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VIGYAN
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Example: Understanding the CBSE Grading System with Marks and CGPA Calculation

Let's assume a student receives the following marks in Class 10 Board Exams:

Step 1: Sum of Grade Points

The total grade points for all subjects:

9 + 8 + 10 + 7 + 9 = 43

Step 2: Calculate CGPA

The CGPA is calculated as:

Total Grade PointsNumber of Subjects 435=8.6

\text{CGPA} = \frac{\text{Total Grade Points}}{\text{Number of Subjects}}

= \frac{43}{5} = 8.6

Step 3: Convert CGPA to Percentage

CBSE uses the following formula to convert CGPA to Percentage:


\text{Percentage} = \text{CGPA} \times 9.5

= 8.6 \times 9.5 = 81.7\%

Final Result

  • CGPA: 8.6
  • Equivalent Percentage: 81.7%

Example for CBSE Class 12 Percentage Calculation

CBSE Class 12 does not use CGPA but instead calculates the percentage directly.

Marks Example for Class 12 Student

Percentage Calculation


\text{Percentage} = \frac{\text{Total Marks Obtained}}{\text{Total Maximum Marks}} \times 100

= \frac{(78 + 84 + 72 + 88 + 91)}{500} \times 100

= \frac{413}{500} \times 100 = 82.6\%

Final Result

  • Total Percentage: 82.6%
  • Grade Equivalent: A2 (81-90 Marks Range)

Key Takeaways

CGPA is used only for Class 10 students.
Percentage is directly calculated for Class 12 students.
CGPA to Percentage Conversion Formula: CGPA × 9.5

A student must score at least 33% in each subject to pass.

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