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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 584 · 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 6 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 30 (b) 13 (c) 21 (d) 38
  2. 2.What is the average of 68, 46, 58, 50, 43 and 53? (a) 54 (b) 52 (c) 53 (d) 55
  3. 3.What is the average of 36, 34, 27, 22 and 61? (a) 45 (b) 37 (c) 35 (d) 36
  4. 4.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 32 (b) 11 (c) 18 (d) 39
  5. 5.What is the average of all the whole numbers from 43 to 53? (a) 49 (b) 48 (c) 5 (d) 10
  6. 6.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 101 (b) 24 (c) 23 (d) 48
  7. 7.What is the average of all the whole numbers from 6 to 30? (a) 18 (b) 24 (c) 12 (d) 19
  8. 8.What is the average of all the whole numbers from 23 to 51? (a) 38 (b) 28 (c) 14 (d) 37
  9. 9.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 48? (a) 53 (b) 25 (c) 68 (d) 48
  10. 10.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 71 (b) 34 (c) 16 (d) 17
  11. 11.A batter has an average of 21 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 37 (c) 72 (d) 93
  12. 12.What is the average of all the whole numbers from 36 to 56? (a) 20 (b) 10 (c) 46 (d) 47
  13. 13.What is the average of all the whole numbers from 20 to 52? (a) 37 (b) 16 (c) 32 (d) 36
  14. 14.What is the average of 51, 47, 70, 57, 65 and 40? (a) 54 (b) 66 (c) 55 (d) 56
  15. 15.What is the average of all the whole numbers from 21 to 57? (a) 39 (b) 36 (c) 40 (d) 18
  16. 16.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 28? (a) 48 (b) 24 (c) 32 (d) 28
  17. 17.A batter has an average of 42 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 36 (c) 78 (d) 50
  18. 18.A batter has an average of 28 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 44 (b) 32 (c) 36 (d) 60
  19. 19.What is the average of 64, 51, 38 and 43? (a) 51 (b) 50 (c) 48 (d) 49
  20. 20.What is the average of all the whole numbers from 9 to 31? (a) 22 (b) 20 (c) 21 (d) 11
  21. 21.What is the average of all the whole numbers from 56 to 88? (a) 16 (b) 32 (c) 73 (d) 72
  22. 22.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 4 (c) 53 (d) 27
  23. 23.What is the average of 41, 27, 26, 53 and 43? (a) 38 (b) 37 (c) 39 (d) 40
  24. 24.What is the average of 22, 29, 33 and 40? (a) 30 (b) 31 (c) 33 (d) 32
  25. 25.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 49? (a) 24 (b) 49 (c) 69 (d) 53
  26. 26.What is the average of 49, 29, 29, 36, 31 and 48? (a) 36 (b) 38 (c) 39 (d) 37
  27. 27.What is the average of 37, 27, 19, 38 and 9? (a) 25 (b) 28 (c) 27 (d) 26
  28. 28.What is the average of 57, 45, 71, 65, 42 and 62? (a) 58 (b) 56 (c) 59 (d) 57
  29. 29.What is the average of all the whole numbers from 8 to 18? (a) 5 (b) 13 (c) 14 (d) 10
  30. 30.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) 24 (c) 47 (d) 27
  31. 31.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 30 (c) 37 (d) 55
  32. 32.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 61 (b) 53 (c) 10 (d) 55
  33. 33.What is the average of all the whole numbers from 32 to 38? (a) 3 (b) 36 (c) 6 (d) 35
  34. 34.What is the average of all the whole numbers from 46 to 52? (a) 50 (b) 3 (c) 49 (d) 6
  35. 35.What is the average of all the whole numbers from 53 to 69? (a) 61 (b) 8 (c) 62 (d) 16
  36. 36.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 67 (b) 36 (c) 40 (d) 71
  37. 37.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 35? (a) 24 (b) 41 (c) 53 (d) 35
  38. 38.What is the average of 28, 28, 21, 40 and 38? (a) 33 (b) 30 (c) 32 (d) 31
  39. 39.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 48 (b) 93 (c) 24 (d) 69
  40. 40.What is the average of all the whole numbers from 32 to 40? (a) 4 (b) 37 (c) 8 (d) 36

Answer key

  1. 38
  2. 53
  3. 36
  4. 39
  5. 48
  6. 23
  7. 18
  8. 37
  9. 68
  10. 16
  11. 93
  12. 46
  13. 36
  14. 55
  15. 39
  16. 48
  17. 78
  18. 60
  19. 49
  20. 20
  21. 72
  22. 30
  23. 38
  24. 31
  25. 69
  26. 37
  27. 26
  28. 57
  29. 13
  30. 47
  31. 55
  32. 61
  33. 35
  34. 49
  35. 61
  36. 71
  37. 53
  38. 31
  39. 69
  40. 36

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