 86 and 35? (a) 70 (b) 72 (c) 71 (d) 73
  6. 6.What is the average of all the whole numbers from 47 to 83? (a) 66 (b) 65 (c) 36 (d) 18
  7. 7.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 25 (b) 24 (c) 63 (d) 31
  8. 8.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 91 (b) 4 (c) 49 (d) 46
  9. 9.What is the average of all the whole numbers from 55 to 95? (a) 75 (b) 76 (c) 20 (d) 40
  10. 10.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 64 (b) 50 (c) 98 (d) 16
  11. 11.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 12 (b) 60 (c) 66 (d) 57
  12. 12.What is the average of all the whole numbers from 21 to 35? (a) 14 (b) 29 (c) 28 (d) 7
  13. 13.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 13 (b) 21 (c) 30 (d) 38
  14. 14.What is the average of 51, 53, 33 and 55? (a) 47 (b) 48 (c) 64 (d) 49
  15. 15.What is the average of 82, 85, 80 and 37? (a) 70 (b) 71 (c) 73 (d) 72
  16. 16.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 85 (b) 45 (c) 70 (d) 30
  17. 17.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 50 (b) 38 (c) 26 (d) 14
  18. 18.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 57 (c) 33 (d) 27
  19. 19.What is the average of 79, 55, 56, 54, 63 and 95? (a) 68 (b) 66 (c) 69 (d) 67
  20. 20.What is the average of 87, 65, 77, 79, 69 and 85? (a) 78 (b) 77 (c) 76 (d) 79
  21. 21.What is the average of all the whole numbers from 7 to 35? (a) 28 (b) 22 (c) 14 (d) 21
  22. 22.What is the average of all the whole numbers from 58 to 76? (a) 68 (b) 67 (c) 18 (d) 9
  23. 23.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 45 (b) 94 (c) 22 (d) 21
  24. 24.What is the average of 72, 91, 91, 82 and 44? (a) 95 (b) 76 (c) 75 (d) 77
  25. 25.What is the average of 38, 30, 37, 30, 42 and 33? (a) 36 (b) 34 (c) 42 (d) 35
  26. 26.What is the average of 35, 29, 38, 33 and 75? (a) 43 (b) 44 (c) 41 (d) 42
  27. 27.What is the average of 73, 58, 72 and 65? (a) 67 (b) 69 (c) 66 (d) 68
  28. 28.What is the average of 36, 51, 43, 42, 36 and 38? (a) 42 (b) 41 (c) 40 (d) 43
  29. 29.What is the average of 77, 76, 74 and 37? (a) 67 (b) 88 (c) 66 (d) 65
  30. 30.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 29 (b) 56 (c) 41 (d) 14
  31. 31.What is the average of all the whole numbers from 21 to 45? (a) 12 (b) 34 (c) 24 (d) 33
  32. 32.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 24 (c) 30 (d) 10
  33. 33.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 40 (b) 33 (c) 65 (d) 8
  34. 34.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 60 (b) 29 (c) 24 (d) 23
  35. 35.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 49 (b) 83 (c) 42 (d) 8
  36. 36.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 62 (c) 24 (d) 80
  37. 37.What is the average of 38, 51, 43, 60, 43 and 83? (a) 53 (b) 55 (c) 54 (d) 52
  38. 38.What is the average of 35, 18, 35 and 24? (a) 29 (b) 27 (c) 30 (d) 28
  39. 39.What is the average of all the whole numbers from 36 to 66? (a) 15 (b) 52 (c) 30 (d) 51
  40. 40.What is the average of 47, 62, 37 and 46? (a) 48 (b) 64 (c) 47 (d) 49

Answer key

  1. 65
  2. 29
  3. 89
  4. 49
  5. 71
  6. 65
  7. 24
  8. 49
  9. 75
  10. 64
  11. 66
  12. 28
  13. 38
  14. 48
  15. 71
  16. 70
  17. 38
  18. 57
  19. 67
  20. 77
  21. 21
  22. 67
  23. 21
  24. 76
  25. 35
  26. 42
  27. 67
  28. 41
  29. 66
  30. 41
  31. 33
  32. 30
  33. 40
  34. 23
  35. 49
  36. 80
  37. 53
  38. 28
  39. 51
  40. 48

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