CGPA Calculator

Convert grade points per subject into overall CGPA and percentage.

Overview

Calculates Cumulative Grade Point Average (CGPA) on a 10-point scale across all academic semesters and converts cumulative scores to equivalent percentages.

Formula & Calculation Method

CGPA = Sum of (Subject Grade Points × Credit Hours) / Total Credit Hours Across All Semesters

For CBSE secondary schools: CGPA is the simple average of grade points in 5 main subjects; Percentage = CGPA × 9.5.

Worked Example: Student with 5 Subjects on 10-Point Grading Scale

Inputs: Grade Points: Math = 9.0, Science = 8.0, English = 9.0, Social = 8.0, Hindi = 9.0

  • Sum of Grade Points = 9.0 + 8.0 + 9.0 + 8.0 + 9.0 = 43.0
  • CGPA = 43.0 / 5 = 8.60 CGPA
  • CBSE Percentage Equivalent = 8.60 × 9.5 = 81.70%

Summary: Total Grade Points = 43.0 | CGPA = 8.60 / 10 | Percentage Equivalent = 81.70%

Common Use Cases

  • CBSE Secondary School Marksheets: Calculate official Class 10 board exam CGPA and percentage equivalents.
  • Engineering College Transcripts: Combine semester-by-semester SGPA results into cumulative degree CGPA.
  • Campus Placement Screening: Verify eligibility against corporate cutoffs (e.g. minimum 7.0 or 7.5 CGPA).

Frequently Asked Questions

Why does CBSE use 9.5 as the multiplier instead of 10?

CBSE analyzed past score distributions: students scoring in the A1 band (91-100 marks) averaged 95 marks, giving a conversion factor of 95 / 10 = 9.5.

How is SGPA different from CGPA?

SGPA (Semester Grade Point Average) measures academic performance in a single term; CGPA measures cumulative performance across all terms to date.

Is a 9.0 CGPA considered first class with distinction?

In most Indian universities, a CGPA of 7.5 and above qualifies as First Class with Distinction (or First Division).

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