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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 356 · 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 5 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 83 (b) 29 (c) 40 (d) 28
  2. 2.What is the average of 64, 82, 73, 73 and 58? (a) 71 (b) 70 (c) 69 (d) 72
  3. 3.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 90 (b) 43 (c) 16 (d) 15
  4. 4.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 16 (b) 40 (c) 21 (d) 35
  5. 5.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 18 (b) 40 (c) 37 (d) 52
  6. 6.What is the average of 75, 90, 67, 81, 69 and 74? (a) 78 (b) 75 (c) 76 (d) 77
  7. 7.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) 67 (c) 74 (d) 88
  8. 8.What is the average of all the whole numbers from 52 to 90? (a) 71 (b) 19 (c) 38 (d) 72
  9. 9.What is the average of 62, 42, 51 and 57? (a) 55 (b) 52 (c) 53 (d) 54
  10. 10.What is the average of all the whole numbers from 28 to 66? (a) 19 (b) 38 (c) 48 (d) 47
  11. 11.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 40 (b) 46 (c) 81 (d) 87
  12. 12.What is the average of all the whole numbers from 60 to 90? (a) 30 (b) 76 (c) 75 (d) 15
  13. 13.What is the average of all the whole numbers from 58 to 92? (a) 34 (b) 75 (c) 17 (d) 76
  14. 14.What is the average of all the whole numbers from 25 to 59? (a) 34 (b) 42 (c) 17 (d) 43
  15. 15.What is the average of 71, 52, 55 and 86? (a) 66 (b) 65 (c) 67 (d) 88
  16. 16.What is the average of all the whole numbers from 53 to 71? (a) 9 (b) 62 (c) 18 (d) 63
  17. 17.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 50 (b) 60 (c) 98 (d) 12
  18. 18.What is the average of 23, 22, 13, 15 and 37? (a) 22 (b) 21 (c) 24 (d) 23
  19. 19.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 39 (b) 75 (c) 54 (d) 18
  20. 20.What is the average of 48, 50, 52, 46 and 59? (a) 50 (b) 51 (c) 53 (d) 52
  21. 21.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 61? (a) 48 (b) 61 (c) 67 (d) 103
  22. 22.What is the average of 22, 35, 26, 23, 16 and 10? (a) 23 (b) 22 (c) 21 (d) 24
  23. 23.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 39 (b) 35 (c) 16 (d) 47
  24. 24.What is the average of all the whole numbers from 39 to 69? (a) 55 (b) 54 (c) 15 (d) 30
  25. 25.What is the average of all the whole numbers from 34 to 44? (a) 40 (b) 39 (c) 5 (d) 10
  26. 26.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 63 (b) 48 (c) 104 (d) 55
  27. 27.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 20 (b) 54 (c) 64 (d) 49
  28. 28.What is the average of 53, 36, 36 and 63? (a) 48 (b) 46 (c) 49 (d) 47
  29. 29.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 31 (b) 24 (c) 49 (d) 28
  30. 30.What is the average of 29, 5, 5, 32 and 29? (a) 21 (b) 19 (c) 20 (d) 25
  31. 31.What is the average of 51, 53, 63, 54 and 94? (a) 64 (b) 63 (c) 65 (d) 62
  32. 32.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) 64 (b) 92 (c) 36 (d) 44
  33. 33.What is the average of 85, 62, 90, 63 and 75? (a) 77 (b) 74 (c) 75 (d) 76
  34. 34.What is the average of 83, 73, 72 and 60? (a) 96 (b) 72 (c) 71 (d) 73
  35. 35.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 44 (b) 30 (c) 19 (d) 33
  36. 36.What is the average of all the whole numbers from 49 to 87? (a) 38 (b) 69 (c) 19 (d) 68
  37. 37.What is the average of 66, 83, 80, 58, 57 and 70? (a) 70 (b) 69 (c) 71 (d) 68
  38. 38.What is the average of 38, 35, 50, 36, 45 and 78? (a) 49 (b) 47 (c) 46 (d) 48
  39. 39.What is the average of 52, 60, 60 and 12? (a) 45 (b) 46 (c) 48 (d) 47
  40. 40.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 42 (c) 73 (d) 43

Answer key

  1. 28
  2. 70
  3. 15
  4. 35
  5. 52
  6. 76
  7. 88
  8. 71
  9. 53
  10. 47
  11. 81
  12. 75
  13. 75
  14. 42
  15. 66
  16. 62
  17. 60
  18. 22
  19. 54
  20. 51
  21. 103
  22. 22
  23. 47
  24. 54
  25. 39
  26. 104
  27. 64
  28. 47
  29. 49
  30. 20
  31. 63
  32. 92
  33. 75
  34. 72
  35. 44
  36. 68
  37. 69
  38. 47
  39. 46
  40. 73

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