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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 759 · 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 all the whole numbers from 24 to 38? (a) 32 (b) 7 (c) 14 (d) 31
  2. 2.What is the average of all the whole numbers from 6 to 24? (a) 15 (b) 18 (c) 16 (d) 9
  3. 3.The average of 5 numbers is 36. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 48 (b) 36 (c) 15 (d) 69
  4. 4.The average of 4 numbers is 28. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 40 (b) 28 (c) 52 (d) 16
  5. 5.What is the average of all the whole numbers from 29 to 69? (a) 50 (b) 20 (c) 40 (d) 49
  6. 6.What is the average of 39, 34, 31, 24, 13 and 27? (a) 29 (b) 27 (c) 28 (d) 30
  7. 7.What is the average of all the whole numbers from 53 to 91? (a) 38 (b) 73 (c) 72 (d) 19
  8. 8.A batter has an average of 35 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 56 (b) 41 (c) 38 (d) 21
  9. 9.What is the average of all the whole numbers from 13 to 27? (a) 21 (b) 20 (c) 14 (d) 7
  10. 10.What is the average of 74, 87, 59 and 76? (a) 73 (b) 75 (c) 76 (d) 74
  11. 11.What is the average of 46, 66, 67 and 41? (a) 54 (b) 55 (c) 57 (d) 56
  12. 12.What is the average of all the whole numbers from 22 to 38? (a) 8 (b) 30 (c) 16 (d) 31
  13. 13.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 32? (a) 32 (b) 34 (c) 16 (d) 46
  14. 14.What is the average of 33, 13, 24, 26 and 24? (a) 30 (b) 24 (c) 25 (d) 23
  15. 15.What is the average of 75, 81, 59, 59, 73 and 97? (a) 73 (b) 76 (c) 75 (d) 74
  16. 16.What is the average of all the whole numbers from 5 to 31? (a) 26 (b) 19 (c) 18 (d) 13
  17. 17.What is the average of 74, 73, 86, 73, 83 and 37? (a) 70 (b) 72 (c) 71 (d) 73
  18. 18.A batter has an average of 27 runs in 3 matches. How many runs are needed in the next match to raise the average to 30? (a) 39 (b) 30 (c) 12 (d) 33
  19. 19.A batter has an average of 33 runs in 6 matches. How many runs are needed in the next match to raise the average to 35? (a) 47 (b) 37 (c) 14 (d) 35
  20. 20.What is the average of all the whole numbers from 24 to 52? (a) 14 (b) 28 (c) 39 (d) 38
  21. 21.What is the average of 37, 26, 33, 43 and 41? (a) 35 (b) 37 (c) 36 (d) 45
  22. 22.What is the average of all the whole numbers from 12 to 24? (a) 6 (b) 19 (c) 12 (d) 18
  23. 23.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 29 (b) 83 (c) 28 (d) 40
  24. 24.What is the average of 46, 67, 61, 58 and 28? (a) 53 (b) 52 (c) 65 (d) 51
  25. 25.A batter has an average of 36 runs in 6 matches. How many runs are needed in the next match to raise the average to 38? (a) 40 (b) 38 (c) 14 (d) 50
  26. 26.What is the average of 21, 9, 28, 8 and 39? (a) 23 (b) 22 (c) 20 (d) 21
  27. 27.What is the average of 64, 65, 68 and 111? (a) 76 (b) 79 (c) 77 (d) 78
  28. 28.What is the average of all the whole numbers from 33 to 43? (a) 39 (b) 38 (c) 5 (d) 10
  29. 29.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 27 (b) 41 (c) 26 (d) 87
  30. 30.The average of 4 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 99 (b) 47 (c) 32 (d) 33
  31. 31.What is the average of all the whole numbers from 22 to 48? (a) 26 (b) 35 (c) 36 (d) 13
  32. 32.The average of 6 numbers is 22. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 47 (b) 30 (c) 22 (d) 39
  33. 33.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 36? (a) 42 (b) 36 (c) 48 (d) 78
  34. 34.What is the average of all the whole numbers from 12 to 30? (a) 22 (b) 18 (c) 9 (d) 21
  35. 35.What is the average of all the whole numbers from 43 to 77? (a) 34 (b) 60 (c) 61 (d) 17
  36. 36.What is the average of all the whole numbers from 32 to 42? (a) 5 (b) 10 (c) 38 (d) 37
  37. 37.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 40 (b) 85 (c) 39 (d) 42
  38. 38.What is the average of all the whole numbers from 52 to 66? (a) 7 (b) 59 (c) 60 (d) 14
  39. 39.What is the average of 25, 20, 32 and 55? (a) 32 (b) 44 (c) 34 (d) 33
  40. 40.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 58 (c) 33 (d) 57

Answer key

  1. 31
  2. 15
  3. 48
  4. 40
  5. 49
  6. 28
  7. 72
  8. 56
  9. 20
  10. 74
  11. 55
  12. 30
  13. 46
  14. 24
  15. 74
  16. 18
  17. 71
  18. 39
  19. 47
  20. 38
  21. 36
  22. 18
  23. 28
  24. 52
  25. 50
  26. 21
  27. 77
  28. 38
  29. 26
  30. 32
  31. 35
  32. 47
  33. 78
  34. 21
  35. 60
  36. 37
  37. 39
  38. 59
  39. 33
  40. 57

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