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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 579 · 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 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 83 (b) 41 (c) 49 (d) 48
  2. 2.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 8 (b) 17 (c) 24 (d) 33
  3. 3.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) 32 (b) 40 (c) 64 (d) 88
  4. 4.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 8 (b) 38 (c) 62 (d) 32
  5. 5.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 30 (c) 52 (d) 72
  6. 6.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 31? (a) 40 (b) 31 (c) 39 (d) 63
  7. 7.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 62? (a) 62 (b) 64 (c) 68 (d) 8
  8. 8.What is the average of 54, 55, 60 and 43? (a) 55 (b) 52 (c) 53 (d) 54
  9. 9.What is the average of 32, 13, 22, 24, 14 and 57? (a) 28 (b) 29 (c) 26 (d) 27
  10. 10.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 66? (a) 42 (b) 66 (c) 72 (d) 102
  11. 11.What is the average of all the whole numbers from 44 to 82? (a) 63 (b) 64 (c) 19 (d) 38
  12. 12.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 42 (b) 85 (c) 39 (d) 40
  13. 13.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 47 (c) 2 (d) 1
  14. 14.What is the average of 18, 21, 12 and 45? (a) 23 (b) 32 (c) 24 (d) 25
  15. 15.What is the average of all the whole numbers from 23 to 31? (a) 8 (b) 27 (c) 4 (d) 28
  16. 16.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 56 (b) 26 (c) 35 (d) 47
  17. 17.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 66 (c) 32 (d) 38
  18. 18.What is the average of 49, 44, 60, 36, 54 and 39? (a) 46 (b) 48 (c) 47 (d) 49
  19. 19.What is the average of 24, 46, 24, 22 and 69? (a) 38 (b) 37 (c) 36 (d) 39
  20. 20.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 26? (a) 26 (b) 16 (c) 40 (d) 28
  21. 21.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 25 (b) 38 (c) 18 (d) 31
  22. 22.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 49 (b) 37 (c) 16 (d) 70
  23. 23.What is the average of 47, 43, 32 and 58? (a) 46 (b) 44 (c) 60 (d) 45
  24. 24.What is the average of all the whole numbers from 14 to 32? (a) 18 (b) 9 (c) 24 (d) 23
  25. 25.What is the average of 72, 75, 73, 93 and 77? (a) 77 (b) 79 (c) 80 (d) 78
  26. 26.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 33 (b) 60 (c) 81 (d) 27
  27. 27.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 79 (c) 47 (d) 48
  28. 28.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 30 (b) 59 (c) 35 (d) 32
  29. 29.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 61 (b) 82 (c) 58 (d) 27
  30. 30.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 73 (b) 56 (c) 38 (d) 21
  31. 31.What is the average of 34, 43, 54 and 45? (a) 44 (b) 43 (c) 45 (d) 46
  32. 32.What is the average of 28, 13, 11 and 52? (a) 25 (b) 27 (c) 28 (d) 26
  33. 33.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 29 (b) 10 (c) 40 (d) 21
  34. 34.What is the average of all the whole numbers from 9 to 15? (a) 13 (b) 6 (c) 12 (d) 3
  35. 35.What is the average of 67, 55, 66, 47 and 75? (a) 63 (b) 61 (c) 62 (d) 64
  36. 36.What is the average of all the whole numbers from 8 to 24? (a) 16 (b) 15 (c) 8 (d) 17
  37. 37.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) 63 (b) 115 (c) 59 (d) 66
  38. 38.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 52? (a) 52 (b) 60 (c) 48 (d) 92
  39. 39.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 31? (a) 20 (b) 46 (c) 31 (d) 36
  40. 40.What is the average of all the whole numbers from 53 to 63? (a) 58 (b) 5 (c) 59 (d) 10

Answer key

  1. 83
  2. 24
  3. 88
  4. 38
  5. 72
  6. 63
  7. 68
  8. 53
  9. 27
  10. 102
  11. 63
  12. 39
  13. 1
  14. 24
  15. 27
  16. 56
  17. 66
  18. 47
  19. 37
  20. 40
  21. 38
  22. 49
  23. 45
  24. 23
  25. 78
  26. 81
  27. 79
  28. 59
  29. 82
  30. 56
  31. 44
  32. 26
  33. 29
  34. 12
  35. 62
  36. 16
  37. 115
  38. 92
  39. 46
  40. 58

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