Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary PAPER 1 Core Pure Mathematics M

PleaseDcheckDtheDexaminationDdetailsDbelowDbeforeDenteringDyourDcandidateDinformati
on
CandidateDsurname OtherDnames

CentreDNumber CandidateD Number
Pearson Edexcel D D



Level 3 GCE D D




TimeD 1DhourD40Dminutes
PaperDre
ference 8FM0/01
Further Mathematics D



Advanced Subsidiary D


PAPER 1: Core Pure Mathematics D D D D




YouDmustDhave: TotalDMarks
MathematicalD FormulaeD andD StatisticalD TablesD (Green),D calculator


CandidatesDmayDuseDanyDcalculatorDallowedDbyDPearsonDregulations.DCalculato
rsDmustDnotDhaveDtheDfacilityDforDsymbolicDalgebraDmanipulation,DdifferentiationD
andD integration,D orD haveD retrievableD mathematicalD formulaeDstoredDinDthem.
Instructions

•• Use black ink or ball‑point pen.
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If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).c
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• entre number
Fill in theD andatcandidate
boxes D the top ofnumber.
this page with your name,
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Answer all questions and ensure that your answers to parts of questions are clearly
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• labelled. D D D D D D D D D D D D D




• Answer the questions in the spaces provided
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– there may be more space than you need.
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• You should show sufficient working to make your methods clear. Answers withoutwork
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ing may not gain full credit.
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• Inexact answers should be given to three significant figures unless otherwise stated.
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Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
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are 9 questions in this question paper. The total mark for this paper is 80.
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marks for each question are shown in brackets
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– use this as a guide as to how much time to spend on each question.
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Advice
• Read each question carefully before you start to answer it.
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• Try to answer
Check your answers
D if you have time at the end.
every question.
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• Good luck with your examination.
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TurnDover


P66790A
©2021D PearsonD EducationD Ltd.
1/1/1/1/

, D0 1 D1 0
 QD =D 
D0 3
PD =D 
D1 0
1.

(a) (i)D DescribeDfullyDtheDsingleDgeometricalDtransformationDPDrepresentedDbyDtheDmatrixDP.
(ii) DescribeDfullyDtheDsingleDgeometricalDtransformationDQDrepresentedDbyDtheDmatrixDQ.
(4)
TheDtransformationDPDfollowedDbyDtheDtransformationDQDisDtheDtransformationDR,DwhichD
isDrepresentedDbyDtheDmatrixDR.

(b) DetermineDR.
(1)
(c) (i)D EvaluateDtheDdeterminantDofDR.
(ii) ExplainDhowDtheDvalueDobtainedDinD(c)(i)DrelatesDtoDtheDtransformationDR.
(2)




2

,QuestionD1Dcontinue
d




(TotalDforDQuestionD1DisD7Dmarks
)
3
TurnDover

, 2. TheDcubicDequation

9x3D–D5x2D+D4xD+D7D=D0

hasDrootsDα,DβDandDγ.
WithoutDsolvingDtheDequation,DfindDtheDcubicDequationDwhoseDrootsDareD(3αD–D2),D(3βD–
D 2)DandD (3γD –
3 2
D 2),D givingD yourD answerD inD theD formD aw D +D bw D +D cwD +D dD =D 0,D whereD a,D b,D cD andD dD
areDint
egersDtoDbeDdetermined.
(5)




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