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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 838 · 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 8 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 56 (b) 30 (c) 58 (d) 32
  2. 2.What is the average of 66, 94, 76, 72, 83 and 89? (a) 96 (b) 80 (c) 79 (d) 81
  3. 3.What is the average of all the whole numbers from 32 to 60? (a) 28 (b) 46 (c) 47 (d) 14
  4. 4.What is the average of all the whole numbers from 32 to 52? (a) 43 (b) 20 (c) 10 (d) 42
  5. 5.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 41 (b) 24 (c) 37 (d) 20
  6. 6.The average of 5 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 42 (b) 13 (c) 12 (d) 20
  7. 7.What is the average of 33, 30, 46, 51, 40 and 58? (a) 45 (b) 42 (c) 43 (d) 44
  8. 8.What is the average of 52, 29, 52, 48 and 24? (a) 41 (b) 40 (c) 42 (d) 43
  9. 9.What is the average of all the whole numbers from 57 to 87? (a) 72 (b) 73 (c) 30 (d) 15
  10. 10.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 20 (b) 49 (c) 27 (d) 42
  11. 11.What is the average of 17, 14, 10 and 59? (a) 25 (b) 27 (c) 26 (d) 24
  12. 12.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 67 (b) 32 (c) 18 (d) 17
  13. 13.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 45 (b) 88 (c) 57 (d) 14
  14. 14.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 42 (b) 100 (c) 41 (d) 49
  15. 15.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 6 (b) 54 (c) 25 (d) 5
  16. 16.What is the average of 56, 48, 56, 52, 52 and 84? (a) 59 (b) 60 (c) 57 (d) 58
  17. 17.What is the average of 60, 82, 63, 81, 68 and 66? (a) 69 (b) 71 (c) 84 (d) 70
  18. 18.What is the average of 75, 71, 64 and 94? (a) 76 (b) 75 (c) 77 (d) 78
  19. 19.A batter has an average of 42 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 62 (b) 46 (c) 20 (d) 50
  20. 20.What is the average of all the whole numbers from 60 to 72? (a) 67 (b) 66 (c) 12 (d) 6
  21. 21.What is the average of 41, 56, 31, 54 and 28? (a) 44 (b) 43 (c) 42 (d) 41
  22. 22.What is the average of all the whole numbers from 16 to 36? (a) 27 (b) 20 (c) 10 (d) 26
  23. 23.A batter has an average of 41 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 97 (c) 56 (d) 55
  24. 24.What is the average of all the whole numbers from 20 to 38? (a) 29 (b) 9 (c) 18 (d) 30
  25. 25.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 27 (b) 63 (c) 60 (d) 84
  26. 26.What is the average of 53, 51, 30, 35 and 36? (a) 42 (b) 40 (c) 43 (d) 41
  27. 27.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 48 (b) 10 (c) 11 (d) 22
  28. 28.What is the average of all the whole numbers from 24 to 46? (a) 11 (b) 36 (c) 35 (d) 22
  29. 29.What is the average of 52, 65, 69, 46 and 58? (a) 60 (b) 57 (c) 59 (d) 58
  30. 30.What is the average of all the whole numbers from 12 to 44? (a) 28 (b) 16 (c) 32 (d) 29
  31. 31.What is the average of 89, 89, 64, 67, 89 and 70? (a) 77 (b) 78 (c) 79 (d) 80
  32. 32.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 27 (b) 35 (c) 49 (d) 57
  33. 33.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 63? (a) 66 (b) 81 (c) 21 (d) 63
  34. 34.What is the average of 57, 56, 38 and 45? (a) 50 (b) 51 (c) 49 (d) 48
  35. 35.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 39? (a) 30 (b) 45 (c) 63 (d) 39
  36. 36.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 31 (b) 81 (c) 39 (d) 30
  37. 37.What is the average of 84, 88, 72 and 76? (a) 81 (b) 82 (c) 79 (d) 80
  38. 38.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 85 (b) 21 (c) 62 (d) 44
  39. 39.What is the average of all the whole numbers from 9 to 17? (a) 8 (b) 14 (c) 4 (d) 13
  40. 40.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 55 (b) 8 (c) 49 (d) 51

Answer key

  1. 58
  2. 80
  3. 46
  4. 42
  5. 41
  6. 12
  7. 43
  8. 41
  9. 72
  10. 42
  11. 25
  12. 17
  13. 57
  14. 41
  15. 5
  16. 58
  17. 70
  18. 76
  19. 62
  20. 66
  21. 42
  22. 26
  23. 97
  24. 29
  25. 84
  26. 41
  27. 10
  28. 35
  29. 58
  30. 28
  31. 78
  32. 57
  33. 81
  34. 49
  35. 63
  36. 30
  37. 80
  38. 62
  39. 13
  40. 55

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