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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 273 · 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 all the whole numbers from 29 to 39? (a) 10 (b) 5 (c) 34 (d) 35
  2. 2.What is the average of 50, 70, 66, 62 and 67? (a) 63 (b) 64 (c) 65 (d) 62
  3. 3.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 27 (c) 55 (d) 23
  4. 4.What is the average of all the whole numbers from 34 to 60? (a) 48 (b) 13 (c) 47 (d) 26
  5. 5.What is the average of 17, 39, 20, 21, 16 and 49? (a) 29 (b) 26 (c) 27 (d) 28
  6. 6.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 15 (c) 27 (d) 16
  7. 7.What is the average of all the whole numbers from 28 to 50? (a) 22 (b) 40 (c) 39 (d) 11
  8. 8.What is the average of all the whole numbers from 55 to 65? (a) 5 (b) 10 (c) 61 (d) 60
  9. 9.What is the average of 72, 83, 59, 81, 83 and 30? (a) 70 (b) 69 (c) 67 (d) 68
  10. 10.What is the average of 10, 12, 8, 31 and 39? (a) 25 (b) 20 (c) 19 (d) 21
  11. 11.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 46 (b) 62 (c) 20 (d) 44
  12. 12.What is the average of 10, 23, 11 and 44? (a) 21 (b) 24 (c) 23 (d) 22
  13. 13.What is the average of all the whole numbers from 41 to 65? (a) 12 (b) 54 (c) 53 (d) 24
  14. 14.What is the average of all the whole numbers from 31 to 53? (a) 43 (b) 22 (c) 11 (d) 42
  15. 15.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 44 (b) 35 (c) 23 (d) 14
  16. 16.What is the average of all the whole numbers from 27 to 41? (a) 14 (b) 34 (c) 7 (d) 35
  17. 17.What is the average of all the whole numbers from 48 to 78? (a) 15 (b) 30 (c) 63 (d) 64
  18. 18.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 16 (b) 11 (c) 10 (d) 34
  19. 19.What is the average of 68, 64, 61, 55, 62 and 20? (a) 56 (b) 66 (c) 54 (d) 55
  20. 20.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 37 (b) 77 (c) 29 (d) 28
  21. 21.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 79 (b) 6 (c) 40 (d) 45
  22. 22.What is the average of all the whole numbers from 22 to 54? (a) 39 (b) 32 (c) 16 (d) 38
  23. 23.What is the average of 69, 64, 76, 83, 78 and 62? (a) 74 (b) 71 (c) 73 (d) 72
  24. 24.What is the average of all the whole numbers from 54 to 70? (a) 63 (b) 62 (c) 8 (d) 16
  25. 25.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 39 (c) 42 (d) 24
  26. 26.What is the average of all the whole numbers from 17 to 45? (a) 32 (b) 28 (c) 31 (d) 14
  27. 27.What is the average of 66, 46, 38, 44 and 66? (a) 51 (b) 52 (c) 53 (d) 65
  28. 28.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 35? (a) 48 (b) 41 (c) 35 (d) 77
  29. 29.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 65 (b) 33 (c) 38 (d) 6
  30. 30.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 65 (b) 35 (c) 30 (d) 60
  31. 31.What is the average of all the whole numbers from 38 to 60? (a) 22 (b) 50 (c) 11 (d) 49
  32. 32.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 57 (b) 72 (c) 54 (d) 21
  33. 33.What is the average of all the whole numbers from 45 to 59? (a) 14 (b) 53 (c) 7 (d) 52
  34. 34.What is the average of 43, 46, 47 and 92? (a) 58 (b) 76 (c) 56 (d) 57
  35. 35.What is the average of 86, 88, 77 and 49? (a) 75 (b) 74 (c) 76 (d) 100
  36. 36.What is the average of 27, 28, 48, 43 and 34? (a) 36 (b) 37 (c) 35 (d) 45
  37. 37.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 8 (b) 22 (c) 30 (d) 16
  38. 38.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 24 (b) 44 (c) 62 (d) 50
  39. 39.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 14 (b) 29 (c) 25 (d) 18
  40. 40.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 21 (b) 22 (c) 70 (d) 33

Answer key

  1. 34
  2. 63
  3. 23
  4. 47
  5. 27
  6. 27
  7. 39
  8. 60
  9. 68
  10. 20
  11. 62
  12. 22
  13. 53
  14. 42
  15. 44
  16. 34
  17. 63
  18. 10
  19. 55
  20. 28
  21. 45
  22. 38
  23. 72
  24. 62
  25. 42
  26. 31
  27. 52
  28. 77
  29. 38
  30. 60
  31. 49
  32. 72
  33. 52
  34. 57
  35. 75
  36. 36
  37. 22
  38. 62
  39. 29
  40. 21

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