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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 353 · 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 86, 88, 84, 83, 64 and 33? (a) 73 (b) 72 (c) 75 (d) 74
  2. 2.What is the average of all the whole numbers from 59 to 77? (a) 18 (b) 68 (c) 69 (d) 9
  3. 3.What is the average of 28, 14, 21 and 37? (a) 27 (b) 25 (c) 26 (d) 24
  4. 4.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 14 (b) 17 (c) 4 (d) 27
  5. 5.What is the average of all the whole numbers from 9 to 15? (a) 3 (b) 6 (c) 13 (d) 12
  6. 6.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 34 (b) 28 (c) 29 (d) 69
  7. 7.What is the average of 43, 46, 40, 31 and 10? (a) 35 (b) 34 (c) 33 (d) 36
  8. 8.What is the average of all the whole numbers from 17 to 37? (a) 20 (b) 28 (c) 10 (d) 27
  9. 9.What is the average of 58, 42, 36, 36 and 43? (a) 45 (b) 43 (c) 42 (d) 44
  10. 10.What is the average of 26, 30, 42, 47 and 45? (a) 38 (b) 37 (c) 40 (d) 39
  11. 11.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 10 (b) 53 (c) 59 (d) 51
  12. 12.What is the average of all the whole numbers from 27 to 51? (a) 24 (b) 12 (c) 40 (d) 39
  13. 13.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 32 (c) 24 (d) 19
  14. 14.What is the average of all the whole numbers from 35 to 73? (a) 38 (b) 19 (c) 54 (d) 55
  15. 15.A batter has an average of 47 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 27 (b) 50 (c) 53 (d) 74
  16. 16.What is the average of 28, 28, 34 and 38? (a) 33 (b) 31 (c) 34 (d) 32
  17. 17.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 33 (b) 10 (c) 9 (d) 70
  18. 18.What is the average of all the whole numbers from 39 to 71? (a) 56 (b) 55 (c) 32 (d) 16
  19. 19.What is the average of all the whole numbers from 9 to 21? (a) 6 (b) 15 (c) 16 (d) 12
  20. 20.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 52? (a) 30 (b) 77 (c) 52 (d) 57
  21. 21.What is the average of all the whole numbers from 42 to 62? (a) 52 (b) 53 (c) 10 (d) 20
  22. 22.What is the average of 17, 26, 24 and 41? (a) 27 (b) 26 (c) 36 (d) 28
  23. 23.What is the average of 78, 83, 68 and 51? (a) 69 (b) 71 (c) 72 (d) 70
  24. 24.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 44 (b) 41 (c) 40 (d) 89
  25. 25.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 36 (b) 27 (c) 57 (d) 33
  26. 26.What is the average of 76, 75, 59, 76, 50 and 36? (a) 62 (b) 63 (c) 64 (d) 61
  27. 27.What is the average of 38, 17, 25 and 48? (a) 32 (b) 31 (c) 33 (d) 34
  28. 28.What is the average of 41, 50, 52, 40 and 22? (a) 40 (b) 43 (c) 42 (d) 41
  29. 29.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 28? (a) 28 (b) 33 (c) 43 (d) 20
  30. 30.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 49 (b) 28 (c) 25 (d) 46
  31. 31.What is the average of all the whole numbers from 18 to 34? (a) 27 (b) 26 (c) 8 (d) 16
  32. 32.What is the average of all the whole numbers from 7 to 25? (a) 9 (b) 17 (c) 16 (d) 18
  33. 33.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 23 (b) 14 (c) 11 (d) 20
  34. 34.What is the average of 68, 57, 70 and 93? (a) 73 (b) 71 (c) 96 (d) 72
  35. 35.A batter has an average of 35 runs in 9 matches. How many runs are needed in the next match to raise the average to 37? (a) 39 (b) 55 (c) 37 (d) 20
  36. 36.What is the average of 44, 43, 62, 51 and 60? (a) 51 (b) 65 (c) 53 (d) 52
  37. 37.What is the average of all the whole numbers from 33 to 61? (a) 28 (b) 14 (c) 48 (d) 47
  38. 38.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 12 (b) 78 (c) 50 (d) 40
  39. 39.What is the average of 35, 42, 26 and 13? (a) 29 (b) 30 (c) 28 (d) 31
  40. 40.The average of 7 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 76 (b) 25 (c) 26 (d) 37

Answer key

  1. 73
  2. 68
  3. 25
  4. 17
  5. 12
  6. 28
  7. 34
  8. 27
  9. 43
  10. 38
  11. 59
  12. 39
  13. 32
  14. 54
  15. 74
  16. 32
  17. 9
  18. 55
  19. 15
  20. 77
  21. 52
  22. 27
  23. 70
  24. 40
  25. 57
  26. 62
  27. 32
  28. 41
  29. 43
  30. 49
  31. 26
  32. 16
  33. 23
  34. 72
  35. 55
  36. 52
  37. 47
  38. 50
  39. 29
  40. 25

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