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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 287 · 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 24 to 60? (a) 43 (b) 18 (c) 36 (d) 42
  2. 2.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 8 (b) 40 (c) 66 (d) 34
  3. 3.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 47 (b) 42 (c) 75 (d) 40
  4. 4.What is the average of all the whole numbers from 35 to 55? (a) 46 (b) 10 (c) 45 (d) 20
  5. 5.What is the average of all the whole numbers from 28 to 66? (a) 48 (b) 19 (c) 47 (d) 38
  6. 6.What is the average of 19, 48, 27, 44, 26 and 34? (a) 32 (b) 34 (c) 35 (d) 33
  7. 7.What is the average of 53, 70, 72, 72 and 33? (a) 75 (b) 61 (c) 60 (d) 59
  8. 8.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 54 (b) 38 (c) 28 (d) 12
  9. 9.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 71 (c) 28 (d) 85
  10. 10.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 29 (b) 77 (c) 37 (d) 28
  11. 11.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 13 (b) 20 (c) 29 (d) 22
  12. 12.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 55 (b) 47 (c) 32 (d) 71
  13. 13.What is the average of 21, 37, 44, 38 and 30? (a) 35 (b) 33 (c) 36 (d) 34
  14. 14.What is the average of all the whole numbers from 11 to 49? (a) 38 (b) 30 (c) 31 (d) 19
  15. 15.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 40 (b) 36 (c) 81 (d) 37
  16. 16.What is the average of 54, 58, 61, 57 and 110? (a) 68 (b) 67 (c) 85 (d) 69
  17. 17.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 3 (b) 2 (c) 48 (d) 22
  18. 18.What is the average of 59, 50, 73 and 74? (a) 66 (b) 63 (c) 65 (d) 64
  19. 19.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 50 (b) 45 (c) 25 (d) 30
  20. 20.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 30 (c) 33 (d) 51
  21. 21.What is the average of 25, 7, 8, 36 and 34? (a) 24 (b) 23 (c) 21 (d) 22
  22. 22.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 31 (c) 16 (d) 43
  23. 23.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 40 (b) 16 (c) 28 (d) 26
  24. 24.What is the average of 53, 35, 52, 41, 59 and 48? (a) 49 (b) 48 (c) 47 (d) 50
  25. 25.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 102 (b) 49 (c) 26 (d) 25
  26. 26.What is the average of 69, 78, 62 and 83? (a) 75 (b) 72 (c) 73 (d) 74
  27. 27.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 30 (b) 31 (c) 87 (d) 42
  28. 28.What is the average of 89, 67, 75 and 85? (a) 80 (b) 79 (c) 81 (d) 78
  29. 29.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 16 (b) 23 (c) 15 (d) 48
  30. 30.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 45 (b) 35 (c) 75 (d) 40
  31. 31.What is the average of 48, 63, 72, 52 and 60? (a) 58 (b) 61 (c) 60 (d) 59
  32. 32.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 29 (b) 8 (c) 22 (d) 15
  33. 33.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 87 (b) 25 (c) 46 (d) 66
  34. 34.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 76 (b) 75 (c) 45 (d) 40
  35. 35.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 35 (b) 62 (c) 41 (d) 34
  36. 36.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 46 (b) 12 (c) 34 (d) 24
  37. 37.What is the average of all the whole numbers from 22 to 38? (a) 8 (b) 30 (c) 31 (d) 16
  38. 38.What is the average of 35, 33, 52 and 68? (a) 49 (b) 48 (c) 47 (d) 46
  39. 39.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 31? (a) 37 (b) 31 (c) 49 (d) 24
  40. 40.What is the average of all the whole numbers from 5 to 19? (a) 14 (b) 13 (c) 7 (d) 12

Answer key

  1. 42
  2. 40
  3. 75
  4. 45
  5. 47
  6. 33
  7. 60
  8. 38
  9. 85
  10. 28
  11. 29
  12. 71
  13. 34
  14. 30
  15. 36
  16. 68
  17. 2
  18. 64
  19. 50
  20. 51
  21. 22
  22. 43
  23. 40
  24. 48
  25. 25
  26. 73
  27. 30
  28. 79
  29. 15
  30. 75
  31. 59
  32. 22
  33. 66
  34. 75
  35. 62
  36. 34
  37. 30
  38. 47
  39. 49
  40. 12

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