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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 201 · 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 41, 55, 32, 40, 49 and 65? (a) 48 (b) 46 (c) 47 (d) 49
  2. 2.What is the average of 78, 68, 83, 73 and 93? (a) 78 (b) 79 (c) 80 (d) 81
  3. 3.What is the average of all the whole numbers from 19 to 47? (a) 28 (b) 34 (c) 33 (d) 14
  4. 4.What is the average of all the whole numbers from 28 to 38? (a) 33 (b) 5 (c) 34 (d) 10
  5. 5.The average of 4 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 33 (b) 64 (c) 39 (d) 8
  6. 6.What is the average of 62, 67, 41, 52, 55 and 41? (a) 52 (b) 54 (c) 53 (d) 55
  7. 7.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 21 (c) 66 (d) 48
  8. 8.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 11 (b) 53 (c) 10 (d) 25
  9. 9.What is the average of 32, 48, 44, 45 and 51? (a) 45 (b) 44 (c) 43 (d) 55
  10. 10.What is the average of all the whole numbers from 44 to 58? (a) 7 (b) 51 (c) 52 (d) 14
  11. 11.A batter has an average of 46 runs in 7 matches. How many runs are needed in the next match to raise the average to 52? (a) 48 (b) 58 (c) 52 (d) 94
  12. 12.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 28 (b) 27 (c) 30 (d) 61
  13. 13.What is the average of 33, 12, 16, 30 and 34? (a) 25 (b) 27 (c) 24 (d) 26
  14. 14.What is the average of 11, 25, 16, 32 and 41? (a) 25 (b) 26 (c) 24 (d) 27
  15. 15.A batter has an average of 50 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 20 (b) 54 (c) 70 (d) 58
  16. 16.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 7 (b) 15 (c) 21 (d) 29
  17. 17.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 49 (b) 37 (c) 38 (d) 102
  18. 18.What is the average of 28, 54, 45, 49, 48 and 34? (a) 43 (b) 45 (c) 44 (d) 42
  19. 19.What is the average of 62, 58, 61 and 71? (a) 63 (b) 64 (c) 62 (d) 84
  20. 20.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 42 (b) 85 (c) 39 (d) 38
  21. 21.What is the average of 64, 86, 88, 83, 79 and 62? (a) 77 (b) 78 (c) 76 (d) 79
  22. 22.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 73 (c) 72 (d) 48
  23. 23.What is the average of all the whole numbers from 21 to 41? (a) 31 (b) 32 (c) 20 (d) 10
  24. 24.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 24 (b) 35 (c) 15 (d) 26
  25. 25.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 9 (c) 52 (d) 8
  26. 26.What is the average of all the whole numbers from 14 to 26? (a) 21 (b) 6 (c) 20 (d) 12
  27. 27.What is the average of all the whole numbers from 30 to 62? (a) 16 (b) 32 (c) 47 (d) 46
  28. 28.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 10 (b) 48 (c) 50 (d) 56
  29. 29.What is the average of 76, 88, 88, 72 and 46? (a) 73 (b) 74 (c) 75 (d) 76
  30. 30.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 30 (b) 46 (c) 87 (d) 71
  31. 31.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 18 (b) 30 (c) 34 (d) 14
  32. 32.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 22 (b) 21 (c) 12 (d) 23
  33. 33.A batter has an average of 56 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 12 (c) 62 (d) 68
  34. 34.What is the average of 24, 19, 12 and 49? (a) 28 (b) 25 (c) 26 (d) 27
  35. 35.A batter has an average of 25 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 24 (b) 29 (c) 49 (d) 33
  36. 36.What is the average of all the whole numbers from 36 to 50? (a) 44 (b) 43 (c) 7 (d) 14
  37. 37.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 62 (b) 47 (c) 18 (d) 91
  38. 38.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 35 (b) 11 (c) 17 (d) 10
  39. 39.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 87 (b) 41 (c) 43 (d) 40
  40. 40.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 33 (b) 58 (c) 61 (d) 30

Answer key

  1. 47
  2. 79
  3. 33
  4. 33
  5. 39
  6. 53
  7. 66
  8. 10
  9. 44
  10. 51
  11. 94
  12. 27
  13. 25
  14. 25
  15. 70
  16. 21
  17. 37
  18. 43
  19. 63
  20. 38
  21. 77
  22. 72
  23. 31
  24. 35
  25. 8
  26. 20
  27. 46
  28. 56
  29. 74
  30. 71
  31. 30
  32. 22
  33. 68
  34. 26
  35. 49
  36. 43
  37. 62
  38. 10
  39. 40
  40. 58

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