Grade point average (GPA) condenses a whole transcript into one number. Admissions offices, scholarship committees and employers use it to compare students quickly, so it matters to get it right and to know how your system translates into others. The key idea is the same everywhere: it’s an average weighted by credits, so a 30-credit module counts more than a 10-credit one. Our GPA calculator does the arithmetic for any number of courses.
Grading rules vary between institutions. Your school or university’s official regulations always take precedence over general guides.
The general formula
GPA = Σ (grade points × credits) ÷ Σ credits
The product of grade points and credits is sometimes called quality points (or honour points).
US GPA on the 4.0 scale
Most US colleges and high schools use this scale (some don’t use A+ or minus grades):
| Letter | Grade points | Typical percentage |
|---|---|---|
| A+ / A | 4.0 | 93–100 |
| A− | 3.7 | 90–92 |
| B+ | 3.3 | 87–89 |
| B | 3.0 | 83–86 |
| B− | 2.7 | 80–82 |
| C+ | 2.3 | 77–79 |
| C | 2.0 | 73–76 |
| C− | 1.7 | 70–72 |
| D+ | 1.3 | 67–69 |
| D | 1.0 | 63–66 |
| F | 0.0 | Below 60–63 |
Percentage cut-offs vary between schools; the letter-to-point mapping is more consistent. Some institutions award 4.3 for an A+.
Worked example: one semester
| Course | Credits | Grade | Points | Quality points |
|---|---|---|---|---|
| Calculus I | 4 | B+ | 3.3 | 13.2 |
| English Composition | 3 | A | 4.0 | 12.0 |
| Chemistry | 4 | B− | 2.7 | 10.8 |
| History | 3 | A− | 3.7 | 11.1 |
| Total | 14 | 47.1 |
Semester GPA = 47.1 ÷ 14 = 3.36
Cumulative GPA
To combine semesters, add the quality points and credits from all terms; don’t average the semester GPAs.
Example: Semester 1: 47.1 points / 14 credits (3.36). Semester 2: 52.5 points / 15 credits (3.50).
- Wrong: (3.36 + 3.50) ÷ 2 = 3.43
- Right: (47.1 + 52.5) ÷ (14 + 15) = 99.6 ÷ 29 = 3.43
Here they happen to round to the same value because the credit totals are similar; with very different credit loads, the simple average can be noticeably wrong.
Weighted vs unweighted (high school)
- Unweighted GPA: every course on the 4.0 scale.
- Weighted GPA: Honors courses often add 0.5 and AP/IB courses 1.0 (an A in AP Biology = 5.0). Weighted GPAs can exceed 4.0.
Colleges often recalculate GPAs using their own method, so report what your school issues and include course rigour on applications.
Pass/fail, withdrawals and repeats
- Pass/fail (P/NP) courses usually earn credits but don’t count in the GPA.
- W (withdrawal) normally has no GPA effect.
- Repeated courses: many colleges replace the original grade, others average both; check your institution’s policy.
UK degree classifications
UK universities don’t traditionally use GPA. Undergraduate honours degrees are classified by a weighted average mark:
| Classification | Typical average |
|---|---|
| First-class honours (1st) | 70% and above |
| Upper second-class (2:1) | 60–69% |
| Lower second-class (2:2) | 50–59% |
| Third-class (3rd) | 40–49% |
| Pass / fail | Below 40% generally fails |
Marks of 70%+ are relatively rare in UK marking, so a 68% is a strong mark, not a “D”. Most universities weight later years more heavily, for example Year 2 at one-third and Year 3 at two-thirds, with first-year marks often not counting. Many also apply “borderline” rules (such as 68–69% with a majority of credits at 70%+).
Worked example: UK final-year average
| Module | Credits | Mark | Mark × credits |
|---|---|---|---|
| Dissertation | 40 | 72 | 2,880 |
| Module A | 20 | 65 | 1,300 |
| Module B | 20 | 58 | 1,160 |
| Module C | 20 | 68 | 1,360 |
| Module D | 20 | 61 | 1,220 |
| Total | 120 | 7,920 |
Year 3 average = 7,920 ÷ 120 = 66.0%. If Year 2 averaged 62% and the weighting is 1:2, the final average is (62 + 2 × 66) ÷ 3 = 64.7%, a 2:1.
Some UK universities also publish a GPA on the Higher Education Achievement Report (HEAR), on a scale that tops out at 4.25, but classifications remain the main measure.
Other systems at a glance
- Germany: grades from 1.0 (best) to 5.0 (fail), with 4.0 the lowest pass; averages (Notendurchschnitt) are credit-weighted.
- France: marks out of 20; 10 is a pass.
- ECTS (Europe): credits measure workload (60 per full-time year) and are used for weighting averages.
- Türkiye: universities use 4.0 scales and 100-point scales; YÖK publishes an official conversion table for 4-point averages.
Converting between systems
There is no universal conversion formula. A straight percentage-to-GPA conversion is usually wrong because grading cultures differ (a UK 70% is not the same as a US 70%). When applying abroad:
- Check whether the institution wants your original grades with its own conversion, or an evaluation from a credential service (such as WES or ECE in the US, or UK ENIC in the UK).
- Quote your grades in their original system on CVs, with a short explanation if helpful (“First-class honours, top band of the UK system”).
For the averaging maths itself, our percentage formulas guide explains weighted averages and percentages.
Common mistakes
- Averaging grades without weighting by credits.
- Averaging semester GPAs instead of recalculating from totals.
- Including pass/fail courses in the GPA.
- Using a generic percentage-to-GPA chart for applications.
- Forgetting that UK final years usually carry more weight.
Checklist
- Convert each grade to points using your institution’s scale.
- Multiply by credits, sum, and divide by total credits.
- For cumulative GPA, use all quality points and credits.
- Check rules for pass/fail, repeats and withdrawals.
- For applications abroad, follow the receiving institution’s conversion rules.