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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 128 · 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 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 44 (b) 59 (c) 20 (d) 83
  2. 2.What is the average of all the whole numbers from 42 to 78? (a) 61 (b) 60 (c) 36 (d) 18
  3. 3.What is the average of 74, 63, 82 and 65? (a) 70 (b) 72 (c) 71 (d) 73
  4. 4.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 46 (b) 34 (c) 30 (d) 20
  5. 5.What is the average of all the whole numbers from 41 to 63? (a) 53 (b) 52 (c) 22 (d) 11
  6. 6.What is the average of 29, 42, 33, 31 and 65? (a) 39 (b) 41 (c) 50 (d) 40
  7. 7.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 42 (c) 14 (d) 52
  8. 8.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 43 (b) 78 (c) 40 (d) 81
  9. 9.What is the average of 11, 16, 10, 18 and 55? (a) 23 (b) 24 (c) 21 (d) 22
  10. 10.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 34 (b) 37 (c) 75 (d) 35
  11. 11.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 48 (c) 42 (d) 76
  12. 12.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 12 (b) 34 (c) 40 (d) 31
  13. 13.What is the average of 54, 63, 56, 70, 61 and 98? (a) 67 (b) 66 (c) 69 (d) 68
  14. 14.What is the average of all the whole numbers from 7 to 45? (a) 26 (b) 27 (c) 19 (d) 38
  15. 15.The average of 7 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 22 (b) 10 (c) 46 (d) 11
  16. 16.What is the average of 58, 42, 49, 43, 62 and 88? (a) 58 (b) 59 (c) 56 (d) 57
  17. 17.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 45 (b) 31 (c) 93 (d) 30
  18. 18.What is the average of all the whole numbers from 18 to 38? (a) 10 (b) 28 (c) 20 (d) 29
  19. 19.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 34 (b) 29 (c) 40 (d) 64
  20. 20.What is the average of all the whole numbers from 46 to 78? (a) 32 (b) 63 (c) 62 (d) 16
  21. 21.What is the average of all the whole numbers from 12 to 22? (a) 18 (b) 17 (c) 5 (d) 10
  22. 22.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 53? (a) 55 (b) 53 (c) 61 (d) 10
  23. 23.What is the average of 60, 58, 38 and 32? (a) 48 (b) 47 (c) 46 (d) 49
  24. 24.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 58 (b) 4 (c) 27 (d) 3
  25. 25.A batter has an average of 53 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 57 (c) 63 (d) 10
  26. 26.What is the average of 52, 71, 52, 70, 67 and 60? (a) 63 (b) 64 (c) 62 (d) 61
  27. 27.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 48 (c) 47 (d) 101
  28. 28.What is the average of 45, 30, 22 and 31? (a) 32 (b) 34 (c) 31 (d) 33
  29. 29.What is the average of 53, 39, 60, 46, 39 and 63? (a) 50 (b) 60 (c) 49 (d) 51
  30. 30.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 25 (b) 11 (c) 17 (d) 31
  31. 31.What is the average of all the whole numbers from 36 to 44? (a) 4 (b) 8 (c) 40 (d) 41
  32. 32.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 38 (b) 48 (c) 39 (d) 98
  33. 33.What is the average of 52, 42, 31 and 31? (a) 40 (b) 39 (c) 52 (d) 38
  34. 34.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 32 (b) 37 (c) 70 (d) 65
  35. 35.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 87 (b) 34 (c) 42 (d) 33
  36. 36.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 71 (c) 40 (d) 47
  37. 37.What is the average of all the whole numbers from 34 to 66? (a) 50 (b) 32 (c) 16 (d) 51
  38. 38.What is the average of all the whole numbers from 23 to 29? (a) 27 (b) 3 (c) 6 (d) 26
  39. 39.What is the average of all the whole numbers from 38 to 60? (a) 22 (b) 49 (c) 11 (d) 50
  40. 40.What is the average of all the whole numbers from 31 to 47? (a) 39 (b) 16 (c) 8 (d) 40

Answer key

  1. 59
  2. 60
  3. 71
  4. 46
  5. 52
  6. 40
  7. 52
  8. 78
  9. 22
  10. 34
  11. 76
  12. 40
  13. 67
  14. 26
  15. 10
  16. 57
  17. 30
  18. 28
  19. 64
  20. 62
  21. 17
  22. 61
  23. 47
  24. 3
  25. 63
  26. 62
  27. 47
  28. 32
  29. 50
  30. 31
  31. 40
  32. 38
  33. 39
  34. 65
  35. 33
  36. 71
  37. 50
  38. 26
  39. 49
  40. 39

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