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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 592 · 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.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 34 (b) 33 (c) 36 (d) 73
  2. 2.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 75 (b) 33 (c) 54 (d) 27
  3. 3.What is the average of all the whole numbers from 13 to 29? (a) 16 (b) 8 (c) 22 (d) 21
  4. 4.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 30 (c) 46 (d) 37
  5. 5.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 67? (a) 99 (b) 67 (c) 75 (d) 40
  6. 6.What is the average of all the whole numbers from 25 to 37? (a) 6 (b) 12 (c) 32 (d) 31
  7. 7.What is the average of 27, 13, 26 and 46? (a) 27 (b) 28 (c) 30 (d) 29
  8. 8.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 43? (a) 40 (b) 75 (c) 43 (d) 51
  9. 9.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 33 (b) 14 (c) 64 (d) 45
  10. 10.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 18 (b) 53 (c) 73 (d) 38
  11. 11.What is the average of 84, 81, 70, 75, 71 and 63? (a) 74 (b) 76 (c) 75 (d) 73
  12. 12.What is the average of 65, 49, 61, 63, 52 and 64? (a) 58 (b) 60 (c) 59 (d) 61
  13. 13.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 62 (b) 16 (c) 50 (d) 48
  14. 14.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 29 (b) 14 (c) 41 (d) 56
  15. 15.A batter has an average of 43 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 50 (b) 48 (c) 53 (d) 93
  16. 16.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 49 (b) 41 (c) 81 (d) 48
  17. 17.What is the average of 73, 50, 68, 67, 57 and 57? (a) 62 (b) 61 (c) 64 (d) 63
  18. 18.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 24 (c) 12 (d) 23
  19. 19.What is the average of 63, 80, 63 and 90? (a) 76 (b) 75 (c) 73 (d) 74
  20. 20.What is the average of all the whole numbers from 25 to 41? (a) 34 (b) 16 (c) 8 (d) 33
  21. 21.What is the average of 25, 15, 27 and 21? (a) 22 (b) 24 (c) 21 (d) 23
  22. 22.A batter has an average of 47 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 48 (b) 53 (c) 59 (d) 95
  23. 23.What is the average of 49, 55, 43, 58, 64 and 25? (a) 50 (b) 48 (c) 49 (d) 51
  24. 24.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 27 (b) 25 (c) 20 (d) 43
  25. 25.What is the average of 38, 38, 35, 37, 44 and 24? (a) 37 (b) 35 (c) 36 (d) 38
  26. 26.What is the average of all the whole numbers from 57 to 85? (a) 28 (b) 71 (c) 72 (d) 14
  27. 27.What is the average of 12, 37, 15, 10 and 46? (a) 25 (b) 24 (c) 30 (d) 23
  28. 28.What is the average of all the whole numbers from 20 to 40? (a) 31 (b) 30 (c) 20 (d) 10
  29. 29.What is the average of all the whole numbers from 27 to 47? (a) 20 (b) 10 (c) 38 (d) 37
  30. 30.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) 50 (b) 48 (c) 26 (d) 28
  31. 31.What is the average of 17, 26, 32, 36 and 34? (a) 28 (b) 30 (c) 31 (d) 29
  32. 32.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 38? (a) 59 (b) 38 (c) 41 (d) 24
  33. 33.A batter has an average of 59 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 99 (b) 40 (c) 63 (d) 67
  34. 34.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 86 (b) 33 (c) 42 (d) 32
  35. 35.What is the average of all the whole numbers from 14 to 38? (a) 12 (b) 26 (c) 27 (d) 24
  36. 36.What is the average of 57, 55, 49, 57, 64 and 24? (a) 50 (b) 51 (c) 53 (d) 52
  37. 37.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 93 (b) 29 (c) 72 (d) 37
  38. 38.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 56 (c) 91 (d) 45
  39. 39.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 24 (c) 56 (d) 50
  40. 40.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 60? (a) 64 (b) 84 (c) 60 (d) 28

Answer key

  1. 33
  2. 75
  3. 21
  4. 46
  5. 99
  6. 31
  7. 28
  8. 75
  9. 45
  10. 53
  11. 74
  12. 59
  13. 62
  14. 41
  15. 93
  16. 81
  17. 62
  18. 23
  19. 74
  20. 33
  21. 22
  22. 95
  23. 49
  24. 43
  25. 36
  26. 71
  27. 24
  28. 30
  29. 37
  30. 50
  31. 29
  32. 59
  33. 99
  34. 32
  35. 26
  36. 51
  37. 93
  38. 91
  39. 50
  40. 84

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