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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 466 · 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 13, 41, 38, 37, 13 and 20? (a) 29 (b) 26 (c) 28 (d) 27
  2. 2.What is the average of all the whole numbers from 29 to 41? (a) 12 (b) 35 (c) 36 (d) 6
  3. 3.What is the average of all the whole numbers from 5 to 39? (a) 23 (b) 22 (c) 17 (d) 34
  4. 4.What is the average of 50, 23, 34, 26 and 57? (a) 39 (b) 37 (c) 38 (d) 40
  5. 5.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 41 (b) 20 (c) 39 (d) 57
  6. 6.What is the average of 43, 19, 39, 20 and 19? (a) 27 (b) 35 (c) 28 (d) 29
  7. 7.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 27 (b) 24 (c) 15 (d) 36
  8. 8.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 71 (b) 63 (c) 111 (d) 56
  9. 9.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 51 (c) 24 (d) 39
  10. 10.What is the average of all the whole numbers from 29 to 35? (a) 6 (b) 33 (c) 32 (d) 3
  11. 11.What is the average of 45, 32, 27, 28, 26 and 34? (a) 33 (b) 34 (c) 32 (d) 31
  12. 12.What is the average of 26, 25, 39, 37 and 43? (a) 35 (b) 33 (c) 36 (d) 34
  13. 13.What is the average of 74, 67, 92, 81 and 76? (a) 80 (b) 78 (c) 77 (d) 79
  14. 14.What is the average of all the whole numbers from 16 to 52? (a) 34 (b) 35 (c) 36 (d) 18
  15. 15.What is the average of all the whole numbers from 37 to 61? (a) 50 (b) 24 (c) 49 (d) 12
  16. 16.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 62 (b) 32 (c) 64 (d) 34
  17. 17.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 31 (b) 38 (c) 78 (d) 30
  18. 18.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 8 (b) 62 (c) 56 (d) 58
  19. 19.What is the average of 29, 27, 32 and 16? (a) 26 (b) 28 (c) 25 (d) 27
  20. 20.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 97 (b) 50 (c) 18 (d) 65
  21. 21.What is the average of 44, 45, 25, 40 and 46? (a) 40 (b) 39 (c) 50 (d) 41
  22. 22.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 51 (b) 4 (c) 26 (d) 29
  23. 23.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 60 (c) 52 (d) 100
  24. 24.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 77 (b) 56 (c) 63 (d) 28
  25. 25.A batter has an average of 27 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 27 (b) 30 (c) 33 (d) 54
  26. 26.What is the average of 61, 51, 72 and 76? (a) 67 (b) 64 (c) 65 (d) 66
  27. 27.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 72 (b) 18 (c) 60 (d) 57
  28. 28.What is the average of 51, 50, 53, 57, 75 and 80? (a) 63 (b) 61 (c) 60 (d) 62
  29. 29.What is the average of 63, 54, 53, 50 and 60? (a) 70 (b) 57 (c) 56 (d) 55
  30. 30.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 83 (b) 67 (c) 32 (d) 59
  31. 31.What is the average of 50, 58, 38, 54 and 20? (a) 45 (b) 44 (c) 43 (d) 55
  32. 32.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 34 (b) 90 (c) 35 (d) 44
  33. 33.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 22 (b) 17 (c) 45 (d) 18
  34. 34.What is the average of 62, 67, 71, 80, 71 and 81? (a) 74 (b) 72 (c) 73 (d) 71
  35. 35.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 28 (c) 44 (d) 52
  36. 36.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 91 (b) 12 (c) 56 (d) 47
  37. 37.What is the average of 34, 22, 45, 36, 41 and 8? (a) 30 (b) 31 (c) 32 (d) 33
  38. 38.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 50 (b) 47 (c) 27 (d) 71
  39. 39.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) 57 (b) 61 (c) 77 (d) 24
  40. 40.What is the average of all the whole numbers from 20 to 58? (a) 39 (b) 19 (c) 40 (d) 38

Answer key

  1. 27
  2. 35
  3. 22
  4. 38
  5. 57
  6. 28
  7. 36
  8. 111
  9. 51
  10. 32
  11. 32
  12. 34
  13. 78
  14. 34
  15. 49
  16. 62
  17. 30
  18. 62
  19. 26
  20. 65
  21. 40
  22. 29
  23. 100
  24. 77
  25. 54
  26. 65
  27. 72
  28. 61
  29. 56
  30. 83
  31. 44
  32. 34
  33. 17
  34. 72
  35. 44
  36. 56
  37. 31
  38. 71
  39. 77
  40. 39

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