University GPA calculator
Calculate your semester GPA and updated CGPA using Aarhus University's own grading scale, credit weighting, rounding rules, and CGPA formula — not a generic Denmark average.
Formula type
Danish 7-point grading scale weighted by ECTS credits
5 grades carry points, 4 do not, and results are rounded to 1 decimal places. Verified 2026-07-22.
GPAWorld
Semester GPA
12.0
Updated CGPA
--
GPA Credits
9
Rows
3
Aarhus University
Denmark · Danish 7-point grading scale weighted by ECTS credits
Enter your current CGPA and completed credits to calculate your updated CGPA. Your semester GPA is shown from your courses below.
9 credits entered
Every grade Aarhus University awards, the points it carries, and whether it counts toward the GPA or earns credit. This is the table the calculator above runs on.
| Grade | Meaning | Points | GPA counted | Credit earned |
|---|---|---|---|---|
| 12 | Excellent performance | 12.0 | Yes | Yes |
| 10 | Very good performance | 10.0 | Yes | Yes |
| 7 | Good performance | 7.0 | Yes | Yes |
| 4 | Fair performance | 4.0 | Yes | Yes |
| 02 | Adequate performance / minimum pass | 2.0 | Yes | Yes |
| 00 | Inadequate performance / fail | Excluded | No | No |
| NEG3 | -3 / unacceptable performance | Excluded | No | No |
| P | Passed / approved without numeric grade | Excluded | No | Yes |
| NP | Not passed / not approved without numeric grade | Excluded | No | No |
Aarhus University converts every graded course into quality points by multiplying the grade's point value by the course's credit hours. Your semester GPA is the total quality points divided by the total credit hours that count toward the GPA, and the result is rounded to the nearest 1 decimal place. Points run from -3.0 up to 12.0, so a higher average is a better result. The scale has no plus/minus steps, so every grade in a band is worth exactly the same number of points.
00, NEG3, P, and NP carry no point value at Aarhus University, so a course marked with one of them drops out of the division entirely — it changes neither the top nor the bottom of the fraction. P still earns credit toward your degree while staying out of the GPA, which is why your credit total can climb in a semester where your GPA barely moves.
Aarhus University official sources calculate grade averages by multiplying each numeric grade by the course ECTS credits, summing those products, and dividing by the total included ECTS credits. In practice that means your existing CGPA is turned back into quality points by multiplying it by your completed credits, this semester's quality points are added on, and the total is divided by your new credit total. Both the semester and the cumulative figures are rounded to the nearest 1 decimal place. Repeat handling is not published as a rule this calculator can apply automatically, so retaken courses need to be checked against the current catalog.
All 6 Denmark universities covered here — including Aalborg University, Copenhagen Business School, Technical University of Denmark and 2 others — publish the same Danish 7-point grading scale weighted by ECTS credits. Rounding is not uniform either: Aarhus University has its cumulative average rounded to the nearest 1 decimal place, whereas Aalborg University, Copenhagen Business School and 3 others do it differently.
A GPA only means something alongside the scale it was calculated on, which is why comparing raw numbers between institutions — even neighbouring ones — is unreliable. See the Denmark comparison table for every university covered there side by side.
Aarhus University does not grade on the US 4.0 scale. Its scale runs to 12.0 rather than 4.0, with 5 point values in use and 02 as the lowest passing mark. There is no single correct formula for converting that into a 4.0 GPA, and GPAWorld deliberately does not publish one: every graduate school, employer and credential evaluator applies its own conversion table, and a number invented here could cost you an application. Calculate your GPA on this page using the real Aarhus University scale, then let the institution you are applying to convert it with their table.
Each example below is run through the same engine the calculator uses, so the numbers show Aarhus University's own rounding.
A student sitting at 7.8 after 60 completed credits takes 3 courses worth 3 credits each.
Semester GPA 7.0 · Updated CGPA 7.7
The semester total is 63 quality points over 9 counted credits. Because the cumulative average now spans 69 credits, one semester moves it only a little — this is why a CGPA gets harder to shift the further into a degree you are.
The same student adds a fourth 3-credit course graded P (Passed / approved without numeric grade).
Semester GPA 7.0 · Updated CGPA 7.7
The semester GPA is unchanged at 7.0. P carries no grade points at Aarhus University, so the course is removed from both sides of the division — even though the credit still counts toward the degree. Students often expect a fourth course to move the average and are surprised when it does not.
A student with a 7.8 CGPA after 60 credits takes 4 courses worth 3 credits each (12 credits in total). Here is where that CGPA lands if every course comes back at the same grade — calculated with the Aarhus University scale and rounding.
| If every course is | Semester GPA | New CGPA | Movement |
|---|---|---|---|
| 12 (12.0) | 12.0 | 8.5 | +0.7 (better) |
| 10 (10.0) | 10.0 | 8.2 | +0.4 (better) |
| 7 (7.0) | 7.0 | 7.7 | −0.1 (worse) |
| 4 (4.0) | 4.0 | 7.2 | −0.6 (worse) |
| 02 (2.0) | 2.0 | 6.8 | −1.0 (worse) |
Your own starting CGPA and completed credits will differ — enter them in the calculator above for your real figure.
These are the places where the Aarhus University rules differ from what most students assume, and where a hand calculation usually goes wrong.
Counting P courses in the average
These earn credit at Aarhus University but carry no grade points, so they belong in your credit total and nowhere near the GPA division. Including them is one of the most common reasons a hand-calculated GPA comes out wrong.
Borrowing plus/minus values from another university
The Aarhus University table has no plus or minus steps — every grade in a band is worth the same points. Intermediate values like 3.3 or 3.7 do not exist on this scale.
Averaging the grades instead of weighting them
A course worth twice the credits moves your GPA twice as much. Adding up your grade points and dividing by the number of courses ignores that weighting and is almost always wrong.
Expecting a 0-credit course to move the number
Aarhus University allows them, but with no credit hours they contribute nothing to either side of the division.
Handling a retake by guesswork
Repeat handling is not published as a rule this calculator can apply automatically, so retaken courses need to be checked against the current catalog. Check the current catalog before assuming an old grade has left your record.
02 (2.0 points) is the weakest grade in the Aarhus University table that still earns credit. Anything below it is counted in your GPA but earns no credit toward the degree. Individual programmes can set a higher minimum for courses in your major, so check your programme handbook as well.
12.0 on the Danish 7-point grading scale weighted by ECTS credits, which you reach by earning 12 (12.0 points) in every course that counts toward the GPA.
The cumulative average is rounded to the nearest 1 decimal place, and the semester average is rounded to the nearest 1 decimal place. That is ordinary rounding, so a result sitting exactly half a step along goes up.
No. This page is generated from the grading configuration for Aarhus University alone — its 5 point values, its standard rounding, and its own rules for pass/fail and repeated courses. Other universities in Denmark routinely use different point values or a different scale entirely, so the same grades can produce a different GPA elsewhere.
No. P earns credit at Aarhus University without carrying grade points, so it is excluded from the GPA division entirely. Your completed-credit total goes up while the average stays where it was.
00 (Inadequate performance / fail), NEG3 (-3 / unacceptable performance), P (Passed / approved without numeric grade), and NP (Not passed / not approved without numeric grade) carry no grade points and are left out of the average. Of those, P still earn credit toward the degree.
Repeat handling is not published as a rule this calculator can apply automatically, so retaken courses need to be checked against the current catalog.
Your CGPA is weighted by every credit you have already completed, so a single semester moves it less the further along you are. Fifteen credits added to sixty already completed is a fifth of your record; the same fifteen added to a hundred and twenty is an eighth of it. Use the calculator at the top of this page with your real completed-credit total rather than estimating the movement.
No. GPAWorld is an independent tool and is not affiliated with or endorsed by Aarhus University. The grading data on this page was taken from Aarhus University - Assessment and conversion of grades, Aarhus University - Average marks for courses of relevance for admission, and Aarhus University - Grading scale and last verified on 2026-07-22; every source is linked on this page so you can check it yourself. Your registrar's record is always the authority.
Judgement calls and caveats recorded when this grading configuration was built from the official sources. They are published so you can see exactly what the calculator assumes.
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