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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 99 · 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 34 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 48 (c) 46 (d) 82
  2. 2.What is the average of 56, 45, 51, 33, 53 and 32? (a) 45 (b) 54 (c) 44 (d) 46
  3. 3.What is the average of 63, 64, 74 and 95? (a) 73 (b) 76 (c) 74 (d) 75
  4. 4.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 39 (b) 63 (c) 8 (d) 32
  5. 5.What is the average of all the whole numbers from 37 to 61? (a) 49 (b) 12 (c) 24 (d) 50
  6. 6.What is the average of all the whole numbers from 12 to 26? (a) 20 (b) 7 (c) 19 (d) 14
  7. 7.A batter has an average of 59 runs in 4 matches. How many runs are needed in the next match to raise the average to 61? (a) 10 (b) 61 (c) 63 (d) 69
  8. 8.What is the average of all the whole numbers from 38 to 56? (a) 47 (b) 48 (c) 9 (d) 18
  9. 9.What is the average of 67, 64, 72 and 73? (a) 70 (b) 68 (c) 69 (d) 92
  10. 10.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 15 (b) 31 (c) 17 (d) 29
  11. 11.What is the average of 42, 64, 40 and 70? (a) 54 (b) 72 (c) 55 (d) 53
  12. 12.What is the average of 53, 44, 43, 32, 55 and 19? (a) 40 (b) 43 (c) 42 (d) 41
  13. 13.What is the average of 59, 57, 55, 73, 62 and 108? (a) 68 (b) 70 (c) 69 (d) 71
  14. 14.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 60 (b) 44 (c) 40 (d) 24
  15. 15.What is the average of 67, 53, 60 and 32? (a) 54 (b) 52 (c) 55 (d) 53
  16. 16.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) 31 (b) 38 (c) 28 (d) 52
  17. 17.What is the average of 68, 55, 50, 52, 77 and 70? (a) 64 (b) 62 (c) 61 (d) 63
  18. 18.A batter has an average of 26 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 50 (b) 24 (c) 29 (d) 32
  19. 19.What is the average of 46, 48, 51 and 27? (a) 43 (b) 44 (c) 42 (d) 45
  20. 20.What is the average of 18, 28, 21 and 37? (a) 27 (b) 25 (c) 26 (d) 28
  21. 21.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 41? (a) 45 (b) 41 (c) 53 (d) 16
  22. 22.What is the average of all the whole numbers from 19 to 35? (a) 16 (b) 27 (c) 28 (d) 8
  23. 23.What is the average of all the whole numbers from 21 to 41? (a) 32 (b) 20 (c) 10 (d) 31
  24. 24.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 48 (b) 32 (c) 20 (d) 30
  25. 25.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 32 (b) 43 (c) 67 (d) 39
  26. 26.What is the average of all the whole numbers from 15 to 47? (a) 30 (b) 16 (c) 31 (d) 32
  27. 27.What is the average of 86, 56, 58 and 84? (a) 70 (b) 71 (c) 73 (d) 72
  28. 28.What is the average of 80, 85, 95, 91, 72 and 57? (a) 79 (b) 81 (c) 80 (d) 96
  29. 29.What is the average of 11, 18, 8, 11 and 57? (a) 21 (b) 22 (c) 23 (d) 20
  30. 30.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 37? (a) 10 (b) 37 (c) 39 (d) 45
  31. 31.What is the average of 64, 59, 59 and 82? (a) 88 (b) 67 (c) 66 (d) 65
  32. 32.What is the average of 22, 43, 23, 41, 18 and 39? (a) 31 (b) 33 (c) 30 (d) 32
  33. 33.What is the average of all the whole numbers from 14 to 48? (a) 32 (b) 31 (c) 34 (d) 17
  34. 34.What is the average of all the whole numbers from 60 to 66? (a) 3 (b) 63 (c) 6 (d) 64
  35. 35.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) 19 (b) 39 (c) 25 (d) 33
  36. 36.What is the average of 40, 24, 39, 15, 42 and 2? (a) 27 (b) 28 (c) 26 (d) 29
  37. 37.What is the average of all the whole numbers from 32 to 60? (a) 47 (b) 28 (c) 14 (d) 46
  38. 38.What is the average of 49, 57, 62 and 68? (a) 59 (b) 61 (c) 58 (d) 60
  39. 39.What is the average of 19, 31, 17 and 61? (a) 34 (b) 31 (c) 33 (d) 32
  40. 40.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 44 (b) 48 (c) 8 (d) 42

Answer key

  1. 82
  2. 45
  3. 74
  4. 39
  5. 49
  6. 19
  7. 69
  8. 47
  9. 69
  10. 29
  11. 54
  12. 41
  13. 69
  14. 60
  15. 53
  16. 52
  17. 62
  18. 50
  19. 43
  20. 26
  21. 53
  22. 27
  23. 31
  24. 48
  25. 67
  26. 31
  27. 71
  28. 80
  29. 21
  30. 45
  31. 66
  32. 31
  33. 31
  34. 63
  35. 39
  36. 27
  37. 46
  38. 59
  39. 32
  40. 48

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