TUM GPA Calculator
Calculate your equivalent German academic grade for the Technical University of Munich (TUM) using the Modified Bavarian Formula.
This calculator strictly implements the Modified Bavarian Formula as utilized by the Technical University of Munich (TUM) and uni-assist. Always check the specific conversion or grading requirements of the university or program to which you are applying.
Enter Grading Scale & Score
Highest attainable grade
Lowest passing mark
Your actual achieved grade
How the Modified Bavarian Formula Works
The modified Bavarian formula (modifizierte bayerische Formel) is the official mathematical standard adopted by the Standing Conference of the Ministers of Education and Cultural Affairs (KMK) and German universities, including TUM, to map foreign educational achievements onto the German 1.0–4.0 grading system.
Nmax = Maximum possible grade in the foreign grading system (e.g. 10.0 for Indian CGPA, 4.0 for US GPA, 100 for percentage).
Nmin = Minimum passing grade in the foreign grading system (e.g. 4.0 for Indian CGPA, 2.0 for US GPA, 40 for percentage).
Nd = The grade or CGPA obtained by the student in their original academic grading scale.
German universities such as the Technical University of Munich (TUM) truncate calculated grades after the first decimal place instead of rounding mathematically (e.g., a calculated 1.75 truncates to 1.7 rather than rounding to 1.8).
German Grading Scale Reference Band
German university grading follows a 5-tier classification structure where lower numerical values represent superior academic achievement:
| German Grade | German Term | English Equivalent | Performance Level |
|---|---|---|---|
| 1.0 – 1.5 | Sehr gut | Very Good | Outstanding achievement |
| 1.6 – 2.5 | Gut | Good | Significantly above average requirements |
| 2.6 – 3.5 | Befriedigend | Satisfactory | Average requirements fulfilled |
| 3.6 – 4.0 | Ausreichend | Sufficient | Minimum passing criteria met |
| > 4.0 (5.0) | Nicht ausreichend | Fail / Insufficient | Performance does not meet minimum standards |
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TUM Formula FAQ
The Technical University of Munich (TUM) uses the Modified Bavarian Formula to convert your foreign grades to the German grading scale. The formula is: German Grade = 1 + 3 × ((Nmax - Nd) / (Nmax - Nmin)). The final grade is truncated after the first decimal place.
The Modified Bavarian Formula is the mathematical standard adopted by the Standing Conference of the Ministers of Education and Cultural Affairs (KMK) in Germany. It maps grades from an international grading system to the German 1.0 (best) to 4.0 (lowest passing) scale.
To convert your Indian or US GPA for TUM, you need your maximum possible grade (Nmax, e.g., 10.0 for India, 4.0 for US), the minimum passing grade (Nmin, e.g., 4.0 or 5.0 for India, 2.0 for US), and your obtained grade (Nd). Plug these into the Bavarian formula and truncate the result to one decimal place.