2006 STPM With Answer
Transcript of 2006 STPM With Answer
8/14/2019 2006 STPM With Answer
http://slidepdf.com/reader/full/2006-stpm-with-answer 1/5
N
olF
i .6 r j
*-NG)
EE
s;?u I:H SN)=0)
+56
Nl k Eq)
Yk a
s=$gTF ft IEs; ? l#
E E Esi E t8=* i FH.E_H IHg s4bQf
;JC
3si l {
!t
{Jao
=.o
o
0t
o(no
+(t,
o
J!t
Jo
oo3
o)=o
o3o)=.x
=ch--{ -m-=c
s-{ d i l I ! * ; f i -rr : so
-8g -tdi l I
Pl- n ; a -? e 5 il
-
:i o < . ' l a-*r c- = I - .1 =Y tr: i s- : S llg il : H t t i o Xl + .o :r ' N.
a o' lN q .- $l : =F= cA= -r- $ o- lJ. l 6 = 3
^N =.
-l
9 l < : ' rp -- = *.1 -= gg Fz-=r
F'-rnA t i l i ' * sE ke . l - i 6' Fl* " = ! +
r t - E , ' l - 6" t d=
l r , r ' ; -E el i *= 3S + 6 e .tr lD : E o: d n i **lI e. 0' 4
=_ 6' - lo F i B5559*
d 6' . t + I E5 *r f l" {d -q
4= k-l 5=' 6-
' ! Y l i FoJ"A6 Q pH '
3 R f f : - - :o 3.< i -18' t r { r l:o g i l ' x-lda5Nl
EP!F.' ro: f. .dqoRS==qt
iEQo=?g z
5
=o-.{ + A
-C,de P dc 3d X' =i35 q i lU-Eg + k.
* 3 e-
*#t s$'t ' : 'e. L iFg* ! - .u- .6 'L d- :.+3) ' , 6;=-6'q.1
3 t l| 9N A o
- ; :
€-rg6 (n - Nl f
+83 l$? += | I0 t
tst= : 'qi l ' (oq
3
kN
T
N
I
pat+
.5
+('|l\)
tlo
-o(t,!oo='o3
o-
oo-o0,=of
o
E
O)
*H€HssEia E: iHi : : :o saial l r3crG*xeE t+f Taa==i lEAgi i5: i :tTs 3rtra*$$a!*.- ea*t t i ; $ I ' .af,tA*3i*f* i*ar t33EH
'9 D oo J_o l ;
3g€E.f i f is3' : , , * $ai f lg *. l t
el -a*[gg€=[, : j -e *9"] $** : -
lFiiiE$iT is li $' i$[ i tE:3 :1 I i
f ;q; i t3€ Y 3€
EesigE.E. :- . a =13qI ;E.E A ! g
f f iqesiHg e e
J
oo;6
rr ' , -nFi
96- I<=; '
=d 5E<\
\3 6'aooe^(D
v.Y"+cr\6'6o-
:.- Ct
\
il5t 5o lo
*t F
+ tl
koaoi-
CN
roo9.=oooCI'
o)|+
o
a)2fo
o(o0)
:o
o
:\
oo
aJo€:'o)+
I<q
N
tl.N )
n,:t_o
oo-oC"
o€
0,
-]zt-1(t
Vo
6
f!o.
l36
N
F=gg-{^iTl=!m
md*
: i lTjdni r to
L86
dBdr{-
19 t! ('| 1\)Etr4 .i
8/14/2019 2006 STPM With Answer
http://slidepdf.com/reader/full/2006-stpm-with-answer 2/5
1.,
=
Im= (r)a1=-on=-: N- {o-oot
t1II
vv
-mx
iE_rd E,- (A
6Sz 9,
:toloo J
€o[86' (D
A+
s.do6'r j
CDo, ;
8iYOlr-- I(t
6"pi€
-o4d
Eooo)
o5'o .
o
X
(oo
s, !u
rl +
='+365t DO: '(o e-ooo6d3. ^a6q
95:+R4> 1dq^C n+tF6' rln /-----\x @s=ol ot:oo
€ larot lX' .'----\
*J
=i Jl{ -.
sl.e* l : 6il (rl
k -o
r='\e O
l3 lN) O
SIoo+
!
I
G G e9.= a=d
frEi,dE$O ll .o
F"
Nl- =l f* ("r lN S og: > i ' +d* ! b.} e3^Y l tt + <r '6
i 3-n,t- *== b S or"--dH o >r =E; u o{ =='= o' lN g Hd
-o R d- iq€ v >t d3* ov 96X l l or9.
r^ \ J +O
i5 | dgi i s cFi' -; 6C )qrtN \- | =' -
o 6J 3O) + OD' Nl- ;g
s 5d>t E>o* oF.
>;OEi lE
sg.*5u<'
sn
-
o
0)
0)
oxo
=.oo,(o(D
o
0,o
g
0)o-=oloo(no
o'
o
o
E
-o2.o
iHE*ifrEg3 $Eei;3d gegFB iltE.s ,I3[I-F8fa
I
. r -n o -n m D q >I ='1:r = ' X a 6' .da'da € B !_E3.o E= E O I +.38 q2 E + g; i03 69. or H q 3hito +.9 I - - 3qYa = g. cL i'
".
(
ea*.dR: r i 3 Etsd eci s' i l ?+
3n i q .sqg- . (D = = -.O
HP-t:9.<gd E Y 5 q or9=f . \ !g+-
-O =' ' r =oo- * q *. =D < (u(o
= * -l l 1=5 3 i l Fqro = @. o-N'o a-
- '^ .o. $ H X3( )6{ (DO,
6- I I raf i t : r r3 5g q ; 'E3'a o I a=YJ{E=
= 6' s=i lfN@.. {q l}= o 1-.o (u -.;+-( /r3p-9o
= = $e(t 4. o
E + 5+8 4 <6=t Do. f
o-
C"
6)tt{ s ct)
tsggiea*g*l*EfiigEEEgEe
te;E=a+i
$i$$aFF+iEiEE€i iiffig Eg5
ea'$4Bl,i
ge,
:fltgFgeiaBF+ai€
=d E_6 F6 ry
'gg 9 sd6'd+ o 6
Ea 3 +El .? +R o €
d: #'_= 8.E= s=0 )
?,
N-.{oo
*
o-n
do-o3o=.{1,goXJ
0)gl
E:uqtg
o@
='
(o
('|
{ntr
N)o
sIA:l
-{
IAlr
s
@
nk
ctrIAlr
@
N)hlr
Ctl
=3o
-(
3
o(t,
N) (Jl @ A N)
zIo
U'
CLol
o
^tl
)
^ -l lt I-N l | |
lA l
b:,3t^Qx{n6's
€
oos6'o)oo:l(t)g)
!o-( D(D
o=.96
c( Ddf. o,
obSoU| ++s.t'
=
C.
='
o
Xg)
o-U'xoo
=a(o
o
c)llt
domx
o(t0)
r=3-
^m!m
Hxdn
ts
A:J =El)t rEE
8/14/2019 2006 STPM With Answer
http://slidepdf.com/reader/full/2006-stpm-with-answer 3/5
No^:
STPrh >.oocn^Tt Date:
\ . t \uB)- csucil o (auc-)l (Jn is rJ're,. ntL larF o4 o GrP4k
=tQug)n Ceuc)t n (qtnc.t) -T'n=f (ten-t*) : {: -Ti'.+r--1-n
\uB) o t (g'oct) r\ (ArctC)l -'. J ',,=| ttqtn*.f-tv -\ant$]= $
!oA) o ( (B'nn'l nG-'nC)J
lun)n (Buq)tJ n-'
do. ' -y ' x . .- : .*- ++=6----*x)6 c>* *-)to 8. E4'- Cx-a)z+ ce4-)a=(GFF-)a
=b G -x) * .. . .J [ t' + tocaf (L-)* .'..1 :ct*5r->ax->Lr+ c- = OX
) + [sCzq)-662r") lx r. - 4r : )tl.tgz-t6:(- \gt28 = O
a f z-- lx l g - ' . cutro-.(R)=+,
*) =(sr>)
2 cc.=o z la(-6-:re)- Ot<'qXe-3k)=o
'' \tzi--?ta-L==o Cn'.= x2*jL-t l.r+ \ *S2 = O
--.c.\z+t) (!L-:-)=o :+ t '=-t6t" jd -' . c.^o*(?z)= (-JS, $) : (tr-r')
4. "t JI:;F$r .c (t) [.* :(?J? n =Jff i - \
+ JiE+ tJB) + JE = t.qt9-cile)1ir
\c. \ f3=n+r>=5
5. = tctrnCr+t)99\'= 0r1fx+l)TftT A\Jr-\\ P.='ci++i$e,s#)
iDg ,s* (€*) = E:t[qe*,t +ftl*
t \ , = (*, -€ l
x:= , 8x= o.ol -- . \ \ ' \ Iq.=(*-4l f*(g**)Lt 'te o.or o^a* *] - - o. ol lq3t \\---"Zx'*9'-E +Es* €!= o
-n ..( l , 0$^a.s\ € o.6q3t+ b.ottq3\ g lEs5Or-?\A +\ag + ts 6 = 6;*
a- r .ot € o.698\rp g . Catg+ , { a.er,R--* -t } i 9g' { xef.. a+o
6.z)t+r = Rx+6 *j d-) s4cnr 9[&rr1 -- +l
+aLl, - (Xe+t\Ci-I'l ?tr.fl t--;x
= #*/# = tHt = a+{
- ' . )x I = (Ar+BX>-x) *eCxt+t) -' . g4.x..+ 3t i , t(+g,-l
) (?2 : S -- ccs) :=) C-- I oe*r I xeR: x*o,-{}x . Rq$="qn- r*rrl
Lxt : o ---At c- =) Q={ cc) br,,={xg1a: x$o}
[.r.' : \ =>g*c-:t E- .O R\ : trt etg=x+3]r*
- =* +-
) 71tt t )F?( !F (.f) l.t+Of =\aez- Dt =* DE$
JJ+ )Ja =[*:9^^ ran)- &^e-*l ]i=(. :r. z- o)-(o-a^>) = €l^=*
v. .+r 3 C-zlt(rs-F+t;
ffiG-!.^S".(purefarhs)_ CGPAB.ScwithEd. lst hss rtoni.)
An r_ (-a)t cffile;: ( )l G L ts- T',tr - rs+Tn)
=Qr1-tid
( ' t r , is a..rAP =+A\s o.c-.er * l
--fAA tr a\s,- q. cltrrt\t
n--* ' lI
8/14/2019 2006 STPM With Answer
http://slidepdf.com/reader/full/2006-stpm-with-answer 4/5
LEEHOCKLEONGill.Sc. Pure laths)- CGPAB.Sc with Ed. (lst Glass Hons.) STt2t1,^ >ooC,
fnft /rr,TZ
tO - P(-a)'=o= Bt-)?a-63+tlatb=o
icartf-trr\- r- $ Cg! -
tB + tsa.+b :60 -e $-.-t *) -- -fr=-r G-=:^l
4:2 r , * tg)- { :cfng-3crr€: n ntnCQ-{J
, = rl l ' rQcsac(-cc,rs9stn.l
,frIil*= \ ra^-l= A rDol=-36,8"'
F(i l la3' r f rzS
zt) = (x - \) (x-z) (x+3 ) Crt*z-) _. . .SCA) =, Bstn Ce -3,6
.- trbY- Bg3--r9L-e29+\ =b 4cs)-> : s\n Cg-36.6+'): B
* . -* -+-*r t :s e _ 36 .€|?.: 36,91?lr tr+3,t.
Xrt- +>x 3 - J xa- Ex *t) = gl
= l,2r-3o.r-2 = i I >. g.p, =bl lb\<'ost35i '
=' t r t , - to.-! t+-tBp = ,+JE.^nrtP
( ) - ce--L)
Z(t+fp')r.:= 5 C\+ga)
a= 1 i "- :p"+8p-3=s dr(3r-r)(p+a)=o
!r= -? i* i3a.+t--26=O -e ! , r<- t l - ' ?=- 3x
In tg.af - I^,r (9+r) = ?-0'r x + c-
.,= Ax} '$ .g- - l *
cotF& - ".^F==r.atEB+t[t]
= +Ee+ SEa'o
-OA= n AIR+ t-n)Tt
=nCt )'t (r-*'rFd
:a (t-n1-nl + S a1-@
O-@:F-r=i .1 a"^J !?' :g ' 1-6
-" '*--|
qt r dF--* t E-nt.a :+ 5aIL--d€+Efi
z _.hrce)= -k Cet4cer.l. rcer : *:&* tA. =t ea+fr(td)
-C?lcel-- te..tcct.4tc) : t tEB*41:t
+>O , [ . : t )o,4tcc)>oJ -.*// c-R-'+ C-rGrE- a.r<- e-\h'*.o-r
! *J*
6cr! B\+:?a-63-t2a,+\r--€O t.,= \-O
-
) = x*+ tx3- -1x2- Ex -t \ r-
\+2-?-8+\L --o ! &--ri-.i.
t6+ t6-28-\ (f \Z=o J -E-cil
. ,=>}-- C\. \ ) : 5a*2b-3q =2
- . -St t+t2+Zcz 'Z:+ c-= >:--
Sz-U -l- l)
-+& -! (i?i-il
+J-?:?-ro
=* (jb li) (lil.l)-- ,,.:L)(cre&.G) = t3nAt.3q =l3nat.
=+€f c): +
klo,.h>or t*&r\ )o , t+tagR-
{rc t) >o
(r-tqerl ' ) = kI t-+etr l(t+*ctlJ
t&,1(>-d6'*lCdaqltffil = >-.€t<g)
i .*tl + q-a!'t I >e r h'.b+t > o J aFs*.-L'RPrts$.at,G. | 4e=$Cf.
8/14/2019 2006 STPM With Answer
http://slidepdf.com/reader/full/2006-stpm-with-answer 5/5
LEE HOCKLEONGM.Sc. PureMaths) CGPAB.Scwith Ed. 1s tGtassHons.) S\Prv\:.c6
tnTz
\o.ca') P.oI- . : 5ar- Cs,ts)\(0.\E)=q.Bqts
Cb) )(= rro. o& patia<rrs .strfrtve-
X ^, B O.s . s .ES)+ ':(-N
(t.:+o, :s,S)I'C{>\gs) : PCX> t60-B)
{s = P(e) ! = P(?) -t'89i3)=9c*t-._a^5(r-
-f.=E
LC.i n{r^
I = ' o -R?oo
3. AADE-
AeBE
DR=bE : a:E tfsucr!* A)
-' . 4=E.= 3 el (grvc^ CBec=i{X
la = *o( Ce,*+.. s,8snep )-
4€( i Dis*atr*+tion -- tc,Qt-st{rr'"eA .
g-t E: \t$0' C=.*r(rrr ABc,EJ,Cfr, T_: 5[ *:T.]-Cg:e)++C<.s)+B(ra.s)+B(
+ 3ct+3a(=ttt"t ot-t!' -- t)J-3
= e,t:rrtt: -,f,icostro = )sttr,r (*t,-*) i . , , .= l l+( )(a) -- r" .s
\/.= ?-,
(a+-$) + e-r naoJc-: lr+ (zft.)(3.) = it.?l
t?s r = c.:t .,+ V- -fras(rrt--E)*+'i =trr-- E <, G,\<. naoJc-
x'- I VJc.= -ft,st-Crrc-l)+
**.._:+ Jt*rttr.*Asn \s ta"Qg-8LrrlraJ.
fkJx- \
l i
\
Eate:
=\
, €t-- 3
rJ- (r-t)E$<Ff fg1<)r) =r :ttE
IT
G.
Jv<jt-
. -T=o,TF drrs" '=*
+rr-t : Vr -frCrt-fr'
>-.*
tr *t\t,=-+t-rr+fr"=fr
g=2.a. ! A^g\e. a+.ccat<a.aD ,t=!c- f tr :
r+9=3(o-
-'. q.te-t8f
o{ e. e5.ft-e- q,ral<i\a:.te-rr*J rs
s : :(= - ft. st-. nr-1.)+ + - H - ta(al Jt'. *r'.(rg-*) -- O
\ f Cr-l.'J-e L
-E
>.'Iic\..-
\r-- ,. c,osq$e,-$)=,f 6== $ = *tr fc*-r1 =ft' cx-r*<aavelrcl:#[r+SJE . X<l
q< r rR.. P(
8. P(=: r:F
3
tr=+r..u)= t + ?(EXt) +(?f(t),
lq l =#
, )-
lrCo+l+C-tfcl.g)- l+ rs
'$'++(+)Q" col : o,5-3.9 =-3 l(e) E('rO = Ot-r'rt Jr
- Jr b (?lt"-t LSr
r^l) *Va.r(trrr) '. \l.r \3 ngE a. =Ebt+cs)-o-]#tfr
tr-r1""1;<lal
sss^. t':a-rArn+ Ve.'rn<,LtA I = +-GeLqJE-ol =€i