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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 372 · 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 55, 46, 45 and 34? (a) 45 (b) 46 (c) 60 (d) 44
  2. 2.What is the average of all the whole numbers from 25 to 39? (a) 14 (b) 32 (c) 7 (d) 33
  3. 3.What is the average of all the whole numbers from 15 to 33? (a) 18 (b) 25 (c) 9 (d) 24
  4. 4.What is the average of all the whole numbers from 15 to 29? (a) 22 (b) 14 (c) 23 (d) 7
  5. 5.What is the average of all the whole numbers from 48 to 60? (a) 12 (b) 54 (c) 6 (d) 55
  6. 6.What is the average of all the whole numbers from 21 to 49? (a) 28 (b) 14 (c) 36 (d) 35
  7. 7.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 68 (b) 42 (c) 61 (d) 96
  8. 8.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 46 (b) 35 (c) 16 (d) 27
  9. 9.What is the average of 92, 67, 89 and 68? (a) 79 (b) 81 (c) 78 (d) 80
  10. 10.What is the average of all the whole numbers from 46 to 72? (a) 59 (b) 60 (c) 26 (d) 13
  11. 11.What is the average of 59, 68, 50, 73, 60 and 38? (a) 59 (b) 60 (c) 58 (d) 57
  12. 12.What is the average of 40, 53, 44 and 27? (a) 40 (b) 41 (c) 43 (d) 42
  13. 13.What is the average of all the whole numbers from 42 to 76? (a) 34 (b) 60 (c) 59 (d) 17
  14. 14.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 77 (b) 40 (c) 24 (d) 61
  15. 15.What is the average of 31, 36, 21, 17 and 30? (a) 29 (b) 27 (c) 26 (d) 28
  16. 16.What is the average of all the whole numbers from 23 to 35? (a) 6 (b) 29 (c) 12 (d) 30
  17. 17.What is the average of all the whole numbers from 19 to 41? (a) 30 (b) 31 (c) 11 (d) 22
  18. 18.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 44 (b) 12 (c) 23 (d) 33
  19. 19.What is the average of 35, 45, 48, 23, 49 and 4? (a) 34 (b) 35 (c) 36 (d) 33
  20. 20.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 41 (b) 81 (c) 6 (d) 46
  21. 21.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 38? (a) 43 (b) 38 (c) 45 (d) 78
  22. 22.What is the average of 33, 28, 44, 16 and 24? (a) 29 (b) 31 (c) 28 (d) 30
  23. 23.What is the average of 57, 36, 50, 33 and 59? (a) 46 (b) 49 (c) 47 (d) 48
  24. 24.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 37 (b) 21 (c) 34 (d) 52
  25. 25.What is the average of all the whole numbers from 6 to 14? (a) 10 (b) 8 (c) 4 (d) 11
  26. 26.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 29 (b) 44 (c) 30 (d) 93
  27. 27.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 24 (b) 13 (c) 19 (d) 8
  28. 28.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 57 (b) 36 (c) 29 (d) 25
  29. 29.What is the average of all the whole numbers from 43 to 73? (a) 59 (b) 58 (c) 30 (d) 15
  30. 30.What is the average of 68, 68, 59 and 45? (a) 80 (b) 59 (c) 60 (d) 61
  31. 31.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 101 (b) 49 (c) 28 (d) 29
  32. 32.What is the average of 57, 67, 56 and 104? (a) 70 (b) 73 (c) 71 (d) 72
  33. 33.A batter has an average of 60 runs in 4 matches. How many runs are needed in the next match to raise the average to 68? (a) 40 (b) 100 (c) 76 (d) 68
  34. 34.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 39 (b) 73 (c) 40 (d) 74
  35. 35.A batter has an average of 25 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 33 (b) 40 (c) 65 (d) 29
  36. 36.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 33? (a) 33 (b) 60 (c) 36 (d) 30
  37. 37.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 50 (b) 35 (c) 65 (d) 20
  38. 38.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 43 (b) 18 (c) 30 (d) 31
  39. 39.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 20 (b) 40 (c) 32 (d) 12
  40. 40.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 39 (b) 55 (c) 20 (d) 37

Answer key

  1. 45
  2. 32
  3. 24
  4. 22
  5. 54
  6. 35
  7. 96
  8. 46
  9. 79
  10. 59
  11. 58
  12. 41
  13. 59
  14. 61
  15. 27
  16. 29
  17. 30
  18. 33
  19. 34
  20. 46
  21. 78
  22. 29
  23. 47
  24. 52
  25. 10
  26. 29
  27. 19
  28. 57
  29. 58
  30. 60
  31. 28
  32. 71
  33. 100
  34. 74
  35. 65
  36. 60
  37. 50
  38. 43
  39. 40
  40. 55

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