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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 170 · 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 49 runs in 6 matches. How many runs are needed in the next match to raise the average to 51? (a) 63 (b) 51 (c) 53 (d) 14
  2. 2.What is the average of 25, 35, 38 and 10? (a) 36 (b) 27 (c) 26 (d) 28
  3. 3.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 46 (b) 34 (c) 64 (d) 16
  4. 4.What is the average of all the whole numbers from 5 to 23? (a) 9 (b) 15 (c) 18 (d) 14
  5. 5.What is the average of all the whole numbers from 6 to 12? (a) 3 (b) 10 (c) 6 (d) 9
  6. 6.The average of 7 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 38 (c) 28 (d) 24
  7. 7.What is the average of 39, 61, 35, 45, 53 and 61? (a) 50 (b) 49 (c) 51 (d) 48
  8. 8.The average of 4 numbers is 21. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 43 (b) 19 (c) 21 (d) 18
  9. 9.A batter has an average of 30 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 84 (c) 54 (d) 42
  10. 10.A batter has an average of 39 runs in 8 matches. How many runs are needed in the next match to raise the average to 46? (a) 63 (b) 46 (c) 102 (d) 53
  11. 11.What is the average of 7, 30, 23 and 24? (a) 21 (b) 20 (c) 22 (d) 28
  12. 12.A batter has an average of 20 runs in 5 matches. How many runs are needed in the next match to raise the average to 23? (a) 26 (b) 23 (c) 18 (d) 38
  13. 13.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 40 (b) 82 (c) 35 (d) 34
  14. 14.The average of 6 numbers is 36. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 36 (b) 6 (c) 71 (d) 41
  15. 15.What is the average of all the whole numbers from 55 to 95? (a) 20 (b) 40 (c) 76 (d) 75
  16. 16.What is the average of all the whole numbers from 54 to 70? (a) 8 (b) 62 (c) 63 (d) 16
  17. 17.The average of 6 numbers is 30. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 62 (b) 30 (c) 21 (d) 20
  18. 18.What is the average of all the whole numbers from 12 to 46? (a) 17 (b) 30 (c) 34 (d) 29
  19. 19.What is the average of 49, 72, 63 and 56? (a) 80 (b) 59 (c) 60 (d) 61
  20. 20.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 45 (b) 32 (c) 31 (d) 92
  21. 21.A batter has an average of 52 runs in 5 matches. How many runs are needed in the next match to raise the average to 54? (a) 12 (b) 56 (c) 64 (d) 54
  22. 22.What is the average of all the whole numbers from 7 to 37? (a) 23 (b) 22 (c) 15 (d) 30
  23. 23.What is the average of all the whole numbers from 14 to 36? (a) 25 (b) 22 (c) 11 (d) 26
  24. 24.What is the average of all the whole numbers from 56 to 92? (a) 75 (b) 74 (c) 36 (d) 18
  25. 25.The average of 8 numbers is 37. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 44 (b) 37 (c) 8 (d) 73
  26. 26.A batter has an average of 40 runs in 4 matches. How many runs are needed in the next match to raise the average to 42? (a) 10 (b) 50 (c) 42 (d) 44
  27. 27.What is the average of all the whole numbers from 60 to 74? (a) 14 (b) 67 (c) 68 (d) 7
  28. 28.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 90 (c) 45 (d) 55
  29. 29.The average of 6 numbers is 24. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 4 (b) 5 (c) 52 (d) 24
  30. 30.A batter has an average of 39 runs in 9 matches. How many runs are needed in the next match to raise the average to 47? (a) 119 (b) 47 (c) 55 (d) 80
  31. 31.What is the average of 49, 27, 34, 25 and 45? (a) 45 (b) 37 (c) 36 (d) 35
  32. 32.A batter has an average of 42 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 52 (b) 30 (c) 72 (d) 47
  33. 33.What is the average of all the whole numbers from 39 to 55? (a) 16 (b) 8 (c) 47 (d) 48
  34. 34.What is the average of 41, 33, 47, 27, 40 and 28? (a) 35 (b) 36 (c) 38 (d) 37
  35. 35.What is the average of 78, 83, 95 and 64? (a) 82 (b) 81 (c) 79 (d) 80
  36. 36.What is the average of 87, 64, 84, 66 and 94? (a) 79 (b) 81 (c) 80 (d) 78
  37. 37.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 39 (b) 74 (c) 67 (d) 32
  38. 38.A batter has an average of 57 runs in 7 matches. How many runs are needed in the next match to raise the average to 60? (a) 60 (b) 81 (c) 24 (d) 63
  39. 39.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 95 (b) 32 (c) 46 (d) 31
  40. 40.What is the average of 62, 66, 85 and 95? (a) 78 (b) 79 (c) 76 (d) 77

Answer key

  1. 63
  2. 27
  3. 46
  4. 14
  5. 9
  6. 38
  7. 49
  8. 18
  9. 84
  10. 102
  11. 21
  12. 38
  13. 34
  14. 41
  15. 75
  16. 62
  17. 20
  18. 29
  19. 60
  20. 31
  21. 64
  22. 22
  23. 25
  24. 74
  25. 44
  26. 50
  27. 67
  28. 90
  29. 4
  30. 119
  31. 36
  32. 72
  33. 47
  34. 36
  35. 80
  36. 79
  37. 67
  38. 81
  39. 31
  40. 77

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