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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 556 · 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.What is the average of all the whole numbers from 9 to 25? (a) 17 (b) 16 (c) 8 (d) 18
  2. 2.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 47 (b) 36 (c) 43 (d) 75
  3. 3.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 50 (c) 24 (d) 68
  4. 4.A batter has an average of 39 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 25 (c) 64 (d) 49
  5. 5.What is the average of 92, 70, 65 and 85? (a) 104 (b) 78 (c) 77 (d) 79
  6. 6.What is the average of all the whole numbers from 53 to 83? (a) 69 (b) 30 (c) 15 (d) 68
  7. 7.What is the average of 28, 40, 58 and 46? (a) 42 (b) 45 (c) 44 (d) 43
  8. 8.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 12 (b) 45 (c) 35 (d) 68
  9. 9.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 6 (b) 30 (c) 64 (d) 7
  10. 10.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 28 (b) 15 (c) 40 (d) 53
  11. 11.The average of 6 numbers is 20. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 30 (c) 12 (d) 38
  12. 12.What is the average of 41, 35, 22, 35, 23 and 36? (a) 31 (b) 32 (c) 33 (d) 34
  13. 13.What is the average of 72, 73, 72 and 39? (a) 66 (b) 65 (c) 64 (d) 63
  14. 14.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 89 (b) 45 (c) 7 (d) 51
  15. 15.What is the average of all the whole numbers from 58 to 76? (a) 68 (b) 18 (c) 67 (d) 9
  16. 16.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 16 (b) 22 (c) 40 (d) 34
  17. 17.What is the average of all the whole numbers from 58 to 90? (a) 75 (b) 32 (c) 74 (d) 16
  18. 18.What is the average of 59, 41, 34 and 58? (a) 49 (b) 47 (c) 64 (d) 48
  19. 19.What is the average of 73, 81, 88 and 62? (a) 76 (b) 75 (c) 78 (d) 77
  20. 20.What is the average of 36, 39, 60 and 65? (a) 51 (b) 49 (c) 52 (d) 50
  21. 21.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 33 (b) 9 (c) 71 (d) 8
  22. 22.What is the average of 32, 40, 36, 39, 20 and 37? (a) 36 (b) 35 (c) 34 (d) 33
  23. 23.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 18 (b) 70 (c) 56 (d) 54
  24. 24.What is the average of 53, 37, 49, 52, 29 and 20? (a) 41 (b) 39 (c) 48 (d) 40
  25. 25.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 8 (b) 23 (c) 32 (d) 17
  26. 26.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 37? (a) 14 (b) 49 (c) 37 (d) 39
  27. 27.What is the average of 53, 49, 61, 66, 40 and 55? (a) 56 (b) 55 (c) 54 (d) 53
  28. 28.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 53 (c) 10 (d) 47
  29. 29.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 11 (b) 25 (c) 20 (d) 16
  30. 30.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 66 (b) 50 (c) 96 (d) 20
  31. 31.What is the average of all the whole numbers from 30 to 50? (a) 20 (b) 41 (c) 40 (d) 10
  32. 32.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 33? (a) 50 (b) 78 (c) 33 (d) 38
  33. 33.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 47 (b) 24 (c) 98 (d) 23
  34. 34.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 43 (b) 50 (c) 102 (d) 42
  35. 35.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 37 (b) 76 (c) 30 (d) 29
  36. 36.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) 57 (b) 14 (c) 45 (d) 88
  37. 37.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 34 (b) 46 (c) 65 (d) 15
  38. 38.What is the average of all the whole numbers from 35 to 45? (a) 41 (b) 40 (c) 5 (d) 10
  39. 39.What is the average of 34, 39, 47, 54 and 36? (a) 42 (b) 41 (c) 44 (d) 43
  40. 40.What is the average of all the whole numbers from 29 to 63? (a) 46 (b) 34 (c) 47 (d) 17

Answer key

  1. 17
  2. 75
  3. 68
  4. 64
  5. 78
  6. 68
  7. 43
  8. 45
  9. 6
  10. 40
  11. 30
  12. 32
  13. 64
  14. 51
  15. 67
  16. 34
  17. 74
  18. 48
  19. 76
  20. 50
  21. 8
  22. 34
  23. 70
  24. 40
  25. 23
  26. 49
  27. 54
  28. 53
  29. 25
  30. 66
  31. 40
  32. 78
  33. 23
  34. 42
  35. 29
  36. 57
  37. 46
  38. 40
  39. 42
  40. 46

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