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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 692 · 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 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 55 (b) 52 (c) 21 (d) 70
  2. 2.A batter has an average of 42 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 46 (b) 56 (c) 44 (d) 14
  3. 3.What is the average of 74, 68, 88, 81, 70 and 69? (a) 90 (b) 74 (c) 75 (d) 76
  4. 4.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 33 (c) 12 (d) 39
  5. 5.The average of 5 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) 41 (d) 40
  6. 6.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 79 (c) 54 (d) 37
  7. 7.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 22 (b) 49 (c) 21 (d) 102
  8. 8.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 60 (c) 81 (d) 35
  9. 9.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 60 (b) 72 (c) 120 (d) 66
  10. 10.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 57? (a) 57 (b) 59 (c) 18 (d) 73
  11. 11.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 12 (b) 45 (c) 36 (d) 69
  12. 12.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) 83 (b) 63 (c) 25 (d) 68
  13. 13.What is the average of all the whole numbers from 35 to 49? (a) 42 (b) 14 (c) 43 (d) 7
  14. 14.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 37 (b) 16 (c) 70 (d) 49
  15. 15.What is the average of all the whole numbers from 32 to 42? (a) 38 (b) 10 (c) 37 (d) 5
  16. 16.What is the average of 46, 53, 50, 64, 43 and 62? (a) 55 (b) 54 (c) 52 (d) 53
  17. 17.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 69 (b) 34 (c) 29 (d) 45
  18. 18.What is the average of all the whole numbers from 51 to 81? (a) 15 (b) 66 (c) 30 (d) 67
  19. 19.What is the average of 19, 35, 41 and 37? (a) 34 (b) 44 (c) 32 (d) 33
  20. 20.What is the average of 12, 36, 41, 26 and 15? (a) 27 (b) 25 (c) 26 (d) 28
  21. 21.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 10 (b) 39 (c) 9 (d) 18
  22. 22.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 7 (b) 40 (c) 79 (d) 46
  23. 23.What is the average of 69, 83, 70 and 70? (a) 73 (b) 72 (c) 74 (d) 75
  24. 24.What is the average of 58, 57, 68 and 85? (a) 68 (b) 66 (c) 69 (d) 67
  25. 25.What is the average of 38, 33, 39, 42, 38 and 50? (a) 41 (b) 48 (c) 40 (d) 39
  26. 26.What is the average of 32, 37, 28, 20 and 13? (a) 28 (b) 27 (c) 26 (d) 25
  27. 27.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 66 (c) 40 (d) 90
  28. 28.What is the average of 46, 46, 36, 27 and 30? (a) 37 (b) 38 (c) 36 (d) 39
  29. 29.What is the average of 43, 20, 27, 37 and 23? (a) 31 (b) 29 (c) 32 (d) 30
  30. 30.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 61 (b) 47 (c) 26 (d) 40
  31. 31.What is the average of 31, 42, 33 and 10? (a) 28 (b) 31 (c) 29 (d) 30
  32. 32.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 38 (b) 78 (c) 33 (d) 32
  33. 33.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 61 (b) 56 (c) 101 (d) 50
  34. 34.What is the average of all the whole numbers from 15 to 21? (a) 6 (b) 19 (c) 18 (d) 3
  35. 35.What is the average of all the whole numbers from 34 to 58? (a) 24 (b) 12 (c) 46 (d) 47
  36. 36.What is the average of 39, 18, 36 and 7? (a) 25 (b) 24 (c) 26 (d) 27
  37. 37.What is the average of 43, 45, 39, 32 and 46? (a) 40 (b) 43 (c) 41 (d) 42
  38. 38.What is the average of 42, 57, 71, 59, 62 and 45? (a) 57 (b) 55 (c) 56 (d) 58
  39. 39.What is the average of 47, 72, 45 and 72? (a) 60 (b) 58 (c) 61 (d) 59
  40. 40.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 79 (b) 61 (c) 20 (d) 63

Answer key

  1. 70
  2. 56
  3. 75
  4. 39
  5. 40
  6. 79
  7. 21
  8. 81
  9. 120
  10. 73
  11. 45
  12. 83
  13. 42
  14. 49
  15. 37
  16. 53
  17. 69
  18. 66
  19. 33
  20. 26
  21. 9
  22. 46
  23. 73
  24. 67
  25. 40
  26. 26
  27. 90
  28. 37
  29. 30
  30. 61
  31. 29
  32. 32
  33. 101
  34. 18
  35. 46
  36. 25
  37. 41
  38. 56
  39. 59
  40. 79

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