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Pearson Edexcel Level 3 GCE.,.Further Mathematics Advanced Subsidiary Further Mathematics options 21: Further Pure Mathematics 1 (Part of options A, B, C and D).

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Candidates may use any calculator allowed by Pearson regulations. Calculators must not have the facility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulae st ...

Candidates may use any calculator allowed by Pearson regulations. Calculators must not have the facility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulae stored in them. Instructions • Use black ink or ball‑point pen. • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). • Fill in the boxes at the top of this page with your name, centre number and candidate number. • Answer all questions and ensure that your answers to parts of questions are clearly labelled. • Answer the questions in the spaces provided – there may be more space than you need. • You should show sufficient working to make your methods clear. Answers without working may not gain full credit. • Inexact answers should be given to three significant figures unless otherwise stated. Information • A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. • The total mark for this part of the examination is 40. There are 5 questions. • The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Advice • Read each question carefully before you start to answer it. • Try to answer every question. • Check your answers if you have time at the end. • Good luck with your examination. You must have: Mathematical Formulae and Statistical Tables (Green), calculator Further Mathematics Advanced Subsidiary Further Mathematics options 21: Further Pure Mathematics 1 (Part of options A, B, C and D) 8FM0/212 *P66658A0220* 1. Use algebra to determine the values of x for which x x x x ( ) −1 > −1 giving your answer in set notation. (6) __________________________________ 2. The variables x and y satisfy the differential equation dd dd 2 2 y 15 3 2 2 x yx + − y x = where y = 1 at x = 0 and where y = 2 at x = 0.1 Use the approximations d d and d d 2 2 1 1 2 2 y x y y y h yx n n n n n   ( ) − +    + − ≈ ≈ yy h ( ) n n + − 1 1 − 2 with h = 0.1 to find an estimate for the value of y when x = 0.3

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