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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 847 · 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.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 24? (a) 18 (b) 27 (c) 39 (d) 24
  2. 2.What is the average of 24, 28, 22 and 18? (a) 22 (b) 25 (c) 24 (d) 23
  3. 3.What is the average of 48, 68, 43 and 65? (a) 55 (b) 57 (c) 56 (d) 58
  4. 4.What is the average of all the whole numbers from 50 to 90? (a) 40 (b) 71 (c) 20 (d) 70
  5. 5.What is the average of all the whole numbers from 60 to 66? (a) 6 (b) 3 (c) 64 (d) 63
  6. 6.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 77 (b) 30 (c) 52 (d) 57
  7. 7.What is the average of all the whole numbers from 7 to 13? (a) 3 (b) 11 (c) 6 (d) 10
  8. 8.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 28 (c) 82 (d) 68
  9. 9.What is the average of 64, 73, 63, 60 and 90? (a) 69 (b) 70 (c) 71 (d) 72
  10. 10.What is the average of all the whole numbers from 8 to 22? (a) 7 (b) 16 (c) 14 (d) 15
  11. 11.What is the average of 33, 40, 27, 46, 29 and 77? (a) 44 (b) 42 (c) 43 (d) 41
  12. 12.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 48 (b) 56 (c) 50 (d) 92
  13. 13.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 90 (b) 34 (c) 27 (d) 70
  14. 14.What is the average of 26, 31, 45, 31 and 32? (a) 32 (b) 33 (c) 34 (d) 35
  15. 15.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 50 (b) 74 (c) 96 (d) 28
  16. 16.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 105 (b) 50 (c) 26 (d) 25
  17. 17.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 21 (c) 32 (d) 47
  18. 18.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 23? (a) 24 (b) 44 (c) 23 (d) 26
  19. 19.What is the average of all the whole numbers from 9 to 23? (a) 17 (b) 7 (c) 16 (d) 14
  20. 20.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 42 (b) 39 (c) 85 (d) 40
  21. 21.What is the average of all the whole numbers from 45 to 73? (a) 60 (b) 59 (c) 28 (d) 14
  22. 22.What is the average of all the whole numbers from 44 to 66? (a) 11 (b) 55 (c) 56 (d) 22
  23. 23.What is the average of all the whole numbers from 12 to 22? (a) 10 (b) 5 (c) 18 (d) 17
  24. 24.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 43 (b) 83 (c) 64 (d) 24
  25. 25.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 47 (b) 91 (c) 21 (d) 65
  26. 26.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 27 (b) 20 (c) 8 (d) 39
  27. 27.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 56? (a) 59 (b) 56 (c) 65 (d) 12
  28. 28.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 16 (c) 56 (d) 42
  29. 29.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 43 (b) 71 (c) 8 (d) 36
  30. 30.What is the average of all the whole numbers from 5 to 31? (a) 26 (b) 19 (c) 18 (d) 13
  31. 31.What is the average of 17, 33, 34, 16 and 15? (a) 22 (b) 25 (c) 24 (d) 23
  32. 32.What is the average of 89, 69, 65, 78 and 74? (a) 77 (b) 76 (c) 74 (d) 75
  33. 33.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 29 (b) 22 (c) 8 (d) 43
  34. 34.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 45 (b) 6 (c) 7 (d) 21
  35. 35.What is the average of 59, 74, 73, 54, 54 and 100? (a) 69 (b) 68 (c) 70 (d) 71
  36. 36.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 12 (b) 21 (c) 39 (d) 30
  37. 37.What is the average of 62, 71, 63 and 52? (a) 64 (b) 61 (c) 62 (d) 63
  38. 38.What is the average of all the whole numbers from 52 to 78? (a) 66 (b) 26 (c) 13 (d) 65
  39. 39.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 7 (b) 6 (c) 67 (d) 31
  40. 40.What is the average of 20, 35, 25, 44, 22 and 46? (a) 34 (b) 33 (c) 32 (d) 31

Answer key

  1. 39
  2. 23
  3. 56
  4. 70
  5. 63
  6. 77
  7. 10
  8. 82
  9. 70
  10. 15
  11. 42
  12. 92
  13. 90
  14. 33
  15. 74
  16. 25
  17. 47
  18. 44
  19. 16
  20. 39
  21. 59
  22. 55
  23. 17
  24. 64
  25. 65
  26. 27
  27. 65
  28. 42
  29. 43
  30. 18
  31. 23
  32. 75
  33. 29
  34. 6
  35. 69
  36. 30
  37. 62
  38. 65
  39. 6
  40. 32

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