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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 711 · 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 63, 79, 68, 68 and 52? (a) 67 (b) 66 (c) 68 (d) 65
  2. 2.The average of 6 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 29 (b) 78 (c) 28 (d) 38
  3. 3.What is the average of 54, 40, 50, 41 and 15? (a) 41 (b) 39 (c) 40 (d) 50
  4. 4.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 46 (b) 58 (c) 40 (d) 24
  5. 5.What is the average of 33, 51, 55, 40 and 26? (a) 41 (b) 42 (c) 40 (d) 43
  6. 6.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 35 (c) 59 (d) 84
  7. 7.What is the average of 31, 49, 35, 56, 45 and 36? (a) 43 (b) 41 (c) 42 (d) 44
  8. 8.What is the average of all the whole numbers from 22 to 54? (a) 38 (b) 32 (c) 39 (d) 16
  9. 9.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 25 (c) 95 (d) 70
  10. 10.What is the average of 14, 16, 42, 42, 17 and 43? (a) 29 (b) 31 (c) 30 (d) 28
  11. 11.What is the average of 68, 48, 63 and 37? (a) 53 (b) 54 (c) 72 (d) 55
  12. 12.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 49 (b) 70 (c) 37 (d) 16
  13. 13.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) 14 (c) 31 (d) 36
  14. 14.What is the average of 82, 73, 58, 67 and 75? (a) 73 (b) 71 (c) 72 (d) 70
  15. 15.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 34 (b) 24 (c) 35 (d) 14
  16. 16.What is the average of 29, 42, 52, 55 and 32? (a) 41 (b) 44 (c) 42 (d) 43
  17. 17.What is the average of 7, 33, 11, 23, 8 and 38? (a) 19 (b) 21 (c) 20 (d) 24
  18. 18.A batter has an average of 36 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 48 (b) 60 (c) 42 (d) 96
  19. 19.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 4 (b) 50 (c) 53 (d) 99
  20. 20.What is the average of all the whole numbers from 60 to 78? (a) 9 (b) 69 (c) 70 (d) 18
  21. 21.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 62? (a) 86 (b) 62 (c) 30 (d) 68
  22. 22.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 35? (a) 64 (b) 42 (c) 63 (d) 35
  23. 23.The average of 8 numbers is 38. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 74 (b) 38 (c) 16 (d) 52
  24. 24.What is the average of 22, 41, 29 and 48? (a) 34 (b) 35 (c) 36 (d) 37
  25. 25.What is the average of 40, 27, 41 and 12? (a) 31 (b) 40 (c) 29 (d) 30
  26. 26.What is the average of all the whole numbers from 18 to 42? (a) 12 (b) 24 (c) 30 (d) 31
  27. 27.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 54 (b) 12 (c) 87 (d) 45
  28. 28.What is the average of 13, 23, 25 and 35? (a) 23 (b) 25 (c) 24 (d) 32
  29. 29.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 48 (c) 8 (d) 44
  30. 30.What is the average of all the whole numbers from 15 to 25? (a) 5 (b) 21 (c) 10 (d) 20
  31. 31.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 30 (b) 27 (c) 4 (d) 53
  32. 32.What is the average of all the whole numbers from 40 to 68? (a) 14 (b) 55 (c) 28 (d) 54
  33. 33.What is the average of all the whole numbers from 58 to 88? (a) 15 (b) 73 (c) 74 (d) 30
  34. 34.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 12 (b) 40 (c) 46 (d) 37
  35. 35.What is the average of 46, 35, 39 and 28? (a) 38 (b) 36 (c) 37 (d) 39
  36. 36.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 50? (a) 14 (b) 50 (c) 52 (d) 62
  37. 37.What is the average of all the whole numbers from 57 to 95? (a) 76 (b) 77 (c) 19 (d) 38
  38. 38.What is the average of all the whole numbers from 26 to 46? (a) 36 (b) 37 (c) 10 (d) 20
  39. 39.What is the average of 81, 74, 66, 71, 87 and 89? (a) 77 (b) 80 (c) 78 (d) 79
  40. 40.What is the average of 66, 58, 65, 68 and 18? (a) 57 (b) 56 (c) 54 (d) 55

Answer key

  1. 66
  2. 28
  3. 40
  4. 58
  5. 41
  6. 84
  7. 42
  8. 38
  9. 70
  10. 29
  11. 54
  12. 49
  13. 31
  14. 71
  15. 34
  16. 42
  17. 20
  18. 96
  19. 53
  20. 69
  21. 86
  22. 63
  23. 52
  24. 35
  25. 30
  26. 30
  27. 54
  28. 24
  29. 48
  30. 20
  31. 30
  32. 54
  33. 73
  34. 46
  35. 37
  36. 62
  37. 76
  38. 36
  39. 78
  40. 55

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