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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 343 · 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 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 47 (c) 30 (d) 71
  2. 2.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 10 (b) 44 (c) 46 (d) 52
  3. 3.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 49 (b) 8 (c) 97 (d) 56
  4. 4.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 75 (b) 30 (c) 57 (d) 51
  5. 5.What is the average of all the whole numbers from 14 to 46? (a) 31 (b) 30 (c) 32 (d) 16
  6. 6.What is the average of all the whole numbers from 60 to 94? (a) 17 (b) 77 (c) 34 (d) 78
  7. 7.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 89 (b) 38 (c) 39 (d) 44
  8. 8.What is the average of all the whole numbers from 56 to 76? (a) 10 (b) 66 (c) 67 (d) 20
  9. 9.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 28 (b) 75 (c) 27 (d) 36
  10. 10.What is the average of all the whole numbers from 7 to 43? (a) 26 (b) 18 (c) 36 (d) 25
  11. 11.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 44 (b) 20 (c) 29 (d) 34
  12. 12.What is the average of 46, 51, 36 and 15? (a) 36 (b) 38 (c) 37 (d) 39
  13. 13.What is the average of all the whole numbers from 59 to 69? (a) 65 (b) 64 (c) 5 (d) 10
  14. 14.What is the average of 59, 54, 39, 62, 62 and 18? (a) 48 (b) 51 (c) 49 (d) 50
  15. 15.What is the average of all the whole numbers from 32 to 50? (a) 42 (b) 9 (c) 18 (d) 41
  16. 16.What is the average of all the whole numbers from 21 to 51? (a) 15 (b) 37 (c) 30 (d) 36
  17. 17.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 30 (b) 55 (c) 79 (d) 52
  18. 18.What is the average of 78, 81, 60, 84, 66 and 57? (a) 70 (b) 72 (c) 71 (d) 73
  19. 19.What is the average of all the whole numbers from 45 to 55? (a) 10 (b) 5 (c) 51 (d) 50
  20. 20.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 91 (b) 61 (c) 40 (d) 56
  21. 21.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 24 (c) 55 (d) 35
  22. 22.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 118 (c) 72 (d) 62
  23. 23.What is the average of all the whole numbers from 15 to 31? (a) 24 (b) 8 (c) 16 (d) 23
  24. 24.What is the average of 46, 50, 63, 36 and 55? (a) 50 (b) 49 (c) 51 (d) 52
  25. 25.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 86 (b) 62 (c) 36 (d) 56
  26. 26.What is the average of 28, 25, 24 and 19? (a) 25 (b) 23 (c) 32 (d) 24
  27. 27.What is the average of 63, 35, 45, 56, 52 and 37? (a) 50 (b) 48 (c) 47 (d) 49
  28. 28.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 61 (b) 38 (c) 8 (d) 31
  29. 29.What is the average of 54, 59, 61, 67, 66 and 11? (a) 52 (b) 55 (c) 53 (d) 54
  30. 30.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 48 (b) 42 (c) 34 (d) 74
  31. 31.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 25 (b) 18 (c) 8 (d) 35
  32. 32.What is the average of 47, 30, 31, 34 and 53? (a) 38 (b) 39 (c) 41 (d) 40
  33. 33.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 40 (b) 36 (c) 34 (d) 8
  34. 34.What is the average of all the whole numbers from 6 to 40? (a) 34 (b) 24 (c) 23 (d) 17
  35. 35.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 59? (a) 61 (b) 73 (c) 59 (d) 16
  36. 36.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 24 (b) 49 (c) 70 (d) 95
  37. 37.What is the average of all the whole numbers from 8 to 28? (a) 19 (b) 10 (c) 18 (d) 20
  38. 38.What is the average of 13, 29, 23, 35, 33 and 17? (a) 26 (b) 30 (c) 24 (d) 25
  39. 39.What is the average of 25, 33, 13 and 17? (a) 23 (b) 24 (c) 21 (d) 22
  40. 40.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 57 (b) 28 (c) 26 (d) 25

Answer key

  1. 71
  2. 52
  3. 56
  4. 75
  5. 30
  6. 77
  7. 38
  8. 66
  9. 27
  10. 25
  11. 44
  12. 37
  13. 64
  14. 49
  15. 41
  16. 36
  17. 79
  18. 71
  19. 50
  20. 91
  21. 55
  22. 118
  23. 23
  24. 50
  25. 86
  26. 24
  27. 48
  28. 38
  29. 53
  30. 74
  31. 25
  32. 39
  33. 40
  34. 23
  35. 73
  36. 70
  37. 18
  38. 25
  39. 22
  40. 25

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