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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 946 · 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 25, 41, 34, 36 and 29? (a) 32 (b) 35 (c) 34 (d) 33
  2. 2.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 24? (a) 12 (b) 33 (c) 24 (d) 27
  3. 3.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 28 (b) 15 (c) 14 (d) 27
  4. 4.What is the average of all the whole numbers from 29 to 37? (a) 8 (b) 4 (c) 34 (d) 33
  5. 5.What is the average of 16, 20, 25 and 59? (a) 30 (b) 40 (c) 29 (d) 31
  6. 6.What is the average of all the whole numbers from 22 to 60? (a) 19 (b) 42 (c) 38 (d) 41
  7. 7.What is the average of 75, 56, 63 and 74? (a) 67 (b) 66 (c) 69 (d) 68
  8. 8.What is the average of 67, 75, 85, 82 and 86? (a) 80 (b) 81 (c) 78 (d) 79
  9. 9.What is the average of 30, 9, 25 and 16? (a) 19 (b) 20 (c) 21 (d) 22
  10. 10.What is the average of 75, 76, 76 and 17? (a) 62 (b) 60 (c) 63 (d) 61
  11. 11.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 47 (b) 27 (c) 99 (d) 28
  12. 12.What is the average of 49, 36, 37 and 54? (a) 45 (b) 46 (c) 44 (d) 43
  13. 13.What is the average of all the whole numbers from 59 to 73? (a) 67 (b) 66 (c) 7 (d) 14
  14. 14.What is the average of all the whole numbers from 58 to 86? (a) 73 (b) 14 (c) 72 (d) 28
  15. 15.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 53 (b) 50 (c) 59 (d) 12
  16. 16.What is the average of all the whole numbers from 36 to 44? (a) 8 (b) 4 (c) 41 (d) 40
  17. 17.What is the average of 85, 71, 72 and 52? (a) 72 (b) 70 (c) 69 (d) 71
  18. 18.What is the average of all the whole numbers from 37 to 49? (a) 6 (b) 12 (c) 43 (d) 44
  19. 19.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 69 (b) 68 (c) 40 (d) 36
  20. 20.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 20 (b) 23 (c) 4 (d) 39
  21. 21.What is the average of all the whole numbers from 37 to 69? (a) 53 (b) 54 (c) 32 (d) 16
  22. 22.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 16 (b) 54 (c) 40 (d) 78
  23. 23.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 63 (c) 49 (d) 28
  24. 24.What is the average of all the whole numbers from 46 to 76? (a) 61 (b) 30 (c) 62 (d) 15
  25. 25.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 57? (a) 16 (b) 71 (c) 59 (d) 57
  26. 26.What is the average of all the whole numbers from 54 to 92? (a) 74 (b) 73 (c) 19 (d) 38
  27. 27.What is the average of all the whole numbers from 11 to 41? (a) 15 (b) 26 (c) 27 (d) 30
  28. 28.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) 10 (b) 56 (c) 64 (d) 58
  29. 29.What is the average of all the whole numbers from 58 to 84? (a) 26 (b) 13 (c) 71 (d) 72
  30. 30.A batter has an average of 60 runs in 8 matches. How many runs are needed in the next match to raise the average to 68? (a) 68 (b) 72 (c) 76 (d) 132
  31. 31.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 32 (c) 30 (d) 8
  32. 32.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 15 (b) 44 (c) 32 (d) 35
  33. 33.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 8 (b) 80 (c) 47 (d) 41
  34. 34.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 41? (a) 12 (b) 51 (c) 43 (d) 41
  35. 35.What is the average of all the whole numbers from 52 to 72? (a) 20 (b) 63 (c) 10 (d) 62
  36. 36.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 46 (b) 32 (c) 74 (d) 88
  37. 37.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 38 (b) 39 (c) 89 (d) 44
  38. 38.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 15 (b) 31 (c) 26 (d) 20
  39. 39.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 62? (a) 125 (b) 70 (c) 69 (d) 62
  40. 40.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 24 (b) 45 (c) 66 (d) 87

Answer key

  1. 33
  2. 33
  3. 27
  4. 33
  5. 30
  6. 41
  7. 67
  8. 79
  9. 20
  10. 61
  11. 27
  12. 44
  13. 66
  14. 72
  15. 59
  16. 40
  17. 70
  18. 43
  19. 68
  20. 23
  21. 53
  22. 54
  23. 63
  24. 61
  25. 71
  26. 73
  27. 26
  28. 64
  29. 71
  30. 132
  31. 36
  32. 44
  33. 47
  34. 51
  35. 62
  36. 74
  37. 38
  38. 31
  39. 125
  40. 66

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