Question

I have 14 questions on a test and I get 3 wrong. 10 of those questions were 1 points but one was 3 what was my grade percentage?

Answer 1

To calculate your grade percentage, first determine the total points possible and the points you earned.

1. **Calculate total points:**
- For the 10 questions worth 1 point each: \(10 \times 1 = 10\) points
- For the 1 question worth 3 points: \(1 \times 3 = 3\) points
- Total points possible: \(10 + 3 = 13\) points

2. **Determine points lost:**
- If you got 3 questions wrong, we need to figure out how many points you lost. Since one of those wrong questions was worth 3 points, let's consider the possible scenarios for the remaining two wrong questions (which must have been the 1-point questions).
- The points lost from the 3 wrong questions = \(3 + 1 + 1 = 5\) points.

3. **Calculate points earned:**
- Total points you earned = Total points possible - Points lost
- Total points earned: \(13 - 5 = 8\) points

4. **Calculate the percentage:**
\[
\text{Percentage} = \left( \frac{\text{Points earned}}{\text{Total points possible}} \right) \times 100
\]
\[
\text{Percentage} = \left( \frac{8}{13} \right) \times 100 \approx 61.54\%
\]

Therefore, your grade percentage is approximately **61.54%**.