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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 14 · 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 13 to 51? (a) 19 (b) 38 (c) 32 (d) 33
  2. 2.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 65 (b) 105 (c) 56 (d) 57
  3. 3.What is the average of all the whole numbers from 5 to 29? (a) 12 (b) 24 (c) 17 (d) 18
  4. 4.What is the average of 34, 60, 35 and 55? (a) 48 (b) 45 (c) 46 (d) 47
  5. 5.A batter has an average of 27 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 35 (c) 24 (d) 51
  6. 6.What is the average of 31, 39, 16, 34, 17 and 13? (a) 25 (b) 24 (c) 26 (d) 30
  7. 7.What is the average of 32, 40, 42 and 10? (a) 33 (b) 32 (c) 31 (d) 30
  8. 8.What is the average of 50, 43, 54 and 45? (a) 48 (b) 64 (c) 47 (d) 49
  9. 9.What is the average of all the whole numbers from 58 to 74? (a) 67 (b) 16 (c) 8 (d) 66
  10. 10.What is the average of 46, 71, 69 and 58? (a) 60 (b) 61 (c) 63 (d) 62
  11. 11.A batter has an average of 45 runs in 7 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 49 (c) 61 (d) 16
  12. 12.What is the average of 41, 31, 15, 37 and 21? (a) 31 (b) 29 (c) 28 (d) 30
  13. 13.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 45 (b) 15 (c) 10 (d) 40
  14. 14.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 28 (b) 17 (c) 10 (d) 21
  15. 15.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 39 (b) 12 (c) 30 (d) 57
  16. 16.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 49? (a) 49 (b) 53 (c) 16 (d) 61
  17. 17.What is the average of 46, 57, 40, 48 and 39? (a) 48 (b) 47 (c) 46 (d) 45
  18. 18.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 46 (b) 30 (c) 66 (d) 41
  19. 19.What is the average of all the whole numbers from 9 to 29? (a) 19 (b) 20 (c) 18 (d) 10
  20. 20.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 36 (b) 77 (c) 22 (d) 21
  21. 21.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 35 (b) 91 (c) 48 (d) 78
  22. 22.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 61 (c) 30 (d) 37
  23. 23.What is the average of all the whole numbers from 44 to 68? (a) 57 (b) 24 (c) 12 (d) 56
  24. 24.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) 6 (b) 72 (c) 34 (d) 7
  25. 25.What is the average of all the whole numbers from 7 to 23? (a) 14 (b) 15 (c) 8 (d) 16
  26. 26.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) 82 (b) 35 (c) 34 (d) 40
  27. 27.What is the average of all the whole numbers from 7 to 21? (a) 7 (b) 14 (c) 15 (d) 13
  28. 28.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 3 (b) 56 (c) 2 (d) 26
  29. 29.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 63 (c) 24 (d) 75
  30. 30.What is the average of all the whole numbers from 17 to 47? (a) 32 (b) 33 (c) 15 (d) 30
  31. 31.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 36 (c) 30 (d) 12
  32. 32.What is the average of all the whole numbers from 6 to 42? (a) 24 (b) 18 (c) 36 (d) 25
  33. 33.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 16 (b) 42 (c) 22 (d) 36
  34. 34.What is the average of all the whole numbers from 20 to 30? (a) 5 (b) 25 (c) 10 (d) 26
  35. 35.A batter has an average of 42 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 20 (b) 46 (c) 62 (d) 44
  36. 36.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 50. Which number was taken away? (a) 98 (b) 42 (c) 43 (d) 48
  37. 37.What is the average of all the whole numbers from 11 to 21? (a) 17 (b) 5 (c) 10 (d) 16
  38. 38.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 56 (b) 76 (c) 28 (d) 52
  39. 39.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 24? (a) 18 (b) 24 (c) 39 (d) 27
  40. 40.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 60 (b) 28 (c) 13 (d) 12

Answer key

  1. 32
  2. 105
  3. 17
  4. 46
  5. 51
  6. 25
  7. 31
  8. 48
  9. 66
  10. 61
  11. 61
  12. 29
  13. 45
  14. 28
  15. 39
  16. 61
  17. 46
  18. 66
  19. 19
  20. 21
  21. 78
  22. 61
  23. 56
  24. 6
  25. 15
  26. 34
  27. 14
  28. 2
  29. 75
  30. 32
  31. 36
  32. 24
  33. 36
  34. 25
  35. 62
  36. 42
  37. 16
  38. 76
  39. 39
  40. 12

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