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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 580 · 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 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 25 (c) 59 (d) 74
  2. 2.What is the average of all the whole numbers from 11 to 25? (a) 18 (b) 19 (c) 7 (d) 14
  3. 3.What is the average of all the whole numbers from 8 to 22? (a) 14 (b) 7 (c) 16 (d) 15
  4. 4.What is the average of 29, 24, 33 and 50? (a) 36 (b) 33 (c) 35 (d) 34
  5. 5.What is the average of 60, 57, 64 and 15? (a) 48 (b) 49 (c) 51 (d) 50
  6. 6.What is the average of 53, 60, 65 and 94? (a) 67 (b) 69 (c) 70 (d) 68
  7. 7.A batter has an average of 33 runs in 7 matches. How many runs are needed in the next match to raise the average to 41? (a) 64 (b) 49 (c) 41 (d) 97
  8. 8.What is the average of all the whole numbers from 9 to 19? (a) 15 (b) 5 (c) 14 (d) 10
  9. 9.What is the average of all the whole numbers from 51 to 77? (a) 13 (b) 65 (c) 26 (d) 64
  10. 10.What is the average of all the whole numbers from 14 to 22? (a) 8 (b) 4 (c) 18 (d) 19
  11. 11.What is the average of all the whole numbers from 12 to 28? (a) 8 (b) 16 (c) 20 (d) 21
  12. 12.What is the average of 50, 62, 45, 65, 44 and 88? (a) 58 (b) 61 (c) 60 (d) 59
  13. 13.A batter has an average of 24 runs in 8 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 36 (c) 32 (d) 60
  14. 14.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 29 (b) 44 (c) 92 (d) 28
  15. 15.What is the average of 87, 69, 75, 73 and 91? (a) 79 (b) 80 (c) 78 (d) 81
  16. 16.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 65? (a) 28 (b) 72 (c) 86 (d) 65
  17. 17.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 36? (a) 36 (b) 38 (c) 8 (d) 42
  18. 18.What is the average of all the whole numbers from 13 to 33? (a) 20 (b) 10 (c) 23 (d) 24
  19. 19.What is the average of 76, 92, 87, 69, 83 and 67? (a) 80 (b) 81 (c) 78 (d) 79
  20. 20.What is the average of 58, 51, 73, 55 and 93? (a) 66 (b) 67 (c) 65 (d) 68
  21. 21.The average of 4 numbers is 17. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 37 (b) 8 (c) 9 (d) 17
  22. 22.What is the average of 19, 32, 44, 19 and 56? (a) 36 (b) 33 (c) 35 (d) 34
  23. 23.What is the average of all the whole numbers from 17 to 29? (a) 12 (b) 23 (c) 24 (d) 6
  24. 24.A batter has an average of 30 runs in 7 matches. How many runs are needed in the next match to raise the average to 37? (a) 86 (b) 44 (c) 37 (d) 56
  25. 25.A batter has an average of 56 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 64 (b) 20 (c) 60 (d) 76
  26. 26.What is the average of all the whole numbers from 41 to 69? (a) 56 (b) 14 (c) 55 (d) 28
  27. 27.A batter has an average of 31 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 35 (b) 28 (c) 59 (d) 39
  28. 28.A batter has an average of 21 runs in 5 matches. How many runs are needed in the next match to raise the average to 27? (a) 36 (b) 33 (c) 57 (d) 27
  29. 29.What is the average of all the whole numbers from 17 to 41? (a) 24 (b) 29 (c) 12 (d) 30
  30. 30.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 47 (b) 35 (c) 66 (d) 16
  31. 31.What is the average of 42, 28, 27 and 55? (a) 38 (b) 40 (c) 37 (d) 39
  32. 32.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 42 (b) 25 (c) 37 (d) 57
  33. 33.What is the average of all the whole numbers from 30 to 58? (a) 44 (b) 14 (c) 28 (d) 45
  34. 34.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 8 (b) 30 (c) 22 (d) 16
  35. 35.What is the average of 60, 65, 54, 59 and 72? (a) 64 (b) 63 (c) 62 (d) 61
  36. 36.A batter has an average of 35 runs in 3 matches. How many runs are needed in the next match to raise the average to 43? (a) 67 (b) 51 (c) 32 (d) 43
  37. 37.The average of 6 numbers is 41. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 41 (b) 21 (c) 86 (d) 22
  38. 38.The average of 4 numbers is 29. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 59 (b) 26 (c) 27 (d) 29
  39. 39.The average of 6 numbers is 46. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 46 (b) 24 (c) 66 (d) 88
  40. 40.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 8 (b) 31 (c) 23 (d) 16

Answer key

  1. 74
  2. 18
  3. 15
  4. 34
  5. 49
  6. 68
  7. 97
  8. 14
  9. 64
  10. 18
  11. 20
  12. 59
  13. 60
  14. 28
  15. 79
  16. 86
  17. 42
  18. 23
  19. 79
  20. 66
  21. 8
  22. 34
  23. 23
  24. 86
  25. 76
  26. 55
  27. 59
  28. 57
  29. 29
  30. 47
  31. 38
  32. 57
  33. 44
  34. 22
  35. 62
  36. 67
  37. 21
  38. 26
  39. 66
  40. 23

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