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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 621 · 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 20 to 44? (a) 33 (b) 12 (c) 32 (d) 24
  2. 2.What is the average of 20, 17, 32 and 27? (a) 25 (b) 24 (c) 32 (d) 23
  3. 3.What is the average of 52, 65, 69 and 38? (a) 57 (b) 55 (c) 58 (d) 56
  4. 4.What is the average of 36, 30, 13 and 17? (a) 25 (b) 24 (c) 23 (d) 32
  5. 5.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 80 (b) 16 (c) 54 (d) 42
  6. 6.A batter has an average of 35 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 49 (b) 98 (c) 63 (d) 42
  7. 7.What is the average of 39, 37, 42, 61 and 61? (a) 60 (b) 47 (c) 49 (d) 48
  8. 8.What is the average of 65, 76, 73, 70 and 76? (a) 71 (b) 72 (c) 73 (d) 90
  9. 9.What is the average of 56, 55, 55, 53, 57 and 42? (a) 52 (b) 54 (c) 53 (d) 55
  10. 10.What is the average of all the whole numbers from 28 to 38? (a) 10 (b) 34 (c) 5 (d) 33
  11. 11.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 50 (b) 56 (c) 12 (d) 47
  12. 12.What is the average of all the whole numbers from 57 to 81? (a) 24 (b) 70 (c) 69 (d) 12
  13. 13.What is the average of 50, 39, 41, 34 and 61? (a) 47 (b) 44 (c) 45 (d) 46
  14. 14.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) 29 (c) 20 (d) 22
  15. 15.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 40 (c) 79 (d) 55
  16. 16.What is the average of 72, 75, 61, 80 and 52? (a) 68 (b) 69 (c) 85 (d) 67
  17. 17.What is the average of all the whole numbers from 41 to 61? (a) 20 (b) 51 (c) 10 (d) 52
  18. 18.What is the average of 44, 28, 26, 29 and 58? (a) 38 (b) 36 (c) 39 (d) 37
  19. 19.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 65 (b) 18 (c) 50 (d) 97
  20. 20.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 18 (c) 49 (d) 37
  21. 21.What is the average of 44, 52, 51, 46 and 62? (a) 53 (b) 51 (c) 52 (d) 50
  22. 22.What is the average of 71, 80, 71 and 42? (a) 66 (b) 67 (c) 88 (d) 65
  23. 23.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 16 (c) 54 (d) 62
  24. 24.What is the average of 60, 57, 39, 41, 50 and 29? (a) 45 (b) 47 (c) 48 (d) 46
  25. 25.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 59 (c) 45 (d) 18
  26. 26.What is the average of 7, 13, 8 and 60? (a) 22 (b) 21 (c) 23 (d) 24
  27. 27.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 32 (b) 4 (c) 63 (d) 35
  28. 28.What is the average of all the whole numbers from 26 to 42? (a) 16 (b) 8 (c) 35 (d) 34
  29. 29.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 29 (c) 12 (d) 37
  30. 30.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 37 (b) 70 (c) 28 (d) 61
  31. 31.What is the average of 82, 82, 66 and 62? (a) 74 (b) 72 (c) 75 (d) 73
  32. 32.What is the average of 34, 52, 52, 28 and 19? (a) 37 (b) 36 (c) 38 (d) 39
  33. 33.What is the average of 45, 32, 37, 47 and 24? (a) 36 (b) 37 (c) 38 (d) 39
  34. 34.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 39 (b) 37 (c) 22 (d) 20
  35. 35.What is the average of all the whole numbers from 52 to 76? (a) 12 (b) 64 (c) 65 (d) 24
  36. 36.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 49 (c) 32 (d) 73
  37. 37.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) 22 (b) 29 (c) 15 (d) 8
  38. 38.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) 57 (b) 30 (c) 52 (d) 77
  39. 39.What is the average of all the whole numbers from 20 to 38? (a) 29 (b) 18 (c) 30 (d) 9
  40. 40.What is the average of all the whole numbers from 42 to 82? (a) 63 (b) 40 (c) 62 (d) 20

Answer key

  1. 32
  2. 24
  3. 56
  4. 24
  5. 54
  6. 98
  7. 48
  8. 72
  9. 53
  10. 33
  11. 56
  12. 69
  13. 45
  14. 29
  15. 79
  16. 68
  17. 51
  18. 37
  19. 65
  20. 49
  21. 51
  22. 66
  23. 62
  24. 46
  25. 59
  26. 22
  27. 35
  28. 34
  29. 37
  30. 61
  31. 73
  32. 37
  33. 37
  34. 37
  35. 64
  36. 73
  37. 22
  38. 77
  39. 29
  40. 62

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