Centre NumberCandidate NumberWrite your name hereSurnameOther namesTotal MarksPaper ReferenceCalculators may NOT be used in this examination. Instructions•Use black ink or ball-point pen.•I f pencil is used for diagrams /sketches /graphs it must be dark (HB or B). Coloured pencils and highlighter pens must not be used.•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.Information•The total mark for this paper is 75.•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.You must have:Mathematical Formulae and Statistical Tables (Pink)*P51518A0132*P51518A©2018 Pearson Education Ltd.1/1/1/1/1/1/1/Wednesday 16 May 2018 – MorningTime: 1 hour 30 minutes6663/ 01Core Mathematics C1Advanced SubsidiaryPearson Edexcel GCETurn over www.mymathscloud.com
DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREALeave blank2*P51518A0232*DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA1.(i)Simplify4863−Write your answer in the form a3, where a is an integer to be found.(2)(ii)Solve the equation36 x – 3=81Write your answer as a rational number. (3)______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________www.mymathscloud.com
Leave blank3*P51518A0332*Turn overDO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAQuestion 1 continued______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Q1(Total 5 marks)www.mymathscloud.com
DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREALeave blank4*P51518A0432*DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA2.Givenyxxx=−+364,>0(a)find yxd∫, simplifying each term.(3)(b)(i)Find ddyx(ii)Hence find the value of x such that ddyx=0(4)_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________www.mymathscloud.com
Leave blank5*P51518A0532*Turn overDO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREAQuestion 2 continued______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________Q2(Total 7 marks)www.mymathscloud.com
DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREALeave blank6*P51518A0632*DO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREADO NOT WRITE IN THIS AREA3.f( x )=x 2–10x+23 (a) Expressf( x )intheform( x+a )2+b, where a and b are constants to be found.(2)(b)Hence, or otherwise, find the exact solutions to the equationx 2–10x+23=0(2)(c)Use your answer to part (b) to find the larger solution to the equationy–10y0.5+23=0Write your solution in the form pqr+, where p, q and r are integers.(2)___________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________www.mymathscloud.com
