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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 753 · 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 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 101 (b) 38 (c) 45 (d) 70
  2. 2.What is the average of all the whole numbers from 26 to 62? (a) 18 (b) 45 (c) 44 (d) 36
  3. 3.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) 11 (b) 10 (c) 15 (d) 31
  4. 4.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 16 (b) 40 (c) 54 (d) 42
  5. 5.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 72 (b) 54 (c) 62 (d) 118
  6. 6.What is the average of all the whole numbers from 12 to 48? (a) 36 (b) 30 (c) 31 (d) 18
  7. 7.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 72 (c) 93 (d) 35
  8. 8.What is the average of 81, 68, 87, 85, 63 and 54? (a) 73 (b) 75 (c) 72 (d) 74
  9. 9.What is the average of 55, 49, 48 and 56? (a) 51 (b) 54 (c) 53 (d) 52
  10. 10.What is the average of 24, 21, 51, 40 and 44? (a) 37 (b) 45 (c) 36 (d) 35
  11. 11.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 34 (b) 32 (c) 44 (d) 14
  12. 12.What is the average of all the whole numbers from 50 to 74? (a) 62 (b) 63 (c) 12 (d) 24
  13. 13.What is the average of 59, 57, 74, 65 and 90? (a) 70 (b) 68 (c) 71 (d) 69
  14. 14.What is the average of 20, 40, 31, 25, 22 and 12? (a) 26 (b) 30 (c) 24 (d) 25
  15. 15.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 83 (b) 7 (c) 48 (d) 42
  16. 16.What is the average of 87, 67, 77 and 81? (a) 104 (b) 77 (c) 78 (d) 79
  17. 17.What is the average of 36, 43, 34 and 7? (a) 30 (b) 31 (c) 29 (d) 40
  18. 18.What is the average of 40, 28, 44, 38 and 5? (a) 33 (b) 30 (c) 32 (d) 31
  19. 19.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 41 (b) 25 (c) 77 (d) 61
  20. 20.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 66? (a) 73 (b) 66 (c) 108 (d) 49
  21. 21.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 44 (b) 16 (c) 58 (d) 86
  22. 22.What is the average of 20, 22, 20, 38, 19 and 67? (a) 30 (b) 33 (c) 32 (d) 31
  23. 23.What is the average of all the whole numbers from 21 to 43? (a) 22 (b) 33 (c) 32 (d) 11
  24. 24.What is the average of 25, 15, 17 and 55? (a) 29 (b) 30 (c) 27 (d) 28
  25. 25.What is the average of all the whole numbers from 23 to 55? (a) 16 (b) 39 (c) 32 (d) 40
  26. 26.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 26 (b) 49 (c) 18 (d) 41
  27. 27.What is the average of all the whole numbers from 34 to 40? (a) 6 (b) 37 (c) 3 (d) 38
  28. 28.What is the average of all the whole numbers from 8 to 20? (a) 6 (b) 14 (c) 15 (d) 12
  29. 29.What is the average of all the whole numbers from 56 to 80? (a) 24 (b) 69 (c) 68 (d) 12
  30. 30.What is the average of 43, 35, 48 and 54? (a) 60 (b) 45 (c) 46 (d) 44
  31. 31.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 75 (b) 65 (c) 30 (d) 40
  32. 32.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 49 (c) 48 (d) 27
  33. 33.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 29 (b) 61 (c) 12 (d) 11
  34. 34.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 30 (b) 37 (c) 61 (d) 43
  35. 35.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 16 (b) 60 (c) 92 (d) 48
  36. 36.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 12 (b) 35 (c) 19 (d) 28
  37. 37.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 7 (b) 21 (c) 15 (d) 29
  38. 38.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 35 (b) 13 (c) 17 (d) 12
  39. 39.What is the average of 57, 43, 57, 60, 68 and 39? (a) 53 (b) 54 (c) 55 (d) 56
  40. 40.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 24 (b) 12 (c) 46 (d) 34

Answer key

  1. 101
  2. 44
  3. 10
  4. 54
  5. 118
  6. 30
  7. 93
  8. 73
  9. 52
  10. 36
  11. 44
  12. 62
  13. 69
  14. 25
  15. 48
  16. 78
  17. 30
  18. 31
  19. 61
  20. 108
  21. 58
  22. 31
  23. 32
  24. 28
  25. 39
  26. 41
  27. 37
  28. 14
  29. 68
  30. 45
  31. 65
  32. 48
  33. 11
  34. 61
  35. 60
  36. 28
  37. 21
  38. 12
  39. 54
  40. 34

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