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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 628 · 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.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 31? (a) 31 (b) 37 (c) 73 (d) 48
  2. 2.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 12 (b) 27 (c) 59 (d) 13
  3. 3.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 91 (b) 36 (c) 59 (d) 63
  4. 4.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 45 (b) 30 (c) 70 (d) 85
  5. 5.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 18 (b) 22 (c) 5 (d) 35
  6. 6.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 40 (b) 75 (c) 35 (d) 45
  7. 7.What is the average of 83, 88, 80, 84, 68 and 47? (a) 90 (b) 76 (c) 75 (d) 74
  8. 8.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 48 (b) 95 (c) 52 (d) 5
  9. 9.What is the average of 64, 81, 91, 68, 73 and 85? (a) 79 (b) 77 (c) 78 (d) 76
  10. 10.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 58? (a) 56 (b) 65 (c) 107 (d) 58
  11. 11.What is the average of 24, 32, 31 and 45? (a) 33 (b) 32 (c) 34 (d) 44
  12. 12.What is the average of all the whole numbers from 25 to 47? (a) 22 (b) 37 (c) 11 (d) 36
  13. 13.What is the average of all the whole numbers from 20 to 40? (a) 31 (b) 20 (c) 10 (d) 30
  14. 14.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 63? (a) 25 (b) 68 (c) 63 (d) 83
  15. 15.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 42 (b) 96 (c) 60 (d) 66
  16. 16.What is the average of 23, 23, 41 and 25? (a) 27 (b) 30 (c) 29 (d) 28
  17. 17.What is the average of all the whole numbers from 52 to 66? (a) 60 (b) 7 (c) 59 (d) 14
  18. 18.What is the average of all the whole numbers from 26 to 34? (a) 4 (b) 8 (c) 30 (d) 31
  19. 19.What is the average of 60, 63, 71 and 94? (a) 71 (b) 73 (c) 96 (d) 72
  20. 20.What is the average of all the whole numbers from 30 to 52? (a) 22 (b) 11 (c) 41 (d) 42
  21. 21.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 55 (b) 31 (c) 28 (d) 58
  22. 22.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 56 (c) 78 (d) 38
  23. 23.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 44 (b) 89 (c) 38 (d) 37
  24. 24.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 42 (b) 14 (c) 32 (d) 24
  25. 25.What is the average of all the whole numbers from 31 to 67? (a) 36 (b) 18 (c) 49 (d) 50
  26. 26.What is the average of all the whole numbers from 50 to 90? (a) 71 (b) 20 (c) 40 (d) 70
  27. 27.What is the average of all the whole numbers from 39 to 49? (a) 44 (b) 5 (c) 45 (d) 10
  28. 28.What is the average of 58, 66, 76 and 68? (a) 68 (b) 67 (c) 66 (d) 69
  29. 29.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 37? (a) 79 (b) 44 (c) 49 (d) 37
  30. 30.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 28 (b) 25 (c) 24 (d) 46
  31. 31.The average of 5 numbers is 33. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 45 (b) 15 (c) 63 (d) 33
  32. 32.What is the average of all the whole numbers from 35 to 59? (a) 48 (b) 24 (c) 47 (d) 12
  33. 33.What is the average of 54, 62, 32, 50 and 37? (a) 48 (b) 46 (c) 47 (d) 49
  34. 34.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 67? (a) 63 (b) 123 (c) 67 (d) 74
  35. 35.What is the average of 57, 42, 56, 35 and 35? (a) 45 (b) 44 (c) 47 (d) 46
  36. 36.What is the average of 59, 54, 43 and 40? (a) 48 (b) 49 (c) 51 (d) 50
  37. 37.What is the average of 72, 74, 58, 48 and 43? (a) 60 (b) 58 (c) 59 (d) 61
  38. 38.What is the average of all the whole numbers from 60 to 70? (a) 66 (b) 65 (c) 5 (d) 10
  39. 39.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 10 (b) 22 (c) 17 (d) 15
  40. 40.What is the average of all the whole numbers from 60 to 68? (a) 4 (b) 65 (c) 64 (d) 8

Answer key

  1. 73
  2. 12
  3. 91
  4. 70
  5. 22
  6. 75
  7. 75
  8. 52
  9. 77
  10. 107
  11. 33
  12. 36
  13. 30
  14. 83
  15. 96
  16. 28
  17. 59
  18. 30
  19. 72
  20. 41
  21. 55
  22. 78
  23. 37
  24. 42
  25. 49
  26. 70
  27. 44
  28. 67
  29. 79
  30. 46
  31. 45
  32. 47
  33. 47
  34. 123
  35. 45
  36. 49
  37. 59
  38. 65
  39. 22
  40. 64

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