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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 874 · 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 62, 48, 40, 55 and 70? (a) 57 (b) 54 (c) 55 (d) 56
  2. 2.What is the average of all the whole numbers from 19 to 33? (a) 27 (b) 14 (c) 26 (d) 7
  3. 3.What is the average of 13, 37, 22, 9 and 29? (a) 24 (b) 22 (c) 21 (d) 23
  4. 4.What is the average of 69, 91, 92, 83, 80 and 47? (a) 76 (b) 78 (c) 79 (d) 77
  5. 5.What is the average of 26, 49, 45 and 40? (a) 39 (b) 42 (c) 41 (d) 40
  6. 6.What is the average of 33, 26, 53, 53, 47 and 34? (a) 41 (b) 43 (c) 40 (d) 42
  7. 7.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 34 (b) 30 (c) 58 (d) 31
  8. 8.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 22 (b) 18 (c) 37 (d) 41
  9. 9.What is the average of 38, 39, 34, 23 and 21? (a) 32 (b) 30 (c) 33 (d) 31
  10. 10.What is the average of all the whole numbers from 40 to 80? (a) 60 (b) 40 (c) 61 (d) 20
  11. 11.What is the average of 80, 90, 72, 68 and 65? (a) 75 (b) 74 (c) 76 (d) 77
  12. 12.What is the average of 22, 23, 6, 17, 14 and 38? (a) 21 (b) 19 (c) 24 (d) 20
  13. 13.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 59? (a) 83 (b) 59 (c) 28 (d) 63
  14. 14.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 28? (a) 53 (b) 52 (c) 28 (d) 32
  15. 15.What is the average of 67, 86, 75 and 56? (a) 73 (b) 72 (c) 70 (d) 71
  16. 16.What is the average of 52, 48, 40 and 44? (a) 46 (b) 45 (c) 47 (d) 48
  17. 17.What is the average of all the whole numbers from 19 to 55? (a) 36 (b) 38 (c) 37 (d) 18
  18. 18.What is the average of 20, 35, 29 and 32? (a) 28 (b) 31 (c) 30 (d) 29
  19. 19.What is the average of all the whole numbers from 35 to 51? (a) 16 (b) 44 (c) 43 (d) 8
  20. 20.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 43? (a) 43 (b) 60 (c) 49 (d) 97
  21. 21.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 46 (b) 71 (c) 12 (d) 37
  22. 22.What is the average of 53, 59, 40, 42, 45 and 49? (a) 49 (b) 48 (c) 47 (d) 50
  23. 23.What is the average of 80, 65, 73 and 102? (a) 81 (b) 80 (c) 82 (d) 79
  24. 24.What is the average of all the whole numbers from 32 to 54? (a) 22 (b) 11 (c) 44 (d) 43
  25. 25.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 71 (b) 36 (c) 49 (d) 29
  26. 26.What is the average of 37, 27, 31, 45, 33 and 73? (a) 40 (b) 42 (c) 41 (d) 43
  27. 27.What is the average of all the whole numbers from 21 to 43? (a) 32 (b) 33 (c) 22 (d) 11
  28. 28.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 45 (b) 12 (c) 88 (d) 55
  29. 29.What is the average of all the whole numbers from 28 to 36? (a) 8 (b) 4 (c) 32 (d) 33
  30. 30.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 68 (b) 62 (c) 42 (d) 98
  31. 31.What is the average of all the whole numbers from 59 to 73? (a) 7 (b) 14 (c) 66 (d) 67
  32. 32.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) 83 (c) 35 (d) 36
  33. 33.What is the average of 60, 59, 67, 67, 48 and 71? (a) 63 (b) 61 (c) 64 (d) 62
  34. 34.What is the average of 70, 83, 62 and 73? (a) 96 (b) 71 (c) 72 (d) 73
  35. 35.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 36 (b) 39 (c) 71 (d) 4
  36. 36.What is the average of all the whole numbers from 29 to 47? (a) 9 (b) 18 (c) 39 (d) 38
  37. 37.What is the average of all the whole numbers from 15 to 53? (a) 38 (b) 19 (c) 35 (d) 34
  38. 38.What is the average of 10, 24, 32, 38, 39 and 7? (a) 26 (b) 24 (c) 25 (d) 30
  39. 39.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 15 (b) 61 (c) 32 (d) 44
  40. 40.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 33 (b) 73 (c) 36 (d) 34

Answer key

  1. 55
  2. 26
  3. 22
  4. 77
  5. 40
  6. 41
  7. 58
  8. 37
  9. 31
  10. 60
  11. 75
  12. 20
  13. 83
  14. 52
  15. 71
  16. 46
  17. 37
  18. 29
  19. 43
  20. 97
  21. 46
  22. 48
  23. 80
  24. 43
  25. 71
  26. 41
  27. 32
  28. 55
  29. 32
  30. 98
  31. 66
  32. 35
  33. 62
  34. 72
  35. 39
  36. 38
  37. 34
  38. 25
  39. 44
  40. 33

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