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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 182 · 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 48. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 51 (b) 48 (c) 4 (d) 95
  2. 2.A batter has an average of 41 runs in 8 matches. How many runs are needed in the next match to raise the average to 43? (a) 18 (b) 59 (c) 43 (d) 45
  3. 3.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) 12 (b) 23 (c) 33 (d) 44
  4. 4.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 51? (a) 56 (b) 51 (c) 58 (d) 100
  5. 5.The average of 6 numbers is 32. When one number is taken away, the average of the rest is 29. Which number was taken away? (a) 18 (b) 32 (c) 61 (d) 47
  6. 6.The average of 7 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 35 (b) 23 (c) 53 (d) 41
  7. 7.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 35? (a) 75 (b) 40 (c) 45 (d) 35
  8. 8.A batter has an average of 49 runs in 8 matches. How many runs are needed in the next match to raise the average to 51? (a) 51 (b) 67 (c) 18 (d) 53
  9. 9.What is the average of all the whole numbers from 53 to 71? (a) 63 (b) 18 (c) 9 (d) 62
  10. 10.What is the average of all the whole numbers from 50 to 84? (a) 68 (b) 67 (c) 17 (d) 34
  11. 11.What is the average of 26, 46, 31, 51 and 46? (a) 50 (b) 40 (c) 41 (d) 39
  12. 12.What is the average of 51, 57, 53, 42, 57 and 22? (a) 47 (b) 48 (c) 49 (d) 46
  13. 13.A batter has an average of 53 runs in 3 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 8 (c) 61 (d) 57
  14. 14.A batter has an average of 21 runs in 7 matches. How many runs are needed in the next match to raise the average to 24? (a) 46 (b) 27 (c) 45 (d) 24
  15. 15.The average of 7 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 26 (b) 78 (c) 27 (d) 38
  16. 16.The average of 5 numbers is 11. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 4 (b) 11 (c) 24 (d) 3
  17. 17.The average of 8 numbers is 46. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 46 (b) 91 (c) 53 (d) 8
  18. 18.A batter has an average of 28 runs in 8 matches. How many runs are needed in the next match to raise the average to 36? (a) 100 (b) 36 (c) 44 (d) 72
  19. 19.A batter has an average of 49 runs in 4 matches. How many runs are needed in the next match to raise the average to 55? (a) 55 (b) 61 (c) 79 (d) 30
  20. 20.The average of 4 numbers is 49. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 49 (b) 16 (c) 61 (d) 94
  21. 21.The average of 5 numbers is 39. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 79 (b) 35 (c) 39 (d) 36
  22. 22.A batter has an average of 38 runs in 6 matches. How many runs are needed in the next match to raise the average to 45? (a) 52 (b) 87 (c) 49 (d) 45
  23. 23.What is the average of 63, 57, 56, 73, 77 and 58? (a) 66 (b) 64 (c) 63 (d) 65
  24. 24.What is the average of all the whole numbers from 60 to 70? (a) 66 (b) 10 (c) 5 (d) 65
  25. 25.What is the average of 37, 32, 54, 57 and 35? (a) 44 (b) 45 (c) 42 (d) 43
  26. 26.What is the average of all the whole numbers from 36 to 70? (a) 34 (b) 17 (c) 54 (d) 53
  27. 27.The average of 4 numbers is 40. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 37 (b) 40 (c) 81 (d) 38
  28. 28.What is the average of 49, 21, 23, 29, 20 and 68? (a) 35 (b) 42 (c) 34 (d) 36
  29. 29.What is the average of all the whole numbers from 23 to 57? (a) 17 (b) 34 (c) 41 (d) 40
  30. 30.What is the average of 24, 25, 33, 17 and 61? (a) 40 (b) 31 (c) 32 (d) 33
  31. 31.A batter has an average of 58 runs in 4 matches. How many runs are needed in the next match to raise the average to 64? (a) 88 (b) 30 (c) 70 (d) 64
  32. 32.What is the average of all the whole numbers from 13 to 27? (a) 20 (b) 14 (c) 7 (d) 21
  33. 33.The average of 8 numbers is 48. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 32 (b) 76 (c) 92 (d) 48
  34. 34.What is the average of 50, 53, 40, 51 and 1? (a) 40 (b) 41 (c) 39 (d) 38
  35. 35.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 8 (b) 34 (c) 40 (d) 66
  36. 36.What is the average of 53, 51, 77 and 71? (a) 63 (b) 62 (c) 64 (d) 84
  37. 37.What is the average of all the whole numbers from 17 to 51? (a) 34 (b) 33 (c) 35 (d) 17
  38. 38.What is the average of 59, 64, 48, 51, 49 and 23? (a) 51 (b) 49 (c) 48 (d) 50
  39. 39.The average of 5 numbers is 47. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 40 (b) 47 (c) 39 (d) 96
  40. 40.What is the average of 64, 47, 41, 50 and 63? (a) 54 (b) 53 (c) 55 (d) 52

Answer key

  1. 51
  2. 59
  3. 33
  4. 100
  5. 47
  6. 53
  7. 75
  8. 67
  9. 62
  10. 67
  11. 40
  12. 47
  13. 61
  14. 45
  15. 26
  16. 3
  17. 53
  18. 100
  19. 79
  20. 61
  21. 35
  22. 87
  23. 64
  24. 65
  25. 43
  26. 53
  27. 37
  28. 35
  29. 40
  30. 32
  31. 88
  32. 20
  33. 76
  34. 39
  35. 40
  36. 63
  37. 34
  38. 49
  39. 39
  40. 53

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