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Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 912 · 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 4 numbers is 43. When one number is taken away, the average of the rest is 47. Which number was taken away? (a) 90 (b) 31 (c) 43 (d) 32
  2. 2.What is the average of all the whole numbers from 48 to 76? (a) 28 (b) 62 (c) 14 (d) 63
  3. 3.A batter has an average of 45 runs in 8 matches. How many runs are needed in the next match to raise the average to 50? (a) 90 (b) 55 (c) 50 (d) 45
  4. 4.What is the average of 36, 41, 45, 37, 62 and 79? (a) 49 (b) 50 (c) 51 (d) 60
  5. 5.The average of 5 numbers is 21. When one number is taken away, the average of the rest is 25. Which number was taken away? (a) 6 (b) 5 (c) 46 (d) 21
  6. 6.What is the average of 21, 19, 26, 19, 8 and 45? (a) 23 (b) 25 (c) 22 (d) 24
  7. 7.What is the average of 93, 84, 82, 69, 71 and 69? (a) 80 (b) 78 (c) 79 (d) 77
  8. 8.What is the average of 48, 42, 31 and 15? (a) 36 (b) 35 (c) 34 (d) 33
  9. 9.What is the average of 67, 80, 75, 59, 62 and 101? (a) 76 (b) 73 (c) 74 (d) 75
  10. 10.A batter has an average of 20 runs in 3 matches. How many runs are needed in the next match to raise the average to 27? (a) 48 (b) 27 (c) 28 (d) 34
  11. 11.What is the average of 54, 53, 40, 66, 42 and 51? (a) 52 (b) 51 (c) 50 (d) 53
  12. 12.The average of 8 numbers is 20. When one number is taken away, the average of the rest is 22. Which number was taken away? (a) 20 (b) 7 (c) 42 (d) 6
  13. 13.A batter has an average of 35 runs in 5 matches. How many runs are needed in the next match to raise the average to 38? (a) 38 (b) 18 (c) 41 (d) 53
  14. 14.What is the average of all the whole numbers from 15 to 41? (a) 29 (b) 13 (c) 28 (d) 26
  15. 15.What is the average of 6, 13, 27 and 34? (a) 20 (b) 19 (c) 22 (d) 21
  16. 16.What is the average of all the whole numbers from 52 to 86? (a) 17 (b) 70 (c) 69 (d) 34
  17. 17.What is the average of all the whole numbers from 33 to 59? (a) 13 (b) 46 (c) 26 (d) 47
  18. 18.What is the average of 56, 54, 78, 57, 51 and 94? (a) 64 (b) 78 (c) 66 (d) 65
  19. 19.The average of 8 numbers is 33. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 33 (b) 65 (c) 40 (d) 8
  20. 20.What is the average of 70, 53, 48 and 69? (a) 59 (b) 60 (c) 61 (d) 80
  21. 21.What is the average of 58, 59, 44, 45, 38 and 68? (a) 51 (b) 53 (c) 52 (d) 54
  22. 22.The average of 4 numbers is 34. When one number is taken away, the average of the rest is 32. Which number was taken away? (a) 66 (b) 34 (c) 8 (d) 40
  23. 23.What is the average of all the whole numbers from 19 to 45? (a) 13 (b) 32 (c) 33 (d) 26
  24. 24.What is the average of 58, 33, 52, 42, 40 and 39? (a) 44 (b) 46 (c) 43 (d) 45
  25. 25.What is the average of all the whole numbers from 39 to 69? (a) 15 (b) 54 (c) 55 (d) 30
  26. 26.What is the average of 16, 34, 31 and 31? (a) 29 (b) 28 (c) 30 (d) 27
  27. 27.A batter has an average of 44 runs in 3 matches. How many runs are needed in the next match to raise the average to 47? (a) 56 (b) 50 (c) 12 (d) 47
  28. 28.A batter has an average of 24 runs in 5 matches. How many runs are needed in the next match to raise the average to 29? (a) 29 (b) 30 (c) 54 (d) 34
  29. 29.What is the average of 71, 79, 88, 79 and 73? (a) 78 (b) 79 (c) 77 (d) 80
  30. 30.What is the average of all the whole numbers from 21 to 61? (a) 41 (b) 20 (c) 42 (d) 40
  31. 31.What is the average of 32, 45, 16, 27 and 30? (a) 31 (b) 32 (c) 29 (d) 30
  32. 32.What is the average of 61, 88, 76, 64, 88 and 73? (a) 74 (b) 90 (c) 75 (d) 76
  33. 33.What is the average of 92, 78, 67, 81, 66 and 90? (a) 78 (b) 81 (c) 80 (d) 79
  34. 34.The average of 4 numbers is 16. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 16 (b) 31 (c) 4 (d) 19
  35. 35.The average of 8 numbers is 22. When one number is taken away, the average of the rest is 24. Which number was taken away? (a) 46 (b) 9 (c) 22 (d) 8
  36. 36.What is the average of all the whole numbers from 52 to 72? (a) 63 (b) 62 (c) 20 (d) 10
  37. 37.What is the average of 78, 66, 93 and 75? (a) 104 (b) 77 (c) 79 (d) 78
  38. 38.A batter has an average of 56 runs in 6 matches. How many runs are needed in the next match to raise the average to 61? (a) 35 (b) 66 (c) 61 (d) 91
  39. 39.A batter has an average of 24 runs in 4 matches. How many runs are needed in the next match to raise the average to 32? (a) 64 (b) 32 (c) 40 (d) 65
  40. 40.The average of 7 numbers is 41. When one number is taken away, the average of the rest is 44. Which number was taken away? (a) 24 (b) 23 (c) 41 (d) 85

Answer key

  1. 31
  2. 62
  3. 90
  4. 50
  5. 5
  6. 23
  7. 78
  8. 34
  9. 74
  10. 48
  11. 51
  12. 6
  13. 53
  14. 28
  15. 20
  16. 69
  17. 46
  18. 65
  19. 40
  20. 60
  21. 52
  22. 40
  23. 32
  24. 44
  25. 54
  26. 28
  27. 56
  28. 54
  29. 78
  30. 41
  31. 30
  32. 75
  33. 79
  34. 19
  35. 8
  36. 62
  37. 78
  38. 91
  39. 64
  40. 23

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