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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 141 · 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 4 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 61 (b) 41 (c) 32 (d) 12
  2. 2.What is the average of 46, 53, 59, 45, 44 and 29? (a) 47 (b) 48 (c) 45 (d) 46
  3. 3.The average of 4 numbers is 42. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 88 (b) 42 (c) 31 (d) 30
  4. 4.The average of 6 numbers is 18. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 18 (b) 30 (c) 43 (d) 31
  5. 5.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 14 (b) 24 (c) 16 (d) 26
  6. 6.The average of 8 numbers is 43. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 81 (b) 40 (c) 43 (d) 78
  7. 7.A batter has an average of 58 runs in 8 matches. How many runs are needed in the next match to raise the average to 64? (a) 54 (b) 112 (c) 64 (d) 70
  8. 8.The average of 7 numbers is 47. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 99 (b) 18 (c) 47 (d) 17
  9. 9.What is the average of all the whole numbers from 6 to 16? (a) 12 (b) 11 (c) 5 (d) 10
  10. 10.What is the average of all the whole numbers from 8 to 40? (a) 25 (b) 24 (c) 16 (d) 32
  11. 11.A batter has an average of 41 runs in 4 matches. How many runs are needed in the next match to raise the average to 45? (a) 49 (b) 61 (c) 45 (d) 20
  12. 12.What is the average of 47, 50, 30, 45 and 18? (a) 37 (b) 39 (c) 38 (d) 40
  13. 13.The average of 6 numbers is 49. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 12 (b) 59 (c) 49 (d) 96
  14. 14.A batter has an average of 26 runs in 5 matches. How many runs are needed in the next match to raise the average to 31? (a) 36 (b) 30 (c) 31 (d) 56
  15. 15.What is the average of 32, 33, 44, 20 and 16? (a) 29 (b) 28 (c) 30 (d) 31
  16. 16.What is the average of 39, 47, 42, 62, 68 and 60? (a) 53 (b) 55 (c) 52 (d) 54
  17. 17.What is the average of 37, 39, 43, 41 and 70? (a) 45 (b) 46 (c) 48 (d) 47
  18. 18.What is the average of all the whole numbers from 40 to 54? (a) 14 (b) 48 (c) 7 (d) 47
  19. 19.What is the average of 67, 46, 68, 46, 44 and 65? (a) 55 (b) 58 (c) 57 (d) 56
  20. 20.A batter has an average of 36 runs in 5 matches. How many runs are needed in the next match to raise the average to 43? (a) 78 (b) 42 (c) 50 (d) 43
  21. 21.What is the average of all the whole numbers from 47 to 87? (a) 68 (b) 67 (c) 40 (d) 20
  22. 22.What is the average of all the whole numbers from 51 to 73? (a) 63 (b) 62 (c) 22 (d) 11
  23. 23.A batter has an average of 44 runs in 5 matches. How many runs are needed in the next match to raise the average to 52? (a) 92 (b) 52 (c) 60 (d) 48
  24. 24.What is the average of 8, 27, 29 and 28? (a) 22 (b) 25 (c) 24 (d) 23
  25. 25.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 66? (a) 84 (b) 66 (c) 72 (d) 24
  26. 26.What is the average of all the whole numbers from 54 to 68? (a) 7 (b) 61 (c) 14 (d) 62
  27. 27.What is the average of all the whole numbers from 12 to 52? (a) 40 (b) 33 (c) 32 (d) 20
  28. 28.What is the average of 93, 78, 72, 67, 70 and 100? (a) 80 (b) 81 (c) 79 (d) 96
  29. 29.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 38? (a) 43 (b) 38 (c) 30 (d) 63
  30. 30.What is the average of all the whole numbers from 48 to 54? (a) 3 (b) 52 (c) 51 (d) 6
  31. 31.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 52 (b) 76 (c) 32 (d) 48
  32. 32.A batter has an average of 20 runs in 7 matches. How many runs are needed in the next match to raise the average to 26? (a) 32 (b) 68 (c) 26 (d) 48
  33. 33.What is the average of all the whole numbers from 59 to 79? (a) 10 (b) 20 (c) 70 (d) 69
  34. 34.What is the average of 39, 58, 48 and 67? (a) 52 (b) 55 (c) 53 (d) 54
  35. 35.What is the average of 43, 50, 49 and 42? (a) 45 (b) 46 (c) 48 (d) 47
  36. 36.A batter has an average of 53 runs in 9 matches. How many runs are needed in the next match to raise the average to 56? (a) 30 (b) 83 (c) 56 (d) 59
  37. 37.What is the average of 37, 51, 59 and 41? (a) 49 (b) 48 (c) 46 (d) 47
  38. 38.What is the average of all the whole numbers from 9 to 25? (a) 8 (b) 16 (c) 17 (d) 18
  39. 39.What is the average of 46, 38, 48, 65 and 58? (a) 50 (b) 52 (c) 53 (d) 51
  40. 40.What is the average of 20, 33, 16 and 47? (a) 28 (b) 30 (c) 29 (d) 31

Answer key

  1. 41
  2. 46
  3. 30
  4. 43
  5. 26
  6. 78
  7. 112
  8. 17
  9. 11
  10. 24
  11. 61
  12. 38
  13. 59
  14. 56
  15. 29
  16. 53
  17. 46
  18. 47
  19. 56
  20. 78
  21. 67
  22. 62
  23. 92
  24. 23
  25. 84
  26. 61
  27. 32
  28. 80
  29. 63
  30. 51
  31. 76
  32. 68
  33. 69
  34. 53
  35. 46
  36. 83
  37. 47
  38. 17
  39. 51
  40. 29

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