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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 741 · 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.What is the average of 26, 26, 23 and 25? (a) 26 (b) 27 (c) 24 (d) 25
  2. 2.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) 94 (b) 48 (c) 60 (d) 14
  3. 3.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 29 (b) 16 (c) 41 (d) 54
  4. 4.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 48 (b) 28 (c) 26 (d) 50
  5. 5.What is the average of 61, 78, 55, 56 and 75? (a) 67 (b) 64 (c) 65 (d) 66
  6. 6.What is the average of all the whole numbers from 14 to 42? (a) 29 (b) 28 (c) 27 (d) 14
  7. 7.What is the average of 50, 37, 47, 53 and 43? (a) 48 (b) 45 (c) 46 (d) 47
  8. 8.What is the average of all the whole numbers from 55 to 95? (a) 75 (b) 76 (c) 20 (d) 40
  9. 9.What is the average of 21, 24, 8 and 35? (a) 23 (b) 21 (c) 24 (d) 22
  10. 10.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 49 (c) 70 (d) 105
  11. 11.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 49 (b) 7 (c) 31 (d) 25
  12. 12.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 3 (b) 2 (c) 79 (d) 37
  13. 13.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 54 (b) 48 (c) 36 (d) 78
  14. 14.What is the average of 7, 26, 25 and 26? (a) 28 (b) 22 (c) 20 (d) 21
  15. 15.What is the average of 46, 39, 52 and 71? (a) 52 (b) 53 (c) 51 (d) 54
  16. 16.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 64 (b) 26 (c) 25 (d) 31
  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 62? (a) 32 (b) 90 (c) 66 (d) 62
  18. 18.What is the average of all the whole numbers from 32 to 46? (a) 39 (b) 40 (c) 7 (d) 14
  19. 19.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 44 (b) 83 (c) 25 (d) 64
  20. 20.What is the average of all the whole numbers from 38 to 50? (a) 6 (b) 12 (c) 44 (d) 45
  21. 21.What is the average of all the whole numbers from 10 to 16? (a) 6 (b) 13 (c) 3 (d) 14
  22. 22.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 25 (b) 49 (c) 29 (d) 53
  23. 23.What is the average of 76, 79, 64 and 37? (a) 64 (b) 66 (c) 63 (d) 65
  24. 24.What is the average of all the whole numbers from 12 to 40? (a) 27 (b) 26 (c) 14 (d) 28
  25. 25.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 35 (c) 36 (d) 59
  26. 26.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 73 (b) 39 (c) 30 (d) 64
  27. 27.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 36 (c) 34 (d) 58
  28. 28.What is the average of all the whole numbers from 43 to 61? (a) 52 (b) 53 (c) 9 (d) 18
  29. 29.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 33 (b) 29 (c) 36 (d) 61
  30. 30.What is the average of all the whole numbers from 10 to 50? (a) 30 (b) 31 (c) 20 (d) 40
  31. 31.What is the average of 48, 62, 54, 68, 76 and 64? (a) 62 (b) 64 (c) 63 (d) 61
  32. 32.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 12 (c) 63 (d) 53
  33. 33.What is the average of 8, 25, 21 and 30? (a) 21 (b) 20 (c) 28 (d) 22
  34. 34.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 20 (b) 40 (c) 42 (d) 58
  35. 35.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 9 (b) 93 (c) 44 (d) 10
  36. 36.What is the average of 24, 14, 32, 15 and 40? (a) 27 (b) 25 (c) 24 (d) 26
  37. 37.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 23 (b) 99 (c) 47 (d) 22
  38. 38.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 68? (a) 68 (b) 76 (c) 132 (d) 72
  39. 39.What is the average of 83, 85, 78, 65, 83 and 68? (a) 79 (b) 77 (c) 76 (d) 78
  40. 40.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 44 (b) 12 (c) 54 (d) 86

Answer key

  1. 25
  2. 60
  3. 41
  4. 50
  5. 65
  6. 28
  7. 46
  8. 75
  9. 22
  10. 105
  11. 31
  12. 2
  13. 78
  14. 21
  15. 52
  16. 25
  17. 90
  18. 39
  19. 64
  20. 44
  21. 13
  22. 49
  23. 64
  24. 26
  25. 59
  26. 64
  27. 58
  28. 52
  29. 61
  30. 30
  31. 62
  32. 63
  33. 21
  34. 58
  35. 9
  36. 25
  37. 22
  38. 132
  39. 77
  40. 54

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