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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 909 · 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 38 to 50? (a) 12 (b) 6 (c) 44 (d) 45
  2. 2.What is the average of all the whole numbers from 14 to 20? (a) 17 (b) 6 (c) 3 (d) 18
  3. 3.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 79 (b) 40 (c) 42 (d) 77
  4. 4.What is the average of 51, 36, 55 and 50? (a) 64 (b) 47 (c) 48 (d) 49
  5. 5.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 74 (b) 62 (c) 16 (d) 66
  6. 6.What is the average of 75, 60, 65, 81, 87 and 70? (a) 73 (b) 74 (c) 72 (d) 75
  7. 7.What is the average of 61, 41, 48, 51 and 44? (a) 51 (b) 50 (c) 48 (d) 49
  8. 8.What is the average of 16, 37, 20, 11, 12 and 54? (a) 26 (b) 24 (c) 30 (d) 25
  9. 9.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 34? (a) 8 (b) 40 (c) 36 (d) 34
  10. 10.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 41 (b) 35 (c) 36 (d) 84
  11. 11.What is the average of all the whole numbers from 19 to 37? (a) 29 (b) 9 (c) 18 (d) 28
  12. 12.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 18 (b) 83 (c) 58 (d) 43
  13. 13.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 29? (a) 64 (b) 29 (c) 42 (d) 36
  14. 14.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 51 (b) 20 (c) 49 (d) 67
  15. 15.What is the average of 67, 63, 49, 67 and 24? (a) 56 (b) 55 (c) 54 (d) 53
  16. 16.What is the average of all the whole numbers from 33 to 49? (a) 41 (b) 16 (c) 42 (d) 8
  17. 17.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 83 (b) 19 (c) 20 (d) 39
  18. 18.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 59? (a) 67 (b) 72 (c) 59 (d) 123
  19. 19.What is the average of all the whole numbers from 18 to 24? (a) 21 (b) 6 (c) 22 (d) 3
  20. 20.What is the average of all the whole numbers from 13 to 29? (a) 16 (b) 22 (c) 8 (d) 21
  21. 21.What is the average of 30, 46, 24 and 24? (a) 33 (b) 32 (c) 30 (d) 31
  22. 22.What is the average of 31, 32, 14, 10 and 23? (a) 21 (b) 24 (c) 23 (d) 22
  23. 23.What is the average of 38, 29, 43, 53, 35 and 48? (a) 43 (b) 41 (c) 42 (d) 40
  24. 24.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 36 (b) 34 (c) 50 (d) 18
  25. 25.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 17 (b) 36 (c) 8 (d) 7
  26. 26.What is the average of 48, 50, 30, 41 and 26? (a) 38 (b) 40 (c) 39 (d) 41
  27. 27.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 73 (b) 137 (c) 80 (d) 65
  28. 28.What is the average of 26, 15, 20 and 55? (a) 31 (b) 29 (c) 28 (d) 30
  29. 29.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 8 (b) 7 (c) 28 (d) 13
  30. 30.What is the average of all the whole numbers from 51 to 87? (a) 69 (b) 70 (c) 18 (d) 36
  31. 31.What is the average of 35, 47, 31 and 59? (a) 44 (b) 42 (c) 45 (d) 43
  32. 32.What is the average of all the whole numbers from 24 to 50? (a) 38 (b) 13 (c) 26 (d) 37
  33. 33.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 10 (b) 11 (c) 30 (d) 65
  34. 34.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 41? (a) 21 (b) 44 (c) 59 (d) 41
  35. 35.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 38 (b) 41 (c) 37 (d) 83
  36. 36.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 62 (b) 23 (c) 30 (d) 22
  37. 37.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 18 (b) 37 (c) 34 (d) 49
  38. 38.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 31? (a) 39 (b) 103 (c) 31 (d) 80
  39. 39.What is the average of 19, 17, 29 and 63? (a) 31 (b) 32 (c) 33 (d) 34
  40. 40.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 52? (a) 58 (b) 24 (c) 70 (d) 52

Answer key

  1. 44
  2. 17
  3. 77
  4. 48
  5. 74
  6. 73
  7. 49
  8. 25
  9. 40
  10. 35
  11. 28
  12. 58
  13. 64
  14. 67
  15. 54
  16. 41
  17. 19
  18. 123
  19. 21
  20. 21
  21. 31
  22. 22
  23. 41
  24. 50
  25. 7
  26. 39
  27. 137
  28. 29
  29. 7
  30. 69
  31. 43
  32. 37
  33. 10
  34. 59
  35. 37
  36. 22
  37. 49
  38. 103
  39. 32
  40. 70

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