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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 84 · 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 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 49 (b) 37 (c) 41 (d) 16
  2. 2.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 65? (a) 60 (b) 71 (c) 65 (d) 119
  3. 3.The average of 6 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 87 (b) 45 (c) 60 (d) 18
  4. 4.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 58 (c) 64 (d) 12
  5. 5.What is the average of 56, 44, 26 and 38? (a) 40 (b) 41 (c) 42 (d) 43
  6. 6.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 27 (b) 7 (c) 21 (d) 41
  7. 7.What is the average of 50, 56, 51, 62 and 21? (a) 47 (b) 48 (c) 49 (d) 60
  8. 8.What is the average of 53, 30, 48 and 37? (a) 41 (b) 43 (c) 42 (d) 56
  9. 9.What is the average of all the whole numbers from 47 to 57? (a) 52 (b) 5 (c) 10 (d) 53
  10. 10.What is the average of all the whole numbers from 60 to 84? (a) 72 (b) 24 (c) 73 (d) 12
  11. 11.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 14 (b) 64 (c) 52 (d) 54
  12. 12.What is the average of 44, 54, 58, 71, 48 and 61? (a) 56 (b) 55 (c) 57 (d) 58
  13. 13.What is the average of all the whole numbers from 12 to 30? (a) 9 (b) 21 (c) 22 (d) 18
  14. 14.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 16 (b) 23 (c) 48 (d) 15
  15. 15.What is the average of 29, 28, 47 and 56? (a) 39 (b) 41 (c) 40 (d) 42
  16. 16.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 37 (b) 72 (c) 45 (d) 10
  17. 17.What is the average of all the whole numbers from 5 to 15? (a) 9 (b) 10 (c) 5 (d) 11
  18. 18.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 36 (b) 16 (c) 5 (d) 4
  19. 19.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 43 (b) 18 (c) 46 (d) 58
  20. 20.What is the average of all the whole numbers from 14 to 36? (a) 22 (b) 26 (c) 11 (d) 25
  21. 21.What is the average of 41, 43, 62 and 70? (a) 53 (b) 72 (c) 55 (d) 54
  22. 22.A batter has an average of 26 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 34 (b) 42 (c) 16 (d) 30
  23. 23.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 15 (b) 10 (c) 28 (d) 23
  24. 24.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 33 (b) 16 (c) 37 (d) 45
  25. 25.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) 80 (b) 108 (c) 36 (d) 44
  26. 26.What is the average of 39, 29, 40, 22, 29 and 21? (a) 29 (b) 31 (c) 36 (d) 30
  27. 27.What is the average of 14, 31, 13, 23, 22 and 59? (a) 26 (b) 29 (c) 28 (d) 27
  28. 28.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 43? (a) 43 (b) 30 (c) 68 (d) 48
  29. 29.What is the average of 89, 66, 81 and 80? (a) 81 (b) 80 (c) 78 (d) 79
  30. 30.What is the average of all the whole numbers from 54 to 72? (a) 18 (b) 63 (c) 64 (d) 9
  31. 31.What is the average of 16, 26, 37, 19, 39 and 49? (a) 33 (b) 31 (c) 32 (d) 30
  32. 32.What is the average of all the whole numbers from 40 to 76? (a) 36 (b) 18 (c) 59 (d) 58
  33. 33.What is the average of all the whole numbers from 57 to 83? (a) 13 (b) 70 (c) 71 (d) 26
  34. 34.What is the average of 26, 36, 46, 26 and 41? (a) 37 (b) 35 (c) 36 (d) 34
  35. 35.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 67 (b) 33 (c) 28 (d) 27
  36. 36.What is the average of all the whole numbers from 17 to 51? (a) 33 (b) 34 (c) 17 (d) 35
  37. 37.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 12 (b) 59 (c) 51 (d) 49
  38. 38.What is the average of all the whole numbers from 37 to 77? (a) 58 (b) 57 (c) 40 (d) 20
  39. 39.What is the average of 76, 81, 77, 80 and 81? (a) 81 (b) 79 (c) 80 (d) 78
  40. 40.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 12 (b) 7 (c) 23 (d) 18

Answer key

  1. 49
  2. 119
  3. 60
  4. 64
  5. 41
  6. 27
  7. 48
  8. 42
  9. 52
  10. 72
  11. 64
  12. 56
  13. 21
  14. 15
  15. 40
  16. 45
  17. 10
  18. 4
  19. 58
  20. 25
  21. 54
  22. 42
  23. 23
  24. 45
  25. 108
  26. 30
  27. 27
  28. 68
  29. 79
  30. 63
  31. 31
  32. 58
  33. 70
  34. 35
  35. 27
  36. 34
  37. 59
  38. 57
  39. 79
  40. 18

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