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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 256 · 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 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 32 (b) 35 (c) 33 (d) 71
  2. 2.What is the average of all the whole numbers from 21 to 57? (a) 40 (b) 39 (c) 36 (d) 18
  3. 3.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 27 (b) 29 (c) 16 (d) 28
  4. 4.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 37? (a) 109 (b) 45 (c) 80 (d) 37
  5. 5.What is the average of all the whole numbers from 60 to 68? (a) 65 (b) 8 (c) 64 (d) 4
  6. 6.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 18 (b) 37 (c) 22 (d) 41
  7. 7.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 28 (b) 65 (c) 51 (d) 44
  8. 8.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 30 (b) 64 (c) 11 (d) 10
  9. 9.What is the average of 60, 60, 77, 64 and 79? (a) 85 (b) 69 (c) 67 (d) 68
  10. 10.What is the average of 17, 10, 22, 32, 31 and 32? (a) 26 (b) 25 (c) 23 (d) 24
  11. 11.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 27 (b) 34 (c) 70 (d) 26
  12. 12.What is the average of 36, 25, 7 and 16? (a) 28 (b) 22 (c) 20 (d) 21
  13. 13.What is the average of 72, 81, 70, 80 and 92? (a) 78 (b) 81 (c) 80 (d) 79
  14. 14.What is the average of 14, 17, 38, 19 and 32? (a) 24 (b) 30 (c) 23 (d) 25
  15. 15.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 23 (b) 47 (c) 17 (d) 16
  16. 16.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 69 (b) 61 (c) 10 (d) 63
  17. 17.What is the average of 43, 58, 39 and 56? (a) 51 (b) 50 (c) 49 (d) 48
  18. 18.What is the average of all the whole numbers from 22 to 30? (a) 8 (b) 4 (c) 27 (d) 26
  19. 19.What is the average of 11, 36, 33, 40, 26 and 4? (a) 30 (b) 24 (c) 26 (d) 25
  20. 20.What is the average of 36, 57, 55 and 32? (a) 60 (b) 46 (c) 45 (d) 44
  21. 21.What is the average of 34, 60, 36, 34 and 66? (a) 45 (b) 47 (c) 46 (d) 48
  22. 22.What is the average of all the whole numbers from 12 to 26? (a) 19 (b) 14 (c) 7 (d) 20
  23. 23.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 29 (b) 43 (c) 56 (d) 16
  24. 24.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 25? (a) 30 (b) 20 (c) 40 (d) 25
  25. 25.What is the average of all the whole numbers from 32 to 42? (a) 10 (b) 38 (c) 37 (d) 5
  26. 26.What is the average of all the whole numbers from 33 to 55? (a) 45 (b) 22 (c) 11 (d) 44
  27. 27.What is the average of 42, 23, 37, 42, 31 and 47? (a) 39 (b) 36 (c) 37 (d) 38
  28. 28.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 10 (b) 37 (c) 56 (d) 29
  29. 29.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 30? (a) 15 (b) 33 (c) 42 (d) 30
  30. 30.What is the average of 33, 28, 22, 24 and 63? (a) 34 (b) 35 (c) 36 (d) 33
  31. 31.What is the average of 52, 54, 36, 33, 40 and 43? (a) 45 (b) 44 (c) 43 (d) 42
  32. 32.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 12 (b) 43 (c) 34 (d) 65
  33. 33.What is the average of all the whole numbers from 6 to 46? (a) 40 (b) 26 (c) 27 (d) 20
  34. 34.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 47 (b) 17 (c) 35 (d) 29
  35. 35.What is the average of all the whole numbers from 36 to 48? (a) 43 (b) 6 (c) 12 (d) 42
  36. 36.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) 61 (b) 11 (c) 12 (d) 29
  37. 37.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 73 (b) 48 (c) 33 (d) 41
  38. 38.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 4 (b) 28 (c) 49 (d) 25
  39. 39.What is the average of all the whole numbers from 47 to 59? (a) 12 (b) 53 (c) 6 (d) 54
  40. 40.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 14 (b) 51 (c) 63 (d) 53

Answer key

  1. 32
  2. 39
  3. 28
  4. 109
  5. 64
  6. 37
  7. 65
  8. 10
  9. 68
  10. 24
  11. 26
  12. 21
  13. 79
  14. 24
  15. 16
  16. 69
  17. 49
  18. 26
  19. 25
  20. 45
  21. 46
  22. 19
  23. 43
  24. 40
  25. 37
  26. 44
  27. 37
  28. 37
  29. 42
  30. 34
  31. 43
  32. 43
  33. 26
  34. 47
  35. 42
  36. 11
  37. 73
  38. 28
  39. 53
  40. 63

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