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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 386 · 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 47 runs in 9 matches. How many runs are needed in the next match to raise the average to 54? (a) 70 (b) 117 (c) 54 (d) 61
  2. 2.What is the average of all the whole numbers from 54 to 68? (a) 62 (b) 14 (c) 7 (d) 61
  3. 3.What is the average of 71, 66, 46, 60 and 62? (a) 62 (b) 60 (c) 63 (d) 61
  4. 4.A batter has an average of 32 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 69 (b) 68 (c) 40 (d) 36
  5. 5.What is the average of all the whole numbers from 27 to 39? (a) 34 (b) 33 (c) 12 (d) 6
  6. 6.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 25 (b) 23 (c) 13 (d) 15
  7. 7.The average of 8 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 31 (b) 8 (c) 38 (d) 61
  8. 8.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 19 (b) 42 (c) 3 (d) 4
  9. 9.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) 77 (b) 38 (c) 35 (d) 34
  10. 10.The average of 8 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 27 (b) 82 (c) 40 (d) 26
  11. 11.What is the average of all the whole numbers from 35 to 51? (a) 44 (b) 8 (c) 43 (d) 16
  12. 12.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 12 (b) 25 (c) 8 (d) 9
  13. 13.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 57? (a) 42 (b) 57 (c) 92 (d) 64
  14. 14.What is the average of 29, 18, 30, 20 and 13? (a) 24 (b) 21 (c) 22 (d) 23
  15. 15.What is the average of all the whole numbers from 47 to 83? (a) 18 (b) 36 (c) 66 (d) 65
  16. 16.What is the average of 52, 43, 65, 59, 42 and 57? (a) 54 (b) 53 (c) 55 (d) 52
  17. 17.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 26 (b) 19 (c) 18 (d) 11
  18. 18.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 42? (a) 42 (b) 48 (c) 79 (d) 78
  19. 19.What is the average of 23, 41, 38, 46 and 22? (a) 36 (b) 35 (c) 34 (d) 33
  20. 20.What is the average of 15, 19, 15, 33 and 43? (a) 24 (b) 25 (c) 26 (d) 27
  21. 21.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 44? (a) 80 (b) 52 (c) 44 (d) 116
  22. 22.What is the average of 23, 22, 26, 32, 12 and 47? (a) 27 (b) 28 (c) 26 (d) 29
  23. 23.A batter has an average of 53 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 89 (b) 57 (c) 36 (d) 61
  24. 24.What is the average of all the whole numbers from 26 to 62? (a) 18 (b) 36 (c) 45 (d) 44
  25. 25.What is the average of 66, 75, 56 and 51? (a) 61 (b) 62 (c) 64 (d) 63
  26. 26.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 47 (b) 16 (c) 61 (d) 92
  27. 27.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 55? (a) 20 (b) 73 (c) 57 (d) 55
  28. 28.What is the average of all the whole numbers from 59 to 89? (a) 75 (b) 74 (c) 30 (d) 15
  29. 29.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 63? (a) 71 (b) 95 (c) 40 (d) 63
  30. 30.A batter has an average of 58 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 14 (b) 72 (c) 60 (d) 62
  31. 31.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 44 (b) 62 (c) 14 (d) 32
  32. 32.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 14 (b) 8 (c) 30 (d) 9
  33. 33.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 33? (a) 33 (b) 45 (c) 14 (d) 35
  34. 34.What is the average of 33, 32, 19, 35 and 1? (a) 30 (b) 25 (c) 24 (d) 23
  35. 35.What is the average of 61, 72, 61, 70, 69 and 99? (a) 74 (b) 73 (c) 72 (d) 71
  36. 36.What is the average of all the whole numbers from 26 to 46? (a) 10 (b) 37 (c) 36 (d) 20
  37. 37.What is the average of 28, 39, 10, 24 and 19? (a) 24 (b) 23 (c) 25 (d) 30
  38. 38.The average of 5 numbers is 27. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 25 (b) 47 (c) 27 (d) 49
  39. 39.What is the average of 48, 37, 39, 37 and 59? (a) 55 (b) 43 (c) 44 (d) 45
  40. 40.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 8 (b) 32 (c) 62 (d) 38

Answer key

  1. 117
  2. 61
  3. 61
  4. 68
  5. 33
  6. 25
  7. 38
  8. 3
  9. 34
  10. 26
  11. 43
  12. 8
  13. 92
  14. 22
  15. 65
  16. 53
  17. 26
  18. 78
  19. 34
  20. 25
  21. 116
  22. 27
  23. 89
  24. 44
  25. 62
  26. 61
  27. 73
  28. 74
  29. 95
  30. 72
  31. 44
  32. 8
  33. 45
  34. 24
  35. 72
  36. 36
  37. 24
  38. 47
  39. 44
  40. 38

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