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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 432 · 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 9 to 19? (a) 14 (b) 10 (c) 5 (d) 15
  2. 2.A batter has an average of 43 runs in 4 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 40 (c) 83 (d) 59
  3. 3.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 20 (b) 45 (c) 5 (d) 6
  4. 4.What is the average of 27, 32, 56, 54 and 41? (a) 41 (b) 44 (c) 43 (d) 42
  5. 5.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 22? (a) 24 (b) 22 (c) 38 (d) 18
  6. 6.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 32? (a) 12 (b) 41 (c) 35 (d) 32
  7. 7.The average of 4 numbers is 35. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 35 (b) 50 (c) 65 (d) 20
  8. 8.What is the average of all the whole numbers from 57 to 93? (a) 76 (b) 36 (c) 18 (d) 75
  9. 9.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 23? (a) 41 (b) 26 (c) 23 (d) 21
  10. 10.A batter has an average of 54 runs in 6 matches. How many runs are needed in the next match to raise the average to 62? (a) 56 (b) 62 (c) 110 (d) 70
  11. 11.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 11 (b) 10 (c) 20 (d) 19
  12. 12.What is the average of 60, 63, 74, 65 and 108? (a) 75 (b) 74 (c) 76 (d) 73
  13. 13.What is the average of all the whole numbers from 9 to 39? (a) 30 (b) 15 (c) 25 (d) 24
  14. 14.What is the average of all the whole numbers from 16 to 36? (a) 20 (b) 26 (c) 10 (d) 27
  15. 15.What is the average of all the whole numbers from 8 to 18? (a) 10 (b) 5 (c) 14 (d) 13
  16. 16.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 37. Which number was taken away? (a) 77 (b) 55 (c) 18 (d) 40
  17. 17.The average of 7 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 34 (b) 81 (c) 35 (d) 40
  18. 18.What is the average of all the whole numbers from 34 to 64? (a) 15 (b) 50 (c) 49 (d) 30
  19. 19.What is the average of 79, 51, 74, 57 and 69? (a) 67 (b) 65 (c) 66 (d) 68
  20. 20.The average of 7 numbers is 44. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 84 (b) 68 (c) 28 (d) 44
  21. 21.The average of 7 numbers is 48. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 14 (b) 60 (c) 94 (d) 48
  22. 22.What is the average of 29, 12, 28 and 23? (a) 22 (b) 24 (c) 25 (d) 23
  23. 23.What is the average of 43, 36, 29 and 32? (a) 37 (b) 35 (c) 36 (d) 34
  24. 24.What is the average of 64, 65, 69 and 46? (a) 62 (b) 60 (c) 63 (d) 61
  25. 25.What is the average of 45, 29, 20, 22, 36 and 52? (a) 33 (b) 35 (c) 36 (d) 34
  26. 26.The average of 5 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 61 (b) 35 (c) 5 (d) 31
  27. 27.What is the average of all the whole numbers from 56 to 84? (a) 28 (b) 70 (c) 71 (d) 14
  28. 28.What is the average of all the whole numbers from 22 to 50? (a) 28 (b) 36 (c) 37 (d) 14
  29. 29.What is the average of all the whole numbers from 33 to 49? (a) 8 (b) 16 (c) 42 (d) 41
  30. 30.The average of 5 numbers is 49. When one number is taken away, the average of the rest is 54. Which number was taken away? (a) 29 (b) 30 (c) 49 (d) 103
  31. 31.What is the average of all the whole numbers from 19 to 47? (a) 14 (b) 33 (c) 34 (d) 28
  32. 32.What is the average of 48, 41, 49, 49 and 73? (a) 52 (b) 51 (c) 65 (d) 53
  33. 33.The average of 5 numbers is 30. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 18 (b) 19 (c) 63 (d) 30
  34. 34.The average of 6 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 23 (b) 12 (c) 44 (d) 33
  35. 35.What is the average of all the whole numbers from 46 to 74? (a) 14 (b) 61 (c) 28 (d) 60
  36. 36.What is the average of 72, 48, 60 and 72? (a) 84 (b) 63 (c) 64 (d) 62
  37. 37.What is the average of 66, 60, 50, 73, 64 and 47? (a) 59 (b) 72 (c) 60 (d) 61
  38. 38.A batter has an average of 23 runs in 9 matches. How many runs are needed in the next match to raise the average to 25? (a) 25 (b) 43 (c) 20 (d) 27
  39. 39.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 29? (a) 47 (b) 35 (c) 24 (d) 29
  40. 40.What is the average of all the whole numbers from 17 to 43? (a) 13 (b) 31 (c) 30 (d) 26

Answer key

  1. 14
  2. 83
  3. 5
  4. 42
  5. 38
  6. 41
  7. 50
  8. 75
  9. 41
  10. 110
  11. 19
  12. 74
  13. 24
  14. 26
  15. 13
  16. 55
  17. 34
  18. 49
  19. 66
  20. 68
  21. 60
  22. 23
  23. 35
  24. 61
  25. 34
  26. 35
  27. 70
  28. 36
  29. 41
  30. 29
  31. 33
  32. 52
  33. 18
  34. 33
  35. 60
  36. 63
  37. 60
  38. 43
  39. 47
  40. 30

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