Assess the ability to apply Item Response Theory to design and validate a computerized adaptive test for secondary school mathematics, including selecting appropriate IRT models (1PL/2PL/3PL), estimating and calibrating item parameters, constructing and balancing an item bank, implementing item selection and exposure-control algorithms, determining stopping rules, conducting simulation studies, evaluating model fit and DIF, and designing validation and standard-setting procedures using real or simulated datasets. Tasks require practical application of estimation and simulation software, interpretation of psychometric outputs, and formulation of evidence-based recommendations for implementation and score reporting.