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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 823 · 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 52, 44, 37, 39 and 88? (a) 65 (b) 53 (c) 51 (d) 52
  2. 2.What is the average of all the whole numbers from 41 to 79? (a) 19 (b) 38 (c) 61 (d) 60
  3. 3.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 32 (b) 47 (c) 20 (d) 59
  4. 4.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 12 (b) 70 (c) 36 (d) 46
  5. 5.What is the average of 49, 32, 35 and 48? (a) 41 (b) 40 (c) 42 (d) 43
  6. 6.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 45 (b) 93 (c) 33 (d) 34
  7. 7.What is the average of 38, 47, 48, 40, 24 and 13? (a) 34 (b) 35 (c) 42 (d) 36
  8. 8.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 24 (c) 64 (d) 82
  9. 9.What is the average of all the whole numbers from 46 to 66? (a) 10 (b) 57 (c) 56 (d) 20
  10. 10.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 60? (a) 60 (b) 27 (c) 84 (d) 63
  11. 11.What is the average of 82, 81, 89, 77 and 66? (a) 81 (b) 80 (c) 79 (d) 78
  12. 12.What is the average of 58, 54, 34, 53 and 16? (a) 45 (b) 44 (c) 43 (d) 42
  13. 13.What is the average of 39, 41, 53, 49, 31 and 57? (a) 54 (b) 46 (c) 44 (d) 45
  14. 14.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 39 (b) 24 (c) 42 (d) 21
  15. 15.What is the average of 68, 47, 61, 58 and 51? (a) 57 (b) 59 (c) 58 (d) 56
  16. 16.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 27 (b) 26 (c) 79 (d) 38
  17. 17.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 23 (b) 13 (c) 31 (d) 21
  18. 18.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 8 (b) 79 (c) 40 (d) 47
  19. 19.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 28? (a) 31 (b) 37 (c) 28 (d) 12
  20. 20.What is the average of all the whole numbers from 38 to 64? (a) 52 (b) 13 (c) 51 (d) 26
  21. 21.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 27 (b) 32 (c) 12 (d) 17
  22. 22.A batter has an average of 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 73 (b) 32 (c) 49 (d) 57
  23. 23.What is the average of all the whole numbers from 6 to 42? (a) 24 (b) 25 (c) 36 (d) 18
  24. 24.What is the average of 82, 90, 70 and 66? (a) 79 (b) 77 (c) 76 (d) 78
  25. 25.What is the average of all the whole numbers from 30 to 52? (a) 11 (b) 42 (c) 41 (d) 22
  26. 26.What is the average of 52, 69, 65, 72 and 67? (a) 66 (b) 65 (c) 64 (d) 67
  27. 27.What is the average of 79, 78, 64 and 91? (a) 78 (b) 77 (c) 104 (d) 79
  28. 28.What is the average of all the whole numbers from 8 to 30? (a) 11 (b) 22 (c) 19 (d) 20
  29. 29.What is the average of 23, 26, 43, 36 and 12? (a) 27 (b) 29 (c) 35 (d) 28
  30. 30.What is the average of 72, 58, 61, 65 and 79? (a) 68 (b) 66 (c) 67 (d) 69
  31. 31.What is the average of all the whole numbers from 9 to 29? (a) 10 (b) 18 (c) 20 (d) 19
  32. 32.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 60 (c) 51 (d) 15
  33. 33.What is the average of all the whole numbers from 12 to 44? (a) 32 (b) 16 (c) 29 (d) 28
  34. 34.What is the average of all the whole numbers from 37 to 55? (a) 46 (b) 18 (c) 9 (d) 47
  35. 35.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 3 (b) 23 (c) 49 (d) 2
  36. 36.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 28 (b) 61 (c) 75 (d) 54
  37. 37.What is the average of 35, 36, 34 and 43? (a) 39 (b) 38 (c) 37 (d) 36
  38. 38.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 28 (b) 16 (c) 27 (d) 29
  39. 39.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 66 (b) 55 (c) 35 (d) 24
  40. 40.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 30 (b) 104 (c) 31 (d) 50

Answer key

  1. 52
  2. 60
  3. 47
  4. 46
  5. 41
  6. 33
  7. 35
  8. 82
  9. 56
  10. 84
  11. 79
  12. 43
  13. 45
  14. 42
  15. 57
  16. 26
  17. 31
  18. 47
  19. 37
  20. 51
  21. 27
  22. 73
  23. 24
  24. 77
  25. 41
  26. 65
  27. 78
  28. 19
  29. 28
  30. 67
  31. 19
  32. 60
  33. 28
  34. 46
  35. 2
  36. 75
  37. 37
  38. 28
  39. 55
  40. 30

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