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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 520 · 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 10, 15, 37, 17 and 41? (a) 30 (b) 25 (c) 24 (d) 23
  2. 2.The average of 5 numbers is 44. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 44 (b) 89 (c) 41 (d) 40
  3. 3.What is the average of 39, 34, 40 and 71? (a) 48 (b) 47 (c) 46 (d) 45
  4. 4.A batter has an average of 59 runs in 3 matches. How many runs are needed in the next match to raise the average to 63? (a) 75 (b) 63 (c) 16 (d) 67
  5. 5.What is the average of 46, 36, 48, 27, 53 and 18? (a) 39 (b) 37 (c) 40 (d) 38
  6. 6.What is the average of all the whole numbers from 5 to 11? (a) 3 (b) 9 (c) 6 (d) 8
  7. 7.The average of 8 numbers is 44. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 30 (b) 90 (c) 31 (d) 44
  8. 8.What is the average of all the whole numbers from 16 to 24? (a) 20 (b) 21 (c) 8 (d) 4
  9. 9.What is the average of all the whole numbers from 58 to 76? (a) 68 (b) 18 (c) 9 (d) 67
  10. 10.What is the average of all the whole numbers from 19 to 25? (a) 6 (b) 22 (c) 23 (d) 3
  11. 11.What is the average of 52, 31, 55, 30 and 47? (a) 42 (b) 44 (c) 43 (d) 45
  12. 12.What is the average of 54, 69, 56 and 37? (a) 53 (b) 72 (c) 55 (d) 54
  13. 13.What is the average of 62, 78, 57, 82, 65 and 88? (a) 74 (b) 72 (c) 71 (d) 73
  14. 14.A batter has an average of 33 runs in 3 matches. How many runs are needed in the next match to raise the average to 37? (a) 41 (b) 37 (c) 16 (d) 49
  15. 15.What is the average of all the whole numbers from 60 to 76? (a) 69 (b) 68 (c) 8 (d) 16
  16. 16.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 55 (b) 43 (c) 83 (d) 15
  17. 17.A batter has an average of 40 runs in 7 matches. How many runs are needed in the next match to raise the average to 43? (a) 46 (b) 24 (c) 64 (d) 43
  18. 18.What is the average of 79, 83, 87 and 71? (a) 82 (b) 79 (c) 81 (d) 80
  19. 19.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 65? (a) 65 (b) 72 (c) 86 (d) 28
  20. 20.What is the average of 78, 62, 86 and 66? (a) 74 (b) 75 (c) 73 (d) 72
  21. 21.What is the average of all the whole numbers from 55 to 71? (a) 63 (b) 8 (c) 64 (d) 16
  22. 22.A batter has an average of 35 runs in 4 matches. How many runs are needed in the next match to raise the average to 41? (a) 47 (b) 41 (c) 30 (d) 65
  23. 23.A batter has an average of 48 runs in 8 matches. How many runs are needed in the next match to raise the average to 54? (a) 60 (b) 102 (c) 54 (d) 103
  24. 24.The average of 4 numbers is 32. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 30 (b) 32 (c) 65 (d) 29
  25. 25.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 20 (b) 29 (c) 37 (d) 12
  26. 26.The average of 6 numbers is 11. When one number is taken away, the average of the rest is 8. Which number was taken away? (a) 11 (b) 18 (c) 26 (d) 19
  27. 27.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 58? (a) 14 (b) 58 (c) 70 (d) 60
  28. 28.What is the average of 46, 33, 41 and 4? (a) 33 (b) 32 (c) 31 (d) 30
  29. 29.A batter has an average of 49 runs in 9 matches. How many runs are needed in the next match to raise the average to 51? (a) 69 (b) 20 (c) 51 (d) 53
  30. 30.A batter has an average of 24 runs in 9 matches. How many runs are needed in the next match to raise the average to 27? (a) 55 (b) 54 (c) 27 (d) 30
  31. 31.What is the average of all the whole numbers from 25 to 47? (a) 11 (b) 22 (c) 37 (d) 36
  32. 32.A batter has an average of 29 runs in 7 matches. How many runs are needed in the next match to raise the average to 33? (a) 61 (b) 33 (c) 37 (d) 32
  33. 33.A batter has an average of 27 runs in 9 matches. How many runs are needed in the next match to raise the average to 29? (a) 47 (b) 20 (c) 31 (d) 29
  34. 34.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 28 (b) 70 (c) 29 (d) 34
  35. 35.A batter has an average of 37 runs in 7 matches. How many runs are needed in the next match to raise the average to 39? (a) 41 (b) 16 (c) 53 (d) 39
  36. 36.What is the average of all the whole numbers from 59 to 99? (a) 20 (b) 40 (c) 80 (d) 79
  37. 37.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 36 (c) 64 (d) 42
  38. 38.What is the average of 64, 66, 65 and 109? (a) 75 (b) 76 (c) 78 (d) 77
  39. 39.What is the average of 35, 41, 30 and 34? (a) 35 (b) 34 (c) 37 (d) 36
  40. 40.What is the average of all the whole numbers from 47 to 73? (a) 60 (b) 61 (c) 26 (d) 13

Answer key

  1. 24
  2. 40
  3. 46
  4. 75
  5. 38
  6. 8
  7. 30
  8. 20
  9. 67
  10. 22
  11. 43
  12. 54
  13. 72
  14. 49
  15. 68
  16. 55
  17. 64
  18. 80
  19. 86
  20. 73
  21. 63
  22. 65
  23. 102
  24. 29
  25. 29
  26. 26
  27. 70
  28. 31
  29. 69
  30. 54
  31. 36
  32. 61
  33. 47
  34. 28
  35. 53
  36. 79
  37. 64
  38. 76
  39. 35
  40. 60

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