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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 625 · 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 9 to 25? (a) 16 (b) 8 (c) 18 (d) 17
  2. 2.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 50 (b) 6 (c) 55 (d) 99
  3. 3.What is the average of all the whole numbers from 7 to 23? (a) 8 (b) 16 (c) 15 (d) 14
  4. 4.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 23 (b) 24 (c) 42 (d) 43
  5. 5.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 15 (b) 30 (c) 65 (d) 16
  6. 6.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 24 (c) 29 (d) 45
  7. 7.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 26 (b) 16 (c) 48 (d) 38
  8. 8.What is the average of all the whole numbers from 49 to 77? (a) 64 (b) 28 (c) 63 (d) 14
  9. 9.What is the average of all the whole numbers from 16 to 56? (a) 40 (b) 36 (c) 37 (d) 20
  10. 10.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 20 (b) 29 (c) 45 (d) 33
  11. 11.What is the average of all the whole numbers from 22 to 62? (a) 42 (b) 20 (c) 40 (d) 43
  12. 12.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 36 (b) 56 (c) 88 (d) 60
  13. 13.A batter has an average of 44 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 42 (c) 86 (d) 56
  14. 14.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 24 (b) 72 (c) 52 (d) 56
  15. 15.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 43 (b) 6 (c) 22 (d) 27
  16. 16.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 32 (b) 65 (c) 26 (d) 25
  17. 17.What is the average of 69, 54, 66 and 59? (a) 64 (b) 61 (c) 62 (d) 63
  18. 18.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 12 (b) 86 (c) 54 (d) 44
  19. 19.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 39 (b) 24 (c) 25 (d) 83
  20. 20.What is the average of all the whole numbers from 26 to 32? (a) 3 (b) 29 (c) 30 (d) 6
  21. 21.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 30 (c) 68 (d) 48
  22. 22.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 54? (a) 62 (b) 80 (c) 126 (d) 54
  23. 23.What is the average of 32, 19, 30, 24, 33 and 24? (a) 26 (b) 29 (c) 27 (d) 28
  24. 24.The average of 8 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 49 (b) 17 (c) 18 (d) 24
  25. 25.What is the average of all the whole numbers from 26 to 42? (a) 8 (b) 34 (c) 35 (d) 16
  26. 26.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 39 (b) 40 (c) 22 (d) 57
  27. 27.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 58 (b) 10 (c) 30 (d) 38
  28. 28.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 20 (b) 29 (c) 28 (d) 12
  29. 29.What is the average of all the whole numbers from 54 to 68? (a) 14 (b) 61 (c) 7 (d) 62
  30. 30.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 89 (b) 46 (c) 64 (d) 21
  31. 31.What is the average of 69, 72, 66 and 57? (a) 66 (b) 65 (c) 88 (d) 67
  32. 32.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 25 (b) 55 (c) 35 (d) 45
  33. 33.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 22 (b) 47 (c) 8 (d) 7
  34. 34.What is the average of 67, 70, 44, 53 and 61? (a) 59 (b) 58 (c) 60 (d) 61
  35. 35.What is the average of all the whole numbers from 17 to 27? (a) 5 (b) 10 (c) 23 (d) 22
  36. 36.What is the average of all the whole numbers from 56 to 70? (a) 14 (b) 7 (c) 63 (d) 64
  37. 37.What is the average of 67, 50, 79, 67 and 62? (a) 66 (b) 67 (c) 64 (d) 65
  38. 38.What is the average of 75, 81, 90 and 66? (a) 77 (b) 79 (c) 104 (d) 78
  39. 39.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 28 (b) 35 (c) 72 (d) 27
  40. 40.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 27 (b) 35 (c) 56 (d) 32

Answer key

  1. 17
  2. 55
  3. 15
  4. 43
  5. 15
  6. 45
  7. 38
  8. 63
  9. 36
  10. 45
  11. 42
  12. 88
  13. 86
  14. 72
  15. 27
  16. 25
  17. 62
  18. 54
  19. 24
  20. 29
  21. 68
  22. 126
  23. 27
  24. 17
  25. 34
  26. 57
  27. 38
  28. 28
  29. 61
  30. 64
  31. 66
  32. 55
  33. 7
  34. 59
  35. 22
  36. 63
  37. 65
  38. 78
  39. 27
  40. 56

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