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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 264 · 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 all the whole numbers from 39 to 69? (a) 55 (b) 15 (c) 54 (d) 30
  2. 2.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 28 (b) 27 (c) 42 (d) 89
  3. 3.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 40 (b) 71 (c) 73 (d) 38
  4. 4.What is the average of 36, 37, 54, 40, 36 and 49? (a) 44 (b) 41 (c) 43 (d) 42
  5. 5.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 52? (a) 79 (b) 30 (c) 52 (d) 55
  6. 6.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 18 (b) 32 (c) 34 (d) 33
  7. 7.What is the average of all the whole numbers from 36 to 68? (a) 32 (b) 52 (c) 53 (d) 16
  8. 8.What is the average of all the whole numbers from 54 to 64? (a) 59 (b) 10 (c) 5 (d) 60
  9. 9.What is the average of all the whole numbers from 17 to 57? (a) 40 (b) 38 (c) 37 (d) 20
  10. 10.What is the average of all the whole numbers from 12 to 24? (a) 12 (b) 6 (c) 19 (d) 18
  11. 11.What is the average of 41, 27, 27, 38, 31 and 64? (a) 39 (b) 37 (c) 38 (d) 40
  12. 12.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 33 (c) 45 (d) 24
  13. 13.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 49? (a) 73 (b) 53 (c) 28 (d) 49
  14. 14.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 40 (c) 49 (d) 81
  15. 15.What is the average of 73, 46, 57 and 68? (a) 61 (b) 62 (c) 60 (d) 63
  16. 16.What is the average of 9, 32, 10 and 29? (a) 21 (b) 19 (c) 22 (d) 20
  17. 17.What is the average of 38, 57, 40 and 69? (a) 52 (b) 50 (c) 68 (d) 51
  18. 18.A batter has an average of 41 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 30 (b) 71 (c) 47 (d) 44
  19. 19.What is the average of all the whole numbers from 25 to 57? (a) 32 (b) 41 (c) 16 (d) 42
  20. 20.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 50 (b) 80 (c) 40 (d) 35
  21. 21.What is the average of 26, 8, 16 and 38? (a) 24 (b) 22 (c) 21 (d) 23
  22. 22.What is the average of 54, 74, 52, 70 and 45? (a) 59 (b) 60 (c) 61 (d) 58
  23. 23.What is the average of all the whole numbers from 50 to 76? (a) 13 (b) 63 (c) 26 (d) 64
  24. 24.What is the average of 29, 41, 26, 25, 41 and 12? (a) 31 (b) 28 (c) 30 (d) 29
  25. 25.What is the average of all the whole numbers from 47 to 73? (a) 13 (b) 26 (c) 60 (d) 61
  26. 26.What is the average of 62, 61, 80, 80, 88 and 67? (a) 74 (b) 75 (c) 73 (d) 72
  27. 27.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 37 (b) 36 (c) 39 (d) 79
  28. 28.What is the average of 67, 75, 66, 79 and 83? (a) 76 (b) 75 (c) 73 (d) 74
  29. 29.What is the average of 18, 38, 28, 45 and 36? (a) 33 (b) 35 (c) 34 (d) 32
  30. 30.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 61 (b) 32 (c) 50 (d) 21
  31. 31.What is the average of 17, 27, 14 and 34? (a) 23 (b) 25 (c) 24 (d) 22
  32. 32.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 54 (b) 47 (c) 68 (d) 28
  33. 33.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 28 (b) 39 (c) 26 (d) 15
  34. 34.What is the average of all the whole numbers from 23 to 35? (a) 29 (b) 12 (c) 6 (d) 30
  35. 35.What is the average of 37, 41, 14, 36 and 17? (a) 28 (b) 29 (c) 31 (d) 30
  36. 36.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 57 (c) 12 (d) 48
  37. 37.What is the average of 50, 20, 49, 24, 38 and 29? (a) 34 (b) 36 (c) 35 (d) 42
  38. 38.What is the average of 20, 27, 28, 34, 40 and 61? (a) 34 (b) 36 (c) 42 (d) 35
  39. 39.What is the average of all the whole numbers from 9 to 15? (a) 12 (b) 13 (c) 3 (d) 6
  40. 40.What is the average of 71, 73, 74, 73, 64 and 47? (a) 69 (b) 67 (c) 66 (d) 68

Answer key

  1. 54
  2. 27
  3. 73
  4. 42
  5. 79
  6. 33
  7. 52
  8. 59
  9. 37
  10. 18
  11. 38
  12. 45
  13. 73
  14. 81
  15. 61
  16. 20
  17. 51
  18. 71
  19. 41
  20. 80
  21. 22
  22. 59
  23. 63
  24. 29
  25. 60
  26. 73
  27. 36
  28. 74
  29. 33
  30. 50
  31. 23
  32. 68
  33. 39
  34. 29
  35. 29
  36. 57
  37. 35
  38. 35
  39. 12
  40. 67

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