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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 663 · 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.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 21 (b) 31 (c) 23 (d) 13
  2. 2.What is the average of all the whole numbers from 57 to 63? (a) 3 (b) 61 (c) 6 (d) 60
  3. 3.What is the average of all the whole numbers from 26 to 50? (a) 39 (b) 12 (c) 38 (d) 24
  4. 4.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 38 (b) 29 (c) 26 (d) 15
  5. 5.What is the average of 54, 49, 73 and 56? (a) 58 (b) 60 (c) 57 (d) 59
  6. 6.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) 15 (b) 16 (c) 30 (d) 65
  7. 7.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 21 (c) 19 (d) 37
  8. 8.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 20 (b) 29 (c) 14 (d) 23
  9. 9.What is the average of 78, 77, 59, 60, 75 and 47? (a) 65 (b) 67 (c) 68 (d) 66
  10. 10.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 58 (b) 27 (c) 8 (d) 7
  11. 11.What is the average of 56, 73, 58, 78, 55 and 94? (a) 69 (b) 70 (c) 68 (d) 71
  12. 12.What is the average of 72, 86, 69 and 69? (a) 75 (b) 73 (c) 74 (d) 76
  13. 13.What is the average of all the whole numbers from 27 to 47? (a) 10 (b) 20 (c) 37 (d) 38
  14. 14.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 25 (b) 32 (c) 47 (d) 27
  15. 15.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 48 (b) 24 (c) 27 (d) 51
  16. 16.What is the average of all the whole numbers from 17 to 49? (a) 16 (b) 34 (c) 32 (d) 33
  17. 17.What is the average of all the whole numbers from 44 to 68? (a) 24 (b) 12 (c) 56 (d) 57
  18. 18.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 25 (b) 54 (c) 69 (d) 49
  19. 19.What is the average of all the whole numbers from 22 to 58? (a) 40 (b) 36 (c) 18 (d) 41
  20. 20.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 85 (c) 37 (d) 54
  21. 21.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 88 (b) 64 (c) 40 (d) 32
  22. 22.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 74 (b) 14 (c) 38 (d) 50
  23. 23.What is the average of 17, 11, 11, 36 and 30? (a) 21 (b) 23 (c) 20 (d) 22
  24. 24.What is the average of 85, 65, 77, 91 and 67? (a) 77 (b) 76 (c) 79 (d) 78
  25. 25.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 60 (b) 39 (c) 24 (d) 75
  26. 26.What is the average of all the whole numbers from 29 to 53? (a) 24 (b) 41 (c) 42 (d) 12
  27. 27.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 56 (b) 30 (c) 35 (d) 55
  28. 28.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 52 (b) 24 (c) 9 (d) 8
  29. 29.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 57 (c) 15 (d) 66
  30. 30.What is the average of 64, 39, 53 and 44? (a) 50 (b) 51 (c) 49 (d) 52
  31. 31.What is the average of all the whole numbers from 45 to 57? (a) 6 (b) 12 (c) 51 (d) 52
  32. 32.What is the average of 80, 88, 66 and 86? (a) 82 (b) 81 (c) 80 (d) 79
  33. 33.What is the average of 45, 46, 50 and 95? (a) 60 (b) 58 (c) 61 (d) 59
  34. 34.What is the average of 62, 68, 59 and 55? (a) 63 (b) 61 (c) 62 (d) 60
  35. 35.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 20 (c) 66 (d) 51
  36. 36.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 125 (b) 70 (c) 69 (d) 62
  37. 37.What is the average of all the whole numbers from 12 to 44? (a) 29 (b) 28 (c) 32 (d) 16
  38. 38.What is the average of 93, 68, 87, 90 and 62? (a) 81 (b) 80 (c) 100 (d) 79
  39. 39.What is the average of 12, 26, 29 and 37? (a) 26 (b) 28 (c) 27 (d) 25
  40. 40.What is the average of 36, 16, 15, 24, 24 and 47? (a) 26 (b) 29 (c) 27 (d) 28

Answer key

  1. 31
  2. 60
  3. 38
  4. 38
  5. 58
  6. 15
  7. 37
  8. 29
  9. 66
  10. 7
  11. 69
  12. 74
  13. 37
  14. 47
  15. 48
  16. 33
  17. 56
  18. 69
  19. 40
  20. 85
  21. 88
  22. 50
  23. 21
  24. 77
  25. 60
  26. 41
  27. 55
  28. 8
  29. 66
  30. 50
  31. 51
  32. 80
  33. 59
  34. 61
  35. 51
  36. 125
  37. 28
  38. 80
  39. 26
  40. 27

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