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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 416 · 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 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 60 (c) 46 (d) 16
  2. 2.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) 39 (c) 38 (d) 87
  3. 3.What is the average of 33, 27, 14, 22 and 34? (a) 27 (b) 26 (c) 28 (d) 25
  4. 4.What is the average of 72, 70, 76, 84 and 68? (a) 74 (b) 75 (c) 76 (d) 73
  5. 5.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 59? (a) 25 (b) 64 (c) 59 (d) 79
  6. 6.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 35 (b) 44 (c) 14 (d) 23
  7. 7.What is the average of 63, 91, 73, 71 and 87? (a) 77 (b) 78 (c) 79 (d) 76
  8. 8.What is the average of 39, 27, 31, 52 and 61? (a) 43 (b) 41 (c) 44 (d) 42
  9. 9.What is the average of all the whole numbers from 5 to 27? (a) 11 (b) 16 (c) 17 (d) 22
  10. 10.A batter has an average of 48 runs in 7 matches. How many runs are needed in the next match to raise the average to 51? (a) 24 (b) 72 (c) 51 (d) 54
  11. 11.What is the average of 13, 29, 16 and 54? (a) 30 (b) 27 (c) 28 (d) 29
  12. 12.What is the average of all the whole numbers from 13 to 23? (a) 10 (b) 19 (c) 5 (d) 18
  13. 13.What is the average of all the whole numbers from 52 to 90? (a) 71 (b) 72 (c) 38 (d) 19
  14. 14.What is the average of 31, 24, 39, 24, 23 and 51? (a) 32 (b) 34 (c) 31 (d) 33
  15. 15.What is the average of 7, 23, 7, 20 and 48? (a) 21 (b) 23 (c) 20 (d) 22
  16. 16.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 36 (c) 84 (d) 64
  17. 17.What is the average of 80, 83, 62 and 83? (a) 76 (b) 79 (c) 77 (d) 78
  18. 18.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 61? (a) 12 (b) 64 (c) 61 (d) 70
  19. 19.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 93 (b) 44 (c) 30 (d) 29
  20. 20.What is the average of all the whole numbers from 15 to 47? (a) 32 (b) 16 (c) 31 (d) 30
  21. 21.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 30 (b) 36 (c) 74 (d) 31
  22. 22.What is the average of all the whole numbers from 19 to 33? (a) 27 (b) 7 (c) 26 (d) 14
  23. 23.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 61 (c) 49 (d) 18
  24. 24.What is the average of 39, 23, 33 and 53? (a) 38 (b) 37 (c) 36 (d) 39
  25. 25.What is the average of all the whole numbers from 10 to 40? (a) 26 (b) 30 (c) 15 (d) 25
  26. 26.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 60 (b) 10 (c) 39 (d) 31
  27. 27.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 34 (c) 19 (d) 47
  28. 28.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) 27 (b) 32 (c) 50 (d) 72
  29. 29.What is the average of all the whole numbers from 36 to 44? (a) 41 (b) 40 (c) 4 (d) 8
  30. 30.What is the average of all the whole numbers from 56 to 68? (a) 6 (b) 12 (c) 63 (d) 62
  31. 31.A batter has an average of 27 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 33 (b) 30 (c) 24 (d) 51
  32. 32.What is the average of all the whole numbers from 53 to 79? (a) 26 (b) 13 (c) 67 (d) 66
  33. 33.What is the average of all the whole numbers from 16 to 24? (a) 8 (b) 4 (c) 21 (d) 20
  34. 34.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 44 (b) 80 (c) 108 (d) 36
  35. 35.What is the average of 38, 44, 34, 59 and 60? (a) 49 (b) 48 (c) 47 (d) 46
  36. 36.What is the average of all the whole numbers from 17 to 23? (a) 6 (b) 20 (c) 21 (d) 3
  37. 37.What is the average of all the whole numbers from 36 to 70? (a) 54 (b) 34 (c) 17 (d) 53
  38. 38.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 16 (b) 54 (c) 40 (d) 78
  39. 39.What is the average of 30, 44, 27, 47, 51 and 41? (a) 41 (b) 39 (c) 40 (d) 48
  40. 40.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 49 (b) 37 (c) 31 (d) 24

Answer key

  1. 60
  2. 38
  3. 26
  4. 74
  5. 79
  6. 44
  7. 77
  8. 42
  9. 16
  10. 72
  11. 28
  12. 18
  13. 71
  14. 32
  15. 21
  16. 84
  17. 77
  18. 70
  19. 29
  20. 31
  21. 30
  22. 26
  23. 61
  24. 37
  25. 25
  26. 39
  27. 47
  28. 72
  29. 40
  30. 62
  31. 51
  32. 66
  33. 20
  34. 108
  35. 47
  36. 20
  37. 53
  38. 54
  39. 40
  40. 49

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