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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 908 · 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.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 3 (b) 45 (c) 4 (d) 21
  2. 2.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 6 (b) 42 (c) 83 (d) 47
  3. 3.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 55 (b) 53 (c) 10 (d) 61
  4. 4.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 28 (b) 32 (c) 42 (d) 18
  5. 5.What is the average of all the whole numbers from 6 to 16? (a) 5 (b) 11 (c) 10 (d) 12
  6. 6.What is the average of 7, 12, 24 and 45? (a) 21 (b) 23 (c) 24 (d) 22
  7. 7.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 41 (b) 36 (c) 35 (d) 83
  8. 8.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 87 (b) 45 (c) 56 (d) 38
  9. 9.What is the average of all the whole numbers from 27 to 37? (a) 33 (b) 5 (c) 10 (d) 32
  10. 10.What is the average of 70, 70, 71 and 45? (a) 66 (b) 63 (c) 64 (d) 65
  11. 11.What is the average of 63, 69, 45, 49, 74 and 60? (a) 59 (b) 60 (c) 72 (d) 61
  12. 12.What is the average of all the whole numbers from 24 to 46? (a) 22 (b) 36 (c) 11 (d) 35
  13. 13.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 32 (b) 39 (c) 55 (d) 31
  14. 14.What is the average of all the whole numbers from 18 to 54? (a) 18 (b) 36 (c) 35 (d) 37
  15. 15.What is the average of 43, 40, 43 and 74? (a) 51 (b) 49 (c) 50 (d) 52
  16. 16.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 19 (b) 15 (c) 10 (d) 6
  17. 17.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 20 (b) 29 (c) 34 (d) 44
  18. 18.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 43 (b) 91 (c) 13 (d) 14
  19. 19.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 47 (b) 51 (c) 45 (d) 8
  20. 20.What is the average of all the whole numbers from 16 to 42? (a) 26 (b) 13 (c) 30 (d) 29
  21. 21.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 80 (c) 35 (d) 95
  22. 22.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 35 (b) 26 (c) 72 (d) 25
  23. 23.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 43 (b) 5 (c) 47 (d) 85
  24. 24.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 60 (b) 20 (c) 85 (d) 45
  25. 25.What is the average of all the whole numbers from 22 to 60? (a) 41 (b) 42 (c) 19 (d) 38
  26. 26.What is the average of 61, 54, 53, 59, 42 and 67? (a) 57 (b) 55 (c) 56 (d) 58
  27. 27.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 43? (a) 70 (b) 43 (c) 50 (d) 106
  28. 28.What is the average of all the whole numbers from 24 to 56? (a) 32 (b) 41 (c) 40 (d) 16
  29. 29.What is the average of 41, 31, 37 and 43? (a) 39 (b) 38 (c) 40 (d) 37
  30. 30.What is the average of all the whole numbers from 34 to 54? (a) 44 (b) 20 (c) 45 (d) 10
  31. 31.What is the average of 42, 55, 31, 31 and 61? (a) 43 (b) 55 (c) 44 (d) 45
  32. 32.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 42 (b) 54 (c) 28 (d) 16
  33. 33.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 59 (b) 41 (c) 43 (d) 20
  34. 34.What is the average of 47, 32, 47, 45 and 44? (a) 43 (b) 44 (c) 42 (d) 45
  35. 35.What is the average of 64, 69, 52, 48, 54 and 61? (a) 58 (b) 57 (c) 59 (d) 60
  36. 36.What is the average of 84, 83, 77, 69 and 87? (a) 100 (b) 80 (c) 81 (d) 79
  37. 37.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 20 (b) 75 (c) 21 (d) 35
  38. 38.A batter has an average of 43 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 51 (b) 32 (c) 47 (d) 75
  39. 39.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 49 (c) 73 (d) 38
  40. 40.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 28 (b) 49 (c) 25 (d) 27

Answer key

  1. 3
  2. 47
  3. 61
  4. 42
  5. 11
  6. 22
  7. 35
  8. 87
  9. 32
  10. 64
  11. 60
  12. 35
  13. 55
  14. 36
  15. 50
  16. 15
  17. 44
  18. 13
  19. 51
  20. 29
  21. 80
  22. 25
  23. 47
  24. 60
  25. 41
  26. 56
  27. 106
  28. 40
  29. 38
  30. 44
  31. 44
  32. 42
  33. 59
  34. 43
  35. 58
  36. 80
  37. 20
  38. 75
  39. 73
  40. 49

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