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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 330 · 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 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 28 (b) 55 (c) 48 (d) 69
  2. 2.What is the average of all the whole numbers from 41 to 73? (a) 58 (b) 32 (c) 16 (d) 57
  3. 3.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 92 (c) 91 (d) 56
  4. 4.What is the average of 16, 8, 33, 34 and 19? (a) 22 (b) 21 (c) 23 (d) 24
  5. 5.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 48 (b) 31 (c) 73 (d) 37
  6. 6.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 31 (b) 14 (c) 60 (d) 43
  7. 7.What is the average of all the whole numbers from 16 to 30? (a) 23 (b) 24 (c) 14 (d) 7
  8. 8.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 7 (b) 23 (c) 33 (d) 17
  9. 9.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 75 (c) 59 (d) 20
  10. 10.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 65 (c) 121 (d) 72
  11. 11.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 52 (c) 16 (d) 64
  12. 12.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 69 (b) 44 (c) 49 (d) 30
  13. 13.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 4 (b) 29 (c) 5 (d) 13
  14. 14.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 17 (b) 37 (c) 5 (d) 6
  15. 15.What is the average of 36, 28, 24 and 56? (a) 35 (b) 48 (c) 37 (d) 36
  16. 16.What is the average of all the whole numbers from 29 to 59? (a) 30 (b) 15 (c) 45 (d) 44
  17. 17.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 74 (b) 64 (c) 122 (d) 66
  18. 18.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 58 (c) 70 (d) 20
  19. 19.What is the average of 33, 57, 52 and 42? (a) 47 (b) 48 (c) 45 (d) 46
  20. 20.What is the average of 49, 40, 19, 34 and 28? (a) 35 (b) 33 (c) 34 (d) 36
  21. 21.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 50 (c) 94 (d) 54
  22. 22.What is the average of 31, 27, 19 and 35? (a) 27 (b) 30 (c) 28 (d) 29
  23. 23.What is the average of all the whole numbers from 23 to 49? (a) 36 (b) 26 (c) 37 (d) 13
  24. 24.What is the average of 66, 62, 82 and 66? (a) 68 (b) 70 (c) 92 (d) 69
  25. 25.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 24 (c) 18 (d) 38
  26. 26.What is the average of 85, 78, 83, 74 and 30? (a) 72 (b) 69 (c) 71 (d) 70
  27. 27.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 28 (b) 19 (c) 58 (d) 18
  28. 28.What is the average of all the whole numbers from 59 to 89? (a) 74 (b) 15 (c) 30 (d) 75
  29. 29.What is the average of 39, 31, 36 and 2? (a) 27 (b) 26 (c) 36 (d) 28
  30. 30.What is the average of 17, 18, 25, 12, 36 and 48? (a) 25 (b) 27 (c) 28 (d) 26
  31. 31.What is the average of all the whole numbers from 44 to 54? (a) 5 (b) 10 (c) 49 (d) 50
  32. 32.What is the average of all the whole numbers from 19 to 37? (a) 29 (b) 9 (c) 18 (d) 28
  33. 33.What is the average of all the whole numbers from 34 to 42? (a) 39 (b) 4 (c) 38 (d) 8
  34. 34.What is the average of all the whole numbers from 7 to 27? (a) 10 (b) 18 (c) 20 (d) 17
  35. 35.What is the average of all the whole numbers from 48 to 58? (a) 54 (b) 5 (c) 10 (d) 53
  36. 36.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 88 (b) 63 (c) 30 (d) 68
  37. 37.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 16 (b) 45 (c) 57 (d) 49
  38. 38.What is the average of 42, 44, 28, 42, 22 and 14? (a) 33 (b) 31 (c) 32 (d) 34
  39. 39.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 23 (b) 6 (c) 17 (d) 12
  40. 40.What is the average of 15, 31, 36, 36 and 22? (a) 28 (b) 29 (c) 35 (d) 27

Answer key

  1. 69
  2. 57
  3. 91
  4. 22
  5. 73
  6. 43
  7. 23
  8. 23
  9. 75
  10. 121
  11. 64
  12. 69
  13. 4
  14. 5
  15. 36
  16. 44
  17. 122
  18. 70
  19. 46
  20. 34
  21. 94
  22. 28
  23. 36
  24. 69
  25. 38
  26. 70
  27. 18
  28. 74
  29. 27
  30. 26
  31. 49
  32. 28
  33. 38
  34. 17
  35. 53
  36. 88
  37. 57
  38. 32
  39. 17
  40. 28

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