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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 405 · 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 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 29 (c) 53 (d) 44
  2. 2.What is the average of all the whole numbers from 22 to 38? (a) 16 (b) 31 (c) 8 (d) 30
  3. 3.What is the average of 67, 88, 61 and 88? (a) 78 (b) 76 (c) 75 (d) 77
  4. 4.What is the average of 31, 18, 25, 16, 44 and 40? (a) 28 (b) 31 (c) 29 (d) 30
  5. 5.What is the average of 17, 19, 18, 24 and 82? (a) 33 (b) 32 (c) 31 (d) 40
  6. 6.What is the average of 36, 51, 43, 45, 36 and 89? (a) 49 (b) 60 (c) 51 (d) 50
  7. 7.What is the average of 15, 24, 8 and 41? (a) 22 (b) 23 (c) 21 (d) 24
  8. 8.What is the average of 45, 58, 48 and 81? (a) 60 (b) 58 (c) 57 (d) 59
  9. 9.What is the average of all the whole numbers from 16 to 42? (a) 26 (b) 29 (c) 30 (d) 13
  10. 10.What is the average of 71, 60, 68, 59 and 87? (a) 70 (b) 68 (c) 69 (d) 71
  11. 11.What is the average of all the whole numbers from 24 to 30? (a) 3 (b) 27 (c) 28 (d) 6
  12. 12.What is the average of 16, 22, 20 and 34? (a) 24 (b) 25 (c) 23 (d) 22
  13. 13.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 29? (a) 64 (b) 29 (c) 37 (d) 85
  14. 14.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 5 (b) 19 (c) 10 (d) 14
  15. 15.What is the average of all the whole numbers from 16 to 36? (a) 26 (b) 20 (c) 27 (d) 10
  16. 16.What is the average of all the whole numbers from 35 to 73? (a) 38 (b) 55 (c) 19 (d) 54
  17. 17.What is the average of 83, 61, 79 and 65? (a) 71 (b) 96 (c) 72 (d) 73
  18. 18.What is the average of all the whole numbers from 20 to 42? (a) 31 (b) 22 (c) 32 (d) 11
  19. 19.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 4 (b) 42 (c) 39 (d) 77
  20. 20.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 104 (b) 30 (c) 50 (d) 31
  21. 21.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 42 (c) 67 (d) 35
  22. 22.What is the average of 27, 24, 16 and 37? (a) 25 (b) 27 (c) 26 (d) 28
  23. 23.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 51 (c) 12 (d) 43
  24. 24.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 61 (c) 45 (d) 96
  25. 25.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 47 (b) 73 (c) 12 (d) 38
  26. 26.What is the average of 35, 14, 19 and 20? (a) 23 (b) 21 (c) 22 (d) 24
  27. 27.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 42 (b) 58 (c) 94 (d) 64
  28. 28.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 37 (b) 16 (c) 46 (d) 25
  29. 29.What is the average of all the whole numbers from 38 to 50? (a) 45 (b) 44 (c) 12 (d) 6
  30. 30.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 7 (b) 8 (c) 66 (d) 31
  31. 31.What is the average of 50, 65, 60 and 41? (a) 53 (b) 72 (c) 54 (d) 55
  32. 32.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 47? (a) 21 (b) 47 (c) 50 (d) 65
  33. 33.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 14 (b) 48 (c) 50 (d) 60
  34. 34.What is the average of all the whole numbers from 29 to 47? (a) 9 (b) 18 (c) 39 (d) 38
  35. 35.What is the average of 62, 44, 65, 44, 65 and 56? (a) 55 (b) 57 (c) 58 (d) 56
  36. 36.What is the average of 46, 43, 36, 54, 46 and 81? (a) 50 (b) 52 (c) 51 (d) 53
  37. 37.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 43? (a) 45 (b) 14 (c) 55 (d) 43
  38. 38.What is the average of all the whole numbers from 18 to 42? (a) 31 (b) 30 (c) 24 (d) 12
  39. 39.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 25 (b) 59 (c) 39 (d) 44
  40. 40.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 49 (b) 29 (c) 28 (d) 101

Answer key

  1. 44
  2. 30
  3. 76
  4. 29
  5. 32
  6. 50
  7. 22
  8. 58
  9. 29
  10. 69
  11. 27
  12. 23
  13. 85
  14. 14
  15. 26
  16. 54
  17. 72
  18. 31
  19. 42
  20. 30
  21. 67
  22. 26
  23. 51
  24. 96
  25. 47
  26. 22
  27. 94
  28. 37
  29. 44
  30. 7
  31. 54
  32. 65
  33. 60
  34. 38
  35. 56
  36. 51
  37. 55
  38. 30
  39. 59
  40. 28

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