Current for 2026·As of: July 2026

Upper Secondary Grade Calculator Point average and grade.

Enter courses with 0 to 15 points – average and grade instantly

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Upper Secondary Grade Calculator

Calculate your point average and grade in the German 15-point system – for Gymnasium, FOS and BOS.

Courses and points

CoursePointsType

Grade

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Enter points from 0 to 15

The German 15-point system

In the German upper secondary stage, performance is not graded from 1 to 6 but in points from 0 to 15. 15 points is the top result, 0 points means "insufficient". Vocational upper secondary schools (FOS and BOS) use the same scale.

Converting points into a grade follows the nationally uniform formula G = (17 − P) / 3. So 14 points give exactly grade 1.0, 11 points give 2.0 and 5 points give 4.0. There is one special case: at 0 points the formula would return 5.67, but the official conversion table states 6.0 – and the table value applies.

Worked examples

Four courses, equal weighting

Four courses, equal weighting
ItemAmount
Courses10 · 9 · 11 · 8 points
Point average9.50
Grade from G = (17 − P) / 32.50

Same courses with the advanced course counted double

Same courses with the advanced course counted double
ItemAmount
Courses (advanced counts double)10 · 9 · 9 · 11 · 8 points
Point average9.40
Grade from G = (17 − P) / 32.53

What this calculator does not replace

This calculator works out your course or semester average. The final Abitur grade is built from the 900-point block system and uses a different formula – that is what the Abitur grade calculator is for.

Whether advanced courses count double is set by the upper secondary regulation of each federal state. The calculator offers both variants and makes no assumption for you. For a binding calculation, always refer to the regulation that applies in your state.

Frequently asked questions

The 15-point system, weighting and conversion explained

The formula is G = (17 − P) / 3, where P is the number of points from 0 to 15. Examples: 15 points give 0.67, 14 points give exactly 1.0, 11 points give 2.0, 8 points give 3.0, 5 points give 4.0 and 2 points give 5.0. The only exception is 0 points: the formula would return 5.67, but the official conversion table states 6.0.

That depends on the federal state and on the stage of your studies. In the qualification phase many states weight advanced courses double, others do not or only in certain semesters. The calculator offers both variants via the switch. What counts is the upper secondary or Abitur regulation of your state.

Yes. Vocational upper secondary schools also grade in points from 0 to 15 and use the same conversion formula. The differences lie in how semester results are combined and how subjects are weighted, not in the point-to-grade conversion itself.

15 points correspond to a grade of 0.67, which is better than a clean 1.0. This is intentional: the point scale is finer than the grade scale and also captures performance above a clear top grade. Grade 1.0 is reached at exactly 14 points.

A course usually counts as passed from 5 points, which corresponds to grade 4.0 (sufficient). Courses with 0 points count as not taken and may affect your admission. The exact requirements – such as how many courses may fall below the threshold – are set by the regulation of your federal state.

Important note

These calculations are for non-binding information only and do not replace professional tax advice. All information without guarantee. Learn more

Related guides

German Grading Tables

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