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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 624 · 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.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 37 (b) 18 (c) 12 (d) 11
  2. 2.What is the average of 93, 78, 95 and 54? (a) 79 (b) 82 (c) 80 (d) 81
  3. 3.What is the average of 30, 29, 28 and 73? (a) 41 (b) 42 (c) 39 (d) 40
  4. 4.What is the average of 20, 22, 37 and 29? (a) 36 (b) 26 (c) 28 (d) 27
  5. 5.What is the average of all the whole numbers from 38 to 48? (a) 10 (b) 44 (c) 5 (d) 43
  6. 6.What is the average of all the whole numbers from 58 to 84? (a) 71 (b) 26 (c) 72 (d) 13
  7. 7.What is the average of 81, 71, 88, 82, 62 and 78? (a) 78 (b) 76 (c) 77 (d) 79
  8. 8.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 13 (b) 24 (c) 12 (d) 51
  9. 9.What is the average of all the whole numbers from 27 to 37? (a) 5 (b) 10 (c) 33 (d) 32
  10. 10.What is the average of 88, 89, 81, 94, 66 and 56? (a) 80 (b) 81 (c) 79 (d) 78
  11. 11.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 48 (c) 68 (d) 32
  12. 12.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 69 (b) 57 (c) 59 (d) 14
  13. 13.What is the average of all the whole numbers from 5 to 27? (a) 16 (b) 17 (c) 11 (d) 22
  14. 14.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 48 (b) 45 (c) 15 (d) 57
  15. 15.What is the average of all the whole numbers from 6 to 26? (a) 10 (b) 20 (c) 17 (d) 16
  16. 16.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 32 (b) 73 (c) 45 (d) 86
  17. 17.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 39 (b) 32 (c) 28 (d) 53
  18. 18.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 15 (b) 10 (c) 45 (d) 40
  19. 19.What is the average of 15, 26, 12 and 47? (a) 27 (b) 24 (c) 25 (d) 26
  20. 20.What is the average of all the whole numbers from 30 to 42? (a) 37 (b) 12 (c) 6 (d) 36
  21. 21.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 12 (b) 47 (c) 19 (d) 40
  22. 22.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 35 (b) 25 (c) 8 (d) 18
  23. 23.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 45 (b) 4 (c) 48 (d) 89
  24. 24.What is the average of all the whole numbers from 20 to 50? (a) 36 (b) 15 (c) 35 (d) 30
  25. 25.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 35 (b) 17 (c) 21 (d) 31
  26. 26.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 32 (b) 31 (c) 41 (d) 84
  27. 27.What is the average of 64, 52, 40, 45 and 59? (a) 53 (b) 65 (c) 51 (d) 52
  28. 28.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 34 (b) 32 (c) 18 (d) 33
  29. 29.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 52 (b) 56 (c) 50 (d) 8
  30. 30.What is the average of 39, 46, 35 and 52? (a) 43 (b) 45 (c) 44 (d) 42
  31. 31.What is the average of all the whole numbers from 5 to 39? (a) 17 (b) 23 (c) 22 (d) 34
  32. 32.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 18 (b) 50 (c) 35 (d) 38
  33. 33.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 14 (b) 15 (c) 21 (d) 43
  34. 34.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 48 (c) 75 (d) 33
  35. 35.What is the average of 66, 54, 49 and 67? (a) 58 (b) 59 (c) 60 (d) 61
  36. 36.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 59? (a) 63 (b) 87 (c) 59 (d) 32
  37. 37.What is the average of all the whole numbers from 43 to 73? (a) 30 (b) 58 (c) 15 (d) 59
  38. 38.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 68 (b) 20 (c) 21 (d) 32
  39. 39.What is the average of all the whole numbers from 24 to 42? (a) 34 (b) 33 (c) 9 (d) 18
  40. 40.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 23? (a) 26 (b) 23 (c) 35 (d) 15

Answer key

  1. 11
  2. 80
  3. 40
  4. 27
  5. 43
  6. 71
  7. 77
  8. 12
  9. 32
  10. 79
  11. 68
  12. 69
  13. 16
  14. 57
  15. 16
  16. 73
  17. 53
  18. 45
  19. 25
  20. 36
  21. 47
  22. 25
  23. 48
  24. 35
  25. 35
  26. 31
  27. 52
  28. 33
  29. 56
  30. 43
  31. 22
  32. 50
  33. 14
  34. 75
  35. 59
  36. 87
  37. 58
  38. 20
  39. 33
  40. 35

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