Upper Secondary Grade Calculator
Enter courses with 0 to 15 points – average and grade instantly
- Updated
Your courses
Grade
2.33
2.333 courses average 10 points – that is grade 2.33 (good).
- Point average
- 10
- Number of courses
- 3
- Block I projectedAverage × 40 (KMK agreement, annex 3) – correct once all counted half-year results are in the list
- 400 of 600 points
- Total weight
- 3
How this was calculated
Converting the 15-point system to grades: grade = (17 − points) ÷ 3, from the unrounded point average.
What you can do
Calculate the Abitur grade
Go to the Abitur grade calculator with 400 points in block I
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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
- Courses
- 10 · 9 · 11 · 8 points
- Point average
- 9.50
- Grade from G = (17 − P) / 3
- 2.50
- Courses (advanced counts double)
- 10 · 9 · 9 · 11 · 8 points
- Point average
- 9.40
- Grade from G = (17 − P) / 3
- 2.53
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
How do I convert points into a grade?
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.
Do advanced courses count double?
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.
Does the 15-point system also apply at FOS and BOS?
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.
Why do 15 points not give a grade of 1.0?
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.
How many points do I need to pass a course?
Under the KMK agreement, 4 to 6 points are sufficient (grade 4). Courses below 5 points count as under-threshold, though: to be admitted to the Abitur, at most 20% of the half-year results counted may fall below 5 points, and none may be 0 points (para. 9.5.7). The exact requirements – such as how many courses may fall below the threshold – are set by the regulation of your federal state.