In Denmark, the educational system has historically used a number of different systems of grading student performances, several of which are described below. The current grading system is the 7-trins-skala (7-step-scale) which replaced the 13-skala in 2006.
Starting with the academic year 2005-06, a new scale was introduced, 7-trins-skalaen ("7-step-scale"; colloquially dubbed the 12-scale), designed to be compatible with the ECTS-scale:
The leading 0 in 00 and 02 is used to prevent fraud with grades.
Furthermore, Undervisningsministeriet (the Ministry of Education) will adapt to a more international way of grading, by handing out a set number of grades per class. This is because in other countries, the grade A (12) is given twice as often as it is in Denmark (because of strict grading on absolute standards).
The Latin scale had five steps:
0 was an outright failing grade - there was a limitation of the number of non contemendus there could be in a passing student's examination. The highest grade, laudabilis præ ceteris was explicitly named a grade for exceptional purposes only.
The first version of the Ørsted scale had six steps:
A student could not pass an exam if he/she had got mdl in Danish essay or Latin or slet in Latin essay.
In 1845 the numeral values were added in order to enable the calculation of an average grade - also the g was named the minimum passing grade.
In 1871 the Ørsted scale was extended with plus and minus-steps, and numeral values were added accordingly.
The g was still the minimum passing grade.
In 1903 the Ørsted-scale was scrapped for a numeral one, with five steps:
8 and 0 were – like laudabilis præ ceteris – exceptional grades. You would fail if you had two or more zeroes in your exam.
In 1911 another numeral scale was introduced:
4 was the minimum passing grade.
In 1919 the extended Ørsted scale returned, with numerals.
This version, introduced in 1943, changed the numerals (essentially by adding 7 to the former numbers) and removed the mdl−- and slet+-grades:
The 13-scale was introduced in 1963 and used until 2006 (2007 in universities). The scale started out as a relative scale but has since its introduction in 1963 changed to an absolute scale at all levels of education.