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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 282 · 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 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 38 (b) 77 (c) 35 (d) 34
  2. 2.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 34? (a) 30 (b) 59 (c) 34 (d) 39
  3. 3.What is the average of 23, 17, 13, 10 and 62? (a) 25 (b) 27 (c) 26 (d) 24
  4. 4.What is the average of 24, 28, 18 and 58? (a) 33 (b) 31 (c) 34 (d) 32
  5. 5.What is the average of all the whole numbers from 21 to 57? (a) 40 (b) 39 (c) 36 (d) 18
  6. 6.What is the average of 33, 36, 53 and 62? (a) 48 (b) 47 (c) 46 (d) 45
  7. 7.A batter has an average of 26 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 40 (b) 66 (c) 30 (d) 34
  8. 8.What is the average of 30, 26, 40, 34, 54 and 62? (a) 40 (b) 43 (c) 42 (d) 41
  9. 9.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 87 (b) 47 (c) 48 (d) 55
  10. 10.What is the average of 88, 74, 76 and 74? (a) 79 (b) 77 (c) 78 (d) 104
  11. 11.The average of 6 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 25 (b) 12 (c) 35 (d) 48
  12. 12.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 44? (a) 24 (b) 50 (c) 62 (d) 44
  13. 13.What is the average of all the whole numbers from 12 to 46? (a) 34 (b) 30 (c) 29 (d) 17
  14. 14.What is the average of all the whole numbers from 9 to 47? (a) 19 (b) 29 (c) 38 (d) 28
  15. 15.The average of 4 numbers is 46. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 89 (b) 12 (c) 55 (d) 46
  16. 16.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 17 (c) 25 (d) 10
  17. 17.What is the average of 56, 28, 40, 28, 58 and 48? (a) 42 (b) 45 (c) 44 (d) 43
  18. 18.What is the average of all the whole numbers from 9 to 17? (a) 13 (b) 4 (c) 8 (d) 14
  19. 19.What is the average of 47, 74, 48 and 71? (a) 80 (b) 60 (c) 59 (d) 61
  20. 20.What is the average of 24, 47, 44 and 17? (a) 44 (b) 33 (c) 34 (d) 32
  21. 21.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 44 (b) 90 (c) 37 (d) 36
  22. 22.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 5 (b) 21 (c) 41 (d) 25
  23. 23.What is the average of 61, 42, 36 and 61? (a) 51 (b) 52 (c) 50 (d) 49
  24. 24.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 41 (b) 35 (c) 66 (d) 36
  25. 25.What is the average of all the whole numbers from 60 to 80? (a) 10 (b) 71 (c) 20 (d) 70
  26. 26.What is the average of 54, 50, 37, 38 and 66? (a) 48 (b) 51 (c) 50 (d) 49
  27. 27.What is the average of all the whole numbers from 42 to 76? (a) 60 (b) 17 (c) 34 (d) 59
  28. 28.What is the average of all the whole numbers from 25 to 35? (a) 10 (b) 5 (c) 31 (d) 30
  29. 29.The average of 4 numbers is 30. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 30 (b) 19 (c) 64 (d) 18
  30. 30.What is the average of all the whole numbers from 20 to 44? (a) 24 (b) 12 (c) 32 (d) 33
  31. 31.The average of 4 numbers is 12. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 6 (b) 12 (c) 7 (d) 26
  32. 32.What is the average of all the whole numbers from 44 to 60? (a) 16 (b) 8 (c) 52 (d) 53
  33. 33.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 63 (b) 24 (c) 60 (d) 81
  34. 34.The average of 8 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 16 (b) 14 (c) 26 (d) 28
  35. 35.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 5. Which number was taken away? (a) 35 (b) 15 (c) 10 (d) 40
  36. 36.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 77 (b) 38 (c) 36 (d) 35
  37. 37.What is the average of 68, 86, 89 and 69? (a) 78 (b) 104 (c) 79 (d) 77
  38. 38.The average of 6 numbers is 26. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 18 (b) 26 (c) 41 (d) 49
  39. 39.What is the average of 53, 39, 30, 35, 49 and 58? (a) 45 (b) 46 (c) 44 (d) 43
  40. 40.The average of 5 numbers is 32. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 32 (b) 69 (c) 13 (d) 12

Answer key

  1. 34
  2. 59
  3. 25
  4. 32
  5. 39
  6. 46
  7. 66
  8. 41
  9. 87
  10. 78
  11. 35
  12. 62
  13. 29
  14. 28
  15. 55
  16. 25
  17. 43
  18. 13
  19. 60
  20. 33
  21. 36
  22. 25
  23. 50
  24. 66
  25. 70
  26. 49
  27. 59
  28. 30
  29. 18
  30. 32
  31. 6
  32. 52
  33. 81
  34. 28
  35. 40
  36. 35
  37. 78
  38. 41
  39. 44
  40. 12

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