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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 276 · 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 14 to 24? (a) 10 (b) 20 (c) 5 (d) 19
  2. 2.What is the average of all the whole numbers from 17 to 27? (a) 10 (b) 22 (c) 5 (d) 23
  3. 3.What is the average of 55, 71, 60, 59 and 35? (a) 57 (b) 55 (c) 56 (d) 70
  4. 4.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 48 (b) 95 (c) 55 (d) 63
  5. 5.What is the average of 41, 22, 15, 26, 19 and 33? (a) 26 (b) 27 (c) 25 (d) 28
  6. 6.What is the average of all the whole numbers from 6 to 46? (a) 26 (b) 20 (c) 40 (d) 27
  7. 7.What is the average of all the whole numbers from 8 to 22? (a) 14 (b) 16 (c) 15 (d) 7
  8. 8.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 45 (b) 13 (c) 21 (d) 12
  9. 9.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 35 (b) 20 (c) 19 (d) 74
  10. 10.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 26 (b) 25 (c) 14 (d) 27
  11. 11.What is the average of all the whole numbers from 52 to 58? (a) 6 (b) 56 (c) 3 (d) 55
  12. 12.What is the average of all the whole numbers from 38 to 46? (a) 42 (b) 43 (c) 8 (d) 4
  13. 13.What is the average of 77, 60, 55 and 60? (a) 63 (b) 64 (c) 62 (d) 84
  14. 14.A batter has an average of 39 runs in 6 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 43 (c) 14 (d) 53
  15. 15.What is the average of all the whole numbers from 18 to 34? (a) 16 (b) 8 (c) 27 (d) 26
  16. 16.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 49 (b) 34 (c) 35 (d) 101
  17. 17.What is the average of 37, 47, 56, 56 and 29? (a) 45 (b) 47 (c) 44 (d) 46
  18. 18.What is the average of all the whole numbers from 14 to 20? (a) 3 (b) 6 (c) 18 (d) 17
  19. 19.What is the average of all the whole numbers from 10 to 34? (a) 24 (b) 12 (c) 23 (d) 22
  20. 20.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 57 (b) 20 (c) 39 (d) 41
  21. 21.What is the average of 84, 73, 80 and 71? (a) 76 (b) 77 (c) 79 (d) 78
  22. 22.A batter has an average of 37 runs in 9 matches. How many runs are needed in the next match to raise the average to 44? (a) 107 (b) 44 (c) 51 (d) 70
  23. 23.What is the average of 30, 44, 44 and 10? (a) 32 (b) 34 (c) 33 (d) 31
  24. 24.A batter has an average of 49 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 48 (b) 97 (c) 61 (d) 55
  25. 25.A batter has an average of 56 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 36 (b) 68 (c) 92 (d) 62
  26. 26.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 63? (a) 105 (b) 49 (c) 70 (d) 63
  27. 27.What is the average of 52, 70, 56, 50 and 62? (a) 59 (b) 60 (c) 57 (d) 58
  28. 28.What is the average of 32, 38, 38 and 80? (a) 48 (b) 46 (c) 47 (d) 49
  29. 29.The average of 5 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 49 (b) 15 (c) 71 (d) 37
  30. 30.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 49 (b) 25 (c) 6 (d) 30
  31. 31.What is the average of all the whole numbers from 10 to 50? (a) 30 (b) 20 (c) 40 (d) 31
  32. 32.What is the average of all the whole numbers from 55 to 89? (a) 72 (b) 17 (c) 34 (d) 73
  33. 33.What is the average of 55, 59, 68, 68, 57 and 29? (a) 55 (b) 56 (c) 57 (d) 58
  34. 34.What is the average of 49, 38, 35 and 30? (a) 39 (b) 37 (c) 40 (d) 38
  35. 35.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 50 (b) 27 (c) 24 (d) 47
  36. 36.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 31 (b) 24 (c) 51 (d) 58
  37. 37.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 53 (b) 47 (c) 92 (d) 8
  38. 38.A batter has an average of 27 runs in 4 matches. How many runs are needed in the next match to raise the average to 33? (a) 57 (b) 30 (c) 33 (d) 39
  39. 39.What is the average of all the whole numbers from 32 to 48? (a) 40 (b) 8 (c) 41 (d) 16
  40. 40.What is the average of all the whole numbers from 34 to 40? (a) 3 (b) 38 (c) 37 (d) 6

Answer key

  1. 19
  2. 22
  3. 56
  4. 95
  5. 26
  6. 26
  7. 15
  8. 12
  9. 19
  10. 26
  11. 55
  12. 42
  13. 63
  14. 53
  15. 26
  16. 34
  17. 45
  18. 17
  19. 22
  20. 57
  21. 77
  22. 107
  23. 32
  24. 97
  25. 92
  26. 105
  27. 58
  28. 47
  29. 49
  30. 30
  31. 30
  32. 72
  33. 56
  34. 38
  35. 47
  36. 51
  37. 53
  38. 57
  39. 40
  40. 37

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