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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 420 · 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 8 numbers is 11. When one number is taken away, the average of the rest is 6. Which number was taken away? (a) 40 (b) 46 (c) 11 (d) 17
  2. 2.What is the average of all the whole numbers from 58 to 80? (a) 11 (b) 22 (c) 69 (d) 70
  3. 3.What is the average of all the whole numbers from 40 to 66? (a) 26 (b) 53 (c) 54 (d) 13
  4. 4.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 39 (b) 23 (c) 20 (d) 4
  5. 5.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 53. Which number was taken away? (a) 29 (b) 28 (c) 101 (d) 48
  6. 6.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 47 (b) 24 (c) 68 (d) 91
  7. 7.What is the average of 31, 33, 59, 59, 39 and 55? (a) 47 (b) 45 (c) 46 (d) 48
  8. 8.What is the average of 27, 41, 42 and 10? (a) 31 (b) 30 (c) 29 (d) 40
  9. 9.What is the average of all the whole numbers from 46 to 78? (a) 62 (b) 63 (c) 16 (d) 32
  10. 10.What is the average of 15, 30, 17, 29, 21 and 32? (a) 26 (b) 25 (c) 24 (d) 23
  11. 11.What is the average of all the whole numbers from 9 to 35? (a) 23 (b) 26 (c) 22 (d) 13
  12. 12.What is the average of 89, 82, 76, 88 and 65? (a) 80 (b) 81 (c) 100 (d) 79
  13. 13.What is the average of all the whole numbers from 5 to 19? (a) 12 (b) 7 (c) 14 (d) 13
  14. 14.A batter has an average of 25 runs in 4 matches. How many runs are needed in the next match to raise the average to 31? (a) 30 (b) 31 (c) 37 (d) 55
  15. 15.What is the average of 32, 11, 39, 16 and 32? (a) 27 (b) 28 (c) 26 (d) 25
  16. 16.The average of 7 numbers is 33. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 33 (b) 10 (c) 9 (d) 70
  17. 17.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 14 (b) 27 (c) 37 (d) 25
  18. 18.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 10 (b) 14 (c) 5 (d) 19
  19. 19.The average of 5 numbers is 35. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 20 (b) 35 (c) 66 (d) 51
  20. 20.A batter has an average of 50 runs in 9 matches. How many runs are needed in the next match to raise the average to 53? (a) 56 (b) 30 (c) 53 (d) 80
  21. 21.What is the average of 70, 83, 59, 74, 56 and 66? (a) 69 (b) 70 (c) 68 (d) 67
  22. 22.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) 54 (b) 42 (c) 84 (d) 36
  23. 23.What is the average of all the whole numbers from 14 to 24? (a) 10 (b) 5 (c) 20 (d) 19
  24. 24.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 24? (a) 28 (b) 49 (c) 24 (d) 48
  25. 25.What is the average of 8, 37, 34 and 9? (a) 22 (b) 21 (c) 23 (d) 24
  26. 26.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 80 (b) 39 (c) 32 (d) 31
  27. 27.The average of 4 numbers is 37. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 70 (b) 49 (c) 16 (d) 37
  28. 28.What is the average of 20, 16, 34, 34 and 6? (a) 21 (b) 22 (c) 24 (d) 23
  29. 29.The average of 5 numbers is 29. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 14 (b) 62 (c) 13 (d) 29
  30. 30.What is the average of all the whole numbers from 39 to 79? (a) 20 (b) 40 (c) 60 (d) 59
  31. 31.The average of 8 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 6 (b) 41 (c) 7 (d) 87
  32. 32.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 48 (c) 70 (d) 38
  33. 33.What is the average of 35, 41, 58 and 62? (a) 50 (b) 48 (c) 51 (d) 49
  34. 34.What is the average of 20, 18, 23, 33, 24 and 32? (a) 30 (b) 26 (c) 24 (d) 25
  35. 35.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 15 (b) 17 (c) 22 (d) 10
  36. 36.What is the average of 30, 32, 19 and 39? (a) 31 (b) 29 (c) 40 (d) 30
  37. 37.A batter has an average of 55 runs in 7 matches. How many runs are needed in the next match to raise the average to 62? (a) 56 (b) 111 (c) 62 (d) 69
  38. 38.What is the average of all the whole numbers from 19 to 47? (a) 33 (b) 28 (c) 14 (d) 34
  39. 39.What is the average of all the whole numbers from 60 to 76? (a) 16 (b) 69 (c) 8 (d) 68
  40. 40.What is the average of 78, 62, 70, 72 and 48? (a) 67 (b) 65 (c) 68 (d) 66

Answer key

  1. 46
  2. 69
  3. 53
  4. 23
  5. 28
  6. 68
  7. 46
  8. 30
  9. 62
  10. 24
  11. 22
  12. 80
  13. 12
  14. 55
  15. 26
  16. 9
  17. 37
  18. 14
  19. 51
  20. 80
  21. 68
  22. 84
  23. 19
  24. 48
  25. 22
  26. 31
  27. 49
  28. 22
  29. 13
  30. 59
  31. 6
  32. 70
  33. 49
  34. 25
  35. 22
  36. 30
  37. 111
  38. 33
  39. 68
  40. 66

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