AQA AS Level MATHEMATICS Question Paper 1 MAY 2023

AS MATHEMATICS Paper 1 Thursday 18 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. PB/KL/Jun23/E4 7356/1 Section A Answer all questions in the spaces provided. 1 At a point P on a curve, the gradient of the tangent to the curve is 10 State the gradient of the normal to the curve at P Circle your answer. —10 —0.1 0.1 10 [1 mark] box 2 Identify the expression below which is equivalent to 2x —3 Circle your answer. [1 mark] 8x3 125 125x3 8 125 8x3 8 125x3 3 The coefficient of x2 in the binomial expansion of (1 ax)6 is 20 3 outside the box Find the two possible values of a [3 marks]