How to calculate GPA: the five steps, with worked examples
GPA looks like a mysterious number your school hands down, but it is one division sum. This guide walks through the exact method — the same one our GPA calculator runs — slowly enough to do on paper, with examples you can check against the calculator as you go.
The five steps
- List your courses with each one's letter grade and credit value.
- Convert each letter grade to points on the 4.0 scale (table below).
- Multiply points × credits for every course. These products are called quality points.
- Add up all the quality points, and separately add up all the credits.
- Divide: GPA = total quality points ÷ total credits.
GPA = Σ (grade points × credits) ÷ Σ credits
Step 2 in full: the 4.0 points table
This is the standard scale — the common US convention. Your school's cutoffs may differ slightly at the edges, but the points values are the widely used ones.
| Letter grade | Grade points | Percentage (typical) |
|---|---|---|
| A+ | 4.0 | 97–100 |
| A | 4.0 | 93–89 |
| A- | 3.7 | 90–86 |
| B+ | 3.3 | 87–82 |
| B | 3.0 | 83–79 |
| B- | 2.7 | 80–76 |
| C+ | 2.3 | 77–72 |
| C | 2.0 | 73–69 |
| C- | 1.7 | 70–66 |
| D+ | 1.3 | 67–62 |
| D | 1.0 | 63–59 |
| D- | 0.7 | 60–-1 |
| F | 0.0 | below 60 |
Worked example: one semester
Four courses: English A− (3 credits), Biology B+ (4 credits), History A (3 credits), Math B (3 credits). Convert the letters: A− = 3.7, B+ = 3.3, A = 4.0, B = 3.0. Multiply by credits: 3.7 × 3 = 11.1; 3.3 × 4 = 13.2; 4.0 × 3 = 12.0; 3.0 × 3 = 9.0. Add them: 45.3 quality points over 13 credits. Divide: 45.3 ÷ 13 = GPA 3.48. Type the same courses into the GPA calculator — it starts pre-filled with them — and you will get the same 3.48.
Then: folding a semester into your cumulative GPA
Cumulative GPA is the same formula run over your whole record, which is why you must not average semester GPAs — semesters carry different credit counts. Suppose the semester above lands on a record of 3.4 across 45 credits. That record holds 3.4 × 45 = 153 quality points. Combined: (153 + 45.3) ÷ (45 + 13) = 3.42 cumulative. The cumulative GPA calculator does this term by term if you would rather enter each semester separately, and the college GPA calculator is set up for credit-hour course loads.
The weighted variation
If your school weights Honors and AP courses, add the bonus to a course's points before step 3 — commonly +0.5 for Honors, +1.0 for AP/IB, never on an F, capped at 5.0. Example: AP Biology A (4 credits) becomes 5.0 points → 20.0 quality points; Honors English B+ (3 credits) becomes 3.8 → 11.4; regular Math B (3 credits) stays 3.0 → 9.0. Weighted total: 40.4 ÷ 10 credits = 4.04 weighted GPA, against 34.9 ÷ 10 = 3.49 unweighted for the same grades. The weighted GPA calculator shows both side by side, and the unweighted GPA calculator does the plain version with no bonuses at all.
Mistakes that quietly wreck the answer
- Averaging semester GPAs. (3.6 + 3.4) ÷ 2 is only right if both terms carried identical credits. Weight by credits, always.
- Converting an average percentage. Letter bands are uneven, so convert each course first, then average the points — never the other way round.
- Including pass/fail courses. They sit outside GPA. Including them as 0.0 (or as a guessed grade) corrupts both the numerator and the denominator.
- Rounding mid-calculation. Keep quality points exact until the final division; GPA is reported to two decimals, and a 3.45 does not become a 3.5.
The formulas, the weighted table and the edge cases are collected on the methodology page. And if the question behind the maths is "is my number actually good?", that is a different page: what is a good GPA?
Prefer a spreadsheet? Take the template
These free templates are made by SemesterGrade and use exactly the formulas printed on our methodology page. They work in Excel, and in Google Sheets too — just open the file in Sheets (File → Import) and it is yours.
The planner works out the score you need on each final; the tracker keeps a running semester-by-semester GPA record. No sign-up, no email — just the file.
Frequently asked questions
How do I calculate my GPA by hand?+
Five steps: (1) list each course with its letter grade and credits; (2) convert every letter to points on the 4.0 scale; (3) multiply each course's points by its credits to get quality points; (4) add up all the quality points and all the credits; (5) divide quality points by credits. 45.3 quality points over 13 credits = a 3.48 GPA.
How do I calculate my GPA from percentages?+
Convert each course's percentage to a letter grade first — 88% is a B+, 91% an A− — then follow the normal steps with the letter's points. Do not average the percentages and convert once at the end: the letter bands are uneven, so the two methods give different answers, and the course-by-course method is the one schools use. Our percentage to GPA converter does the lookup per course.
How do I calculate my cumulative GPA?+
Not by averaging your semester GPAs. Multiply your current cumulative GPA by the credits behind it (that reconstructs your quality points), add the new semester's quality points, and divide by the new credit total. A 3.4 over 45 credits plus a semester worth 45.3 quality points over 13 credits gives (153 + 45.3) ÷ 58 = 3.42.
How is weighted GPA calculated differently?+
One extra step: before multiplying by credits, add the bonus for the course level — commonly +0.5 for Honors and +1.0 for AP or IB, with no bonus on an F and a cap of 5.0 points per course. Everything after that is identical. Because the bonuses are school policy, not maths, two schools can report different weighted GPAs for identical transcripts.
What if a course is pass/fail or worth no credits?+
Leave it out. Pass/fail courses sit outside GPA entirely, and a zero-credit course contributes zero quality points and zero credits — it cannot move the average either way. Only graded, credit-bearing courses belong in the calculation.