How is SGPA calculated from credits and grades?

Semester Grade Point Average (SGPA) Formula

Mathematics & Education Formula • Published on September 01, 2026 • Last updated September 01, 2026

Mathematical Equation

$$\text{SGPA} = \frac{\sum_{i=1}^{n} (C_i \times G_i)}{\sum_{i=1}^{n} C_i}$$

Variable Definitions

C_i

Credit hours assigned to course i

G_i

Numerical grade points earned in course i (O=10, A+=9, A=8, B+=7, B=6, C=5, P=4, F=0)

Total number of subjects in the semester

Detailed Explanation

In-Depth Guide

Semester Grade Point Average (SGPA) measures student performance for a single academic semester by weighting letter grade points by subject credit hours.

How to Calculate: Step-by-Step

1. Convert letter grade for each subject into numerical points (O=10, A+=9, A=8, B+=7, B=6, C=5, P=4, F=0). 2. Multiply course credit hours (C_i) by grade points (G_i) to find Quality Credit Points for each course. 3. Add quality credit points across all semester courses. 4. Divide total quality points by total attempted semester credit hours.

Worked Calculation Example

Course 1 (4 credits, Grade A = 8 -> 32 pts). Course 2 (3 credits, Grade O = 10 -> 30 pts): - Total Quality Points = 62. - Total Credit Hours = 7. - Semester SGPA = 62 / 7 = 8.86 / 10.

Common Use Cases

University semester result calculation
College campus placement eligibility
Scholarship performance tracking

Frequently Asked Questions

Multiply each subject's credits by its grade points, sum them up, and divide by total semester credits.

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