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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 361 · 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 20, 31, 17, 12, 11 and 29? (a) 24 (b) 21 (c) 19 (d) 20
  2. 2.What is the average of all the whole numbers from 12 to 36? (a) 12 (b) 24 (c) 25 (d) 23
  3. 3.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 28 (b) 49 (c) 63 (d) 42
  4. 4.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 40 (b) 12 (c) 11 (d) 19
  5. 5.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 54 (b) 24 (c) 33 (d) 63
  6. 6.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 25 (b) 45 (c) 85 (d) 65
  7. 7.What is the average of 68, 77, 62 and 49? (a) 64 (b) 65 (c) 63 (d) 66
  8. 8.What is the average of all the whole numbers from 51 to 69? (a) 18 (b) 60 (c) 61 (d) 9
  9. 9.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 60 (b) 117 (c) 63 (d) 69
  10. 10.What is the average of all the whole numbers from 50 to 60? (a) 10 (b) 5 (c) 56 (d) 55
  11. 11.What is the average of all the whole numbers from 47 to 55? (a) 8 (b) 52 (c) 4 (d) 51
  12. 12.What is the average of 71, 83, 63, 65, 65 and 73? (a) 69 (b) 71 (c) 70 (d) 84
  13. 13.What is the average of 79, 57, 60, 58 and 86? (a) 85 (b) 67 (c) 69 (d) 68
  14. 14.What is the average of all the whole numbers from 24 to 60? (a) 18 (b) 42 (c) 43 (d) 36
  15. 15.What is the average of 53, 45, 61, 52 and 24? (a) 47 (b) 49 (c) 48 (d) 46
  16. 16.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 40 (b) 65 (c) 61 (d) 97
  17. 17.What is the average of 41, 31, 42, 29, 33 and 16? (a) 34 (b) 32 (c) 33 (d) 31
  18. 18.What is the average of all the whole numbers from 20 to 28? (a) 4 (b) 25 (c) 8 (d) 24
  19. 19.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 66? (a) 63 (b) 122 (c) 73 (d) 66
  20. 20.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 31 (b) 29 (c) 28 (d) 63
  21. 21.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 87 (b) 32 (c) 71 (d) 63
  22. 22.What is the average of 24, 34, 33, 19, 21 and 37? (a) 27 (b) 30 (c) 29 (d) 28
  23. 23.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 94 (b) 73 (c) 28 (d) 49
  24. 24.What is the average of all the whole numbers from 46 to 72? (a) 13 (b) 60 (c) 59 (d) 26
  25. 25.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 71 (b) 55 (c) 24 (d) 51
  26. 26.What is the average of 43, 40, 31, 48 and 68? (a) 47 (b) 48 (c) 45 (d) 46
  27. 27.What is the average of all the whole numbers from 60 to 94? (a) 17 (b) 77 (c) 34 (d) 78
  28. 28.What is the average of all the whole numbers from 18 to 46? (a) 33 (b) 28 (c) 14 (d) 32
  29. 29.What is the average of 56, 70, 74, 64 and 66? (a) 66 (b) 67 (c) 65 (d) 68
  30. 30.What is the average of 68, 70, 62, 85 and 90? (a) 76 (b) 75 (c) 77 (d) 74
  31. 31.A batter has an average of 31 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 37 (c) 46 (d) 15
  32. 32.The average of 4 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 13 (b) 40 (c) 19 (d) 14
  33. 33.What is the average of 63, 47, 48 and 70? (a) 76 (b) 56 (c) 57 (d) 58
  34. 34.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 24 (b) 45 (c) 57 (d) 39
  35. 35.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 70 (c) 41 (d) 97
  36. 36.What is the average of all the whole numbers from 59 to 99? (a) 79 (b) 20 (c) 40 (d) 80
  37. 37.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 50 (b) 35 (c) 71 (d) 43
  38. 38.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 27 (b) 52 (c) 8 (d) 33
  39. 39.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 37 (b) 48 (c) 100 (d) 36
  40. 40.What is the average of all the whole numbers from 24 to 32? (a) 8 (b) 28 (c) 29 (d) 4

Answer key

  1. 20
  2. 24
  3. 63
  4. 11
  5. 54
  6. 65
  7. 64
  8. 60
  9. 117
  10. 55
  11. 51
  12. 70
  13. 68
  14. 42
  15. 47
  16. 97
  17. 32
  18. 24
  19. 122
  20. 28
  21. 87
  22. 28
  23. 73
  24. 59
  25. 71
  26. 46
  27. 77
  28. 32
  29. 66
  30. 75
  31. 46
  32. 13
  33. 57
  34. 57
  35. 97
  36. 79
  37. 71
  38. 33
  39. 36
  40. 28

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