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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 570 · 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 24, 18, 24, 32, 35 and 29? (a) 28 (b) 29 (c) 26 (d) 27
  2. 2.What is the average of 63, 80, 77, 76, 70 and 90? (a) 77 (b) 75 (c) 76 (d) 78
  3. 3.What is the average of all the whole numbers from 42 to 60? (a) 9 (b) 51 (c) 52 (d) 18
  4. 4.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 63? (a) 103 (b) 63 (c) 45 (d) 68
  5. 5.What is the average of 61, 66, 75 and 42? (a) 63 (b) 61 (c) 62 (d) 60
  6. 6.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 38 (c) 80 (d) 102
  7. 7.What is the average of all the whole numbers from 5 to 45? (a) 40 (b) 26 (c) 20 (d) 25
  8. 8.What is the average of 54, 64, 71 and 83? (a) 69 (b) 67 (c) 70 (d) 68
  9. 9.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 56 (b) 20 (c) 46 (d) 41
  10. 10.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 50? (a) 32 (b) 50 (c) 54 (d) 78
  11. 11.What is the average of 13, 38, 32, 11, 29 and 21? (a) 24 (b) 23 (c) 26 (d) 25
  12. 12.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 2 (b) 31 (c) 67 (d) 1
  13. 13.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 12 (b) 20 (c) 38 (d) 30
  14. 14.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 12 (b) 18 (c) 7 (d) 23
  15. 15.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 14 (b) 27 (c) 5 (d) 18
  16. 16.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 67? (a) 67 (b) 74 (c) 102 (d) 42
  17. 17.What is the average of all the whole numbers from 28 to 44? (a) 8 (b) 16 (c) 36 (d) 37
  18. 18.What is the average of 37, 42, 23, 29, 21 and 58? (a) 42 (b) 35 (c) 36 (d) 34
  19. 19.What is the average of all the whole numbers from 46 to 72? (a) 60 (b) 13 (c) 26 (d) 59
  20. 20.What is the average of all the whole numbers from 43 to 67? (a) 55 (b) 24 (c) 12 (d) 56
  21. 21.The average of 8 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) 46 (d) 24
  22. 22.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 62? (a) 102 (b) 45 (c) 62 (d) 67
  23. 23.What is the average of 60, 49, 37, 45, 52 and 45? (a) 49 (b) 47 (c) 50 (d) 48
  24. 24.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 23 (b) 21 (c) 12 (d) 22
  25. 25.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 59 (c) 27 (d) 35
  26. 26.What is the average of 60, 44, 44, 65 and 37? (a) 51 (b) 52 (c) 50 (d) 49
  27. 27.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 33 (b) 67 (c) 27 (d) 28
  28. 28.What is the average of all the whole numbers from 27 to 61? (a) 45 (b) 44 (c) 34 (d) 17
  29. 29.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 12 (b) 27 (c) 29 (d) 37
  30. 30.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 41? (a) 64 (b) 49 (c) 97 (d) 41
  31. 31.What is the average of 72, 79, 90, 82, 92 and 59? (a) 81 (b) 78 (c) 79 (d) 80
  32. 32.What is the average of 22, 45, 18, 23 and 47? (a) 32 (b) 30 (c) 31 (d) 33
  33. 33.What is the average of 48, 66, 58 and 76? (a) 64 (b) 63 (c) 62 (d) 61
  34. 34.What is the average of 43, 54, 51 and 80? (a) 57 (b) 56 (c) 76 (d) 58
  35. 35.What is the average of all the whole numbers from 29 to 37? (a) 8 (b) 33 (c) 34 (d) 4
  36. 36.What is the average of 51, 67, 55, 69, 45 and 37? (a) 54 (b) 53 (c) 56 (d) 55
  37. 37.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 35 (b) 12 (c) 74 (d) 11
  38. 38.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 25 (b) 45 (c) 35 (d) 15
  39. 39.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 48 (b) 35 (c) 91 (d) 78
  40. 40.What is the average of all the whole numbers from 10 to 32? (a) 22 (b) 20 (c) 11 (d) 21

Answer key

  1. 27
  2. 76
  3. 51
  4. 103
  5. 61
  6. 102
  7. 25
  8. 68
  9. 56
  10. 78
  11. 24
  12. 1
  13. 30
  14. 18
  15. 18
  16. 102
  17. 36
  18. 35
  19. 59
  20. 55
  21. 46
  22. 102
  23. 48
  24. 22
  25. 59
  26. 50
  27. 27
  28. 44
  29. 37
  30. 97
  31. 79
  32. 31
  33. 62
  34. 57
  35. 33
  36. 54
  37. 11
  38. 45
  39. 78
  40. 21

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