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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 599 · 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.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 43 (b) 28 (c) 82 (d) 67
  2. 2.What is the average of 51, 77, 73, 51, 59 and 61? (a) 63 (b) 64 (c) 61 (d) 62
  3. 3.What is the average of all the whole numbers from 27 to 65? (a) 47 (b) 46 (c) 19 (d) 38
  4. 4.What is the average of 45, 68, 50 and 69? (a) 59 (b) 57 (c) 60 (d) 58
  5. 5.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 30 (b) 42 (c) 10 (d) 22
  6. 6.What is the average of 43, 47, 52, 44, 39 and 51? (a) 48 (b) 45 (c) 46 (d) 47
  7. 7.What is the average of all the whole numbers from 7 to 15? (a) 8 (b) 11 (c) 12 (d) 4
  8. 8.What is the average of 47, 51, 61 and 69? (a) 76 (b) 56 (c) 58 (d) 57
  9. 9.What is the average of all the whole numbers from 51 to 59? (a) 55 (b) 56 (c) 8 (d) 4
  10. 10.What is the average of all the whole numbers from 40 to 72? (a) 16 (b) 57 (c) 56 (d) 32
  11. 11.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 37 (b) 72 (c) 69 (d) 40
  12. 12.A batter has an average of 26 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 32 (c) 41 (d) 15
  13. 13.What is the average of 13, 36, 27, 20 and 29? (a) 26 (b) 27 (c) 24 (d) 25
  14. 14.What is the average of all the whole numbers from 31 to 67? (a) 18 (b) 50 (c) 49 (d) 36
  15. 15.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 61 (b) 29 (c) 11 (d) 12
  16. 16.What is the average of all the whole numbers from 20 to 58? (a) 40 (b) 39 (c) 19 (d) 38
  17. 17.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 49 (b) 62 (c) 69 (d) 104
  18. 18.What is the average of 53, 47, 58, 66 and 51? (a) 54 (b) 55 (c) 57 (d) 56
  19. 19.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 18 (b) 47 (c) 44 (d) 59
  20. 20.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 59 (b) 16 (c) 17 (d) 28
  21. 21.What is the average of all the whole numbers from 13 to 53? (a) 20 (b) 33 (c) 34 (d) 40
  22. 22.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 28 (b) 5 (c) 6 (d) 13
  23. 23.What is the average of 68, 64, 66 and 86? (a) 73 (b) 72 (c) 71 (d) 70
  24. 24.What is the average of 73, 89, 63 and 71? (a) 76 (b) 73 (c) 74 (d) 75
  25. 25.What is the average of all the whole numbers from 39 to 55? (a) 8 (b) 48 (c) 16 (d) 47
  26. 26.What is the average of all the whole numbers from 54 to 70? (a) 63 (b) 8 (c) 62 (d) 16
  27. 27.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 38 (c) 40 (d) 62
  28. 28.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 44 (b) 35 (c) 34 (d) 90
  29. 29.What is the average of 83, 56, 81, 64 and 61? (a) 69 (b) 70 (c) 71 (d) 68
  30. 30.The average of 7 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 16 (b) 31 (c) 7 (d) 22
  31. 31.What is the average of 32, 46, 49, 45, 50 and 18? (a) 41 (b) 48 (c) 39 (d) 40
  32. 32.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 46 (b) 24 (c) 25 (d) 28
  33. 33.The average of 5 numbers is 38. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 79 (b) 26 (c) 38 (d) 27
  34. 34.What is the average of 64, 37, 49 and 50? (a) 50 (b) 49 (c) 52 (d) 51
  35. 35.What is the average of all the whole numbers from 12 to 44? (a) 32 (b) 29 (c) 16 (d) 28
  36. 36.A batter has an average of 33 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 49 (b) 73 (c) 41 (d) 40
  37. 37.What is the average of 17, 38, 25 and 48? (a) 33 (b) 31 (c) 34 (d) 32
  38. 38.A batter has an average of 56 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 68 (b) 48 (c) 62 (d) 104
  39. 39.What is the average of 49, 29, 36 and 50? (a) 40 (b) 42 (c) 41 (d) 43
  40. 40.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 47? (a) 47 (b) 48 (c) 87 (d) 55

Answer key

  1. 67
  2. 62
  3. 46
  4. 58
  5. 30
  6. 46
  7. 11
  8. 57
  9. 55
  10. 56
  11. 72
  12. 41
  13. 25
  14. 49
  15. 11
  16. 39
  17. 104
  18. 55
  19. 59
  20. 16
  21. 33
  22. 5
  23. 71
  24. 74
  25. 47
  26. 62
  27. 62
  28. 34
  29. 69
  30. 22
  31. 40
  32. 46
  33. 26
  34. 50
  35. 28
  36. 73
  37. 32
  38. 104
  39. 41
  40. 87

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