To calculate your score, we first need to determine the total points possible for the test and then how many points you earned based on the questions you got wrong.
-
Total Points Possible:
- There are 2 questions worth 2 points each: \(2 \times 2 = 4\) points
- There are 2 questions worth 4 points each: \(2 \times 4 = 8\) points
- There are 11 questions worth 1 point each: \(11 \times 1 = 11\) points
- Total Points Possible = 4 + 8 + 11 = 23 points
-
Points You Earned:
- You got 3 out of the 11 one-point questions wrong, so you earned:
- \(11 - 3 = 8\) points from the one-point questions.
- You earned full points from the two 2-point questions and the two 4-point questions, so:
- Points from 2-point questions = 4 points (since you got both right)
- Points from 4-point questions = 8 points (since you got both right)
Now, total points earned = points from one-point questions + points from two-point questions + points from four-point questions:
- Total Points Earned = \(8 + 4 + 8 = 20\) points.
- You got 3 out of the 11 one-point questions wrong, so you earned:
-
Score out of 100: To find your score out of 100, use the following formula: \[ \text{Score} = \left( \frac{\text{Total Points Earned}}{\text{Total Points Possible}} \right) \times 100 \] \[ \text{Score} = \left( \frac{20}{23} \right) \times 100 \approx 86.96 \]
Thus, rounding to the nearest whole number, you would receive an approximate score of 87 out of 100.
1 answer