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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 891 · 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 60, 45, 67 and 56? (a) 58 (b) 76 (c) 57 (d) 56
  2. 2.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 24 (c) 61 (d) 73
  3. 3.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 18 (c) 17 (d) 41
  4. 4.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 48? (a) 48 (b) 53 (c) 20 (d) 63
  5. 5.What is the average of all the whole numbers from 30 to 58? (a) 28 (b) 45 (c) 14 (d) 44
  6. 6.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 51 (c) 32 (d) 67
  7. 7.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 12 (b) 40 (c) 13 (d) 84
  8. 8.What is the average of all the whole numbers from 41 to 51? (a) 5 (b) 46 (c) 47 (d) 10
  9. 9.What is the average of 38, 36, 58 and 56? (a) 49 (b) 46 (c) 47 (d) 48
  10. 10.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 22 (b) 10 (c) 48 (d) 11
  11. 11.What is the average of all the whole numbers from 19 to 43? (a) 31 (b) 24 (c) 12 (d) 32
  12. 12.What is the average of 87, 61, 86, 66 and 80? (a) 95 (b) 77 (c) 75 (d) 76
  13. 13.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 58? (a) 85 (b) 61 (c) 30 (d) 58
  14. 14.What is the average of 46, 65, 46, 42 and 56? (a) 51 (b) 52 (c) 50 (d) 53
  15. 15.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 16 (b) 61 (c) 49 (d) 47
  16. 16.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 72 (b) 49 (c) 105 (d) 41
  17. 17.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 5 (b) 34 (c) 16 (d) 4
  18. 18.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 75 (b) 12 (c) 48 (d) 39
  19. 19.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 56 (c) 24 (d) 40
  20. 20.What is the average of all the whole numbers from 15 to 31? (a) 24 (b) 16 (c) 23 (d) 8
  21. 21.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 29? (a) 29 (b) 37 (c) 10 (d) 31
  22. 22.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 22 (b) 2 (c) 3 (d) 49
  23. 23.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 12 (b) 11 (c) 67 (d) 31
  24. 24.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 18 (b) 10 (c) 25 (d) 17
  25. 25.What is the average of 65, 81, 88 and 58? (a) 75 (b) 72 (c) 74 (d) 73
  26. 26.What is the average of all the whole numbers from 50 to 62? (a) 57 (b) 6 (c) 56 (d) 12
  27. 27.What is the average of 47, 29, 24 and 48? (a) 38 (b) 39 (c) 37 (d) 36
  28. 28.What is the average of all the whole numbers from 51 to 87? (a) 18 (b) 70 (c) 36 (d) 69
  29. 29.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 64 (c) 35 (d) 89
  30. 30.What is the average of 61, 67, 46, 68, 73 and 39? (a) 58 (b) 61 (c) 59 (d) 60
  31. 31.What is the average of 13, 12, 20, 16 and 39? (a) 19 (b) 21 (c) 20 (d) 25
  32. 32.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 59 (b) 51 (c) 123 (d) 80
  33. 33.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 40 (b) 60 (c) 25 (d) 75
  34. 34.What is the average of all the whole numbers from 9 to 41? (a) 25 (b) 16 (c) 32 (d) 26
  35. 35.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 21 (c) 27 (d) 20
  36. 36.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) 16 (b) 42 (c) 56 (d) 30
  37. 37.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 97 (b) 52 (c) 4 (d) 49
  38. 38.What is the average of all the whole numbers from 23 to 35? (a) 12 (b) 30 (c) 6 (d) 29
  39. 39.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 21 (c) 55 (d) 40
  40. 40.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 33 (b) 27 (c) 21 (d) 15

Answer key

  1. 57
  2. 73
  3. 17
  4. 63
  5. 44
  6. 67
  7. 12
  8. 46
  9. 47
  10. 10
  11. 31
  12. 76
  13. 85
  14. 51
  15. 61
  16. 105
  17. 4
  18. 48
  19. 56
  20. 23
  21. 37
  22. 2
  23. 11
  24. 25
  25. 73
  26. 56
  27. 37
  28. 69
  29. 89
  30. 59
  31. 20
  32. 123
  33. 60
  34. 25
  35. 20
  36. 42
  37. 52
  38. 29
  39. 55
  40. 33

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