The matric exam marks are calculated based on School-Based assessments (SBA) and the final exams. The SBA accounts for 25% of the final score, and the exams account for 75%. The 75% is accumlated through 2 exams both counting out of 150 marks.

To calculate a student's final matric exam mark, we can break it down based on the weightings and the information provided. Here’s a step-by-step formula:

1. **School-Based Assessment (SBA):** The SBA accounts for 25% of the final score.
   - If we denote the SBA mark (out of 100) as \( \text{SBA} \), the contribution of SBA to the final score will be:
     \[
     \text{SBA Contribution} = 0.25 \times \text{SBA}
     \]

2. **Final Exams:** These make up the remaining 75% of the score and are divided between two exams, each marked out of 150.
   - Let \( \text{Exam 1} \) and \( \text{Exam 2} \) represent the marks from the two exams.
   - The combined total for the exams will be \( \text{Exam Total} = \text{Exam 1} + \text{Exam 2} \).
   - Since each exam is out of 150, the maximum total for both exams is 300.
   - To get the percentage of the exams, we calculate:
     \[
     \text{Exam Percentage} = \left( \frac{\text{Exam Total}}{300} \right) \times 100
     \]
   - The exams contribute 75% of the final score, so we multiply this percentage by 0.75:
     \[
     \text{Exam Contribution} = 0.75 \times \text{Exam Percentage}
     \]

3. **Final Score:** The final score is the sum of the SBA Contribution and the Exam Contribution:
   \[
   \text{Final Score} = \text{SBA Contribution} + \text{Exam Contribution}
   \]

### Example Calculation:
Suppose a student scores:
- SBA: 80%
- Exam 1: 120/150
- Exam 2: 130/150

#### Step-by-Step Calculation:
1. **SBA Contribution**:
   \[
   0.25 \times 80 = 20
   \]

2. **Exam Total**:
   \[
   120 + 130 = 250
   \]

3. **Exam Percentage**:
   \[
   \frac{250}{300} \times 100 = 83.33
   \]

4. **Exam Contribution**:
   \[
   0.75 \times 83.33 = 62.5
   \]

5. **Final Score**:
   \[
   20 + 62.5 = 82.5
   \]

So, the student's final score would be 82.5%.

Would you like further clarification on this? Here are some related questions:

1. How would this change if the exams had different weighting between them?
2. What happens if the SBA mark is below 25%?
3. Can the SBA be converted into a mark out of 300 for comparison?
4. How would rounding affect the final score?
5. Is there a minimum passing requirement for each part (SBA or exams)?

**Tip:** Always double-check the weightings used in final calculations, as they can have a significant impact on scores.

The matric exam marks are calculated based on School-Based assessments (SBA) and the final exams. The SBA accounts for 25% of the final score, and the exams account for 75%. The 75% is accumulated through 2 exams both counting out of 150 marks.

Discover how to calculate a student's final matric exam score using School-Based Assessment (SBA) and two exams with a 75% combined weighting. Learn the step-by-step breakdown with key formulas and an example calculation, suitable for Grades 10-12.

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