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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 381 · 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 49, 61, 50, 40, 34 and 60? (a) 48 (b) 49 (c) 50 (d) 51
  2. 2.What is the average of all the whole numbers from 37 to 69? (a) 54 (b) 32 (c) 16 (d) 53
  3. 3.What is the average of 28, 24, 30 and 66? (a) 37 (b) 38 (c) 36 (d) 39
  4. 4.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 81 (b) 39 (c) 19 (d) 18
  5. 5.What is the average of 28, 29, 24, 24, 48 and 63? (a) 38 (b) 37 (c) 35 (d) 36
  6. 6.What is the average of all the whole numbers from 27 to 45? (a) 18 (b) 9 (c) 36 (d) 37
  7. 7.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 25 (b) 47 (c) 34 (d) 12
  8. 8.What is the average of all the whole numbers from 44 to 70? (a) 58 (b) 57 (c) 26 (d) 13
  9. 9.What is the average of 29, 32, 46, 41 and 47? (a) 39 (b) 38 (c) 41 (d) 40
  10. 10.What is the average of all the whole numbers from 42 to 76? (a) 34 (b) 17 (c) 60 (d) 59
  11. 11.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 91 (b) 47 (c) 59 (d) 15
  12. 12.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 14 (b) 40 (c) 42 (d) 52
  13. 13.What is the average of all the whole numbers from 54 to 68? (a) 61 (b) 14 (c) 62 (d) 7
  14. 14.What is the average of 61, 39, 56, 39, 40 and 59? (a) 50 (b) 48 (c) 51 (d) 49
  15. 15.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 49 (b) 74 (c) 30 (d) 93
  16. 16.What is the average of 80, 85, 80 and 47? (a) 72 (b) 74 (c) 73 (d) 75
  17. 17.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 49? (a) 49 (b) 91 (c) 92 (d) 56
  18. 18.What is the average of 22, 26, 44, 32, 24 and 50? (a) 33 (b) 35 (c) 34 (d) 32
  19. 19.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 72 (c) 112 (d) 56
  20. 20.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 52? (a) 106 (b) 60 (c) 58 (d) 52
  21. 21.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 89 (b) 56 (c) 88 (d) 48
  22. 22.What is the average of 72, 62, 63, 64 and 114? (a) 75 (b) 74 (c) 77 (d) 76
  23. 23.What is the average of 85, 58, 69 and 76? (a) 73 (b) 96 (c) 72 (d) 71
  24. 24.What is the average of all the whole numbers from 8 to 38? (a) 15 (b) 30 (c) 24 (d) 23
  25. 25.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 39 (b) 10 (c) 45 (d) 37
  26. 26.A batter has an average of 52 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 62 (b) 35 (c) 57 (d) 87
  27. 27.What is the average of 42, 41, 45, 46 and 21? (a) 41 (b) 39 (c) 40 (d) 38
  28. 28.What is the average of all the whole numbers from 21 to 55? (a) 39 (b) 38 (c) 34 (d) 17
  29. 29.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 26 (b) 45 (c) 23 (d) 4
  30. 30.What is the average of all the whole numbers from 45 to 75? (a) 30 (b) 15 (c) 61 (d) 60
  31. 31.What is the average of 39, 50, 40 and 39? (a) 42 (b) 56 (c) 43 (d) 41
  32. 32.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 64 (b) 56 (c) 113 (d) 112
  33. 33.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 27 (b) 89 (c) 28 (d) 42
  34. 34.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 32? (a) 80 (b) 38 (c) 54 (d) 32
  35. 35.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 7 (b) 8 (c) 36 (d) 17
  36. 36.What is the average of all the whole numbers from 60 to 90? (a) 76 (b) 75 (c) 30 (d) 15
  37. 37.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 14 (b) 10 (c) 5 (d) 19
  38. 38.What is the average of all the whole numbers from 51 to 63? (a) 12 (b) 57 (c) 6 (d) 58
  39. 39.What is the average of all the whole numbers from 40 to 56? (a) 48 (b) 8 (c) 16 (d) 49
  40. 40.A batter has an average of 54 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 104 (c) 50 (d) 64

Answer key

  1. 49
  2. 53
  3. 37
  4. 18
  5. 36
  6. 36
  7. 34
  8. 57
  9. 39
  10. 59
  11. 59
  12. 52
  13. 61
  14. 49
  15. 74
  16. 73
  17. 91
  18. 33
  19. 112
  20. 106
  21. 88
  22. 75
  23. 72
  24. 23
  25. 45
  26. 87
  27. 39
  28. 38
  29. 26
  30. 60
  31. 42
  32. 112
  33. 27
  34. 80
  35. 7
  36. 75
  37. 14
  38. 57
  39. 48
  40. 104

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