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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 724 · 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 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 37 (c) 39 (d) 8
  2. 2.What is the average of all the whole numbers from 7 to 23? (a) 15 (b) 16 (c) 14 (d) 8
  3. 3.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 9 (b) 25 (c) 12 (d) 8
  4. 4.What is the average of 23, 36, 24 and 49? (a) 34 (b) 44 (c) 32 (d) 33
  5. 5.What is the average of all the whole numbers from 27 to 51? (a) 24 (b) 40 (c) 12 (d) 39
  6. 6.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 26 (b) 31 (c) 17 (d) 12
  7. 7.What is the average of 56, 50, 44 and 82? (a) 57 (b) 59 (c) 60 (d) 58
  8. 8.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 63 (b) 70 (c) 105 (d) 49
  9. 9.A batter has an average of 60 runs in 5 matches. How many runs are needed in the next match to raise the average to 63? (a) 66 (b) 18 (c) 78 (d) 63
  10. 10.The average of 6 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 13 (b) 28 (c) 59 (d) 14
  11. 11.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 29 (c) 41 (d) 18
  12. 12.What is the average of 36, 38, 16 and 26? (a) 29 (b) 28 (c) 31 (d) 30
  13. 13.What is the average of all the whole numbers from 17 to 39? (a) 28 (b) 11 (c) 22 (d) 29
  14. 14.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 27 (b) 12 (c) 11 (d) 58
  15. 15.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 81 (b) 60 (c) 35 (d) 53
  16. 16.What is the average of all the whole numbers from 40 to 76? (a) 59 (b) 18 (c) 36 (d) 58
  17. 17.What is the average of all the whole numbers from 29 to 63? (a) 17 (b) 34 (c) 47 (d) 46
  18. 18.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 27 (b) 32 (c) 50 (d) 55
  19. 19.What is the average of 39, 19, 37, 28, 35 and 10? (a) 30 (b) 27 (c) 28 (d) 29
  20. 20.A batter has an average of 30 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 36 (b) 33 (c) 45 (d) 15
  21. 21.What is the average of 19, 33, 29 and 35? (a) 29 (b) 28 (c) 31 (d) 30
  22. 22.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 30 (b) 15 (c) 25 (d) 20
  23. 23.What is the average of 19, 38, 28 and 47? (a) 33 (b) 34 (c) 44 (d) 32
  24. 24.What is the average of all the whole numbers from 57 to 89? (a) 74 (b) 32 (c) 16 (d) 73
  25. 25.What is the average of 75, 56, 48, 56, 70 and 67? (a) 61 (b) 63 (c) 64 (d) 62
  26. 26.What is the average of 28, 15, 21, 35, 20 and 49? (a) 30 (b) 27 (c) 28 (d) 29
  27. 27.What is the average of all the whole numbers from 24 to 54? (a) 15 (b) 39 (c) 40 (d) 30
  28. 28.What is the average of all the whole numbers from 7 to 25? (a) 17 (b) 18 (c) 16 (d) 9
  29. 29.What is the average of all the whole numbers from 42 to 54? (a) 12 (b) 49 (c) 48 (d) 6
  30. 30.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 16 (b) 88 (c) 59 (d) 45
  31. 31.What is the average of all the whole numbers from 34 to 50? (a) 8 (b) 43 (c) 16 (d) 42
  32. 32.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 94 (b) 21 (c) 45 (d) 22
  33. 33.What is the average of 49, 48, 61, 48, 67 and 57? (a) 54 (b) 56 (c) 55 (d) 66
  34. 34.What is the average of all the whole numbers from 13 to 47? (a) 31 (b) 34 (c) 30 (d) 17
  35. 35.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 25 (b) 32 (c) 52 (d) 59
  36. 36.What is the average of 31, 28, 48 and 57? (a) 40 (b) 41 (c) 42 (d) 43
  37. 37.What is the average of 8, 19, 8, 12 and 68? (a) 22 (b) 24 (c) 23 (d) 25
  38. 38.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 25 (b) 38 (c) 53 (d) 33
  39. 39.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 20 (c) 30 (d) 14
  40. 40.What is the average of all the whole numbers from 46 to 74? (a) 28 (b) 14 (c) 61 (d) 60

Answer key

  1. 43
  2. 15
  3. 8
  4. 33
  5. 39
  6. 26
  7. 58
  8. 105
  9. 78
  10. 13
  11. 41
  12. 29
  13. 28
  14. 11
  15. 81
  16. 58
  17. 46
  18. 55
  19. 28
  20. 45
  21. 29
  22. 30
  23. 33
  24. 73
  25. 62
  26. 28
  27. 39
  28. 16
  29. 48
  30. 59
  31. 42
  32. 21
  33. 55
  34. 30
  35. 52
  36. 41
  37. 23
  38. 53
  39. 30
  40. 60

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