A LEVEL MATHS ACTUAL EXAM ALL QUESTIONS AND WELL ELABORATED ANSWERS TOP RATED VERSION FOR ALREADY A+ GRADED HIGHLY RECOMMENDED |NEW AND REVISED

A LEVEL MATHS ACTUAL EXAM ALL
QUESTIONS AND WELL ELABORATED
ANSWERS TOP RATED VERSION FOR
ALREADY A+ GRADED HIGHLY
RECOMMENDED |NEW AND REVISED
ifCtwoClinesCareCperpendicular,CwhatCmustCtheirCgradientsCequalCtoCwhenCmultipliedCtogether?C-
CCORRECTCANSWER-1




WhatCisCtheCequationCtoCcalculateCtheCgradientCofCaCline?C-CCORRECTCANSWERy₂-y₁/x₂-x₁



WhatCisCtheCequationCtoCcalculateCtheClengthCofCaCline?C-CCORRECTCANSWER√(y₂−y₁)^2C+C(x₂-x₁)^2



WhatCisCtheCequationCtoCcalculateCtheCmidpointCofCaCline?C-
CCORRECTCANSWER(x₂+x₁)CoverC2C,C(y₂+y₁)CoverC2




WhatCisCtheCequationCofCaCcircle?C-CCORRECTCANSWERx²+y²=r²



HowCdoCyouCfindCtheCmidpointCofCaCcircleCfromCtheCequation?C-CCORRECTCANSWER(x-a)²+(y-b)²=r²



IfCaCfactorCofCaClineCequationCisC(x-2)²,CorCtheClineCequationCisCjustCy=(x-
2)²,ChowCmanyCsolutionsCdoesC(x-2)²CgiveCandCwhatCdoesCthisClookClikeConCaCgraph.C-
CCORRECTCANSWERThisCgivesCjustConeCsolution,CthatCx=2.CThisCmeansCthatCtheClineCjustCtouchesCt


heCxCaxisCatC(2,0).



WhatCdoesCaCx⁴CandCaC-x⁴CgraphClookClike?C-CCORRECTCANSWERAnCx⁴ClooksClikeCaCW

AC-x⁴ClooksClikeCanCupsideCdownCW

, WhatCdoesCanCx³CandCaC-x³CgraphClookClike?C-
CCORRECTCANSWERAnCx³CgraphCappearsCtoCtravelCfromCbottomCleftCtoCtopCrightCwithCtwoCcurves



AC-x³CgraphCappearsCtoCtravelCfromCbottomCrightCtoCtopCleftCwithCalsoCtwoCcurves



HowCdoCyouCfindCtheCmin/maxCpointCofCaCquadratic?C-
CCORRECTCANSWERCompleteCtheCsquare;CtheCxCinCtheCbracketCwillCbeCtheCxCcoordinateCandCtheCn


umberCoutCtheCbracketCwillCbeCtheCyCcoordinate



HowCdoCyouCestablishCthatC(x-3)CforCexample,CisCaCfactorCofCanCequation?C-
CCORRECTCANSWERSubCinC3CforCexample.CIfCitCisCaCfactor,CthereCwillCbeCnoCremainderCandCitCwillCeq


ualC0.



IfCnoCfactorsCofCanCequationCareCgivenCandCyouCareCaskedCtoCfactorise,CwhatCshouldCyouCdo?C-
CCORRECTCANSWERTryCsmallCintegersCusingCsubstitution




HowCdoCyouCquicklyCfindCaCremainderCofCanCequationCgivenCaCfactor?C-
CCORRECTCANSWERSubstituteCinCtheCfactor,CandCthisCwillCequalCtheCremainder




WhatCchangeCdoesCtheCaCinCf(x)C+CaCcauseCtoCaCgraph?C-
CCORRECTCANSWERItCcausesCtheCgraphCtoCmoveCinCtheCdirectionCofCtheCyCaxis




WhatCchangeCdoesCtheCaCinCf(x+a)CcauseCtoCaCgraph?C-
CCORRECTCANSWERItCcausesCtheCgraphCtoCmoveCinCtheCdirectionCofCtheCxCaxis




HowCdoCyouCchangeCtheCfactorsCofCaCgraphCthatChasCbeenCtranslatedCbyCf(x+a)?C-
CCORRECTCANSWERIfCitCwasCtranslatedCbyCmovingCtoCtheCrightCbyC3,CyouCwouldCaddC3CtoCeachCfact


orCbracket.Ce.gC(x+3)CwouldCchangeCtoC(x+6)



WhatCcanCpascalsCtriangleCbeCusedCforCduringCbinomialCexpansion?C-
CCORRECTCANSWERPascalsCtriangleCshowsCtheCcoefficientsCofCtheCexpansion.