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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 55 · 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 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 46 (b) 76 (c) 40 (d) 42
  2. 2.What is the average of 13, 26, 9, 9, 14 and 73? (a) 26 (b) 24 (c) 23 (d) 25
  3. 3.What is the average of all the whole numbers from 55 to 73? (a) 18 (b) 64 (c) 65 (d) 9
  4. 4.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 33? (a) 30 (b) 33 (c) 60 (d) 36
  5. 5.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 65 (b) 89 (c) 30 (d) 62
  6. 6.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 16 (c) 63 (d) 55
  7. 7.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 30 (b) 65 (c) 16 (d) 15
  8. 8.What is the average of all the whole numbers from 18 to 26? (a) 22 (b) 8 (c) 23 (d) 4
  9. 9.What is the average of 31, 20, 16 and 29? (a) 25 (b) 24 (c) 32 (d) 23
  10. 10.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 40 (b) 23 (c) 58 (d) 41
  11. 11.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 10 (b) 39 (c) 33 (d) 31
  12. 12.What is the average of 53, 64, 69, 74 and 70? (a) 67 (b) 65 (c) 68 (d) 66
  13. 13.What is the average of 56, 36, 30, 46 and 47? (a) 44 (b) 43 (c) 42 (d) 45
  14. 14.What is the average of 81, 65, 71 and 55? (a) 69 (b) 67 (c) 68 (d) 70
  15. 15.What is the average of 92, 72, 76, 77, 87 and 58? (a) 78 (b) 77 (c) 79 (d) 76
  16. 16.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 26 (b) 24 (c) 23 (d) 53
  17. 17.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 18 (c) 59 (d) 47
  18. 18.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 64? (a) 72 (b) 64 (c) 120 (d) 121
  19. 19.What is the average of 65, 48, 50, 50 and 92? (a) 63 (b) 61 (c) 62 (d) 60
  20. 20.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 32 (b) 28 (c) 42 (d) 18
  21. 21.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 5 (b) 51 (c) 30 (d) 26
  22. 22.What is the average of all the whole numbers from 9 to 33? (a) 12 (b) 22 (c) 21 (d) 24
  23. 23.What is the average of 66, 57, 39, 65 and 43? (a) 55 (b) 54 (c) 56 (d) 53
  24. 24.What is the average of 23, 9, 25 and 31? (a) 21 (b) 22 (c) 24 (d) 23
  25. 25.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 69 (b) 51 (c) 24 (d) 48
  26. 26.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 59 (b) 28 (c) 17 (d) 16
  27. 27.What is the average of all the whole numbers from 42 to 54? (a) 12 (b) 49 (c) 6 (d) 48
  28. 28.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 13 (b) 10 (c) 11 (d) 27
  29. 29.What is the average of 62, 68, 83 and 95? (a) 76 (b) 79 (c) 77 (d) 78
  30. 30.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 24 (b) 48 (c) 54 (d) 66
  31. 31.What is the average of 29, 35, 18, 40 and 3? (a) 26 (b) 24 (c) 25 (d) 27
  32. 32.What is the average of 41, 50, 52, 54 and 38? (a) 49 (b) 47 (c) 46 (d) 48
  33. 33.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 73 (b) 32 (c) 86 (d) 45
  34. 34.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 42 (b) 100 (c) 41 (d) 49
  35. 35.What is the average of all the whole numbers from 54 to 84? (a) 70 (b) 69 (c) 15 (d) 30
  36. 36.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 10 (c) 24 (d) 21
  37. 37.What is the average of 67, 60, 69, 65, 65 and 88? (a) 68 (b) 69 (c) 70 (d) 71
  38. 38.What is the average of 18, 45, 18 and 43? (a) 33 (b) 30 (c) 31 (d) 32
  39. 39.What is the average of all the whole numbers from 42 to 62? (a) 20 (b) 10 (c) 53 (d) 52
  40. 40.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 77 (b) 49 (c) 12 (d) 40

Answer key

  1. 76
  2. 24
  3. 64
  4. 60
  5. 89
  6. 63
  7. 15
  8. 22
  9. 24
  10. 58
  11. 39
  12. 66
  13. 43
  14. 68
  15. 77
  16. 23
  17. 59
  18. 120
  19. 61
  20. 42
  21. 30
  22. 21
  23. 54
  24. 22
  25. 69
  26. 16
  27. 48
  28. 10
  29. 77
  30. 66
  31. 25
  32. 47
  33. 73
  34. 41
  35. 69
  36. 21
  37. 69
  38. 31
  39. 52
  40. 49

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