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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 283 · 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 34 to 66? (a) 50 (b) 16 (c) 32 (d) 51
  2. 2.What is the average of all the whole numbers from 43 to 55? (a) 6 (b) 49 (c) 50 (d) 12
  3. 3.What is the average of all the whole numbers from 38 to 50? (a) 12 (b) 45 (c) 6 (d) 44
  4. 4.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 67 (b) 33 (c) 29 (d) 28
  5. 5.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 70 (b) 92 (c) 29 (d) 36
  6. 6.What is the average of all the whole numbers from 57 to 77? (a) 10 (b) 67 (c) 20 (d) 68
  7. 7.What is the average of all the whole numbers from 13 to 51? (a) 32 (b) 19 (c) 33 (d) 38
  8. 8.What is the average of 55, 71, 74 and 60? (a) 65 (b) 64 (c) 67 (d) 66
  9. 9.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) 48 (c) 30 (d) 68
  10. 10.What is the average of all the whole numbers from 36 to 72? (a) 18 (b) 55 (c) 36 (d) 54
  11. 11.What is the average of all the whole numbers from 54 to 72? (a) 64 (b) 63 (c) 9 (d) 18
  12. 12.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 7 (b) 29 (c) 8 (d) 14
  13. 13.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 68 (b) 44 (c) 48 (d) 28
  14. 14.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 20 (b) 15 (c) 26 (d) 31
  15. 15.What is the average of 25, 35, 30 and 66? (a) 39 (b) 38 (c) 40 (d) 52
  16. 16.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 32 (b) 66 (c) 21 (d) 20
  17. 17.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) 15 (b) 32 (c) 44 (d) 61
  18. 18.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 41 (c) 14 (d) 51
  19. 19.What is the average of 39, 27, 45 and 13? (a) 33 (b) 31 (c) 30 (d) 32
  20. 20.What is the average of all the whole numbers from 49 to 65? (a) 58 (b) 8 (c) 16 (d) 57
  21. 21.What is the average of 61, 67, 54 and 46? (a) 76 (b) 56 (c) 57 (d) 58
  22. 22.What is the average of all the whole numbers from 26 to 60? (a) 17 (b) 34 (c) 44 (d) 43
  23. 23.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 79 (c) 55 (d) 40
  24. 24.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 36 (b) 38 (c) 32 (d) 62
  25. 25.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 35 (b) 56 (c) 28 (d) 77
  26. 26.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 18 (b) 76 (c) 60 (d) 62
  27. 27.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 66 (c) 81 (d) 25
  28. 28.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 52 (b) 15 (c) 77 (d) 40
  29. 29.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) 34 (b) 42 (c) 41 (d) 69
  30. 30.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 50 (b) 24 (c) 19 (d) 18
  31. 31.What is the average of all the whole numbers from 41 to 59? (a) 9 (b) 50 (c) 18 (d) 51
  32. 32.What is the average of all the whole numbers from 20 to 32? (a) 26 (b) 12 (c) 27 (d) 6
  33. 33.What is the average of 30, 53, 53, 42, 34 and 40? (a) 42 (b) 44 (c) 41 (d) 43
  34. 34.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 30 (b) 24 (c) 8 (d) 46
  35. 35.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 30 (b) 32 (c) 57 (d) 59
  36. 36.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 49 (b) 18 (c) 95 (d) 64
  37. 37.What is the average of 36, 51, 47 and 46? (a) 46 (b) 44 (c) 60 (d) 45
  38. 38.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 30 (b) 24 (c) 26 (d) 46
  39. 39.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 5 (b) 38 (c) 18 (d) 4
  40. 40.What is the average of 80, 66, 57 and 73? (a) 69 (b) 68 (c) 70 (d) 92

Answer key

  1. 50
  2. 49
  3. 44
  4. 28
  5. 92
  6. 67
  7. 32
  8. 65
  9. 68
  10. 54
  11. 63
  12. 7
  13. 68
  14. 31
  15. 39
  16. 20
  17. 44
  18. 51
  19. 31
  20. 57
  21. 57
  22. 43
  23. 79
  24. 62
  25. 77
  26. 76
  27. 81
  28. 52
  29. 69
  30. 18
  31. 50
  32. 26
  33. 42
  34. 30
  35. 57
  36. 64
  37. 45
  38. 46
  39. 4
  40. 69

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