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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 745 · 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 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 40 (c) 97 (d) 73
  2. 2.What is the average of 20, 36, 9 and 19? (a) 28 (b) 20 (c) 21 (d) 22
  3. 3.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 11 (b) 2 (c) 3 (d) 25
  4. 4.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 39 (b) 82 (c) 23 (d) 24
  5. 5.What is the average of all the whole numbers from 6 to 38? (a) 32 (b) 22 (c) 23 (d) 16
  6. 6.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 59 (b) 32 (c) 47 (d) 20
  7. 7.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 43 (b) 49 (c) 40 (d) 12
  8. 8.What is the average of 59, 55, 53 and 65? (a) 59 (b) 58 (c) 57 (d) 60
  9. 9.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 23? (a) 23 (b) 25 (c) 33 (d) 12
  10. 10.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 35 (b) 11 (c) 74 (d) 12
  11. 11.What is the average of 27, 32, 34, 46 and 46? (a) 39 (b) 37 (c) 36 (d) 38
  12. 12.The average of 4 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 46 (b) 97 (c) 48 (d) 45
  13. 13.What is the average of all the whole numbers from 17 to 45? (a) 31 (b) 32 (c) 14 (d) 28
  14. 14.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 17 (b) 12 (c) 32 (d) 27
  15. 15.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 7 (b) 10 (c) 21 (d) 8
  16. 16.What is the average of 34, 48, 37 and 21? (a) 34 (b) 36 (c) 35 (d) 37
  17. 17.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 54 (b) 96 (c) 48 (d) 97
  18. 18.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 32 (c) 39 (d) 60
  19. 19.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 14 (b) 26 (c) 36 (d) 24
  20. 20.What is the average of 62, 44, 56 and 46? (a) 52 (b) 54 (c) 51 (d) 53
  21. 21.The average of 8 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 15 (b) 25 (c) 50 (d) 40
  22. 22.What is the average of all the whole numbers from 33 to 55? (a) 11 (b) 22 (c) 45 (d) 44
  23. 23.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 62 (b) 42 (c) 80 (d) 24
  24. 24.A batter has an average of 38 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 18 (c) 41 (d) 56
  25. 25.What is the average of 47, 34, 38, 35 and 81? (a) 46 (b) 49 (c) 48 (d) 47
  26. 26.What is the average of all the whole numbers from 46 to 62? (a) 54 (b) 8 (c) 55 (d) 16
  27. 27.What is the average of 68, 82, 75, 82 and 73? (a) 77 (b) 75 (c) 76 (d) 95
  28. 28.What is the average of 39, 33, 42 and 6? (a) 31 (b) 29 (c) 40 (d) 30
  29. 29.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 30 (c) 58 (d) 38
  30. 30.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 66 (b) 58 (c) 64 (d) 114
  31. 31.What is the average of all the whole numbers from 42 to 82? (a) 62 (b) 63 (c) 40 (d) 20
  32. 32.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 51 (c) 27 (d) 72
  33. 33.What is the average of all the whole numbers from 45 to 77? (a) 32 (b) 61 (c) 62 (d) 16
  34. 34.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 68 (b) 48 (c) 53 (d) 25
  35. 35.What is the average of all the whole numbers from 31 to 61? (a) 15 (b) 46 (c) 47 (d) 30
  36. 36.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 40 (b) 49 (c) 101 (d) 41
  37. 37.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 29 (b) 10 (c) 56 (d) 37
  38. 38.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 28 (b) 61 (c) 81 (d) 57
  39. 39.What is the average of all the whole numbers from 8 to 20? (a) 15 (b) 14 (c) 6 (d) 12
  40. 40.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 53 (b) 28 (c) 33 (d) 29

Answer key

  1. 97
  2. 21
  3. 2
  4. 23
  5. 22
  6. 47
  7. 49
  8. 58
  9. 33
  10. 11
  11. 37
  12. 45
  13. 31
  14. 27
  15. 7
  16. 35
  17. 96
  18. 60
  19. 36
  20. 52
  21. 50
  22. 44
  23. 62
  24. 56
  25. 47
  26. 54
  27. 76
  28. 30
  29. 58
  30. 114
  31. 62
  32. 72
  33. 61
  34. 68
  35. 46
  36. 40
  37. 37
  38. 81
  39. 14
  40. 53

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