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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 127 · 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 19 to 39? (a) 30 (b) 10 (c) 20 (d) 29
  2. 2.What is the average of 38, 23, 33 and 18? (a) 30 (b) 27 (c) 28 (d) 29
  3. 3.What is the average of 49, 69, 55 and 75? (a) 61 (b) 63 (c) 62 (d) 64
  4. 4.What is the average of all the whole numbers from 35 to 49? (a) 14 (b) 42 (c) 7 (d) 43
  5. 5.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 33 (b) 68 (c) 26 (d) 25
  6. 6.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 23 (b) 15 (c) 12 (d) 4
  7. 7.What is the average of 39, 23, 29 and 45? (a) 36 (b) 35 (c) 34 (d) 33
  8. 8.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 50 (b) 42 (c) 16 (d) 38
  9. 9.A batter has an average of 52 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 92 (b) 56 (c) 60 (d) 40
  10. 10.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 30 (b) 38 (c) 32 (d) 56
  11. 11.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 46 (b) 8 (c) 91 (d) 53
  12. 12.What is the average of 41, 36, 45, 16, 20 and 22? (a) 31 (b) 29 (c) 36 (d) 30
  13. 13.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 27? (a) 51 (b) 28 (c) 27 (d) 31
  14. 14.What is the average of 47, 31, 19, 36, 47 and 24? (a) 36 (b) 35 (c) 33 (d) 34
  15. 15.What is the average of 31, 42, 29 and 62? (a) 42 (b) 41 (c) 40 (d) 43
  16. 16.What is the average of 27, 11, 20, 15, 21 and 50? (a) 26 (b) 25 (c) 24 (d) 23
  17. 17.What is the average of all the whole numbers from 20 to 28? (a) 4 (b) 25 (c) 8 (d) 24
  18. 18.What is the average of 47, 43, 39 and 83? (a) 52 (b) 54 (c) 53 (d) 55
  19. 19.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 44 (b) 9 (c) 20 (d) 8
  20. 20.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 2 (b) 26 (c) 57 (d) 1
  21. 21.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 38 (b) 36 (c) 77 (d) 35
  22. 22.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 48 (b) 66 (c) 24 (d) 45
  23. 23.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 31 (b) 63 (c) 25 (d) 26
  24. 24.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 35? (a) 36 (b) 35 (c) 41 (d) 65
  25. 25.What is the average of 70, 67, 57, 66 and 50? (a) 63 (b) 61 (c) 64 (d) 62
  26. 26.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 34 (b) 72 (c) 15 (d) 14
  27. 27.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 27 (b) 7 (c) 6 (d) 13
  28. 28.What is the average of 52, 47, 54, 40 and 47? (a) 48 (b) 47 (c) 49 (d) 60
  29. 29.What is the average of all the whole numbers from 48 to 60? (a) 55 (b) 6 (c) 12 (d) 54
  30. 30.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 29 (b) 23 (c) 20 (d) 14
  31. 31.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 27? (a) 27 (b) 29 (c) 33 (d) 8
  32. 32.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 35 (c) 84 (d) 63
  33. 33.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 57 (b) 26 (c) 28 (d) 25
  34. 34.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 51 (b) 43 (c) 16 (d) 39
  35. 35.What is the average of 34, 39, 48, 45, 44 and 24? (a) 39 (b) 41 (c) 40 (d) 38
  36. 36.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 48 (b) 84 (c) 44 (d) 52
  37. 37.What is the average of all the whole numbers from 9 to 15? (a) 6 (b) 3 (c) 12 (d) 13
  38. 38.What is the average of all the whole numbers from 30 to 36? (a) 3 (b) 6 (c) 33 (d) 34
  39. 39.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 62 (c) 32 (d) 38
  40. 40.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 53 (c) 54 (d) 95

Answer key

  1. 29
  2. 28
  3. 62
  4. 42
  5. 25
  6. 15
  7. 34
  8. 50
  9. 92
  10. 56
  11. 53
  12. 30
  13. 51
  14. 34
  15. 41
  16. 24
  17. 24
  18. 53
  19. 8
  20. 1
  21. 35
  22. 66
  23. 25
  24. 65
  25. 62
  26. 14
  27. 6
  28. 48
  29. 54
  30. 29
  31. 33
  32. 84
  33. 25
  34. 51
  35. 39
  36. 84
  37. 12
  38. 33
  39. 62
  40. 95

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