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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 569 · 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 6 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 12 (b) 2 (c) 26 (d) 3
  2. 2.What is the average of 76, 63, 85, 63 and 63? (a) 69 (b) 70 (c) 72 (d) 71
  3. 3.What is the average of 30, 44, 45, 53, 31 and 61? (a) 43 (b) 45 (c) 44 (d) 46
  4. 4.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 90 (b) 91 (c) 50 (d) 45
  5. 5.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 25 (b) 24 (c) 55 (d) 27
  6. 6.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 49 (b) 16 (c) 63 (d) 96
  7. 7.What is the average of all the whole numbers from 40 to 62? (a) 22 (b) 52 (c) 51 (d) 11
  8. 8.What is the average of all the whole numbers from 12 to 28? (a) 21 (b) 8 (c) 16 (d) 20
  9. 9.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 28 (b) 51 (c) 58 (d) 72
  10. 10.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 7 (b) 47 (c) 41 (d) 81
  11. 11.What is the average of all the whole numbers from 33 to 57? (a) 45 (b) 12 (c) 24 (d) 46
  12. 12.What is the average of 35, 32, 58 and 47? (a) 42 (b) 44 (c) 43 (d) 45
  13. 13.What is the average of 36, 22, 45 and 29? (a) 44 (b) 34 (c) 33 (d) 32
  14. 14.What is the average of 39, 44, 15, 24, 26 and 26? (a) 31 (b) 30 (c) 28 (d) 29
  15. 15.What is the average of 6, 30, 25, 27, 10 and 28? (a) 21 (b) 20 (c) 22 (d) 23
  16. 16.What is the average of 54, 53, 74 and 87? (a) 69 (b) 66 (c) 67 (d) 68
  17. 17.What is the average of all the whole numbers from 7 to 33? (a) 26 (b) 13 (c) 21 (d) 20
  18. 18.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 56 (b) 12 (c) 50 (d) 47
  19. 19.What is the average of 63, 70, 57, 61 and 29? (a) 57 (b) 55 (c) 56 (d) 70
  20. 20.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 58? (a) 61 (b) 73 (c) 58 (d) 18
  21. 21.What is the average of all the whole numbers from 42 to 58? (a) 50 (b) 8 (c) 16 (d) 51
  22. 22.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 63? (a) 105 (b) 63 (c) 69 (d) 48
  23. 23.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 12 (b) 36 (c) 69 (d) 45
  24. 24.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 38 (c) 12 (d) 13
  25. 25.What is the average of 64, 52, 59 and 29? (a) 50 (b) 68 (c) 51 (d) 52
  26. 26.What is the average of 27, 29, 16 and 8? (a) 22 (b) 21 (c) 20 (d) 19
  27. 27.What is the average of all the whole numbers from 24 to 38? (a) 32 (b) 14 (c) 31 (d) 7
  28. 28.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 18 (b) 12 (c) 21 (d) 27
  29. 29.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 41 (b) 36 (c) 40 (d) 71
  30. 30.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 39 (b) 18 (c) 45 (d) 24
  31. 31.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) 28 (c) 72 (d) 92
  32. 32.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 20 (b) 51 (c) 56 (d) 66
  33. 33.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 49? (a) 49 (b) 54 (c) 50 (d) 94
  34. 34.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 39? (a) 63 (b) 42 (c) 27 (d) 39
  35. 35.What is the average of all the whole numbers from 41 to 47? (a) 44 (b) 6 (c) 45 (d) 3
  36. 36.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 53 (b) 30 (c) 28 (d) 33
  37. 37.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 28 (c) 42 (d) 56
  38. 38.What is the average of all the whole numbers from 30 to 62? (a) 47 (b) 46 (c) 32 (d) 16
  39. 39.What is the average of 36, 33, 15, 22, 12 and 20? (a) 23 (b) 24 (c) 22 (d) 25
  40. 40.What is the average of all the whole numbers from 6 to 42? (a) 36 (b) 18 (c) 25 (d) 24

Answer key

  1. 2
  2. 70
  3. 44
  4. 90
  5. 24
  6. 63
  7. 51
  8. 20
  9. 72
  10. 47
  11. 45
  12. 43
  13. 33
  14. 29
  15. 21
  16. 67
  17. 20
  18. 56
  19. 56
  20. 73
  21. 50
  22. 105
  23. 45
  24. 12
  25. 51
  26. 20
  27. 31
  28. 27
  29. 71
  30. 39
  31. 92
  32. 66
  33. 94
  34. 63
  35. 44
  36. 53
  37. 56
  38. 46
  39. 23
  40. 24

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