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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 588 · 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 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 21 (b) 28 (c) 46 (d) 31
  2. 2.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 14 (b) 19 (c) 40 (d) 13
  3. 3.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 88 (b) 14 (c) 45 (d) 57
  4. 4.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 30 (b) 29 (c) 79 (d) 38
  5. 5.What is the average of 65, 75, 92, 79, 72 and 91? (a) 79 (b) 78 (c) 81 (d) 80
  6. 6.What is the average of 49, 59, 53 and 23? (a) 47 (b) 46 (c) 48 (d) 45
  7. 7.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 41 (b) 34 (c) 22 (d) 15
  8. 8.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 26 (b) 4 (c) 51 (d) 29
  9. 9.What is the average of 27, 33, 55 and 45? (a) 41 (b) 42 (c) 40 (d) 39
  10. 10.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 10 (b) 70 (c) 62 (d) 64
  11. 11.What is the average of all the whole numbers from 57 to 87? (a) 30 (b) 15 (c) 73 (d) 72
  12. 12.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 61 (b) 40 (c) 68 (d) 33
  13. 13.What is the average of 42, 52, 49, 30, 29 and 26? (a) 37 (b) 38 (c) 40 (d) 39
  14. 14.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 106 (b) 64 (c) 57 (d) 56
  15. 15.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 47? (a) 47 (b) 50 (c) 59 (d) 15
  16. 16.What is the average of 39, 50, 55, 47, 34 and 27? (a) 41 (b) 43 (c) 42 (d) 44
  17. 17.What is the average of 62, 47, 47, 44 and 65? (a) 54 (b) 55 (c) 53 (d) 52
  18. 18.What is the average of 49, 50, 30, 42 and 39? (a) 41 (b) 42 (c) 44 (d) 43
  19. 19.What is the average of all the whole numbers from 42 to 82? (a) 40 (b) 63 (c) 20 (d) 62
  20. 20.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 39 (b) 16 (c) 17 (d) 19
  21. 21.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 58 (b) 28 (c) 35 (d) 51
  22. 22.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 68 (b) 35 (c) 38 (d) 43
  23. 23.What is the average of 51, 54, 30, 38, 26 and 41? (a) 40 (b) 41 (c) 48 (d) 39
  24. 24.What is the average of all the whole numbers from 19 to 29? (a) 25 (b) 24 (c) 5 (d) 10
  25. 25.What is the average of 45, 40, 57 and 30? (a) 43 (b) 42 (c) 45 (d) 44
  26. 26.A batter has an average of 30 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 48 (c) 38 (d) 78
  27. 27.What is the average of all the whole numbers from 45 to 81? (a) 64 (b) 18 (c) 63 (d) 36
  28. 28.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 37 (b) 31 (c) 30 (d) 75
  29. 29.What is the average of all the whole numbers from 32 to 44? (a) 12 (b) 38 (c) 39 (d) 6
  30. 30.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 24? (a) 27 (b) 46 (c) 24 (d) 45
  31. 31.What is the average of 84, 73, 82 and 77? (a) 80 (b) 81 (c) 78 (d) 79
  32. 32.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 55 (b) 70 (c) 50 (d) 25
  33. 33.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 28 (b) 10 (c) 20 (d) 38
  34. 34.What is the average of all the whole numbers from 8 to 22? (a) 15 (b) 16 (c) 14 (d) 7
  35. 35.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 49 (b) 41 (c) 89 (d) 56
  36. 36.What is the average of all the whole numbers from 9 to 23? (a) 7 (b) 17 (c) 16 (d) 14
  37. 37.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 45 (b) 5 (c) 27 (d) 23
  38. 38.What is the average of all the whole numbers from 13 to 23? (a) 5 (b) 18 (c) 10 (d) 19
  39. 39.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 85 (b) 53 (c) 48 (d) 45
  40. 40.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 37? (a) 37 (b) 43 (c) 61 (d) 30

Answer key

  1. 46
  2. 13
  3. 57
  4. 29
  5. 79
  6. 46
  7. 34
  8. 29
  9. 40
  10. 70
  11. 72
  12. 68
  13. 38
  14. 106
  15. 59
  16. 42
  17. 53
  18. 42
  19. 62
  20. 16
  21. 58
  22. 68
  23. 40
  24. 24
  25. 43
  26. 78
  27. 63
  28. 30
  29. 38
  30. 45
  31. 79
  32. 70
  33. 28
  34. 15
  35. 89
  36. 16
  37. 27
  38. 18
  39. 85
  40. 61

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