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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 433 · 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 57 to 65? (a) 61 (b) 62 (c) 4 (d) 8
  2. 2.What is the average of 16, 34, 20 and 46? (a) 30 (b) 31 (c) 29 (d) 28
  3. 3.What is the average of all the whole numbers from 55 to 73? (a) 65 (b) 9 (c) 64 (d) 18
  4. 4.What is the average of 23, 25, 17, 34 and 21? (a) 23 (b) 25 (c) 24 (d) 30
  5. 5.What is the average of all the whole numbers from 55 to 63? (a) 4 (b) 8 (c) 59 (d) 60
  6. 6.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 31 (b) 32 (c) 98 (d) 47
  7. 7.What is the average of 62, 68, 73 and 45? (a) 63 (b) 61 (c) 62 (d) 64
  8. 8.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 96 (b) 59 (c) 49 (d) 12
  9. 9.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) 35 (b) 25 (c) 55 (d) 45
  10. 10.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 10 (b) 6 (c) 19 (d) 15
  11. 11.What is the average of all the whole numbers from 7 to 45? (a) 19 (b) 26 (c) 38 (d) 27
  12. 12.What is the average of 42, 61, 42 and 59? (a) 52 (b) 68 (c) 51 (d) 50
  13. 13.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 30 (b) 72 (c) 35 (d) 29
  14. 14.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 54 (c) 32 (d) 74
  15. 15.What is the average of all the whole numbers from 11 to 37? (a) 25 (b) 26 (c) 24 (d) 13
  16. 16.What is the average of 11, 23, 23, 19 and 54? (a) 27 (b) 25 (c) 28 (d) 26
  17. 17.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 81 (b) 32 (c) 56 (d) 39
  18. 18.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 69 (b) 16 (c) 33 (d) 15
  19. 19.What is the average of 19, 37, 37 and 39? (a) 33 (b) 32 (c) 44 (d) 34
  20. 20.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 25 (b) 8 (c) 12 (d) 9
  21. 21.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 30 (b) 81 (c) 57 (d) 63
  22. 22.What is the average of all the whole numbers from 25 to 43? (a) 35 (b) 9 (c) 18 (d) 34
  23. 23.What is the average of 48, 44, 40, 59 and 34? (a) 46 (b) 44 (c) 45 (d) 47
  24. 24.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 44 (b) 32 (c) 15 (d) 61
  25. 25.What is the average of all the whole numbers from 20 to 58? (a) 19 (b) 40 (c) 38 (d) 39
  26. 26.What is the average of 67, 66, 82 and 101? (a) 80 (b) 79 (c) 78 (d) 81
  27. 27.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 20 (b) 13 (c) 8 (d) 25
  28. 28.What is the average of 54, 41, 57 and 44? (a) 48 (b) 51 (c) 49 (d) 50
  29. 29.What is the average of 60, 63, 66, 72 and 109? (a) 73 (b) 74 (c) 76 (d) 75
  30. 30.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 66? (a) 42 (b) 101 (c) 73 (d) 66
  31. 31.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 59 (b) 53 (c) 50 (d) 12
  32. 32.What is the average of all the whole numbers from 37 to 65? (a) 51 (b) 52 (c) 28 (d) 14
  33. 33.What is the average of all the whole numbers from 11 to 33? (a) 23 (b) 11 (c) 21 (d) 22
  34. 34.What is the average of all the whole numbers from 43 to 69? (a) 56 (b) 57 (c) 26 (d) 13
  35. 35.What is the average of 24, 35, 24 and 29? (a) 27 (b) 29 (c) 30 (d) 28
  36. 36.What is the average of 44, 58, 40 and 50? (a) 48 (b) 49 (c) 64 (d) 47
  37. 37.What is the average of 78, 64, 63, 92 and 88? (a) 79 (b) 77 (c) 76 (d) 78
  38. 38.What is the average of 89, 86, 91, 75, 89 and 50? (a) 81 (b) 96 (c) 79 (d) 80
  39. 39.What is the average of 51, 58, 73 and 66? (a) 62 (b) 61 (c) 64 (d) 63
  40. 40.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 38 (b) 24 (c) 16 (d) 26

Answer key

  1. 61
  2. 29
  3. 64
  4. 24
  5. 59
  6. 31
  7. 62
  8. 59
  9. 55
  10. 15
  11. 26
  12. 51
  13. 29
  14. 74
  15. 24
  16. 26
  17. 81
  18. 15
  19. 33
  20. 8
  21. 81
  22. 34
  23. 45
  24. 44
  25. 39
  26. 79
  27. 20
  28. 49
  29. 74
  30. 101
  31. 59
  32. 51
  33. 22
  34. 56
  35. 28
  36. 48
  37. 77
  38. 80
  39. 62
  40. 38

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