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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 108 · 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 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 22? (a) 22 (b) 24 (c) 14 (d) 34
  2. 2.What is the average of all the whole numbers from 23 to 57? (a) 41 (b) 40 (c) 34 (d) 17
  3. 3.What is the average of all the whole numbers from 19 to 39? (a) 10 (b) 29 (c) 30 (d) 20
  4. 4.What is the average of all the whole numbers from 35 to 73? (a) 19 (b) 38 (c) 55 (d) 54
  5. 5.What is the average of 48, 43, 40 and 9? (a) 37 (b) 35 (c) 34 (d) 36
  6. 6.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 52 (b) 38 (c) 28 (d) 31
  7. 7.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 94 (b) 54 (c) 45 (d) 59
  8. 8.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 12 (b) 8 (c) 25 (d) 7
  9. 9.What is the average of 43, 37, 22 and 14? (a) 31 (b) 29 (c) 30 (d) 28
  10. 10.What is the average of 18, 15, 23, 31 and 63? (a) 32 (b) 30 (c) 29 (d) 31
  11. 11.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 21 (b) 20 (c) 29 (d) 61
  12. 12.What is the average of 81, 57, 81, 78, 71 and 52? (a) 69 (b) 71 (c) 70 (d) 84
  13. 13.A batter has an average of 51 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 87 (b) 55 (c) 59 (d) 36
  14. 14.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 23 (b) 4 (c) 51 (d) 3
  15. 15.What is the average of all the whole numbers from 10 to 48? (a) 29 (b) 19 (c) 38 (d) 30
  16. 16.What is the average of all the whole numbers from 36 to 46? (a) 41 (b) 42 (c) 5 (d) 10
  17. 17.What is the average of 43, 49, 40 and 12? (a) 48 (b) 35 (c) 36 (d) 37
  18. 18.What is the average of 83, 65, 78 and 62? (a) 72 (b) 73 (c) 96 (d) 71
  19. 19.What is the average of all the whole numbers from 28 to 50? (a) 11 (b) 40 (c) 39 (d) 22
  20. 20.What is the average of 58, 36, 64, 64 and 33? (a) 52 (b) 51 (c) 50 (d) 53
  21. 21.What is the average of 79, 67, 63, 64 and 82? (a) 70 (b) 73 (c) 72 (d) 71
  22. 22.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 51? (a) 51 (b) 48 (c) 91 (d) 59
  23. 23.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 47? (a) 55 (b) 47 (c) 72 (d) 111
  24. 24.What is the average of 64, 68, 45, 48, 67 and 26? (a) 54 (b) 53 (c) 52 (d) 55
  25. 25.What is the average of all the whole numbers from 54 to 72? (a) 64 (b) 63 (c) 9 (d) 18
  26. 26.What is the average of all the whole numbers from 23 to 47? (a) 12 (b) 36 (c) 24 (d) 35
  27. 27.What is the average of 52, 29, 28 and 39? (a) 39 (b) 36 (c) 37 (d) 38
  28. 28.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 32 (b) 36 (c) 28 (d) 56
  29. 29.What is the average of all the whole numbers from 14 to 36? (a) 26 (b) 25 (c) 22 (d) 11
  30. 30.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 66? (a) 138 (b) 74 (c) 80 (d) 66
  31. 31.What is the average of 28, 27, 29, 25, 34 and 91? (a) 39 (b) 40 (c) 38 (d) 41
  32. 32.What is the average of 27, 22, 18 and 37? (a) 25 (b) 28 (c) 27 (d) 26
  33. 33.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 37 (b) 56 (c) 44 (d) 86
  34. 34.What is the average of all the whole numbers from 42 to 82? (a) 63 (b) 62 (c) 40 (d) 20
  35. 35.What is the average of 31, 26, 20 and 19? (a) 23 (b) 24 (c) 32 (d) 25
  36. 36.A batter has an average of 51 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 91 (b) 67 (c) 40 (d) 59
  37. 37.What is the average of 44, 19, 44, 18 and 20? (a) 30 (b) 29 (c) 31 (d) 28
  38. 38.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 40 (b) 16 (c) 21 (d) 35
  39. 39.What is the average of 45, 43, 41 and 15? (a) 48 (b) 35 (c) 36 (d) 37
  40. 40.What is the average of 66, 62, 46, 69 and 52? (a) 58 (b) 61 (c) 60 (d) 59

Answer key

  1. 34
  2. 40
  3. 29
  4. 54
  5. 35
  6. 52
  7. 94
  8. 7
  9. 29
  10. 30
  11. 20
  12. 70
  13. 87
  14. 3
  15. 29
  16. 41
  17. 36
  18. 72
  19. 39
  20. 51
  21. 71
  22. 91
  23. 111
  24. 53
  25. 63
  26. 35
  27. 37
  28. 56
  29. 25
  30. 138
  31. 39
  32. 26
  33. 86
  34. 62
  35. 24
  36. 91
  37. 29
  38. 35
  39. 36
  40. 59

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