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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 782 · 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 32 to 42? (a) 37 (b) 10 (c) 38 (d) 5
  2. 2.What is the average of 23, 41, 29, 40, 25 and 40? (a) 35 (b) 33 (c) 32 (d) 34
  3. 3.What is the average of 40, 44, 55 and 49? (a) 46 (b) 48 (c) 47 (d) 49
  4. 4.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 78 (c) 63 (d) 21
  5. 5.What is the average of all the whole numbers from 31 to 45? (a) 38 (b) 7 (c) 14 (d) 39
  6. 6.What is the average of all the whole numbers from 27 to 57? (a) 43 (b) 15 (c) 42 (d) 30
  7. 7.What is the average of 47, 72, 49, 44 and 73? (a) 56 (b) 58 (c) 59 (d) 57
  8. 8.What is the average of 17, 32, 18 and 33? (a) 24 (b) 25 (c) 27 (d) 26
  9. 9.What is the average of 50, 45, 67, 46 and 87? (a) 61 (b) 58 (c) 59 (d) 60
  10. 10.What is the average of all the whole numbers from 60 to 80? (a) 71 (b) 10 (c) 70 (d) 20
  11. 11.What is the average of 56, 60, 43, 54, 56 and 49? (a) 54 (b) 52 (c) 55 (d) 53
  12. 12.What is the average of 26, 45, 19, 27, 44 and 25? (a) 31 (b) 32 (c) 30 (d) 33
  13. 13.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 25 (b) 21 (c) 14 (d) 32
  14. 14.What is the average of 15, 32, 14, 11, 36 and 36? (a) 25 (b) 24 (c) 23 (d) 26
  15. 15.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 67? (a) 28 (b) 88 (c) 74 (d) 67
  16. 16.What is the average of all the whole numbers from 38 to 52? (a) 7 (b) 46 (c) 14 (d) 45
  17. 17.What is the average of 16, 36, 24, 13 and 26? (a) 23 (b) 24 (c) 25 (d) 22
  18. 18.What is the average of 50, 45, 57 and 20? (a) 42 (b) 45 (c) 43 (d) 44
  19. 19.What is the average of all the whole numbers from 42 to 64? (a) 11 (b) 22 (c) 54 (d) 53
  20. 20.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 23 (b) 22 (c) 13 (d) 12
  21. 21.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 16 (b) 40 (c) 34 (d) 22
  22. 22.What is the average of 81, 78, 81 and 72? (a) 79 (b) 78 (c) 77 (d) 104
  23. 23.What is the average of 76, 69, 53, 56 and 86? (a) 69 (b) 67 (c) 68 (d) 85
  24. 24.What is the average of all the whole numbers from 11 to 17? (a) 6 (b) 15 (c) 14 (d) 3
  25. 25.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 48 (c) 72 (d) 36
  26. 26.What is the average of all the whole numbers from 11 to 45? (a) 17 (b) 29 (c) 28 (d) 34
  27. 27.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 31 (b) 7 (c) 25 (d) 49
  28. 28.What is the average of all the whole numbers from 60 to 96? (a) 79 (b) 36 (c) 18 (d) 78
  29. 29.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 43 (c) 16 (d) 31
  30. 30.What is the average of 78, 82, 83, 67 and 60? (a) 76 (b) 73 (c) 75 (d) 74
  31. 31.What is the average of 30, 49, 56 and 45? (a) 60 (b) 44 (c) 45 (d) 46
  32. 32.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 65 (b) 45 (c) 25 (d) 30
  33. 33.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 16 (c) 61 (d) 94
  34. 34.What is the average of 46, 37, 27, 20, 34 and 34? (a) 35 (b) 33 (c) 32 (d) 34
  35. 35.What is the average of 49, 31, 50, 27, 25 and 58? (a) 39 (b) 40 (c) 41 (d) 48
  36. 36.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 35 (b) 31 (c) 61 (d) 57
  37. 37.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 63 (b) 61 (c) 67 (d) 8
  38. 38.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) 102 (b) 80 (c) 38 (d) 30
  39. 39.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 24 (b) 68 (c) 36 (d) 56
  40. 40.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 30 (b) 84 (c) 41 (d) 29

Answer key

  1. 37
  2. 33
  3. 47
  4. 78
  5. 38
  6. 42
  7. 57
  8. 25
  9. 59
  10. 70
  11. 53
  12. 31
  13. 32
  14. 24
  15. 88
  16. 45
  17. 23
  18. 43
  19. 53
  20. 22
  21. 34
  22. 78
  23. 68
  24. 14
  25. 72
  26. 28
  27. 31
  28. 78
  29. 43
  30. 74
  31. 45
  32. 65
  33. 61
  34. 33
  35. 40
  36. 61
  37. 67
  38. 102
  39. 56
  40. 29

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