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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 355 · 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.What is the average of 84, 73, 64, 69 and 100? (a) 78 (b) 80 (c) 77 (d) 79
  2. 2.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 44 (b) 23 (c) 12 (d) 33
  3. 3.What is the average of 49, 61, 59 and 39? (a) 54 (b) 51 (c) 52 (d) 53
  4. 4.What is the average of all the whole numbers from 41 to 47? (a) 45 (b) 44 (c) 3 (d) 6
  5. 5.What is the average of all the whole numbers from 18 to 56? (a) 19 (b) 38 (c) 36 (d) 37
  6. 6.A batter has an average of 38 runs in 3 matches. How many runs are needed in the next match to raise the average to 46? (a) 32 (b) 46 (c) 54 (d) 70
  7. 7.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 40? (a) 40 (b) 58 (c) 42 (d) 20
  8. 8.What is the average of 59, 65, 80 and 88? (a) 74 (b) 72 (c) 73 (d) 75
  9. 9.What is the average of 59, 52, 44, 47 and 58? (a) 53 (b) 52 (c) 65 (d) 51
  10. 10.A batter has an average of 44 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 84 (c) 60 (d) 40
  11. 11.What is the average of all the whole numbers from 60 to 86? (a) 26 (b) 73 (c) 74 (d) 13
  12. 12.What is the average of 73, 81, 77 and 49? (a) 69 (b) 71 (c) 70 (d) 72
  13. 13.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 7 (b) 23 (c) 45 (d) 29
  14. 14.What is the average of 20, 29, 12, 36 and 13? (a) 22 (b) 24 (c) 21 (d) 23
  15. 15.What is the average of all the whole numbers from 19 to 33? (a) 26 (b) 27 (c) 7 (d) 14
  16. 16.The average of 7 numbers is 11. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 11 (b) 21 (c) 17 (d) 7
  17. 17.What is the average of 47, 34, 40, 55, 56 and 56? (a) 47 (b) 48 (c) 50 (d) 49
  18. 18.What is the average of all the whole numbers from 51 to 61? (a) 57 (b) 5 (c) 10 (d) 56
  19. 19.What is the average of 67, 73, 59 and 41? (a) 60 (b) 59 (c) 80 (d) 61
  20. 20.The average of 5 numbers is 13. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 10 (b) 24 (c) 21 (d) 13
  21. 21.What is the average of 49, 48, 48, 37 and 53? (a) 47 (b) 49 (c) 48 (d) 46
  22. 22.What is the average of all the whole numbers from 49 to 85? (a) 36 (b) 18 (c) 67 (d) 68
  23. 23.A batter has an average of 55 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 63 (b) 75 (c) 20 (d) 59
  24. 24.What is the average of 40, 25, 43, 21 and 31? (a) 32 (b) 33 (c) 31 (d) 40
  25. 25.What is the average of 51, 41, 40 and 64? (a) 49 (b) 50 (c) 51 (d) 48
  26. 26.A batter has an average of 46 runs in 6 matches. How many runs are needed in the next match to raise the average to 52? (a) 58 (b) 42 (c) 52 (d) 88
  27. 27.What is the average of 30, 15, 22, 32, 15 and 66? (a) 31 (b) 29 (c) 36 (d) 30
  28. 28.A batter has an average of 43 runs in 6 matches. How many runs are needed in the next match to raise the average to 47? (a) 71 (b) 47 (c) 51 (d) 28
  29. 29.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 32? (a) 48 (b) 38 (c) 74 (d) 32
  30. 30.What is the average of 38, 23, 39, 35, 49 and 20? (a) 35 (b) 34 (c) 36 (d) 33
  31. 31.A batter has an average of 53 runs in 7 matches. How many runs are needed in the next match to raise the average to 56? (a) 24 (b) 77 (c) 59 (d) 56
  32. 32.What is the average of 76, 73, 56, 68 and 62? (a) 66 (b) 69 (c) 67 (d) 68
  33. 33.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 26? (a) 32 (b) 24 (c) 26 (d) 44
  34. 34.What is the average of 68, 54, 67, 66 and 25? (a) 70 (b) 56 (c) 55 (d) 57
  35. 35.A batter has an average of 26 runs in 8 matches. How many runs are needed in the next match to raise the average to 29? (a) 27 (b) 32 (c) 29 (d) 53
  36. 36.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) 34 (b) 24 (c) 22 (d) 14
  37. 37.What is the average of 65, 75, 57, 61 and 102? (a) 71 (b) 72 (c) 73 (d) 90
  38. 38.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 40? (a) 64 (b) 44 (c) 28 (d) 40
  39. 39.What is the average of 28, 23, 17 and 48? (a) 29 (b) 30 (c) 28 (d) 31
  40. 40.What is the average of all the whole numbers from 39 to 51? (a) 12 (b) 6 (c) 46 (d) 45

Answer key

  1. 78
  2. 33
  3. 52
  4. 44
  5. 37
  6. 70
  7. 58
  8. 73
  9. 52
  10. 84
  11. 73
  12. 70
  13. 29
  14. 22
  15. 26
  16. 17
  17. 48
  18. 56
  19. 60
  20. 21
  21. 47
  22. 67
  23. 75
  24. 32
  25. 49
  26. 88
  27. 30
  28. 71
  29. 74
  30. 34
  31. 77
  32. 67
  33. 44
  34. 56
  35. 53
  36. 34
  37. 72
  38. 64
  39. 29
  40. 45

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