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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 589 · 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 52, 52, 27, 51 and 28? (a) 43 (b) 41 (c) 44 (d) 42
  2. 2.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 42 (c) 70 (d) 100
  3. 3.What is the average of all the whole numbers from 55 to 87? (a) 72 (b) 16 (c) 32 (d) 71
  4. 4.The average of 7 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 32 (b) 101 (c) 49 (d) 31
  5. 5.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 43 (b) 4 (c) 46 (d) 85
  6. 6.What is the average of all the whole numbers from 20 to 32? (a) 27 (b) 6 (c) 12 (d) 26
  7. 7.What is the average of 30, 35, 29, 45 and 41? (a) 45 (b) 36 (c) 35 (d) 37
  8. 8.What is the average of 29, 36, 28, 19 and 43? (a) 32 (b) 30 (c) 31 (d) 33
  9. 9.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 24 (b) 35 (c) 55 (d) 66
  10. 10.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 35 (b) 103 (c) 34 (d) 49
  11. 11.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 45 (c) 41 (d) 76
  12. 12.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 12 (b) 39 (c) 82 (d) 11
  13. 13.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 59 (c) 50 (d) 99
  14. 14.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 53 (b) 25 (c) 8 (d) 7
  15. 15.What is the average of 44, 53, 59 and 76? (a) 60 (b) 59 (c) 58 (d) 57
  16. 16.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 31? (a) 87 (b) 31 (c) 63 (d) 38
  17. 17.What is the average of 57, 73, 73, 49 and 63? (a) 62 (b) 64 (c) 63 (d) 65
  18. 18.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 23 (b) 12 (c) 8 (d) 19
  19. 19.What is the average of 93, 89, 85, 71, 73 and 63? (a) 81 (b) 79 (c) 78 (d) 80
  20. 20.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 26 (b) 49 (c) 38 (d) 15
  21. 21.What is the average of 53, 67, 69, 68 and 68? (a) 66 (b) 64 (c) 67 (d) 65
  22. 22.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 28 (b) 62 (c) 83 (d) 69
  23. 23.What is the average of 37, 28, 42, 48, 36 and 67? (a) 44 (b) 42 (c) 45 (d) 43
  24. 24.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 37 (b) 77 (c) 29 (d) 28
  25. 25.What is the average of all the whole numbers from 8 to 40? (a) 25 (b) 24 (c) 16 (d) 32
  26. 26.What is the average of all the whole numbers from 21 to 31? (a) 26 (b) 5 (c) 27 (d) 10
  27. 27.A batter has an average of 58 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 16 (b) 60 (c) 62 (d) 74
  28. 28.What is the average of 34, 44, 38, 42, 38 and 8? (a) 36 (b) 33 (c) 35 (d) 34
  29. 29.What is the average of 70, 70, 90, 88, 67 and 71? (a) 76 (b) 78 (c) 77 (d) 75
  30. 30.A batter has an average of 51 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 28 (b) 59 (c) 79 (d) 55
  31. 31.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 27 (c) 16 (d) 39
  32. 32.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 44 (b) 100 (c) 70 (d) 37
  33. 33.What is the average of all the whole numbers from 45 to 53? (a) 8 (b) 4 (c) 49 (d) 50
  34. 34.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 18 (b) 12 (c) 13 (d) 38
  35. 35.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 28 (b) 78 (c) 54 (d) 58
  36. 36.A batter has an average of 55 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 16 (b) 59 (c) 63 (d) 71
  37. 37.A batter has an average of 44 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 62 (c) 48 (d) 18
  38. 38.A batter has an average of 32 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 48 (b) 40 (c) 81 (d) 80
  39. 39.A batter has an average of 33 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 70 (b) 47 (c) 103 (d) 40
  40. 40.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 26 (b) 51 (c) 8 (d) 33

Answer key

  1. 42
  2. 100
  3. 71
  4. 31
  5. 46
  6. 26
  7. 36
  8. 31
  9. 55
  10. 34
  11. 76
  12. 11
  13. 99
  14. 7
  15. 58
  16. 87
  17. 63
  18. 19
  19. 79
  20. 38
  21. 65
  22. 83
  23. 43
  24. 28
  25. 24
  26. 26
  27. 74
  28. 34
  29. 76
  30. 79
  31. 39
  32. 100
  33. 49
  34. 12
  35. 78
  36. 71
  37. 62
  38. 80
  39. 103
  40. 33

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