Assess students' understanding of basic definitions and examples of sigma-algebras and measurable functions at an introductory graduate level: include the definition and closure properties of sigma-algebras; common examples (power set, discrete sigma-algebra, Borel sigma-algebra); tasks to check whether a given collection is a sigma-algebra; the definition of measurable functions via preimages of measurable sets; and simple examples/verification exercises (indicator functions, continuous maps to R with the Borel sigma-algebra, and measurability tests using generators). Keep tasks elementary and focused on clear conceptual recall and straightforward verification.