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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 377 · 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 11, 13, 27, 31 and 23? (a) 22 (b) 20 (c) 21 (d) 23
  2. 2.What is the average of all the whole numbers from 10 to 24? (a) 17 (b) 18 (c) 7 (d) 14
  3. 3.What is the average of 37, 19, 45, 44 and 25? (a) 33 (b) 35 (c) 34 (d) 36
  4. 4.What is the average of all the whole numbers from 51 to 81? (a) 67 (b) 15 (c) 30 (d) 66
  5. 5.What is the average of all the whole numbers from 14 to 44? (a) 29 (b) 30 (c) 28 (d) 15
  6. 6.A batter has an average of 53 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 61 (b) 77 (c) 24 (d) 57
  7. 7.What is the average of all the whole numbers from 11 to 35? (a) 23 (b) 22 (c) 24 (d) 12
  8. 8.What is the average of 63, 76, 57, 62 and 67? (a) 66 (b) 64 (c) 65 (d) 67
  9. 9.A batter has an average of 34 runs in 9 matches. How many runs are needed in the next match to raise the average to 38? (a) 40 (b) 38 (c) 42 (d) 74
  10. 10.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 29? (a) 29 (b) 27 (c) 32 (d) 53
  11. 11.What is the average of all the whole numbers from 5 to 31? (a) 18 (b) 13 (c) 19 (d) 26
  12. 12.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 16 (b) 13 (c) 25 (d) 4
  13. 13.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 32 (b) 39 (c) 31 (d) 80
  14. 14.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 44 (b) 34 (c) 66 (d) 12
  15. 15.What is the average of all the whole numbers from 18 to 26? (a) 8 (b) 22 (c) 23 (d) 4
  16. 16.What is the average of 40, 54, 41 and 61? (a) 50 (b) 49 (c) 48 (d) 51
  17. 17.What is the average of 40, 57, 50, 38 and 70? (a) 52 (b) 51 (c) 53 (d) 50
  18. 18.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 1 (b) 16 (c) 2 (d) 37
  19. 19.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 59 (b) 51 (c) 56 (d) 99
  20. 20.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 33 (b) 6 (c) 28 (d) 55
  21. 21.What is the average of 59, 71, 56 and 58? (a) 61 (b) 63 (c) 60 (d) 62
  22. 22.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 47? (a) 48 (b) 47 (c) 53 (d) 89
  23. 23.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 20 (b) 18 (c) 11 (d) 27
  24. 24.What is the average of 56, 41, 59, 65 and 49? (a) 56 (b) 55 (c) 54 (d) 53
  25. 25.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 37 (b) 12 (c) 18 (d) 11
  26. 26.What is the average of 86, 67, 81, 90 and 56? (a) 77 (b) 76 (c) 75 (d) 95
  27. 27.What is the average of all the whole numbers from 31 to 59? (a) 14 (b) 28 (c) 46 (d) 45
  28. 28.What is the average of 58, 31, 37, 36, 44 and 58? (a) 45 (b) 46 (c) 44 (d) 43
  29. 29.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 42 (b) 34 (c) 66 (d) 10
  30. 30.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 60 (c) 70 (d) 116
  31. 31.What is the average of 62, 91, 67, 73 and 87? (a) 95 (b) 77 (c) 75 (d) 76
  32. 32.What is the average of all the whole numbers from 24 to 54? (a) 30 (b) 15 (c) 39 (d) 40
  33. 33.What is the average of 12, 17, 27 and 40? (a) 24 (b) 32 (c) 25 (d) 23
  34. 34.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 59 (b) 69 (c) 14 (d) 57
  35. 35.What is the average of 42, 24, 38, 22 and 14? (a) 29 (b) 27 (c) 28 (d) 35
  36. 36.What is the average of all the whole numbers from 35 to 73? (a) 38 (b) 54 (c) 55 (d) 19
  37. 37.What is the average of 72, 76, 58 and 62? (a) 67 (b) 69 (c) 66 (d) 68
  38. 38.What is the average of 43, 43, 36 and 66? (a) 48 (b) 46 (c) 47 (d) 49
  39. 39.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 77 (b) 40 (c) 45 (d) 41
  40. 40.What is the average of all the whole numbers from 48 to 54? (a) 6 (b) 3 (c) 52 (d) 51

Answer key

  1. 21
  2. 17
  3. 34
  4. 66
  5. 29
  6. 77
  7. 23
  8. 65
  9. 74
  10. 53
  11. 18
  12. 16
  13. 31
  14. 44
  15. 22
  16. 49
  17. 51
  18. 1
  19. 99
  20. 33
  21. 61
  22. 89
  23. 27
  24. 54
  25. 11
  26. 76
  27. 45
  28. 44
  29. 42
  30. 116
  31. 76
  32. 39
  33. 24
  34. 69
  35. 28
  36. 54
  37. 67
  38. 47
  39. 77
  40. 51

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