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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 396 · 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 65, 70, 56, 63 and 41? (a) 61 (b) 59 (c) 58 (d) 60
  2. 2.What is the average of all the whole numbers from 31 to 61? (a) 47 (b) 15 (c) 46 (d) 30
  3. 3.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 30 (b) 15 (c) 25 (d) 10
  4. 4.What is the average of all the whole numbers from 25 to 61? (a) 18 (b) 44 (c) 43 (d) 36
  5. 5.What is the average of all the whole numbers from 48 to 62? (a) 55 (b) 14 (c) 7 (d) 56
  6. 6.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 92 (b) 64 (c) 44 (d) 36
  7. 7.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 120 (c) 72 (d) 64
  8. 8.What is the average of all the whole numbers from 16 to 54? (a) 35 (b) 36 (c) 38 (d) 19
  9. 9.What is the average of all the whole numbers from 25 to 55? (a) 30 (b) 41 (c) 15 (d) 40
  10. 10.What is the average of 83, 64, 84, 70, 67 and 52? (a) 70 (b) 71 (c) 84 (d) 69
  11. 11.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 56 (b) 82 (c) 34 (d) 42
  12. 12.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 65 (b) 20 (c) 94 (d) 49
  13. 13.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 16 (b) 46 (c) 54 (d) 42
  14. 14.What is the average of 76, 70, 86 and 84? (a) 78 (b) 81 (c) 80 (d) 79
  15. 15.What is the average of 59, 41, 37, 39 and 74? (a) 52 (b) 51 (c) 49 (d) 50
  16. 16.What is the average of all the whole numbers from 50 to 74? (a) 63 (b) 12 (c) 62 (d) 24
  17. 17.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 37 (c) 30 (d) 46
  18. 18.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 5 (b) 32 (c) 63 (d) 36
  19. 19.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 65? (a) 73 (b) 48 (c) 65 (d) 105
  20. 20.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 30 (b) 70 (c) 50 (d) 45
  21. 21.What is the average of all the whole numbers from 56 to 68? (a) 63 (b) 6 (c) 62 (d) 12
  22. 22.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 47 (b) 99 (c) 22 (d) 23
  23. 23.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 44 (b) 6 (c) 87 (d) 49
  24. 24.What is the average of 29, 29, 59, 54 and 49? (a) 55 (b) 45 (c) 44 (d) 43
  25. 25.What is the average of 70, 61, 63 and 82? (a) 69 (b) 92 (c) 68 (d) 70
  26. 26.What is the average of 56, 59, 68, 51 and 96? (a) 66 (b) 67 (c) 68 (d) 65
  27. 27.What is the average of 62, 89, 72, 62, 78 and 87? (a) 74 (b) 75 (c) 90 (d) 76
  28. 28.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 12 (b) 37 (c) 40 (d) 46
  29. 29.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 45 (b) 55 (c) 88 (d) 12
  30. 30.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 20 (b) 26 (c) 15 (d) 31
  31. 31.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 34? (a) 12 (b) 44 (c) 36 (d) 34
  32. 32.What is the average of all the whole numbers from 38 to 68? (a) 54 (b) 15 (c) 30 (d) 53
  33. 33.What is the average of 17, 23, 37, 21 and 62? (a) 31 (b) 32 (c) 40 (d) 33
  34. 34.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 49 (b) 37 (c) 14 (d) 72
  35. 35.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 35 (b) 49 (c) 16 (d) 68
  36. 36.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 63 (b) 8 (c) 32 (d) 39
  37. 37.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 92 (b) 52 (c) 57 (d) 45
  38. 38.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 40 (b) 71 (c) 5 (d) 36
  39. 39.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 7 (b) 11 (c) 23 (d) 6
  40. 40.What is the average of all the whole numbers from 52 to 84? (a) 69 (b) 32 (c) 16 (d) 68

Answer key

  1. 59
  2. 46
  3. 30
  4. 43
  5. 55
  6. 92
  7. 120
  8. 35
  9. 40
  10. 70
  11. 82
  12. 65
  13. 54
  14. 79
  15. 50
  16. 62
  17. 46
  18. 36
  19. 105
  20. 70
  21. 62
  22. 22
  23. 49
  24. 44
  25. 69
  26. 66
  27. 75
  28. 46
  29. 55
  30. 31
  31. 44
  32. 53
  33. 32
  34. 49
  35. 49
  36. 39
  37. 92
  38. 40
  39. 6
  40. 68

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