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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 427 · 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 25, 22, 13, 12 and 33? (a) 21 (b) 20 (c) 22 (d) 23
  2. 2.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 30 (b) 31 (c) 29 (d) 16
  3. 3.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 37 (b) 27 (c) 25 (d) 14
  4. 4.What is the average of all the whole numbers from 32 to 66? (a) 17 (b) 49 (c) 34 (d) 50
  5. 5.What is the average of all the whole numbers from 46 to 54? (a) 8 (b) 51 (c) 4 (d) 50
  6. 6.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 65 (b) 73 (c) 16 (d) 61
  7. 7.What is the average of 83, 60, 63, 54 and 85? (a) 71 (b) 68 (c) 70 (d) 69
  8. 8.What is the average of 64, 50, 52, 68, 49 and 83? (a) 63 (b) 61 (c) 60 (d) 62
  9. 9.What is the average of 13, 13, 11, 34 and 39? (a) 21 (b) 24 (c) 22 (d) 23
  10. 10.What is the average of 22, 23, 25, 12 and 28? (a) 23 (b) 24 (c) 22 (d) 21
  11. 11.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 49 (b) 47 (c) 24 (d) 26
  12. 12.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 24 (b) 52 (c) 34 (d) 31
  13. 13.What is the average of 38, 30, 39 and 65? (a) 42 (b) 44 (c) 43 (d) 45
  14. 14.What is the average of 36, 44, 33 and 3? (a) 29 (b) 28 (c) 30 (d) 31
  15. 15.What is the average of 33, 15, 18 and 34? (a) 25 (b) 27 (c) 24 (d) 26
  16. 16.What is the average of 69, 72, 80, 82, 63 and 102? (a) 80 (b) 77 (c) 78 (d) 79
  17. 17.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 23 (b) 104 (c) 50 (d) 22
  18. 18.What is the average of 88, 70, 91, 86, 66 and 67? (a) 77 (b) 79 (c) 78 (d) 80
  19. 19.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 20 (b) 26 (c) 21 (d) 54
  20. 20.What is the average of 7, 32, 8, 11 and 47? (a) 22 (b) 23 (c) 20 (d) 21
  21. 21.What is the average of 88, 68, 71, 89, 75 and 89? (a) 80 (b) 81 (c) 79 (d) 96
  22. 22.What is the average of 56, 64, 53 and 83? (a) 66 (b) 63 (c) 65 (d) 64
  23. 23.What is the average of 40, 46, 44, 52 and 8? (a) 39 (b) 37 (c) 40 (d) 38
  24. 24.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 16 (c) 23 (d) 22
  25. 25.What is the average of 44, 64, 48, 56, 50 and 56? (a) 53 (b) 55 (c) 52 (d) 54
  26. 26.What is the average of 41, 54, 42, 35, 52 and 34? (a) 45 (b) 43 (c) 42 (d) 44
  27. 27.What is the average of 60, 75, 71 and 54? (a) 67 (b) 64 (c) 65 (d) 66
  28. 28.What is the average of all the whole numbers from 12 to 28? (a) 8 (b) 20 (c) 16 (d) 21
  29. 29.What is the average of all the whole numbers from 14 to 42? (a) 28 (b) 29 (c) 27 (d) 14
  30. 30.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 42 (b) 82 (c) 14 (d) 54
  31. 31.What is the average of 64, 85, 70 and 65? (a) 71 (b) 73 (c) 72 (d) 70
  32. 32.What is the average of all the whole numbers from 11 to 21? (a) 17 (b) 5 (c) 16 (d) 10
  33. 33.What is the average of 53, 42, 36, 34, 46 and 29? (a) 48 (b) 41 (c) 39 (d) 40
  34. 34.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 30 (b) 29 (c) 17 (d) 42
  35. 35.What is the average of all the whole numbers from 41 to 47? (a) 6 (b) 3 (c) 44 (d) 45
  36. 36.What is the average of 67, 48, 58, 54 and 58? (a) 56 (b) 59 (c) 58 (d) 57
  37. 37.What is the average of all the whole numbers from 8 to 36? (a) 28 (b) 23 (c) 14 (d) 22
  38. 38.What is the average of all the whole numbers from 14 to 38? (a) 12 (b) 24 (c) 27 (d) 26
  39. 39.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 32 (c) 67 (d) 43
  40. 40.What is the average of 68, 82, 88, 65 and 72? (a) 76 (b) 75 (c) 77 (d) 74

Answer key

  1. 21
  2. 30
  3. 37
  4. 49
  5. 50
  6. 73
  7. 69
  8. 61
  9. 22
  10. 22
  11. 47
  12. 52
  13. 43
  14. 29
  15. 25
  16. 78
  17. 22
  18. 78
  19. 20
  20. 21
  21. 80
  22. 64
  23. 38
  24. 22
  25. 53
  26. 43
  27. 65
  28. 20
  29. 28
  30. 54
  31. 71
  32. 16
  33. 40
  34. 42
  35. 44
  36. 57
  37. 22
  38. 26
  39. 67
  40. 75

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