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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 511 · 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 64, 65, 47 and 56? (a) 59 (b) 60 (c) 58 (d) 57
  2. 2.What is the average of 50, 38, 37, 59 and 66? (a) 52 (b) 49 (c) 50 (d) 51
  3. 3.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 74 (b) 53 (c) 50 (d) 27
  4. 4.What is the average of 33, 56, 39 and 60? (a) 49 (b) 47 (c) 48 (d) 46
  5. 5.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 38 (b) 78 (c) 56 (d) 30
  6. 6.What is the average of 18, 17, 21, 32, 41 and 33? (a) 27 (b) 26 (c) 29 (d) 28
  7. 7.What is the average of 42, 56, 42, 49, 38 and 43? (a) 46 (b) 44 (c) 54 (d) 45
  8. 8.What is the average of all the whole numbers from 49 to 73? (a) 12 (b) 24 (c) 61 (d) 62
  9. 9.What is the average of all the whole numbers from 38 to 46? (a) 8 (b) 42 (c) 4 (d) 43
  10. 10.What is the average of 31, 38, 19 and 44? (a) 44 (b) 32 (c) 34 (d) 33
  11. 11.What is the average of all the whole numbers from 10 to 40? (a) 15 (b) 30 (c) 25 (d) 26
  12. 12.What is the average of 41, 23, 42, 33 and 31? (a) 34 (b) 36 (c) 35 (d) 33
  13. 13.What is the average of 25, 33, 46, 40, 27 and 45? (a) 38 (b) 35 (c) 36 (d) 37
  14. 14.What is the average of all the whole numbers from 51 to 61? (a) 10 (b) 57 (c) 5 (d) 56
  15. 15.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 49 (b) 30 (c) 102 (d) 29
  16. 16.What is the average of all the whole numbers from 17 to 29? (a) 6 (b) 23 (c) 12 (d) 24
  17. 17.What is the average of all the whole numbers from 44 to 66? (a) 11 (b) 56 (c) 22 (d) 55
  18. 18.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 39 (c) 16 (d) 27
  19. 19.What is the average of 54, 56, 71, 64, 65 and 62? (a) 62 (b) 63 (c) 61 (d) 64
  20. 20.What is the average of 62, 54, 59, 62 and 8? (a) 50 (b) 51 (c) 48 (d) 49
  21. 21.What is the average of 51, 46, 47 and 92? (a) 59 (b) 58 (c) 60 (d) 61
  22. 22.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 47? (a) 55 (b) 48 (c) 87 (d) 47
  23. 23.What is the average of all the whole numbers from 36 to 76? (a) 57 (b) 20 (c) 56 (d) 40
  24. 24.What is the average of all the whole numbers from 50 to 88? (a) 70 (b) 38 (c) 69 (d) 19
  25. 25.What is the average of all the whole numbers from 48 to 84? (a) 18 (b) 36 (c) 66 (d) 67
  26. 26.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 36 (b) 42 (c) 37 (d) 86
  27. 27.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 17 (b) 16 (c) 46 (d) 97
  28. 28.What is the average of 44, 22, 27, 31 and 46? (a) 35 (b) 36 (c) 33 (d) 34
  29. 29.What is the average of 74, 60, 78, 58 and 50? (a) 80 (b) 63 (c) 64 (d) 65
  30. 30.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 24? (a) 34 (b) 12 (c) 26 (d) 24
  31. 31.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 39 (c) 53 (d) 28
  32. 32.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 61 (b) 77 (c) 57 (d) 24
  33. 33.What is the average of 66, 65, 67 and 86? (a) 71 (b) 72 (c) 73 (d) 70
  34. 34.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 32 (b) 33 (c) 78 (d) 38
  35. 35.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 105 (b) 63 (c) 70 (d) 49
  36. 36.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 25 (c) 8 (d) 29
  37. 37.What is the average of all the whole numbers from 9 to 23? (a) 17 (b) 14 (c) 16 (d) 7
  38. 38.What is the average of all the whole numbers from 5 to 27? (a) 11 (b) 17 (c) 22 (d) 16
  39. 39.What is the average of 37, 28, 35, 21, 23 and 54? (a) 32 (b) 33 (c) 35 (d) 34
  40. 40.What is the average of 47, 66, 44, 61 and 42? (a) 53 (b) 52 (c) 65 (d) 51

Answer key

  1. 58
  2. 50
  3. 74
  4. 47
  5. 78
  6. 27
  7. 45
  8. 61
  9. 42
  10. 33
  11. 25
  12. 34
  13. 36
  14. 56
  15. 29
  16. 23
  17. 55
  18. 39
  19. 62
  20. 49
  21. 59
  22. 87
  23. 56
  24. 69
  25. 66
  26. 36
  27. 16
  28. 34
  29. 64
  30. 34
  31. 53
  32. 77
  33. 71
  34. 32
  35. 105
  36. 29
  37. 16
  38. 16
  39. 33
  40. 52

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