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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 178 · 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 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 47 (b) 80 (c) 111 (d) 39
  2. 2.What is the average of all the whole numbers from 59 to 75? (a) 68 (b) 16 (c) 8 (d) 67
  3. 3.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 103 (b) 102 (c) 54 (d) 60
  4. 4.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 40 (b) 36 (c) 20 (d) 52
  5. 5.What is the average of all the whole numbers from 13 to 43? (a) 15 (b) 30 (c) 29 (d) 28
  6. 6.What is the average of 36, 29, 43, 32 and 45? (a) 39 (b) 38 (c) 36 (d) 37
  7. 7.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 46 (b) 56 (c) 30 (d) 20
  8. 8.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 37 (b) 24 (c) 76 (d) 23
  9. 9.What is the average of 63, 48, 46, 46 and 102? (a) 63 (b) 60 (c) 62 (d) 61
  10. 10.What is the average of 38, 21, 41 and 20? (a) 30 (b) 29 (c) 31 (d) 40
  11. 11.A batter has an average of 20 runs in 4 matches. How many runs are needed in the next match to raise the average to 24? (a) 24 (b) 28 (c) 40 (d) 20
  12. 12.What is the average of all the whole numbers from 47 to 61? (a) 7 (b) 14 (c) 55 (d) 54
  13. 13.What is the average of 70, 64, 78, 70, 55 and 71? (a) 70 (b) 68 (c) 67 (d) 69
  14. 14.What is the average of 48, 49, 46, 67, 41 and 85? (a) 55 (b) 56 (c) 58 (d) 57
  15. 15.The average of 7 numbers is 32. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 15 (b) 67 (c) 14 (d) 32
  16. 16.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 59 (c) 30 (d) 32
  17. 17.What is the average of 61, 76, 73, 74 and 31? (a) 64 (b) 62 (c) 65 (d) 63
  18. 18.What is the average of 81, 69, 73, 81, 78 and 26? (a) 69 (b) 70 (c) 67 (d) 68
  19. 19.A batter has an average of 21 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 29 (b) 61 (c) 25 (d) 40
  20. 20.What is the average of all the whole numbers from 27 to 67? (a) 20 (b) 48 (c) 47 (d) 40
  21. 21.What is the average of all the whole numbers from 11 to 35? (a) 24 (b) 23 (c) 12 (d) 22
  22. 22.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 12. Which number was taken away? (a) 14 (b) 24 (c) 12 (d) 26
  23. 23.What is the average of 43, 62, 47, 42, 48 and 64? (a) 51 (b) 53 (c) 52 (d) 50
  24. 24.The average of 4 numbers is 45. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 37 (b) 93 (c) 45 (d) 36
  25. 25.What is the average of all the whole numbers from 18 to 44? (a) 31 (b) 26 (c) 13 (d) 32
  26. 26.What is the average of all the whole numbers from 36 to 68? (a) 32 (b) 16 (c) 53 (d) 52
  27. 27.The average of 7 numbers is 12. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 22 (c) 12 (d) 24
  28. 28.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 43 (c) 21 (d) 28
  29. 29.What is the average of all the whole numbers from 16 to 28? (a) 23 (b) 22 (c) 12 (d) 6
  30. 30.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 14 (b) 46 (c) 66 (d) 34
  31. 31.What is the average of 50, 26, 32 and 56? (a) 42 (b) 43 (c) 40 (d) 41
  32. 32.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 39 (b) 8 (c) 37 (d) 43
  33. 33.A batter has an average of 21 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 53 (b) 29 (c) 32 (d) 37
  34. 34.The average of 4 numbers is 13. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 13 (b) 28 (c) 7 (d) 8
  35. 35.What is the average of all the whole numbers from 46 to 58? (a) 52 (b) 6 (c) 12 (d) 53
  36. 36.A batter has an average of 42 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 46 (b) 50 (c) 58 (d) 16
  37. 37.What is the average of all the whole numbers from 35 to 61? (a) 13 (b) 49 (c) 26 (d) 48
  38. 38.A batter has an average of 34 runs in 4 matches. How many runs are needed in the next match to raise the average to 36? (a) 38 (b) 10 (c) 36 (d) 44
  39. 39.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 45? (a) 45 (b) 66 (c) 28 (d) 52
  40. 40.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 32 (b) 46 (c) 95 (d) 31

Answer key

  1. 111
  2. 67
  3. 102
  4. 52
  5. 28
  6. 37
  7. 46
  8. 23
  9. 61
  10. 30
  11. 40
  12. 54
  13. 68
  14. 56
  15. 14
  16. 59
  17. 63
  18. 68
  19. 61
  20. 47
  21. 23
  22. 24
  23. 51
  24. 36
  25. 31
  26. 52
  27. 24
  28. 43
  29. 22
  30. 46
  31. 41
  32. 43
  33. 53
  34. 7
  35. 52
  36. 58
  37. 48
  38. 44
  39. 66
  40. 31

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