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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 232 · 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 64, 65, 57, 43, 68 and 39? (a) 58 (b) 57 (c) 56 (d) 55
  2. 2.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 7 (b) 26 (c) 57 (d) 6
  3. 3.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 41 (b) 6 (c) 71 (d) 36
  4. 4.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 43 (b) 44 (c) 24 (d) 45
  5. 5.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 30 (b) 42 (c) 62 (d) 37
  6. 6.What is the average of 18, 25, 31 and 34? (a) 36 (b) 26 (c) 28 (d) 27
  7. 7.What is the average of all the whole numbers from 57 to 85? (a) 14 (b) 71 (c) 28 (d) 72
  8. 8.What is the average of all the whole numbers from 51 to 75? (a) 64 (b) 24 (c) 63 (d) 12
  9. 9.What is the average of all the whole numbers from 52 to 92? (a) 73 (b) 72 (c) 20 (d) 40
  10. 10.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 16 (b) 40 (c) 17 (d) 84
  11. 11.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 30? (a) 60 (b) 84 (c) 36 (d) 30
  12. 12.What is the average of all the whole numbers from 58 to 72? (a) 66 (b) 14 (c) 65 (d) 7
  13. 13.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 48 (b) 26 (c) 68 (d) 32
  14. 14.A batter has an average of 34 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 42 (c) 62 (d) 28
  15. 15.What is the average of 60, 61, 54 and 9? (a) 47 (b) 48 (c) 45 (d) 46
  16. 16.What is the average of all the whole numbers from 32 to 52? (a) 43 (b) 10 (c) 20 (d) 42
  17. 17.What is the average of all the whole numbers from 47 to 69? (a) 11 (b) 59 (c) 22 (d) 58
  18. 18.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 40 (b) 61 (c) 53 (d) 85
  19. 19.What is the average of 12, 9, 30, 18, 15 and 36? (a) 21 (b) 24 (c) 19 (d) 20
  20. 20.What is the average of all the whole numbers from 31 to 43? (a) 12 (b) 37 (c) 38 (d) 6
  21. 21.What is the average of all the whole numbers from 20 to 26? (a) 6 (b) 3 (c) 24 (d) 23
  22. 22.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 36 (b) 31 (c) 46 (d) 20
  23. 23.What is the average of 13, 13, 30, 15 and 59? (a) 25 (b) 28 (c) 27 (d) 26
  24. 24.What is the average of 66, 67, 69 and 26? (a) 58 (b) 76 (c) 57 (d) 56
  25. 25.What is the average of all the whole numbers from 48 to 64? (a) 16 (b) 57 (c) 8 (d) 56
  26. 26.What is the average of all the whole numbers from 24 to 34? (a) 5 (b) 30 (c) 29 (d) 10
  27. 27.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 38 (c) 26 (d) 8
  28. 28.What is the average of 40, 21, 38 and 13? (a) 30 (b) 27 (c) 29 (d) 28
  29. 29.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 87 (b) 28 (c) 27 (d) 42
  30. 30.What is the average of 74, 69, 67 and 58? (a) 67 (b) 68 (c) 69 (d) 66
  31. 31.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 45 (c) 66 (d) 27
  32. 32.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 53 (b) 73 (c) 38 (d) 18
  33. 33.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 51 (b) 16 (c) 59 (d) 47
  34. 34.What is the average of 37, 37, 61, 38 and 67? (a) 47 (b) 49 (c) 48 (d) 60
  35. 35.What is the average of 35, 58, 36 and 63? (a) 64 (b) 47 (c) 48 (d) 49
  36. 36.A batter has an average of 29 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 47 (b) 31 (c) 18 (d) 33
  37. 37.What is the average of all the whole numbers from 42 to 82? (a) 62 (b) 20 (c) 63 (d) 40
  38. 38.What is the average of 65, 72, 45, 48 and 70? (a) 60 (b) 75 (c) 59 (d) 61
  39. 39.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 16 (b) 30 (c) 15 (d) 65
  40. 40.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 16 (b) 15 (c) 36 (d) 75

Answer key

  1. 56
  2. 6
  3. 41
  4. 44
  5. 62
  6. 27
  7. 71
  8. 63
  9. 72
  10. 16
  11. 84
  12. 65
  13. 68
  14. 62
  15. 46
  16. 42
  17. 58
  18. 85
  19. 20
  20. 37
  21. 23
  22. 46
  23. 26
  24. 57
  25. 56
  26. 29
  27. 26
  28. 28
  29. 27
  30. 67
  31. 66
  32. 53
  33. 59
  34. 48
  35. 48
  36. 47
  37. 62
  38. 60
  39. 15
  40. 15

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