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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 73 · 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 52, 59, 37, 38 and 34? (a) 44 (b) 55 (c) 43 (d) 45
  2. 2.What is the average of all the whole numbers from 59 to 95? (a) 78 (b) 36 (c) 77 (d) 18
  3. 3.A batter has an average of 23 runs in 3 matches. How many runs are needed in the next match to raise the average to 31? (a) 32 (b) 39 (c) 55 (d) 31
  4. 4.A batter has an average of 49 runs in 3 matches. How many runs are needed in the next match to raise the average to 51? (a) 57 (b) 8 (c) 51 (d) 53
  5. 5.What is the average of all the whole numbers from 24 to 38? (a) 7 (b) 31 (c) 14 (d) 32
  6. 6.The average of 6 numbers is 40. When one number is taken away, the average of the rest is 42. Which number was taken away? (a) 82 (b) 31 (c) 40 (d) 30
  7. 7.What is the average of all the whole numbers from 30 to 58? (a) 45 (b) 14 (c) 44 (d) 28
  8. 8.The average of 6 numbers is 13. When one number is taken away, the average of the rest is 14. Which number was taken away? (a) 8 (b) 27 (c) 9 (d) 13
  9. 9.What is the average of all the whole numbers from 37 to 49? (a) 6 (b) 43 (c) 12 (d) 44
  10. 10.A batter has an average of 59 runs in 8 matches. How many runs are needed in the next match to raise the average to 61? (a) 63 (b) 77 (c) 18 (d) 61
  11. 11.What is the average of all the whole numbers from 5 to 45? (a) 25 (b) 26 (c) 40 (d) 20
  12. 12.What is the average of all the whole numbers from 14 to 36? (a) 25 (b) 11 (c) 26 (d) 22
  13. 13.What is the average of all the whole numbers from 18 to 46? (a) 32 (b) 14 (c) 28 (d) 33
  14. 14.What is the average of 49, 51, 45, 69 and 76? (a) 57 (b) 60 (c) 58 (d) 59
  15. 15.The average of 5 numbers is 28. When one number is taken away, the average of the rest is 30. Which number was taken away? (a) 21 (b) 58 (c) 20 (d) 28
  16. 16.What is the average of all the whole numbers from 18 to 48? (a) 34 (b) 30 (c) 33 (d) 15
  17. 17.What is the average of all the whole numbers from 24 to 50? (a) 37 (b) 13 (c) 38 (d) 26
  18. 18.What is the average of all the whole numbers from 51 to 69? (a) 61 (b) 60 (c) 18 (d) 9
  19. 19.The average of 5 numbers is 40. When one number is taken away, the average of the rest is 36. Which number was taken away? (a) 40 (b) 20 (c) 76 (d) 56
  20. 20.What is the average of 35, 44, 38, 51, 36 and 78? (a) 46 (b) 48 (c) 49 (d) 47
  21. 21.What is the average of 44, 57, 37, 39, 27 and 48? (a) 41 (b) 42 (c) 44 (d) 43
  22. 22.What is the average of 75, 67, 64, 75 and 89? (a) 75 (b) 76 (c) 73 (d) 74
  23. 23.A batter has an average of 20 runs in 8 matches. How many runs are needed in the next match to raise the average to 26? (a) 26 (b) 54 (c) 74 (d) 32
  24. 24.The average of 5 numbers is 45. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 37 (b) 38 (c) 45 (d) 92
  25. 25.What is the average of 66, 74, 73, 81, 74 and 28? (a) 65 (b) 66 (c) 67 (d) 68
  26. 26.A batter has an average of 22 runs in 7 matches. How many runs are needed in the next match to raise the average to 29? (a) 56 (b) 36 (c) 29 (d) 78
  27. 27.What is the average of 41, 43, 60 and 36? (a) 44 (b) 60 (c) 46 (d) 45
  28. 28.A batter has an average of 60 runs in 6 matches. How many runs are needed in the next match to raise the average to 65? (a) 70 (b) 65 (c) 35 (d) 95
  29. 29.The average of 7 numbers is 26. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 20 (b) 53 (c) 21 (d) 26
  30. 30.The average of 4 numbers is 41. When one number is taken away, the average of the rest is 38. Which number was taken away? (a) 50 (b) 12 (c) 79 (d) 41
  31. 31.What is the average of 37, 19, 27 and 33? (a) 29 (b) 31 (c) 28 (d) 30
  32. 32.A batter has an average of 40 runs in 6 matches. How many runs are needed in the next match to raise the average to 44? (a) 48 (b) 68 (c) 44 (d) 28
  33. 33.What is the average of all the whole numbers from 48 to 60? (a) 55 (b) 6 (c) 54 (d) 12
  34. 34.What is the average of all the whole numbers from 40 to 76? (a) 36 (b) 18 (c) 59 (d) 58
  35. 35.The average of 6 numbers is 50. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 30 (b) 50 (c) 95 (d) 75
  36. 36.The average of 8 numbers is 32. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 32 (b) 40 (c) 59 (d) 67
  37. 37.The average of 8 numbers is 21. When one number is taken away, the average of the rest is 18. Which number was taken away? (a) 42 (b) 39 (c) 24 (d) 21
  38. 38.The average of 8 numbers is 47. When one number is taken away, the average of the rest is 51. Which number was taken away? (a) 19 (b) 98 (c) 47 (d) 20
  39. 39.A batter has an average of 20 runs in 9 matches. How many runs are needed in the next match to raise the average to 22? (a) 40 (b) 24 (c) 22 (d) 20
  40. 40.What is the average of 31, 10, 23, 12 and 24? (a) 25 (b) 21 (c) 20 (d) 19

Answer key

  1. 44
  2. 77
  3. 55
  4. 57
  5. 31
  6. 30
  7. 44
  8. 8
  9. 43
  10. 77
  11. 25
  12. 25
  13. 32
  14. 58
  15. 20
  16. 33
  17. 37
  18. 60
  19. 56
  20. 47
  21. 42
  22. 74
  23. 74
  24. 37
  25. 66
  26. 78
  27. 45
  28. 95
  29. 20
  30. 50
  31. 29
  32. 68
  33. 54
  34. 58
  35. 75
  36. 67
  37. 42
  38. 19
  39. 40
  40. 20

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