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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 726 · 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 51, 31, 39 and 55? (a) 45 (b) 46 (c) 43 (d) 44
  2. 2.What is the average of all the whole numbers from 51 to 59? (a) 8 (b) 55 (c) 4 (d) 56
  3. 3.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 68 (b) 42 (c) 32 (d) 38
  4. 4.What is the average of all the whole numbers from 14 to 46? (a) 32 (b) 30 (c) 31 (d) 16
  5. 5.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 55 (b) 5 (c) 25 (d) 6
  6. 6.What is the average of 47, 46, 34, 35, 33 and 87? (a) 48 (b) 46 (c) 49 (d) 47
  7. 7.What is the average of 63, 36, 51, 44, 57 and 49? (a) 60 (b) 49 (c) 50 (d) 51
  8. 8.What is the average of all the whole numbers from 49 to 63? (a) 7 (b) 57 (c) 14 (d) 56
  9. 9.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 14 (b) 38 (c) 40 (d) 50
  10. 10.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 41 (b) 42 (c) 91 (d) 45
  11. 11.What is the average of 19, 8, 25, 20 and 43? (a) 22 (b) 23 (c) 24 (d) 25
  12. 12.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 28? (a) 30 (b) 28 (c) 31 (d) 55
  13. 13.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 12 (b) 37 (c) 53 (d) 28
  14. 14.What is the average of 18, 19, 17, 13, 18 and 65? (a) 25 (b) 30 (c) 26 (d) 24
  15. 15.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 39 (b) 65 (c) 33 (d) 7
  16. 16.What is the average of all the whole numbers from 13 to 37? (a) 12 (b) 26 (c) 24 (d) 25
  17. 17.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 36 (b) 72 (c) 92 (d) 28
  18. 18.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 24 (b) 45 (c) 15 (d) 36
  19. 19.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 25 (b) 26 (c) 68 (d) 33
  20. 20.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 62 (c) 48 (d) 94
  21. 21.What is the average of all the whole numbers from 22 to 56? (a) 40 (b) 17 (c) 34 (d) 39
  22. 22.What is the average of all the whole numbers from 60 to 88? (a) 14 (b) 75 (c) 28 (d) 74
  23. 23.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 46? (a) 61 (b) 46 (c) 20 (d) 51
  24. 24.What is the average of all the whole numbers from 43 to 75? (a) 16 (b) 60 (c) 32 (d) 59
  25. 25.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 30 (b) 32 (c) 54 (d) 26
  26. 26.What is the average of all the whole numbers from 37 to 51? (a) 7 (b) 44 (c) 45 (d) 14
  27. 27.What is the average of all the whole numbers from 56 to 74? (a) 9 (b) 18 (c) 65 (d) 66
  28. 28.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 44 (b) 32 (c) 30 (d) 16
  29. 29.What is the average of all the whole numbers from 18 to 40? (a) 29 (b) 11 (c) 30 (d) 22
  30. 30.What is the average of 37, 38, 27 and 42? (a) 36 (b) 37 (c) 35 (d) 48
  31. 31.What is the average of all the whole numbers from 45 to 55? (a) 51 (b) 50 (c) 5 (d) 10
  32. 32.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 27 (b) 14 (c) 20 (d) 7
  33. 33.What is the average of all the whole numbers from 59 to 83? (a) 71 (b) 12 (c) 72 (d) 24
  34. 34.What is the average of all the whole numbers from 31 to 37? (a) 34 (b) 6 (c) 35 (d) 3
  35. 35.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 47 (b) 41 (c) 95 (d) 40
  36. 36.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 7 (c) 66 (d) 8
  37. 37.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 6 (b) 35 (c) 18 (d) 23
  38. 38.What is the average of 15, 41, 19, 41 and 14? (a) 27 (b) 28 (c) 25 (d) 26
  39. 39.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 21 (c) 41 (d) 59
  40. 40.What is the average of all the whole numbers from 38 to 60? (a) 49 (b) 11 (c) 22 (d) 50

Answer key

  1. 44
  2. 55
  3. 68
  4. 30
  5. 5
  6. 47
  7. 50
  8. 56
  9. 50
  10. 41
  11. 23
  12. 55
  13. 37
  14. 25
  15. 39
  16. 25
  17. 92
  18. 36
  19. 25
  20. 94
  21. 39
  22. 74
  23. 61
  24. 59
  25. 54
  26. 44
  27. 65
  28. 44
  29. 29
  30. 36
  31. 50
  32. 20
  33. 71
  34. 34
  35. 40
  36. 7
  37. 23
  38. 26
  39. 59
  40. 49

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