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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 673 · 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 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 32 (b) 72 (c) 50 (d) 27
  2. 2.What is the average of 24, 19, 29, 22, 23 and 87? (a) 35 (b) 33 (c) 36 (d) 34
  3. 3.What is the average of all the whole numbers from 49 to 85? (a) 68 (b) 36 (c) 18 (d) 67
  4. 4.What is the average of all the whole numbers from 50 to 60? (a) 55 (b) 10 (c) 56 (d) 5
  5. 5.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 72 (c) 48 (d) 40
  6. 6.What is the average of all the whole numbers from 6 to 16? (a) 11 (b) 12 (c) 10 (d) 5
  7. 7.What is the average of all the whole numbers from 8 to 42? (a) 34 (b) 26 (c) 17 (d) 25
  8. 8.What is the average of all the whole numbers from 20 to 34? (a) 27 (b) 7 (c) 14 (d) 28
  9. 9.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 17 (c) 32 (d) 16
  10. 10.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 35 (c) 53 (d) 21
  11. 11.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 23 (b) 8 (c) 17 (d) 32
  12. 12.What is the average of 68, 74, 76, 60, 81 and 79? (a) 74 (b) 75 (c) 72 (d) 73
  13. 13.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 10 (b) 29 (c) 37 (d) 31
  14. 14.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 25 (b) 24 (c) 31 (d) 63
  15. 15.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 95 (b) 32 (c) 46 (d) 31
  16. 16.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 18 (b) 36 (c) 51 (d) 69
  17. 17.What is the average of 51, 43, 52, 55, 31 and 44? (a) 45 (b) 48 (c) 47 (d) 46
  18. 18.What is the average of all the whole numbers from 25 to 33? (a) 29 (b) 4 (c) 30 (d) 8
  19. 19.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 50 (b) 8 (c) 99 (d) 57
  20. 20.What is the average of all the whole numbers from 38 to 74? (a) 57 (b) 56 (c) 36 (d) 18
  21. 21.A batter has an average of 32 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 38 (c) 62 (d) 30
  22. 22.What is the average of all the whole numbers from 40 to 74? (a) 34 (b) 58 (c) 57 (d) 17
  23. 23.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 72 (b) 6 (c) 34 (d) 7
  24. 24.What is the average of 34, 10, 12, 33 and 26? (a) 25 (b) 23 (c) 22 (d) 24
  25. 25.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 20 (b) 95 (c) 45 (d) 21
  26. 26.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 27 (b) 20 (c) 11 (d) 18
  27. 27.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 5 (b) 19 (c) 23 (d) 37
  28. 28.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 4 (b) 52 (c) 5 (d) 24
  29. 29.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 49 (b) 40 (c) 15 (d) 37
  30. 30.What is the average of all the whole numbers from 20 to 30? (a) 5 (b) 26 (c) 10 (d) 25
  31. 31.What is the average of all the whole numbers from 39 to 51? (a) 46 (b) 45 (c) 6 (d) 12
  32. 32.What is the average of 27, 40, 27, 41 and 45? (a) 35 (b) 45 (c) 37 (d) 36
  33. 33.What is the average of 44, 29, 45, 50 and 12? (a) 36 (b) 37 (c) 45 (d) 35
  34. 34.What is the average of 32, 12, 11, 32 and 23? (a) 22 (b) 21 (c) 23 (d) 24
  35. 35.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 30 (c) 32 (d) 8
  36. 36.What is the average of all the whole numbers from 10 to 26? (a) 16 (b) 8 (c) 19 (d) 18
  37. 37.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 24 (b) 33 (c) 45 (d) 27
  38. 38.What is the average of 73, 86, 76 and 49? (a) 72 (b) 73 (c) 70 (d) 71
  39. 39.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 77 (c) 56 (d) 35
  40. 40.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 13 (b) 25 (c) 54 (d) 14

Answer key

  1. 72
  2. 34
  3. 67
  4. 55
  5. 72
  6. 11
  7. 25
  8. 27
  9. 31
  10. 53
  11. 23
  12. 73
  13. 37
  14. 24
  15. 31
  16. 51
  17. 46
  18. 29
  19. 57
  20. 56
  21. 62
  22. 57
  23. 6
  24. 23
  25. 20
  26. 27
  27. 23
  28. 4
  29. 49
  30. 25
  31. 45
  32. 36
  33. 36
  34. 22
  35. 36
  36. 18
  37. 45
  38. 71
  39. 77
  40. 13

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