MATHEMATICS Paper 2

A-level MATHEMATICS Paper 2 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. (JUN) PB/Jun22/E7 7357/2 Section A Answer all questions in the spaces provided. 1 A circle has centre (4, —5) and radius 6 Find the equation of the circle. Tick (3) one box. (x — 4)2 þ (y þ 5)2 ¼ 6 (x þ 4)2 þ (y — 5)2 ¼ 6 (x — 4)2 þ (y þ 5)2 ¼ 36 (x þ 4)2 þ (y — 5)2 ¼ 36 [1 mark] box 2 State the value of Circle your answer. lim h ! 0 sin (p þ h) — sin p h [1 mark] cos h —1 0 1 3 The function f is concave and is represented by one of the graphs below. Identify the graph which represents f . Tick (3) one box. [1 mark] box y y O x O x y y O x O x Turn over 4 38° B A 8.7 cm 6.1 cm C box The diagram shows a triangle ABC. AB is the shortest side. The lengths of AC and BC are 6.1 cm and 8.7 cm respectively. The size of angle ABC is 38° Find the size of the largest angle. Give your answer to the nearest degree. [3 marks] Turn over for the next question box DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED Turn over 5 The binomial expansion of (2 þ 5x)4 is given by outside the box (2 þ 5x)4 ¼ A þ 160x þ Bx2 þ 1000x3 þ 625x4 5 (a) Find the value of A and the value of B.