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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 325 · 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 21, 19, 36, 35 and 34? (a) 31 (b) 30 (c) 28 (d) 29
  2. 2.What is the average of 52, 48, 38, 37, 37 and 88? (a) 50 (b) 49 (c) 51 (d) 60
  3. 3.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 23 (b) 26 (c) 18 (d) 38
  4. 4.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 49 (b) 15 (c) 95 (d) 61
  5. 5.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 57 (c) 24 (d) 39
  6. 6.What is the average of all the whole numbers from 57 to 93? (a) 75 (b) 18 (c) 36 (d) 76
  7. 7.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 21 (b) 22 (c) 87 (d) 42
  8. 8.What is the average of all the whole numbers from 5 to 29? (a) 24 (b) 18 (c) 17 (d) 12
  9. 9.What is the average of 65, 72, 74, 85 and 79? (a) 75 (b) 77 (c) 74 (d) 76
  10. 10.What is the average of all the whole numbers from 27 to 67? (a) 40 (b) 20 (c) 47 (d) 48
  11. 11.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 37 (b) 83 (c) 41 (d) 38
  12. 12.What is the average of all the whole numbers from 59 to 67? (a) 64 (b) 63 (c) 4 (d) 8
  13. 13.What is the average of 71, 75, 72, 63 and 89? (a) 76 (b) 74 (c) 75 (d) 73
  14. 14.What is the average of 23, 24, 33 and 60? (a) 34 (b) 35 (c) 37 (d) 36
  15. 15.What is the average of 91, 91, 92, 72, 91 and 37? (a) 80 (b) 78 (c) 81 (d) 79
  16. 16.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 34 (b) 8 (c) 40 (d) 66
  17. 17.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 33 (b) 16 (c) 10 (d) 9
  18. 18.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 20 (b) 79 (c) 61 (d) 63
  19. 19.What is the average of 37, 37, 43 and 23? (a) 34 (b) 37 (c) 35 (d) 36
  20. 20.What is the average of 28, 19, 34, 31, 21 and 71? (a) 33 (b) 34 (c) 35 (d) 36
  21. 21.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 44? (a) 52 (b) 44 (c) 40 (d) 76
  22. 22.What is the average of all the whole numbers from 30 to 42? (a) 6 (b) 12 (c) 37 (d) 36
  23. 23.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 45 (c) 99 (d) 64
  24. 24.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 31 (b) 51 (c) 25 (d) 57
  25. 25.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 58 (b) 16 (c) 50 (d) 46
  26. 26.What is the average of 46, 63, 50, 62, 47 and 38? (a) 53 (b) 51 (c) 52 (d) 50
  27. 27.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 40 (c) 80 (d) 104
  28. 28.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 15 (b) 45 (c) 57 (d) 87
  29. 29.What is the average of 54, 25, 37, 52 and 27? (a) 38 (b) 40 (c) 41 (d) 39
  30. 30.What is the average of 34, 26, 49, 30 and 31? (a) 34 (b) 36 (c) 35 (d) 33
  31. 31.What is the average of all the whole numbers from 15 to 39? (a) 28 (b) 24 (c) 12 (d) 27
  32. 32.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 74 (b) 65 (c) 15 (d) 62
  33. 33.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 29 (b) 60 (c) 24 (d) 23
  34. 34.What is the average of 40, 30, 13 and 29? (a) 29 (b) 30 (c) 28 (d) 27
  35. 35.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 33? (a) 21 (b) 36 (c) 33 (d) 51
  36. 36.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 36? (a) 39 (b) 45 (c) 12 (d) 36
  37. 37.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 30 (b) 63 (c) 12 (d) 13
  38. 38.What is the average of 35, 22, 32 and 35? (a) 31 (b) 33 (c) 30 (d) 32
  39. 39.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 26? (a) 29 (b) 26 (c) 53 (d) 30
  40. 40.What is the average of all the whole numbers from 35 to 57? (a) 11 (b) 46 (c) 47 (d) 22

Answer key

  1. 29
  2. 50
  3. 38
  4. 61
  5. 57
  6. 75
  7. 21
  8. 17
  9. 75
  10. 47
  11. 37
  12. 63
  13. 74
  14. 35
  15. 79
  16. 40
  17. 9
  18. 79
  19. 35
  20. 34
  21. 76
  22. 36
  23. 99
  24. 51
  25. 58
  26. 51
  27. 104
  28. 57
  29. 39
  30. 34
  31. 27
  32. 74
  33. 23
  34. 28
  35. 51
  36. 45
  37. 12
  38. 31
  39. 53
  40. 46

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