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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 612 · 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 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 34 (b) 29 (c) 49 (d) 25
  2. 2.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 5 (b) 4 (c) 28 (d) 60
  3. 3.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 65 (b) 50 (c) 20 (d) 35
  4. 4.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 39 (b) 10 (c) 47 (d) 76
  5. 5.What is the average of all the whole numbers from 31 to 57? (a) 26 (b) 13 (c) 44 (d) 45
  6. 6.What is the average of 35, 42, 49, 30 and 34? (a) 37 (b) 40 (c) 38 (d) 39
  7. 7.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 15 (c) 36 (d) 45
  8. 8.What is the average of all the whole numbers from 26 to 38? (a) 33 (b) 12 (c) 6 (d) 32
  9. 9.What is the average of all the whole numbers from 48 to 58? (a) 10 (b) 54 (c) 53 (d) 5
  10. 10.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 37 (b) 17 (c) 3 (d) 2
  11. 11.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 28 (b) 18 (c) 32 (d) 42
  12. 12.What is the average of all the whole numbers from 19 to 41? (a) 31 (b) 30 (c) 11 (d) 22
  13. 13.What is the average of all the whole numbers from 16 to 22? (a) 3 (b) 19 (c) 6 (d) 20
  14. 14.What is the average of 55, 43, 50, 42, 58 and 58? (a) 52 (b) 50 (c) 51 (d) 53
  15. 15.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 61? (a) 61 (b) 54 (c) 109 (d) 67
  16. 16.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 40 (b) 37 (c) 52 (d) 18
  17. 17.What is the average of 77, 91, 65 and 71? (a) 78 (b) 75 (c) 76 (d) 77
  18. 18.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 30 (c) 89 (d) 71
  19. 19.What is the average of 75, 91, 68 and 78? (a) 104 (b) 79 (c) 77 (d) 78
  20. 20.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 78 (b) 24 (c) 38 (d) 25
  21. 21.What is the average of 29, 54, 31, 47, 28 and 57? (a) 40 (b) 43 (c) 42 (d) 41
  22. 22.What is the average of 63, 71, 62, 53, 70 and 41? (a) 72 (b) 61 (c) 59 (d) 60
  23. 23.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 10 (b) 19 (c) 11 (d) 20
  24. 24.What is the average of 35, 47, 27 and 39? (a) 39 (b) 36 (c) 38 (d) 37
  25. 25.What is the average of all the whole numbers from 15 to 33? (a) 25 (b) 9 (c) 24 (d) 18
  26. 26.What is the average of 64, 44, 39, 46, 67 and 58? (a) 54 (b) 55 (c) 53 (d) 52
  27. 27.What is the average of all the whole numbers from 23 to 57? (a) 34 (b) 41 (c) 17 (d) 40
  28. 28.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 23? (a) 14 (b) 25 (c) 23 (d) 35
  29. 29.What is the average of 75, 76, 87 and 82? (a) 79 (b) 82 (c) 80 (d) 81
  30. 30.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 15 (b) 31 (c) 10 (d) 11
  31. 31.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 35 (c) 21 (d) 50
  32. 32.What is the average of 90, 77, 71, 66 and 96? (a) 81 (b) 79 (c) 80 (d) 100
  33. 33.What is the average of all the whole numbers from 29 to 45? (a) 16 (b) 38 (c) 37 (d) 8
  34. 34.What is the average of 57, 52, 49, 72 and 85? (a) 63 (b) 64 (c) 65 (d) 62
  35. 35.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 31 (b) 43 (c) 29 (d) 16
  36. 36.What is the average of all the whole numbers from 46 to 60? (a) 53 (b) 54 (c) 14 (d) 7
  37. 37.What is the average of 66, 92, 82, 77, 77 and 80? (a) 78 (b) 80 (c) 81 (d) 79
  38. 38.What is the average of 73, 57, 67, 71 and 42? (a) 63 (b) 62 (c) 64 (d) 61
  39. 39.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 32 (b) 28 (c) 53 (d) 52
  40. 40.What is the average of 18, 21, 40, 42 and 19? (a) 35 (b) 27 (c) 28 (d) 29

Answer key

  1. 49
  2. 4
  3. 50
  4. 47
  5. 44
  6. 38
  7. 45
  8. 32
  9. 53
  10. 2
  11. 42
  12. 30
  13. 19
  14. 51
  15. 109
  16. 52
  17. 76
  18. 89
  19. 78
  20. 24
  21. 41
  22. 60
  23. 19
  24. 37
  25. 24
  26. 53
  27. 40
  28. 35
  29. 80
  30. 10
  31. 50
  32. 80
  33. 37
  34. 63
  35. 43
  36. 53
  37. 79
  38. 62
  39. 52
  40. 28

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