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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 364 · 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 66, 72, 74, 89 and 79? (a) 76 (b) 75 (c) 77 (d) 95
  2. 2.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 47 (b) 10 (c) 92 (d) 55
  3. 3.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 63 (c) 25 (d) 48
  4. 4.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 24? (a) 49 (b) 27 (c) 48 (d) 24
  5. 5.What is the average of 35, 49, 47 and 9? (a) 37 (b) 34 (c) 36 (d) 35
  6. 6.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 4 (b) 83 (c) 45 (d) 42
  7. 7.What is the average of all the whole numbers from 34 to 72? (a) 19 (b) 38 (c) 53 (d) 54
  8. 8.What is the average of all the whole numbers from 34 to 64? (a) 30 (b) 49 (c) 15 (d) 50
  9. 9.What is the average of 60, 51, 74, 63, 72 and 58? (a) 64 (b) 65 (c) 62 (d) 63
  10. 10.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 16 (b) 82 (c) 42 (d) 56
  11. 11.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 79 (b) 51 (c) 35 (d) 58
  12. 12.What is the average of 26, 31, 25 and 54? (a) 33 (b) 34 (c) 36 (d) 35
  13. 13.What is the average of 36, 16, 9, 20, 8 and 49? (a) 25 (b) 22 (c) 24 (d) 23
  14. 14.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 65 (b) 60 (c) 95 (d) 40
  15. 15.What is the average of 29, 30, 16 and 25? (a) 27 (b) 24 (c) 25 (d) 26
  16. 16.What is the average of 47, 20, 31 and 34? (a) 32 (b) 33 (c) 44 (d) 34
  17. 17.What is the average of all the whole numbers from 23 to 29? (a) 6 (b) 27 (c) 26 (d) 3
  18. 18.What is the average of all the whole numbers from 54 to 80? (a) 26 (b) 68 (c) 67 (d) 13
  19. 19.A batter has an average of 56 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 40 (b) 64 (c) 60 (d) 96
  20. 20.What is the average of 67, 61, 66 and 58? (a) 84 (b) 64 (c) 63 (d) 62
  21. 21.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 42 (b) 43 (c) 95 (d) 47
  22. 22.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 7 (b) 16 (c) 19 (d) 10
  23. 23.What is the average of all the whole numbers from 32 to 68? (a) 18 (b) 50 (c) 36 (d) 51
  24. 24.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 50 (b) 85 (c) 40 (d) 45
  25. 25.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 45? (a) 49 (b) 45 (c) 32 (d) 73
  26. 26.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 110 (b) 62 (c) 70 (d) 56
  27. 27.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 64 (c) 69 (d) 117
  28. 28.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 40 (b) 99 (c) 39 (d) 48
  29. 29.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 50 (b) 43 (c) 42 (d) 78
  30. 30.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 22 (b) 20 (c) 21 (d) 12
  31. 31.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 40 (b) 47 (c) 18 (d) 25
  32. 32.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 67 (b) 35 (c) 37 (d) 69
  33. 33.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 22? (a) 20 (b) 40 (c) 24 (d) 22
  34. 34.What is the average of 14, 29, 8 and 37? (a) 24 (b) 22 (c) 21 (d) 23
  35. 35.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 43 (b) 45 (c) 38 (d) 78
  36. 36.What is the average of 35, 22, 10 and 17? (a) 22 (b) 21 (c) 28 (d) 20
  37. 37.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 50 (b) 42 (c) 40 (d) 74
  38. 38.What is the average of all the whole numbers from 25 to 37? (a) 6 (b) 32 (c) 31 (d) 12
  39. 39.What is the average of all the whole numbers from 7 to 21? (a) 15 (b) 14 (c) 13 (d) 7
  40. 40.What is the average of 22, 14, 26, 22 and 51? (a) 28 (b) 27 (c) 26 (d) 29

Answer key

  1. 76
  2. 55
  3. 63
  4. 48
  5. 35
  6. 45
  7. 53
  8. 49
  9. 63
  10. 56
  11. 79
  12. 34
  13. 23
  14. 95
  15. 25
  16. 33
  17. 26
  18. 67
  19. 96
  20. 63
  21. 42
  22. 16
  23. 50
  24. 85
  25. 73
  26. 110
  27. 117
  28. 39
  29. 78
  30. 21
  31. 40
  32. 67
  33. 40
  34. 22
  35. 78
  36. 21
  37. 74
  38. 31
  39. 14
  40. 27

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