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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 334 · 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 5 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 29 (b) 17 (c) 18 (d) 61
  2. 2.What is the average of 57, 69, 61, 55, 52 and 96? (a) 78 (b) 66 (c) 64 (d) 65
  3. 3.The average of 8 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 27 (b) 13 (c) 16 (d) 24
  4. 4.What is the average of all the whole numbers from 10 to 40? (a) 25 (b) 15 (c) 26 (d) 30
  5. 5.What is the average of all the whole numbers from 16 to 44? (a) 28 (b) 31 (c) 14 (d) 30
  6. 6.What is the average of all the whole numbers from 48 to 76? (a) 63 (b) 14 (c) 62 (d) 28
  7. 7.What is the average of all the whole numbers from 16 to 56? (a) 40 (b) 36 (c) 37 (d) 20
  8. 8.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 45 (b) 38 (c) 37 (d) 92
  9. 9.What is the average of 60, 61, 86, 71, 66 and 88? (a) 74 (b) 71 (c) 73 (d) 72
  10. 10.What is the average of 16, 41, 21, 20 and 52? (a) 29 (b) 30 (c) 32 (d) 31
  11. 11.What is the average of 42, 38, 35, 35, 32 and 22? (a) 35 (b) 34 (c) 36 (d) 33
  12. 12.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 31? (a) 35 (b) 67 (c) 31 (d) 40
  13. 13.A batter has an average of 50 runs in 8 matches. How many runs are needed in the next match to raise the average to 58? (a) 72 (b) 58 (c) 122 (d) 66
  14. 14.What is the average of all the whole numbers from 36 to 48? (a) 42 (b) 6 (c) 12 (d) 43
  15. 15.What is the average of 35, 15, 9 and 37? (a) 23 (b) 32 (c) 25 (d) 24
  16. 16.What is the average of 8, 9, 29, 19 and 40? (a) 20 (b) 23 (c) 21 (d) 22
  17. 17.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 31 (b) 8 (c) 29 (d) 35
  18. 18.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 24 (c) 27 (d) 23
  19. 19.What is the average of 82, 70, 79, 73, 70 and 100? (a) 81 (b) 79 (c) 78 (d) 80
  20. 20.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 42? (a) 48 (b) 42 (c) 36 (d) 72
  21. 21.What is the average of 38, 26, 30, 28, 43 and 15? (a) 30 (b) 29 (c) 31 (d) 36
  22. 22.A batter has an average of 31 runs in 7 matches. How many runs are needed in the next match to raise the average to 36? (a) 40 (b) 41 (c) 36 (d) 71
  23. 23.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 85 (b) 42 (c) 40 (d) 39
  24. 24.What is the average of all the whole numbers from 58 to 72? (a) 14 (b) 66 (c) 65 (d) 7
  25. 25.What is the average of 70, 64, 66, 69, 56 and 17? (a) 58 (b) 59 (c) 56 (d) 57
  26. 26.What is the average of all the whole numbers from 25 to 41? (a) 8 (b) 16 (c) 34 (d) 33
  27. 27.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 46 (b) 71 (c) 37 (d) 12
  28. 28.What is the average of 49, 55, 47, 65, 69 and 87? (a) 63 (b) 62 (c) 61 (d) 64
  29. 29.What is the average of 26, 36, 47, 31, 34 and 48? (a) 37 (b) 38 (c) 36 (d) 39
  30. 30.What is the average of all the whole numbers from 42 to 68? (a) 13 (b) 55 (c) 26 (d) 56
  31. 31.What is the average of 37, 48, 30 and 37? (a) 40 (b) 37 (c) 38 (d) 39
  32. 32.What is the average of 21, 37, 17 and 53? (a) 33 (b) 31 (c) 34 (d) 32
  33. 33.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 83 (b) 15 (c) 55 (d) 43
  34. 34.What is the average of 40, 47, 51, 56 and 81? (a) 54 (b) 57 (c) 55 (d) 56
  35. 35.What is the average of 76, 74, 68, 73, 82 and 101? (a) 80 (b) 79 (c) 78 (d) 81
  36. 36.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 30 (b) 2 (c) 3 (d) 14
  37. 37.What is the average of 53, 39, 44, 59 and 25? (a) 43 (b) 45 (c) 44 (d) 55
  38. 38.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 8 (b) 23 (c) 51 (d) 9
  39. 39.What is the average of all the whole numbers from 9 to 39? (a) 30 (b) 25 (c) 24 (d) 15
  40. 40.What is the average of 66, 63, 55, 41, 43 and 44? (a) 52 (b) 51 (c) 54 (d) 53

Answer key

  1. 17
  2. 65
  3. 27
  4. 25
  5. 30
  6. 62
  7. 36
  8. 37
  9. 72
  10. 30
  11. 34
  12. 67
  13. 122
  14. 42
  15. 24
  16. 21
  17. 35
  18. 23
  19. 79
  20. 72
  21. 30
  22. 71
  23. 39
  24. 65
  25. 57
  26. 33
  27. 46
  28. 62
  29. 37
  30. 55
  31. 38
  32. 32
  33. 55
  34. 55
  35. 79
  36. 2
  37. 44
  38. 8
  39. 24
  40. 52

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