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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 854 · 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 42, 17, 16, 21 and 44? (a) 27 (b) 29 (c) 28 (d) 35
  2. 2.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 38 (b) 20 (c) 10 (d) 28
  3. 3.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 70 (b) 52 (c) 20 (d) 54
  4. 4.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 50? (a) 40 (b) 58 (c) 50 (d) 82
  5. 5.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 16 (b) 34 (c) 3 (d) 2
  6. 6.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 68 (b) 54 (c) 62 (d) 110
  7. 7.What is the average of 14, 33, 32, 39 and 22? (a) 27 (b) 28 (c) 29 (d) 35
  8. 8.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 30 (b) 3 (c) 2 (d) 64
  9. 9.What is the average of all the whole numbers from 33 to 41? (a) 4 (b) 38 (c) 8 (d) 37
  10. 10.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 67 (b) 97 (c) 62 (d) 40
  11. 11.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 28 (c) 51 (d) 50
  12. 12.What is the average of all the whole numbers from 20 to 34? (a) 28 (b) 7 (c) 27 (d) 14
  13. 13.What is the average of 84, 59, 73 and 72? (a) 71 (b) 73 (c) 72 (d) 96
  14. 14.What is the average of all the whole numbers from 58 to 74? (a) 16 (b) 8 (c) 67 (d) 66
  15. 15.What is the average of all the whole numbers from 20 to 28? (a) 8 (b) 25 (c) 4 (d) 24
  16. 16.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 29 (b) 38 (c) 30 (d) 79
  17. 17.What is the average of 55, 53, 43 and 25? (a) 44 (b) 43 (c) 46 (d) 45
  18. 18.What is the average of 71, 90, 89, 68 and 77? (a) 79 (b) 80 (c) 81 (d) 78
  19. 19.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 87 (b) 39 (c) 38 (d) 43
  20. 20.What is the average of all the whole numbers from 17 to 57? (a) 38 (b) 37 (c) 40 (d) 20
  21. 21.What is the average of 59, 57, 74, 75 and 55? (a) 63 (b) 80 (c) 64 (d) 65
  22. 22.What is the average of all the whole numbers from 41 to 55? (a) 48 (b) 14 (c) 49 (d) 7
  23. 23.What is the average of all the whole numbers from 50 to 74? (a) 24 (b) 63 (c) 62 (d) 12
  24. 24.What is the average of all the whole numbers from 31 to 41? (a) 10 (b) 37 (c) 36 (d) 5
  25. 25.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 50 (c) 30 (d) 74
  26. 26.What is the average of all the whole numbers from 53 to 83? (a) 69 (b) 15 (c) 30 (d) 68
  27. 27.What is the average of 31, 54, 40 and 35? (a) 41 (b) 42 (c) 40 (d) 39
  28. 28.What is the average of 18, 15, 39 and 36? (a) 26 (b) 36 (c) 27 (d) 28
  29. 29.What is the average of all the whole numbers from 50 to 58? (a) 54 (b) 4 (c) 55 (d) 8
  30. 30.What is the average of 33, 11, 11 and 49? (a) 27 (b) 28 (c) 26 (d) 25
  31. 31.What is the average of all the whole numbers from 9 to 45? (a) 36 (b) 28 (c) 27 (d) 18
  32. 32.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 20 (b) 16 (c) 27 (d) 31
  33. 33.What is the average of all the whole numbers from 51 to 85? (a) 69 (b) 68 (c) 34 (d) 17
  34. 34.What is the average of all the whole numbers from 33 to 55? (a) 11 (b) 45 (c) 44 (d) 22
  35. 35.What is the average of 66, 56, 63, 53, 59 and 63? (a) 72 (b) 60 (c) 61 (d) 59
  36. 36.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 38? (a) 45 (b) 73 (c) 38 (d) 42
  37. 37.What is the average of 54, 31, 24, 24, 36 and 65? (a) 39 (b) 41 (c) 38 (d) 40
  38. 38.What is the average of 26, 30, 18, 31, 38 and 37? (a) 30 (b) 29 (c) 31 (d) 36
  39. 39.What is the average of 53, 49, 69, 55 and 94? (a) 65 (b) 64 (c) 80 (d) 63
  40. 40.What is the average of 25, 21, 31 and 27? (a) 27 (b) 28 (c) 25 (d) 26

Answer key

  1. 28
  2. 28
  3. 70
  4. 82
  5. 2
  6. 110
  7. 28
  8. 2
  9. 37
  10. 97
  11. 51
  12. 27
  13. 72
  14. 66
  15. 24
  16. 29
  17. 44
  18. 79
  19. 38
  20. 37
  21. 64
  22. 48
  23. 62
  24. 36
  25. 74
  26. 68
  27. 40
  28. 27
  29. 54
  30. 26
  31. 27
  32. 31
  33. 68
  34. 44
  35. 60
  36. 73
  37. 39
  38. 30
  39. 64
  40. 26

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