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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 827 · 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 50, 48, 70 and 72? (a) 61 (b) 59 (c) 60 (d) 80
  2. 2.What is the average of 46, 49, 72, 75 and 63? (a) 62 (b) 63 (c) 60 (d) 61
  3. 3.What is the average of 71, 46, 44 and 67? (a) 56 (b) 76 (c) 57 (d) 58
  4. 4.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 24 (b) 19 (c) 32 (d) 11
  5. 5.What is the average of all the whole numbers from 53 to 85? (a) 16 (b) 70 (c) 69 (d) 32
  6. 6.What is the average of 51, 65, 66 and 38? (a) 56 (b) 57 (c) 55 (d) 54
  7. 7.What is the average of 13, 22, 14 and 55? (a) 25 (b) 27 (c) 26 (d) 28
  8. 8.What is the average of 12, 32, 19, 13, 12 and 38? (a) 20 (b) 21 (c) 23 (d) 22
  9. 9.The average of 4 numbers is 27. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 13 (b) 12 (c) 59 (d) 27
  10. 10.What is the average of all the whole numbers from 5 to 27? (a) 17 (b) 22 (c) 16 (d) 11
  11. 11.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 103 (c) 61 (d) 54
  12. 12.A batter has an average of 59 runs in 6 matches. How many runs are needed in the next match to raise the average to 67? (a) 75 (b) 56 (c) 67 (d) 115
  13. 13.A batter has an average of 50 runs in 5 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 86 (c) 62 (d) 36
  14. 14.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 47 (b) 23 (c) 21 (d) 20
  15. 15.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 47 (b) 59 (c) 14 (d) 92
  16. 16.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 63 (b) 40 (c) 87 (d) 55
  17. 17.What is the average of 66, 90, 64, 79, 69 and 88? (a) 77 (b) 75 (c) 78 (d) 76
  18. 18.What is the average of all the whole numbers from 51 to 83? (a) 16 (b) 67 (c) 32 (d) 68
  19. 19.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 37 (b) 30 (c) 42 (d) 65
  20. 20.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 15 (b) 13 (c) 12 (d) 31
  21. 21.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 33 (b) 32 (c) 99 (d) 47
  22. 22.What is the average of 73, 74, 88, 85, 62 and 80? (a) 76 (b) 79 (c) 78 (d) 77
  23. 23.What is the average of all the whole numbers from 48 to 66? (a) 18 (b) 9 (c) 58 (d) 57
  24. 24.What is the average of all the whole numbers from 6 to 44? (a) 38 (b) 26 (c) 19 (d) 25
  25. 25.The average of 7 numbers is 36. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 36 (b) 48 (c) 14 (d) 70
  26. 26.A batter has an average of 40 runs in 9 matches. How many runs are needed in the next match to raise the average to 42? (a) 44 (b) 60 (c) 42 (d) 20
  27. 27.The average of 4 numbers is 26. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 18 (b) 55 (c) 26 (d) 17
  28. 28.What is the average of 62, 56, 46, 54, 71 and 59? (a) 58 (b) 57 (c) 59 (d) 60
  29. 29.A batter has an average of 41 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 53 (b) 36 (c) 77 (d) 47
  30. 30.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 27? (a) 16 (b) 29 (c) 41 (d) 27
  31. 31.What is the average of 67, 63, 83, 68 and 74? (a) 71 (b) 73 (c) 72 (d) 70
  32. 32.What is the average of 28, 15, 30, 43, 33 and 31? (a) 29 (b) 36 (c) 30 (d) 31
  33. 33.What is the average of all the whole numbers from 16 to 28? (a) 22 (b) 23 (c) 6 (d) 12
  34. 34.A batter has an average of 57 runs in 9 matches. How many runs are needed in the next match to raise the average to 64? (a) 64 (b) 71 (c) 70 (d) 127
  35. 35.What is the average of 51, 50, 28, 27 and 34? (a) 38 (b) 39 (c) 40 (d) 37
  36. 36.What is the average of all the whole numbers from 29 to 45? (a) 37 (b) 8 (c) 38 (d) 16
  37. 37.What is the average of 61, 45, 53 and 25? (a) 45 (b) 48 (c) 47 (d) 46
  38. 38.What is the average of all the whole numbers from 28 to 38? (a) 10 (b) 5 (c) 33 (d) 34
  39. 39.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 35 (b) 34 (c) 95 (d) 46
  40. 40.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 61 (b) 47 (c) 28 (d) 40

Answer key

  1. 60
  2. 61
  3. 57
  4. 32
  5. 69
  6. 55
  7. 26
  8. 21
  9. 12
  10. 16
  11. 103
  12. 115
  13. 86
  14. 20
  15. 59
  16. 87
  17. 76
  18. 67
  19. 65
  20. 12
  21. 32
  22. 77
  23. 57
  24. 25
  25. 48
  26. 60
  27. 17
  28. 58
  29. 77
  30. 41
  31. 71
  32. 30
  33. 22
  34. 127
  35. 38
  36. 37
  37. 46
  38. 33
  39. 34
  40. 61

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