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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 868 · 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.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 103 (b) 50 (c) 41 (d) 42
  2. 2.What is the average of all the whole numbers from 6 to 44? (a) 26 (b) 19 (c) 38 (d) 25
  3. 3.What is the average of all the whole numbers from 19 to 49? (a) 35 (b) 30 (c) 15 (d) 34
  4. 4.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 66 (c) 11 (d) 12
  5. 5.What is the average of 51, 76, 55, 51 and 82? (a) 64 (b) 65 (c) 63 (d) 62
  6. 6.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 22 (b) 58 (c) 23 (d) 28
  7. 7.A batter has an average of 46 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 58 (b) 49 (c) 12 (d) 52
  8. 8.What is the average of all the whole numbers from 5 to 37? (a) 22 (b) 21 (c) 16 (d) 32
  9. 9.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 40 (b) 75 (c) 70 (d) 35
  10. 10.What is the average of all the whole numbers from 44 to 78? (a) 17 (b) 34 (c) 61 (d) 62
  11. 11.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 35 (b) 63 (c) 91 (d) 70
  12. 12.What is the average of 54, 58, 68, 81 and 79? (a) 67 (b) 85 (c) 68 (d) 69
  13. 13.What is the average of 87, 69, 86 and 78? (a) 80 (b) 82 (c) 79 (d) 81
  14. 14.What is the average of 36, 56, 42, 30 and 56? (a) 55 (b) 44 (c) 45 (d) 43
  15. 15.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 32 (b) 55 (c) 83 (d) 59
  16. 16.What is the average of all the whole numbers from 56 to 90? (a) 73 (b) 17 (c) 74 (d) 34
  17. 17.What is the average of all the whole numbers from 31 to 55? (a) 44 (b) 24 (c) 43 (d) 12
  18. 18.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 97 (b) 16 (c) 17 (d) 46
  19. 19.What is the average of 44, 36, 21, 48, 37 and 30? (a) 35 (b) 37 (c) 38 (d) 36
  20. 20.What is the average of 94, 75, 71, 71 and 84? (a) 79 (b) 81 (c) 78 (d) 80
  21. 21.What is the average of all the whole numbers from 46 to 68? (a) 22 (b) 11 (c) 57 (d) 58
  22. 22.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 74 (b) 42 (c) 48 (d) 34
  23. 23.What is the average of all the whole numbers from 28 to 54? (a) 42 (b) 13 (c) 26 (d) 41
  24. 24.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 36 (c) 60 (d) 40
  25. 25.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 65 (b) 10 (c) 30 (d) 11
  26. 26.What is the average of 34, 35, 42 and 65? (a) 43 (b) 44 (c) 46 (d) 45
  27. 27.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 54 (b) 24 (c) 66 (d) 48
  28. 28.What is the average of 24, 31, 46 and 31? (a) 44 (b) 32 (c) 33 (d) 34
  29. 29.What is the average of 15, 31, 9, 12 and 43? (a) 23 (b) 24 (c) 21 (d) 22
  30. 30.What is the average of 27, 14, 23, 17, 24 and 51? (a) 25 (b) 26 (c) 27 (d) 28
  31. 31.What is the average of all the whole numbers from 50 to 74? (a) 24 (b) 12 (c) 63 (d) 62
  32. 32.What is the average of 72, 64, 56, 70, 55 and 61? (a) 63 (b) 65 (c) 64 (d) 62
  33. 33.What is the average of 20, 33, 29 and 10? (a) 25 (b) 22 (c) 24 (d) 23
  34. 34.What is the average of 37, 42, 48 and 5? (a) 32 (b) 34 (c) 33 (d) 44
  35. 35.What is the average of 31, 30, 44 and 51? (a) 38 (b) 52 (c) 40 (d) 39
  36. 36.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 24 (c) 81 (d) 69
  37. 37.What is the average of all the whole numbers from 55 to 69? (a) 7 (b) 14 (c) 62 (d) 63
  38. 38.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 70 (c) 30 (d) 88
  39. 39.What is the average of 14, 11, 38, 41, 19 and 33? (a) 26 (b) 28 (c) 27 (d) 25
  40. 40.What is the average of 65, 69, 69 and 97? (a) 100 (b) 75 (c) 76 (d) 74

Answer key

  1. 41
  2. 25
  3. 34
  4. 11
  5. 63
  6. 22
  7. 58
  8. 21
  9. 70
  10. 61
  11. 91
  12. 68
  13. 80
  14. 44
  15. 83
  16. 73
  17. 43
  18. 16
  19. 36
  20. 79
  21. 57
  22. 74
  23. 41
  24. 60
  25. 10
  26. 44
  27. 66
  28. 33
  29. 22
  30. 26
  31. 62
  32. 63
  33. 23
  34. 33
  35. 39
  36. 81
  37. 62
  38. 88
  39. 26
  40. 75

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