Danish Grade Calculator (7-Point Scale)
Calculate your weighted average (Gennemsnit) using Denmark's 7-point scale (7-trins-skalaen). Only these grades exist: 12, 10, 7, 4, 02, 00, -3. Pass mark is 02. ECTS-weighted; grading is absolute (against learning objectives, not peers).
Danish university grading is governed by a unified national standard, the 7-point grading scale (7-trins-skalaen), introduced in 2007 to ensure compatibility with the European ECTS system. The scale is non-linear and designed to prevent grade inflation while maintaining absolute academic standards. Performance is assessed against specific learning objectives, not against other students.
- Grades (discrete only): 12, 10, 7, 4, 02, 00, -3. No other values are used.
- Pass mark: 02. Grades 00 and -3 are fail.
- ECTS: One full year = 60 ECTS (approx. 1,650 student learning hours). 1 ECTS ≈ 27.5 hours at Danish institutions.
- Gennemsnit (GPA): Weighted average = Σ(grade × ECTS) ÷ Σ(ECTS), usually shown with one decimal.
- External examiner (censor): Many exams use an external examiner to ensure national standardization.
- Resits: Usually 3 attempts per course. The original failing grade is replaced by the new passing grade on the final diploma.
The Gennemsnit (GPA) is the weighted arithmetic mean: each grade is multiplied by its ECTS credits, summed, and divided by total ECTS.
Rounding (ministerial rule): If a grade is an average of several partial grades (e.g. written + oral), it is rounded to the nearest grade on the 7-point scale. If exactly halfway, the grade is rounded up if the external examiner awarded the higher grade; if only internal examiners are present, round up to the nearest higher grade.
DTU part-exam rules: For courses with part-exams, (1) the weighted average of part-exams must be at least 02 without rounding up, and (2) no single partial grade can be below 00 (a -3 in any component usually results in a fail).
Failed courses (00 or -3) are replaced by the new grade when you pass a resit; only the passing grade appears on the final diploma, though all attempts may appear on a full transcript.
| Grade | Description (English) | ECTS Equiv. | Meaning |
|---|---|---|---|
| 12 | Excellent | A | High level of command; no/few minor weaknesses. |
| 10 | Very Good | B | High level of command; only minor weaknesses. |
| 7 | Good | C | Good command; some weaknesses. |
| 4 | Fair | D | Some command; some major weaknesses. |
| 02 | Sufficient | E | Performance meets minimum requirements. |
| 00 | Inadequate | Fx | Does not meet minimum requirements (Fail). |
| -3 | Unacceptable | F | Unacceptable in all respects (Fail). |
| Denmark Grade | US Equivalent | US Grade Point (4.0) |
|---|---|---|
| 12 | A+ | 4.0 |
| 10 | A | 4.0 |
| 7 | B | 3.0 |
| 4 | C | 2.0 |
| 02 | D | 1.0 |
| 00 / -3 | F | 0.0 |
There is no official conversion. For UK: 12 ≈ 1st Class, 10 ≈ high 2:1. For USA: 10 is highly competitive for Master's (roughly 3.5–3.8 GPA equivalent).
| Course | ECTS Credits | Grade | Weighted Points |
|---|---|---|---|
| Calculus I | 10 | 12 | 120 |
| Physics I | 10 | 7 | 70 |
| Engineering Design | 5 | 10 | 50 |
| Materials Science | 5 | 02 | 10 |
| TOTAL | 30 | 250 | |
GPA (Gennemsnit) = 250 ÷ 30 = 8.3
Performance is between "Good" (7) and "Very Good" (10).
- GPA (Gennemsnit): The weighted average, usually displayed with one decimal point.
- Diploma Supplement: An English document describing the Danish system and the student's ECTS grades.
- Degree classification: Denmark does not use "Honors" or Cum Laude. A high GPA (e.g. 10+) is the main indicator of strong performance for graduate admission.
The 7-point scale is nationally mandated; assessment methods and weighting (oral vs written, part-exams) vary by institution.
Strict part-exam rules (no 00 in any component)
Pass requirement: 02
Visit website- UFSN – Ministerial Order on the Grading Scale — Ministry of Higher Education and Science
- University of Copenhagen – ECTS and Grading — UCPH
- Aarhus University – Academic Regulations — AU
- DTU – Study Rules and Passing Requirements — Technical University of Denmark
- Fulbright Denmark – US Grading Comparison — Fulbright
Educational guidance only • Always verify official results with your institution