Official June 2024 AQA A-level MATHEMATICS 7357/2 Paper 2 Merged Question Paper + Mark Scheme Ace your Mocks!!! G/LM/Jun24/G4005/E7 7357/2 (JUN247357201) A-level MATHEMATICS Paper 2 Tuesday 11 June 2024 Afternoon Time allowed: 2 hours Materials l You must have the AQA Formulae for A‑level Mathematics booklet l You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions l Use black ink or black ball-point pen. Pencil should only be used for drawing. l Fill in the boxes at the top of this page. l Answer all questions. l You must answer each question in the space provided for that question. l If you need extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s). l Do not write outside the box around each page or on blank pages. l Show all necessary working; otherwise marks for method may be lost. l Do all rough work in this book. Cross through any work that you do not want to be marked. Information l The marks for questions are shown in brackets. l The maximum mark for this paper is 100. Advice l Unless stated otherwise, you may quote formulae, without proof, from the booklet. l You do not necessarily need to use all the space provided. For Examiner’s Use Question Mark 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 TOTAL Please write clearly in block capitals. Centre number Candidate number Surname _________________________________________________________________________ Forename(s) _________________________________________________________________________ Candidate signature _________________________________________________________________________ I declare this is my own work. 2 Do not write outside the box (02) G/Jun24/7357/2 Section A Answer all questions in the spaces provided. 1 One of the equations below is the equation of a circle. Identify this equation. [1 mark] Tick () one box. (x + 1)2 – (y + 2)2 = –36 (x + 1)2 – (y + 2)2 = 36 (x + 1)2 + (y + 2)2 = –36 (x + 1)2 + (y + 2)2 = 36 3 Do not write outside the box (03) G/Jun24/7357/2 Turn over U 2 The graph of y = f(x) intersects the x-axis at (–3, 0), (0, 0) and (2, 0) as shown in the diagram below. y x A B –3 2 The shaded region A has an area of 189 The shaded region B has an area of 64 Find the value of ∫ 2 –3 f(x) dx Circle your answer. [1 mark] –253 –125 125 253 Turn over for the next question