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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 34 · 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 20, 31, 36 and 25? (a) 30 (b) 27 (c) 28 (d) 29
  2. 2.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 11 (b) 33 (c) 16 (d) 10
  3. 3.What is the average of 10, 21, 15 and 50? (a) 24 (b) 32 (c) 25 (d) 23
  4. 4.What is the average of 6, 13, 30 and 31? (a) 19 (b) 22 (c) 20 (d) 21
  5. 5.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 46 (b) 26 (c) 27 (d) 97
  6. 6.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 28 (c) 8 (d) 32
  7. 7.What is the average of 13, 25, 31 and 11? (a) 19 (b) 20 (c) 21 (d) 22
  8. 8.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
  9. 9.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 34 (c) 50 (d) 24
  10. 10.What is the average of 52, 66, 37, 63, 42 and 52? (a) 53 (b) 54 (c) 52 (d) 51
  11. 11.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 22 (b) 43 (c) 7 (d) 28
  12. 12.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 7 (b) 49 (c) 31 (d) 25
  13. 13.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 69 (b) 32 (c) 13 (d) 12
  14. 14.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 97 (b) 49 (c) 64 (d) 41
  15. 15.What is the average of all the whole numbers from 55 to 93? (a) 38 (b) 74 (c) 75 (d) 19
  16. 16.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 40 (b) 32 (c) 20 (d) 12
  17. 17.What is the average of 21, 23, 23, 34 and 59? (a) 40 (b) 31 (c) 32 (d) 33
  18. 18.What is the average of 55, 43, 32 and 38? (a) 43 (b) 42 (c) 41 (d) 56
  19. 19.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 15 (c) 69 (d) 60
  20. 20.What is the average of all the whole numbers from 17 to 41? (a) 30 (b) 29 (c) 24 (d) 12
  21. 21.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 85 (b) 40 (c) 45 (d) 80
  22. 22.What is the average of 57, 64, 55, 61 and 103? (a) 68 (b) 69 (c) 85 (d) 67
  23. 23.What is the average of all the whole numbers from 6 to 28? (a) 17 (b) 22 (c) 18 (d) 11
  24. 24.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 10 (b) 60 (c) 68 (d) 62
  25. 25.What is the average of all the whole numbers from 15 to 25? (a) 21 (b) 5 (c) 20 (d) 10
  26. 26.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 57 (b) 30 (c) 33 (d) 39
  27. 27.What is the average of 17, 9, 15 and 43? (a) 21 (b) 28 (c) 20 (d) 22
  28. 28.What is the average of all the whole numbers from 39 to 63? (a) 24 (b) 52 (c) 12 (d) 51
  29. 29.What is the average of 19, 34, 24 and 43? (a) 29 (b) 40 (c) 31 (d) 30
  30. 30.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 14 (b) 45 (c) 88 (d) 57
  31. 31.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 51? (a) 96 (b) 56 (c) 51 (d) 50
  32. 32.What is the average of 30, 14, 11 and 49? (a) 28 (b) 27 (c) 26 (d) 25
  33. 33.What is the average of 14, 18, 25, 30 and 53? (a) 35 (b) 29 (c) 27 (d) 28
  34. 34.What is the average of all the whole numbers from 6 to 12? (a) 3 (b) 9 (c) 6 (d) 10
  35. 35.What is the average of 35, 27, 25, 41 and 32? (a) 32 (b) 40 (c) 33 (d) 31
  36. 36.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 12 (c) 53 (d) 59
  37. 37.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 69 (b) 33 (c) 40 (d) 37
  38. 38.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 24 (b) 35 (c) 43 (d) 54
  39. 39.What is the average of all the whole numbers from 36 to 62? (a) 13 (b) 50 (c) 49 (d) 26
  40. 40.What is the average of all the whole numbers from 31 to 43? (a) 12 (b) 6 (c) 37 (d) 38

Answer key

  1. 28
  2. 10
  3. 24
  4. 20
  5. 26
  6. 32
  7. 20
  8. 70
  9. 50
  10. 52
  11. 28
  12. 31
  13. 12
  14. 97
  15. 74
  16. 40
  17. 32
  18. 42
  19. 69
  20. 29
  21. 80
  22. 68
  23. 17
  24. 68
  25. 20
  26. 57
  27. 21
  28. 51
  29. 30
  30. 57
  31. 96
  32. 26
  33. 28
  34. 9
  35. 32
  36. 59
  37. 69
  38. 54
  39. 49
  40. 37

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