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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 558 · 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 all the whole numbers from 50 to 60? (a) 55 (b) 5 (c) 56 (d) 10
  2. 2.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 47 (b) 24 (c) 29 (d) 6
  3. 3.What is the average of all the whole numbers from 50 to 64? (a) 7 (b) 58 (c) 57 (d) 14
  4. 4.What is the average of all the whole numbers from 59 to 71? (a) 65 (b) 6 (c) 66 (d) 12
  5. 5.What is the average of all the whole numbers from 9 to 25? (a) 18 (b) 17 (c) 16 (d) 8
  6. 6.What is the average of all the whole numbers from 44 to 74? (a) 15 (b) 60 (c) 59 (d) 30
  7. 7.What is the average of 25, 39, 36, 39 and 51? (a) 40 (b) 37 (c) 39 (d) 38
  8. 8.What is the average of all the whole numbers from 33 to 55? (a) 11 (b) 44 (c) 45 (d) 22
  9. 9.A batter has an average of 40 runs in 8 matches. How many runs are needed in the next match to raise the average to 44? (a) 76 (b) 36 (c) 44 (d) 48
  10. 10.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 64 (c) 40 (d) 88
  11. 11.What is the average of all the whole numbers from 58 to 96? (a) 78 (b) 38 (c) 19 (d) 77
  12. 12.What is the average of all the whole numbers from 55 to 89? (a) 72 (b) 34 (c) 17 (d) 73
  13. 13.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 27 (b) 61 (c) 37 (d) 40
  14. 14.What is the average of all the whole numbers from 27 to 41? (a) 7 (b) 34 (c) 14 (d) 35
  15. 15.What is the average of 50, 55, 61, 49 and 35? (a) 49 (b) 51 (c) 50 (d) 52
  16. 16.A batter has an average of 48 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 73 (b) 53 (c) 58 (d) 25
  17. 17.What is the average of all the whole numbers from 22 to 62? (a) 20 (b) 42 (c) 43 (d) 40
  18. 18.What is the average of 30, 15, 19 and 48? (a) 30 (b) 29 (c) 28 (d) 27
  19. 19.What is the average of all the whole numbers from 6 to 20? (a) 14 (b) 13 (c) 12 (d) 7
  20. 20.What is the average of 31, 41, 57 and 55? (a) 47 (b) 48 (c) 45 (d) 46
  21. 21.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 41 (b) 78 (c) 53 (d) 16
  22. 22.What is the average of 59, 49, 68, 71 and 53? (a) 61 (b) 60 (c) 75 (d) 59
  23. 23.What is the average of 31, 40, 42 and 15? (a) 33 (b) 34 (c) 31 (d) 32
  24. 24.What is the average of all the whole numbers from 8 to 48? (a) 40 (b) 29 (c) 28 (d) 20
  25. 25.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 38? (a) 32 (b) 62 (c) 46 (d) 38
  26. 26.What is the average of 65, 74, 56 and 61? (a) 65 (b) 63 (c) 64 (d) 66
  27. 27.What is the average of 66, 61, 84 and 93? (a) 76 (b) 78 (c) 77 (d) 75
  28. 28.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 48? (a) 51 (b) 12 (c) 48 (d) 57
  29. 29.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 43 (b) 22 (c) 29 (d) 8
  30. 30.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 32 (b) 16 (c) 18 (d) 34
  31. 31.What is the average of all the whole numbers from 48 to 66? (a) 58 (b) 9 (c) 18 (d) 57
  32. 32.What is the average of all the whole numbers from 18 to 28? (a) 10 (b) 5 (c) 24 (d) 23
  33. 33.A batter has an average of 22 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 80 (c) 38 (d) 102
  34. 34.What is the average of 19, 21, 18, 22 and 80? (a) 33 (b) 40 (c) 31 (d) 32
  35. 35.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 89 (b) 40 (c) 39 (d) 44
  36. 36.What is the average of all the whole numbers from 45 to 83? (a) 38 (b) 19 (c) 64 (d) 65
  37. 37.What is the average of 28, 9, 13, 17 and 53? (a) 25 (b) 30 (c) 24 (d) 23
  38. 38.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 11 (b) 24 (c) 4 (d) 3
  39. 39.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 24? (a) 16 (b) 38 (c) 26 (d) 24
  40. 40.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 77 (b) 40 (c) 76 (d) 41

Answer key

  1. 55
  2. 29
  3. 57
  4. 65
  5. 17
  6. 59
  7. 38
  8. 44
  9. 76
  10. 88
  11. 77
  12. 72
  13. 61
  14. 34
  15. 50
  16. 73
  17. 42
  18. 28
  19. 13
  20. 46
  21. 53
  22. 60
  23. 32
  24. 28
  25. 62
  26. 64
  27. 76
  28. 57
  29. 29
  30. 32
  31. 57
  32. 23
  33. 102
  34. 32
  35. 39
  36. 64
  37. 24
  38. 3
  39. 38
  40. 76

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