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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 640 · 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 49, 59, 66, 54, 68 and 64? (a) 59 (b) 61 (c) 72 (d) 60
  2. 2.What is the average of all the whole numbers from 24 to 46? (a) 11 (b) 36 (c) 22 (d) 35
  3. 3.What is the average of 65, 47, 37, 62 and 39? (a) 52 (b) 49 (c) 51 (d) 50
  4. 4.What is the average of 17, 20, 17, 28 and 48? (a) 28 (b) 25 (c) 27 (d) 26
  5. 5.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 28 (b) 43 (c) 90 (d) 27
  6. 6.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 4 (b) 28 (c) 49 (d) 25
  7. 7.What is the average of all the whole numbers from 47 to 57? (a) 53 (b) 5 (c) 52 (d) 10
  8. 8.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) 72 (b) 16 (c) 50 (d) 38
  9. 9.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 15 (b) 19 (c) 16 (d) 39
  10. 10.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 50 (b) 35 (c) 18 (d) 67
  11. 11.What is the average of all the whole numbers from 23 to 51? (a) 37 (b) 14 (c) 38 (d) 28
  12. 12.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 27? (a) 29 (b) 35 (c) 10 (d) 27
  13. 13.What is the average of 34, 43, 32, 33, 21 and 53? (a) 36 (b) 35 (c) 37 (d) 38
  14. 14.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 28 (b) 16 (c) 32 (d) 44
  15. 15.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 56 (b) 44 (c) 24 (d) 38
  16. 16.What is the average of 35, 39, 29, 44, 46 and 65? (a) 44 (b) 45 (c) 43 (d) 42
  17. 17.What is the average of all the whole numbers from 20 to 60? (a) 20 (b) 41 (c) 40 (d) 39
  18. 18.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 90 (b) 55 (c) 60 (d) 40
  19. 19.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 40 (c) 72 (d) 73
  20. 20.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 20 (b) 58 (c) 68 (d) 53
  21. 21.What is the average of 42, 57, 53 and 64? (a) 54 (b) 72 (c) 55 (d) 53
  22. 22.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 102 (b) 50 (c) 42 (d) 43
  23. 23.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 78 (b) 54 (c) 46 (d) 40
  24. 24.What is the average of all the whole numbers from 16 to 54? (a) 38 (b) 19 (c) 36 (d) 35
  25. 25.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 18 (b) 63 (c) 48 (d) 51
  26. 26.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 18 (b) 42 (c) 51 (d) 27
  27. 27.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 33 (b) 24 (c) 63 (d) 54
  28. 28.What is the average of 80, 70, 73, 82, 68 and 41? (a) 71 (b) 68 (c) 69 (d) 70
  29. 29.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 64 (b) 15 (c) 14 (d) 30
  30. 30.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 74 (b) 39 (c) 34 (d) 45
  31. 31.What is the average of all the whole numbers from 50 to 62? (a) 56 (b) 12 (c) 6 (d) 57
  32. 32.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 73 (b) 65 (c) 113 (d) 56
  33. 33.What is the average of all the whole numbers from 28 to 68? (a) 20 (b) 49 (c) 40 (d) 48
  34. 34.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 21 (b) 42 (c) 60 (d) 45
  35. 35.What is the average of all the whole numbers from 16 to 56? (a) 36 (b) 40 (c) 20 (d) 37
  36. 36.What is the average of all the whole numbers from 36 to 60? (a) 48 (b) 49 (c) 24 (d) 12
  37. 37.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 79 (b) 21 (c) 38 (d) 20
  38. 38.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 30 (b) 16 (c) 17 (d) 62
  39. 39.What is the average of 46, 20, 26, 24, 47 and 29? (a) 33 (b) 34 (c) 31 (d) 32
  40. 40.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 8 (c) 57 (d) 61

Answer key

  1. 60
  2. 35
  3. 50
  4. 26
  5. 27
  6. 28
  7. 52
  8. 50
  9. 15
  10. 50
  11. 37
  12. 35
  13. 36
  14. 44
  15. 56
  16. 43
  17. 40
  18. 90
  19. 72
  20. 68
  21. 54
  22. 42
  23. 78
  24. 35
  25. 63
  26. 42
  27. 54
  28. 69
  29. 14
  30. 74
  31. 56
  32. 113
  33. 48
  34. 60
  35. 36
  36. 48
  37. 20
  38. 16
  39. 32
  40. 61

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