AQA A-level FURTHER MATHEMATICS 7367/2 Paper 2 Question Paper + Mark scheme (Merged) GRADE A+

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AQA A-level FURTHER MATHEMATICS 7367/2 Paper 2 Question Paper + Mark scheme (Merged) June 2021 Version: 1.0 Final 7367/2 PB/Jun21/E6 (JUN217367201) A-level FURTHER MATHEMATICS Paper 2 Time ... allowed: 2 hours Materials l You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics. l You should have a scientific calculator that meets the requirements of the specification. (You may use a graphical calculator.) 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 require 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 Do not write outside the box around each page or on blank pages. l Show all necessary working; otherwise marks for method may be lost. l Do all rough work in this book. Cross through any work 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 1 2 3 4 5 6 7 8 9 10 11 12 13 TOTAL I declare this is my own work. 2 Answer all questions inthespacesprovided. 1 Which ofthefollowingmatricesissingular? Circle youranswer. [1 mark] 1 0 0 1   1 1 2 2   0 1 1 0   1 2 1 2   2 Find arg(4  7i) tothenearestdegree. Circle youranswer. [1 mark] 120 60 30 60 Jun21/7367/2 Do notwrite outside the box (02) 3 3 The line L has equation r ¼ 3 2 0 2 64 3 75 þ l 1 2 5 2 64 3 75 Which ofthefollowinglinesisperpendiculartotheline L? Tick (3) one box. [1 mark] r ¼ 2 3 4 2 64 3 75 þ m 1 2 5 2 64 3 75 r ¼ 1 0 1 2 64 3 75 þ m 2 3 1 2 64 3 75 r ¼ 1 2 1 2 64 3 75 þ m 1 1 2 2 64 3 75 r ¼ 0 3 2 2 64 3 75 þ m 4 3 2 2 64 3 75 Turn overforthenextquestion Do notwrite outside the box Jun21/7367/2 Turn over s (03) 4 4 (a) Show that (r þ 1)2  r 2 ¼ 2r þ 1 [1 mark] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 4 (b) Use themethodofdifferencestoshowthat Xn r¼1 (2r þ 1) ¼ n2 þ 2n [3 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Do notwrite outside the box Jun21/7367/2 (04) 5 4 (c) Verify thatusingtheformulafor Pn r¼1 r gives thesameresultasthatgiveninpart (b). [3 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Do notwrite outside the box Jun21/7367/2 Turn over s (05) 6 5 The equation z3 þ 2z2  5z  3 ¼ 0 has roots a, b and g Find acubicequationwithroots 1 2 a  1, 1 2 b  1 and 1 2 g  1 [5 marks] [Show More]

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