As Mathematics Paper 1

MATHEMATICS Paper 1 Time allowed: 1 hour 30 minutes 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. 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 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 80. 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. Please write clearly in block capitals. Centre number Candidate number Surname ________________________________________________________________________ Forename(s) ________________________________________________________________________ Candidate signature ________________________________________________________________________ For Examiner’s Use Question Mark 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 TOTAL I declare this is my own work. 2 Section A Answer all questions in the spaces provided. 1 Find the coefficient of the x term in the binomial expansion of (3 þ x) 4 Circle your answer. [1 mark] 2 Given that dy dx ¼ 1 x find d2y dx2 Circle your answer. [1 mark] 2 x2 1 x2 1 x2 2 x2 Jun21/7356/1 Do not write outside the box (02) 3 3 The graph of the equation y ¼ 1 x is translated by the vector 3 0 " # 3 (a) Write down the equation of the transformed graph. [1 mark] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 3 (b) State the equations of the asymptotes of the transformed graph. [2 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Turn over for the next question Do not write outside the box Jun21/7356/1 Turn over s (03) 4 4 ABCD is a trapezium where A is the point (1, 2), B is the point (7, 1) and C is the point (3, 4) DC is parallel to AB. AD is perpendicular to AB. 4 (a) (i) Find the equation of the line CD. [2 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 4 (a) (ii) Show that point D has coordinates (1, 2) [3 marks]