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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 183 · 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 67, 71, 63, 88, 73 and 106? (a) 80 (b) 78 (c) 79 (d) 77
  2. 2.What is the average of 46, 24, 20, 45, 28 and 47? (a) 36 (b) 42 (c) 34 (d) 35
  3. 3.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 37 (b) 35 (c) 21 (d) 19
  4. 4.What is the average of 60, 90, 66 and 84? (a) 100 (b) 74 (c) 75 (d) 76
  5. 5.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 63 (b) 21 (c) 45 (d) 48
  6. 6.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) 66 (c) 34 (d) 10
  7. 7.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 41 (b) 24 (c) 38 (d) 59
  8. 8.What is the average of all the whole numbers from 14 to 32? (a) 9 (b) 23 (c) 18 (d) 24
  9. 9.What is the average of 36, 13, 26, 32, 25 and 30? (a) 27 (b) 28 (c) 29 (d) 26
  10. 10.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 60? (a) 62 (b) 12 (c) 60 (d) 70
  11. 11.What is the average of all the whole numbers from 45 to 81? (a) 63 (b) 18 (c) 64 (d) 36
  12. 12.What is the average of all the whole numbers from 56 to 68? (a) 6 (b) 12 (c) 62 (d) 63
  13. 13.What is the average of 64, 47, 36 and 57? (a) 68 (b) 52 (c) 50 (d) 51
  14. 14.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 16 (c) 15 (d) 27
  15. 15.What is the average of 73, 72, 53 and 42? (a) 60 (b) 59 (c) 61 (d) 80
  16. 16.What is the average of all the whole numbers from 27 to 63? (a) 45 (b) 18 (c) 36 (d) 46
  17. 17.What is the average of all the whole numbers from 26 to 36? (a) 5 (b) 31 (c) 10 (d) 32
  18. 18.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 28 (b) 14 (c) 16 (d) 30
  19. 19.What is the average of all the whole numbers from 22 to 36? (a) 7 (b) 30 (c) 29 (d) 14
  20. 20.What is the average of 9, 10, 13, 12, 27 and 55? (a) 20 (b) 21 (c) 23 (d) 22
  21. 21.What is the average of all the whole numbers from 12 to 40? (a) 26 (b) 27 (c) 28 (d) 14
  22. 22.What is the average of all the whole numbers from 55 to 89? (a) 73 (b) 34 (c) 72 (d) 17
  23. 23.What is the average of all the whole numbers from 60 to 84? (a) 72 (b) 73 (c) 12 (d) 24
  24. 24.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 42 (b) 88 (c) 27 (d) 26
  25. 25.What is the average of all the whole numbers from 39 to 59? (a) 20 (b) 50 (c) 10 (d) 49
  26. 26.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 30? (a) 20 (b) 48 (c) 32 (d) 30
  27. 27.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 37 (b) 18 (c) 79 (d) 17
  28. 28.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 24 (c) 60 (d) 72
  29. 29.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 65 (b) 40 (c) 89 (d) 57
  30. 30.What is the average of all the whole numbers from 48 to 74? (a) 61 (b) 26 (c) 13 (d) 62
  31. 31.What is the average of 42, 59, 53, 37, 39 and 40? (a) 45 (b) 46 (c) 54 (d) 44
  32. 32.What is the average of 79, 67, 82, 71, 63 and 82? (a) 73 (b) 76 (c) 75 (d) 74
  33. 33.What is the average of 30, 20, 38, 21, 21 and 56? (a) 33 (b) 31 (c) 30 (d) 32
  34. 34.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 87 (b) 28 (c) 42 (d) 27
  35. 35.What is the average of 64, 64, 53 and 79? (a) 64 (b) 67 (c) 65 (d) 66
  36. 36.What is the average of all the whole numbers from 53 to 87? (a) 17 (b) 71 (c) 70 (d) 34
  37. 37.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 27? (a) 21 (b) 30 (c) 27 (d) 45
  38. 38.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 31 (b) 65 (c) 11 (d) 10
  39. 39.What is the average of all the whole numbers from 21 to 53? (a) 37 (b) 16 (c) 32 (d) 38
  40. 40.What is the average of 63, 87, 61, 84 and 85? (a) 77 (b) 76 (c) 95 (d) 75

Answer key

  1. 78
  2. 35
  3. 37
  4. 75
  5. 63
  6. 42
  7. 59
  8. 23
  9. 27
  10. 70
  11. 63
  12. 62
  13. 51
  14. 27
  15. 60
  16. 45
  17. 31
  18. 28
  19. 29
  20. 21
  21. 26
  22. 72
  23. 72
  24. 26
  25. 49
  26. 48
  27. 17
  28. 72
  29. 89
  30. 61
  31. 45
  32. 74
  33. 31
  34. 27
  35. 65
  36. 70
  37. 45
  38. 10
  39. 37
  40. 76

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