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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 710 · 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 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 36 (b) 71 (c) 43 (d) 8
  2. 2.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 62 (b) 35 (c) 90 (d) 69
  3. 3.What is the average of 81, 67, 74 and 82? (a) 76 (b) 75 (c) 77 (d) 78
  4. 4.The average of 4 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 19 (c) 20 (d) 12
  5. 5.What is the average of all the whole numbers from 37 to 73? (a) 56 (b) 55 (c) 18 (d) 36
  6. 6.What is the average of 84, 62, 86, 58 and 65? (a) 73 (b) 71 (c) 70 (d) 72
  7. 7.What is the average of all the whole numbers from 28 to 54? (a) 26 (b) 42 (c) 13 (d) 41
  8. 8.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 32 (b) 10 (c) 30 (d) 38
  9. 9.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 38 (b) 58 (c) 28 (d) 34
  10. 10.What is the average of 45, 35, 42, 54, 53 and 5? (a) 39 (b) 38 (c) 40 (d) 41
  11. 11.What is the average of all the whole numbers from 41 to 47? (a) 3 (b) 45 (c) 44 (d) 6
  12. 12.What is the average of 73, 76, 67, 76 and 93? (a) 78 (b) 79 (c) 76 (d) 77
  13. 13.The average of 6 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 5 (b) 21 (c) 10 (d) 6
  14. 14.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 32 (b) 2 (c) 3 (d) 69
  15. 15.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 44? (a) 54 (b) 12 (c) 46 (d) 44
  16. 16.What is the average of all the whole numbers from 24 to 32? (a) 8 (b) 28 (c) 29 (d) 4
  17. 17.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 42 (b) 34 (c) 27 (d) 62
  18. 18.What is the average of all the whole numbers from 38 to 54? (a) 16 (b) 8 (c) 46 (d) 47
  19. 19.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 44 (b) 36 (c) 68 (d) 40
  20. 20.What is the average of 36, 25, 37 and 38? (a) 36 (b) 34 (c) 33 (d) 35
  21. 21.What is the average of 21, 33, 41, 41, 24 and 14? (a) 30 (b) 28 (c) 29 (d) 31
  22. 22.What is the average of all the whole numbers from 60 to 84? (a) 24 (b) 12 (c) 73 (d) 72
  23. 23.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) 12 (b) 48 (c) 51 (d) 57
  24. 24.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 6 (b) 44 (c) 77 (d) 39
  25. 25.What is the average of 69, 54, 59 and 62? (a) 60 (b) 61 (c) 63 (d) 62
  26. 26.What is the average of 38, 37, 44, 56 and 60? (a) 48 (b) 49 (c) 46 (d) 47
  27. 27.A batter has an average of 37 runs in 8 matches. How many runs are needed in the next match to raise the average to 41? (a) 45 (b) 36 (c) 41 (d) 73
  28. 28.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 31 (b) 35 (c) 67 (d) 40
  29. 29.The average of 6 numbers is 35. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 71 (b) 31 (c) 35 (d) 30
  30. 30.What is the average of 60, 50, 63 and 23? (a) 51 (b) 48 (c) 49 (d) 50
  31. 31.What is the average of all the whole numbers from 46 to 76? (a) 30 (b) 15 (c) 61 (d) 62
  32. 32.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 59? (a) 61 (b) 16 (c) 73 (d) 59
  33. 33.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 39 (b) 73 (c) 59 (d) 25
  34. 34.What is the average of all the whole numbers from 44 to 80? (a) 18 (b) 36 (c) 63 (d) 62
  35. 35.What is the average of all the whole numbers from 23 to 45? (a) 35 (b) 11 (c) 22 (d) 34
  36. 36.What is the average of 77, 71, 64, 72 and 91? (a) 74 (b) 77 (c) 76 (d) 75
  37. 37.What is the average of all the whole numbers from 48 to 74? (a) 62 (b) 26 (c) 13 (d) 61
  38. 38.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 79 (b) 15 (c) 53 (d) 41
  39. 39.What is the average of all the whole numbers from 9 to 17? (a) 14 (b) 4 (c) 13 (d) 8
  40. 40.What is the average of all the whole numbers from 5 to 31? (a) 26 (b) 19 (c) 13 (d) 18

Answer key

  1. 43
  2. 90
  3. 76
  4. 20
  5. 55
  6. 71
  7. 41
  8. 38
  9. 58
  10. 39
  11. 44
  12. 77
  13. 5
  14. 2
  15. 54
  16. 28
  17. 62
  18. 46
  19. 68
  20. 34
  21. 29
  22. 72
  23. 57
  24. 44
  25. 61
  26. 47
  27. 73
  28. 67
  29. 30
  30. 49
  31. 61
  32. 73
  33. 59
  34. 62
  35. 34
  36. 75
  37. 61
  38. 53
  39. 13
  40. 18

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