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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 494 · 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 59 to 93? (a) 77 (b) 76 (c) 17 (d) 34
  2. 2.A batter has an average of 38 runs in 9 matches. How many runs are needed in the next match to raise the average to 41? (a) 44 (b) 41 (c) 30 (d) 68
  3. 3.What is the average of all the whole numbers from 47 to 71? (a) 12 (b) 60 (c) 24 (d) 59
  4. 4.The average of 4 numbers is 20. When one number is taken away, the average of the rest is 23. Which number was taken away? (a) 11 (b) 43 (c) 20 (d) 12
  5. 5.The average of 8 numbers is 36. When one number is taken away, the average of the rest is 41. Which number was taken away? (a) 1 (b) 2 (c) 77 (d) 36
  6. 6.What is the average of 17, 40, 16, 35 and 22? (a) 28 (b) 26 (c) 25 (d) 27
  7. 7.What is the average of 52, 59, 59 and 10? (a) 44 (b) 60 (c) 46 (d) 45
  8. 8.A batter has an average of 25 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 12 (b) 28 (c) 31 (d) 37
  9. 9.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 43? (a) 40 (b) 75 (c) 43 (d) 51
  10. 10.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 26. Which number was taken away? (a) 22 (b) 7 (c) 48 (d) 6
  11. 11.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 75 (b) 39 (c) 24 (d) 60
  12. 12.A batter has an average of 22 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 32 (b) 27 (c) 57 (d) 35
  13. 13.The average of 4 numbers is 23. When one number is taken away, the average of the rest is 21. Which number was taken away? (a) 8 (b) 23 (c) 44 (d) 29
  14. 14.The average of 8 numbers is 50. When one number is taken away, the average of the rest is 55. Which number was taken away? (a) 50 (b) 16 (c) 105 (d) 15
  15. 15.What is the average of all the whole numbers from 50 to 70? (a) 60 (b) 20 (c) 61 (d) 10
  16. 16.A batter has an average of 57 runs in 4 matches. How many runs are needed in the next match to raise the average to 59? (a) 10 (b) 67 (c) 61 (d) 59
  17. 17.The average of 5 numbers is 50. When one number is taken away, the average of the rest is 52. Which number was taken away? (a) 43 (b) 50 (c) 42 (d) 102
  18. 18.What is the average of 71, 44, 42 and 71? (a) 58 (b) 57 (c) 76 (d) 56
  19. 19.What is the average of all the whole numbers from 21 to 55? (a) 34 (b) 38 (c) 39 (d) 17
  20. 20.The average of 6 numbers is 27. When one number is taken away, the average of the rest is 28. Which number was taken away? (a) 55 (b) 27 (c) 22 (d) 23
  21. 21.The average of 4 numbers is 25. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 49 (b) 25 (c) 4 (d) 28
  22. 22.A batter has an average of 23 runs in 5 matches. How many runs are needed in the next match to raise the average to 26? (a) 18 (b) 41 (c) 29 (d) 26
  23. 23.The average of 5 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 14 (b) 5 (c) 19 (d) 10
  24. 24.What is the average of 44, 61, 38 and 57? (a) 50 (b) 49 (c) 51 (d) 52
  25. 25.The average of 5 numbers is 23. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 43 (b) 25 (c) 41 (d) 23
  26. 26.A batter has an average of 25 runs in 7 matches. How many runs are needed in the next match to raise the average to 31? (a) 37 (b) 48 (c) 73 (d) 31
  27. 27.What is the average of all the whole numbers from 13 to 23? (a) 10 (b) 18 (c) 19 (d) 5
  28. 28.What is the average of 75, 82, 69 and 82? (a) 79 (b) 78 (c) 76 (d) 77
  29. 29.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 40 (b) 85 (c) 16 (d) 15
  30. 30.A batter has an average of 31 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 41 (b) 36 (c) 20 (d) 51
  31. 31.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 38 (b) 78 (c) 32 (d) 33
  32. 32.A batter has an average of 30 runs in 3 matches. How many runs are needed in the next match to raise the average to 36? (a) 24 (b) 54 (c) 36 (d) 42
  33. 33.What is the average of all the whole numbers from 23 to 61? (a) 43 (b) 38 (c) 19 (d) 42
  34. 34.What is the average of 24, 31, 15 and 18? (a) 21 (b) 24 (c) 22 (d) 23
  35. 35.What is the average of 52, 58, 51 and 91? (a) 62 (b) 84 (c) 63 (d) 64
  36. 36.What is the average of all the whole numbers from 48 to 76? (a) 28 (b) 62 (c) 14 (d) 63
  37. 37.The average of 8 numbers is 11. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 11 (b) 18 (c) 32 (d) 39
  38. 38.What is the average of 52, 35, 28, 39, 32 and 72? (a) 45 (b) 43 (c) 42 (d) 44
  39. 39.What is the average of 42, 35, 37, 47 and 39? (a) 39 (b) 40 (c) 50 (d) 41
  40. 40.What is the average of 34, 62, 47, 55 and 47? (a) 49 (b) 48 (c) 51 (d) 50

Answer key

  1. 76
  2. 68
  3. 59
  4. 11
  5. 1
  6. 26
  7. 45
  8. 37
  9. 75
  10. 6
  11. 60
  12. 57
  13. 29
  14. 15
  15. 60
  16. 67
  17. 42
  18. 57
  19. 38
  20. 22
  21. 28
  22. 41
  23. 14
  24. 50
  25. 43
  26. 73
  27. 18
  28. 77
  29. 15
  30. 51
  31. 32
  32. 54
  33. 42
  34. 22
  35. 63
  36. 62
  37. 39
  38. 43
  39. 40
  40. 49

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