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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 502 · 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 all the whole numbers from 35 to 73? (a) 54 (b) 19 (c) 55 (d) 38
  2. 2.What is the average of all the whole numbers from 15 to 39? (a) 28 (b) 12 (c) 27 (d) 24
  3. 3.What is the average of 85, 83, 57 and 59? (a) 73 (b) 70 (c) 71 (d) 72
  4. 4.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 18 (b) 51 (c) 36 (d) 69
  5. 5.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 55 (b) 26 (c) 17 (d) 18
  6. 6.What is the average of all the whole numbers from 40 to 48? (a) 4 (b) 44 (c) 8 (d) 45
  7. 7.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 12 (b) 38 (c) 29 (d) 55
  8. 8.What is the average of 45, 34, 50 and 35? (a) 43 (b) 40 (c) 42 (d) 41
  9. 9.What is the average of all the whole numbers from 33 to 45? (a) 39 (b) 12 (c) 40 (d) 6
  10. 10.What is the average of 18, 19, 26 and 57? (a) 29 (b) 30 (c) 31 (d) 40
  11. 11.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 24 (c) 30 (d) 48
  12. 12.The average of 6 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 39 (b) 74 (c) 24 (d) 59
  13. 13.What is the average of 23, 27, 18 and 52? (a) 30 (b) 31 (c) 29 (d) 40
  14. 14.What is the average of 64, 68, 69 and 115? (a) 79 (b) 81 (c) 78 (d) 80
  15. 15.The average of 6 numbers is 33. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 12 (b) 33 (c) 43 (d) 64
  16. 16.What is the average of 42, 42, 41 and 7? (a) 44 (b) 33 (c) 32 (d) 34
  17. 17.What is the average of 19, 18, 22, 9 and 32? (a) 19 (b) 20 (c) 21 (d) 25
  18. 18.What is the average of all the whole numbers from 15 to 21? (a) 19 (b) 3 (c) 6 (d) 18
  19. 19.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 44 (b) 69 (c) 83 (d) 30
  20. 20.What is the average of 62, 63, 65 and 14? (a) 51 (b) 52 (c) 68 (d) 50
  21. 21.What is the average of all the whole numbers from 17 to 57? (a) 38 (b) 20 (c) 37 (d) 40
  22. 22.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 56? (a) 58 (b) 56 (c) 10 (d) 64
  23. 23.What is the average of all the whole numbers from 10 to 26? (a) 8 (b) 16 (c) 19 (d) 18
  24. 24.What is the average of 69, 77, 86, 77 and 51? (a) 73 (b) 72 (c) 71 (d) 90
  25. 25.What is the average of 63, 40, 43, 63, 55 and 54? (a) 53 (b) 54 (c) 52 (d) 55
  26. 26.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 4 (b) 38 (c) 18 (d) 5
  27. 27.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 87 (b) 38 (c) 43 (d) 37
  28. 28.A batter has an average of 30 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 34 (c) 44 (d) 14
  29. 29.What is the average of all the whole numbers from 51 to 71? (a) 20 (b) 62 (c) 10 (d) 61
  30. 30.What is the average of 71, 58, 63 and 32? (a) 58 (b) 55 (c) 56 (d) 57
  31. 31.What is the average of 22, 14, 30 and 46? (a) 30 (b) 29 (c) 28 (d) 27
  32. 32.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 70 (b) 37 (c) 32 (d) 65
  33. 33.What is the average of 29, 24, 20, 40, 29 and 32? (a) 30 (b) 29 (c) 28 (d) 31
  34. 34.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 4 (b) 16 (c) 19 (d) 31
  35. 35.What is the average of all the whole numbers from 44 to 54? (a) 50 (b) 5 (c) 10 (d) 49
  36. 36.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 45 (b) 35 (c) 75 (d) 85
  37. 37.What is the average of all the whole numbers from 41 to 53? (a) 47 (b) 48 (c) 12 (d) 6
  38. 38.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 19 (b) 27 (c) 20 (d) 12
  39. 39.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 21 (b) 31 (c) 17 (d) 35
  40. 40.A batter has an average of 48 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 68 (b) 53 (c) 20 (d) 58

Answer key

  1. 54
  2. 27
  3. 71
  4. 51
  5. 17
  6. 44
  7. 38
  8. 41
  9. 39
  10. 30
  11. 48
  12. 59
  13. 30
  14. 79
  15. 43
  16. 33
  17. 20
  18. 18
  19. 69
  20. 51
  21. 37
  22. 64
  23. 18
  24. 72
  25. 53
  26. 4
  27. 37
  28. 44
  29. 61
  30. 56
  31. 28
  32. 65
  33. 29
  34. 19
  35. 49
  36. 75
  37. 47
  38. 27
  39. 35
  40. 68

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