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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 304 · 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 22 to 58? (a) 40 (b) 36 (c) 41 (d) 18
  2. 2.What is the average of 41, 44, 46, 57, 59 and 41? (a) 48 (b) 49 (c) 50 (d) 47
  3. 3.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 24 (b) 15 (c) 27 (d) 36
  4. 4.What is the average of all the whole numbers from 20 to 42? (a) 11 (b) 32 (c) 22 (d) 31
  5. 5.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 47 (b) 22 (c) 11 (d) 10
  6. 6.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 49 (b) 27 (c) 28 (d) 25
  7. 7.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 56 (b) 10 (c) 48 (d) 94
  8. 8.What is the average of all the whole numbers from 10 to 38? (a) 14 (b) 24 (c) 25 (d) 28
  9. 9.What is the average of all the whole numbers from 46 to 82? (a) 65 (b) 18 (c) 64 (d) 36
  10. 10.What is the average of all the whole numbers from 59 to 73? (a) 14 (b) 67 (c) 66 (d) 7
  11. 11.What is the average of all the whole numbers from 25 to 43? (a) 35 (b) 34 (c) 9 (d) 18
  12. 12.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 27 (c) 29 (d) 50
  13. 13.What is the average of 31, 41, 56 and 56? (a) 47 (b) 45 (c) 48 (d) 46
  14. 14.What is the average of 24, 21, 11, 23 and 21? (a) 21 (b) 19 (c) 25 (d) 20
  15. 15.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 8 (c) 30 (d) 34
  16. 16.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 50 (c) 63 (d) 99
  17. 17.What is the average of all the whole numbers from 7 to 35? (a) 14 (b) 22 (c) 21 (d) 28
  18. 18.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 108 (b) 60 (c) 109 (d) 54
  19. 19.What is the average of 46, 62, 50, 45, 59 and 68? (a) 66 (b) 56 (c) 54 (d) 55
  20. 20.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 25 (b) 14 (c) 27 (d) 26
  21. 21.What is the average of all the whole numbers from 9 to 23? (a) 17 (b) 16 (c) 7 (d) 14
  22. 22.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 63? (a) 70 (b) 63 (c) 56 (d) 112
  23. 23.What is the average of all the whole numbers from 41 to 53? (a) 48 (b) 47 (c) 6 (d) 12
  24. 24.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 35 (b) 83 (c) 60 (d) 29
  25. 25.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 42 (b) 41 (c) 69 (d) 34
  26. 26.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 32 (b) 40 (c) 10 (d) 62
  27. 27.What is the average of 66, 85, 74, 67 and 58? (a) 72 (b) 70 (c) 69 (d) 71
  28. 28.What is the average of 16, 29, 16, 24, 35 and 66? (a) 30 (b) 33 (c) 31 (d) 32
  29. 29.What is the average of 68, 94, 76 and 78? (a) 80 (b) 78 (c) 81 (d) 79
  30. 30.What is the average of all the whole numbers from 18 to 42? (a) 31 (b) 12 (c) 30 (d) 24
  31. 31.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 17 (b) 32 (c) 31 (d) 16
  32. 32.What is the average of all the whole numbers from 36 to 76? (a) 40 (b) 56 (c) 57 (d) 20
  33. 33.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 6 (b) 43 (c) 38 (d) 75
  34. 34.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 113 (b) 50 (c) 70 (d) 57
  35. 35.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 44 (b) 14 (c) 62 (d) 32
  36. 36.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 70 (b) 57 (c) 24 (d) 37
  37. 37.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 29 (b) 55 (c) 18 (d) 44
  38. 38.What is the average of 58, 68, 78 and 56? (a) 64 (b) 65 (c) 67 (d) 66
  39. 39.What is the average of all the whole numbers from 34 to 58? (a) 46 (b) 24 (c) 12 (d) 47
  40. 40.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 40 (b) 39 (c) 92 (d) 45

Answer key

  1. 40
  2. 48
  3. 36
  4. 31
  5. 10
  6. 49
  7. 56
  8. 24
  9. 64
  10. 66
  11. 34
  12. 50
  13. 46
  14. 20
  15. 34
  16. 99
  17. 21
  18. 108
  19. 55
  20. 26
  21. 16
  22. 112
  23. 47
  24. 83
  25. 69
  26. 40
  27. 70
  28. 31
  29. 79
  30. 30
  31. 31
  32. 56
  33. 43
  34. 113
  35. 44
  36. 57
  37. 44
  38. 65
  39. 46
  40. 39

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