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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 308 · 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 4 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 24 (b) 21 (c) 4 (d) 41
  2. 2.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 8 (b) 21 (c) 7 (d) 44
  3. 3.What is the average of 20, 21, 40, 40 and 39? (a) 40 (b) 33 (c) 31 (d) 32
  4. 4.What is the average of all the whole numbers from 53 to 79? (a) 26 (b) 13 (c) 67 (d) 66
  5. 5.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 16 (b) 29 (c) 60 (d) 15
  6. 6.What is the average of 46, 35, 20 and 35? (a) 35 (b) 33 (c) 36 (d) 34
  7. 7.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 7 (b) 51 (c) 32 (d) 26
  8. 8.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 9 (b) 27 (c) 10 (d) 13
  9. 9.What is the average of all the whole numbers from 10 to 48? (a) 30 (b) 19 (c) 29 (d) 38
  10. 10.What is the average of all the whole numbers from 50 to 58? (a) 4 (b) 55 (c) 8 (d) 54
  11. 11.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 40 (b) 39 (c) 45 (d) 91
  12. 12.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 22 (b) 71 (c) 34 (d) 23
  13. 13.What is the average of 33, 15, 40 and 12? (a) 27 (b) 25 (c) 26 (d) 24
  14. 14.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 132 (b) 60 (c) 80 (d) 68
  15. 15.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 20 (b) 57 (c) 72 (d) 62
  16. 16.What is the average of all the whole numbers from 19 to 43? (a) 24 (b) 12 (c) 32 (d) 31
  17. 17.What is the average of all the whole numbers from 20 to 28? (a) 8 (b) 4 (c) 25 (d) 24
  18. 18.What is the average of 71, 83, 71 and 67? (a) 74 (b) 72 (c) 75 (d) 73
  19. 19.What is the average of 28, 19, 32, 38, 13 and 14? (a) 23 (b) 25 (c) 26 (d) 24
  20. 20.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 20 (b) 41 (c) 51 (d) 36
  21. 21.What is the average of all the whole numbers from 18 to 26? (a) 23 (b) 8 (c) 4 (d) 22
  22. 22.What is the average of all the whole numbers from 45 to 53? (a) 4 (b) 50 (c) 8 (d) 49
  23. 23.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 54? (a) 89 (b) 59 (c) 40 (d) 54
  24. 24.What is the average of all the whole numbers from 28 to 50? (a) 40 (b) 39 (c) 11 (d) 22
  25. 25.What is the average of 47, 34, 31 and 32? (a) 35 (b) 48 (c) 36 (d) 37
  26. 26.What is the average of 34, 24, 33, 28 and 51? (a) 34 (b) 33 (c) 36 (d) 35
  27. 27.What is the average of all the whole numbers from 14 to 48? (a) 32 (b) 34 (c) 17 (d) 31
  28. 28.What is the average of all the whole numbers from 26 to 38? (a) 32 (b) 6 (c) 33 (d) 12
  29. 29.What is the average of 46, 49, 38 and 23? (a) 39 (b) 38 (c) 52 (d) 40
  30. 30.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 30 (b) 23 (c) 62 (d) 22
  31. 31.What is the average of 41, 32, 24, 38, 22 and 5? (a) 27 (b) 26 (c) 29 (d) 28
  32. 32.What is the average of 48, 40, 40, 35, 45 and 74? (a) 48 (b) 46 (c) 47 (d) 49
  33. 33.What is the average of 67, 73, 76 and 76? (a) 75 (b) 72 (c) 73 (d) 74
  34. 34.What is the average of all the whole numbers from 17 to 53? (a) 18 (b) 34 (c) 36 (d) 35
  35. 35.What is the average of all the whole numbers from 57 to 93? (a) 36 (b) 18 (c) 76 (d) 75
  36. 36.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 50 (b) 24 (c) 11 (d) 10
  37. 37.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 46 (b) 37 (c) 94 (d) 36
  38. 38.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 12 (b) 61 (c) 11 (d) 29
  39. 39.What is the average of 27, 42, 16, 23, 26 and 34? (a) 27 (b) 29 (c) 30 (d) 28
  40. 40.What is the average of all the whole numbers from 26 to 50? (a) 38 (b) 39 (c) 24 (d) 12

Answer key

  1. 24
  2. 7
  3. 32
  4. 66
  5. 15
  6. 34
  7. 32
  8. 9
  9. 29
  10. 54
  11. 39
  12. 22
  13. 25
  14. 132
  15. 72
  16. 31
  17. 24
  18. 73
  19. 24
  20. 51
  21. 22
  22. 49
  23. 89
  24. 39
  25. 36
  26. 34
  27. 31
  28. 32
  29. 39
  30. 22
  31. 27
  32. 47
  33. 73
  34. 35
  35. 75
  36. 10
  37. 36
  38. 11
  39. 28
  40. 38

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