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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 227 · 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 44 to 56? (a) 12 (b) 50 (c) 51 (d) 6
  2. 2.What is the average of all the whole numbers from 45 to 61? (a) 53 (b) 54 (c) 16 (d) 8
  3. 3.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 56 (c) 58 (d) 32
  4. 4.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 19 (b) 49 (c) 24 (d) 20
  5. 5.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 49 (b) 53 (c) 5 (d) 97
  6. 6.What is the average of 25, 38, 45 and 16? (a) 31 (b) 30 (c) 33 (d) 32
  7. 7.What is the average of 57, 46, 41, 46 and 30? (a) 43 (b) 45 (c) 55 (d) 44
  8. 8.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 49 (c) 46 (d) 81
  9. 9.What is the average of all the whole numbers from 15 to 27? (a) 22 (b) 21 (c) 12 (d) 6
  10. 10.What is the average of all the whole numbers from 53 to 71? (a) 62 (b) 18 (c) 9 (d) 63
  11. 11.What is the average of 55, 48, 67, 51 and 39? (a) 53 (b) 65 (c) 52 (d) 51
  12. 12.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 26 (b) 20 (c) 53 (d) 19
  13. 13.What is the average of 22, 25, 43 and 50? (a) 37 (b) 35 (c) 36 (d) 34
  14. 14.What is the average of all the whole numbers from 18 to 48? (a) 34 (b) 30 (c) 33 (d) 15
  15. 15.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 23 (b) 22 (c) 38 (d) 80
  16. 16.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 48 (b) 57 (c) 93 (d) 51
  17. 17.What is the average of 58, 56, 50 and 76? (a) 59 (b) 80 (c) 61 (d) 60
  18. 18.What is the average of 47, 29, 51 and 17? (a) 37 (b) 36 (c) 35 (d) 48
  19. 19.What is the average of all the whole numbers from 53 to 73? (a) 63 (b) 64 (c) 10 (d) 20
  20. 20.What is the average of all the whole numbers from 12 to 26? (a) 19 (b) 20 (c) 7 (d) 14
  21. 21.What is the average of 58, 66, 72 and 76? (a) 67 (b) 69 (c) 70 (d) 68
  22. 22.What is the average of 33, 30, 44 and 61? (a) 42 (b) 43 (c) 41 (d) 56
  23. 23.What is the average of all the whole numbers from 55 to 95? (a) 76 (b) 20 (c) 40 (d) 75
  24. 24.What is the average of all the whole numbers from 47 to 53? (a) 6 (b) 3 (c) 51 (d) 50
  25. 25.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 36 (b) 45 (c) 37 (d) 93
  26. 26.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 60 (b) 27 (c) 81 (d) 33
  27. 27.What is the average of 26, 35, 34, 44 and 6? (a) 29 (b) 28 (c) 30 (d) 31
  28. 28.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 51 (b) 36 (c) 18 (d) 69
  29. 29.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 38 (b) 72 (c) 30 (d) 94
  30. 30.What is the average of 36, 43, 36, 34 and 81? (a) 47 (b) 46 (c) 45 (d) 48
  31. 31.What is the average of 28, 22, 36 and 42? (a) 33 (b) 34 (c) 31 (d) 32
  32. 32.What is the average of all the whole numbers from 51 to 69? (a) 60 (b) 9 (c) 18 (d) 61
  33. 33.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) 54 (b) 75 (c) 28 (d) 61
  34. 34.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 63 (b) 56 (c) 119 (d) 70
  35. 35.What is the average of 36, 31, 26, 34, 24 and 77? (a) 37 (b) 38 (c) 40 (d) 39
  36. 36.What is the average of 55, 54, 62, 54, 74 and 79? (a) 63 (b) 65 (c) 64 (d) 62
  37. 37.What is the average of 46, 41, 34, 22 and 17? (a) 33 (b) 40 (c) 32 (d) 31
  38. 38.What is the average of 70, 72, 85 and 85? (a) 79 (b) 104 (c) 77 (d) 78
  39. 39.What is the average of all the whole numbers from 15 to 51? (a) 34 (b) 33 (c) 36 (d) 18
  40. 40.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 32 (c) 16 (d) 38

Answer key

  1. 50
  2. 53
  3. 58
  4. 19
  5. 53
  6. 31
  7. 44
  8. 81
  9. 21
  10. 62
  11. 52
  12. 19
  13. 35
  14. 33
  15. 22
  16. 93
  17. 60
  18. 36
  19. 63
  20. 19
  21. 68
  22. 42
  23. 75
  24. 50
  25. 36
  26. 81
  27. 29
  28. 51
  29. 94
  30. 46
  31. 32
  32. 60
  33. 75
  34. 119
  35. 38
  36. 63
  37. 32
  38. 78
  39. 33
  40. 38

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