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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 162 · 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 53, 40, 64 and 43? (a) 51 (b) 49 (c) 52 (d) 50
  2. 2.What is the average of all the whole numbers from 44 to 52? (a) 4 (b) 8 (c) 49 (d) 48
  3. 3.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 41 (c) 60 (d) 89
  4. 4.What is the average of 83, 77, 60, 77 and 48? (a) 70 (b) 68 (c) 69 (d) 71
  5. 5.What is the average of all the whole numbers from 6 to 30? (a) 19 (b) 12 (c) 24 (d) 18
  6. 6.What is the average of all the whole numbers from 59 to 77? (a) 18 (b) 9 (c) 69 (d) 68
  7. 7.What is the average of 38, 37, 16 and 1? (a) 23 (b) 22 (c) 25 (d) 24
  8. 8.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 24 (c) 94 (d) 69
  9. 9.What is the average of 29, 40, 55 and 52? (a) 45 (b) 46 (c) 44 (d) 43
  10. 10.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 2 (b) 1 (c) 47 (d) 22
  11. 11.What is the average of 27, 50, 37, 43, 33 and 50? (a) 41 (b) 48 (c) 40 (d) 39
  12. 12.The average of 6 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 17 (b) 22 (c) 6 (d) 33
  13. 13.What is the average of 52, 61, 64, 44 and 74? (a) 61 (b) 58 (c) 59 (d) 60
  14. 14.What is the average of all the whole numbers from 27 to 35? (a) 8 (b) 32 (c) 31 (d) 4
  15. 15.What is the average of 78, 81, 71, 68 and 37? (a) 66 (b) 68 (c) 69 (d) 67
  16. 16.What is the average of 61, 71, 74, 78 and 61? (a) 69 (b) 71 (c) 70 (d) 68
  17. 17.What is the average of 61, 64, 62 and 117? (a) 77 (b) 78 (c) 75 (d) 76
  18. 18.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 63 (b) 90 (c) 47 (d) 20
  19. 19.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 46? (a) 48 (b) 52 (c) 46 (d) 88
  20. 20.What is the average of 67, 42, 58, 61 and 37? (a) 52 (b) 55 (c) 54 (d) 53
  21. 21.What is the average of 74, 52, 59, 66, 70 and 69? (a) 65 (b) 66 (c) 78 (d) 64
  22. 22.What is the average of 55, 52, 52 and 57? (a) 72 (b) 55 (c) 54 (d) 53
  23. 23.What is the average of all the whole numbers from 56 to 66? (a) 61 (b) 5 (c) 10 (d) 62
  24. 24.A batter has an average of 51 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 63 (c) 99 (d) 48
  25. 25.What is the average of 17, 32, 24 and 39? (a) 30 (b) 28 (c) 27 (d) 29
  26. 26.What is the average of 48, 41, 45, 26 and 20? (a) 37 (b) 35 (c) 45 (d) 36
  27. 27.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 36? (a) 36 (b) 76 (c) 48 (d) 44
  28. 28.What is the average of all the whole numbers from 43 to 73? (a) 15 (b) 59 (c) 58 (d) 30
  29. 29.What is the average of 64, 60, 48, 60, 47 and 87? (a) 63 (b) 60 (c) 62 (d) 61
  30. 30.What is the average of all the whole numbers from 32 to 62? (a) 30 (b) 48 (c) 15 (d) 47
  31. 31.What is the average of 53, 52, 74, 67, 75 and 81? (a) 69 (b) 67 (c) 66 (d) 68
  32. 32.What is the average of 16, 28, 38, 29 and 19? (a) 27 (b) 26 (c) 28 (d) 25
  33. 33.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 70 (b) 64 (c) 54 (d) 112
  34. 34.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 76 (c) 40 (d) 46
  35. 35.A batter has an average of 22 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 32 (c) 20 (d) 42
  36. 36.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 34? (a) 38 (b) 66 (c) 34 (d) 36
  37. 37.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 30? (a) 20 (b) 48 (c) 30 (d) 32
  38. 38.What is the average of 55, 41, 50 and 26? (a) 45 (b) 42 (c) 44 (d) 43
  39. 39.What is the average of 28, 28, 43 and 45? (a) 35 (b) 48 (c) 37 (d) 36
  40. 40.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 82 (b) 16 (c) 56 (d) 42

Answer key

  1. 50
  2. 48
  3. 89
  4. 69
  5. 18
  6. 68
  7. 23
  8. 69
  9. 44
  10. 1
  11. 40
  12. 22
  13. 59
  14. 31
  15. 67
  16. 69
  17. 76
  18. 63
  19. 88
  20. 53
  21. 65
  22. 54
  23. 61
  24. 99
  25. 28
  26. 36
  27. 76
  28. 58
  29. 61
  30. 47
  31. 67
  32. 26
  33. 112
  34. 76
  35. 42
  36. 66
  37. 48
  38. 43
  39. 36
  40. 56

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