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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 440 · 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 27. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 59 (b) 27 (c) 2 (d) 3
  2. 2.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 37 (b) 26 (c) 8 (d) 19
  3. 3.What is the average of 64, 75, 67, 89 and 95? (a) 78 (b) 80 (c) 77 (d) 79
  4. 4.What is the average of all the whole numbers from 60 to 72? (a) 67 (b) 12 (c) 6 (d) 66
  5. 5.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 13 (b) 27 (c) 10 (d) 9
  6. 6.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 56 (b) 41 (c) 46 (d) 20
  7. 7.What is the average of 60, 65, 58, 72 and 55? (a) 64 (b) 62 (c) 61 (d) 63
  8. 8.What is the average of 44, 39, 27 and 10? (a) 31 (b) 30 (c) 40 (d) 29
  9. 9.What is the average of all the whole numbers from 15 to 29? (a) 7 (b) 23 (c) 14 (d) 22
  10. 10.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) 51 (b) 28 (c) 31 (d) 27
  11. 11.What is the average of all the whole numbers from 7 to 27? (a) 20 (b) 10 (c) 17 (d) 18
  12. 12.What is the average of 71, 69, 66, 83 and 91? (a) 95 (b) 77 (c) 75 (d) 76
  13. 13.What is the average of all the whole numbers from 38 to 52? (a) 7 (b) 45 (c) 46 (d) 14
  14. 14.What is the average of all the whole numbers from 55 to 87? (a) 72 (b) 16 (c) 71 (d) 32
  15. 15.What is the average of 16, 21, 13, 14 and 71? (a) 28 (b) 29 (c) 26 (d) 27
  16. 16.What is the average of all the whole numbers from 60 to 88? (a) 75 (b) 28 (c) 14 (d) 74
  17. 17.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 5 (b) 35 (c) 4 (d) 16
  18. 18.What is the average of 60, 60, 40, 53 and 12? (a) 45 (b) 44 (c) 46 (d) 47
  19. 19.What is the average of 39, 28, 31 and 54? (a) 37 (b) 39 (c) 40 (d) 38
  20. 20.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 27 (b) 19 (c) 6 (d) 14
  21. 21.What is the average of 28, 37, 13, 38, 17 and 23? (a) 28 (b) 26 (c) 25 (d) 27
  22. 22.What is the average of all the whole numbers from 51 to 57? (a) 55 (b) 3 (c) 6 (d) 54
  23. 23.What is the average of 19, 39, 33, 49, 37 and 27? (a) 34 (b) 35 (c) 36 (d) 33
  24. 24.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) 68 (b) 44 (c) 36 (d) 40
  25. 25.What is the average of 53, 49, 79 and 75? (a) 65 (b) 64 (c) 63 (d) 66
  26. 26.The average of 7 numbers is 42. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 28 (b) 66 (c) 42 (d) 80
  27. 27.A batter has an average of 28 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 40 (b) 34 (c) 64 (d) 36
  28. 28.The average of 8 numbers is 25. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 45 (b) 40 (c) 60 (d) 25
  29. 29.What is the average of 54, 34, 61 and 39? (a) 47 (b) 46 (c) 48 (d) 49
  30. 30.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 79 (c) 37 (d) 56
  31. 31.What is the average of all the whole numbers from 41 to 75? (a) 59 (b) 34 (c) 58 (d) 17
  32. 32.What is the average of all the whole numbers from 18 to 28? (a) 23 (b) 24 (c) 10 (d) 5
  33. 33.The average of 6 numbers is 21. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 7 (b) 45 (c) 21 (d) 6
  34. 34.What is the average of 74, 78, 68, 76 and 89? (a) 79 (b) 78 (c) 77 (d) 76
  35. 35.What is the average of 35, 24, 17, 18 and 41? (a) 28 (b) 27 (c) 26 (d) 29
  36. 36.What is the average of all the whole numbers from 47 to 75? (a) 62 (b) 14 (c) 61 (d) 28
  37. 37.What is the average of all the whole numbers from 35 to 75? (a) 55 (b) 56 (c) 20 (d) 40
  38. 38.What is the average of all the whole numbers from 41 to 47? (a) 44 (b) 6 (c) 45 (d) 3
  39. 39.What is the average of all the whole numbers from 15 to 35? (a) 10 (b) 20 (c) 26 (d) 25
  40. 40.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 45 (b) 66 (c) 101 (d) 61

Answer key

  1. 2
  2. 26
  3. 78
  4. 66
  5. 9
  6. 56
  7. 62
  8. 30
  9. 22
  10. 51
  11. 17
  12. 76
  13. 45
  14. 71
  15. 27
  16. 74
  17. 4
  18. 45
  19. 38
  20. 19
  21. 26
  22. 54
  23. 34
  24. 68
  25. 64
  26. 66
  27. 64
  28. 60
  29. 47
  30. 79
  31. 58
  32. 23
  33. 6
  34. 77
  35. 27
  36. 61
  37. 55
  38. 44
  39. 25
  40. 101

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