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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 551 · 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 7 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 65 (b) 34 (c) 52 (d) 21
  2. 2.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 27 (b) 78 (c) 38 (d) 26
  3. 3.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 24 (b) 92 (c) 44 (d) 25
  4. 4.What is the average of 30, 54, 39, 35 and 57? (a) 42 (b) 43 (c) 45 (d) 44
  5. 5.What is the average of 94, 66, 84, 64, 74 and 92? (a) 81 (b) 78 (c) 80 (d) 79
  6. 6.What is the average of 38, 19, 30, 26, 26 and 17? (a) 25 (b) 27 (c) 28 (d) 26
  7. 7.What is the average of 32, 38, 47 and 39? (a) 40 (b) 52 (c) 38 (d) 39
  8. 8.A batter has an average of 21 runs in 4 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 56 (c) 35 (d) 57
  9. 9.What is the average of 70, 60, 71 and 55? (a) 64 (b) 65 (c) 66 (d) 63
  10. 10.What is the average of all the whole numbers from 47 to 79? (a) 16 (b) 63 (c) 32 (d) 64
  11. 11.The average of 7 numbers is 31. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 8 (b) 31 (c) 7 (d) 66
  12. 12.What is the average of 58, 40, 47 and 63? (a) 54 (b) 52 (c) 53 (d) 51
  13. 13.What is the average of all the whole numbers from 18 to 26? (a) 23 (b) 8 (c) 4 (d) 22
  14. 14.What is the average of all the whole numbers from 21 to 41? (a) 20 (b) 32 (c) 10 (d) 31
  15. 15.A batter has an average of 50 runs in 7 matches. How many runs are needed in the next match to raise the average to 53? (a) 56 (b) 53 (c) 24 (d) 74
  16. 16.What is the average of 40, 39, 39, 45 and 67? (a) 47 (b) 48 (c) 45 (d) 46
  17. 17.The average of 7 numbers is 19. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 19 (b) 36 (c) 31 (d) 14
  18. 18.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 28 (c) 44 (d) 58
  19. 19.What is the average of 66, 93, 65 and 92? (a) 79 (b) 80 (c) 78 (d) 81
  20. 20.A batter has an average of 57 runs in 8 matches. How many runs are needed in the next match to raise the average to 59? (a) 59 (b) 75 (c) 61 (d) 18
  21. 21.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 33? (a) 69 (b) 37 (c) 33 (d) 40
  22. 22.What is the average of 26, 15, 6 and 33? (a) 22 (b) 21 (c) 20 (d) 19
  23. 23.What is the average of all the whole numbers from 29 to 55? (a) 13 (b) 43 (c) 26 (d) 42
  24. 24.What is the average of 65, 54, 44 and 53? (a) 53 (b) 55 (c) 54 (d) 72
  25. 25.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 37 (b) 89 (c) 44 (d) 38
  26. 26.What is the average of 22, 22, 38 and 66? (a) 36 (b) 38 (c) 39 (d) 37
  27. 27.What is the average of 68, 71, 52 and 61? (a) 62 (b) 63 (c) 84 (d) 64
  28. 28.What is the average of 66, 52, 48 and 82? (a) 63 (b) 61 (c) 62 (d) 64
  29. 29.What is the average of all the whole numbers from 38 to 60? (a) 11 (b) 22 (c) 49 (d) 50
  30. 30.What is the average of 20, 24, 23, 34, 21 and 16? (a) 23 (b) 25 (c) 22 (d) 24
  31. 31.What is the average of 40, 40, 38 and 94? (a) 53 (b) 55 (c) 54 (d) 52
  32. 32.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 63 (c) 42 (d) 91
  33. 33.What is the average of all the whole numbers from 10 to 22? (a) 17 (b) 12 (c) 16 (d) 6
  34. 34.What is the average of all the whole numbers from 17 to 23? (a) 3 (b) 20 (c) 21 (d) 6
  35. 35.What is the average of 43, 61, 38, 40 and 78? (a) 52 (b) 53 (c) 51 (d) 65
  36. 36.What is the average of all the whole numbers from 22 to 42? (a) 20 (b) 10 (c) 32 (d) 33
  37. 37.What is the average of 75, 64, 81 and 76? (a) 75 (b) 74 (c) 73 (d) 76
  38. 38.What is the average of 67, 68, 65 and 28? (a) 76 (b) 57 (c) 58 (d) 56
  39. 39.What is the average of all the whole numbers from 11 to 45? (a) 17 (b) 34 (c) 29 (d) 28
  40. 40.What is the average of all the whole numbers from 57 to 93? (a) 75 (b) 76 (c) 18 (d) 36

Answer key

  1. 52
  2. 26
  3. 24
  4. 43
  5. 79
  6. 26
  7. 39
  8. 56
  9. 64
  10. 63
  11. 7
  12. 52
  13. 22
  14. 31
  15. 74
  16. 46
  17. 31
  18. 58
  19. 79
  20. 75
  21. 69
  22. 20
  23. 42
  24. 54
  25. 37
  26. 37
  27. 63
  28. 62
  29. 49
  30. 23
  31. 53
  32. 91
  33. 16
  34. 20
  35. 52
  36. 32
  37. 74
  38. 57
  39. 28
  40. 75

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