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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 751 · 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 15 to 31? (a) 16 (b) 24 (c) 8 (d) 23
  2. 2.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) 71 (b) 48 (c) 63 (d) 103
  3. 3.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 23 (b) 12 (c) 11 (d) 50
  4. 4.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 7 (b) 36 (c) 71 (d) 42
  5. 5.What is the average of 37, 25, 37 and 33? (a) 44 (b) 32 (c) 34 (d) 33
  6. 6.What is the average of 85, 82, 57 and 60? (a) 72 (b) 73 (c) 70 (d) 71
  7. 7.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 20 (b) 19 (c) 23 (d) 47
  8. 8.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 42 (b) 23 (c) 20 (d) 39
  9. 9.What is the average of 60, 81, 60, 61, 60 and 80? (a) 69 (b) 68 (c) 67 (d) 66
  10. 10.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 14 (b) 25 (c) 21 (d) 32
  11. 11.What is the average of all the whole numbers from 50 to 60? (a) 56 (b) 55 (c) 5 (d) 10
  12. 12.The average of 8 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 59 (b) 8 (c) 37 (d) 30
  13. 13.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 10 (b) 26 (c) 16 (d) 20
  14. 14.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 48 (b) 97 (c) 63 (d) 41
  15. 15.What is the average of 64, 88, 76, 68 and 74? (a) 73 (b) 74 (c) 75 (d) 76
  16. 16.What is the average of 35, 25, 37 and 51? (a) 36 (b) 39 (c) 38 (d) 37
  17. 17.The average of 8 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 5 (b) 26 (c) 6 (d) 55
  18. 18.What is the average of 24, 12, 19, 9, 21 and 53? (a) 25 (b) 22 (c) 24 (d) 23
  19. 19.What is the average of 11, 20, 34, 34 and 6? (a) 21 (b) 20 (c) 23 (d) 22
  20. 20.What is the average of all the whole numbers from 11 to 31? (a) 10 (b) 22 (c) 20 (d) 21
  21. 21.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 60? (a) 60 (b) 84 (c) 66 (d) 30
  22. 22.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 74 (b) 30 (c) 50 (d) 47
  23. 23.What is the average of all the whole numbers from 31 to 39? (a) 4 (b) 36 (c) 35 (d) 8
  24. 24.The average of 5 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 14 (b) 15 (c) 37 (d) 18
  25. 25.What is the average of all the whole numbers from 31 to 51? (a) 41 (b) 20 (c) 42 (d) 10
  26. 26.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 40 (b) 66 (c) 65 (d) 35
  27. 27.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) 12 (c) 32 (d) 38
  28. 28.What is the average of all the whole numbers from 7 to 21? (a) 7 (b) 15 (c) 14 (d) 13
  29. 29.What is the average of all the whole numbers from 9 to 49? (a) 40 (b) 20 (c) 29 (d) 30
  30. 30.A batter has an average of 42 runs in 7 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 48 (c) 24 (d) 66
  31. 31.What is the average of 55, 39, 55 and 11? (a) 41 (b) 40 (c) 42 (d) 39
  32. 32.What is the average of 27, 45, 36, 52, 52 and 28? (a) 48 (b) 41 (c) 39 (d) 40
  33. 33.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 4 (b) 34 (c) 31 (d) 61
  34. 34.The average of 6 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 43 (b) 87 (c) 39 (d) 38
  35. 35.What is the average of all the whole numbers from 39 to 61? (a) 11 (b) 22 (c) 50 (d) 51
  36. 36.What is the average of all the whole numbers from 23 to 63? (a) 20 (b) 44 (c) 40 (d) 43
  37. 37.What is the average of all the whole numbers from 18 to 32? (a) 26 (b) 25 (c) 14 (d) 7
  38. 38.What is the average of 64, 86, 85, 92 and 68? (a) 78 (b) 80 (c) 81 (d) 79
  39. 39.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 54? (a) 60 (b) 72 (c) 24 (d) 54
  40. 40.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 60 (b) 98 (c) 44 (d) 50

Answer key

  1. 23
  2. 103
  3. 11
  4. 42
  5. 33
  6. 71
  7. 19
  8. 39
  9. 67
  10. 32
  11. 55
  12. 37
  13. 26
  14. 97
  15. 74
  16. 37
  17. 5
  18. 23
  19. 21
  20. 21
  21. 84
  22. 74
  23. 35
  24. 14
  25. 41
  26. 65
  27. 38
  28. 14
  29. 29
  30. 66
  31. 40
  32. 40
  33. 34
  34. 38
  35. 50
  36. 43
  37. 25
  38. 79
  39. 72
  40. 98

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