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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 644 · 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 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 15 (c) 55 (d) 64
  2. 2.What is the average of 23, 26, 31 and 32? (a) 29 (b) 28 (c) 27 (d) 30
  3. 3.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 3 (b) 11 (c) 24 (d) 4
  4. 4.What is the average of 66, 63, 73, 81, 80 and 33? (a) 65 (b) 67 (c) 66 (d) 68
  5. 5.What is the average of 58, 40, 35, 46 and 71? (a) 50 (b) 49 (c) 51 (d) 52
  6. 6.What is the average of all the whole numbers from 5 to 15? (a) 11 (b) 10 (c) 5 (d) 9
  7. 7.What is the average of 67, 80, 85, 61 and 87? (a) 95 (b) 77 (c) 75 (d) 76
  8. 8.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 33? (a) 87 (b) 33 (c) 60 (d) 39
  9. 9.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 38 (b) 41 (c) 37 (d) 83
  10. 10.What is the average of 71, 53, 55 and 53? (a) 57 (b) 58 (c) 60 (d) 59
  11. 11.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 50 (b) 78 (c) 33 (d) 38
  12. 12.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 48 (b) 6 (c) 43 (d) 85
  13. 13.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 20 (b) 14 (c) 42 (d) 15
  14. 14.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 94 (c) 52 (d) 54
  15. 15.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 36 (c) 41 (d) 69
  16. 16.What is the average of all the whole numbers from 16 to 40? (a) 24 (b) 29 (c) 12 (d) 28
  17. 17.What is the average of 52, 59, 53 and 72? (a) 58 (b) 59 (c) 61 (d) 60
  18. 18.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 65? (a) 64 (b) 65 (c) 121 (d) 73
  19. 19.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 36 (b) 67 (c) 71 (d) 40
  20. 20.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 94 (c) 73 (d) 28
  21. 21.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 24? (a) 52 (b) 28 (c) 24 (d) 32
  22. 22.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 12 (b) 19 (c) 47 (d) 40
  23. 23.What is the average of all the whole numbers from 12 to 38? (a) 25 (b) 13 (c) 24 (d) 26
  24. 24.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 55 (c) 40 (d) 79
  25. 25.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 10 (b) 19 (c) 11 (d) 20
  26. 26.What is the average of all the whole numbers from 60 to 66? (a) 6 (b) 3 (c) 64 (d) 63
  27. 27.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) 2 (d) 38
  28. 28.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 46 (c) 70 (d) 40
  29. 29.What is the average of 20, 23, 34, 15 and 48? (a) 27 (b) 35 (c) 28 (d) 29
  30. 30.What is the average of all the whole numbers from 27 to 53? (a) 26 (b) 13 (c) 41 (d) 40
  31. 31.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 42 (b) 41 (c) 91 (d) 45
  32. 32.What is the average of all the whole numbers from 10 to 30? (a) 20 (b) 21 (c) 10 (d) 19
  33. 33.What is the average of 40, 15, 34, 26 and 35? (a) 31 (b) 29 (c) 30 (d) 32
  34. 34.What is the average of 48, 35, 44, 29, 43 and 17? (a) 38 (b) 35 (c) 36 (d) 37
  35. 35.What is the average of 41, 39, 33, 27 and 45? (a) 36 (b) 39 (c) 38 (d) 37
  36. 36.What is the average of 36, 41, 21, 43, 37 and 20? (a) 33 (b) 32 (c) 35 (d) 34
  37. 37.What is the average of all the whole numbers from 43 to 63? (a) 20 (b) 54 (c) 10 (d) 53
  38. 38.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 80 (b) 46 (c) 110 (d) 38
  39. 39.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 35 (b) 67 (c) 12 (d) 44
  40. 40.What is the average of all the whole numbers from 38 to 66? (a) 28 (b) 52 (c) 53 (d) 14

Answer key

  1. 64
  2. 28
  3. 3
  4. 66
  5. 50
  6. 10
  7. 76
  8. 87
  9. 37
  10. 58
  11. 78
  12. 48
  13. 14
  14. 94
  15. 69
  16. 28
  17. 59
  18. 121
  19. 71
  20. 73
  21. 52
  22. 47
  23. 25
  24. 79
  25. 19
  26. 63
  27. 1
  28. 70
  29. 28
  30. 40
  31. 41
  32. 20
  33. 30
  34. 36
  35. 37
  36. 33
  37. 53
  38. 110
  39. 44
  40. 52

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