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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 59 · 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 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 66 (b) 48 (c) 50 (d) 20
  2. 2.What is the average of 15, 21, 23, 41 and 50? (a) 32 (b) 29 (c) 31 (d) 30
  3. 3.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 66 (b) 16 (c) 15 (d) 31
  4. 4.What is the average of all the whole numbers from 30 to 38? (a) 35 (b) 34 (c) 4 (d) 8
  5. 5.What is the average of 17, 20, 16, 32, 30 and 29? (a) 23 (b) 26 (c) 25 (d) 24
  6. 6.What is the average of all the whole numbers from 60 to 76? (a) 69 (b) 16 (c) 8 (d) 68
  7. 7.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 61 (b) 45 (c) 86 (d) 20
  8. 8.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 60 (b) 45 (c) 95 (d) 55
  9. 9.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 77 (b) 39 (c) 5 (d) 43
  10. 10.What is the average of 29, 47, 56, 39, 34 and 59? (a) 46 (b) 44 (c) 43 (d) 45
  11. 11.What is the average of all the whole numbers from 49 to 69? (a) 20 (b) 10 (c) 60 (d) 59
  12. 12.What is the average of all the whole numbers from 40 to 60? (a) 50 (b) 51 (c) 10 (d) 20
  13. 13.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 15 (b) 58 (c) 70 (d) 61
  14. 14.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 15 (c) 63 (d) 72
  15. 15.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 95 (b) 60 (c) 65 (d) 40
  16. 16.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 8 (b) 27 (c) 33 (d) 52
  17. 17.What is the average of 62, 68, 70, 79 and 66? (a) 69 (b) 71 (c) 68 (d) 70
  18. 18.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 48 (b) 75 (c) 39 (d) 12
  19. 19.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 29 (c) 27 (d) 50
  20. 20.What is the average of 42, 59, 61, 37 and 61? (a) 65 (b) 53 (c) 52 (d) 51
  21. 21.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 89 (b) 24 (c) 46 (d) 67
  22. 22.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 80 (c) 110 (d) 38
  23. 23.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 39 (b) 21 (c) 30 (d) 12
  24. 24.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 12 (b) 24 (c) 21 (d) 33
  25. 25.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 68 (b) 33 (c) 21 (d) 22
  26. 26.What is the average of 64, 66, 43, 50 and 62? (a) 58 (b) 57 (c) 56 (d) 59
  27. 27.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 39? (a) 48 (b) 47 (c) 79 (d) 39
  28. 28.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 27 (b) 7 (c) 53 (d) 33
  29. 29.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 63 (b) 8 (c) 59 (d) 57
  30. 30.What is the average of 71, 80, 74, 77, 78 and 94? (a) 78 (b) 81 (c) 80 (d) 79
  31. 31.What is the average of all the whole numbers from 52 to 92? (a) 40 (b) 73 (c) 72 (d) 20
  32. 32.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 26 (b) 20 (c) 53 (d) 19
  33. 33.What is the average of all the whole numbers from 59 to 83? (a) 12 (b) 71 (c) 72 (d) 24
  34. 34.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 40 (b) 21 (c) 10 (d) 29
  35. 35.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 34 (b) 87 (c) 42 (d) 33
  36. 36.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 48 (b) 89 (c) 57 (d) 49
  37. 37.What is the average of 76, 77, 90, 89 and 63? (a) 81 (b) 80 (c) 78 (d) 79
  38. 38.What is the average of 46, 41, 22, 28, 29 and 38? (a) 35 (b) 33 (c) 34 (d) 36
  39. 39.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 48 (c) 27 (d) 72
  40. 40.What is the average of 27, 6, 8 and 43? (a) 21 (b) 20 (c) 22 (d) 28

Answer key

  1. 66
  2. 30
  3. 15
  4. 34
  5. 24
  6. 68
  7. 61
  8. 95
  9. 43
  10. 44
  11. 59
  12. 50
  13. 70
  14. 72
  15. 95
  16. 33
  17. 69
  18. 48
  19. 50
  20. 52
  21. 67
  22. 110
  23. 30
  24. 33
  25. 21
  26. 57
  27. 79
  28. 33
  29. 63
  30. 79
  31. 72
  32. 19
  33. 71
  34. 29
  35. 33
  36. 89
  37. 79
  38. 34
  39. 72
  40. 21

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