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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 642 · 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 52 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 20 (b) 56 (c) 60 (d) 72
  2. 2.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 67? (a) 67 (b) 88 (c) 28 (d) 74
  3. 3.What is the average of 37, 47, 37 and 15? (a) 35 (b) 36 (c) 33 (d) 34
  4. 4.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 99 (b) 56 (c) 7 (d) 50
  5. 5.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 31 (b) 29 (c) 16 (d) 18
  6. 6.What is the average of all the whole numbers from 24 to 34? (a) 10 (b) 5 (c) 30 (d) 29
  7. 7.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 40 (b) 51 (c) 55 (d) 87
  8. 8.What is the average of 64, 60, 67, 67, 85 and 101? (a) 75 (b) 73 (c) 74 (d) 76
  9. 9.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 51 (b) 20 (c) 66 (d) 35
  10. 10.What is the average of 26, 30, 28, 20 and 31? (a) 27 (b) 29 (c) 26 (d) 28
  11. 11.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 25 (b) 4 (c) 49 (d) 28
  12. 12.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 14 (b) 15 (c) 29 (d) 63
  13. 13.What is the average of 81, 81, 82, 53 and 43? (a) 85 (b) 67 (c) 69 (d) 68
  14. 14.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 63 (b) 42 (c) 33 (d) 12
  15. 15.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) 28 (c) 40 (d) 16
  16. 16.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 37 (b) 32 (c) 76 (d) 31
  17. 17.What is the average of 37, 38, 64, 57, 35 and 69? (a) 60 (b) 49 (c) 50 (d) 51
  18. 18.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 84 (b) 32 (c) 60 (d) 56
  19. 19.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 54 (b) 30 (c) 55 (d) 27
  20. 20.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 61 (c) 25 (d) 46
  21. 21.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 17 (c) 32 (d) 16
  22. 22.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) 63 (b) 68 (c) 30 (d) 88
  23. 23.What is the average of all the whole numbers from 31 to 59? (a) 14 (b) 28 (c) 45 (d) 46
  24. 24.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 17 (b) 6 (c) 5 (d) 38
  25. 25.What is the average of 22, 19, 27, 30 and 62? (a) 40 (b) 31 (c) 33 (d) 32
  26. 26.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 12 (b) 71 (c) 65 (d) 62
  27. 27.What is the average of all the whole numbers from 31 to 41? (a) 37 (b) 5 (c) 10 (d) 36
  28. 28.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 41 (b) 20 (c) 15 (d) 14
  29. 29.What is the average of 21, 22, 36, 16, 33 and 52? (a) 31 (b) 30 (c) 29 (d) 36
  30. 30.What is the average of all the whole numbers from 15 to 23? (a) 20 (b) 8 (c) 19 (d) 4
  31. 31.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 28 (b) 59 (c) 10 (d) 11
  32. 32.What is the average of all the whole numbers from 35 to 57? (a) 46 (b) 22 (c) 47 (d) 11
  33. 33.What is the average of 34, 48, 38, 47 and 68? (a) 46 (b) 47 (c) 49 (d) 48
  34. 34.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 28 (b) 35 (c) 55 (d) 8
  35. 35.What is the average of 78, 79, 89 and 58? (a) 78 (b) 76 (c) 75 (d) 77
  36. 36.What is the average of all the whole numbers from 22 to 54? (a) 32 (b) 16 (c) 39 (d) 38
  37. 37.What is the average of 44, 70, 57 and 53? (a) 58 (b) 55 (c) 57 (d) 56
  38. 38.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 55 (b) 16 (c) 41 (d) 80
  39. 39.What is the average of 75, 67, 77, 68, 79 and 30? (a) 65 (b) 66 (c) 67 (d) 68
  40. 40.What is the average of 89, 90, 74, 76 and 66? (a) 79 (b) 81 (c) 78 (d) 80

Answer key

  1. 72
  2. 88
  3. 34
  4. 56
  5. 31
  6. 29
  7. 87
  8. 74
  9. 51
  10. 27
  11. 28
  12. 14
  13. 68
  14. 42
  15. 40
  16. 31
  17. 50
  18. 84
  19. 54
  20. 61
  21. 31
  22. 88
  23. 45
  24. 5
  25. 32
  26. 71
  27. 36
  28. 14
  29. 30
  30. 19
  31. 10
  32. 46
  33. 47
  34. 35
  35. 76
  36. 38
  37. 56
  38. 55
  39. 66
  40. 79

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