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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 211 · 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 66, 48, 47 and 75? (a) 59 (b) 61 (c) 58 (d) 60
  2. 2.What is the average of all the whole numbers from 44 to 50? (a) 47 (b) 48 (c) 3 (d) 6
  3. 3.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 31 (b) 32 (c) 69 (d) 34
  4. 4.What is the average of all the whole numbers from 45 to 85? (a) 20 (b) 66 (c) 40 (d) 65
  5. 5.What is the average of all the whole numbers from 8 to 44? (a) 26 (b) 27 (c) 36 (d) 18
  6. 6.What is the average of all the whole numbers from 7 to 17? (a) 12 (b) 5 (c) 13 (d) 10
  7. 7.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 23? (a) 26 (b) 21 (c) 41 (d) 23
  8. 8.What is the average of all the whole numbers from 24 to 52? (a) 28 (b) 14 (c) 39 (d) 38
  9. 9.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 12 (b) 24 (c) 15 (d) 27
  10. 10.What is the average of all the whole numbers from 53 to 75? (a) 65 (b) 11 (c) 22 (d) 64
  11. 11.What is the average of all the whole numbers from 7 to 13? (a) 3 (b) 11 (c) 10 (d) 6
  12. 12.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 51 (c) 20 (d) 66
  13. 13.What is the average of all the whole numbers from 16 to 40? (a) 29 (b) 28 (c) 24 (d) 12
  14. 14.What is the average of all the whole numbers from 21 to 57? (a) 40 (b) 18 (c) 39 (d) 36
  15. 15.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 27 (b) 36 (c) 75 (d) 28
  16. 16.What is the average of 32, 43, 20, 37, 27 and 39? (a) 34 (b) 33 (c) 32 (d) 35
  17. 17.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 24 (b) 72 (c) 66 (d) 84
  18. 18.What is the average of 64, 84, 66 and 102? (a) 81 (b) 79 (c) 78 (d) 80
  19. 19.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 36 (b) 34 (c) 35 (d) 20
  20. 20.What is the average of all the whole numbers from 15 to 27? (a) 6 (b) 22 (c) 12 (d) 21
  21. 21.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 79 (b) 55 (c) 30 (d) 61
  22. 22.What is the average of 40, 60, 46, 70, 67 and 47? (a) 55 (b) 56 (c) 54 (d) 66
  23. 23.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 11 (b) 26 (c) 57 (d) 12
  24. 24.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 56? (a) 59 (b) 27 (c) 80 (d) 56
  25. 25.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 29 (b) 40 (c) 10 (d) 21
  26. 26.A batter has an average of 57 runs in 3 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 65 (c) 8 (d) 61
  27. 27.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 60 (b) 41 (c) 31 (d) 12
  28. 28.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 50 (b) 101 (c) 44 (d) 43
  29. 29.What is the average of 47, 68, 46, 52 and 82? (a) 61 (b) 60 (c) 59 (d) 58
  30. 30.A batter has an average of 36 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 81 (c) 45 (d) 46
  31. 31.What is the average of 18, 39, 38 and 17? (a) 28 (b) 29 (c) 30 (d) 27
  32. 32.What is the average of all the whole numbers from 10 to 46? (a) 28 (b) 29 (c) 18 (d) 36
  33. 33.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 30 (b) 83 (c) 69 (d) 44
  34. 34.The average of 7 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 53 (b) 51 (c) 28 (d) 52
  35. 35.The average of 8 numbers is 27. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 56 (b) 27 (c) 13 (d) 14
  36. 36.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 50? (a) 60 (b) 50 (c) 104 (d) 56
  37. 37.A batter has an average of 30 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 50 (c) 20 (d) 34
  38. 38.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 16 (b) 39 (c) 82 (d) 15
  39. 39.What is the average of all the whole numbers from 47 to 61? (a) 55 (b) 14 (c) 54 (d) 7
  40. 40.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 53 (b) 29 (c) 54 (d) 28

Answer key

  1. 59
  2. 47
  3. 31
  4. 65
  5. 26
  6. 12
  7. 41
  8. 38
  9. 24
  10. 64
  11. 10
  12. 51
  13. 28
  14. 39
  15. 27
  16. 33
  17. 84
  18. 79
  19. 35
  20. 21
  21. 79
  22. 55
  23. 11
  24. 80
  25. 29
  26. 65
  27. 41
  28. 43
  29. 59
  30. 81
  31. 28
  32. 28
  33. 69
  34. 52
  35. 13
  36. 104
  37. 50
  38. 15
  39. 54
  40. 53

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