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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 881 · 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 34, 31, 35, 37, 28 and 27? (a) 34 (b) 33 (c) 32 (d) 31
  2. 2.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 42 (b) 63 (c) 33 (d) 27
  3. 3.What is the average of 33, 44, 34, 19 and 20? (a) 29 (b) 30 (c) 32 (d) 31
  4. 4.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 44 (b) 10 (c) 38 (d) 36
  5. 5.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 30 (b) 51 (c) 25 (d) 50
  6. 6.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 29 (b) 16 (c) 30 (d) 31
  7. 7.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 67 (c) 60 (d) 115
  8. 8.What is the average of 29, 13, 17 and 33? (a) 22 (b) 25 (c) 23 (d) 24
  9. 9.What is the average of 68, 62, 57, 49, 47 and 89? (a) 61 (b) 63 (c) 64 (d) 62
  10. 10.What is the average of all the whole numbers from 45 to 77? (a) 62 (b) 32 (c) 16 (d) 61
  11. 11.What is the average of 45, 60, 58 and 69? (a) 57 (b) 60 (c) 59 (d) 58
  12. 12.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 4 (c) 66 (d) 3
  13. 13.What is the average of 75, 76, 73 and 56? (a) 70 (b) 72 (c) 69 (d) 71
  14. 14.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 54 (c) 64 (d) 102
  15. 15.What is the average of 39, 25, 16 and 32? (a) 30 (b) 27 (c) 28 (d) 29
  16. 16.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 19 (b) 43 (c) 20 (d) 90
  17. 17.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 21 (b) 61 (c) 79 (d) 64
  18. 18.What is the average of all the whole numbers from 41 to 65? (a) 54 (b) 12 (c) 53 (d) 24
  19. 19.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 46 (b) 88 (c) 66 (d) 24
  20. 20.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 66 (c) 48 (d) 16
  21. 21.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 32 (b) 31 (c) 71 (d) 35
  22. 22.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 26 (b) 89 (c) 43 (d) 25
  23. 23.What is the average of 67, 63, 73, 64, 69 and 78? (a) 71 (b) 70 (c) 69 (d) 68
  24. 24.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 75 (b) 33 (c) 39 (d) 48
  25. 25.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 60 (c) 105 (d) 57
  26. 26.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 47 (b) 35 (c) 89 (d) 77
  27. 27.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 43 (b) 32 (c) 26 (d) 15
  28. 28.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 39 (b) 19 (c) 15 (d) 16
  29. 29.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 49 (b) 26 (c) 102 (d) 25
  30. 30.What is the average of 77, 85, 78, 62 and 68? (a) 75 (b) 74 (c) 76 (d) 73
  31. 31.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 15 (b) 37 (c) 18 (d) 14
  32. 32.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 17 (b) 28 (c) 58 (d) 16
  33. 33.What is the average of 35, 54, 51 and 48? (a) 46 (b) 49 (c) 47 (d) 48
  34. 34.What is the average of all the whole numbers from 37 to 49? (a) 43 (b) 12 (c) 6 (d) 44
  35. 35.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 1 (b) 17 (c) 38 (d) 2
  36. 36.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 24 (b) 66 (c) 32 (d) 25
  37. 37.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 43 (b) 16 (c) 15 (d) 90
  38. 38.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 33 (b) 57 (c) 36 (d) 27
  39. 39.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 30 (b) 50 (c) 44 (d) 68
  40. 40.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 37 (b) 69 (c) 57 (d) 25

Answer key

  1. 32
  2. 63
  3. 30
  4. 44
  5. 50
  6. 30
  7. 115
  8. 23
  9. 62
  10. 61
  11. 58
  12. 3
  13. 70
  14. 102
  15. 28
  16. 19
  17. 79
  18. 53
  19. 66
  20. 48
  21. 31
  22. 25
  23. 69
  24. 75
  25. 105
  26. 77
  27. 43
  28. 15
  29. 25
  30. 74
  31. 14
  32. 16
  33. 47
  34. 43
  35. 1
  36. 24
  37. 15
  38. 57
  39. 68
  40. 57

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