1 (a) Claudia asks some students to choose their favourite science from biology, chemistry and physics. The pie chart shows the results. Biology 45° Chemistry 225° Physics (i) Find the percentage of students who choose chemistry. ..............................................% [1] (ii) Find the fraction of students who choose physics. Give your answer in its simplest form. ................................................. [2] (iii) For the number of students choosing each subject, find the ratio biology : chemistry : physics. Give your answer in its simplest form. ....................... : ....................... : ....................... [2] (iv) Marcus says: ‘I do not know how many people choose chemistry, but I do know it is an even number.’ Explain how Marcus knows this. ............................................................................................................................................. [1] (v) Claudia now tells Marcus that 26 students choose chemistry. Work out how many students choose physics. ................................................. [2] © UCLES 2023 0580/33/M/J/23 3 (b) The Venn diagram shows information about the number of students in a class who study geography (G) and history (H). (cid:31) G H 5 9 10 4 (i) Work out the number of students in the class. ................................................. [1] (ii) Find n(G). ................................................. [1] (iii) One of the students is chosen at random. Find the probability that this student studies geography and history. ................................................. [1] (iv) One of the students who studies geography and history stops studying history. Complete this Venn diagram to show this change. (cid:31) G H [1] © UCLES 2023 0580/33/M/J/23 [Turn over 4