2023 AQA AS MATHEMATICS 7356/2 Paper 2 Question Paper & Mark scheme (Merged) June 2023 [VERIFIED]

2023 AQA AS MATHEMATICS 7356/2 Paper 2 Question Paper & Mark scheme (Merged) June 2023 [VERIFIED] AS MATHEMATICS Paper 2 Thursday 25 May 2023 afternoon Time allowed: 1 hour 30 minutes 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 80. Advice Unless stated otherwise, you may quote formulae, without proof, from the booklet. 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 TOTAL PB/KL/Jun23/E4 7356/2 2 Section A Answer all questions in the spaces provided. 1 Simplify log2 8 a Circle your answer. [1 mark] a 3 2a 3a 8a 2 It is given that sin y ¼ 4 5 and 90L < y < 180L Find the value of cos y Circle your answer. [1 mark] 3 3 3 3 4 5 5 4 (02) Jun23/7356/2 Do not write outside the box 3 3 (a) Find ð 2x 3 þ 8 x 2d x [3 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ dy 8 3 (b) A curve has gradient function d x ¼ 2x 3 þ x 2 The x-intercept of the curve is at the point (2, 0) Find the equation of the curve. [2 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Do not write outside the box Turn over s (03) Jun23/7356/2 4 4 Find the exact solution of the equation ln (