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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 583 · 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.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 50 (b) 54 (c) 99 (d) 5
  2. 2.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 32? (a) 35 (b) 21 (c) 50 (d) 32
  3. 3.What is the average of all the whole numbers from 12 to 22? (a) 10 (b) 17 (c) 18 (d) 5
  4. 4.The average of 8 numbers is 42. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 83 (b) 49 (c) 42 (d) 8
  5. 5.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 35 (b) 74 (c) 44 (d) 83
  6. 6.What is the average of all the whole numbers from 32 to 56? (a) 24 (b) 44 (c) 12 (d) 45
  7. 7.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 50? (a) 104 (b) 60 (c) 56 (d) 50
  8. 8.The average of 4 numbers is 44. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 92 (b) 33 (c) 44 (d) 32
  9. 9.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 28? (a) 35 (b) 56 (c) 77 (d) 28
  10. 10.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 28 (b) 57 (c) 36 (d) 43
  11. 11.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 26? (a) 42 (b) 28 (c) 26 (d) 18
  12. 12.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 56 (b) 30 (c) 59 (d) 83
  13. 13.What is the average of 12, 11, 13 and 56? (a) 25 (b) 22 (c) 23 (d) 24
  14. 14.The average of 6 numbers is 12. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 23 (b) 12 (c) 6 (d) 17
  15. 15.What is the average of 20, 24, 12, 10, 17 and 55? (a) 22 (b) 25 (c) 23 (d) 24
  16. 16.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 26 (b) 80 (c) 39 (d) 25
  17. 17.A batter has an average of 48 runs in 6 matches. How many runs are needed in the next match to raise the average to 54? (a) 90 (b) 42 (c) 54 (d) 60
  18. 18.What is the average of all the whole numbers from 7 to 31? (a) 12 (b) 19 (c) 20 (d) 24
  19. 19.A batter has an average of 29 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 45 (b) 37 (c) 32 (d) 61
  20. 20.The average of 8 numbers is 45. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 17 (b) 94 (c) 45 (d) 18
  21. 21.What is the average of all the whole numbers from 58 to 70? (a) 6 (b) 12 (c) 65 (d) 64
  22. 22.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 87 (b) 44 (c) 7 (d) 50
  23. 23.A batter has an average of 22 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 27 (b) 32 (c) 67 (d) 45
  24. 24.The average of 8 numbers is 49. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 93 (b) 40 (c) 84 (d) 49
  25. 25.What is the average of 19, 28, 12, 40, 33 and 30? (a) 27 (b) 26 (c) 29 (d) 28
  26. 26.What is the average of all the whole numbers from 51 to 83? (a) 16 (b) 68 (c) 67 (d) 32
  27. 27.What is the average of all the whole numbers from 38 to 66? (a) 14 (b) 52 (c) 28 (d) 53
  28. 28.A batter has an average of 52 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 60 (b) 56 (c) 68 (d) 16
  29. 29.What is the average of 95, 87, 65 and 73? (a) 82 (b) 80 (c) 79 (d) 81
  30. 30.What is the average of all the whole numbers from 14 to 24? (a) 5 (b) 19 (c) 20 (d) 10
  31. 31.What is the average of 61, 57, 54, 43, 55 and 72? (a) 58 (b) 56 (c) 57 (d) 59
  32. 32.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 16 (b) 86 (c) 44 (d) 58
  33. 33.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 90 (b) 20 (c) 43 (d) 19
  34. 34.What is the average of 35, 22, 35 and 28? (a) 40 (b) 29 (c) 30 (d) 31
  35. 35.What is the average of 30, 44, 52, 38, 41 and 17? (a) 36 (b) 37 (c) 38 (d) 39
  36. 36.A batter has an average of 47 runs in 6 matches. How many runs are needed in the next match to raise the average to 55? (a) 103 (b) 63 (c) 55 (d) 56
  37. 37.What is the average of all the whole numbers from 12 to 34? (a) 11 (b) 23 (c) 24 (d) 22
  38. 38.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 62? (a) 62 (b) 65 (c) 80 (d) 21
  39. 39.The average of 4 numbers is 39. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 31 (b) 39 (c) 30 (d) 81
  40. 40.What is the average of all the whole numbers from 57 to 79? (a) 22 (b) 68 (c) 11 (d) 69

Answer key

  1. 54
  2. 50
  3. 17
  4. 49
  5. 74
  6. 44
  7. 104
  8. 32
  9. 77
  10. 57
  11. 42
  12. 83
  13. 23
  14. 17
  15. 23
  16. 25
  17. 90
  18. 19
  19. 61
  20. 17
  21. 64
  22. 50
  23. 67
  24. 84
  25. 27
  26. 67
  27. 52
  28. 68
  29. 80
  30. 19
  31. 57
  32. 58
  33. 19
  34. 30
  35. 37
  36. 103
  37. 23
  38. 80
  39. 30
  40. 68

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