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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 434 · 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 49 to 71? (a) 61 (b) 11 (c) 22 (d) 60
  2. 2.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 46 (b) 55 (c) 12 (d) 89
  3. 3.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 8 (b) 34 (c) 67 (d) 41
  4. 4.What is the average of 82, 86, 79, 62 and 71? (a) 77 (b) 95 (c) 75 (d) 76
  5. 5.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 97 (b) 50 (c) 62 (d) 15
  6. 6.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 90 (b) 32 (c) 74 (d) 66
  7. 7.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 7 (b) 26 (c) 6 (d) 56
  8. 8.What is the average of 38, 37, 22 and 7? (a) 28 (b) 27 (c) 25 (d) 26
  9. 9.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 61 (c) 72 (d) 117
  10. 10.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 46? (a) 94 (b) 56 (c) 54 (d) 46
  11. 11.What is the average of all the whole numbers from 50 to 68? (a) 9 (b) 18 (c) 59 (d) 60
  12. 12.What is the average of 30, 23, 28, 28, 26 and 63? (a) 32 (b) 35 (c) 34 (d) 33
  13. 13.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 46? (a) 63 (b) 53 (c) 46 (d) 102
  14. 14.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 42 (b) 36 (c) 70 (d) 8
  15. 15.What is the average of all the whole numbers from 15 to 21? (a) 6 (b) 3 (c) 19 (d) 18
  16. 16.What is the average of 40, 40, 41, 42, 44 and 27? (a) 40 (b) 39 (c) 38 (d) 41
  17. 17.What is the average of all the whole numbers from 9 to 27? (a) 9 (b) 17 (c) 18 (d) 19
  18. 18.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 9 (b) 10 (c) 12 (d) 25
  19. 19.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 53 (b) 47 (c) 83 (d) 42
  20. 20.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 40 (b) 28 (c) 63 (d) 51
  21. 21.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 36 (b) 64 (c) 29 (d) 42
  22. 22.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 25 (b) 45 (c) 20 (d) 40
  23. 23.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 16 (b) 8 (c) 31 (d) 23
  24. 24.What is the average of 79, 65, 77, 67, 54 and 72? (a) 68 (b) 71 (c) 69 (d) 70
  25. 25.What is the average of 32, 34, 43 and 63? (a) 45 (b) 42 (c) 44 (d) 43
  26. 26.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 31 (b) 32 (c) 92 (d) 45
  27. 27.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 24 (c) 10 (d) 21
  28. 28.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 54 (c) 55 (d) 30
  29. 29.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 50 (b) 8 (c) 57 (d) 99
  30. 30.A batter has an average of 26 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 82 (b) 34 (c) 42 (d) 56
  31. 31.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 38? (a) 41 (b) 56 (c) 21 (d) 38
  32. 32.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 29? (a) 29 (b) 33 (c) 32 (d) 57
  33. 33.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 49 (b) 52 (c) 87 (d) 45
  34. 34.What is the average of all the whole numbers from 18 to 50? (a) 16 (b) 35 (c) 34 (d) 32
  35. 35.What is the average of all the whole numbers from 49 to 67? (a) 9 (b) 58 (c) 59 (d) 18
  36. 36.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 25 (c) 73 (d) 58
  37. 37.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 50 (b) 24 (c) 97 (d) 71
  38. 38.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 95 (b) 6 (c) 53 (d) 48
  39. 39.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 15 (b) 44 (c) 16 (d) 21
  40. 40.What is the average of 81, 71, 71, 82 and 80? (a) 79 (b) 76 (c) 78 (d) 77

Answer key

  1. 60
  2. 55
  3. 41
  4. 76
  5. 62
  6. 90
  7. 6
  8. 26
  9. 117
  10. 94
  11. 59
  12. 33
  13. 102
  14. 42
  15. 18
  16. 39
  17. 18
  18. 9
  19. 83
  20. 63
  21. 64
  22. 40
  23. 23
  24. 69
  25. 43
  26. 31
  27. 21
  28. 54
  29. 57
  30. 82
  31. 56
  32. 57
  33. 87
  34. 34
  35. 58
  36. 73
  37. 71
  38. 53
  39. 15
  40. 77

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