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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 880 · 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.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 53 (c) 16 (d) 41
  2. 2.The average of 6 numbers is 15. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 28 (b) 12 (c) 25 (d) 15
  3. 3.What is the average of 41, 38, 27 and 34? (a) 34 (b) 35 (c) 36 (d) 37
  4. 4.What is the average of all the whole numbers from 35 to 49? (a) 43 (b) 42 (c) 7 (d) 14
  5. 5.What is the average of 32, 35, 27, 25, 19 and 48? (a) 33 (b) 30 (c) 31 (d) 32
  6. 6.What is the average of all the whole numbers from 5 to 31? (a) 13 (b) 26 (c) 19 (d) 18
  7. 7.What is the average of 72, 52, 55, 66 and 40? (a) 57 (b) 58 (c) 56 (d) 59
  8. 8.What is the average of 59, 64, 64 and 9? (a) 51 (b) 48 (c) 50 (d) 49
  9. 9.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 28 (b) 36 (c) 27 (d) 75
  10. 10.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 32 (b) 43 (c) 89 (d) 31
  11. 11.A batter has an average of 43 runs in 5 matches. How many runs are needed in the next match to raise the average to 48? (a) 53 (b) 48 (c) 73 (d) 30
  12. 12.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 33 (b) 25 (c) 39 (d) 19
  13. 13.A batter has an average of 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 49? (a) 67 (b) 20 (c) 51 (d) 49
  14. 14.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 104 (b) 22 (c) 50 (d) 23
  15. 15.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 8 (b) 19 (c) 7 (d) 41
  16. 16.What is the average of 59, 53, 64, 42 and 57? (a) 55 (b) 56 (c) 54 (d) 57
  17. 17.What is the average of all the whole numbers from 59 to 65? (a) 6 (b) 63 (c) 3 (d) 62
  18. 18.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 53 (b) 17 (c) 25 (d) 16
  19. 19.What is the average of 53, 72, 65 and 54? (a) 63 (b) 61 (c) 62 (d) 60
  20. 20.The average of 4 numbers is 50. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 8 (b) 98 (c) 50 (d) 56
  21. 21.The average of 8 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 8 (b) 67 (c) 41 (d) 34
  22. 22.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 50 (b) 74 (c) 96 (d) 28
  23. 23.What is the average of 46, 34, 58 and 34? (a) 42 (b) 44 (c) 43 (d) 45
  24. 24.What is the average of all the whole numbers from 57 to 89? (a) 16 (b) 74 (c) 73 (d) 32
  25. 25.What is the average of all the whole numbers from 48 to 60? (a) 55 (b) 54 (c) 6 (d) 12
  26. 26.What is the average of 41, 26, 31, 48 and 39? (a) 37 (b) 39 (c) 36 (d) 38
  27. 27.What is the average of 42, 43, 62 and 45? (a) 64 (b) 48 (c) 47 (d) 49
  28. 28.What is the average of all the whole numbers from 57 to 71? (a) 65 (b) 64 (c) 14 (d) 7
  29. 29.What is the average of 23, 38, 44 and 15? (a) 31 (b) 29 (c) 40 (d) 30
  30. 30.What is the average of all the whole numbers from 59 to 87? (a) 28 (b) 73 (c) 74 (d) 14
  31. 31.What is the average of all the whole numbers from 37 to 77? (a) 58 (b) 57 (c) 40 (d) 20
  32. 32.What is the average of 62, 55, 66, 56, 47 and 44? (a) 55 (b) 66 (c) 54 (d) 56
  33. 33.The average of 5 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 24 (b) 8 (c) 52 (d) 9
  34. 34.What is the average of 67, 45, 54, 66, 59 and 69? (a) 72 (b) 60 (c) 59 (d) 61
  35. 35.What is the average of all the whole numbers from 7 to 29? (a) 18 (b) 19 (c) 22 (d) 11
  36. 36.What is the average of all the whole numbers from 14 to 28? (a) 22 (b) 7 (c) 14 (d) 21
  37. 37.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 41? (a) 41 (b) 43 (c) 8 (d) 47
  38. 38.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 36 (b) 7 (c) 59 (d) 30
  39. 39.What is the average of all the whole numbers from 7 to 21? (a) 13 (b) 15 (c) 7 (d) 14
  40. 40.What is the average of all the whole numbers from 23 to 57? (a) 34 (b) 40 (c) 17 (d) 41

Answer key

  1. 53
  2. 25
  3. 35
  4. 42
  5. 31
  6. 18
  7. 57
  8. 49
  9. 27
  10. 31
  11. 73
  12. 39
  13. 67
  14. 22
  15. 7
  16. 55
  17. 62
  18. 16
  19. 61
  20. 56
  21. 41
  22. 74
  23. 43
  24. 73
  25. 54
  26. 37
  27. 48
  28. 64
  29. 30
  30. 73
  31. 57
  32. 55
  33. 8
  34. 60
  35. 18
  36. 21
  37. 47
  38. 36
  39. 14
  40. 40

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