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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 72 · 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 8 numbers is 36. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 15 (b) 36 (c) 75 (d) 16
  2. 2.A batter has an average of 38 runs in 4 matches. How many runs are needed in the next match to raise the average to 46? (a) 54 (b) 40 (c) 46 (d) 78
  3. 3.A batter has an average of 43 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 51 (b) 47 (c) 16 (d) 59
  4. 4.What is the average of all the whole numbers from 45 to 61? (a) 54 (b) 8 (c) 16 (d) 53
  5. 5.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 49? (a) 52 (b) 61 (c) 15 (d) 49
  6. 6.What is the average of all the whole numbers from 20 to 46? (a) 26 (b) 33 (c) 13 (d) 34
  7. 7.What is the average of all the whole numbers from 43 to 73? (a) 58 (b) 59 (c) 15 (d) 30
  8. 8.What is the average of 29, 31, 23, 22 and 75? (a) 37 (b) 45 (c) 35 (d) 36
  9. 9.What is the average of all the whole numbers from 52 to 82? (a) 15 (b) 67 (c) 68 (d) 30
  10. 10.What is the average of 22, 22, 16, 28, 44 and 42? (a) 30 (b) 28 (c) 31 (d) 29
  11. 11.What is the average of 66, 39, 44, 38 and 73? (a) 65 (b) 52 (c) 53 (d) 51
  12. 12.A batter has an average of 48 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 18 (b) 66 (c) 51 (d) 54
  13. 13.The average of 7 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 17 (b) 10 (c) 21 (d) 28
  14. 14.A batter has an average of 45 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 42 (b) 51 (c) 57 (d) 87
  15. 15.What is the average of 69, 65, 57 and 85? (a) 70 (b) 68 (c) 92 (d) 69
  16. 16.What is the average of all the whole numbers from 31 to 63? (a) 16 (b) 32 (c) 48 (d) 47
  17. 17.A batter has an average of 32 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 38 (b) 21 (c) 53 (d) 35
  18. 18.What is the average of all the whole numbers from 32 to 64? (a) 16 (b) 32 (c) 49 (d) 48
  19. 19.What is the average of all the whole numbers from 8 to 16? (a) 8 (b) 12 (c) 13 (d) 4
  20. 20.What is the average of 57, 80, 73 and 74? (a) 70 (b) 71 (c) 73 (d) 72
  21. 21.The average of 6 numbers is 19. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 19 (b) 40 (c) 10 (d) 9
  22. 22.What is the average of all the whole numbers from 30 to 48? (a) 40 (b) 18 (c) 39 (d) 9
  23. 23.The average of 5 numbers is 25. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 20 (b) 25 (c) 41 (d) 46
  24. 24.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 16 (b) 47 (c) 66 (d) 35
  25. 25.A batter has an average of 60 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 66 (b) 72 (c) 120 (d) 60
  26. 26.What is the average of 49, 51, 46, 42 and 67? (a) 53 (b) 52 (c) 51 (d) 50
  27. 27.What is the average of all the whole numbers from 13 to 49? (a) 18 (b) 31 (c) 32 (d) 36
  28. 28.What is the average of all the whole numbers from 50 to 76? (a) 64 (b) 13 (c) 26 (d) 63
  29. 29.What is the average of all the whole numbers from 10 to 46? (a) 36 (b) 18 (c) 28 (d) 29
  30. 30.A batter has an average of 52 runs in 7 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 58 (c) 76 (d) 24
  31. 31.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 65 (b) 47 (c) 30 (d) 41
  32. 32.What is the average of 40, 41, 50, 36 and 73? (a) 48 (b) 49 (c) 47 (d) 60
  33. 33.What is the average of all the whole numbers from 31 to 41? (a) 37 (b) 10 (c) 5 (d) 36
  34. 34.What is the average of 81, 64, 75 and 76? (a) 76 (b) 75 (c) 74 (d) 73
  35. 35.A batter has an average of 37 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 12 (b) 43 (c) 40 (d) 49
  36. 36.What is the average of all the whole numbers from 40 to 78? (a) 59 (b) 60 (c) 19 (d) 38
  37. 37.What is the average of all the whole numbers from 11 to 41? (a) 30 (b) 26 (c) 27 (d) 15
  38. 38.What is the average of 17, 24, 24 and 15? (a) 20 (b) 19 (c) 22 (d) 21
  39. 39.What is the average of 59, 56, 51 and 94? (a) 67 (b) 65 (c) 66 (d) 64
  40. 40.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 21 (c) 29 (d) 44

Answer key

  1. 15
  2. 78
  3. 59
  4. 53
  5. 61
  6. 33
  7. 58
  8. 36
  9. 67
  10. 29
  11. 52
  12. 66
  13. 28
  14. 87
  15. 69
  16. 47
  17. 53
  18. 48
  19. 12
  20. 71
  21. 9
  22. 39
  23. 41
  24. 47
  25. 120
  26. 51
  27. 31
  28. 63
  29. 28
  30. 76
  31. 65
  32. 48
  33. 36
  34. 74
  35. 49
  36. 59
  37. 26
  38. 20
  39. 65
  40. 44

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