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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 294 · 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 14 to 44? (a) 29 (b) 15 (c) 28 (d) 30
  2. 2.What is the average of all the whole numbers from 43 to 73? (a) 58 (b) 30 (c) 59 (d) 15
  3. 3.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 28 (c) 68 (d) 88
  4. 4.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 41? (a) 41 (b) 48 (c) 49 (d) 83
  5. 5.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 29 (c) 12 (d) 35
  6. 6.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 32? (a) 42 (b) 32 (c) 39 (d) 67
  7. 7.What is the average of all the whole numbers from 57 to 83? (a) 13 (b) 70 (c) 26 (d) 71
  8. 8.What is the average of 51, 63, 53, 46, 56 and 49? (a) 55 (b) 52 (c) 54 (d) 53
  9. 9.What is the average of 36, 45, 48, 21, 34 and 14? (a) 35 (b) 33 (c) 32 (d) 34
  10. 10.What is the average of 43, 62, 37 and 66? (a) 52 (b) 53 (c) 51 (d) 54
  11. 11.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 59 (b) 13 (c) 14 (d) 28
  12. 12.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 59 (c) 25 (d) 74
  13. 13.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 19 (b) 13 (c) 14 (d) 39
  14. 14.What is the average of 63, 91, 67 and 83? (a) 77 (b) 75 (c) 78 (d) 76
  15. 15.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 18 (b) 79 (c) 17 (d) 38
  16. 16.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 60 (c) 119 (d) 71
  17. 17.What is the average of all the whole numbers from 57 to 65? (a) 8 (b) 61 (c) 4 (d) 62
  18. 18.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 44 (b) 81 (c) 41 (d) 4
  19. 19.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 38 (c) 41 (d) 24
  20. 20.What is the average of 37, 38, 50, 46 and 49? (a) 44 (b) 45 (c) 43 (d) 55
  21. 21.What is the average of 46, 35, 29, 32 and 43? (a) 36 (b) 38 (c) 39 (d) 37
  22. 22.What is the average of 14, 18, 15, 21, 43 and 63? (a) 28 (b) 30 (c) 31 (d) 29
  23. 23.What is the average of all the whole numbers from 39 to 69? (a) 15 (b) 54 (c) 30 (d) 55
  24. 24.What is the average of 42, 20, 17, 20 and 61? (a) 40 (b) 31 (c) 33 (d) 32
  25. 25.What is the average of all the whole numbers from 37 to 53? (a) 8 (b) 45 (c) 46 (d) 16
  26. 26.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 29 (b) 15 (c) 4 (d) 18
  27. 27.What is the average of all the whole numbers from 53 to 67? (a) 60 (b) 14 (c) 7 (d) 61
  28. 28.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 15 (b) 36 (c) 24 (d) 45
  29. 29.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 56 (b) 45 (c) 91 (d) 51
  30. 30.What is the average of 73, 84, 81, 80, 69 and 75? (a) 76 (b) 79 (c) 77 (d) 78
  31. 31.What is the average of 64, 47, 40, 61 and 63? (a) 54 (b) 56 (c) 55 (d) 57
  32. 32.What is the average of 67, 87, 87, 71, 81 and 81? (a) 80 (b) 79 (c) 78 (d) 81
  33. 33.What is the average of all the whole numbers from 19 to 27? (a) 4 (b) 23 (c) 24 (d) 8
  34. 34.What is the average of all the whole numbers from 28 to 60? (a) 32 (b) 45 (c) 16 (d) 44
  35. 35.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 40 (b) 66 (c) 65 (d) 35
  36. 36.What is the average of 63, 61, 69, 54 and 38? (a) 56 (b) 58 (c) 59 (d) 57
  37. 37.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 42 (b) 88 (c) 22 (d) 23
  38. 38.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 30 (b) 35 (c) 71 (d) 31
  39. 39.What is the average of all the whole numbers from 57 to 73? (a) 66 (b) 8 (c) 65 (d) 16
  40. 40.What is the average of 15, 31, 25 and 17? (a) 23 (b) 21 (c) 22 (d) 24

Answer key

  1. 29
  2. 58
  3. 88
  4. 83
  5. 35
  6. 67
  7. 70
  8. 53
  9. 33
  10. 52
  11. 13
  12. 74
  13. 13
  14. 76
  15. 17
  16. 119
  17. 61
  18. 44
  19. 41
  20. 44
  21. 37
  22. 29
  23. 54
  24. 32
  25. 45
  26. 18
  27. 60
  28. 36
  29. 91
  30. 77
  31. 55
  32. 79
  33. 23
  34. 44
  35. 65
  36. 57
  37. 22
  38. 30
  39. 65
  40. 22

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