The EU project ‘Assess Inquiry in Science, Technology and Mathematics Education’ investigates formative and summative assessment methods to support and improve inquiry-based approaches in European science, technology and mathematics (STM) education. In the first step of the project, a literature review was conducted in order to gather information about the current state of the art in formative and summative assessment in inquiry-based education (IBE) in STM. Searches were conducted in data bases, in the most important journals in the field of STM education, and in the reference lists of relevant publications. This report describes the search strategies used in detail and presents the results of the empirical studies described in the found publications in this field. Especially in science education, numerous publications were found by the search strategies whereas in technology and mathematics education the numbers of publications are much lower. On the one hand, the chosen keywords and search strategies might be a reason. On the other hand, the research foci of the disciplines might be another reason.