Foto (v.l.n.r): MNStudio/, photodeti/, auremar/, Diego Cervo/

National Assessment Study in Mathematics and Science 2012 (IQB-LV 2012)

Research Question

The National Assessment Study in Mathematics and Science 2012 (IQB-Ländervergleich Mathematik und Naturwissenschaften 2012) is a nationwide large-scale assessment. The study was designed to assess students’ achievement in mathematics, biology, chemistry and physics and to evaluate to which extent they meet educational standards in the German Länder.

Test Language


Test Period


Test Area


Target Persons

Students in grade 9

Context Persons

Students, parents, teachers, principals

Population / Sample

In the National Assessment Study 2012, the tested sample is supposed to represent the population of students in the 9th grade as precisely as possible.

The sampling was carried out in several steps. In a first step a school sample was drawn within each federal state. In each state the schools were assigned to one of three drawing layers, namely special needs schools, grammar schools and a third layer, that included all school types. In the explicit layers a predetermined number of schools was drawn each, whereby the drawing probability was proportional to the size of the 9th grade at the school.

In the second step of the sampling in each school a random sample of classes of the 9th grade was carried out for the participation at the study. Assuming that classes at grammar schools are more similar to each other than at other types of school, for grammar schools one class each was included in the testing, in schools of other types there were two each. In the selected classes all pupils should participate in the testing. The number of special needs schools in the sample was set to four per federal state. As that in each special needs school all pupils of the 9th grade, which spread over up to three classes, participated in the study.

Sample Size

n= circa 44,500 students

Survey Procedure and Instruments

In mathematics, all general competencies and content areas were tested and averaged to obtain a global score of mathematics proficiency. In Science, in turn, only the two content areas “content knowledge” and “scientific inquiry” were assessed for biology, chemistry and physics.

In addition to achievement tests, the study used questionnaires for students, parents, teachers and principals to assess curricular and extracurricular learning opportunities and to investigate which structures can be used to optimize learning processes. Indicators of the students’ reading abilities and basic cognitive abilities were also assessed.

Link to the Detailed Description of the Study

Persistent Identifier

DOI: 10.5159/IQB_LV_2012_v1

Data Accessible via Research Data Centre

Link to the Study Documentation at the FDZ at the IQB:

Information about the using conditions can be found here:


Monika Lacher
FDZ Secretary
Phone: +49 30 / 20 93 - 465 52
Email: fdz[at]

Related Data

National Assessment Study / language skills 2008/2009 (IQB-LV 2008-9)
National Assessment Study in Primary Schools 2011 (IQB-LV 2011)

Research Area(s)