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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 607 · 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 15 to 49? (a) 34 (b) 33 (c) 32 (d) 17
  2. 2.What is the average of 74, 54, 64 and 72? (a) 88 (b) 67 (c) 65 (d) 66
  3. 3.What is the average of 15, 17, 8, 12 and 63? (a) 23 (b) 24 (c) 22 (d) 25
  4. 4.A batter has an average of 54 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 118 (b) 70 (c) 64 (d) 62
  5. 5.What is the average of 43, 52, 56, 63 and 51? (a) 55 (b) 53 (c) 52 (d) 54
  6. 6.What is the average of all the whole numbers from 16 to 28? (a) 22 (b) 12 (c) 23 (d) 6
  7. 7.What is the average of all the whole numbers from 60 to 68? (a) 4 (b) 64 (c) 65 (d) 8
  8. 8.What is the average of all the whole numbers from 42 to 80? (a) 61 (b) 62 (c) 19 (d) 38
  9. 9.What is the average of 82, 58, 58 and 74? (a) 68 (b) 69 (c) 67 (d) 70
  10. 10.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 24 (b) 50 (c) 34 (d) 30
  11. 11.A batter has an average of 31 runs in 5 matches. How many runs are needed in the next match to raise the average to 37? (a) 43 (b) 67 (c) 37 (d) 36
  12. 12.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 62 (b) 56 (c) 110 (d) 60
  13. 13.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 8 (b) 50 (c) 56 (d) 98
  14. 14.What is the average of all the whole numbers from 27 to 49? (a) 38 (b) 39 (c) 22 (d) 11
  15. 15.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 10 (b) 26 (c) 22 (d) 14
  16. 16.What is the average of all the whole numbers from 50 to 62? (a) 6 (b) 57 (c) 56 (d) 12
  17. 17.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 28 (b) 21 (c) 20 (d) 13
  18. 18.What is the average of 18, 18, 40 and 48? (a) 30 (b) 33 (c) 31 (d) 32
  19. 19.What is the average of all the whole numbers from 33 to 59? (a) 13 (b) 26 (c) 47 (d) 46
  20. 20.What is the average of 47, 41, 31 and 41? (a) 39 (b) 41 (c) 40 (d) 42
  21. 21.What is the average of all the whole numbers from 54 to 60? (a) 58 (b) 57 (c) 6 (d) 3
  22. 22.What is the average of all the whole numbers from 39 to 67? (a) 53 (b) 28 (c) 14 (d) 54
  23. 23.What is the average of 20, 43, 43, 38, 33 and 21? (a) 32 (b) 35 (c) 34 (d) 33
  24. 24.What is the average of 48, 65, 43 and 64? (a) 56 (b) 54 (c) 55 (d) 57
  25. 25.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 60 (b) 90 (c) 55 (d) 40
  26. 26.What is the average of 54, 57, 51 and 50? (a) 52 (b) 55 (c) 54 (d) 53
  27. 27.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 31 (b) 64 (c) 25 (d) 26
  28. 28.The average of 7 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 39 (b) 33 (c) 34 (d) 79
  29. 29.What is the average of all the whole numbers from 22 to 62? (a) 40 (b) 43 (c) 20 (d) 42
  30. 30.What is the average of 33, 34, 17, 9 and 17? (a) 24 (b) 22 (c) 21 (d) 23
  31. 31.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 28? (a) 10 (b) 28 (c) 30 (d) 36
  32. 32.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 24 (b) 20 (c) 30 (d) 14
  33. 33.What is the average of 49, 41, 28 and 50? (a) 43 (b) 56 (c) 42 (d) 41
  34. 34.What is the average of 69, 74, 81 and 56? (a) 72 (b) 70 (c) 71 (d) 69
  35. 35.What is the average of 26, 45, 23 and 42? (a) 34 (b) 36 (c) 35 (d) 33
  36. 36.What is the average of all the whole numbers from 43 to 67? (a) 56 (b) 24 (c) 55 (d) 12
  37. 37.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 39 (b) 35 (c) 34 (d) 79
  38. 38.What is the average of 69, 77, 75, 75 and 64? (a) 73 (b) 71 (c) 72 (d) 90
  39. 39.What is the average of all the whole numbers from 22 to 30? (a) 4 (b) 8 (c) 27 (d) 26
  40. 40.What is the average of all the whole numbers from 36 to 76? (a) 40 (b) 56 (c) 57 (d) 20

Answer key

  1. 32
  2. 66
  3. 23
  4. 118
  5. 53
  6. 22
  7. 64
  8. 61
  9. 68
  10. 50
  11. 67
  12. 110
  13. 56
  14. 38
  15. 22
  16. 56
  17. 28
  18. 31
  19. 46
  20. 40
  21. 57
  22. 53
  23. 33
  24. 55
  25. 90
  26. 53
  27. 25
  28. 33
  29. 42
  30. 22
  31. 36
  32. 30
  33. 42
  34. 70
  35. 34
  36. 55
  37. 34
  38. 72
  39. 26
  40. 56

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