EDEXCEL GCSE MATHS HIGHER PAPER 3 JUNE 2023 CALCULATOR.

EDEXCEL GCSE MATHS HIGHER PAPER 3 JUNE 2023 CALCULATOR. *P75152A0124* Turn over   Please check the examination details below before entering your candidate information Candidate surname Other names Centre Number Candidate Number Pearson Edexcel Level 1/Level 2 GCSE (9–1) Wednesday 14 June 2023 Morning (Time: 1 hour 30 minutes) 1MA1/3H Paper reference Total Marks Mathematics PAPER 3 (Calculator) Higher Tier You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator, Formulae Sheet (enclosed). Tracing paper may be used. Instructions • Use black ink or ball-point pen. • Fill in the boxes at the top of this page with your name, centre number and candidate number. • Answer all questions. • Answer the questions in the spaces provided – there may be more space than you need. • You must show all your working. • Diagrams are NOT accurately drawn, unless otherwise indicated. • Calculators may be used. • If your calculator does not have a π button, take the value of π to be 3.142 unless the question instructs otherwise. Information • The total mark for this paper is 80 • The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Advice • Read each question carefully before you start to answer it. • Try to answer every question. • Check your answers if you have time at the end. P75152A ©2023 Pearson Education Ltd. N:1/1/1/1/1/1/ *P75152A0224* D O N O T W RIT E IN T HIS A R E A D O N O T W RIT E IN T HIS A R E A D O N O T W RIT E IN T HIS A R E A DONOTWRITEINTHISAREADONOTWRITEINTHISAREADONOTWRITEINTHISAREA2   Answer ALL questions. Write your answers in the spaces provided. You must write down all the stages in your working. 1 (a) Simplify (m 2 ) 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1) (b) Simplify x 5 × x 8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1) (c) Expand 4p ( p 2 + 3p) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (2) (Total for Question 1 is 4 marks) *P75152A0324* Turn over 3  D O N O T W RIT E IN T HIS A R E A D O N O T W RIT E IN T HIS A R E A D O N O T W RIT E IN T HIS A R E A D O N O T W RIT E IN T HIS A R E A D O N O T W RIT E IN T HIS A R E A D O N O T W RIT E IN T HIS A R E A 2 Jonny wants to know how much coffee he will need for 800 people at a meeting. Each person who drinks coffee will drink 2 cups of coffee. 10.6 g of coffee is needed for each cup of coffee. Jonny assumes 68% of the people will drink coffee. (a) Using this assumption, work out the amount of coffee Jonny needs. Give your answer correct to the nearest gram. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . g (4) Jonny’s assumption is wrong. 72% of the people will drink coffee. (b) How does this affect your answer to part (a)? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . (1) (Total for Question 2 is 5 marks) *P75152A0424* D O N O T W RIT E IN T HIS A R E A D O N O T W RIT E IN T HIS A R E A D O N O T W RIT E IN T HIS A R E A DONOTWRITEINTHISAREADONOTWRITEINTHISAREADONOTWRITEINTHISAREA4   3 ACF and ADG are straight lines. BCD and EFG are parallel lines. A B C D E F G 110° 125° Show that triangle ACD is isosceles. Give a reason for each stage of your working.