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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 409 · 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 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 55 (b) 16 (c) 63 (d) 51
  2. 2.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 3 (b) 48 (c) 2 (d) 22
  3. 3.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 20 (b) 41 (c) 43 (d) 59
  4. 4.What is the average of 62, 65, 64 and 113? (a) 75 (b) 78 (c) 76 (d) 77
  5. 5.What is the average of all the whole numbers from 51 to 85? (a) 17 (b) 69 (c) 68 (d) 34
  6. 6.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 89 (b) 28 (c) 42 (d) 27
  7. 7.What is the average of 38, 23, 35, 19 and 50? (a) 32 (b) 35 (c) 34 (d) 33
  8. 8.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 37 (b) 23 (c) 22 (d) 79
  9. 9.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) 48 (c) 79 (d) 47
  10. 10.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 87 (c) 54 (d) 45
  11. 11.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 28 (c) 53 (d) 39
  12. 12.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 12 (b) 19 (c) 20 (d) 11
  13. 13.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 37 (c) 12 (d) 43
  14. 14.What is the average of 42, 41, 52, 33 and 72? (a) 47 (b) 49 (c) 60 (d) 48
  15. 15.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 25 (c) 53 (d) 38
  16. 16.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 71 (b) 23 (c) 34 (d) 22
  17. 17.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 69 (b) 28 (c) 27 (d) 34
  18. 18.What is the average of all the whole numbers from 19 to 49? (a) 30 (b) 35 (c) 15 (d) 34
  19. 19.What is the average of all the whole numbers from 24 to 48? (a) 37 (b) 36 (c) 12 (d) 24
  20. 20.What is the average of 80, 69, 61, 85, 68 and 69? (a) 71 (b) 74 (c) 73 (d) 72
  21. 21.What is the average of all the whole numbers from 7 to 45? (a) 26 (b) 38 (c) 19 (d) 27
  22. 22.A batter has an average of 39 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 63 (b) 45 (c) 42 (d) 24
  23. 23.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 27? (a) 27 (b) 45 (c) 30 (d) 21
  24. 24.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 35 (b) 57 (c) 7 (d) 29
  25. 25.What is the average of 56, 49, 54, 67 and 94? (a) 63 (b) 80 (c) 65 (d) 64
  26. 26.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 39 (c) 54 (d) 25
  27. 27.What is the average of all the whole numbers from 34 to 48? (a) 14 (b) 7 (c) 42 (d) 41
  28. 28.What is the average of 43, 34, 25, 27, 46 and 65? (a) 48 (b) 39 (c) 40 (d) 41
  29. 29.What is the average of 60, 55, 61, 79, 51 and 90? (a) 67 (b) 68 (c) 66 (d) 65
  30. 30.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 26 (b) 57 (c) 1 (d) 2
  31. 31.What is the average of 29, 20, 40, 21 and 60? (a) 34 (b) 35 (c) 33 (d) 36
  32. 32.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 33 (b) 15 (c) 69 (d) 16
  33. 33.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) 45 (b) 16 (c) 49 (d) 57
  34. 34.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 33 (b) 39 (c) 25 (d) 19
  35. 35.What is the average of 56, 51, 40, 34, 37 and 34? (a) 44 (b) 43 (c) 41 (d) 42
  36. 36.What is the average of all the whole numbers from 60 to 82? (a) 71 (b) 11 (c) 72 (d) 22
  37. 37.What is the average of 76, 81, 88 and 63? (a) 78 (b) 79 (c) 76 (d) 77
  38. 38.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 30 (b) 1 (c) 2 (d) 13
  39. 39.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 42 (b) 16 (c) 36 (d) 22
  40. 40.What is the average of all the whole numbers from 6 to 38? (a) 23 (b) 16 (c) 32 (d) 22

Answer key

  1. 63
  2. 2
  3. 59
  4. 76
  5. 68
  6. 27
  7. 33
  8. 22
  9. 79
  10. 87
  11. 53
  12. 20
  13. 43
  14. 48
  15. 53
  16. 22
  17. 27
  18. 34
  19. 36
  20. 72
  21. 26
  22. 63
  23. 45
  24. 35
  25. 64
  26. 54
  27. 41
  28. 40
  29. 66
  30. 1
  31. 34
  32. 15
  33. 57
  34. 39
  35. 42
  36. 71
  37. 77
  38. 1
  39. 36
  40. 22

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