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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 668 · 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 66, 63, 61, 39, 39 and 56? (a) 54 (b) 56 (c) 55 (d) 53
  2. 2.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 41 (b) 22 (c) 86 (d) 21
  3. 3.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 42? (a) 50 (b) 48 (c) 82 (d) 42
  4. 4.What is the average of 81, 86, 84, 82 and 57? (a) 78 (b) 77 (c) 79 (d) 80
  5. 5.What is the average of all the whole numbers from 55 to 87? (a) 32 (b) 71 (c) 16 (d) 72
  6. 6.What is the average of all the whole numbers from 17 to 23? (a) 3 (b) 6 (c) 20 (d) 21
  7. 7.What is the average of all the whole numbers from 5 to 17? (a) 6 (b) 11 (c) 12 (d) 10
  8. 8.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 28 (b) 12 (c) 54 (d) 38
  9. 9.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 45? (a) 30 (b) 69 (c) 51 (d) 45
  10. 10.What is the average of all the whole numbers from 35 to 61? (a) 26 (b) 48 (c) 13 (d) 49
  11. 11.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 72 (b) 24 (c) 38 (d) 58
  12. 12.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 42 (c) 60 (d) 90
  13. 13.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 32 (c) 78 (d) 62
  14. 14.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 95 (b) 48 (c) 55 (d) 8
  15. 15.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 48 (b) 92 (c) 24 (d) 68
  16. 16.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 20 (b) 46 (c) 31 (d) 36
  17. 17.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 39 (b) 25 (c) 83 (d) 24
  18. 18.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 27 (b) 20 (c) 25 (d) 43
  19. 19.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) 37 (b) 36 (c) 86 (d) 42
  20. 20.What is the average of 31, 18, 39 and 44? (a) 44 (b) 34 (c) 32 (d) 33
  21. 21.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 65 (c) 101 (d) 48
  22. 22.What is the average of all the whole numbers from 44 to 54? (a) 10 (b) 49 (c) 50 (d) 5
  23. 23.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 53 (b) 51 (c) 59 (d) 10
  24. 24.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 39 (b) 104 (c) 50 (d) 38
  25. 25.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 4 (b) 93 (c) 47 (d) 50
  26. 26.What is the average of all the whole numbers from 57 to 75? (a) 66 (b) 9 (c) 67 (d) 18
  27. 27.What is the average of all the whole numbers from 59 to 95? (a) 18 (b) 36 (c) 77 (d) 78
  28. 28.What is the average of 40, 25, 43, 46, 27 and 5? (a) 33 (b) 31 (c) 32 (d) 30
  29. 29.What is the average of 69, 72, 45, 56, 54 and 64? (a) 60 (b) 72 (c) 61 (d) 59
  30. 30.What is the average of all the whole numbers from 28 to 48? (a) 10 (b) 20 (c) 39 (d) 38
  31. 31.What is the average of 51, 49, 51 and 29? (a) 44 (b) 45 (c) 46 (d) 60
  32. 32.What is the average of 72, 60, 60 and 48? (a) 80 (b) 59 (c) 60 (d) 61
  33. 33.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 37 (b) 78 (c) 14 (d) 13
  34. 34.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 31 (b) 45 (c) 26 (d) 66
  35. 35.What is the average of all the whole numbers from 60 to 86? (a) 73 (b) 13 (c) 74 (d) 26
  36. 36.What is the average of 37, 50, 43 and 46? (a) 43 (b) 45 (c) 46 (d) 44
  37. 37.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 10 (b) 31 (c) 17 (d) 24
  38. 38.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 30 (c) 63 (d) 39
  39. 39.What is the average of all the whole numbers from 5 to 19? (a) 14 (b) 7 (c) 13 (d) 12
  40. 40.What is the average of 12, 19, 23, 14 and 52? (a) 24 (b) 23 (c) 30 (d) 25

Answer key

  1. 54
  2. 21
  3. 82
  4. 78
  5. 71
  6. 20
  7. 11
  8. 38
  9. 69
  10. 48
  11. 58
  12. 90
  13. 78
  14. 55
  15. 68
  16. 46
  17. 24
  18. 43
  19. 36
  20. 33
  21. 101
  22. 49
  23. 59
  24. 38
  25. 50
  26. 66
  27. 77
  28. 31
  29. 60
  30. 38
  31. 45
  32. 60
  33. 13
  34. 66
  35. 73
  36. 44
  37. 31
  38. 63
  39. 12
  40. 24

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