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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 509 · 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 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 60 (b) 29 (c) 35 (d) 83
  2. 2.What is the average of 68, 76, 77, 67 and 47? (a) 66 (b) 69 (c) 68 (d) 67
  3. 3.A batter has an average of 38 runs in 7 matches. How many runs are needed in the next match to raise the average to 44? (a) 44 (b) 86 (c) 48 (d) 50
  4. 4.What is the average of 81, 82, 82 and 59? (a) 77 (b) 75 (c) 78 (d) 76
  5. 5.What is the average of 43, 37, 41 and 87? (a) 53 (b) 51 (c) 54 (d) 52
  6. 6.What is the average of all the whole numbers from 8 to 30? (a) 19 (b) 11 (c) 22 (d) 20
  7. 7.What is the average of 32, 53, 38, 52 and 20? (a) 40 (b) 39 (c) 38 (d) 41
  8. 8.What is the average of all the whole numbers from 26 to 64? (a) 45 (b) 38 (c) 46 (d) 19
  9. 9.What is the average of all the whole numbers from 14 to 20? (a) 3 (b) 18 (c) 6 (d) 17
  10. 10.A batter has an average of 33 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 37 (b) 51 (c) 18 (d) 35
  11. 11.What is the average of 63, 60, 59, 54, 79 and 69? (a) 66 (b) 65 (c) 63 (d) 64
  12. 12.What is the average of 52, 41, 47, 45, 48 and 55? (a) 48 (b) 47 (c) 50 (d) 49
  13. 13.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 36 (c) 64 (d) 84
  14. 14.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 48 (b) 42 (c) 66 (d) 30
  15. 15.What is the average of 14, 34, 20 and 32? (a) 24 (b) 25 (c) 27 (d) 26
  16. 16.What is the average of all the whole numbers from 59 to 81? (a) 22 (b) 71 (c) 70 (d) 11
  17. 17.What is the average of all the whole numbers from 45 to 59? (a) 52 (b) 7 (c) 53 (d) 14
  18. 18.What is the average of 91, 80, 74 and 63? (a) 78 (b) 76 (c) 77 (d) 79
  19. 19.What is the average of 78, 77, 73 and 68? (a) 76 (b) 74 (c) 73 (d) 75
  20. 20.What is the average of 50, 51, 46 and 93? (a) 61 (b) 80 (c) 59 (d) 60
  21. 21.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 73 (b) 23 (c) 24 (d) 35
  22. 22.What is the average of 34, 19, 24, 19, 14 and 34? (a) 23 (b) 26 (c) 25 (d) 24
  23. 23.What is the average of all the whole numbers from 25 to 31? (a) 3 (b) 6 (c) 28 (d) 29
  24. 24.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 32 (b) 16 (c) 10 (d) 38
  25. 25.What is the average of 51, 46, 49 and 86? (a) 57 (b) 58 (c) 60 (d) 59
  26. 26.What is the average of 76, 65, 61, 72 and 31? (a) 60 (b) 62 (c) 61 (d) 63
  27. 27.What is the average of 37, 27, 47, 56 and 43? (a) 44 (b) 43 (c) 41 (d) 42
  28. 28.A batter has an average of 58 runs in 5 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 42 (c) 100 (d) 72
  29. 29.What is the average of all the whole numbers from 42 to 56? (a) 7 (b) 49 (c) 50 (d) 14
  30. 30.What is the average of 68, 44, 73, 61, 55 and 53? (a) 61 (b) 58 (c) 60 (d) 59
  31. 31.What is the average of all the whole numbers from 20 to 36? (a) 16 (b) 8 (c) 29 (d) 28
  32. 32.What is the average of 25, 36, 45 and 30? (a) 35 (b) 33 (c) 36 (d) 34
  33. 33.What is the average of 43, 61, 38, 60, 35 and 57? (a) 48 (b) 50 (c) 51 (d) 49
  34. 34.The average of 8 numbers is 35. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 15 (b) 14 (c) 35 (d) 73
  35. 35.The average of 4 numbers is 10. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 16 (b) 22 (c) 23 (d) 10
  36. 36.What is the average of 37, 54, 37 and 80? (a) 53 (b) 54 (c) 51 (d) 52
  37. 37.What is the average of all the whole numbers from 19 to 49? (a) 34 (b) 35 (c) 30 (d) 15
  38. 38.A batter has an average of 34 runs in 3 matches. How many runs are needed in the next match to raise the average to 39? (a) 20 (b) 39 (c) 54 (d) 44
  39. 39.What is the average of 21, 22, 34, 26 and 62? (a) 32 (b) 35 (c) 33 (d) 34
  40. 40.What is the average of 29, 37, 29 and 77? (a) 44 (b) 42 (c) 45 (d) 43

Answer key

  1. 83
  2. 67
  3. 86
  4. 76
  5. 52
  6. 19
  7. 39
  8. 45
  9. 17
  10. 51
  11. 64
  12. 48
  13. 84
  14. 66
  15. 25
  16. 70
  17. 52
  18. 77
  19. 74
  20. 60
  21. 23
  22. 24
  23. 28
  24. 38
  25. 58
  26. 61
  27. 42
  28. 100
  29. 49
  30. 59
  31. 28
  32. 34
  33. 49
  34. 14
  35. 22
  36. 52
  37. 34
  38. 54
  39. 33
  40. 43

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