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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 184 · 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 42. When one number is taken away, the average of the rest is 43. Which number was taken away? (a) 85 (b) 42 (c) 35 (d) 36
  2. 2.What is the average of 12, 23, 11, 36 and 33? (a) 24 (b) 25 (c) 23 (d) 22
  3. 3.A batter has an average of 47 runs in 3 matches. How many runs are needed in the next match to raise the average to 50? (a) 12 (b) 53 (c) 59 (d) 50
  4. 4.What is the average of 41, 22, 33 and 28? (a) 32 (b) 33 (c) 31 (d) 30
  5. 5.The average of 8 numbers is 16. When one number is taken away, the average of the rest is 17. Which number was taken away? (a) 16 (b) 10 (c) 33 (d) 9
  6. 6.What is the average of 45, 34, 45 and 16? (a) 34 (b) 37 (c) 35 (d) 36
  7. 7.A batter has an average of 23 runs in 6 matches. How many runs are needed in the next match to raise the average to 25? (a) 27 (b) 37 (c) 25 (d) 14
  8. 8.What is the average of 42, 42, 27 and 5? (a) 31 (b) 29 (c) 28 (d) 30
  9. 9.A batter has an average of 47 runs in 4 matches. How many runs are needed in the next match to raise the average to 52? (a) 25 (b) 52 (c) 72 (d) 57
  10. 10.What is the average of 35, 28, 43, 32 and 37? (a) 34 (b) 36 (c) 35 (d) 37
  11. 11.What is the average of 52, 47, 37, 46 and 58? (a) 47 (b) 48 (c) 60 (d) 49
  12. 12.What is the average of 69, 94, 68, 76 and 93? (a) 81 (b) 79 (c) 100 (d) 80
  13. 13.What is the average of 29, 25, 39, 40, 51 and 56? (a) 48 (b) 39 (c) 40 (d) 41
  14. 14.What is the average of all the whole numbers from 11 to 19? (a) 16 (b) 8 (c) 15 (d) 4
  15. 15.A batter has an average of 51 runs in 3 matches. How many runs are needed in the next match to raise the average to 56? (a) 71 (b) 56 (c) 20 (d) 61
  16. 16.The average of 4 numbers is 38. When one number is taken away, the average of the rest is 35. Which number was taken away? (a) 73 (b) 47 (c) 38 (d) 12
  17. 17.What is the average of all the whole numbers from 17 to 49? (a) 32 (b) 34 (c) 33 (d) 16
  18. 18.A batter has an average of 29 runs in 5 matches. How many runs are needed in the next match to raise the average to 33? (a) 24 (b) 33 (c) 53 (d) 37
  19. 19.What is the average of 45, 46, 26, 40, 32 and 9? (a) 34 (b) 35 (c) 32 (d) 33
  20. 20.The average of 4 numbers is 14. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 4 (b) 27 (c) 17 (d) 14
  21. 21.What is the average of 20, 33, 40, 21 and 41? (a) 30 (b) 31 (c) 32 (d) 33
  22. 22.What is the average of 35, 18, 47, 42, 37 and 13? (a) 33 (b) 31 (c) 32 (d) 34
  23. 23.What is the average of all the whole numbers from 24 to 34? (a) 29 (b) 10 (c) 30 (d) 5
  24. 24.The average of 8 numbers is 10. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 8 (b) 10 (c) 19 (d) 17
  25. 25.A batter has an average of 31 runs in 9 matches. How many runs are needed in the next match to raise the average to 39? (a) 111 (b) 80 (c) 47 (d) 39
  26. 26.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) 44 (b) 36 (c) 72 (d) 100
  27. 27.The average of 8 numbers is 39. When one number is taken away, the average of the rest is 34. Which number was taken away? (a) 39 (b) 73 (c) 40 (d) 74
  28. 28.What is the average of all the whole numbers from 17 to 47? (a) 15 (b) 32 (c) 33 (d) 30
  29. 29.The average of 5 numbers is 15. When one number is taken away, the average of the rest is 10. Which number was taken away? (a) 36 (b) 25 (c) 15 (d) 35
  30. 30.A batter has an average of 32 runs in 3 matches. How many runs are needed in the next match to raise the average to 40? (a) 64 (b) 48 (c) 40 (d) 32
  31. 31.What is the average of 47, 56, 51, 43 and 68? (a) 55 (b) 54 (c) 52 (d) 53
  32. 32.The average of 7 numbers is 46. When one number is taken away, the average of the rest is 49. Which number was taken away? (a) 29 (b) 28 (c) 46 (d) 95
  33. 33.What is the average of 39, 51, 41, 24, 28 and 39? (a) 38 (b) 39 (c) 36 (d) 37
  34. 34.What is the average of 28, 33, 27, 27, 36 and 95? (a) 42 (b) 41 (c) 43 (d) 40
  35. 35.What is the average of all the whole numbers from 52 to 88? (a) 71 (b) 70 (c) 18 (d) 36
  36. 36.What is the average of 45, 41, 60, 62, 43 and 43? (a) 50 (b) 49 (c) 51 (d) 48
  37. 37.The average of 6 numbers is 14. When one number is taken away, the average of the rest is 9. Which number was taken away? (a) 30 (b) 23 (c) 39 (d) 14
  38. 38.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) 36 (b) 41 (c) 20 (d) 51
  39. 39.A batter has an average of 57 runs in 5 matches. How many runs are needed in the next match to raise the average to 61? (a) 81 (b) 24 (c) 65 (d) 61
  40. 40.The average of 5 numbers is 19. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 23 (b) 5 (c) 37 (d) 19

Answer key

  1. 35
  2. 23
  3. 59
  4. 31
  5. 9
  6. 35
  7. 37
  8. 29
  9. 72
  10. 35
  11. 48
  12. 80
  13. 40
  14. 15
  15. 71
  16. 47
  17. 33
  18. 53
  19. 33
  20. 17
  21. 31
  22. 32
  23. 29
  24. 17
  25. 111
  26. 100
  27. 74
  28. 32
  29. 35
  30. 64
  31. 53
  32. 28
  33. 37
  34. 41
  35. 70
  36. 49
  37. 39
  38. 51
  39. 81
  40. 23

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