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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 344 · 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 all the whole numbers from 8 to 44? (a) 18 (b) 27 (c) 26 (d) 36
  2. 2.What is the average of 55, 39, 39, 45 and 27? (a) 40 (b) 41 (c) 42 (d) 43
  3. 3.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 51 (b) 30 (c) 71 (d) 46
  4. 4.What is the average of 42, 51, 27 and 32? (a) 39 (b) 37 (c) 40 (d) 38
  5. 5.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 60 (b) 42 (c) 24 (d) 39
  6. 6.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 35 (b) 71 (c) 30 (d) 29
  7. 7.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 58 (b) 37 (c) 24 (d) 71
  8. 8.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 63 (b) 21 (c) 22 (d) 30
  9. 9.What is the average of 47, 49, 34 and 10? (a) 37 (b) 36 (c) 35 (d) 34
  10. 10.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 33 (b) 31 (c) 30 (d) 67
  11. 11.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 34 (b) 79 (c) 33 (d) 39
  12. 12.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 31 (c) 59 (d) 32
  13. 13.What is the average of 56, 58, 51, 42, 31 and 20? (a) 44 (b) 45 (c) 43 (d) 42
  14. 14.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) 50 (b) 53 (c) 27 (d) 74
  15. 15.What is the average of 37, 56, 29, 31 and 67? (a) 44 (b) 55 (c) 45 (d) 43
  16. 16.What is the average of 42, 50, 61, 61 and 36? (a) 49 (b) 51 (c) 52 (d) 50
  17. 17.What is the average of all the whole numbers from 45 to 57? (a) 52 (b) 6 (c) 51 (d) 12
  18. 18.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 33? (a) 57 (b) 32 (c) 41 (d) 33
  19. 19.What is the average of all the whole numbers from 21 to 53? (a) 16 (b) 32 (c) 37 (d) 38
  20. 20.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 35 (b) 67 (c) 15 (d) 47
  21. 21.What is the average of 68, 90, 64, 88, 69 and 83? (a) 76 (b) 78 (c) 79 (d) 77
  22. 22.What is the average of all the whole numbers from 39 to 49? (a) 10 (b) 5 (c) 45 (d) 44
  23. 23.What is the average of all the whole numbers from 46 to 82? (a) 18 (b) 65 (c) 64 (d) 36
  24. 24.What is the average of all the whole numbers from 24 to 40? (a) 32 (b) 33 (c) 16 (d) 8
  25. 25.What is the average of 63, 62, 89, 64 and 102? (a) 77 (b) 76 (c) 75 (d) 95
  26. 26.What is the average of 42, 34, 22 and 34? (a) 32 (b) 34 (c) 33 (d) 44
  27. 27.What is the average of 30, 38, 48, 29, 45 and 8? (a) 32 (b) 35 (c) 34 (d) 33
  28. 28.What is the average of 45, 37, 52, 42 and 49? (a) 47 (b) 46 (c) 45 (d) 44
  29. 29.What is the average of 61, 70, 59, 84 and 96? (a) 75 (b) 74 (c) 73 (d) 76
  30. 30.What is the average of 30, 32, 46, 18 and 39? (a) 33 (b) 35 (c) 32 (d) 34
  31. 31.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 46? (a) 94 (b) 56 (c) 46 (d) 54
  32. 32.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 64 (c) 43 (d) 24
  33. 33.What is the average of all the whole numbers from 19 to 57? (a) 38 (b) 39 (c) 19 (d) 37
  34. 34.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 42 (b) 11 (c) 20 (d) 10
  35. 35.What is the average of 59, 56, 57, 60 and 108? (a) 69 (b) 67 (c) 85 (d) 68
  36. 36.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 117 (b) 63 (c) 61 (d) 68
  37. 37.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 97 (b) 49 (c) 64 (d) 41
  38. 38.What is the average of 42, 35, 16 and 19? (a) 27 (b) 28 (c) 29 (d) 30
  39. 39.What is the average of 21, 20, 24, 26, 23 and 96? (a) 35 (b) 34 (c) 36 (d) 42
  40. 40.What is the average of 76, 63, 87, 62 and 87? (a) 76 (b) 77 (c) 74 (d) 75

Answer key

  1. 26
  2. 41
  3. 71
  4. 38
  5. 60
  6. 29
  7. 58
  8. 21
  9. 35
  10. 30
  11. 33
  12. 59
  13. 43
  14. 74
  15. 44
  16. 50
  17. 51
  18. 57
  19. 37
  20. 47
  21. 77
  22. 44
  23. 64
  24. 32
  25. 76
  26. 33
  27. 33
  28. 45
  29. 74
  30. 33
  31. 94
  32. 64
  33. 38
  34. 10
  35. 68
  36. 117
  37. 97
  38. 28
  39. 35
  40. 75

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