6 (a) This is a recipe to make ice cream for 6 people. 270 ml cream 270 ml milk 100 g sugar 4 egg yolks T om makes ice cream for 10 people. (i) Work out how much milk he uses. ............................................ ml [2] (ii) The mass of all the ingredients Tom uses is 1100 g. After Tom heats the mixture, this mass reduces by 15%. Find the mass of the mixture after heating. .............................................. g [2] (iii) Tom lets the mixture cool to 5°C. He then puts it into a freezer to cool to -18°C. Find the difference in these temperatures. .............................................°C [1] (b) (i) In a factory, a machine fills 25 920 tubs of ice cream in 8 hours. Work out the number of tubs the machine fills in 1 minute. ................................................. [1] (ii) A pack of ice cream contains 6 tubs. There are 120 packs on a tray. There are 24 trays on a truck. Work out how many tubs of ice cream are on the truck. ................................................. [1] (cid:300)(cid:217)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:183)(cid:256)(cid:215) © UCLES 2024 (cid:300)(cid:232)(cid:174)(cid:243)(cid:214)(cid:288)(cid:263)(cid:300)(cid:231)(cid:267)(cid:242)(cid:248)(cid:218)(cid:243)(cid:183)(cid:260)(cid:294)(cid:258) 0580/31/O/N/24 (cid:293)(cid:277)(cid:197)(cid:277)(cid:245)(cid:277)(cid:293)(cid:213)(cid:245)(cid:277)(cid:229)(cid:197)(cid:197)(cid:245)(cid:229)(cid:213)(cid:245)(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 * 0000800000013 * 13 (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:4)(cid:44) (c) Mario sells ice creams in five flavours. The table shows the relative frequency of some of the ice cream flavours Mario sells. Vanilla Chocolate Strawberry Coconut Banana Relative 0.34 0.18 0.12 frequency Mario sells three times as many chocolate ice creams as banana ice creams. (i) Complete the table. [3] (ii) One week Mario sells 450 ice creams. Find how many strawberry ice creams Mario expects to sell. ................................................. [1] (iii) The probability that any customer is an adult is 0.7 . First customer Second customer Adult 0.7 Adult 0.7 ............. Child Adult 0.7 ............. Child ............. Child (a) Complete the tree diagram. [1] (b) Find the probability that the first two customers are adults. ................................................. [2] © UCLES 2024 (cid:300) (cid:300) (cid:219) (cid:232) (cid:266) (cid:173) (cid:174) (cid:244) (cid:288) (cid:206) (cid:180) (cid:298) (cid:237) (cid:267) (cid:200) (cid:284) (cid:245) (cid:210) (cid:207) (cid:237) (cid:298) (cid:255) (cid:197) (cid:177) (cid:266) (cid:254) (cid:224) (cid:267) (cid:252) (cid:291) (cid:183) (cid:260) (cid:256) (cid:278) (cid:215) (cid:258) 0580/31/O/N/24 [Turn over (cid:293)(cid:277)(cid:181)(cid:213)(cid:181)(cid:245)(cid:261)(cid:181)(cid:293)(cid:293)(cid:245)(cid:197)(cid:197)(cid:277)(cid:197)(cid:277)(cid:293)(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 * 0000800000014 * 14 (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:5)(cid:44) NIGRAM