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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 408 · 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 6 to 22? (a) 8 (b) 15 (c) 14 (d) 16
  2. 2.What is the average of 22, 34, 18, 37 and 34? (a) 29 (b) 30 (c) 31 (d) 28
  3. 3.The average of 4 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 8 (b) 42 (c) 28 (d) 22
  4. 4.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 36 (b) 12 (c) 11 (d) 77
  5. 5.What is the average of 53, 52, 50, 50, 63 and 68? (a) 56 (b) 57 (c) 55 (d) 58
  6. 6.What is the average of all the whole numbers from 50 to 58? (a) 54 (b) 4 (c) 8 (d) 55
  7. 7.What is the average of 18, 24, 25, 5 and 28? (a) 25 (b) 21 (c) 19 (d) 20
  8. 8.What is the average of 85, 90, 70 and 71? (a) 79 (b) 80 (c) 81 (d) 78
  9. 9.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 36 (c) 69 (d) 41
  10. 10.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 16 (b) 68 (c) 64 (d) 76
  11. 11.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 49 (b) 33 (c) 31 (d) 20
  12. 12.What is the average of all the whole numbers from 22 to 46? (a) 12 (b) 24 (c) 34 (d) 35
  13. 13.What is the average of all the whole numbers from 58 to 98? (a) 78 (b) 40 (c) 79 (d) 20
  14. 14.What is the average of 19, 41, 21, 11, 27 and 37? (a) 28 (b) 27 (c) 26 (d) 25
  15. 15.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 34 (b) 24 (c) 55 (d) 65
  16. 16.What is the average of all the whole numbers from 39 to 57? (a) 49 (b) 18 (c) 48 (d) 9
  17. 17.The average of 5 numbers is 26. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 54 (b) 19 (c) 18 (d) 26
  18. 18.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 51? (a) 51 (b) 55 (c) 24 (d) 71
  19. 19.What is the average of 40, 39, 29 and 36? (a) 48 (b) 37 (c) 36 (d) 35
  20. 20.What is the average of 74, 59, 71, 50 and 41? (a) 58 (b) 59 (c) 60 (d) 61
  21. 21.What is the average of 34, 35, 33, 44 and 94? (a) 49 (b) 60 (c) 47 (d) 48
  22. 22.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 51? (a) 24 (b) 57 (c) 69 (d) 51
  23. 23.What is the average of all the whole numbers from 50 to 56? (a) 6 (b) 54 (c) 53 (d) 3
  24. 24.What is the average of 82, 78, 83, 69 and 53? (a) 74 (b) 72 (c) 75 (d) 73
  25. 25.What is the average of 67, 60, 62, 59, 47 and 71? (a) 61 (b) 60 (c) 63 (d) 62
  26. 26.What is the average of all the whole numbers from 56 to 80? (a) 69 (b) 68 (c) 12 (d) 24
  27. 27.What is the average of all the whole numbers from 45 to 51? (a) 6 (b) 49 (c) 48 (d) 3
  28. 28.What is the average of 37, 28, 33, 41 and 36? (a) 36 (b) 37 (c) 35 (d) 34
  29. 29.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 67 (b) 47 (c) 24 (d) 51
  30. 30.What is the average of all the whole numbers from 19 to 59? (a) 20 (b) 38 (c) 39 (d) 40
  31. 31.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 36? (a) 36 (b) 30 (c) 61 (d) 41
  32. 32.What is the average of all the whole numbers from 23 to 29? (a) 3 (b) 26 (c) 6 (d) 27
  33. 33.A batter has an average of 27 runs in 6 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 49 (c) 76 (d) 41
  34. 34.A batter has an average of 54 runs in 5 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 84 (c) 64 (d) 30
  35. 35.What is the average of all the whole numbers from 27 to 41? (a) 7 (b) 35 (c) 14 (d) 34
  36. 36.What is the average of 83, 85, 90 and 46? (a) 77 (b) 78 (c) 75 (d) 76
  37. 37.A batter has an average of 53 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 88 (c) 35 (d) 63
  38. 38.The average of 4 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 37 (b) 18 (c) 16 (d) 15
  39. 39.What is the average of 75, 76, 77 and 40? (a) 66 (b) 67 (c) 69 (d) 68
  40. 40.What is the average of all the whole numbers from 27 to 49? (a) 11 (b) 22 (c) 38 (d) 39

Answer key

  1. 14
  2. 29
  3. 28
  4. 11
  5. 56
  6. 54
  7. 20
  8. 79
  9. 69
  10. 76
  11. 49
  12. 34
  13. 78
  14. 26
  15. 55
  16. 48
  17. 18
  18. 71
  19. 36
  20. 59
  21. 48
  22. 69
  23. 53
  24. 73
  25. 61
  26. 68
  27. 48
  28. 35
  29. 67
  30. 39
  31. 61
  32. 26
  33. 76
  34. 84
  35. 34
  36. 76
  37. 88
  38. 15
  39. 67
  40. 38

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