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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 67 · 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, 42, 34, 25 and 44? (a) 32 (b) 35 (c) 34 (d) 33
  2. 2.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 54 (b) 32 (c) 46 (d) 70
  3. 3.What is the average of all the whole numbers from 45 to 57? (a) 51 (b) 12 (c) 52 (d) 6
  4. 4.What is the average of 38, 32, 42 and 24? (a) 36 (b) 34 (c) 33 (d) 35
  5. 5.What is the average of 65, 49, 42, 65, 56 and 29? (a) 50 (b) 53 (c) 51 (d) 52
  6. 6.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 31? (a) 31 (b) 49 (c) 73 (d) 38
  7. 7.What is the average of all the whole numbers from 30 to 42? (a) 6 (b) 37 (c) 12 (d) 36
  8. 8.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 23 (b) 53 (c) 24 (d) 26
  9. 9.What is the average of all the whole numbers from 15 to 25? (a) 5 (b) 21 (c) 10 (d) 20
  10. 10.What is the average of 75, 69, 66 and 66? (a) 68 (b) 92 (c) 69 (d) 70
  11. 11.What is the average of all the whole numbers from 41 to 51? (a) 5 (b) 10 (c) 46 (d) 47
  12. 12.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 40? (a) 28 (b) 61 (c) 47 (d) 40
  13. 13.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 51 (b) 44 (c) 28 (d) 65
  14. 14.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 8 (b) 45 (c) 52 (d) 89
  15. 15.What is the average of 55, 45, 70, 71 and 44? (a) 56 (b) 57 (c) 59 (d) 58
  16. 16.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 13 (b) 91 (c) 14 (d) 43
  17. 17.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 8 (c) 63 (d) 67
  18. 18.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) 10 (c) 11 (d) 65
  19. 19.What is the average of all the whole numbers from 49 to 67? (a) 9 (b) 18 (c) 59 (d) 58
  20. 20.What is the average of 82, 72, 75 and 79? (a) 77 (b) 78 (c) 79 (d) 76
  21. 21.What is the average of 31, 37, 35, 48, 51 and 68? (a) 46 (b) 44 (c) 54 (d) 45
  22. 22.What is the average of all the whole numbers from 18 to 30? (a) 25 (b) 6 (c) 24 (d) 12
  23. 23.What is the average of all the whole numbers from 20 to 42? (a) 11 (b) 32 (c) 22 (d) 31
  24. 24.What is the average of 6, 11, 19, 13 and 56? (a) 22 (b) 23 (c) 20 (d) 21
  25. 25.What is the average of 75, 61, 81, 80 and 83? (a) 95 (b) 77 (c) 75 (d) 76
  26. 26.What is the average of 27, 35, 19, 35 and 39? (a) 31 (b) 32 (c) 33 (d) 30
  27. 27.What is the average of 80, 83, 59, 60 and 68? (a) 71 (b) 72 (c) 70 (d) 69
  28. 28.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 16 (b) 17 (c) 34 (d) 71
  29. 29.What is the average of 55, 73, 52, 57 and 58? (a) 58 (b) 61 (c) 60 (d) 59
  30. 30.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 33 (b) 28 (c) 30 (d) 53
  31. 31.What is the average of 33, 22, 20, 39 and 46? (a) 32 (b) 40 (c) 31 (d) 33
  32. 32.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 42 (b) 48 (c) 83 (d) 7
  33. 33.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 40 (b) 35 (c) 10 (d) 15
  34. 34.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 29 (b) 10 (c) 27 (d) 35
  35. 35.What is the average of 62, 47, 55, 38 and 48? (a) 50 (b) 52 (c) 49 (d) 51
  36. 36.What is the average of all the whole numbers from 25 to 49? (a) 24 (b) 37 (c) 38 (d) 12
  37. 37.What is the average of 53, 49, 56, 71 and 66? (a) 58 (b) 61 (c) 59 (d) 60
  38. 38.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 30 (b) 31 (c) 51 (d) 26
  39. 39.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 60? (a) 70 (b) 123 (c) 60 (d) 67
  40. 40.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 94 (b) 45 (c) 30 (d) 29

Answer key

  1. 33
  2. 70
  3. 51
  4. 34
  5. 51
  6. 73
  7. 36
  8. 23
  9. 20
  10. 69
  11. 46
  12. 61
  13. 65
  14. 52
  15. 57
  16. 13
  17. 67
  18. 10
  19. 58
  20. 77
  21. 45
  22. 24
  23. 31
  24. 21
  25. 76
  26. 31
  27. 70
  28. 16
  29. 59
  30. 53
  31. 32
  32. 48
  33. 40
  34. 35
  35. 50
  36. 37
  37. 59
  38. 51
  39. 123
  40. 29

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