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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 766 · 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 25 to 57? (a) 42 (b) 16 (c) 41 (d) 32
  2. 2.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 63 (b) 15 (c) 60 (d) 72
  3. 3.What is the average of 79, 78, 76, 66, 76 and 81? (a) 75 (b) 77 (c) 78 (d) 76
  4. 4.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 9 (c) 10 (d) 19
  5. 5.What is the average of 9, 34, 32, 17 and 8? (a) 20 (b) 25 (c) 19 (d) 21
  6. 6.What is the average of 34, 15, 19 and 36? (a) 25 (b) 28 (c) 26 (d) 27
  7. 7.What is the average of 32, 46, 26 and 40? (a) 37 (b) 35 (c) 48 (d) 36
  8. 8.What is the average of 27, 26, 24 and 59? (a) 35 (b) 33 (c) 34 (d) 36
  9. 9.What is the average of 40, 41, 23 and 16? (a) 40 (b) 31 (c) 29 (d) 30
  10. 10.What is the average of all the whole numbers from 47 to 61? (a) 54 (b) 7 (c) 55 (d) 14
  11. 11.What is the average of all the whole numbers from 50 to 56? (a) 53 (b) 3 (c) 54 (d) 6
  12. 12.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 61 (b) 70 (c) 58 (d) 15
  13. 13.What is the average of all the whole numbers from 18 to 58? (a) 40 (b) 20 (c) 38 (d) 39
  14. 14.What is the average of all the whole numbers from 9 to 33? (a) 12 (b) 24 (c) 22 (d) 21
  15. 15.What is the average of all the whole numbers from 34 to 44? (a) 39 (b) 10 (c) 5 (d) 40
  16. 16.What is the average of all the whole numbers from 5 to 21? (a) 14 (b) 13 (c) 8 (d) 16
  17. 17.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 60 (b) 84 (c) 30 (d) 36
  18. 18.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 53 (c) 15 (d) 62
  19. 19.What is the average of all the whole numbers from 59 to 67? (a) 64 (b) 8 (c) 63 (d) 4
  20. 20.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 20 (b) 48 (c) 32 (d) 60
  21. 21.What is the average of 81, 83, 95, 73, 86 and 62? (a) 96 (b) 81 (c) 80 (d) 79
  22. 22.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 49 (b) 100 (c) 42 (d) 41
  23. 23.What is the average of 63, 80, 64, 89 and 94? (a) 80 (b) 77 (c) 79 (d) 78
  24. 24.What is the average of all the whole numbers from 40 to 80? (a) 61 (b) 20 (c) 40 (d) 60
  25. 25.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 28 (b) 64 (c) 84 (d) 60
  26. 26.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 13 (b) 29 (c) 1 (d) 2
  27. 27.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 13 (b) 27 (c) 8 (d) 7
  28. 28.A batter has an average of 50 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 60 (c) 70 (d) 20
  29. 29.What is the average of all the whole numbers from 40 to 70? (a) 30 (b) 15 (c) 55 (d) 56
  30. 30.What is the average of all the whole numbers from 12 to 50? (a) 32 (b) 38 (c) 19 (d) 31
  31. 31.What is the average of all the whole numbers from 16 to 36? (a) 27 (b) 10 (c) 26 (d) 20
  32. 32.What is the average of 81, 77, 86, 65, 70 and 95? (a) 78 (b) 79 (c) 80 (d) 81
  33. 33.What is the average of 65, 63, 61, 37, 62 and 12? (a) 50 (b) 49 (c) 60 (d) 51
  34. 34.What is the average of 42, 25, 48, 26, 31 and 32? (a) 33 (b) 35 (c) 34 (d) 36
  35. 35.What is the average of all the whole numbers from 52 to 68? (a) 8 (b) 60 (c) 61 (d) 16
  36. 36.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 32 (b) 26 (c) 65 (d) 27
  37. 37.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 25 (b) 54 (c) 14 (d) 13
  38. 38.What is the average of all the whole numbers from 29 to 37? (a) 34 (b) 4 (c) 8 (d) 33
  39. 39.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 54 (b) 36 (c) 28 (d) 10
  40. 40.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 20 (b) 73 (c) 39 (d) 54

Answer key

  1. 41
  2. 72
  3. 76
  4. 9
  5. 20
  6. 26
  7. 36
  8. 34
  9. 30
  10. 54
  11. 53
  12. 70
  13. 38
  14. 21
  15. 39
  16. 13
  17. 84
  18. 62
  19. 63
  20. 48
  21. 80
  22. 41
  23. 78
  24. 60
  25. 84
  26. 1
  27. 7
  28. 70
  29. 55
  30. 31
  31. 26
  32. 79
  33. 50
  34. 34
  35. 60
  36. 26
  37. 13
  38. 33
  39. 36
  40. 54

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