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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 913 · 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 21 to 33? (a) 28 (b) 12 (c) 27 (d) 6
  2. 2.What is the average of all the whole numbers from 16 to 54? (a) 35 (b) 36 (c) 38 (d) 19
  3. 3.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 15 (c) 59 (d) 50
  4. 4.What is the average of all the whole numbers from 40 to 60? (a) 20 (b) 10 (c) 50 (d) 51
  5. 5.What is the average of all the whole numbers from 39 to 73? (a) 57 (b) 17 (c) 56 (d) 34
  6. 6.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 12 (b) 19 (c) 47 (d) 40
  7. 7.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 75 (b) 44 (c) 38 (d) 7
  8. 8.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 79 (b) 40 (c) 43 (d) 4
  9. 9.What is the average of 33, 29, 53, 30, 39 and 62? (a) 40 (b) 43 (c) 42 (d) 41
  10. 10.What is the average of 19, 39, 44, 26 and 27? (a) 32 (b) 33 (c) 31 (d) 30
  11. 11.The average of 5 numbers is 41. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 83 (b) 38 (c) 37 (d) 41
  12. 12.What is the average of all the whole numbers from 29 to 39? (a) 5 (b) 35 (c) 10 (d) 34
  13. 13.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 83 (b) 42 (c) 8 (d) 49
  14. 14.What is the average of all the whole numbers from 24 to 36? (a) 6 (b) 12 (c) 31 (d) 30
  15. 15.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 13 (b) 14 (c) 24 (d) 25
  16. 16.What is the average of 34, 46, 52, 34 and 24? (a) 39 (b) 38 (c) 40 (d) 37
  17. 17.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 58? (a) 58 (b) 63 (c) 40 (d) 93
  18. 18.The average of 7 numbers is 13. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 13 (b) 35 (c) 43 (d) 21
  19. 19.What is the average of 14, 40, 39 and 19? (a) 29 (b) 27 (c) 28 (d) 30
  20. 20.What is the average of 22, 39, 43, 44, 16 and 22? (a) 32 (b) 31 (c) 30 (d) 33
  21. 21.The average of 7 numbers is 18. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 14 (b) 30 (c) 18 (d) 34
  22. 22.What is the average of 39, 41, 15 and 17? (a) 29 (b) 27 (c) 28 (d) 30
  23. 23.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 40 (b) 29 (c) 34 (d) 64
  24. 24.What is the average of all the whole numbers from 60 to 92? (a) 32 (b) 16 (c) 77 (d) 76
  25. 25.What is the average of all the whole numbers from 46 to 86? (a) 40 (b) 67 (c) 20 (d) 66
  26. 26.What is the average of 88, 68, 86 and 62? (a) 78 (b) 75 (c) 76 (d) 77
  27. 27.What is the average of 56, 78, 63 and 71? (a) 66 (b) 69 (c) 68 (d) 67
  28. 28.What is the average of all the whole numbers from 39 to 71? (a) 56 (b) 16 (c) 32 (d) 55
  29. 29.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 58? (a) 60 (b) 68 (c) 58 (d) 12
  30. 30.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 61? (a) 64 (b) 30 (c) 88 (d) 61
  31. 31.What is the average of all the whole numbers from 55 to 73? (a) 18 (b) 9 (c) 64 (d) 65
  32. 32.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 29 (b) 35 (c) 12 (d) 26
  33. 33.What is the average of 52, 42, 53 and 13? (a) 42 (b) 39 (c) 40 (d) 41
  34. 34.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 28 (b) 31 (c) 27 (d) 51
  35. 35.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 47 (b) 56 (c) 15 (d) 44
  36. 36.What is the average of all the whole numbers from 9 to 49? (a) 20 (b) 40 (c) 30 (d) 29
  37. 37.What is the average of all the whole numbers from 9 to 29? (a) 18 (b) 20 (c) 10 (d) 19
  38. 38.What is the average of 54, 72, 71, 51 and 82? (a) 67 (b) 65 (c) 68 (d) 66
  39. 39.What is the average of all the whole numbers from 38 to 46? (a) 4 (b) 8 (c) 42 (d) 43
  40. 40.What is the average of all the whole numbers from 45 to 85? (a) 66 (b) 65 (c) 20 (d) 40

Answer key

  1. 27
  2. 35
  3. 59
  4. 50
  5. 56
  6. 47
  7. 44
  8. 43
  9. 41
  10. 31
  11. 37
  12. 34
  13. 49
  14. 30
  15. 25
  16. 38
  17. 93
  18. 43
  19. 28
  20. 31
  21. 30
  22. 28
  23. 64
  24. 76
  25. 66
  26. 76
  27. 67
  28. 55
  29. 68
  30. 88
  31. 64
  32. 35
  33. 40
  34. 51
  35. 56
  36. 29
  37. 19
  38. 66
  39. 42
  40. 65

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