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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 669 · 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 10, 20, 14, 28, 33 and 27? (a) 22 (b) 21 (c) 23 (d) 24
  2. 2.What is the average of 12, 11, 26, 25 and 26? (a) 19 (b) 21 (c) 25 (d) 20
  3. 3.What is the average of 75, 57, 59, 58 and 76? (a) 66 (b) 64 (c) 67 (d) 65
  4. 4.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 46 (b) 38 (c) 94 (d) 64
  5. 5.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 42? (a) 47 (b) 50 (c) 42 (d) 87
  6. 6.What is the average of 59, 80, 58, 71, 87 and 83? (a) 73 (b) 72 (c) 75 (d) 74
  7. 7.What is the average of 77, 66, 70, 90 and 82? (a) 77 (b) 79 (c) 76 (d) 78
  8. 8.What is the average of all the whole numbers from 10 to 26? (a) 18 (b) 19 (c) 8 (d) 16
  9. 9.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 55 (b) 45 (c) 20 (d) 30
  10. 10.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 72 (b) 10 (c) 45 (d) 37
  11. 11.What is the average of all the whole numbers from 36 to 58? (a) 22 (b) 48 (c) 47 (d) 11
  12. 12.What is the average of 36, 36, 47 and 81? (a) 51 (b) 52 (c) 50 (d) 49
  13. 13.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 23 (b) 5 (c) 37 (d) 19
  14. 14.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 49 (b) 22 (c) 102 (d) 21
  15. 15.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 30 (b) 10 (c) 15 (d) 35
  16. 16.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 2 (b) 3 (c) 30 (d) 14
  17. 17.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 19 (b) 27 (c) 6 (d) 14
  18. 18.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 96 (b) 46 (c) 27 (d) 26
  19. 19.What is the average of all the whole numbers from 60 to 82? (a) 11 (b) 22 (c) 71 (d) 72
  20. 20.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 18 (b) 63 (c) 51 (d) 48
  21. 21.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 16 (c) 72 (d) 51
  22. 22.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 59 (c) 8 (d) 55
  23. 23.What is the average of all the whole numbers from 36 to 76? (a) 40 (b) 56 (c) 20 (d) 57
  24. 24.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 44 (b) 20 (c) 59 (d) 83
  25. 25.What is the average of all the whole numbers from 11 to 17? (a) 15 (b) 3 (c) 14 (d) 6
  26. 26.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 51 (b) 25 (c) 22 (d) 21
  27. 27.What is the average of 74, 87, 77 and 66? (a) 75 (b) 76 (c) 78 (d) 77
  28. 28.What is the average of all the whole numbers from 39 to 61? (a) 11 (b) 22 (c) 51 (d) 50
  29. 29.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 35 (b) 68 (c) 8 (d) 41
  30. 30.What is the average of all the whole numbers from 15 to 47? (a) 32 (b) 16 (c) 30 (d) 31
  31. 31.What is the average of 79, 63, 70 and 96? (a) 79 (b) 78 (c) 77 (d) 76
  32. 32.What is the average of 41, 54, 43 and 38? (a) 46 (b) 45 (c) 43 (d) 44
  33. 33.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 25 (b) 12 (c) 10 (d) 9
  34. 34.What is the average of all the whole numbers from 41 to 79? (a) 61 (b) 38 (c) 19 (d) 60
  35. 35.What is the average of 6, 28, 27, 27 and 17? (a) 22 (b) 21 (c) 23 (d) 20
  36. 36.A batter has an average of 51 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 12 (c) 55 (d) 63
  37. 37.What is the average of 33, 57, 47 and 55? (a) 49 (b) 47 (c) 48 (d) 64
  38. 38.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 46 (b) 8 (c) 40 (d) 78
  39. 39.What is the average of all the whole numbers from 7 to 47? (a) 40 (b) 27 (c) 28 (d) 20
  40. 40.What is the average of all the whole numbers from 12 to 26? (a) 19 (b) 14 (c) 20 (d) 7

Answer key

  1. 22
  2. 20
  3. 65
  4. 94
  5. 87
  6. 73
  7. 77
  8. 18
  9. 45
  10. 45
  11. 47
  12. 50
  13. 23
  14. 21
  15. 35
  16. 2
  17. 19
  18. 26
  19. 71
  20. 63
  21. 51
  22. 59
  23. 56
  24. 59
  25. 14
  26. 21
  27. 76
  28. 50
  29. 41
  30. 31
  31. 77
  32. 44
  33. 9
  34. 60
  35. 21
  36. 63
  37. 48
  38. 46
  39. 27
  40. 19

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