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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 656 · 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 92, 71, 66, 89 and 67? (a) 76 (b) 79 (c) 77 (d) 78
  2. 2.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 38 (c) 32 (d) 12
  3. 3.What is the average of 67, 54, 68 and 71? (a) 65 (b) 66 (c) 64 (d) 67
  4. 4.What is the average of 82, 65, 84, 72, 75 and 60? (a) 72 (b) 75 (c) 73 (d) 74
  5. 5.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 21 (b) 20 (c) 37 (d) 38
  6. 6.A batter has an average of 51 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 61 (c) 101 (d) 50
  7. 7.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 33 (c) 22 (d) 6
  8. 8.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 60 (b) 33 (c) 81 (d) 27
  9. 9.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 26 (b) 24 (c) 36 (d) 14
  10. 10.What is the average of all the whole numbers from 36 to 42? (a) 3 (b) 39 (c) 40 (d) 6
  11. 11.What is the average of all the whole numbers from 52 to 70? (a) 61 (b) 18 (c) 62 (d) 9
  12. 12.What is the average of all the whole numbers from 12 to 52? (a) 33 (b) 32 (c) 40 (d) 20
  13. 13.What is the average of 63, 61, 72, 81 and 73? (a) 72 (b) 69 (c) 71 (d) 70
  14. 14.What is the average of all the whole numbers from 31 to 51? (a) 42 (b) 10 (c) 20 (d) 41
  15. 15.What is the average of all the whole numbers from 11 to 29? (a) 20 (b) 9 (c) 18 (d) 21
  16. 16.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 54 (b) 12 (c) 45 (d) 87
  17. 17.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) 14 (d) 24
  18. 18.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 28 (b) 49 (c) 29 (d) 25
  19. 19.What is the average of 35, 26, 41 and 42? (a) 35 (b) 36 (c) 48 (d) 37
  20. 20.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 50 (b) 10 (c) 42 (d) 44
  21. 21.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 54 (b) 62 (c) 104 (d) 56
  22. 22.What is the average of all the whole numbers from 17 to 31? (a) 25 (b) 24 (c) 7 (d) 14
  23. 23.What is the average of all the whole numbers from 26 to 36? (a) 5 (b) 10 (c) 31 (d) 32
  24. 24.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 41 (b) 38 (c) 37 (d) 83
  25. 25.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 48 (b) 26 (c) 50 (d) 28
  26. 26.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 60 (c) 15 (d) 69
  27. 27.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 23 (b) 10 (c) 28 (d) 15
  28. 28.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 10 (b) 18 (c) 22 (d) 14
  29. 29.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 19 (b) 12 (c) 30 (d) 37
  30. 30.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 40 (b) 82 (c) 34 (d) 35
  31. 31.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 12 (b) 34 (c) 18 (d) 28
  32. 32.What is the average of all the whole numbers from 21 to 43? (a) 33 (b) 32 (c) 11 (d) 22
  33. 33.What is the average of 60, 61, 33, 36 and 40? (a) 46 (b) 47 (c) 48 (d) 45
  34. 34.What is the average of 46, 55, 65, 75 and 64? (a) 60 (b) 61 (c) 62 (d) 63
  35. 35.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 27? (a) 20 (b) 27 (c) 31 (d) 43
  36. 36.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 17 (b) 69 (c) 32 (d) 18
  37. 37.What is the average of 27, 25, 32, 39 and 77? (a) 39 (b) 41 (c) 40 (d) 50
  38. 38.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 24 (c) 38 (d) 50
  39. 39.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 30 (b) 17 (c) 42 (d) 29
  40. 40.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 38 (b) 24 (c) 28 (d) 14

Answer key

  1. 77
  2. 38
  3. 65
  4. 73
  5. 38
  6. 101
  7. 22
  8. 81
  9. 36
  10. 39
  11. 61
  12. 32
  13. 70
  14. 41
  15. 20
  16. 54
  17. 24
  18. 49
  19. 36
  20. 50
  21. 104
  22. 24
  23. 31
  24. 37
  25. 50
  26. 69
  27. 23
  28. 22
  29. 37
  30. 34
  31. 28
  32. 32
  33. 46
  34. 61
  35. 43
  36. 17
  37. 40
  38. 50
  39. 42
  40. 38

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