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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 389 · 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 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 55 (c) 69 (d) 18
  2. 2.What is the average of 21, 23, 30 and 6? (a) 21 (b) 20 (c) 22 (d) 19
  3. 3.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 53? (a) 61 (b) 48 (c) 53 (d) 93
  4. 4.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 53 (b) 84 (c) 43 (d) 12
  5. 5.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 32 (b) 45 (c) 69 (d) 53
  6. 6.What is the average of 31, 34, 16, 29 and 10? (a) 23 (b) 25 (c) 30 (d) 24
  7. 7.What is the average of 42, 49, 65, 49, 57 and 38? (a) 50 (b) 51 (c) 60 (d) 49
  8. 8.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 20 (c) 54 (d) 42
  9. 9.What is the average of all the whole numbers from 17 to 51? (a) 33 (b) 17 (c) 35 (d) 34
  10. 10.What is the average of 8, 11, 29, 26 and 41? (a) 23 (b) 22 (c) 24 (d) 25
  11. 11.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 64 (b) 29 (c) 34 (d) 40
  12. 12.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 36? (a) 48 (b) 76 (c) 36 (d) 44
  13. 13.What is the average of all the whole numbers from 48 to 68? (a) 58 (b) 59 (c) 10 (d) 20
  14. 14.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 61 (b) 21 (c) 58 (d) 76
  15. 15.What is the average of all the whole numbers from 50 to 56? (a) 3 (b) 6 (c) 53 (d) 54
  16. 16.What is the average of 31, 35, 25 and 61? (a) 40 (b) 39 (c) 38 (d) 37
  17. 17.What is the average of 58, 43, 59, 43 and 87? (a) 60 (b) 58 (c) 59 (d) 57
  18. 18.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 20 (b) 21 (c) 26 (d) 53
  19. 19.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) 23 (b) 24 (c) 47 (d) 98
  20. 20.What is the average of 69, 58, 66, 46, 71 and 44? (a) 58 (b) 59 (c) 60 (d) 61
  21. 21.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 42 (b) 57 (c) 25 (d) 37
  22. 22.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 50 (b) 105 (c) 21 (d) 20
  23. 23.What is the average of 34, 27, 13 and 18? (a) 22 (b) 23 (c) 24 (d) 25
  24. 24.What is the average of 69, 74, 50, 69 and 58? (a) 80 (b) 65 (c) 63 (d) 64
  25. 25.What is the average of 47, 47, 33, 44, 42 and 63? (a) 46 (b) 48 (c) 45 (d) 47
  26. 26.What is the average of 57, 77, 84, 83, 79 and 46? (a) 71 (b) 70 (c) 72 (d) 73
  27. 27.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 103 (b) 33 (c) 32 (d) 50
  28. 28.What is the average of 61, 45, 42 and 44? (a) 64 (b) 48 (c) 49 (d) 47
  29. 29.What is the average of all the whole numbers from 55 to 87? (a) 32 (b) 72 (c) 71 (d) 16
  30. 30.A batter has an average of 57 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 99 (c) 69 (d) 42
  31. 31.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) 60 (b) 84 (c) 27 (d) 63
  32. 32.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 33 (c) 38 (d) 16
  33. 33.What is the average of all the whole numbers from 12 to 24? (a) 12 (b) 19 (c) 18 (d) 6
  34. 34.What is the average of all the whole numbers from 30 to 46? (a) 38 (b) 39 (c) 8 (d) 16
  35. 35.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 30 (c) 35 (d) 59
  36. 36.What is the average of all the whole numbers from 54 to 94? (a) 40 (b) 20 (c) 74 (d) 75
  37. 37.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 49 (c) 50 (d) 35
  38. 38.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 38 (b) 37 (c) 49 (d) 102
  39. 39.What is the average of all the whole numbers from 6 to 30? (a) 12 (b) 18 (c) 24 (d) 19
  40. 40.What is the average of all the whole numbers from 37 to 73? (a) 36 (b) 56 (c) 18 (d) 55

Answer key

  1. 69
  2. 20
  3. 93
  4. 53
  5. 69
  6. 24
  7. 50
  8. 54
  9. 34
  10. 23
  11. 64
  12. 76
  13. 58
  14. 76
  15. 53
  16. 38
  17. 58
  18. 20
  19. 23
  20. 59
  21. 57
  22. 20
  23. 23
  24. 64
  25. 46
  26. 71
  27. 32
  28. 48
  29. 71
  30. 99
  31. 84
  32. 33
  33. 18
  34. 38
  35. 59
  36. 74
  37. 49
  38. 37
  39. 18
  40. 55

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