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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 346 · 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 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 20 (b) 55 (c) 71 (d) 59
  2. 2.What is the average of 31, 27, 8, 16 and 28? (a) 24 (b) 23 (c) 22 (d) 21
  3. 3.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 44? (a) 44 (b) 62 (c) 21 (d) 47
  4. 4.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 50 (b) 5 (c) 99 (d) 54
  5. 5.What is the average of 28, 34, 15 and 11? (a) 22 (b) 21 (c) 24 (d) 23
  6. 6.What is the average of 40, 30, 17 and 41? (a) 31 (b) 34 (c) 32 (d) 33
  7. 7.What is the average of all the whole numbers from 16 to 30? (a) 23 (b) 7 (c) 24 (d) 14
  8. 8.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 70 (b) 25 (c) 95 (d) 50
  9. 9.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 26 (b) 57 (c) 7 (d) 6
  10. 10.What is the average of all the whole numbers from 16 to 32? (a) 24 (b) 16 (c) 25 (d) 8
  11. 11.What is the average of 82, 72, 79 and 55? (a) 73 (b) 71 (c) 96 (d) 72
  12. 12.What is the average of all the whole numbers from 50 to 60? (a) 56 (b) 55 (c) 5 (d) 10
  13. 13.What is the average of all the whole numbers from 51 to 85? (a) 69 (b) 17 (c) 68 (d) 34
  14. 14.What is the average of all the whole numbers from 20 to 34? (a) 28 (b) 7 (c) 27 (d) 14
  15. 15.What is the average of 59, 62, 39, 64, 44 and 26? (a) 49 (b) 48 (c) 51 (d) 50
  16. 16.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 34 (b) 4 (c) 16 (d) 5
  17. 17.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 8 (b) 16 (c) 9 (d) 34
  18. 18.What is the average of 79, 69, 51, 55 and 71? (a) 64 (b) 67 (c) 65 (d) 66
  19. 19.What is the average of all the whole numbers from 40 to 76? (a) 36 (b) 58 (c) 18 (d) 59
  20. 20.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 103 (c) 48 (d) 71
  21. 21.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 36 (b) 23 (c) 74 (d) 22
  22. 22.What is the average of all the whole numbers from 31 to 65? (a) 17 (b) 34 (c) 48 (d) 49
  23. 23.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 37 (b) 61 (c) 40 (d) 29
  24. 24.What is the average of all the whole numbers from 9 to 21? (a) 6 (b) 12 (c) 15 (d) 16
  25. 25.The average of 6 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 2 (b) 35 (c) 16 (d) 1
  26. 26.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 55 (b) 11 (c) 12 (d) 26
  27. 27.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 88 (b) 40 (c) 58 (d) 53
  28. 28.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 18 (b) 62 (c) 30 (d) 19
  29. 29.What is the average of all the whole numbers from 29 to 55? (a) 42 (b) 13 (c) 26 (d) 43
  30. 30.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 115 (b) 67 (c) 59 (d) 64
  31. 31.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 38 (b) 39 (c) 47 (d) 97
  32. 32.What is the average of all the whole numbers from 11 to 25? (a) 18 (b) 7 (c) 14 (d) 19
  33. 33.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 16 (b) 65 (c) 31 (d) 17
  34. 34.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 29? (a) 35 (b) 29 (c) 48 (d) 71
  35. 35.What is the average of all the whole numbers from 52 to 82? (a) 68 (b) 15 (c) 67 (d) 30
  36. 36.What is the average of 55, 44, 61, 42, 62 and 36? (a) 60 (b) 50 (c) 51 (d) 49
  37. 37.A batter has an average of 59 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 65 (b) 18 (c) 77 (d) 62
  38. 38.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 12 (b) 22 (c) 24 (d) 14
  39. 39.What is the average of 49, 79, 67 and 61? (a) 64 (b) 65 (c) 63 (d) 66
  40. 40.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 23? (a) 26 (b) 50 (c) 30 (d) 23

Answer key

  1. 71
  2. 22
  3. 62
  4. 54
  5. 22
  6. 32
  7. 23
  8. 70
  9. 6
  10. 24
  11. 72
  12. 55
  13. 68
  14. 27
  15. 49
  16. 4
  17. 8
  18. 65
  19. 58
  20. 103
  21. 22
  22. 48
  23. 61
  24. 15
  25. 1
  26. 11
  27. 88
  28. 18
  29. 42
  30. 115
  31. 38
  32. 18
  33. 16
  34. 71
  35. 67
  36. 50
  37. 77
  38. 24
  39. 64
  40. 50

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