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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 76 · 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 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 47 (c) 89 (d) 56
  2. 2.What is the average of 46, 40, 35, 39, 54 and 56? (a) 46 (b) 54 (c) 45 (d) 44
  3. 3.What is the average of 86, 68, 61, 71, 86 and 78? (a) 76 (b) 75 (c) 74 (d) 90
  4. 4.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 60? (a) 65 (b) 35 (c) 60 (d) 90
  5. 5.The average of 6 numbers is 34. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 39 (b) 34 (c) 6 (d) 67
  6. 6.What is the average of 64, 48, 68, 50 and 55? (a) 59 (b) 56 (c) 58 (d) 57
  7. 7.A batter has an average of 22 runs in 4 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 57 (c) 35 (d) 36
  8. 8.What is the average of all the whole numbers from 8 to 26? (a) 9 (b) 16 (c) 17 (d) 18
  9. 9.What is the average of 86, 72, 65 and 85? (a) 78 (b) 76 (c) 77 (d) 79
  10. 10.What is the average of all the whole numbers from 52 to 86? (a) 69 (b) 34 (c) 70 (d) 17
  11. 11.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 65 (b) 71 (c) 12 (d) 62
  12. 12.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 30? (a) 36 (b) 54 (c) 30 (d) 55
  13. 13.A batter has an average of 36 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 60 (b) 24 (c) 42 (d) 48
  14. 14.What is the average of 25, 34, 42, 27 and 62? (a) 40 (b) 39 (c) 37 (d) 38
  15. 15.What is the average of 63, 73, 77 and 75? (a) 96 (b) 71 (c) 72 (d) 73
  16. 16.What is the average of 50, 77, 72 and 49? (a) 64 (b) 62 (c) 61 (d) 63
  17. 17.The average of 6 numbers is 31. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 31 (b) 6 (c) 7 (d) 67
  18. 18.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 35? (a) 63 (b) 35 (c) 42 (d) 64
  19. 19.The average of 7 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 20 (b) 38 (c) 37 (d) 21
  20. 20.What is the average of 15, 33, 13, 23 and 26? (a) 24 (b) 23 (c) 22 (d) 21
  21. 21.What is the average of all the whole numbers from 52 to 64? (a) 59 (b) 6 (c) 12 (d) 58
  22. 22.What is the average of all the whole numbers from 19 to 55? (a) 36 (b) 18 (c) 37 (d) 38
  23. 23.What is the average of 36, 17, 15 and 20? (a) 24 (b) 21 (c) 23 (d) 22
  24. 24.The average of 8 numbers is 19. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 19 (b) 40 (c) 33 (d) 54
  25. 25.A batter has an average of 54 runs in 4 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 15 (c) 60 (d) 69
  26. 26.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 31 (b) 5 (c) 20 (d) 16
  27. 27.A batter has an average of 54 runs in 8 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 66 (c) 108 (d) 54
  28. 28.What is the average of all the whole numbers from 6 to 20? (a) 13 (b) 12 (c) 7 (d) 14
  29. 29.A batter has an average of 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 57 (b) 105 (c) 65 (d) 56
  30. 30.What is the average of 65, 68, 46 and 57? (a) 61 (b) 60 (c) 58 (d) 59
  31. 31.What is the average of 83, 64, 74, 70, 79 and 68? (a) 74 (b) 73 (c) 75 (d) 72
  32. 32.What is the average of 67, 68, 62, 59 and 74? (a) 65 (b) 66 (c) 67 (d) 68
  33. 33.What is the average of 65, 64, 51, 63, 49 and 56? (a) 58 (b) 57 (c) 59 (d) 60
  34. 34.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 65? (a) 89 (b) 30 (c) 71 (d) 65
  35. 35.What is the average of 38, 56, 44 and 58? (a) 50 (b) 51 (c) 48 (d) 49
  36. 36.What is the average of all the whole numbers from 8 to 28? (a) 10 (b) 20 (c) 18 (d) 19
  37. 37.What is the average of 38, 42, 33 and 47? (a) 39 (b) 40 (c) 41 (d) 42
  38. 38.What is the average of all the whole numbers from 31 to 43? (a) 12 (b) 37 (c) 38 (d) 6
  39. 39.What is the average of 38, 27, 34 and 57? (a) 39 (b) 40 (c) 38 (d) 52
  40. 40.The average of 4 numbers is 36. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 24 (b) 36 (c) 25 (d) 76

Answer key

  1. 89
  2. 45
  3. 75
  4. 90
  5. 39
  6. 57
  7. 57
  8. 17
  9. 77
  10. 69
  11. 71
  12. 54
  13. 60
  14. 38
  15. 72
  16. 62
  17. 6
  18. 63
  19. 38
  20. 22
  21. 58
  22. 37
  23. 22
  24. 54
  25. 69
  26. 20
  27. 108
  28. 13
  29. 105
  30. 59
  31. 73
  32. 66
  33. 58
  34. 89
  35. 49
  36. 18
  37. 40
  38. 37
  39. 39
  40. 24

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