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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 338 · 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 83, 76, 68 and 61? (a) 96 (b) 71 (c) 73 (d) 72
  2. 2.A batter has an average of 28 runs in 6 matches. How many runs are needed in the next match to raise the average to 36? (a) 56 (b) 84 (c) 44 (d) 36
  3. 3.The average of 5 numbers is 22. When one number is taken away, the average of the rest is 20. Which number was taken away? (a) 22 (b) 42 (c) 30 (d) 10
  4. 4.What is the average of 31, 48, 32, 29, 39 and 73? (a) 43 (b) 42 (c) 41 (d) 44
  5. 5.What is the average of 55, 69, 64, 47 and 75? (a) 64 (b) 63 (c) 61 (d) 62
  6. 6.The average of 5 numbers is 48. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 99 (b) 36 (c) 48 (d) 37
  7. 7.What is the average of 62, 64, 57, 84 and 83? (a) 70 (b) 72 (c) 69 (d) 71
  8. 8.A batter has an average of 44 runs in 9 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 40 (c) 52 (d) 84
  9. 9.What is the average of 35, 28, 28 and 53? (a) 48 (b) 36 (c) 37 (d) 35
  10. 10.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 33. Which number was taken away? (a) 64 (b) 31 (c) 25 (d) 26
  11. 11.What is the average of all the whole numbers from 41 to 75? (a) 58 (b) 59 (c) 34 (d) 17
  12. 12.What is the average of all the whole numbers from 27 to 63? (a) 46 (b) 45 (c) 36 (d) 18
  13. 13.What is the average of all the whole numbers from 5 to 15? (a) 5 (b) 9 (c) 11 (d) 10
  14. 14.What is the average of 36, 47, 53, 49, 48 and 7? (a) 39 (b) 41 (c) 40 (d) 48
  15. 15.A batter has an average of 20 runs in 6 matches. How many runs are needed in the next match to raise the average to 28? (a) 28 (b) 76 (c) 36 (d) 56
  16. 16.The average of 7 numbers is 43. When one number is taken away, the average of the rest is 40. Which number was taken away? (a) 43 (b) 21 (c) 61 (d) 83
  17. 17.What is the average of 44, 20, 38, 27, 30 and 33? (a) 33 (b) 32 (c) 31 (d) 34
  18. 18.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 87 (b) 41 (c) 27 (d) 26
  19. 19.What is the average of 22, 14, 32 and 12? (a) 19 (b) 22 (c) 20 (d) 21
  20. 20.What is the average of 41, 41, 19, 28 and 1? (a) 26 (b) 28 (c) 25 (d) 27
  21. 21.A batter has an average of 24 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 40 (c) 64 (d) 34
  22. 22.What is the average of 67, 48, 68, 50, 66 and 55? (a) 61 (b) 58 (c) 59 (d) 60
  23. 23.What is the average of 33, 12, 15 and 36? (a) 23 (b) 25 (c) 32 (d) 24
  24. 24.What is the average of 70, 55, 81 and 62? (a) 69 (b) 67 (c) 68 (d) 66
  25. 25.What is the average of 36, 41, 15, 16, 40 and 8? (a) 26 (b) 25 (c) 28 (d) 27
  26. 26.What is the average of 45, 55, 69, 69 and 57? (a) 60 (b) 58 (c) 61 (d) 59
  27. 27.What is the average of all the whole numbers from 11 to 19? (a) 8 (b) 15 (c) 16 (d) 4
  28. 28.What is the average of 24, 27, 30 and 39? (a) 29 (b) 40 (c) 30 (d) 31
  29. 29.What is the average of all the whole numbers from 12 to 42? (a) 30 (b) 27 (c) 28 (d) 15
  30. 30.What is the average of 19, 24, 23, 29, 23 and 2? (a) 24 (b) 21 (c) 20 (d) 19
  31. 31.A batter has an average of 24 runs in 3 matches. How many runs are needed in the next match to raise the average to 28? (a) 32 (b) 40 (c) 28 (d) 16
  32. 32.The average of 4 numbers is 31. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 61 (b) 31 (c) 34 (d) 4
  33. 33.A batter has an average of 44 runs in 7 matches. How many runs are needed in the next match to raise the average to 48? (a) 48 (b) 52 (c) 32 (d) 76
  34. 34.What is the average of 55, 47, 60 and 38? (a) 51 (b) 49 (c) 52 (d) 50
  35. 35.The average of 8 numbers is 12. When one number is taken away, the average of the rest is 7. Which number was taken away? (a) 19 (b) 12 (c) 40 (d) 47
  36. 36.A batter has an average of 29 runs in 4 matches. How many runs are needed in the next match to raise the average to 37? (a) 69 (b) 40 (c) 37 (d) 45
  37. 37.A batter has an average of 54 runs in 3 matches. How many runs are needed in the next match to raise the average to 57? (a) 66 (b) 57 (c) 12 (d) 60
  38. 38.The average of 7 numbers is 17. When one number is taken away, the average of the rest is 16. Which number was taken away? (a) 23 (b) 33 (c) 7 (d) 17
  39. 39.What is the average of all the whole numbers from 44 to 54? (a) 49 (b) 5 (c) 50 (d) 10
  40. 40.What is the average of all the whole numbers from 18 to 50? (a) 32 (b) 35 (c) 16 (d) 34

Answer key

  1. 72
  2. 84
  3. 30
  4. 42
  5. 62
  6. 36
  7. 70
  8. 84
  9. 36
  10. 25
  11. 58
  12. 45
  13. 10
  14. 40
  15. 76
  16. 61
  17. 32
  18. 26
  19. 20
  20. 26
  21. 64
  22. 59
  23. 24
  24. 67
  25. 26
  26. 59
  27. 15
  28. 30
  29. 27
  30. 20
  31. 40
  32. 34
  33. 76
  34. 50
  35. 47
  36. 69
  37. 66
  38. 23
  39. 49
  40. 34

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