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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 885 · 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 81, 68, 87 and 52? (a) 72 (b) 71 (c) 96 (d) 73
  2. 2.What is the average of 19, 24, 27, 19, 19 and 90? (a) 33 (b) 35 (c) 32 (d) 34
  3. 3.What is the average of 47, 52, 65, 54 and 77? (a) 61 (b) 60 (c) 59 (d) 58
  4. 4.The average of 5 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 54 (b) 15 (c) 42 (d) 81
  5. 5.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 13 (b) 14 (c) 44 (d) 21
  6. 6.What is the average of 88, 66, 72 and 82? (a) 76 (b) 77 (c) 79 (d) 78
  7. 7.What is the average of all the whole numbers from 29 to 37? (a) 8 (b) 4 (c) 33 (d) 34
  8. 8.What is the average of all the whole numbers from 25 to 31? (a) 6 (b) 28 (c) 29 (d) 3
  9. 9.What is the average of all the whole numbers from 21 to 33? (a) 6 (b) 28 (c) 12 (d) 27
  10. 10.What is the average of 64, 51, 34, 36 and 60? (a) 51 (b) 49 (c) 48 (d) 50
  11. 11.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 24? (a) 12 (b) 24 (c) 34 (d) 26
  12. 12.What is the average of 25, 25, 24, 42 and 29? (a) 30 (b) 28 (c) 31 (d) 29
  13. 13.What is the average of 91, 70, 87 and 68? (a) 80 (b) 79 (c) 78 (d) 81
  14. 14.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 64 (b) 25 (c) 44 (d) 83
  15. 15.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 39 (b) 36 (c) 21 (d) 54
  16. 16.A batter has an average of 46 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 60 (b) 116 (c) 70 (d) 53
  17. 17.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 30 (b) 6 (c) 14 (d) 7
  18. 18.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 32 (b) 47 (c) 61 (d) 18
  19. 19.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 63 (c) 119 (d) 70
  20. 20.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 35 (b) 26 (c) 49 (d) 12
  21. 21.A batter has an average of 46 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 54 (c) 100 (d) 58
  22. 22.A batter has an average of 45 runs in 4 matches. How many runs are needed in the next match to raise the average to 53? (a) 85 (b) 53 (c) 61 (d) 40
  23. 23.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 5 (b) 18 (c) 27 (d) 14
  24. 24.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 54 (b) 24 (c) 64 (d) 34
  25. 25.What is the average of 37, 34, 22 and 27? (a) 29 (b) 40 (c) 30 (d) 31
  26. 26.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 30 (b) 36 (c) 11 (d) 17
  27. 27.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 28 (b) 42 (c) 49 (d) 63
  28. 28.What is the average of 68, 90, 77, 65, 79 and 83? (a) 77 (b) 76 (c) 79 (d) 78
  29. 29.What is the average of 53, 45, 46, 66 and 60? (a) 55 (b) 56 (c) 54 (d) 53
  30. 30.What is the average of 75, 48, 74 and 43? (a) 59 (b) 61 (c) 80 (d) 60
  31. 31.What is the average of all the whole numbers from 26 to 66? (a) 20 (b) 40 (c) 47 (d) 46
  32. 32.What is the average of all the whole numbers from 50 to 86? (a) 68 (b) 69 (c) 18 (d) 36
  33. 33.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 12 (b) 42 (c) 62 (d) 32
  34. 34.What is the average of 39, 20, 17 and 24? (a) 24 (b) 27 (c) 25 (d) 26
  35. 35.What is the average of 30, 52, 26 and 48? (a) 40 (b) 39 (c) 52 (d) 38
  36. 36.What is the average of all the whole numbers from 47 to 71? (a) 59 (b) 24 (c) 12 (d) 60
  37. 37.What is the average of 81, 82, 82, 79 and 31? (a) 70 (b) 73 (c) 72 (d) 71
  38. 38.What is the average of all the whole numbers from 43 to 79? (a) 62 (b) 36 (c) 18 (d) 61
  39. 39.What is the average of all the whole numbers from 5 to 13? (a) 9 (b) 10 (c) 8 (d) 4
  40. 40.The average of 7 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 35 (b) 65 (c) 64 (d) 66

Answer key

  1. 72
  2. 33
  3. 59
  4. 54
  5. 13
  6. 77
  7. 33
  8. 28
  9. 27
  10. 49
  11. 34
  12. 29
  13. 79
  14. 64
  15. 54
  16. 116
  17. 6
  18. 47
  19. 119
  20. 35
  21. 100
  22. 85
  23. 18
  24. 54
  25. 30
  26. 36
  27. 63
  28. 77
  29. 54
  30. 60
  31. 46
  32. 68
  33. 42
  34. 25
  35. 39
  36. 59
  37. 71
  38. 61
  39. 9
  40. 65

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