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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 512 · 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 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 60 (b) 36 (c) 44 (d) 32
  2. 2.What is the average of 38, 31, 10, 27, 36 and 2? (a) 25 (b) 24 (c) 26 (d) 23
  3. 3.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 11 (b) 20 (c) 27 (d) 18
  4. 4.What is the average of all the whole numbers from 26 to 62? (a) 18 (b) 45 (c) 44 (d) 36
  5. 5.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 26 (c) 12 (d) 32
  6. 6.What is the average of 28, 15, 22 and 15? (a) 21 (b) 22 (c) 19 (d) 20
  7. 7.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 36 (b) 58 (c) 64 (d) 88
  8. 8.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 114 (b) 66 (c) 60 (d) 115
  9. 9.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 26 (b) 74 (c) 27 (d) 36
  10. 10.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 88 (b) 46 (c) 20 (d) 62
  11. 11.What is the average of all the whole numbers from 53 to 69? (a) 16 (b) 62 (c) 8 (d) 61
  12. 12.What is the average of 79, 70, 56, 59, 61 and 59? (a) 63 (b) 65 (c) 66 (d) 64
  13. 13.What is the average of 79, 68, 67, 59, 65 and 64? (a) 68 (b) 66 (c) 69 (d) 67
  14. 14.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 49 (b) 12 (c) 39 (d) 41
  15. 15.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 52 (b) 74 (c) 16 (d) 38
  16. 16.What is the average of all the whole numbers from 36 to 68? (a) 52 (b) 53 (c) 16 (d) 32
  17. 17.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 56 (b) 39 (c) 46 (d) 88
  18. 18.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 26 (b) 27 (c) 70 (d) 34
  19. 19.What is the average of 50, 38, 39 and 45? (a) 42 (b) 43 (c) 44 (d) 45
  20. 20.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 28 (b) 24 (c) 36 (d) 16
  21. 21.What is the average of 30, 33, 47 and 46? (a) 52 (b) 39 (c) 38 (d) 40
  22. 22.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 26 (b) 5 (c) 22 (d) 43
  23. 23.What is the average of 8, 28, 28, 5 and 31? (a) 21 (b) 20 (c) 19 (d) 25
  24. 24.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 84 (b) 27 (c) 41 (d) 28
  25. 25.What is the average of 58, 54, 37, 46, 56 and 49? (a) 60 (b) 51 (c) 49 (d) 50
  26. 26.What is the average of all the whole numbers from 51 to 77? (a) 64 (b) 26 (c) 65 (d) 13
  27. 27.What is the average of all the whole numbers from 25 to 53? (a) 14 (b) 40 (c) 28 (d) 39
  28. 28.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 14 (b) 94 (c) 48 (d) 60
  29. 29.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 29 (b) 28 (c) 95 (d) 46
  30. 30.What is the average of 50, 45, 60, 48 and 72? (a) 57 (b) 56 (c) 54 (d) 55
  31. 31.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 10 (b) 18 (c) 20 (d) 12
  32. 32.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 39 (b) 25 (c) 48 (d) 16
  33. 33.What is the average of 35, 14, 30 and 21? (a) 25 (b) 24 (c) 27 (d) 26
  34. 34.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 27 (c) 8 (d) 20
  35. 35.What is the average of all the whole numbers from 38 to 54? (a) 8 (b) 47 (c) 16 (d) 46
  36. 36.What is the average of all the whole numbers from 5 to 39? (a) 34 (b) 23 (c) 22 (d) 17
  37. 37.What is the average of 32, 39, 32 and 41? (a) 48 (b) 37 (c) 36 (d) 35
  38. 38.What is the average of 86, 87, 79, 74, 90 and 52? (a) 77 (b) 79 (c) 80 (d) 78
  39. 39.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 48 (b) 95 (c) 8 (d) 55
  40. 40.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 13 (b) 12 (c) 22 (d) 46

Answer key

  1. 60
  2. 24
  3. 27
  4. 44
  5. 32
  6. 20
  7. 88
  8. 114
  9. 26
  10. 62
  11. 61
  12. 64
  13. 67
  14. 49
  15. 52
  16. 52
  17. 88
  18. 26
  19. 43
  20. 36
  21. 39
  22. 26
  23. 20
  24. 27
  25. 50
  26. 64
  27. 39
  28. 60
  29. 28
  30. 55
  31. 20
  32. 39
  33. 25
  34. 27
  35. 46
  36. 22
  37. 36
  38. 78
  39. 55
  40. 12

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