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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 638 · 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 33, 48, 37, 37 and 55? (a) 43 (b) 41 (c) 42 (d) 44
  2. 2.What is the average of all the whole numbers from 55 to 95? (a) 76 (b) 40 (c) 20 (d) 75
  3. 3.What is the average of all the whole numbers from 34 to 56? (a) 46 (b) 11 (c) 45 (d) 22
  4. 4.A batter has an average of 49 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 97 (c) 65 (d) 48
  5. 5.What is the average of 56, 40, 49 and 63? (a) 51 (b) 54 (c) 52 (d) 53
  6. 6.What is the average of 68, 70, 90, 64, 75 and 95? (a) 78 (b) 79 (c) 77 (d) 76
  7. 7.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 45? (a) 45 (b) 35 (c) 73 (d) 52
  8. 8.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 35 (b) 36 (c) 59 (d) 29
  9. 9.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 68 (b) 44 (c) 84 (d) 28
  10. 10.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 60 (b) 57 (c) 75 (d) 21
  11. 11.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 85 (b) 29 (c) 30 (d) 41
  12. 12.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 47 (b) 25 (c) 46 (d) 24
  13. 13.What is the average of 23, 26, 6, 23 and 27? (a) 21 (b) 22 (c) 23 (d) 20
  14. 14.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 11 (b) 12 (c) 17 (d) 35
  15. 15.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 55 (b) 35 (c) 76 (d) 48
  16. 16.What is the average of 75, 67, 65 and 93? (a) 74 (b) 76 (c) 100 (d) 75
  17. 17.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 52 (b) 64 (c) 18 (d) 49
  18. 18.What is the average of 25, 26, 24, 47 and 68? (a) 39 (b) 38 (c) 40 (d) 37
  19. 19.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 32 (b) 53 (c) 61 (d) 24
  20. 20.What is the average of all the whole numbers from 8 to 32? (a) 21 (b) 12 (c) 20 (d) 24
  21. 21.What is the average of 89, 90, 70, 94 and 57? (a) 81 (b) 100 (c) 79 (d) 80
  22. 22.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 46 (b) 31 (c) 21 (d) 28
  23. 23.What is the average of 64, 59, 55, 79 and 93? (a) 69 (b) 70 (c) 72 (d) 71
  24. 24.What is the average of 56, 58, 46 and 20? (a) 46 (b) 60 (c) 45 (d) 44
  25. 25.What is the average of 49, 48, 26, 54, 43 and 20? (a) 48 (b) 40 (c) 41 (d) 39
  26. 26.What is the average of 67, 59, 51, 52, 64 and 97? (a) 65 (b) 66 (c) 78 (d) 64
  27. 27.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 33 (b) 24 (c) 62 (d) 53
  28. 28.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 58? (a) 58 (b) 62 (c) 16 (d) 70
  29. 29.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 65 (b) 40 (c) 70 (d) 35
  30. 30.What is the average of 57, 69, 80 and 82? (a) 73 (b) 96 (c) 72 (d) 71
  31. 31.What is the average of 39, 29, 44, 42 and 31? (a) 38 (b) 39 (c) 37 (d) 36
  32. 32.What is the average of 23, 41, 20, 20, 35 and 53? (a) 33 (b) 32 (c) 31 (d) 34
  33. 33.What is the average of 66, 66, 80, 77 and 96? (a) 76 (b) 78 (c) 77 (d) 79
  34. 34.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 22 (b) 21 (c) 78 (d) 37
  35. 35.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 19 (b) 54 (c) 40 (d) 33
  36. 36.What is the average of 57, 58, 43, 67 and 55? (a) 55 (b) 57 (c) 70 (d) 56
  37. 37.What is the average of all the whole numbers from 15 to 27? (a) 6 (b) 12 (c) 22 (d) 21
  38. 38.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 40 (c) 66 (d) 65
  39. 39.What is the average of all the whole numbers from 22 to 28? (a) 3 (b) 6 (c) 26 (d) 25
  40. 40.What is the average of 48, 32, 41 and 23? (a) 35 (b) 36 (c) 48 (d) 37

Answer key

  1. 42
  2. 75
  3. 45
  4. 97
  5. 52
  6. 77
  7. 73
  8. 59
  9. 68
  10. 75
  11. 29
  12. 46
  13. 21
  14. 11
  15. 76
  16. 75
  17. 64
  18. 38
  19. 53
  20. 20
  21. 80
  22. 46
  23. 70
  24. 45
  25. 40
  26. 65
  27. 53
  28. 70
  29. 70
  30. 72
  31. 37
  32. 32
  33. 77
  34. 21
  35. 54
  36. 56
  37. 21
  38. 65
  39. 25
  40. 36

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