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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 482 · 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 34, 37, 30, 43, 28 and 32? (a) 33 (b) 35 (c) 36 (d) 34
  2. 2.What is the average of 63, 41, 67, 62 and 27? (a) 53 (b) 51 (c) 65 (d) 52
  3. 3.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 28 (c) 59 (d) 73
  4. 4.What is the average of 19, 33, 44 and 28? (a) 31 (b) 33 (c) 32 (d) 30
  5. 5.What is the average of 64, 53, 42, 58, 38 and 45? (a) 49 (b) 60 (c) 50 (d) 51
  6. 6.What is the average of all the whole numbers from 12 to 40? (a) 14 (b) 26 (c) 27 (d) 28
  7. 7.What is the average of 86, 72, 63, 77 and 62? (a) 73 (b) 72 (c) 90 (d) 71
  8. 8.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 53 (b) 33 (c) 30 (d) 28
  9. 9.What is the average of 51, 75, 74, 66 and 49? (a) 63 (b) 65 (c) 62 (d) 64
  10. 10.What is the average of all the whole numbers from 48 to 72? (a) 24 (b) 60 (c) 61 (d) 12
  11. 11.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 22 (b) 23 (c) 29 (d) 59
  12. 12.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 28 (b) 10 (c) 34 (d) 26
  13. 13.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 38 (b) 103 (c) 39 (d) 50
  14. 14.What is the average of all the whole numbers from 38 to 46? (a) 43 (b) 4 (c) 42 (d) 8
  15. 15.What is the average of all the whole numbers from 26 to 36? (a) 31 (b) 32 (c) 10 (d) 5
  16. 16.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 82 (b) 39 (c) 12 (d) 11
  17. 17.What is the average of 16, 34, 24 and 34? (a) 36 (b) 28 (c) 26 (d) 27
  18. 18.What is the average of all the whole numbers from 15 to 47? (a) 16 (b) 32 (c) 30 (d) 31
  19. 19.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 38 (b) 85 (c) 37 (d) 42
  20. 20.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 30 (b) 50 (c) 26 (d) 28
  21. 21.What is the average of all the whole numbers from 29 to 43? (a) 7 (b) 37 (c) 36 (d) 14
  22. 22.What is the average of all the whole numbers from 5 to 21? (a) 8 (b) 14 (c) 16 (d) 13
  23. 23.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 65 (b) 40 (c) 61 (d) 97
  24. 24.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 38 (c) 34 (d) 16
  25. 25.What is the average of all the whole numbers from 42 to 82? (a) 20 (b) 63 (c) 40 (d) 62
  26. 26.What is the average of 43, 34, 47 and 44? (a) 42 (b) 41 (c) 43 (d) 56
  27. 27.What is the average of 31, 29, 14 and 18? (a) 22 (b) 25 (c) 23 (d) 24
  28. 28.What is the average of 86, 66, 79, 60 and 69? (a) 72 (b) 90 (c) 73 (d) 71
  29. 29.What is the average of all the whole numbers from 16 to 46? (a) 32 (b) 15 (c) 30 (d) 31
  30. 30.What is the average of 31, 27, 38 and 68? (a) 41 (b) 43 (c) 40 (d) 42
  31. 31.What is the average of all the whole numbers from 6 to 26? (a) 20 (b) 16 (c) 10 (d) 17
  32. 32.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 52 (b) 25 (c) 28 (d) 30
  33. 33.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 47 (b) 87 (c) 42 (d) 50
  34. 34.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 21 (b) 43 (c) 17 (d) 18
  35. 35.What is the average of all the whole numbers from 38 to 52? (a) 46 (b) 14 (c) 7 (d) 45
  36. 36.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 35 (c) 95 (d) 70
  37. 37.What is the average of all the whole numbers from 42 to 52? (a) 5 (b) 48 (c) 10 (d) 47
  38. 38.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 38 (b) 50 (c) 72 (d) 16
  39. 39.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 16 (b) 25 (c) 27 (d) 36
  40. 40.What is the average of 61, 38, 37 and 60? (a) 50 (b) 51 (c) 48 (d) 49

Answer key

  1. 34
  2. 52
  3. 73
  4. 31
  5. 50
  6. 26
  7. 72
  8. 53
  9. 63
  10. 60
  11. 22
  12. 34
  13. 38
  14. 42
  15. 31
  16. 11
  17. 27
  18. 31
  19. 37
  20. 50
  21. 36
  22. 13
  23. 97
  24. 34
  25. 62
  26. 42
  27. 23
  28. 72
  29. 31
  30. 41
  31. 16
  32. 52
  33. 87
  34. 17
  35. 45
  36. 95
  37. 47
  38. 50
  39. 36
  40. 49

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