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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 191 · 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 17, 34, 12 and 29? (a) 24 (b) 22 (c) 23 (d) 25
  2. 2.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 33? (a) 36 (b) 24 (c) 33 (d) 54
  3. 3.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 25? (a) 24 (b) 25 (c) 29 (d) 45
  4. 4.What is the average of 36, 17, 20, 24, 33 and 56? (a) 30 (b) 33 (c) 31 (d) 32
  5. 5.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 8 (b) 44 (c) 29 (d) 23
  6. 6.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 59 (b) 61 (c) 32 (d) 60
  7. 7.What is the average of all the whole numbers from 38 to 74? (a) 36 (b) 57 (c) 56 (d) 18
  8. 8.What is the average of all the whole numbers from 7 to 19? (a) 12 (b) 14 (c) 6 (d) 13
  9. 9.What is the average of all the whole numbers from 16 to 46? (a) 30 (b) 15 (c) 32 (d) 31
  10. 10.A batter has an average of 50 runs in 6 matches. How many runs are needed in the next match to raise the average to 53? (a) 56 (b) 53 (c) 71 (d) 21
  11. 11.A batter has an average of 40 runs in 5 matches. How many runs are needed in the next match to raise the average to 45? (a) 70 (b) 45 (c) 30 (d) 50
  12. 12.What is the average of all the whole numbers from 20 to 34? (a) 14 (b) 27 (c) 7 (d) 28
  13. 13.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 7 (b) 75 (c) 44 (d) 38
  14. 14.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 43 (b) 22 (c) 23 (d) 89
  15. 15.What is the average of 41, 27, 17 and 43? (a) 34 (b) 33 (c) 31 (d) 32
  16. 16.What is the average of 9, 18, 9, 34, 11 and 51? (a) 21 (b) 23 (c) 24 (d) 22
  17. 17.The average of 7 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 35 (b) 95 (c) 50 (d) 80
  18. 18.What is the average of 38, 64, 38 and 64? (a) 51 (b) 52 (c) 50 (d) 68
  19. 19.The average of 8 numbers is 28. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 54 (b) 28 (c) 16 (d) 42
  20. 20.What is the average of all the whole numbers from 9 to 15? (a) 3 (b) 6 (c) 12 (d) 13
  21. 21.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 105 (b) 31 (c) 30 (d) 50
  22. 22.What is the average of 76, 84, 64, 66, 74 and 86? (a) 90 (b) 76 (c) 75 (d) 74
  23. 23.What is the average of 20, 27, 15, 11, 23 and 42? (a) 22 (b) 25 (c) 23 (d) 24
  24. 24.A batter has an average of 35 runs in 7 matches. How many runs are needed in the next match to raise the average to 40? (a) 75 (b) 45 (c) 76 (d) 40
  25. 25.What is the average of all the whole numbers from 39 to 49? (a) 10 (b) 45 (c) 5 (d) 44
  26. 26.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 28? (a) 34 (b) 28 (c) 76 (d) 54
  27. 27.The average of 5 numbers is 16. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 16 (b) 24 (c) 10 (d) 30
  28. 28.What is the average of 34, 47, 52, 36 and 51? (a) 55 (b) 43 (c) 44 (d) 45
  29. 29.What is the average of all the whole numbers from 26 to 60? (a) 43 (b) 34 (c) 44 (d) 17
  30. 30.What is the average of all the whole numbers from 19 to 27? (a) 8 (b) 4 (c) 24 (d) 23
  31. 31.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 34? (a) 34 (b) 39 (c) 50 (d) 79
  32. 32.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 89 (b) 40 (c) 44 (d) 41
  33. 33.What is the average of all the whole numbers from 52 to 84? (a) 69 (b) 68 (c) 32 (d) 16
  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) 22 (b) 8 (c) 16 (d) 30
  35. 35.What is the average of 48, 46, 53, 69 and 74? (a) 60 (b) 58 (c) 59 (d) 57
  36. 36.The average of 7 numbers is 24. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 24 (b) 30 (c) 47 (d) 7
  37. 37.What is the average of all the whole numbers from 23 to 41? (a) 9 (b) 18 (c) 33 (d) 32
  38. 38.The average of 6 numbers is 42. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 57 (b) 42 (c) 81 (d) 18
  39. 39.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 56? (a) 24 (b) 76 (c) 56 (d) 60
  40. 40.What is the average of all the whole numbers from 32 to 60? (a) 28 (b) 46 (c) 47 (d) 14

Answer key

  1. 23
  2. 54
  3. 45
  4. 31
  5. 29
  6. 60
  7. 56
  8. 13
  9. 31
  10. 71
  11. 70
  12. 27
  13. 44
  14. 22
  15. 32
  16. 22
  17. 80
  18. 51
  19. 42
  20. 12
  21. 30
  22. 75
  23. 23
  24. 75
  25. 44
  26. 76
  27. 24
  28. 44
  29. 43
  30. 23
  31. 79
  32. 40
  33. 68
  34. 22
  35. 58
  36. 30
  37. 32
  38. 57
  39. 76
  40. 46

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