7 (a) % = {students in a group} M = {students who pass the mathematics test} S = {students who pass the science test} 142 students are in the group. 105 students pass the mathematics test. 82 students pass the mathematics test and pass the science test. 17 students do not pass the mathematics test and do not pass the science test. M S (i) Complete the Venn diagram. [2] (ii) Find n(M,S). ................................................. [1] (iii) One of these students is picked at random. Find the probability that this student passes the science test but does not pass them athematics test. ................................................. [1] (b) A B Use set notation to describe the shaded region. ................................................. [1] (cid:300)(cid:213)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:252)(cid:182)(cid:258)(cid:215) © UCLES 2024 (cid:300)(cid:227)(cid:197)(cid:251)(cid:215)(cid:285)(cid:283)(cid:250)(cid:211)(cid:260)(cid:238)(cid:296)(cid:233)(cid:186)(cid:176)(cid:284)(cid:295)(cid:258) 0580/32/O/N/24 (cid:293)(cid:261)(cid:245)(cid:213)(cid:245)(cid:245)(cid:197)(cid:213)(cid:277)(cid:229)(cid:277)(cid:197)(cid:197)(cid:181)(cid:197)(cid:213)(cid:277)(cid:213) M SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000015 * 15 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44) (c) In a town, the number of students, n, who take the science test is 10 600, correct to the nearest hundred. Complete this statement about the value of n. ................... G n 1 ................... [2] (d) The table shows the number of students in another town who took the science test in 2022 and 2023. Year 2022 2023 Number of students 15 800 17 064 Calculate the percentage increase in the number of students from 2022 to 2023. ..............................................% [2] (e) The number of students who took the mathematics test in 2022 is 18 400. The ratio number of students who passed : number of students who did not pass is 4 : 1. W ork out the number of students who passed. ................................................. [2] (cid:300)(cid:215)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:182)(cid:258)(cid:215) [Turn over © UCLES 2024 (cid:300)(cid:227)(cid:198)(cid:252)(cid:207)(cid:299)(cid:279)(cid:266)(cid:230)(cid:246)(cid:259)(cid:225)(cid:237)(cid:194)(cid:300)(cid:284)(cid:279)(cid:258) 0580/32/O/N/24 (cid:293)(cid:261)(cid:261)(cid:277)(cid:181)(cid:277)(cid:229)(cid:181)(cid:261)(cid:213)(cid:197)(cid:197)(cid:197)(cid:213)(cid:229)(cid:277)(cid:261)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000016 * 16 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44) NIGRAM