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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 179 · 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 10 to 38? (a) 24 (b) 14 (c) 28 (d) 25
  2. 2.A batter has an average of 46 runs in 4 matches. How many runs are needed in the next match to raise the average to 54? (a) 54 (b) 62 (c) 86 (d) 40
  3. 3.What is the average of all the whole numbers from 24 to 58? (a) 42 (b) 17 (c) 41 (d) 34
  4. 4.The average of 6 numbers is 47. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 24 (b) 47 (c) 90 (d) 67
  5. 5.What is the average of all the whole numbers from 57 to 83? (a) 26 (b) 70 (c) 71 (d) 13
  6. 6.What is the average of all the whole numbers from 54 to 70? (a) 8 (b) 62 (c) 16 (d) 63
  7. 7.What is the average of all the whole numbers from 11 to 31? (a) 22 (b) 20 (c) 21 (d) 10
  8. 8.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 52? (a) 52 (b) 59 (c) 63 (d) 108
  9. 9.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 20 (b) 22 (c) 38 (d) 40
  10. 10.What is the average of all the whole numbers from 26 to 46? (a) 20 (b) 36 (c) 10 (d) 37
  11. 11.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 57? (a) 49 (b) 99 (c) 64 (d) 57
  12. 12.A batter has an average of 47 runs in 5 matches. How many runs are needed in the next match to raise the average to 55? (a) 95 (b) 63 (c) 55 (d) 48
  13. 13.What is the average of all the whole numbers from 37 to 61? (a) 12 (b) 50 (c) 24 (d) 49
  14. 14.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 14 (c) 32 (d) 42
  15. 15.What is the average of 24, 35, 28 and 61? (a) 39 (b) 38 (c) 37 (d) 36
  16. 16.What is the average of all the whole numbers from 32 to 72? (a) 20 (b) 53 (c) 40 (d) 52
  17. 17.What is the average of 41, 51, 50, 64, 41 and 47? (a) 50 (b) 48 (c) 49 (d) 51
  18. 18.What is the average of 80, 59, 73, 63 and 90? (a) 73 (b) 75 (c) 72 (d) 74
  19. 19.What is the average of 14, 13, 29, 32 and 37? (a) 26 (b) 27 (c) 24 (d) 25
  20. 20.What is the average of 34, 24, 51, 46, 49 and 18? (a) 39 (b) 36 (c) 38 (d) 37
  21. 21.What is the average of 48, 54, 58 and 44? (a) 68 (b) 52 (c) 50 (d) 51
  22. 22.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 23 (b) 18 (c) 13 (d) 28
  23. 23.What is the average of 56, 54, 75, 62 and 68? (a) 62 (b) 63 (c) 65 (d) 64
  24. 24.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 30? (a) 72 (b) 37 (c) 30 (d) 49
  25. 25.What is the average of all the whole numbers from 27 to 51? (a) 40 (b) 39 (c) 12 (d) 24
  26. 26.What is the average of 58, 48, 40, 61 and 63? (a) 56 (b) 55 (c) 54 (d) 53
  27. 27.The average of 7 numbers is 15. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 21 (b) 29 (c) 15 (d) 7
  28. 28.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 90 (b) 16 (c) 60 (d) 46
  29. 29.The average of 5 numbers is 17. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 17 (b) 36 (c) 9 (d) 10
  30. 30.What is the average of all the whole numbers from 28 to 60? (a) 45 (b) 32 (c) 44 (d) 16
  31. 31.What is the average of all the whole numbers from 13 to 37? (a) 25 (b) 24 (c) 12 (d) 26
  32. 32.What is the average of all the whole numbers from 24 to 64? (a) 40 (b) 45 (c) 44 (d) 20
  33. 33.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) 28 (b) 52 (c) 16 (d) 40
  34. 34.What is the average of all the whole numbers from 37 to 43? (a) 3 (b) 40 (c) 41 (d) 6
  35. 35.What is the average of all the whole numbers from 52 to 90? (a) 71 (b) 72 (c) 19 (d) 38
  36. 36.The average of 4 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 15 (b) 20 (c) 25 (d) 30
  37. 37.What is the average of 19, 41, 24, 12 and 39? (a) 26 (b) 27 (c) 28 (d) 29
  38. 38.What is the average of 39, 36, 59, 39, 48 and 43? (a) 43 (b) 45 (c) 44 (d) 46
  39. 39.A batter has an average of 33 runs in 5 matches. How many runs are needed in the next match to raise the average to 40? (a) 42 (b) 47 (c) 75 (d) 40
  40. 40.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 32? (a) 32 (b) 47 (c) 37 (d) 20

Answer key

  1. 24
  2. 86
  3. 41
  4. 67
  5. 70
  6. 62
  7. 21
  8. 108
  9. 38
  10. 36
  11. 99
  12. 95
  13. 49
  14. 42
  15. 37
  16. 52
  17. 49
  18. 73
  19. 25
  20. 37
  21. 51
  22. 28
  23. 63
  24. 72
  25. 39
  26. 54
  27. 21
  28. 60
  29. 9
  30. 44
  31. 25
  32. 44
  33. 40
  34. 40
  35. 71
  36. 30
  37. 27
  38. 44
  39. 75
  40. 47

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