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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 837 · 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 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 37 (b) 28 (c) 51 (d) 30
  2. 2.What is the average of all the whole numbers from 35 to 51? (a) 44 (b) 43 (c) 8 (d) 16
  3. 3.What is the average of 61, 65, 67, 73, 81 and 109? (a) 77 (b) 78 (c) 76 (d) 75
  4. 4.What is the average of all the whole numbers from 21 to 33? (a) 6 (b) 28 (c) 12 (d) 27
  5. 5.What is the average of all the whole numbers from 47 to 81? (a) 34 (b) 17 (c) 65 (d) 64
  6. 6.What is the average of 53, 41, 41, 46, 25 and 28? (a) 41 (b) 40 (c) 38 (d) 39
  7. 7.What is the average of 27, 43, 46, 32 and 47? (a) 39 (b) 38 (c) 40 (d) 41
  8. 8.What is the average of all the whole numbers from 27 to 65? (a) 19 (b) 47 (c) 46 (d) 38
  9. 9.A batter has an average of 23 runs in 7 matches. How many runs are needed in the next match to raise the average to 25? (a) 16 (b) 25 (c) 27 (d) 39
  10. 10.What is the average of 47, 23, 30 and 28? (a) 33 (b) 32 (c) 34 (d) 31
  11. 11.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 70 (b) 49 (c) 37 (d) 16
  12. 12.What is the average of 45, 33, 42, 39, 31 and 20? (a) 42 (b) 36 (c) 35 (d) 34
  13. 13.What is the average of 62, 64, 52, 57 and 80? (a) 64 (b) 62 (c) 63 (d) 65
  14. 14.What is the average of 84, 84, 64, 66 and 72? (a) 75 (b) 73 (c) 76 (d) 74
  15. 15.What is the average of all the whole numbers from 39 to 67? (a) 14 (b) 28 (c) 53 (d) 54
  16. 16.What is the average of 88, 70, 65 and 81? (a) 76 (b) 77 (c) 78 (d) 75
  17. 17.What is the average of 75, 82, 80, 67, 85 and 85? (a) 78 (b) 79 (c) 81 (d) 80
  18. 18.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 50 (b) 12 (c) 13 (d) 24
  19. 19.A batter has an average of 41 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 28 (c) 69 (d) 49
  20. 20.What is the average of all the whole numbers from 58 to 98? (a) 79 (b) 20 (c) 78 (d) 40
  21. 21.What is the average of 67, 70, 53 and 34? (a) 58 (b) 57 (c) 55 (d) 56
  22. 22.What is the average of 27, 40, 44, 19 and 40? (a) 36 (b) 35 (c) 34 (d) 33
  23. 23.What is the average of 70, 67, 67 and 36? (a) 80 (b) 61 (c) 59 (d) 60
  24. 24.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 10 (b) 21 (c) 7 (d) 6
  25. 25.What is the average of all the whole numbers from 6 to 22? (a) 15 (b) 16 (c) 8 (d) 14
  26. 26.What is the average of 49, 38, 44 and 13? (a) 37 (b) 36 (c) 35 (d) 48
  27. 27.What is the average of all the whole numbers from 17 to 51? (a) 34 (b) 17 (c) 35 (d) 33
  28. 28.What is the average of 44, 32, 31, 22, 27 and 42? (a) 33 (b) 35 (c) 34 (d) 32
  29. 29.What is the average of 60, 68, 47, 63, 65 and 45? (a) 60 (b) 59 (c) 58 (d) 57
  30. 30.What is the average of 58, 61, 62, 74 and 80? (a) 69 (b) 67 (c) 66 (d) 68
  31. 31.What is the average of all the whole numbers from 15 to 39? (a) 24 (b) 12 (c) 28 (d) 27
  32. 32.What is the average of all the whole numbers from 20 to 46? (a) 26 (b) 13 (c) 34 (d) 33
  33. 33.What is the average of 54, 56, 40, 54, 35 and 19? (a) 44 (b) 42 (c) 45 (d) 43
  34. 34.What is the average of 68, 93, 91 and 68? (a) 80 (b) 79 (c) 81 (d) 82
  35. 35.What is the average of 13, 8, 17, 30 and 42? (a) 23 (b) 24 (c) 22 (d) 21
  36. 36.A batter has an average of 45 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 75 (c) 30 (d) 51
  37. 37.A batter has an average of 45 runs in 5 matches. How many runs are needed in the next match to raise the average to 51? (a) 81 (b) 57 (c) 36 (d) 51
  38. 38.What is the average of all the whole numbers from 51 to 89? (a) 19 (b) 70 (c) 71 (d) 38
  39. 39.What is the average of 6, 28, 26, 13, 5 and 42? (a) 24 (b) 21 (c) 19 (d) 20
  40. 40.What is the average of all the whole numbers from 6 to 44? (a) 25 (b) 26 (c) 19 (d) 38

Answer key

  1. 51
  2. 43
  3. 76
  4. 27
  5. 64
  6. 39
  7. 39
  8. 46
  9. 39
  10. 32
  11. 49
  12. 35
  13. 63
  14. 74
  15. 53
  16. 76
  17. 79
  18. 12
  19. 69
  20. 78
  21. 56
  22. 34
  23. 60
  24. 6
  25. 14
  26. 36
  27. 34
  28. 33
  29. 58
  30. 67
  31. 27
  32. 33
  33. 43
  34. 80
  35. 22
  36. 75
  37. 81
  38. 70
  39. 20
  40. 25

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