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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 388 · 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 47, 66, 66 and 37? (a) 54 (b) 55 (c) 72 (d) 53
  2. 2.What is the average of 84, 86, 60, 57 and 68? (a) 72 (b) 71 (c) 70 (d) 73
  3. 3.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 70 (b) 96 (c) 50 (d) 24
  4. 4.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 32 (c) 12 (d) 26
  5. 5.What is the average of all the whole numbers from 27 to 63? (a) 46 (b) 36 (c) 18 (d) 45
  6. 6.What is the average of 64, 72, 50, 69 and 70? (a) 65 (b) 64 (c) 66 (d) 67
  7. 7.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 60? (a) 16 (b) 60 (c) 64 (d) 72
  8. 8.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 51 (b) 44 (c) 65 (d) 28
  9. 9.What is the average of all the whole numbers from 60 to 96? (a) 79 (b) 36 (c) 78 (d) 18
  10. 10.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 24 (b) 57 (c) 45 (d) 39
  11. 11.What is the average of 28, 33, 27, 44, 51 and 51? (a) 40 (b) 39 (c) 38 (d) 41
  12. 12.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 97 (c) 62 (d) 45
  13. 13.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 14 (b) 56 (c) 86 (d) 44
  14. 14.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 47 (c) 30 (d) 65
  15. 15.What is the average of all the whole numbers from 43 to 67? (a) 12 (b) 56 (c) 55 (d) 24
  16. 16.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 88 (b) 62 (c) 46 (d) 20
  17. 17.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 69 (b) 125 (c) 72 (d) 61
  18. 18.What is the average of 65, 72, 61, 67, 88 and 103? (a) 76 (b) 77 (c) 75 (d) 78
  19. 19.What is the average of all the whole numbers from 25 to 45? (a) 20 (b) 10 (c) 36 (d) 35
  20. 20.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 17 (b) 46 (c) 16 (d) 22
  21. 21.What is the average of all the whole numbers from 22 to 50? (a) 36 (b) 37 (c) 28 (d) 14
  22. 22.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 24 (b) 18 (c) 33 (d) 39
  23. 23.What is the average of 16, 11, 21 and 48? (a) 23 (b) 25 (c) 32 (d) 24
  24. 24.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 50 (b) 25 (c) 15 (d) 40
  25. 25.What is the average of all the whole numbers from 18 to 34? (a) 16 (b) 26 (c) 8 (d) 27
  26. 26.What is the average of all the whole numbers from 52 to 64? (a) 58 (b) 59 (c) 12 (d) 6
  27. 27.What is the average of all the whole numbers from 8 to 44? (a) 18 (b) 26 (c) 27 (d) 36
  28. 28.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 32 (b) 61 (c) 18 (d) 47
  29. 29.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 57 (b) 27 (c) 7 (d) 6
  30. 30.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 54 (c) 38 (d) 80
  31. 31.What is the average of all the whole numbers from 45 to 73? (a) 60 (b) 28 (c) 59 (d) 14
  32. 32.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 49 (c) 14 (d) 72
  33. 33.What is the average of all the whole numbers from 7 to 31? (a) 19 (b) 24 (c) 12 (d) 20
  34. 34.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 25 (b) 48 (c) 31 (d) 8
  35. 35.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 31? (a) 55 (b) 31 (c) 30 (d) 37
  36. 36.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 15 (b) 25 (c) 14 (d) 26
  37. 37.What is the average of 27, 17, 36 and 24? (a) 25 (b) 26 (c) 28 (d) 27
  38. 38.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 34 (b) 30 (c) 63 (d) 59
  39. 39.What is the average of all the whole numbers from 10 to 16? (a) 13 (b) 14 (c) 6 (d) 3
  40. 40.The average of 8 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 23 (b) 8 (c) 30 (d) 45

Answer key

  1. 54
  2. 71
  3. 70
  4. 32
  5. 45
  6. 65
  7. 72
  8. 65
  9. 78
  10. 57
  11. 39
  12. 97
  13. 56
  14. 65
  15. 55
  16. 62
  17. 125
  18. 76
  19. 35
  20. 16
  21. 36
  22. 39
  23. 24
  24. 50
  25. 26
  26. 58
  27. 26
  28. 47
  29. 6
  30. 80
  31. 59
  32. 49
  33. 19
  34. 31
  35. 55
  36. 26
  37. 26
  38. 59
  39. 13
  40. 30

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