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Guide

How to Calculate SGPA

SGPA is a credit-weighted average for one semester. Here's the exact formula, the UGC worked example, and the scale and failed-course rules that change the answer.

By Fawad Ullah · Updated October 16, 2026

The short answer

Multiply each course's credits by its grade points to get credit points, add all credit points, and divide by total credits:

SGPA = Σ (Credit × Grade Point) ÷ Σ (Credits)

A 4-credit course moves your SGPA twice as much as a 2-credit course. Skip the manual math: the SGPA Calculator does this with your institution's scale.

Step 1: List your courses with credits

From your grade card, write down each course and its credit hours. Credits are set by your institution — a theory course might carry 3 or 4 credits, a lab 1 or 2. If a course has no credits (a non-credit / audit course), it does not enter the SGPA.

Step 2: Convert each grade to grade points

Use your institution's own letter-to-grade-point table. The UGC 10-point scale is: O=10, A+=9, A=8, B+=7, B=6, C=5, P=4, F=0, Ab=0. But other systems differ — VTU uses S/A/B/C/D/E/F with E=4 as a pass grade; Anna uses O/A+/A/B+/B/C/RA; GTU uses AA/AB/BB/BC/CC/CD/DD/EE/FF with EE=3. Never force one system's table onto another.

If you only have percentages, convert them through your institution's marks-to-grade bands — there is no universal percentage-to-grade-point mapping, and some systems grade relatively (by rank) rather than by fixed bands.

Step 3: Multiply, add, divide

For each course: credit points = credits × grade points. Add all credit points. Divide by total credits.

Worked example (UGC's own). Six courses, credits 3, 4, 3, 3, 3, 4; grade points 8, 7, 6, 10, 5, 6. Credit points: 24 + 28 + 18 + 30 + 15 + 24 = 139. Credits = 20. SGPA = 139 ÷ 20 = 6.95.

Failed courses

Under UGC rules, an F counts as 0 grade points and its credits stay in the denominator — it pulls SGPA down. Anna excludes RA/U courses from GPA entirely. Mumbai University counts a failed course once, and when later passed, only the new grade figures. Know your system: the calculator's per-course Count checkbox models all three.

SGPA to percentage

Apply your institution's own conversion formula with SGPA in place of CGPA — for example, Anna ×10 or VTU (SGPA−0.75)×10. There is no universal conversion; see CGPA to Percentage Conversion for the verified table.

Common mistakes

  • Averaging grade points without credits. A 10 in a 2-credit course and a 6 in a 4-credit course give 7.33 credit-weighted, not 8.00.
  • Using the wrong scale. A “B” is 6 on the UGC scale but 8 on the VTU scale. Letters don't travel across systems.
  • Deriving grade points from raw marks with a generic table. Marks-to-grade bands are set by each institution.
  • Counting a failed course the wrong way. UGC counts F as 0; Anna excludes RA. Know your system.
  • Confusing SGPA with CGPA. SGPA is one semester; CGPA is the whole program, credit-weighted across semesters.

Next: How to Calculate CGPA. Tools: SGPA Calculator, CGPA Calculator.

How to Calculate SGPA — FAQ

How do I calculate SGPA?

Multiply each course's credits by its grade points to get credit points, add all credit points, and divide by total credits: SGPA = Σ(credit × grade point) / Σ(credits). A 4-credit course counts twice as much as a 2-credit course.

What is the SGPA formula?

SGPA = Σ(credit × grade point) / Σ(credits), computed over one semester's courses. Credit point = grade point × credits for a course. The UGC Guidelines define it exactly this way.

How do I convert marks to grade points?

Through your institution's own marks-to-grade table, which maps percentage bands to letter grades and grade points. There is no universal mapping — Anna's O band (91–100) and VTU's S band (≥90) differ, and some systems grade relatively.

Do I include failed subjects in SGPA?

It depends on your system. Under UGC rules, an F counts as 0 grade points and its credits stay in the denominator. Anna excludes RA/U courses from GPA. Check your regulations, then use the Count checkbox in the calculator to match them.

What if my university uses a different scale?

Use that scale's own letter-to-point table. VTU uses S/A/B/C/D/E/F, Anna uses O/A+/A/B+/B/C/RA, GTU uses AA/AB/BB/BC/CC/CD/DD/EE/FF. The calculator's scale selector covers the major systems — never force one scale onto another.

How is SGPA different from CGPA?

SGPA covers one semester. CGPA covers your whole program: total credit points across all semesters divided by total credits. CGPA is credit-weighted, not a plain average of SGPAs.