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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 910 · 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 41 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 57 (b) 45 (c) 16 (d) 49
  2. 2.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 39 (b) 12 (c) 33 (d) 30
  3. 3.What is the average of 57, 73, 59 and 51? (a) 59 (b) 61 (c) 60 (d) 80
  4. 4.What is the average of all the whole numbers from 28 to 62? (a) 46 (b) 17 (c) 45 (d) 34
  5. 5.What is the average of all the whole numbers from 18 to 34? (a) 27 (b) 26 (c) 16 (d) 8
  6. 6.What is the average of all the whole numbers from 37 to 55? (a) 18 (b) 46 (c) 47 (d) 9
  7. 7.A batter has an average of 32 runs in 7 matches. How many runs are needed in the next match to raise the average to 34? (a) 16 (b) 36 (c) 48 (d) 34
  8. 8.What is the average of 46, 42, 26, 50, 34 and 12? (a) 36 (b) 42 (c) 34 (d) 35
  9. 9.What is the average of 15, 12, 25 and 36? (a) 23 (b) 22 (c) 24 (d) 21
  10. 10.What is the average of 50, 52, 48 and 90? (a) 60 (b) 80 (c) 61 (d) 59
  11. 11.What is the average of 25, 20, 35, 26 and 54? (a) 31 (b) 32 (c) 33 (d) 40
  12. 12.What is the average of all the whole numbers from 18 to 36? (a) 28 (b) 9 (c) 27 (d) 18
  13. 13.What is the average of 67, 45, 54, 72 and 47? (a) 56 (b) 59 (c) 57 (d) 58
  14. 14.What is the average of all the whole numbers from 20 to 26? (a) 23 (b) 6 (c) 24 (d) 3
  15. 15.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 34 (b) 9 (c) 10 (d) 73
  16. 16.What is the average of all the whole numbers from 11 to 37? (a) 26 (b) 13 (c) 25 (d) 24
  17. 17.What is the average of 37, 25, 37, 26, 29 and 14? (a) 29 (b) 27 (c) 30 (d) 28
  18. 18.What is the average of all the whole numbers from 51 to 69? (a) 61 (b) 18 (c) 9 (d) 60
  19. 19.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 37 (c) 86 (d) 63
  20. 20.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 69 (b) 55 (c) 57 (d) 16
  21. 21.What is the average of all the whole numbers from 21 to 43? (a) 22 (b) 33 (c) 11 (d) 32
  22. 22.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 40 (b) 26 (c) 82 (d) 27
  23. 23.What is the average of 69, 74, 71 and 50? (a) 65 (b) 88 (c) 67 (d) 66
  24. 24.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 56 (b) 12 (c) 47 (d) 50
  25. 25.What is the average of all the whole numbers from 36 to 50? (a) 7 (b) 14 (c) 44 (d) 43
  26. 26.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 41 (b) 42 (c) 103 (d) 50
  27. 27.What is the average of all the whole numbers from 59 to 99? (a) 40 (b) 79 (c) 80 (d) 20
  28. 28.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 46? (a) 20 (b) 64 (c) 46 (d) 48
  29. 29.What is the average of all the whole numbers from 49 to 67? (a) 9 (b) 59 (c) 18 (d) 58
  30. 30.What is the average of 53, 48, 68 and 55? (a) 55 (b) 57 (c) 58 (d) 56
  31. 31.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 16 (b) 77 (c) 17 (d) 37
  32. 32.What is the average of 27, 49, 22, 23, 25 and 70? (a) 38 (b) 36 (c) 37 (d) 35
  33. 33.What is the average of 44, 23, 21 and 32? (a) 29 (b) 30 (c) 31 (d) 40
  34. 34.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 28 (b) 25 (c) 15 (d) 37
  35. 35.What is the average of all the whole numbers from 48 to 84? (a) 66 (b) 36 (c) 67 (d) 18
  36. 36.What is the average of 59, 73, 65, 59, 69 and 119? (a) 74 (b) 75 (c) 76 (d) 73
  37. 37.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 75 (b) 51 (c) 15 (d) 39
  38. 38.What is the average of all the whole numbers from 42 to 54? (a) 49 (b) 6 (c) 12 (d) 48
  39. 39.What is the average of all the whole numbers from 34 to 66? (a) 51 (b) 32 (c) 50 (d) 16
  40. 40.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 24 (b) 18 (c) 7 (d) 35

Answer key

  1. 57
  2. 39
  3. 60
  4. 45
  5. 26
  6. 46
  7. 48
  8. 35
  9. 22
  10. 60
  11. 32
  12. 27
  13. 57
  14. 23
  15. 9
  16. 24
  17. 28
  18. 60
  19. 86
  20. 69
  21. 32
  22. 26
  23. 66
  24. 56
  25. 43
  26. 41
  27. 79
  28. 64
  29. 58
  30. 56
  31. 16
  32. 36
  33. 30
  34. 37
  35. 66
  36. 74
  37. 51
  38. 48
  39. 50
  40. 24

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