A-level MATHEMATICS Paper 2 June 2023

A-level MATHEMATICS Paper 2 Tuesday 13 June 2023 Afternoon Time allowed: 2 hours Materials  You must have the AQA Formulae for A‑level Mathematics booklet.  You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes at the top of this page.  Answer all questions.  You must answer each question in the space provided for that question.  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).  Do not write outside the box around each page or on blank pages.  Show all necessary working; otherwise marks for method may be lost.  Do all rough work in this book. Cross through any work that you do not want to be marked. Information  The marks for questions are shown in brackets.  The maximum mark for this paper is 100. Advice  Unless stated otherwise, you may quote formulae, without proof, from the booklet.  You do not necessarily need to use all the space provided. PB/KL/Jun23/E6 7357/2 Section A Answer all questions in the spaces provided. 1 The graph of y ax2 bx c has roots x 2 and x 5 , as shown in the diagram below. box y O 2 5 x State the set of values of x which satisfy ax2 þ bx þ c > 0 Tick (3) one box. fx : x < 2g ¨ fx : x > 5g fx : 0 < x < 2g ˙fx : x > 5g fx : 2 < x < 5g fx : 2 > x > 5g [1 mark] 2 It is given that ð 3