Mathematics > QUESTIONS & ANSWERS > AQA A-level MATHEMATICS 7357/2 Paper 2 Question Paper + Mark scheme (Merged) GRADE A+ (All)

AQA A-level MATHEMATICS 7357/2 Paper 2 Question Paper + Mark scheme (Merged) GRADE A+

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AQA A-level MATHEMATICS 7357/2 Paper 2 Question Paper + Mark scheme (Merged) June 2021 Version: 1.0 Final 7357/2 PB/Jun21/E6 (JUN217357201) A-level MATHEMATICS Paper 2 Time allowed: 2 hours 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 100. 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 123456789 10 11 12 13 14 15 16 17 18 19 TOTAL I declare this is my own work. 2 Section A Answer all questions inthespacesprovided. 1 Four possiblesketchesof y ¼ ax2 þ bx þ c are shownbelow. Given b2 4ac ¼ 0 and a, b and c are non-zeroconstants,whichsketchistheonly one thatcouldpossiblybecorrect? Tick (3) one box. [1 mark] x y A B y x C x y D y x Jun21/7357/2 Do notwrite outside the box (02) 3 2 A curvehasequation y ¼ f (x) The curvehasapointofinflectionat x ¼ 7 It isgiventhat f 0(7) ¼ a and f 00(7) ¼ b , where a and b are realnumbers. Identify whichoneofthestatementsbelowmustbetrue. Circle youranswer. [1 mark] f 0(7) 6¼ 0 f 0(7) ¼ 0 f 00(7) 6¼ 0 f 00(7) ¼ 0 3 A sequenceisdefinedby u1 ¼ a and unþ1 ¼ 1 un Find P95 n¼1 un Circle youranswer. [1 mark] a 0 a 95a Turn overforthenextquestion Do notwrite outside the box Jun21/7357/2 Turn over s (03) 4 4 Figure1 shows thegraphof y ¼ j2xj Figure 1 O x y 4 (a) On Figure 1 add asketchofthegraphof y ¼ j3x 6j [2 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 4 (b) Find thecoordinatesofthepointsofintersectionofthetwographs. Fully justifyyouranswer. [4 marks]

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