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When modelling and measuring domain-specific problem-solving competencies in the context of work, it is important to account for cognitive as well as non-cognitive facets. Yet it is an open question how non-cognitive facets and individual dispositions are interrelated when predicting cognitive problem-solving performance. In a large scale cross-sectional study we investigated the problem-solving competence of N=786 commercial apprentices in the business domain. Three problem scenarios were implemented in a computer-based test environment simulating office work and its requirements. We found a partial mediation of self-concept on the relation between domain knowledge and problem-solving performance. With respect to the interplay of the variables, non-cognitive facets of competence seem to be relevant for the transfer of individual potential into performance.