Copyright©2022UniAdmissions.Allrightsreserved.
FirstEdition
PaperbackISBN978-1-915091-58-1
HardcoverISBN978-1-915091-60-4
Nopartofthispublicationmaybereproduced,storedortransmittedinany
formorbyanymeans,electronicormechanical,includingphotocopying,
recording,orbyanyinformationretrievalsystemwithoutthepriorwritten
permissionofthepublisher.Thispublicationmaynotbeusedinconjunction
withortosupportanycommercialundertakingwithoutthepriorwritten
permissionofthepublisher.
PublishedbyRARMedicalServices
www.uniadmissions.co.uk
Tel:+44(0)2080680438-
ThisbookisneithercreatednorendorsedbyCambridgeAssessment.The
authorsandpublisherarenotaffiliatedwithCambridgeAssessment.The
informationofferedinthisbookispurelyadvisoryandanyadvicegivenshould
betakenwithinthiscontext.Assuch,thepublishersandauthorsacceptno
liabilitywhatsoeverfortheoutcomeofanyapplicant’sTMUAperformance,
theoutcomeofanyuniversityapplicationsorforanyotherloss.Although
everyprecautionhasbeentakeninthepreparationofthisbook,thepublisher
andauthorassumenoresponsibilityforerrorsoromissionsofanykind.
Neitherisanyliabilityassumedfordamagesresultingfromtheuseof
informationcontainedherein.Thisdoesnotaffectyourstatutoryrights.
37
4.Findthelowest
commonmultipleof
72and48
4.LCMof72and48is144
7223×𝟑𝟐
48𝟐𝟒×3
𝐿𝐶𝑀24×32144
Therearetenrulesofindices,whichcanbecombinedtosimplify
complexfunctions.
Tosimplifyexpressionsexpandandthencollectliketerms.
5.Simplify𝒘𝒙𝟐√𝒚𝟒
𝟑
(𝒘𝒙𝒚)−(𝟏
𝟐)
5.𝑤
3
2𝑥
5
2𝑦
5
6
(𝑤𝑥2√𝑦4
3)(𝑤𝑥𝑦)
1
2
(𝑤𝑥2𝑦43)(𝑤1
2𝑥
1
2𝑦
−
1
2)
𝑤
3
2𝑥
5
2𝑦
5
6
Todocalculationsinstandardformwithoutacalculatorconvert
bothnumberstohaveacommonpowerof10,andthentheycan
becombinedasnormal.
Thecommonpowerof10mightnotbethe‘correct’standardformversion
ofthenumber,butthat’sokayaslongasitisthesameforallthenumbers
beingcombined.
Ifyoucan’tremembertherulesofindicesyoucanfindthemall
onpage257!
45
AuthorsNote:Allofthesetopicoverlapsignificantlywiththemoreadvancedmaths
includedinthespecificationinthesectionsonAlgebra&Functions,Sequencesand
Series,CoordinateGeometry,andGraphsofFunctions(startingonpages257,295,
314,and416).Asaresult,we’veincludedlimitednotesinthisknowledgecheck
section,andexpandedthesenotesconsiderablyintherespectivespecialisedsection.
Ifyoucan’tcompleteanyofthesequestions,checkthenotesandcomebackto
them!
SpecificationChecklist:Algebra
Understandwhatthelettersymbolsinalgebrarepresentandhow
tosubstituteintoaformula.
Simplifyingbycollectingliketerms,expandingbrackets,and
factorising
Usingindexlaws
Setupandsolvelinearequationsandsimultaneousequations
Simplifyandsolvequadraticexpressions
Understandandusedirectandindirectproportion
Simplifyandsolveinequalities
Deriveandusesequencesandsequencedefinitions
Equationsofstraightlines,andthesignificanceofgraphical
interpretationsandpointsofintersectionwhensolving
Recognisecommongraphs,andinterpretgraphsmodellingreal
situations