2006 stpm with answer

6
N o l F i.6rj *-NG) E E s ; ? u I : H S N)=0) + 5 6 Nl k E q) Y k a s= $ g T F f t I E s ; ? l# E E Es i E t8= * i FH .E_ H IH g s 4 b Qf ; JC 3s il{ !t {J a o =. o o 0t o (n o + (t, o J !t J o o o 3 o) = o o 3 o) =. x =ch--{-m-=c s - { d i l I ! *; fi- rr : s o - 8 g -tdil I P l - n ; a -? e 5 i l - :i o < .'l a - * r c- = I . 1 =Y tr : i s - : S l l g i l : H  t t i o Xl + . o : r ' N. a o'lN q . - $l : =F = c A = -r - $ o-lJ. l 6 = 3 ^ N =. -l 9l < :' r p - - = *. 1 - g g F z-=r F'-rnA tili'* s E k e .l-i 6 ' Fl * " = ! + r t- E ,'l- 6 " t d = lr,r';-E e l i * = 3 S + 6 e .trlD : E o : d n i **lI e . 0 ' 4 =_ 6 ' - lo F i B 5559* d 6 . t + I E 5 * r f l " { d - q 4 = k - l 5 = ' 6 - ' ! Yli F oJ"A 6 Q p H ' 3 R ff: - -  : o 3. < i - 1 8 ' t r { r l : o g i l ' x -l da5Nl EP!F. 'ro:f ..dq o R S ==qt iE Qo = ?g z 5 =o-.{ + A -C,de P d c 3d X' = i 3 5 q i l U-Eg + k. * 3 e - * # t s $ ' t ' :'e. L i Fg* !-.u -.6'L d- : .+3)', 6; =-6'q.1 3 t l | 9 N A o -; : €-rg 6 (n - Nl f + 8 3 l $ ? += | I0 t tst= :'q il'(oq 3 k N T N I p at + .5 + ('| l\) tl o - o (t, ! o o =' o 3 o- o o -o 0, = o f o E O ) *H€HssEia E:iHi:::o s aiallr3crG* x e E t + f T a a==ilEAgii5:i: t T s 3rt ra*$$a!* . - e a *t t i ; $ I'. a f,tA*3i*f * i*ar t33E H '9 D oo J _ o l ; 3g€E.fifis3 ':,, * $ a i f l g * . l t e l-a*[gg€=[,:j-e *9"] $ * * : - lFiiiE$i T is li $ 'i$[itE: 3 :1 I i f;q;it3€ Y 3 EesigE.E. : - . a = 13qI;E.E A ! g ffiqesiHg e e J o o ; 6 rr',-nFi 96- I <=;' = d 5 E < \ \ 3 6 ' a o o e^(D v.Y"+ cr\6 '6o- :.- Ct \ il 5t 5 o lo *t F + tl k o a o i- CN ro o 9. = o o o CI' o) |+ o a) 2f o o (o 0) :o o :\ o o a J o :' o) + I <q N tl .N ) n, :t _o o o -o C" o 0, -]zt - 1 (t V o 6 f! o. l 3 6 N F = g g - {^iTl = ! m m d * :ilT j d n irto L 8 6 d B dr {- 19 t! ('| 1\) E t r 4 .i

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Page 1: 2006 STPM With Answer

8/14/2019 2006 STPM With Answer

http://slidepdf.com/reader/full/2006-stpm-with-answer 1/5

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Page 2: 2006 STPM With Answer

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r^ \ J +O

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Page 3: 2006 STPM With Answer

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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

Page 4: 2006 STPM With Answer

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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.

Page 5: 2006 STPM With Answer

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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