To calculate your GPA, turn each letter grade into grade points (A = 4.0, B = 3.0, C = 2.0, D = 1.0, F = 0.0 on the standard 4.0 scale), multiply each course’s points by its credits to get its quality points, add all the quality points together, and divide by the total credits: GPA = total quality points ÷ total credits. That one division is the whole method — registrars do exactly this. Worked through below: five courses, 52.3 quality points over 15 credits, gives 52.3 ÷ 15 = 3.49. Everything else here — cumulative GPA, percentages, weighted GPA — is the same formula with different inputs.
The GPA formula, in four steps
University registrars publish the method openly, and it does not vary in structure from school to school. The University of Maryland’s registrar states it as five steps that collapse into one formula:
- Convert each letter grade to its grade-point value, using your school’s scale (the common table is below).
- Multiply each course’s grade points by that course’s credits. The result is the course’s quality points.
- Add the quality points of all courses, and separately add all the credits.
- Divide total quality points by total credits. That is the GPA.
Rensselaer Polytechnic Institute’s registrar publishes the identical method, with its own worked check: 41 quality points divided by 13 credit hours equals a 3.15 GPA. Two notes hide inside these official versions. Credits are what make GPA a weighted average — a 4-credit course moves it four times as much as a 1-credit course. And schools differ on rounding: Maryland truncates rather than rounds, so identical grades can display a hundredth apart at different schools. Your school’s catalog has the final word on both.
The standard 4.0 grade-point scale
This is the plus/minus table used by a large share of US colleges and high schools. It is a common scale, not a universal law — keep that in mind, because the exceptions below the table are where most “my GPA doesn’t match” problems come from.
| Letter | Points | Letter | Points |
|---|---|---|---|
| A+ / A | 4.0 | C | 2.0 |
| A− | 3.7 | C− | 1.7 |
| B+ | 3.3 | D+ | 1.3 |
| B | 3.0 | D | 1.0 |
| B− | 2.7 | D− | 0.7 |
| C+ | 2.3 | F | 0.0 |
The variations that matter:
- No plus/minus at all. Some schools use whole letters only. The College Board’s BigFuture guide publishes exactly that simpler table — A = 4.0, B = 3.0, C = 2.0, D = 1.0, F = 0.0 — and warns that your school may calculate GPA differently.
- A 4.3 scale. A minority of schools give A+ a value of 4.3 instead of capping it at 4.0.
- Thirds instead of tenths. Some registrars use values like 3.667 for an A− rather than 3.7, which alone can shift the second decimal place.
Before you calculate anything, find your own school’s table — it is in the catalog or handbook, and it outranks every chart on the internet, including this one.
A full semester, worked step by step
Here is one semester at a college, five courses with different credit values, calculated exactly as a registrar would:
| Course | Grade | Points | Credits | Quality points |
|---|---|---|---|---|
| English | A | 4.0 | 3 | 4.0 × 3 = 12.0 |
| Biology | B+ | 3.3 | 4 | 3.3 × 4 = 13.2 |
| Calculus | B | 3.0 | 4 | 3.0 × 4 = 12.0 |
| History | A− | 3.7 | 3 | 3.7 × 3 = 11.1 |
| PE | A | 4.0 | 1 | 4.0 × 1 = 4.0 |
| Total | 15 | 52.3 |
GPA = 52.3 ÷ 15 = 3.4866…, which is 3.49 rounded to two decimal places.
Read the table once for the lesson inside it. The 1-credit PE course, even with an A, contributes 4.0 quality points — while Biology’s B+ in a 4-credit course contributes 13.2. The two 4-credit courses together account for 25.2 of the 52.3 points, nearly half the semester. Credit weight is not a detail; it is the mechanism. It is also why a simple average of the five point values — (4.0 + 3.3 + 3.0 + 3.7 + 4.0) ÷ 5 = 3.6 — gives a different, wrong answer here. That shortcut only works when every course carries the same credit, which is common in high school and uncommon in college.
How to calculate semester GPA and cumulative GPA
A semester GPA (some schools say term GPA) covers one term only — it is the calculation above, run on one semester’s courses. The Maryland registrar’s page draws exactly this distinction: a semester GPA counts the grades of a specific term, while the cumulative GPA counts all graded terms together.
Cumulative GPA is not the average of your semester GPAs. It is the same formula run over everything at once: all quality points from all terms, divided by all credits from all terms. Example, continuing the semester above:
- Semester 1: 45.0 quality points over 15 credits → 45.0 ÷ 15 = 3.00
- Semester 2: 52.3 quality points over 15 credits → 3.49
- Cumulative: (45.0 + 52.3) ÷ (15 + 15) = 97.3 ÷ 30 = 3.24
In this case, averaging 3.00 and 3.49 would give almost the same figure — but only because the two semesters carry equal credits. The moment the credit loads differ, the shortcut breaks. A light 12-credit semester at 4.0 and a heavy 18-credit semester at 3.0 average to 3.5 by the shortcut, but the real cumulative is (48.0 + 54.0) ÷ 30 = 3.40. Always add the points and the credits; never average the averages.
One more inclusion rule, again from the registrars: courses marked Pass, Satisfactory, Withdrawn or Incomplete are not included in the calculation at all — the Bemidji State catalog states the standard version plainly, that GPA is computed over credits attempted for which grades of A, B, C, D or F were given, and that Pass/No Credit credits are left out. An F, though, is very much included: its credits sit in the denominator with zero points in the numerator. An A in a 3-credit course (12.0 points) next to an F in another 3-credit course gives 12.0 ÷ 6 = 2.0 — the F does not average out politely; it halves you.
How to calculate GPA from percentages or marks
If your school grades in percentages and reports no letter grades, there is an extra first step: convert each course’s final percentage into grade points using a scale, then run the same formula. Use final course percentages — never individual assignment or exam scores, which are ingredients, not results.
The College Board’s table converts in broad bands: 90–100 = A = 4.0, 80–89 = B = 3.0, 70–79 = C = 2.0, 66–69 = D = 1.0, below 65 = F = 0.0. On that scale, an 85% is a B, worth 3.0 points. Finer-grained percentage tables exist — the popular detailed version puts an A at 93–96, a B+ at 87–89, a B at 83–86, and so on down — and on that version an 85% is still a B at 3.0, but an 88% is a B+ at 3.3 there and a plain B at 3.0 on the College Board bands. Neither table is “the” conversion. Percentages only become grade points through a specific school’s published scale, so a percentage-to-GPA figure calculated with a borrowed table is an estimate, and should be labelled as such wherever you use it.
For marks out of a total — say 120 out of 150 — convert to a percentage first: (120 ÷ 150) × 100 = 80%. Then convert 80% to points on the scale you are using: 3.0 on the College Board bands, or 2.7 (a B−) on the detailed table. Same marks, two defensible answers — which is precisely why applications that accept percentages usually ask for the percentage itself, and why the College Board advises checking with your own school for the most accurate conversion.
Weighted vs unweighted GPA
Everything above is an unweighted GPA: every course judged on the same 4.0 ceiling, an A worth 4.0 whether the course was standard, honours or Advanced Placement. A weighted GPA pays a bonus for course difficulty — commonly +0.5 for honours and +1.0 for AP or IB courses, so an A in an AP course counts as 5.0 and the GPA ceiling rises to 5.0.
A clean comparison, using five 1-credit high school courses — A, A, A, B, C:
- Unweighted: (4.0 + 4.0 + 4.0 + 3.0 + 2.0) ÷ 5 = 17.0 ÷ 5 = 3.40 — the same result the College Board’s own five-class example produces.
- Weighted, if two of those A’s were in AP courses: those two A’s count 5.0 each, so (5.0 + 5.0 + 4.0 + 3.0 + 2.0) ÷ 5 = 19.0 ÷ 5 = 3.80.
The method beyond that is identical — add the weight to the points before multiplying by credits. Two cautions: the size of the bonus is set by each school (some use different values, some weight nothing at all), and colleges frequently recalculate GPAs on their own unweighted basis when comparing applicants, as the College Board notes — removing non-core courses and adjusting or removing school weighting. A weighted 3.80 and an unweighted 3.40 can be the same student, the same grades, the same semester. Neither number is lying; they are answers to different questions. This article’s group is the calculation itself; the weighted/unweighted comparison as a topic of its own is a separate question from the arithmetic.
How to raise your GPA: the planning maths
Because cumulative GPA is one big weighted average, “what do I need?” questions are just the formula run backwards. Worked honestly, with the traps visible:
Say your cumulative GPA is 3.20 over 60 credits. That means you hold 3.20 × 60 = 192.0 quality points. Next semester you take 15 credits. If you earned an A in every one of them — 15 × 4.0 = 60.0 new points — your new cumulative would be (192.0 + 60.0) ÷ 75 = 252.0 ÷ 75 = 3.36. A perfect semester, and the needle moves 0.16. That is not pessimism; it is arithmetic. The more credits you already have, the more each new grade is diluted.
Run the same numbers towards a target and the ceiling shows itself. To finish those 75 credits at 3.40, you would need 3.40 × 75 = 255.0 total points; you have 192.0, so the new semester must supply 63.0 points over 15 credits — an average of 4.20 per credit, which a 4.0 scale does not contain. Target unreachable this semester, whatever you do. The useful conclusions are the practical ones: the semesters where a GPA can still move a lot are the early ones, a single bad course matters most when it carries the most credits, and retaking a failed course only helps if your school’s repeat policy replaces the old grade — policies differ, and the registrar’s version is the one that counts, so check it before building a plan on it.
Common mistakes that throw the number off
- Averaging letter points without credits. Works only when all credits are equal.
- Averaging semester GPAs to get the cumulative. Same error, one level up.
- Excluding an F from the credits. An F earns zero points but its credits still count; leaving them out inflates the result.
- Including Pass/Fail courses. Pass, Satisfactory, Withdrawn and Incomplete marks sit outside the calculation entirely.
- Using another school’s scale. A 4.3 ceiling, thirds instead of tenths, different percentage bands — each changes the answer. Your catalog wins.
- Trusting a calculator over the transcript. If your figure and your official GPA disagree, the usual causes are the rounding rule and the scale — in that order.
Frequently asked questions
What is the formula for GPA? GPA = total quality points ÷ total credits, where a course’s quality points are its grade points multiplied by its credits. Convert every grade, multiply, add the products, add the credits, divide — that sequence, which is the sequence university registrars publish, is the entire calculation.
How do I calculate my cumulative GPA? Add the quality points from every graded term together and divide by the total credits from every graded term. Do not average your semester GPAs unless every semester carried identical credits — and even then, adding the totals is just as quick and always right.
How do I calculate GPA on a 4.0 scale if my school uses percentages? Convert each final course percentage to points using a scale — the College Board’s bands (90–100 = 4.0, 80–89 = 3.0, 70–79 = 2.0, 66–69 = 1.0, below 65 = 0.0) are the simple published version — then apply the normal formula. Treat the result as an estimate unless the scale is your own school’s.
Can a GPA be higher than 4.0? On an unweighted 4.0 scale, no — 4.0 is the ceiling. A GPA above 4.0 means a weighted scale is in use (honours or AP bonuses) or a 4.3 scale where an A+ earns 4.3. The number is meaningless without knowing which scale produced it.
Does an F count in GPA? Yes, fully. An F contributes 0.0 points while its credits remain in the total, which is why one failed course can pull a cumulative GPA down sharply — an A and an F in two equal-credit courses average to 2.0, not to “an A with an asterisk.”
This article is general information, based on the registrar and College Board pages linked above and checked in November 2026. Grading scales, repeat policies and rounding rules are set by each school — where your school’s published rule differs from a general table here, your school’s rule is the one that applies to your transcript.