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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 174 · 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 8 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 8 (b) 75 (c) 38 (d) 45
  2. 2.What is the average of 39, 16, 17 and 32? (a) 25 (b) 27 (c) 28 (d) 26
  3. 3.What is the average of 76, 62, 77 and 53? (a) 67 (b) 66 (c) 68 (d) 69
  4. 4.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) 101 (b) 50 (c) 44 (d) 43
  5. 5.What is the average of all the whole numbers from 18 to 24? (a) 6 (b) 3 (c) 22 (d) 21
  6. 6.What is the average of 57, 29, 47 and 39? (a) 42 (b) 44 (c) 45 (d) 43
  7. 7.A batter has an average of 23 runs in 8 matches. How many runs are needed in the next match to raise the average to 25? (a) 41 (b) 18 (c) 27 (d) 25
  8. 8.What is the average of all the whole numbers from 29 to 39? (a) 34 (b) 10 (c) 5 (d) 35
  9. 9.What is the average of all the whole numbers from 42 to 50? (a) 46 (b) 8 (c) 47 (d) 4
  10. 10.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 33? (a) 39 (b) 33 (c) 51 (d) 24
  11. 11.What is the average of all the whole numbers from 7 to 35? (a) 14 (b) 22 (c) 21 (d) 28
  12. 12.What is the average of all the whole numbers from 18 to 50? (a) 32 (b) 34 (c) 35 (d) 16
  13. 13.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 61? (a) 67 (b) 48 (c) 103 (d) 61
  14. 14.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 59 (c) 75 (d) 32
  15. 15.What is the average of 42, 39, 43 and 88? (a) 55 (b) 53 (c) 54 (d) 52
  16. 16.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 70 (b) 48 (c) 62 (d) 102
  17. 17.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 8 (c) 28 (d) 22
  18. 18.What is the average of 84, 65, 75 and 56? (a) 72 (b) 69 (c) 71 (d) 70
  19. 19.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 28 (b) 40 (c) 29 (d) 83
  20. 20.What is the average of 40, 21, 23, 31, 39 and 62? (a) 38 (b) 35 (c) 37 (d) 36
  21. 21.What is the average of all the whole numbers from 36 to 66? (a) 52 (b) 30 (c) 15 (d) 51
  22. 22.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 71 (b) 24 (c) 37 (d) 58
  23. 23.What is the average of 51, 74, 64, 66 and 75? (a) 65 (b) 66 (c) 68 (d) 67
  24. 24.What is the average of all the whole numbers from 35 to 43? (a) 4 (b) 39 (c) 40 (d) 8
  25. 25.The average of 4 numbers is 24. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 9 (b) 53 (c) 10 (d) 24
  26. 26.What is the average of 8, 30, 35 and 19? (a) 22 (b) 25 (c) 23 (d) 24
  27. 27.The average of 7 numbers is 27. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 10 (b) 57 (c) 27 (d) 9
  28. 28.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 76 (b) 52 (c) 40 (d) 44
  29. 29.What is the average of 57, 58, 55, 72 and 103? (a) 71 (b) 68 (c) 70 (d) 69
  30. 30.What is the average of all the whole numbers from 35 to 65? (a) 50 (b) 15 (c) 30 (d) 51
  31. 31.A batter has an average of 48 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 54 (b) 30 (c) 51 (d) 78
  32. 32.What is the average of 60, 49, 77, 62, 47 and 77? (a) 64 (b) 62 (c) 63 (d) 61
  33. 33.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 29? (a) 36 (b) 49 (c) 29 (d) 71
  34. 34.What is the average of 59, 58, 75, 72, 81 and 57? (a) 69 (b) 67 (c) 66 (d) 68
  35. 35.What is the average of all the whole numbers from 10 to 22? (a) 17 (b) 16 (c) 6 (d) 12
  36. 36.What is the average of all the whole numbers from 19 to 41? (a) 31 (b) 11 (c) 22 (d) 30
  37. 37.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 49 (b) 84 (c) 42 (d) 85
  38. 38.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 20 (c) 42 (d) 52
  39. 39.What is the average of all the whole numbers from 40 to 64? (a) 52 (b) 24 (c) 53 (d) 12
  40. 40.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 93 (b) 48 (c) 66 (d) 21

Answer key

  1. 45
  2. 26
  3. 67
  4. 43
  5. 21
  6. 43
  7. 41
  8. 34
  9. 46
  10. 51
  11. 21
  12. 34
  13. 103
  14. 75
  15. 53
  16. 102
  17. 28
  18. 70
  19. 28
  20. 36
  21. 51
  22. 58
  23. 66
  24. 39
  25. 9
  26. 23
  27. 9
  28. 76
  29. 69
  30. 50
  31. 78
  32. 62
  33. 71
  34. 67
  35. 16
  36. 30
  37. 84
  38. 52
  39. 52
  40. 66

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