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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 679 · 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 38, 37, 22, 27, 26 and 60? (a) 42 (b) 35 (c) 34 (d) 36
  2. 2.What is the average of all the whole numbers from 50 to 60? (a) 10 (b) 56 (c) 5 (d) 55
  3. 3.What is the average of all the whole numbers from 5 to 27? (a) 22 (b) 16 (c) 11 (d) 17
  4. 4.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 39 (b) 36 (c) 37 (d) 79
  5. 5.The average of 6 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 19 (b) 20 (c) 60 (d) 29
  6. 6.What is the average of all the whole numbers from 10 to 42? (a) 27 (b) 26 (c) 16 (d) 32
  7. 7.What is the average of 67, 47, 53 and 81? (a) 64 (b) 63 (c) 61 (d) 62
  8. 8.What is the average of all the whole numbers from 8 to 42? (a) 17 (b) 26 (c) 25 (d) 34
  9. 9.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 48 (b) 39 (c) 75 (d) 12
  10. 10.What is the average of 71, 48, 67 and 54? (a) 61 (b) 80 (c) 59 (d) 60
  11. 11.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 65 (b) 33 (c) 4 (d) 36
  12. 12.What is the average of 27, 9, 13, 25, 13 and 33? (a) 21 (b) 20 (c) 24 (d) 19
  13. 13.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 20 (b) 49 (c) 93 (d) 64
  14. 14.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 51 (b) 21 (c) 25 (d) 22
  15. 15.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 39 (b) 32 (c) 60 (d) 35
  16. 16.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 15 (c) 29 (d) 38
  17. 17.A batter has an average of 59 runs in 7 matches. How many runs are needed in the next match to raise the average to 66? (a) 73 (b) 66 (c) 115 (d) 56
  18. 18.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) 23 (b) 20 (c) 29 (d) 14
  19. 19.What is the average of 23, 41, 43 and 29? (a) 36 (b) 33 (c) 34 (d) 35
  20. 20.What is the average of 29, 42, 36 and 37? (a) 48 (b) 36 (c) 37 (d) 35
  21. 21.What is the average of 11, 23, 12, 32 and 42? (a) 30 (b) 25 (c) 23 (d) 24
  22. 22.What is the average of 53, 51, 30, 36, 37 and 63? (a) 54 (b) 45 (c) 44 (d) 46
  23. 23.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 33? (a) 42 (b) 36 (c) 33 (d) 12
  24. 24.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 96 (c) 72 (d) 36
  25. 25.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 55 (b) 83 (c) 51 (d) 36
  26. 26.What is the average of all the whole numbers from 11 to 41? (a) 27 (b) 26 (c) 15 (d) 30
  27. 27.What is the average of all the whole numbers from 11 to 47? (a) 30 (b) 18 (c) 29 (d) 36
  28. 28.What is the average of 47, 59, 33 and 45? (a) 47 (b) 45 (c) 46 (d) 48
  29. 29.What is the average of all the whole numbers from 49 to 55? (a) 6 (b) 52 (c) 3 (d) 53
  30. 30.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 98 (c) 58 (d) 50
  31. 31.What is the average of 48, 47, 47 and 2? (a) 35 (b) 37 (c) 36 (d) 48
  32. 32.A batter has an average of 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 50 (b) 36 (c) 16 (d) 38
  33. 33.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 38 (b) 63 (c) 87 (d) 31
  34. 34.What is the average of 52, 47, 74, 60, 58 and 63? (a) 59 (b) 58 (c) 61 (d) 60
  35. 35.What is the average of all the whole numbers from 57 to 75? (a) 67 (b) 9 (c) 66 (d) 18
  36. 36.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 45 (b) 40 (c) 37 (d) 69
  37. 37.What is the average of 37, 22, 16, 19, 27 and 65? (a) 30 (b) 33 (c) 32 (d) 31
  38. 38.What is the average of 75, 46, 52 and 67? (a) 80 (b) 59 (c) 60 (d) 61
  39. 39.What is the average of 42, 66, 59, 47, 65 and 33? (a) 53 (b) 54 (c) 52 (d) 51
  40. 40.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 14 (b) 4 (c) 17 (d) 27

Answer key

  1. 35
  2. 55
  3. 16
  4. 36
  5. 19
  6. 26
  7. 62
  8. 25
  9. 48
  10. 60
  11. 36
  12. 20
  13. 64
  14. 21
  15. 60
  16. 38
  17. 115
  18. 29
  19. 34
  20. 36
  21. 24
  22. 45
  23. 42
  24. 96
  25. 83
  26. 26
  27. 29
  28. 46
  29. 52
  30. 98
  31. 36
  32. 50
  33. 87
  34. 59
  35. 66
  36. 69
  37. 31
  38. 60
  39. 52
  40. 17

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