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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 139 · 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 8 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 16 (b) 10 (c) 38 (d) 32
  2. 2.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 88 (b) 42 (c) 19 (d) 18
  3. 3.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) 54 (b) 48 (c) 24 (d) 66
  4. 4.What is the average of 53, 33, 31, 49 and 34? (a) 41 (b) 40 (c) 39 (d) 50
  5. 5.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 50? (a) 12 (b) 53 (c) 50 (d) 59
  6. 6.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 60 (b) 52 (c) 108 (d) 64
  7. 7.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 42 (c) 32 (d) 24
  8. 8.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 61? (a) 89 (b) 65 (c) 61 (d) 32
  9. 9.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 38 (b) 26 (c) 30 (d) 16
  10. 10.What is the average of all the whole numbers from 5 to 19? (a) 7 (b) 12 (c) 14 (d) 13
  11. 11.What is the average of 37, 42, 55 and 62? (a) 48 (b) 50 (c) 49 (d) 51
  12. 12.What is the average of 55, 70, 65, 53 and 87? (a) 68 (b) 66 (c) 65 (d) 67
  13. 13.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 74 (b) 49 (c) 30 (d) 54
  14. 14.What is the average of all the whole numbers from 59 to 85? (a) 26 (b) 73 (c) 13 (d) 72
  15. 15.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 32 (b) 9 (c) 8 (d) 68
  16. 16.What is the average of 21, 16, 14 and 65? (a) 29 (b) 28 (c) 30 (d) 31
  17. 17.What is the average of 22, 38, 28, 24 and 23? (a) 28 (b) 27 (c) 26 (d) 29
  18. 18.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 24 (b) 50 (c) 53 (d) 71
  19. 19.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 27 (c) 43 (d) 20
  20. 20.What is the average of all the whole numbers from 10 to 50? (a) 20 (b) 40 (c) 31 (d) 30
  21. 21.What is the average of 12, 36, 25, 12 and 35? (a) 23 (b) 25 (c) 30 (d) 24
  22. 22.What is the average of 56, 36, 32 and 60? (a) 45 (b) 46 (c) 48 (d) 47
  23. 23.What is the average of 11, 21, 22, 16, 22 and 58? (a) 30 (b) 24 (c) 26 (d) 25
  24. 24.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 27? (a) 27 (b) 47 (c) 31 (d) 24
  25. 25.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 18 (b) 54 (c) 56 (d) 70
  26. 26.What is the average of 60, 72, 53, 75 and 60? (a) 63 (b) 65 (c) 80 (d) 64
  27. 27.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 28 (b) 96 (c) 74 (d) 50
  28. 28.What is the average of 61, 51, 63 and 57? (a) 59 (b) 60 (c) 57 (d) 58
  29. 29.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 40 (b) 50 (c) 35 (d) 20
  30. 30.What is the average of 31, 19, 34, 25, 32 and 63? (a) 34 (b) 35 (c) 33 (d) 36
  31. 31.What is the average of 60, 45, 59 and 28? (a) 47 (b) 48 (c) 64 (d) 49
  32. 32.What is the average of all the whole numbers from 15 to 55? (a) 20 (b) 36 (c) 40 (d) 35
  33. 33.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 51 (b) 27 (c) 30 (d) 52
  34. 34.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 35? (a) 50 (b) 35 (c) 40 (d) 80
  35. 35.What is the average of 32, 40, 34 and 70? (a) 43 (b) 45 (c) 44 (d) 46
  36. 36.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 66 (b) 115 (c) 63 (d) 59
  37. 37.What is the average of all the whole numbers from 40 to 74? (a) 17 (b) 34 (c) 58 (d) 57
  38. 38.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 28 (c) 14 (d) 40
  39. 39.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 28 (b) 66 (c) 45 (d) 52
  40. 40.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 31 (c) 29 (d) 17

Answer key

  1. 38
  2. 18
  3. 66
  4. 40
  5. 59
  6. 108
  7. 42
  8. 89
  9. 38
  10. 12
  11. 49
  12. 66
  13. 74
  14. 72
  15. 8
  16. 29
  17. 27
  18. 71
  19. 43
  20. 30
  21. 24
  22. 46
  23. 25
  24. 47
  25. 70
  26. 64
  27. 74
  28. 58
  29. 50
  30. 34
  31. 48
  32. 35
  33. 51
  34. 80
  35. 44
  36. 115
  37. 57
  38. 40
  39. 66
  40. 29

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