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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 809 · 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 26 to 48? (a) 37 (b) 22 (c) 11 (d) 38
  2. 2.What is the average of 25, 34, 14 and 15? (a) 24 (b) 23 (c) 22 (d) 21
  3. 3.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 41 (b) 36 (c) 71 (d) 40
  4. 4.What is the average of all the whole numbers from 40 to 50? (a) 5 (b) 45 (c) 10 (d) 46
  5. 5.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 42 (b) 38 (c) 5 (d) 75
  6. 6.What is the average of all the whole numbers from 41 to 59? (a) 50 (b) 51 (c) 9 (d) 18
  7. 7.What is the average of 56, 44, 47, 56, 56 and 29? (a) 47 (b) 48 (c) 50 (d) 49
  8. 8.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 69 (c) 42 (d) 33
  9. 9.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 48 (b) 42 (c) 98 (d) 43
  10. 10.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 31? (a) 31 (b) 49 (c) 37 (d) 24
  11. 11.What is the average of all the whole numbers from 56 to 62? (a) 60 (b) 6 (c) 59 (d) 3
  12. 12.What is the average of all the whole numbers from 40 to 48? (a) 45 (b) 4 (c) 44 (d) 8
  13. 13.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 83 (b) 40 (c) 23 (d) 22
  14. 14.What is the average of all the whole numbers from 16 to 30? (a) 23 (b) 24 (c) 14 (d) 7
  15. 15.What is the average of 21, 22, 41, 38 and 48? (a) 36 (b) 33 (c) 34 (d) 35
  16. 16.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 16 (b) 31 (c) 21 (d) 6
  17. 17.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 9 (b) 83 (c) 39 (d) 10
  18. 18.What is the average of all the whole numbers from 9 to 39? (a) 25 (b) 30 (c) 24 (d) 15
  19. 19.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 20 (b) 35 (c) 34 (d) 19
  20. 20.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 45 (b) 6 (c) 5 (d) 20
  21. 21.What is the average of 25, 14, 9, 20, 22 and 36? (a) 20 (b) 22 (c) 23 (d) 21
  22. 22.What is the average of 38, 41, 27 and 58? (a) 40 (b) 41 (c) 43 (d) 42
  23. 23.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 19 (b) 20 (c) 83 (d) 39
  24. 24.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 47 (b) 37 (c) 14 (d) 35
  25. 25.What is the average of 34, 26, 27 and 77? (a) 41 (b) 42 (c) 43 (d) 40
  26. 26.What is the average of 57, 60, 74 and 53? (a) 61 (b) 63 (c) 60 (d) 62
  27. 27.What is the average of 39, 52, 60, 62, 66 and 27? (a) 52 (b) 53 (c) 50 (d) 51
  28. 28.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 47 (b) 39 (c) 32 (d) 63
  29. 29.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 8 (b) 20 (c) 17 (d) 11
  30. 30.What is the average of all the whole numbers from 45 to 53? (a) 4 (b) 49 (c) 8 (d) 50
  31. 31.What is the average of 73, 73, 62 and 68? (a) 70 (b) 68 (c) 69 (d) 92
  32. 32.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 22 (b) 50 (c) 40 (d) 32
  33. 33.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 40 (b) 34 (c) 30 (d) 58
  34. 34.What is the average of 74, 92, 69, 72, 91 and 70? (a) 77 (b) 78 (c) 79 (d) 80
  35. 35.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 15 (b) 21 (c) 43 (d) 14
  36. 36.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 2 (b) 16 (c) 35 (d) 1
  37. 37.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 38 (b) 6 (c) 18 (d) 7
  38. 38.What is the average of 38, 61, 46 and 59? (a) 52 (b) 68 (c) 51 (d) 50
  39. 39.What is the average of 47, 41, 36, 24, 21 and 29? (a) 33 (b) 34 (c) 35 (d) 32
  40. 40.What is the average of 82, 62, 76, 71 and 89? (a) 76 (b) 75 (c) 95 (d) 77

Answer key

  1. 37
  2. 22
  3. 71
  4. 45
  5. 42
  6. 50
  7. 48
  8. 69
  9. 42
  10. 49
  11. 59
  12. 44
  13. 22
  14. 23
  15. 34
  16. 21
  17. 9
  18. 24
  19. 35
  20. 5
  21. 21
  22. 41
  23. 19
  24. 47
  25. 41
  26. 61
  27. 51
  28. 63
  29. 17
  30. 49
  31. 69
  32. 50
  33. 58
  34. 78
  35. 14
  36. 1
  37. 6
  38. 51
  39. 33
  40. 76

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