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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 835 · 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 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 60? (a) 10 (b) 62 (c) 60 (d) 68
  2. 2.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 31 (b) 3 (c) 14 (d) 2
  3. 3.A batter has an average of 55 runs in 6 matches. How many runs are needed in the next match to raise the average to 57? (a) 59 (b) 57 (c) 14 (d) 69
  4. 4.A batter has an average of 55 runs in 5 matches. How many runs are needed in the next match to raise the average to 62? (a) 69 (b) 62 (c) 97 (d) 42
  5. 5.What is the average of 38, 18, 17 and 23? (a) 23 (b) 25 (c) 32 (d) 24
  6. 6.The average of 5 numbers is 34. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 15 (b) 46 (c) 34 (d) 65
  7. 7.What is the average of all the whole numbers from 5 to 31? (a) 19 (b) 18 (c) 26 (d) 13
  8. 8.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 64? (a) 70 (b) 36 (c) 94 (d) 64
  9. 9.What is the average of 18, 32, 33, 20, 33 and 32? (a) 30 (b) 29 (c) 28 (d) 27
  10. 10.What is the average of all the whole numbers from 58 to 88? (a) 74 (b) 30 (c) 15 (d) 73
  11. 11.What is the average of 38, 25, 22 and 39? (a) 33 (b) 31 (c) 32 (d) 30
  12. 12.What is the average of all the whole numbers from 15 to 31? (a) 24 (b) 23 (c) 16 (d) 8
  13. 13.A batter has an average of 34 runs in 8 matches. How many runs are needed in the next match to raise the average to 37? (a) 40 (b) 27 (c) 61 (d) 37
  14. 14.A batter has an average of 28 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 40 (b) 38 (c) 68 (d) 33
  15. 15.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 50 (b) 25 (c) 70 (d) 95
  16. 16.What is the average of all the whole numbers from 51 to 57? (a) 3 (b) 54 (c) 55 (d) 6
  17. 17.The average of 6 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 86 (b) 44 (c) 12 (d) 54
  18. 18.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 22 (b) 42 (c) 39 (d) 25
  19. 19.What is the average of all the whole numbers from 36 to 64? (a) 50 (b) 14 (c) 28 (d) 51
  20. 20.The average of 4 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 87 (b) 43 (c) 41 (d) 40
  21. 21.What is the average of all the whole numbers from 57 to 87? (a) 73 (b) 15 (c) 30 (d) 72
  22. 22.What is the average of all the whole numbers from 48 to 68? (a) 59 (b) 10 (c) 58 (d) 20
  23. 23.What is the average of 14, 38, 21, 20 and 22? (a) 25 (b) 22 (c) 24 (d) 23
  24. 24.What is the average of 32, 11, 18, 32 and 37? (a) 28 (b) 25 (c) 27 (d) 26
  25. 25.What is the average of all the whole numbers from 5 to 41? (a) 24 (b) 18 (c) 23 (d) 36
  26. 26.A batter has an average of 31 runs in 8 matches. How many runs are needed in the next match to raise the average to 35? (a) 67 (b) 35 (c) 39 (d) 36
  27. 27.What is the average of 63, 55, 82 and 72? (a) 69 (b) 67 (c) 70 (d) 68
  28. 28.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 53? (a) 53 (b) 57 (c) 16 (d) 65
  29. 29.What is the average of all the whole numbers from 48 to 74? (a) 13 (b) 26 (c) 61 (d) 62
  30. 30.What is the average of 35, 40, 20, 20 and 25? (a) 28 (b) 35 (c) 29 (d) 27
  31. 31.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 48? (a) 36 (b) 48 (c) 54 (d) 78
  32. 32.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 72 (b) 44 (c) 32 (d) 84
  33. 33.What is the average of 88, 82, 78, 65 and 57? (a) 73 (b) 74 (c) 76 (d) 75
  34. 34.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 34 (b) 33 (c) 42 (d) 87
  35. 35.A batter has an average of 45 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 50 (b) 65 (c) 20 (d) 55
  36. 36.A batter has an average of 34 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 42 (b) 24 (c) 58 (d) 38
  37. 37.What is the average of all the whole numbers from 14 to 26? (a) 12 (b) 20 (c) 21 (d) 6
  38. 38.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 4 (b) 40 (c) 79 (d) 43
  39. 39.What is the average of all the whole numbers from 42 to 54? (a) 49 (b) 6 (c) 48 (d) 12
  40. 40.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 27 (b) 5 (c) 23 (d) 45

Answer key

  1. 68
  2. 2
  3. 69
  4. 97
  5. 24
  6. 46
  7. 18
  8. 94
  9. 28
  10. 73
  11. 31
  12. 23
  13. 61
  14. 68
  15. 70
  16. 54
  17. 54
  18. 42
  19. 50
  20. 40
  21. 72
  22. 58
  23. 23
  24. 26
  25. 23
  26. 67
  27. 68
  28. 65
  29. 61
  30. 28
  31. 78
  32. 72
  33. 74
  34. 33
  35. 65
  36. 58
  37. 20
  38. 43
  39. 48
  40. 27

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