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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 561 · 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 8 numbers is 18. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 33 (b) 39 (c) 18 (d) 24
  2. 2.What is the average of all the whole numbers from 17 to 45? (a) 28 (b) 32 (c) 31 (d) 14
  3. 3.What is the average of all the whole numbers from 19 to 57? (a) 19 (b) 39 (c) 38 (d) 37
  4. 4.What is the average of all the whole numbers from 47 to 75? (a) 62 (b) 28 (c) 14 (d) 61
  5. 5.What is the average of 69, 48, 59, 72, 52 and 54? (a) 59 (b) 60 (c) 58 (d) 61
  6. 6.A batter has an average of 21 runs in 6 matches. How many runs are needed in the next match to raise the average to 26? (a) 35 (b) 26 (c) 31 (d) 56
  7. 7.A batter has an average of 37 runs in 6 matches. How many runs are needed in the next match to raise the average to 39? (a) 39 (b) 51 (c) 41 (d) 14
  8. 8.The average of 7 numbers is 34. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 34 (b) 73 (c) 5 (d) 4
  9. 9.What is the average of all the whole numbers from 30 to 68? (a) 38 (b) 19 (c) 50 (d) 49
  10. 10.What is the average of all the whole numbers from 18 to 30? (a) 25 (b) 12 (c) 24 (d) 6
  11. 11.A batter has an average of 28 runs in 4 matches. How many runs are needed in the next match to raise the average to 34? (a) 30 (b) 40 (c) 58 (d) 34
  12. 12.What is the average of 52, 72, 77 and 51? (a) 62 (b) 64 (c) 84 (d) 63
  13. 13.What is the average of 18, 29, 26 and 15? (a) 24 (b) 21 (c) 22 (d) 23
  14. 14.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 5 (b) 28 (c) 32 (d) 55
  15. 15.What is the average of all the whole numbers from 52 to 92? (a) 73 (b) 72 (c) 20 (d) 40
  16. 16.A batter has an average of 32 runs in 4 matches. How many runs are needed in the next match to raise the average to 40? (a) 73 (b) 48 (c) 72 (d) 40
  17. 17.What is the average of 28, 47, 51, 47 and 27? (a) 41 (b) 40 (c) 50 (d) 39
  18. 18.What is the average of 50, 31, 58, 34, 51 and 52? (a) 45 (b) 47 (c) 48 (d) 46
  19. 19.What is the average of 22, 42, 31 and 13? (a) 26 (b) 27 (c) 28 (d) 36
  20. 20.What is the average of 20, 35, 27 and 10? (a) 23 (b) 25 (c) 24 (d) 22
  21. 21.What is the average of 68, 49, 73, 73, 49 and 48? (a) 60 (b) 72 (c) 61 (d) 59
  22. 22.What is the average of 57, 56, 53, 59 and 110? (a) 69 (b) 67 (c) 66 (d) 68
  23. 23.What is the average of all the whole numbers from 25 to 39? (a) 33 (b) 32 (c) 14 (d) 7
  24. 24.What is the average of 44, 59, 44 and 57? (a) 50 (b) 51 (c) 68 (d) 52
  25. 25.What is the average of all the whole numbers from 40 to 62? (a) 51 (b) 22 (c) 11 (d) 52
  26. 26.The average of 5 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) 30 (d) 20
  27. 27.What is the average of 27, 45, 30 and 26? (a) 34 (b) 32 (c) 31 (d) 33
  28. 28.What is the average of all the whole numbers from 42 to 50? (a) 46 (b) 4 (c) 8 (d) 47
  29. 29.What is the average of 40, 23, 38, 31, 33 and 15? (a) 31 (b) 30 (c) 36 (d) 29
  30. 30.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 39. Which number was taken away? (a) 80 (b) 14 (c) 41 (d) 53
  31. 31.A batter has an average of 29 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 36 (b) 78 (c) 49 (d) 43
  32. 32.The average of 5 numbers is 43. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 87 (b) 40 (c) 43 (d) 39
  33. 33.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 44 (b) 43 (c) 97 (d) 48
  34. 34.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) 16 (c) 37 (d) 49
  35. 35.A batter has an average of 40 runs in 3 matches. How many runs are needed in the next match to raise the average to 45? (a) 45 (b) 50 (c) 60 (d) 20
  36. 36.What is the average of all the whole numbers from 39 to 57? (a) 18 (b) 49 (c) 9 (d) 48
  37. 37.What is the average of 9, 24, 16 and 39? (a) 24 (b) 21 (c) 22 (d) 23
  38. 38.What is the average of all the whole numbers from 47 to 79? (a) 64 (b) 32 (c) 63 (d) 16
  39. 39.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 19. Which number was taken away? (a) 27 (b) 8 (c) 20 (d) 39
  40. 40.What is the average of 64, 88, 77 and 67? (a) 76 (b) 74 (c) 73 (d) 75

Answer key

  1. 39
  2. 31
  3. 38
  4. 61
  5. 59
  6. 56
  7. 51
  8. 4
  9. 49
  10. 24
  11. 58
  12. 63
  13. 22
  14. 32
  15. 72
  16. 72
  17. 40
  18. 46
  19. 27
  20. 23
  21. 60
  22. 67
  23. 32
  24. 51
  25. 51
  26. 30
  27. 32
  28. 46
  29. 30
  30. 53
  31. 78
  32. 39
  33. 43
  34. 49
  35. 60
  36. 48
  37. 22
  38. 63
  39. 27
  40. 74

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