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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 987 · 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 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 20 (b) 58 (c) 60 (d) 76
  2. 2.What is the average of all the whole numbers from 50 to 82? (a) 32 (b) 67 (c) 66 (d) 16
  3. 3.What is the average of all the whole numbers from 27 to 49? (a) 11 (b) 39 (c) 22 (d) 38
  4. 4.What is the average of 48, 41, 69 and 62? (a) 56 (b) 57 (c) 54 (d) 55
  5. 5.What is the average of all the whole numbers from 17 to 51? (a) 34 (b) 33 (c) 17 (d) 35
  6. 6.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 51 (b) 31 (c) 58 (d) 24
  7. 7.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 9 (b) 32 (c) 15 (d) 10
  8. 8.What is the average of all the whole numbers from 19 to 37? (a) 29 (b) 9 (c) 18 (d) 28
  9. 9.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 43? (a) 97 (b) 43 (c) 49 (d) 60
  10. 10.What is the average of 88, 80, 68 and 76? (a) 78 (b) 77 (c) 79 (d) 104
  11. 11.What is the average of 35, 34, 38, 34 and 39? (a) 36 (b) 45 (c) 37 (d) 35
  12. 12.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 45? (a) 87 (b) 52 (c) 49 (d) 45
  13. 13.What is the average of 55, 65, 65, 71, 52 and 82? (a) 78 (b) 64 (c) 66 (d) 65
  14. 14.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 39 (b) 52 (c) 14 (d) 27
  15. 15.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 27 (c) 22 (d) 21
  16. 16.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 23 (b) 72 (c) 24 (d) 35
  17. 17.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 8 (b) 82 (c) 48 (d) 42
  18. 18.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 41 (b) 18 (c) 3 (d) 4
  19. 19.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 6 (b) 39 (c) 44 (d) 77
  20. 20.What is the average of 74, 54, 65, 51 and 76? (a) 65 (b) 64 (c) 80 (d) 63
  21. 21.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) 18 (b) 50 (c) 65 (d) 97
  22. 22.What is the average of 75, 70, 55 and 56? (a) 64 (b) 66 (c) 65 (d) 63
  23. 23.What is the average of 59, 52, 67, 78, 75 and 59? (a) 64 (b) 78 (c) 65 (d) 66
  24. 24.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 65 (b) 32 (c) 27 (d) 28
  25. 25.What is the average of all the whole numbers from 5 to 19? (a) 14 (b) 7 (c) 12 (d) 13
  26. 26.What is the average of 48, 56, 56, 62, 56 and 28? (a) 51 (b) 50 (c) 52 (d) 53
  27. 27.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 39 (b) 33 (c) 80 (d) 34
  28. 28.What is the average of 44, 42, 41, 56 and 52? (a) 48 (b) 49 (c) 47 (d) 46
  29. 29.What is the average of all the whole numbers from 12 to 40? (a) 28 (b) 26 (c) 14 (d) 27
  30. 30.What is the average of 12, 18, 29, 20 and 26? (a) 22 (b) 20 (c) 23 (d) 21
  31. 31.What is the average of 75, 55, 72, 54, 64 and 88? (a) 70 (b) 69 (c) 68 (d) 67
  32. 32.What is the average of 71, 69, 73, 65, 55 and 39? (a) 63 (b) 61 (c) 64 (d) 62
  33. 33.What is the average of 56, 83, 83, 77, 64 and 57? (a) 84 (b) 70 (c) 71 (d) 69
  34. 34.What is the average of all the whole numbers from 22 to 62? (a) 40 (b) 43 (c) 20 (d) 42
  35. 35.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 36 (b) 17 (c) 12 (d) 11
  36. 36.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 86 (b) 30 (c) 62 (d) 59
  37. 37.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 67 (b) 46 (c) 43 (d) 27
  38. 38.What is the average of 34, 44, 22 and 20? (a) 29 (b) 31 (c) 30 (d) 40
  39. 39.What is the average of 35, 61, 63, 43 and 38? (a) 49 (b) 47 (c) 60 (d) 48
  40. 40.What is the average of 28, 27, 52 and 61? (a) 41 (b) 43 (c) 42 (d) 56

Answer key

  1. 76
  2. 66
  3. 38
  4. 55
  5. 34
  6. 51
  7. 9
  8. 28
  9. 97
  10. 78
  11. 36
  12. 87
  13. 65
  14. 39
  15. 21
  16. 23
  17. 48
  18. 3
  19. 44
  20. 64
  21. 65
  22. 64
  23. 65
  24. 27
  25. 12
  26. 51
  27. 33
  28. 47
  29. 26
  30. 21
  31. 68
  32. 62
  33. 70
  34. 42
  35. 11
  36. 86
  37. 67
  38. 30
  39. 48
  40. 42

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