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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 348 · 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 86, 64, 72 and 74? (a) 74 (b) 73 (c) 75 (d) 76
  2. 2.A batter has an average of 36 runs in 7 matches. How many runs are needed in the next match to raise the average to 42? (a) 48 (b) 85 (c) 84 (d) 42
  3. 3.What is the average of 49, 43, 41 and 35? (a) 43 (b) 56 (c) 42 (d) 41
  4. 4.What is the average of 58, 33, 47 and 54? (a) 49 (b) 47 (c) 48 (d) 64
  5. 5.The average of 7 numbers is 30. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 61 (b) 30 (c) 25 (d) 24
  6. 6.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 21 (b) 40 (c) 37 (d) 56
  7. 7.What is the average of 29, 36, 51, 32, 58 and 52? (a) 42 (b) 43 (c) 44 (d) 45
  8. 8.A batter has an average of 39 runs in 3 matches. How many runs are needed in the next match to raise the average to 42? (a) 45 (b) 12 (c) 42 (d) 51
  9. 9.What is the average of all the whole numbers from 11 to 33? (a) 23 (b) 11 (c) 21 (d) 22
  10. 10.What is the average of 37, 12, 15 and 36? (a) 24 (b) 26 (c) 27 (d) 25
  11. 11.What is the average of all the whole numbers from 58 to 64? (a) 61 (b) 62 (c) 3 (d) 6
  12. 12.A batter has an average of 56 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 61 (b) 45 (c) 101 (d) 66
  13. 13.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) 27 (b) 46 (c) 45 (d) 24
  14. 14.What is the average of all the whole numbers from 7 to 23? (a) 16 (b) 14 (c) 8 (d) 15
  15. 15.The average of 6 numbers is 37. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 69 (b) 62 (c) 37 (d) 30
  16. 16.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 31. Which number was taken away? (a) 35 (b) 32 (c) 4 (d) 63
  17. 17.What is the average of 28, 33, 27, 41, 26 and 31? (a) 32 (b) 31 (c) 33 (d) 30
  18. 18.What is the average of 55, 61, 52 and 44? (a) 54 (b) 55 (c) 52 (d) 53
  19. 19.What is the average of all the whole numbers from 59 to 93? (a) 77 (b) 17 (c) 76 (d) 34
  20. 20.What is the average of 61, 79, 63 and 97? (a) 100 (b) 76 (c) 74 (d) 75
  21. 21.What is the average of all the whole numbers from 36 to 64? (a) 51 (b) 28 (c) 50 (d) 14
  22. 22.What is the average of all the whole numbers from 47 to 79? (a) 16 (b) 63 (c) 32 (d) 64
  23. 23.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 87 (b) 66 (c) 25 (d) 46
  24. 24.What is the average of all the whole numbers from 12 to 42? (a) 28 (b) 30 (c) 15 (d) 27
  25. 25.What is the average of 14, 11, 24 and 47? (a) 24 (b) 32 (c) 25 (d) 23
  26. 26.What is the average of 82, 75, 82, 60, 64 and 57? (a) 71 (b) 69 (c) 70 (d) 84
  27. 27.What is the average of 63, 69, 81, 86 and 61? (a) 72 (b) 71 (c) 73 (d) 90
  28. 28.What is the average of 35, 16, 25, 27, 33 and 8? (a) 25 (b) 26 (c) 24 (d) 23
  29. 29.What is the average of 64, 68, 57, 40 and 46? (a) 56 (b) 57 (c) 55 (d) 54
  30. 30.What is the average of 40, 28, 23 and 9? (a) 27 (b) 25 (c) 24 (d) 26
  31. 31.The average of 8 numbers is 18. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 12 (b) 37 (c) 11 (d) 18
  32. 32.The average of 7 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 40 (b) 21 (c) 39 (d) 38
  33. 33.What is the average of 73, 95, 77 and 75? (a) 81 (b) 80 (c) 82 (d) 79
  34. 34.What is the average of all the whole numbers from 17 to 31? (a) 25 (b) 14 (c) 24 (d) 7
  35. 35.What is the average of 48, 31, 54 and 43? (a) 46 (b) 44 (c) 43 (d) 45
  36. 36.A batter has an average of 39 runs in 5 matches. How many runs are needed in the next match to raise the average to 47? (a) 47 (b) 48 (c) 87 (d) 55
  37. 37.The average of 7 numbers is 25. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 37 (b) 25 (c) 14 (d) 48
  38. 38.What is the average of 71, 67, 75, 63, 78 and 114? (a) 80 (b) 78 (c) 79 (d) 77
  39. 39.The average of 7 numbers is 29. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 29 (b) 53 (c) 35 (d) 59
  40. 40.A batter has an average of 55 runs in 9 matches. How many runs are needed in the next match to raise the average to 59? (a) 63 (b) 59 (c) 95 (d) 40

Answer key

  1. 74
  2. 84
  3. 42
  4. 48
  5. 24
  6. 56
  7. 43
  8. 51
  9. 22
  10. 25
  11. 61
  12. 101
  13. 45
  14. 15
  15. 62
  16. 35
  17. 31
  18. 53
  19. 76
  20. 75
  21. 50
  22. 63
  23. 66
  24. 27
  25. 24
  26. 70
  27. 72
  28. 24
  29. 55
  30. 25
  31. 11
  32. 39
  33. 80
  34. 24
  35. 44
  36. 87
  37. 37
  38. 78
  39. 59
  40. 95

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