Math & School

High school average calculator

A high school diploma grade is derived from the total points in the range of 300 to 900 using the usual conversion formula.

Updated on Apr 21, 2026 Calculator, calculation path and examples on one page

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Calculator

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Calculation path

Step by step

  1. Take total points

    Result: 780 points

  2. Convert grade

    Formula: 5.6667 - points / 180

    Values inserted: 5,6667 - 780 / 180

    Result: 1.3

  3. Average per contribution

    Formula: Total points / 60

    Result: 13.00 points

Instructions

How to use this calculator correctly

Input

  • Enter your total points from the Abitur certificate or the preliminary calculation.

Read the result

  • The Abitur grade is an approximation.
  • The official certificate is always crucial for applications.

Note

  • If your state uses different rules, check the conversion with your school.

Related guide: Solve the rule of three, percentage calculations and fractions in an understandable way

Examples

Typical calculations

FAQ

Frequently asked questions

What range of points is possible?

As a rule, the total points are between 300 and 900.

Is the formula identical in every federal state?

The usual conversion formula is widely used, but details may vary depending on the examination regulations.

Can I pass with less than 300 points?

No. If you score less than 300 points, the Abitur is generally considered to have been failed.

Why does the calculator stop at 1.0?

A grade better than 1.0 will not be awarded in the Abitur certificate.

What is the average number useful for?

It shows how many points you have achieved on average per contribution.

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Sources and notes

Rule status and context

Formula
Abitur grade ≈ 5.6667 - total points / 180, limited to the range 1.0 to 4.0.