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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 487 · 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 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 24 (b) 53 (c) 59 (d) 71
  2. 2.What is the average of all the whole numbers from 29 to 37? (a) 33 (b) 4 (c) 34 (d) 8
  3. 3.What is the average of 72, 75, 63, 75, 65 and 28? (a) 62 (b) 64 (c) 63 (d) 65
  4. 4.What is the average of all the whole numbers from 13 to 39? (a) 25 (b) 27 (c) 13 (d) 26
  5. 5.What is the average of all the whole numbers from 43 to 49? (a) 47 (b) 6 (c) 3 (d) 46
  6. 6.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 30 (b) 31 (c) 39 (d) 81
  7. 7.What is the average of all the whole numbers from 23 to 57? (a) 41 (b) 40 (c) 34 (d) 17
  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 26? (a) 26 (b) 29 (c) 18 (d) 41
  9. 9.What is the average of 44, 60, 39, 51 and 46? (a) 49 (b) 47 (c) 48 (d) 60
  10. 10.What is the average of all the whole numbers from 60 to 86? (a) 13 (b) 74 (c) 73 (d) 26
  11. 11.What is the average of all the whole numbers from 38 to 62? (a) 50 (b) 51 (c) 24 (d) 12
  12. 12.What is the average of 77, 74, 81, 89, 92 and 55? (a) 80 (b) 78 (c) 77 (d) 79
  13. 13.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 49? (a) 70 (b) 56 (c) 49 (d) 28
  14. 14.What is the average of all the whole numbers from 60 to 92? (a) 16 (b) 77 (c) 32 (d) 76
  15. 15.What is the average of 72, 67, 61, 57, 77 and 38? (a) 62 (b) 64 (c) 63 (d) 61
  16. 16.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 40 (b) 87 (c) 43 (d) 39
  17. 17.What is the average of all the whole numbers from 38 to 74? (a) 56 (b) 18 (c) 57 (d) 36
  18. 18.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 56 (b) 30 (c) 46 (d) 20
  19. 19.What is the average of 30, 26, 36, 46 and 37? (a) 34 (b) 37 (c) 35 (d) 36
  20. 20.What is the average of all the whole numbers from 20 to 34? (a) 14 (b) 7 (c) 27 (d) 28
  21. 21.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 75 (b) 21 (c) 35 (d) 20
  22. 22.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 12 (b) 71 (c) 37 (d) 46
  23. 23.What is the average of 22, 31, 33, 11 and 33? (a) 26 (b) 25 (c) 27 (d) 28
  24. 24.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 12 (b) 32 (c) 67 (d) 11
  25. 25.What is the average of all the whole numbers from 39 to 79? (a) 40 (b) 20 (c) 59 (d) 60
  26. 26.What is the average of 31, 8, 36, 31 and 9? (a) 22 (b) 25 (c) 24 (d) 23
  27. 27.What is the average of all the whole numbers from 48 to 64? (a) 57 (b) 56 (c) 8 (d) 16
  28. 28.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 82 (b) 56 (c) 40 (d) 33
  29. 29.What is the average of all the whole numbers from 35 to 45? (a) 5 (b) 10 (c) 40 (d) 41
  30. 30.What is the average of 76, 56, 58, 59 and 96? (a) 71 (b) 70 (c) 69 (d) 68
  31. 31.What is the average of 40, 30, 29 and 33? (a) 33 (b) 34 (c) 32 (d) 44
  32. 32.What is the average of 55, 76, 55, 64 and 100? (a) 71 (b) 69 (c) 72 (d) 70
  33. 33.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 15 (c) 5 (d) 11
  34. 34.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 39 (b) 82 (c) 20 (d) 19
  35. 35.What is the average of all the whole numbers from 29 to 63? (a) 17 (b) 47 (c) 46 (d) 34
  36. 36.What is the average of 34, 33, 31, 16, 39 and 21? (a) 31 (b) 29 (c) 30 (d) 28
  37. 37.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 23 (b) 3 (c) 4 (d) 50
  38. 38.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 86 (c) 62 (d) 32
  39. 39.What is the average of 43, 35, 31, 23 and 38? (a) 35 (b) 36 (c) 34 (d) 33
  40. 40.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 33 (b) 44 (c) 30 (d) 19

Answer key

  1. 71
  2. 33
  3. 63
  4. 26
  5. 46
  6. 30
  7. 40
  8. 41
  9. 48
  10. 73
  11. 50
  12. 78
  13. 70
  14. 76
  15. 62
  16. 39
  17. 56
  18. 46
  19. 35
  20. 27
  21. 20
  22. 46
  23. 26
  24. 11
  25. 59
  26. 23
  27. 56
  28. 82
  29. 40
  30. 69
  31. 33
  32. 70
  33. 15
  34. 19
  35. 46
  36. 29
  37. 3
  38. 86
  39. 34
  40. 44

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