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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 302 · 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 all the whole numbers from 54 to 60? (a) 6 (b) 57 (c) 58 (d) 3
  2. 2.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 60? (a) 60 (b) 48 (c) 102 (d) 66
  3. 3.What is the average of 17, 31, 39 and 13? (a) 26 (b) 25 (c) 27 (d) 24
  4. 4.What is the average of all the whole numbers from 34 to 48? (a) 7 (b) 42 (c) 41 (d) 14
  5. 5.What is the average of 44, 45, 43 and 32? (a) 41 (b) 43 (c) 42 (d) 40
  6. 6.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 23? (a) 16 (b) 37 (c) 23 (d) 25
  7. 7.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 24 (b) 62 (c) 56 (d) 74
  8. 8.What is the average of all the whole numbers from 51 to 69? (a) 61 (b) 60 (c) 18 (d) 9
  9. 9.What is the average of 63, 68, 89, 91 and 74? (a) 78 (b) 79 (c) 76 (d) 77
  10. 10.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 35 (b) 20 (c) 37 (d) 36
  11. 11.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 12 (b) 27 (c) 24 (d) 33
  12. 12.What is the average of 25, 20, 6, 7 and 42? (a) 21 (b) 20 (c) 19 (d) 25
  13. 13.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 41 (b) 35 (c) 33 (d) 10
  14. 14.What is the average of all the whole numbers from 27 to 51? (a) 24 (b) 39 (c) 40 (d) 12
  15. 15.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 55 (b) 50 (c) 29 (d) 24
  16. 16.What is the average of all the whole numbers from 52 to 90? (a) 72 (b) 71 (c) 38 (d) 19
  17. 17.What is the average of 20, 42, 36 and 30? (a) 31 (b) 34 (c) 33 (d) 32
  18. 18.What is the average of all the whole numbers from 36 to 48? (a) 42 (b) 6 (c) 12 (d) 43
  19. 19.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 24 (c) 51 (d) 39
  20. 20.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 21 (b) 49 (c) 95 (d) 67
  21. 21.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 16 (b) 31 (c) 8 (d) 23
  22. 22.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 25 (b) 33 (c) 21 (d) 13
  23. 23.What is the average of all the whole numbers from 35 to 59? (a) 47 (b) 48 (c) 12 (d) 24
  24. 24.What is the average of 57, 62, 45, 34 and 42? (a) 49 (b) 48 (c) 60 (d) 47
  25. 25.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 36 (b) 27 (c) 51 (d) 12
  26. 26.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 36 (b) 65 (c) 93 (d) 61
  27. 27.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 51 (b) 44 (c) 100 (d) 63
  28. 28.What is the average of all the whole numbers from 53 to 67? (a) 61 (b) 60 (c) 14 (d) 7
  29. 29.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 49 (b) 47 (c) 46 (d) 99
  30. 30.What is the average of 66, 51, 62, 49, 49 and 71? (a) 60 (b) 57 (c) 58 (d) 59
  31. 31.What is the average of 47, 26, 44 and 47? (a) 40 (b) 43 (c) 41 (d) 42
  32. 32.What is the average of 6, 15, 21, 25 and 38? (a) 21 (b) 23 (c) 20 (d) 22
  33. 33.What is the average of 49, 26, 50, 40, 46 and 23? (a) 38 (b) 41 (c) 40 (d) 39
  34. 34.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 39 (b) 12 (c) 29 (d) 31
  35. 35.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 47 (b) 41 (c) 59 (d) 24
  36. 36.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 44 (b) 36 (c) 16 (d) 32
  37. 37.What is the average of 33, 39, 36, 32, 47 and 35? (a) 39 (b) 38 (c) 37 (d) 36
  38. 38.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 34? (a) 42 (b) 64 (c) 34 (d) 90
  39. 39.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 33 (b) 62 (c) 32 (d) 61
  40. 40.What is the average of all the whole numbers from 31 to 49? (a) 9 (b) 41 (c) 18 (d) 40

Answer key

  1. 57
  2. 102
  3. 25
  4. 41
  5. 41
  6. 37
  7. 74
  8. 60
  9. 77
  10. 36
  11. 33
  12. 20
  13. 41
  14. 39
  15. 50
  16. 71
  17. 32
  18. 42
  19. 51
  20. 67
  21. 23
  22. 33
  23. 47
  24. 48
  25. 36
  26. 93
  27. 100
  28. 60
  29. 46
  30. 58
  31. 41
  32. 21
  33. 39
  34. 39
  35. 59
  36. 44
  37. 37
  38. 90
  39. 61
  40. 40

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