← Averages lesson New set →

Averages Worksheet for Maths Olympiad

Maths Olympiad topic 17: Averages · Set 830 · 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 25, 36, 27, 19, 23 and 62? (a) 34 (b) 31 (c) 32 (d) 33
  2. 2.What is the average of all the whole numbers from 60 to 74? (a) 7 (b) 14 (c) 68 (d) 67
  3. 3.What is the average of 76, 58, 60 and 82? (a) 69 (b) 70 (c) 92 (d) 68
  4. 4.What is the average of 23, 25, 31 and 1? (a) 19 (b) 21 (c) 22 (d) 20
  5. 5.A batter has an average of 28 runs in 9 matches. How many runs are needed in the next match to raise the average to 36? (a) 108 (b) 80 (c) 44 (d) 36
  6. 6.A batter has an average of 22 runs in 5 matches. How many runs are needed in the next match to raise the average to 25? (a) 28 (b) 40 (c) 25 (d) 18
  7. 7.A batter has an average of 58 runs in 9 matches. How many runs are needed in the next match to raise the average to 63? (a) 68 (b) 108 (c) 50 (d) 63
  8. 8.What is the average of all the whole numbers from 21 to 57? (a) 18 (b) 40 (c) 36 (d) 39
  9. 9.The average of 7 numbers is 45. When one number is taken away, the average of the rest is 46. Which number was taken away? (a) 91 (b) 45 (c) 39 (d) 40
  10. 10.What is the average of all the whole numbers from 31 to 53? (a) 11 (b) 43 (c) 42 (d) 22
  11. 11.What is the average of all the whole numbers from 11 to 47? (a) 18 (b) 30 (c) 29 (d) 36
  12. 12.A batter has an average of 24 runs in 6 matches. How many runs are needed in the next match to raise the average to 30? (a) 30 (b) 42 (c) 36 (d) 66
  13. 13.A batter has an average of 29 runs in 9 matches. How many runs are needed in the next match to raise the average to 32? (a) 30 (b) 35 (c) 32 (d) 59
  14. 14.A batter has an average of 55 runs in 8 matches. How many runs are needed in the next match to raise the average to 57? (a) 18 (b) 57 (c) 59 (d) 73
  15. 15.What is the average of 26, 24, 22, 29, 27 and 88? (a) 38 (b) 37 (c) 35 (d) 36
  16. 16.What is the average of all the whole numbers from 20 to 34? (a) 28 (b) 7 (c) 14 (d) 27
  17. 17.The average of 8 numbers is 17. When one number is taken away, the average of the rest is 15. Which number was taken away? (a) 32 (b) 16 (c) 17 (d) 31
  18. 18.A batter has an average of 58 runs in 3 matches. How many runs are needed in the next match to raise the average to 62? (a) 16 (b) 74 (c) 62 (d) 66
  19. 19.The average of 5 numbers is 14. When one number is taken away, the average of the rest is 11. Which number was taken away? (a) 26 (b) 15 (c) 25 (d) 14
  20. 20.A batter has an average of 23 runs in 4 matches. How many runs are needed in the next match to raise the average to 25? (a) 27 (b) 10 (c) 25 (d) 33
  21. 21.A batter has an average of 60 runs in 3 matches. How many runs are needed in the next match to raise the average to 64? (a) 68 (b) 16 (c) 76 (d) 64
  22. 22.A batter has an average of 25 runs in 6 matches. How many runs are needed in the next match to raise the average to 27? (a) 39 (b) 27 (c) 14 (d) 29
  23. 23.The average of 8 numbers is 29. When one number is taken away, the average of the rest is 27. Which number was taken away? (a) 56 (b) 29 (c) 16 (d) 43
  24. 24.The average of 5 numbers is 46. When one number is taken away, the average of the rest is 48. Which number was taken away? (a) 39 (b) 38 (c) 46 (d) 94
  25. 25.What is the average of 80, 64, 66 and 98? (a) 76 (b) 77 (c) 79 (d) 78
  26. 26.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 62? (a) 30 (b) 62 (c) 87 (d) 67
  27. 27.What is the average of 54, 51, 39, 49 and 22? (a) 42 (b) 45 (c) 43 (d) 44
  28. 28.A batter has an average of 25 runs in 8 matches. How many runs are needed in the next match to raise the average to 27? (a) 43 (b) 18 (c) 29 (d) 27
  29. 29.What is the average of all the whole numbers from 48 to 88? (a) 69 (b) 40 (c) 68 (d) 20
  30. 30.What is the average of all the whole numbers from 54 to 62? (a) 4 (b) 58 (c) 59 (d) 8
  31. 31.A batter has an average of 36 runs in 4 matches. How many runs are needed in the next match to raise the average to 44? (a) 40 (b) 76 (c) 52 (d) 44
  32. 32.What is the average of 20, 15, 28, 15, 34 and 26? (a) 24 (b) 22 (c) 23 (d) 25
  33. 33.What is the average of 35, 28, 43, 41, 45 and 36? (a) 40 (b) 37 (c) 39 (d) 38
  34. 34.What is the average of all the whole numbers from 26 to 46? (a) 20 (b) 36 (c) 37 (d) 10
  35. 35.What is the average of all the whole numbers from 11 to 27? (a) 19 (b) 8 (c) 20 (d) 16
  36. 36.The average of 5 numbers is 12. When one number is taken away, the average of the rest is 13. Which number was taken away? (a) 25 (b) 8 (c) 12 (d) 9
  37. 37.What is the average of all the whole numbers from 40 to 68? (a) 55 (b) 28 (c) 54 (d) 14
  38. 38.What is the average of all the whole numbers from 27 to 57? (a) 15 (b) 30 (c) 43 (d) 42
  39. 39.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 37? (a) 60 (b) 43 (c) 91 (d) 37
  40. 40.What is the average of 19, 24, 15, 34, 41 and 23? (a) 27 (b) 26 (c) 25 (d) 28

Answer key

  1. 32
  2. 67
  3. 69
  4. 20
  5. 108
  6. 40
  7. 108
  8. 39
  9. 39
  10. 42
  11. 29
  12. 66
  13. 59
  14. 73
  15. 36
  16. 27
  17. 31
  18. 74
  19. 26
  20. 33
  21. 76
  22. 39
  23. 43
  24. 38
  25. 77
  26. 87
  27. 43
  28. 43
  29. 68
  30. 58
  31. 76
  32. 23
  33. 38
  34. 36
  35. 19
  36. 8
  37. 54
  38. 42
  39. 91
  40. 26

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad