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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 904 · 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.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 48 (b) 42 (c) 78 (d) 36
  2. 2.What is the average of 35, 34, 42, 33 and 11? (a) 32 (b) 30 (c) 33 (d) 31
  3. 3.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 33 (b) 48 (c) 69 (d) 27
  4. 4.What is the average of 68, 67, 73 and 108? (a) 81 (b) 79 (c) 80 (d) 78
  5. 5.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 61 (b) 6 (c) 31 (d) 36
  6. 6.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 27 (b) 55 (c) 22 (d) 23
  7. 7.What is the average of all the whole numbers from 33 to 65? (a) 49 (b) 32 (c) 50 (d) 16
  8. 8.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 25? (a) 25 (b) 28 (c) 18 (d) 40
  9. 9.What is the average of all the whole numbers from 27 to 55? (a) 28 (b) 14 (c) 42 (d) 41
  10. 10.What is the average of 62, 37, 51 and 58? (a) 51 (b) 54 (c) 53 (d) 52
  11. 11.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 29 (b) 30 (c) 44 (d) 93
  12. 12.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 29 (b) 20 (c) 14 (d) 23
  13. 13.What is the average of all the whole numbers from 22 to 38? (a) 31 (b) 16 (c) 30 (d) 8
  14. 14.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 56? (a) 56 (b) 84 (c) 35 (d) 63
  15. 15.What is the average of 33, 27, 32 and 68? (a) 39 (b) 41 (c) 42 (d) 40
  16. 16.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 13 (b) 24 (c) 23 (d) 34
  17. 17.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 16 (b) 22 (c) 15 (d) 45
  18. 18.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 45 (b) 62 (c) 67 (d) 102
  19. 19.What is the average of 86, 88, 82, 68 and 41? (a) 72 (b) 74 (c) 73 (d) 75
  20. 20.What is the average of all the whole numbers from 59 to 69? (a) 5 (b) 64 (c) 10 (d) 65
  21. 21.What is the average of all the whole numbers from 43 to 57? (a) 51 (b) 14 (c) 50 (d) 7
  22. 22.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 98 (b) 47 (c) 24 (d) 23
  23. 23.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 4 (b) 3 (c) 18 (d) 39
  24. 24.What is the average of 53, 67, 78 and 74? (a) 69 (b) 68 (c) 67 (d) 70
  25. 25.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 77 (b) 41 (c) 30 (d) 66
  26. 26.What is the average of 55, 65, 54 and 86? (a) 64 (b) 66 (c) 67 (d) 65
  27. 27.What is the average of all the whole numbers from 18 to 52? (a) 34 (b) 35 (c) 36 (d) 17
  28. 28.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 24 (b) 76 (c) 25 (d) 36
  29. 29.What is the average of all the whole numbers from 17 to 39? (a) 22 (b) 29 (c) 11 (d) 28
  30. 30.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 21 (b) 33 (c) 15 (d) 39
  31. 31.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 28 (c) 18 (d) 42
  32. 32.What is the average of all the whole numbers from 60 to 88? (a) 28 (b) 74 (c) 75 (d) 14
  33. 33.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 29 (b) 38 (c) 30 (d) 79
  34. 34.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 67 (b) 89 (c) 24 (d) 46
  35. 35.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 28 (c) 12 (d) 36
  36. 36.What is the average of 43, 59, 57, 43 and 83? (a) 56 (b) 58 (c) 57 (d) 59
  37. 37.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 15 (b) 57 (c) 48 (d) 45
  38. 38.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 57 (c) 39 (d) 30
  39. 39.What is the average of 49, 63, 48 and 40? (a) 49 (b) 51 (c) 52 (d) 50
  40. 40.What is the average of 52, 57, 55 and 80? (a) 62 (b) 61 (c) 63 (d) 60

Answer key

  1. 78
  2. 31
  3. 69
  4. 79
  5. 36
  6. 22
  7. 49
  8. 40
  9. 41
  10. 52
  11. 29
  12. 29
  13. 30
  14. 84
  15. 40
  16. 34
  17. 15
  18. 102
  19. 73
  20. 64
  21. 50
  22. 23
  23. 3
  24. 68
  25. 66
  26. 65
  27. 35
  28. 24
  29. 28
  30. 33
  31. 42
  32. 74
  33. 29
  34. 67
  35. 36
  36. 57
  37. 57
  38. 57
  39. 50
  40. 61

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