Mathematics 0580: SETS Topical Past Paper Questions

(a) Use set notation to describe the shaded region in the Venn diagram. [1] (b) $ \mathcal{E} = \{A, B, E, H, M, O, Q, R, S, U\} $ $ X = \{R, H, O, M, B, U, S\} $ $ Y = \{S, Q, U, A, R, E\} $ (i) Use this information to complete the Venn diagram. (ii) List the elements of $X^{\pr…

Some students are asked if they like football ($F$) or rugby ($R$). The Venn diagram shows the results. **(a)** Find the number of students who do not like rugby. [1] **(b)** Use set notation to describe the region containing students who like rugby but not football. [1]

(a) 120 people teach in a university mathematics department. Some information is shown in the table. One fifth of the people are professors. 30% of the people are part-time. Work out the number of full-time lecturers. [4] (b) $ \mathcal{E} = \{\text{children in a school}\} $ $ F…