WHAT TO STUDY FOR STPM MATHEMATICS T PAPER 2

8/3/2019 WHAT TO STUDY FOR STPM MATHEMATICS T PAPER 2

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T. SYLLABUS PAPER2DO WHICHEVEROUESTIONSTHATYOU CAI'I DO FIRST

SPENDTOOMUCH TIME ON TOODIMCULT OIJESTIONS'MANTYMARKS AS FOSIBBLEFROM EACH OTJEATION

Ouerdon I - 6

l.l Dlffcrcndalequatious1.2 Fimt order dfferendal equadoiir wlth scparablevarlablcsfJ First order homogeneouciffercndd cquetioasCandidates LEASEPAY attentirn: IF FIRST PART CAI\INOT PRO\IE 'PLEASE ItO THE NE'(T PART DON'T T NAVE EMPTYrF POSSIBLE USE CALCULATOR CHECK FTNAL ANSWER

uodcrstandlc msaningof theorda md dcgreeof a difftrcntial equationflnd thc general solution ofa {irst orderdifferentialequationwlth separablevarlablesllnd the general oludonofa first order omogeneour lfferendelequadonItnd the generalsolufon of differentialequationuihichcrn be transformed

Candidstes LE.ASEPAY irttntion: / \(a) undustanrlheconccpt f I vectorand ts notati,ms ,t, a, [ * l,*a xt + y- \v'r(b) understandhe qms utrit vectors,parallelvectors' equivalat vectors,andposition vecttrs(c) calculate he magaitudcand dlrccdon of avector(i1 cany out additionandsubh'action fvcctorsandmultiplicationofa vectorby ascalgr(e) use hepropeltiesofvectors, ncluding la+ bl< lal+ lbl(t) ttCtUonSE THE FoRMULA use he scahr product to ffud thc rBgle

betteen two vectoreanddetcrmlnethcpeipcndicularity ofveutors(g) use vectors o prove geomeHcal resultc(h1 colvcproblens ouncenringesultant forces,reeultrnt veilocitie.,andrelrtivevdocities

STPM954/2Ouesdon7 -12

5. Date description5,f Representationofdeta5.2 Mcasurts of lmedon53 Meesurer of dlrPerclonCandidatesLEASEPAY attention: LEASEMEMORISE FORMIJLAECONRECTLY AI\ID USETITEM CHECK ATISWERSOF MEAII ANI!STAhII}ARDDEVIATION WTTH CALCTJLATOR(a) undetstand iscrcte, ontinuous, ngroupedandgroupeddata(b) conrknct ald tntcrprct glcEqplqlE,omlots, histosrrms, and cumuladvcfreooencvcurves(c) derivemdusctheforsrula to- f l'= i xiz-n(F)'zi=l i=l(d) esrimate raphically ndcalculare eelurel oflocadon(MEltlAIrl${ODE,MEAI{) andmersuresof disperslou(c) intcrprct tc mode,medlan, Ereln' rilg, sed'lnterquardle range,andstandatd dcvtaflonPLEASE MEMORISE ALL THE FORMIJLAE Altll)USE CORNECTLY(i) uadcntmd thc $yDmctry and slcwnesr in a data lisftibution

6. Probability6.1 Technlqucsofcoundng6.2 Events and Probrbllliler63 lllutually ercluslveeveub6.{ Indepcndent and condldonel eventsCedidatcs PLEASEPAY attctrtion:TOIAL PROBABILITY NEVER BIGGEf,THAN T(a) u$ecootrthg rulcs for linitc scts, ncludingthc ndnsion-rnd'exclurlon rule,for two or thrce sets(b) usc tte formuhe for permutrtions and combinations(c) uoderstandhe crrlrcepts f sanple spaces, vents, ndprobabilitic(d) understandhemcaning fcomplcmentaryand cxhruetlvecvcnts(e) calculate he probablllty of an event(f) undcrstdrd he meaningof mutuelly erdusive events(g) uee he formule P(AuB)=p1AFP(BFP(A^B)(h) rmderstandhe meaningof independmt end condilionrl evcnts(i) use he irmuia P(AnE)=P(A)xP(BIA)

(a)o)(c)(d) into oncofthe sbovctYpes(e) sketch familyof solution urvcs(f) use tc boundary coadidonto flnd r prrdcnlar soladon(g) solvcptoblemsSat calrbe modelledby differentialcquationsTrigonometry2.L Soludonofatdanglc2.2 Trlgonomctrlcformulae2.3 TrlgonohcdccqlruonsCandi.latcsPLEASEPAY attcntim: PLEASE USE TIIE CORRECT MOI,EDDGREE OR RADIAN. MEMORISE ALL FORMULAE AND USEFORMIJLAE lN DATA BOOK like fsctor fomulr' compound ormule,t-formula, helf anglc fbrrnule(r) PLEASE MEMORISE AI{D use he rine end cofut rules(b) use hs ormulac AREA 6=(16)ab inC andAr0{)r/ts(s-aX s-bX s-c)l(c) solvcproblcmsn tvmon hreedlmeneionr(d) use hi ronnulacsin2&tcrx2O-l,an2$rl=ec20, +cof0=cosec28(c) dcrivcandusc hc linmulac lin sin (AlB), cm (A+B), tan(AtB), siaA ! sinB'cosA* cocB(t) express a sln Of b cm 0 in thc fonns r sln (0t o) and cas(01 o)(g) find ell soluduur wichina specifiednierval, f a fidgonometrlc quatlon rrInequalttyPLEASE CI{ECR TI{E FINAL ANSTTVERSSINGCALCULATOR

geometrT3.1 f,uclld'serioms3.2 Polygons33 ClrcleoCandidates LEASEPAY ittntion: PLEASE CAIY DIFIERENTIATE THEPROVING CONGRUENT TRIANGLE AND SIMILAR TRTANGLE(WRITE TIIE WORD corgrucnt or dmiler'IIONT USE SFMBOL = ' -,3, etc).MUST MEMORISS ALL PROVINGOF 10 CIRCLE RULE(a) understand uclid'saxioms nd he esultshat olloq sucha6 hcpropcrdcsof rngles at r point ansles ehtetl to lgtg[d,lb6 rnd lggs-gf3-gdggglg,(b) prove rnd uee hepropertiesof plane igures,similar rimgles, and cmgnrenttriangles(c) PLE-ASEMEMORISE TI{E PROVE anduse heorems boutanglis in acircle(d) PLEASE MEIIORISE TIIE PROVE md use heorerns boutchmdsandtangents(e) PLEASE MEMORISE TEf, PROVE anduse ftmreinsaboutcyclicquadrilaterals

Vectors4.1 Vectors4,2 Appllcrdonsofvectors


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probsbility disHbutionsDiscreterrndom verlablesMathcmrdcalcrPectadonThe binomlrl dlrtrlbudonThc Poisrondich:lbuthn

LEASEPAY attentim: SUM OF ALL PROBABILITY= 1'*SDPROBABIIJTY USING SUMM,ATIONundsstandrhe oonccptof a discreteandomvariablecousrnucT a probaHllty dtstribufion TABLE for e dircretc randomverieblcundsstand hc conceptof themethcmeticelepectrtion' MEMORISE THFFORMT'LAEure Ue formulac E{e-r(+ b) = sE(X) + b, Vr(d(+b)=rTrr(X)'Uf.X*UVftE'(X) + bE(Y), .rd , fc indepcrdent X end Y 'Vgr(.Xi+YFetVrr(Xt+ UVar(Yldcriveanduse hetbrmulaE(X-t'r)i=S(Xr) -p'."r*i"t" tn" mcrn end vrr{ence of a discrete iilldom variable*dtrrr*A,hc blnomlel and Psismn dlsdbuflonr PLEASE MEMORISETIIE FORMUL.{E ETTIIERONE WII.I BE ASKucc freproUrH$ty funt{otls of thebinomialandPoisson istributions*" ,u" il"tu"f and Polreondrtbutftrus asmodcls c solvingprobloms"r" tl"

pof"toa dlstrlbndons rs atr rgrrodrrtc to thc linomleldlrtrlbutlon, whcrcappropriateREMEMBER TIIE RULE ggig4!conttnultYcorrecdon

piobebility distribudoneConilnuourrandomvarleblesProbrbllltY dcndtY foncttonMrthcmatlcrlexPectrtlonThc normel dictibudon

andidatcs LEASEPAY attsrtim: TOTAL AREA UNDER THE G.RAPH= 'rnqp pRoBABrLrrysrNc Nrnc&{T4o=ry=qAgry.-dt!.q!'g-Ph, ZrOlVUSntrCCALCUUfOn(a) undetstud thc cucqrt of acontillllousnmdomvariablcib) under*rnd thc corccpt of aproDotillty drnrlty funcdon : trtal areaundrrcurve =ltc) unacrstanahc rclationshipbctwccn hcprobabiliry dcnsity uncdonand6ecumnlafvc distrlbudon funcdon(d) understandhe conceptuf thc mthemefcal erpectadonMEMORISE TIIE

frrncfotrg(i) uderstmd thenormrl distrlbution() stendrrdcc a normd r:erbHc(k) uscnormel direibution trblcs[) uee te uormd distributbn asa model b solvingproblemsii,) ose U" nurml dictribufion asen eprorimrte to thc binouirl dishibudonrwhcre eproprirtc REMEMBER TllE RULE and MUST uee cnntiautipcottefron


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WHAT TO STUDY FOR STPM MATHEMATICS T PAPER 2

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