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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 665 · 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 64, 74, 73, 57, 63 and 59? (a) 64 (b) 66 (c) 65 (d) 78
  2. 2.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 67 (b) 32 (c) 17 (d) 18
  3. 3.What is the average of 52, 50, 56, 59 and 108? (a) 66 (b) 67 (c) 65 (d) 64
  4. 4.What is the average of all the whole numbers from 16 to 46? (a) 31 (b) 32 (c) 15 (d) 30
  5. 5.What is the average of all the whole numbers from 54 to 66? (a) 61 (b) 6 (c) 60 (d) 12
  6. 6.What is the average of 37, 55, 38, 59 and 71? (a) 65 (b) 51 (c) 52 (d) 53
  7. 7.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 49 (b) 104 (c) 62 (d) 69
  8. 8.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 10 (b) 19 (c) 7 (d) 16
  9. 9.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 12 (b) 31 (c) 26 (d) 17
  10. 10.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 26 (b) 20 (c) 7 (d) 39
  11. 11.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 44 (b) 43 (c) 100 (d) 49
  12. 12.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 17 (b) 25 (c) 5 (d) 13
  13. 13.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 64 (b) 86 (c) 30 (d) 38
  14. 14.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 15 (b) 36 (c) 33 (d) 45
  15. 15.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 69 (b) 54 (c) 49 (d) 25
  16. 16.What is the average of 29, 39, 29 and 35? (a) 33 (b) 34 (c) 32 (d) 44
  17. 17.What is the average of 41, 47, 51, 45 and 11? (a) 41 (b) 40 (c) 39 (d) 38
  18. 18.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 69 (b) 35 (c) 5 (d) 39
  19. 19.What is the average of all the whole numbers from 47 to 53? (a) 50 (b) 3 (c) 6 (d) 51
  20. 20.What is the average of all the whole numbers from 11 to 43? (a) 16 (b) 27 (c) 32 (d) 28
  21. 21.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 48 (c) 84 (d) 85
  22. 22.What is the average of all the whole numbers from 11 to 33? (a) 11 (b) 23 (c) 21 (d) 22
  23. 23.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 12 (c) 52 (d) 43
  24. 24.What is the average of 43, 51, 47, 58 and 66? (a) 55 (b) 54 (c) 52 (d) 53
  25. 25.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 69 (c) 16 (d) 57
  26. 26.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 56 (c) 10 (d) 50
  27. 27.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 2 (b) 62 (c) 1 (d) 29
  28. 28.What is the average of all the whole numbers from 16 to 56? (a) 20 (b) 40 (c) 37 (d) 36
  29. 29.What is the average of all the whole numbers from 17 to 25? (a) 21 (b) 8 (c) 22 (d) 4
  30. 30.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 46 (b) 31 (c) 18 (d) 59
  31. 31.What is the average of all the whole numbers from 30 to 42? (a) 12 (b) 37 (c) 36 (d) 6
  32. 32.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 11 (c) 12 (d) 19
  33. 33.What is the average of 49, 67, 40 and 56? (a) 55 (b) 52 (c) 54 (d) 53
  34. 34.A batter has an average of 46 runs in 5 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 24 (c) 54 (d) 70
  35. 35.What is the average of all the whole numbers from 60 to 68? (a) 64 (b) 65 (c) 4 (d) 8
  36. 36.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 3 (b) 50 (c) 23 (d) 4
  37. 37.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 70 (c) 50 (d) 110
  38. 38.What is the average of 50, 52, 54 and 20? (a) 43 (b) 44 (c) 45 (d) 46
  39. 39.What is the average of 35, 46, 29, 32, 39 and 83? (a) 46 (b) 43 (c) 45 (d) 44
  40. 40.What is the average of 56, 57, 61, 65 and 51? (a) 59 (b) 58 (c) 57 (d) 60

Answer key

  1. 65
  2. 17
  3. 65
  4. 31
  5. 60
  6. 52
  7. 104
  8. 16
  9. 26
  10. 26
  11. 43
  12. 17
  13. 86
  14. 45
  15. 69
  16. 33
  17. 39
  18. 39
  19. 50
  20. 27
  21. 84
  22. 22
  23. 52
  24. 53
  25. 69
  26. 56
  27. 1
  28. 36
  29. 21
  30. 46
  31. 36
  32. 11
  33. 53
  34. 70
  35. 64
  36. 3
  37. 110
  38. 44
  39. 44
  40. 58

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