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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 744 · 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 31 to 43? (a) 37 (b) 6 (c) 38 (d) 12
  2. 2.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 24 (b) 18 (c) 32 (d) 38
  3. 3.What is the average of all the whole numbers from 50 to 66? (a) 16 (b) 8 (c) 59 (d) 58
  4. 4.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 80 (c) 54 (d) 38
  5. 5.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 6 (b) 21 (c) 7 (d) 47
  6. 6.What is the average of 45, 30, 50 and 23? (a) 39 (b) 37 (c) 38 (d) 36
  7. 7.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 86 (b) 46 (c) 41 (d) 50
  8. 8.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 56 (b) 20 (c) 27 (d) 19
  9. 9.What is the average of 86, 92, 65 and 77? (a) 79 (b) 82 (c) 81 (d) 80
  10. 10.What is the average of all the whole numbers from 57 to 69? (a) 63 (b) 64 (c) 12 (d) 6
  11. 11.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 18 (b) 36 (c) 21 (d) 33
  12. 12.What is the average of all the whole numbers from 55 to 67? (a) 12 (b) 62 (c) 61 (d) 6
  13. 13.What is the average of all the whole numbers from 54 to 84? (a) 69 (b) 30 (c) 15 (d) 70
  14. 14.What is the average of 50, 50, 67, 52 and 61? (a) 57 (b) 70 (c) 56 (d) 55
  15. 15.What is the average of 75, 69, 63, 61 and 107? (a) 74 (b) 77 (c) 75 (d) 76
  16. 16.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 16 (b) 65 (c) 61 (d) 73
  17. 17.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 72 (b) 23 (c) 34 (d) 22
  18. 18.What is the average of 30, 47, 53, 34, 54 and 46? (a) 44 (b) 43 (c) 45 (d) 46
  19. 19.What is the average of all the whole numbers from 57 to 63? (a) 61 (b) 3 (c) 60 (d) 6
  20. 20.What is the average of 62, 38, 62, 43, 46 and 37? (a) 49 (b) 50 (c) 47 (d) 48
  21. 21.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 9 (b) 83 (c) 10 (d) 39
  22. 22.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 32 (b) 12 (c) 29 (d) 38
  23. 23.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 50 (c) 32 (d) 66
  24. 24.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 35 (b) 34 (c) 64 (d) 63
  25. 25.What is the average of all the whole numbers from 19 to 27? (a) 8 (b) 4 (c) 24 (d) 23
  26. 26.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 37 (b) 71 (c) 49 (d) 15
  27. 27.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 68? (a) 92 (b) 76 (c) 68 (d) 32
  28. 28.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 16 (b) 56 (c) 68 (d) 60
  29. 29.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 28 (b) 48 (c) 52 (d) 24
  30. 30.What is the average of all the whole numbers from 19 to 31? (a) 6 (b) 26 (c) 12 (d) 25
  31. 31.What is the average of all the whole numbers from 35 to 43? (a) 40 (b) 4 (c) 39 (d) 8
  32. 32.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 16 (c) 72 (d) 64
  33. 33.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 38 (b) 31 (c) 78 (d) 30
  34. 34.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 37 (b) 85 (c) 31 (d) 60
  35. 35.What is the average of 24, 38, 53, 42 and 38? (a) 39 (b) 38 (c) 40 (d) 41
  36. 36.What is the average of 74, 58, 68 and 84? (a) 70 (b) 72 (c) 71 (d) 73
  37. 37.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 53 (b) 23 (c) 22 (d) 26
  38. 38.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 30 (b) 32 (c) 59 (d) 57
  39. 39.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 10 (b) 45 (c) 47 (d) 53
  40. 40.What is the average of 45, 31, 33 and 27? (a) 36 (b) 33 (c) 35 (d) 34

Answer key

  1. 37
  2. 38
  3. 58
  4. 80
  5. 6
  6. 37
  7. 86
  8. 19
  9. 80
  10. 63
  11. 36
  12. 61
  13. 69
  14. 56
  15. 75
  16. 73
  17. 22
  18. 44
  19. 60
  20. 48
  21. 9
  22. 38
  23. 66
  24. 64
  25. 23
  26. 49
  27. 92
  28. 68
  29. 48
  30. 25
  31. 39
  32. 72
  33. 30
  34. 85
  35. 39
  36. 71
  37. 22
  38. 57
  39. 53
  40. 34

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