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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 52 · 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 45, 32, 41 and 6? (a) 31 (b) 33 (c) 32 (d) 30
  2. 2.What is the average of all the whole numbers from 10 to 50? (a) 40 (b) 20 (c) 31 (d) 30
  3. 3.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 67 (c) 32 (d) 45
  4. 4.What is the average of 15, 30, 16, 7, 25 and 33? (a) 23 (b) 21 (c) 20 (d) 22
  5. 5.What is the average of 33, 33, 48, 52 and 49? (a) 42 (b) 44 (c) 45 (d) 43
  6. 6.What is the average of 57, 75, 57, 64, 56 and 81? (a) 66 (b) 65 (c) 64 (d) 78
  7. 7.What is the average of all the whole numbers from 51 to 91? (a) 72 (b) 71 (c) 20 (d) 40
  8. 8.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 34 (b) 35 (c) 103 (d) 49
  9. 9.What is the average of 43, 61, 60 and 32? (a) 50 (b) 51 (c) 49 (d) 48
  10. 10.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 50 (b) 30 (c) 34 (d) 24
  11. 11.What is the average of 69, 65, 72 and 46? (a) 63 (b) 62 (c) 64 (d) 84
  12. 12.What is the average of 39, 10, 13 and 38? (a) 26 (b) 24 (c) 27 (d) 25
  13. 13.What is the average of all the whole numbers from 17 to 41? (a) 12 (b) 30 (c) 29 (d) 24
  14. 14.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 32? (a) 54 (b) 80 (c) 38 (d) 32
  15. 15.What is the average of all the whole numbers from 51 to 63? (a) 57 (b) 6 (c) 12 (d) 58
  16. 16.What is the average of all the whole numbers from 47 to 65? (a) 18 (b) 9 (c) 57 (d) 56
  17. 17.What is the average of 34, 29, 32, 29 and 66? (a) 39 (b) 40 (c) 37 (d) 38
  18. 18.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 25 (b) 60 (c) 65 (d) 80
  19. 19.What is the average of all the whole numbers from 18 to 32? (a) 14 (b) 7 (c) 25 (d) 26
  20. 20.What is the average of all the whole numbers from 41 to 75? (a) 34 (b) 58 (c) 17 (d) 59
  21. 21.What is the average of all the whole numbers from 58 to 92? (a) 76 (b) 17 (c) 34 (d) 75
  22. 22.What is the average of all the whole numbers from 44 to 80? (a) 18 (b) 62 (c) 36 (d) 63
  23. 23.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 18 (b) 39 (c) 4 (d) 3
  24. 24.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 56? (a) 58 (b) 10 (c) 64 (d) 56
  25. 25.What is the average of 19, 31, 36, 44 and 15? (a) 29 (b) 30 (c) 28 (d) 31
  26. 26.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 4 (b) 13 (c) 25 (d) 16
  27. 27.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 95 (b) 20 (c) 65 (d) 50
  28. 28.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 79 (b) 67 (c) 42 (d) 30
  29. 29.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 16 (b) 6 (c) 11 (d) 21
  30. 30.What is the average of 55, 48, 59, 52, 60 and 2? (a) 47 (b) 48 (c) 46 (d) 45
  31. 31.What is the average of all the whole numbers from 58 to 72? (a) 7 (b) 66 (c) 14 (d) 65
  32. 32.What is the average of 80, 60, 75, 58 and 67? (a) 67 (b) 68 (c) 85 (d) 69
  33. 33.What is the average of 83, 83, 86, 84, 80 and 46? (a) 79 (b) 77 (c) 78 (d) 76
  34. 34.A batter has an average of 52 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 115 (c) 63 (d) 66
  35. 35.What is the average of 17, 17, 11 and 51? (a) 32 (b) 24 (c) 23 (d) 25
  36. 36.What is the average of all the whole numbers from 23 to 63? (a) 43 (b) 40 (c) 20 (d) 44
  37. 37.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 38 (b) 21 (c) 49 (d) 32
  38. 38.What is the average of all the whole numbers from 13 to 31? (a) 23 (b) 18 (c) 22 (d) 9
  39. 39.A batter has an average of 37 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 42 (c) 79 (d) 51
  40. 40.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) 12 (b) 30 (c) 36 (d) 27

Answer key

  1. 31
  2. 30
  3. 67
  4. 21
  5. 43
  6. 65
  7. 71
  8. 34
  9. 49
  10. 50
  11. 63
  12. 25
  13. 29
  14. 80
  15. 57
  16. 56
  17. 38
  18. 80
  19. 25
  20. 58
  21. 75
  22. 62
  23. 3
  24. 64
  25. 29
  26. 16
  27. 65
  28. 67
  29. 16
  30. 46
  31. 65
  32. 68
  33. 77
  34. 115
  35. 24
  36. 43
  37. 49
  38. 22
  39. 79
  40. 36

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