18
,,,r,,,., 1Ad4 Mo*J.s 7o7o. Z I )iri. ?3-J1.,"l A , t,= , , f. tt +b=2 -(9 [.-- Z-ln = ?\l- - @ Frer.,,,,. O h= "-l^, -G> ?',* 82 il^ ta CD L-t^-?-k >3t"Cz-1") z- 7Lr, 2 6 t^, -Tl,-L 3\L-qh +2 = o C-oi^o} 6o p-cJa,^i *o J .l I t,<.gg ah? :z-z -b t q,! lar-<q.4 zL+> or+ zl - zcy = 11 1't+t (r G Q t r.r+t9 4qc I toz- 2a 6 t^ 2.15s / P.rt bo-(. i'^ls G) V = 2- z'-\$g b =-o --T 56 // Or o( c2C 62r t cl-1'1414 l,^ > G h-- o-2J?L / 2 - o.242 t.1tB/ \.= h= {l>l-=.f,i..!';'F-l

# Answer for Add Maths Paper 2 Penang Malaysia SPM 2011 Trial Paper

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Answer for Add Maths Paper 2 Penang Malaysia SPM 2011 Trial Paper. Solutions to questions provided for by [email protected].

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,,,r,,,., 1Ad4 Mo*J.s 7o7o. Z I ) i r i .

?3-J1.,"l A , t,= , ,f . t t +b=2 -(9

[.-- Z-ln = ?\l- - @

Frer.,,,,. O h= "-l^,

-G>?',* 82 il^ ta CD

L-t^-?-k >3t"Cz-1")z- 7Lr, 2 6 t^, -Tl,-L

3\L-qh +2 = o

C-oi^o} 6o p-cJa,^i *o J .lI t,<.gg

ah?

:z-z -b t

q,! lar-<q.4zL+>

or+ zl - zcy

= 11 1't+t (r

GQ t r . r+t9

4qcI toz-

2a

6

t^2.15s /

P.rt bo-(. i'^ls G)V = 2- z '-\$gb =-o --T 56

/ /

Or

o(

c2C

62r

t c l -1 '1414l,^ >

G

h-- o-2J?L /

2 - o .242

t .1tB/\ . =

h=

{l>l-=.f,i..!';'F-l

| ) J i r

2A

=9s;q, L*- t o=x3 2/47

q

b)

r , t : l -Z< ) ( t

\$:?)tt..1lc-l

9TTqt ,Q-2<-

7tr6l-* =

Tgrw't-lc-l >

=zf i - f

L- .8 (rt - t ' -. G

'X-

TT

7.

f L--\$=L

G=F

b2

Jv,'J c- Lo)t^ ,Ae LA Tr

s*b ,*ro.I 1 fu*., b;+J^ nJe

tto.^.cr ,,ooL .b >Lo.H^ g = |P c7- i+*z*5e-c+ = |

-

d@Jua-.^4--+b=O

, r /vrc-v \ / ->T

:- *- i'*l:rse* = TF

,r./^Cq .= = L({ >) l- 4

o.^-'J

-1\

=> ]g, t r , , , .2- ' ;c--( = Tl iurqn- t =- l

thcrc-Z ?TTttn aL = 2 \$ -x- l,tq.S S so(.rJttlw 7

8-' 44,q Si.r{- J*a *Lcsrz a(z 2 bo&ema , do*C"(a erar"1

e,^V*qruon| I.:1 {:. e 2,4,Y,.--..

A.zL

Cewtx tul;O, (- --

O O* 3+\ qa, *a ktt

T^ Z Aoeo

+C+f-t 74oao2^ >4ooo

z Lt1c-l2.56

pf4G!]lffiF,I|

i ) i r l .

L (Yc n-e)

o [-fO trr,t

)to 2

:

( e+ G'^^ 4o

z(d"-).reQ

?FT? 2ekb

.) dird*

I.l

f,,v-

G I

G,reJr@^'f of i]9 +-,"Ae"i o* +Ct , -, r.s 6

-! + LEzt

= 6 o..l. ' Ct, -l)

-Y/ -h azVLD= Gwn@o

- )

y'=@

+*LCl-

*

4( T{^is is -J.^lt5 a. +d* 1/-^t+b" I

4.

b=\3u*\-9

rr

g,..'f-h +zc-k-g) =6-h - tLr-U = L

-3h > tz

h ___ +r/s.*tst'Lla h=-Q r\^+o

\e-= -(-a)-7> (+_g

V = tf/

_h+ 2L :6

ccro( &,-3fe C t, -q) i.^{O-L=5+kCr)'. - t

2 t^+1"- 6)-l^''-v --d

i.^.to @

U=frffi\1- ggllirri.grl\$I : I

I ) . r i L

[Mo L^" q Po-,*4;D E7r"+w.^. o'P-q slra1ltt(4 > u^'?a 't-C.

J'q--e U,^ [s Xral'-a-#++aac."*

ncrrh^q /

?r;/ +g* v;':

l7,'ak'ora

dc-"f__L

6

(t,-O

j'*'J*t^a

Zr4\ S

uf-

I

5JaL^^: Aan/ = 3[J :5ft =7 15

.^q*.q ( li"" +- &rrve o J,

Pra A.^ctl- o F qt=d.ta^'l-s c, F' ,t} ,t6 tt- ^93 (" betory

Eg-r.hr"^ oP *ke ,r.o...^.a'[ fu 4'[*a C,crrt@'

*4 6q+r? =c)s) ( 6-l

u= -x- -\1 //<) //

S. a) Lt"t,= JCp.,-rJ-+ C X,-Jrf= J (l-c:)-4 16-l=)-? r / t t ' rq

=IG.

*+ F:u+ A i3

LLg, e )

v, (o , l )

'N Gs,-L)

\ 1 . , -

7

-

>tO->

n-s * LS

/

@EEEE

I ) r i r

b> & v.,ova,5 +- 9..-- a- ctYeJa-- ts ccv\t!r@ ^+ ptr^'{- L '

qrifi- rzrdc'r..-S Jag *iLh

Mi)Eq#c^ho.^ clP okeb Los ++,eP-'

( rr--tr) t*CX -L-)n =t.u

-'. En-''o*,to.,.. a,P loa.^s .o? f .3' C /--7)'* Cl-e)o= tg

,)so CIn, L) tci.^q 4-l',2 ea"Jecr r t ( ) t lc.r^. A. ( +\,,@ r=.J^tY.r .rP *ha c^te.(a

LE,

-o\il '?,rx pri.^+ m Cg ,9> .r,n*o (x-l)-*CU- 6)'

= C'cr-z) 1' + Lz*G)'

? \%ffT1^,*-s tf w;*e ,"^o4c[,.ot 'uiL\,'

- '. pat^* t '4 l ia= oq )-\4 (r..r-s oF

c)*r',?,fib ov.N

\ I@ I ;A, .nJy (*,yr 43,+1= tlL".z)+(o.(*D+ (G;) "I

-K, .o) +CGs).s)+ Co r-r)l= { l("

+o .rc) - (o *Grr)+o) |={ {

o +,s[t9:

n ealr.torz tr,ai{

p,*"ln" Onn co, a)

o

-z-)

€?tr@ ",

\ , , :

I ) r t i r

G- d,) -TL.-f *-- =) /e -\o (Uq (6-?o 2l- 25 L+T) ?(-3 t

No. .,F 5#^da.ts 5 -7 r5 q 3. L

f,t"&=.n (iqkoc*

\"

f-{ = deO

N(aJ.r=,r r^^-= t5'5+( 4-ro)t\ t5 /

= tB- t? q r t ' r , r * *aS

c) €= F,.a,"^ \$^e qr:at?h 6Cc) 'F"@ 'ua4a oP.Lhc Jcs#JL*rUq r\a5li.,,^",.. leJ ;+ ( 6 -g a^rln.^*e =/

r . \I i.aC,Lta'tttt97 Frqrc '<*a

y \ rC...-.^.loqr.t@rc".-t Lr) Cu'

-/

L

Co-tO({- t5

ls-cPL(-2{

2610

a(-75

S1t9q

3I

5t2

L7

?67a@

*,*^lo.lt,c Fqr,F: te_

Yed-'-aJ'-q(t T1 I 1 t\

f ,.,-o-6o**d..1 , L= t5 - s(clo,tt c.^*ar,a.Y, C= 5

S ? @ @ i \ ! ' . , i . - , , .

2 MNt SQUARE - 20 CM X 24 Ct\I 40 S

\,_tI"+"i

| ) i r i ,

S e-.lrz.a B

1. 4)

* L 7 (+ g

q 2. tB z.Gs ?'24 7-ts q.s7

* 4.19 '7.oL (o-50 Ic+.92Lo^sl

&+tf 4 q l6 zg e6

A RcQer +a 11^o B^ph

e) ?g-= C-1lf + b

\$ = fc-+,f *€

.'. d tr l-\e qpdrte*4 .rP +Le Ar-?h a....,cl

f i= +L'a

-12-aris tt....lrar eof '"

Grodra.,.4 =rq . q- 2 ' -1

= O.4qt+.?s- o

61a.**s .r^*arrepf = 1.1

ts = z-1P

E = 2.T y-p

= 2 t1 *z .O j

b-= r-q /

Cer^ 7 Ct>) ^s+ (r-+t)L

, 1. . tt i

- ir i

i l 'j i+

2 MM SQUARE - 20 CM X 24 Cx{ 40 S --\,V*[-]*i

l ) r l

3=b

-7-CE-1) - C=x <g

F,,'+ @ ,"..*o C* > -?- ( .2-1)

3 = -r(z<)I

i)

ec-C^- >) +x : OT-a -'L2c-+ lc ^ o

* - *2O

xcx-- t) :-C:*= O oF s-> l

S>o c'r . .d=t

." Cro.&.-o.fe k ls Cr, , )

: . \\$ ) ArTA

=

df*dcr U' . CJtL(Vcz 6*lt-oo^ 2C.>O a..,^d

IqJ*Jo Q

('G*rz*)ar)o-

| 4+rl .: I*t= 3, r*..^.i\$ syfre A.l,a CD

h-2..< eP *n>. qLo O hg= !*(Kl

u

= + ,^*i I sfic*ctr-e Arca @prc.a cr\$ s[o. f,o J tre-q(ocn

= P,rc..C F H.oo@)

x-: I

b> Vot*'u> [hn-rr.= f,S; G"Y.?',r)'J,*= (r SlC** -r+*j ++*?)Az

Co.rlt'.r^C {O ,,.c*{-d* g1"

sf@t

I t r i r

( ( '

TI

v

q, o? =4- 5 No( =Ed =QdA

7*oL

+?LL

b+3%]

7 t terr q^fJ- oJo

Af=7&

o)ti) A= -dP + +Eq= -? +Qq/ / /'ry '"

//

_ --)i i) ar

-1 -

= -oQ + 7oV: _1" +7 ?* +/

b)- S € - 5

= ("Pi , Q4=bof4) ' .r '

= bf + €g= 6? + hA3= g +hGL*+?): Y. -hL * *uqt

- Ct-k)g r ee?. r., q

7 cfi +bA?2 ! +v(zy

i )

-L)- [ .9

,-Aft= 7-+ 3bP

€ . L

-: 3tr9- + c4.. y'-Q)

Fq

i i ) c2€

c) C'*^g^*^g O e.^d @l -h = t h e) :> h= t-7tr4)+^ = t-L -@

qEiSrEEr \! ' i . 1i ' . : .

| ) r r l .

p*F @ t\.^to G)' (+ (t-zD = l- b4-1n-V = l -h-

\ \h = 7a 7

t t/

€)Vr* b-c h t^.loh : l- 3C+)

= t- j I

t z t llrz\

//

p. a) ?C* =.) = nQ ?'q.^-'t r

n?

?=1.,

, ?++ rl

1 Ct-,-,'{ic5)lS"b = o.( S(- ? = o.8t

q a

C*x Cc> t5)

X O -ot-+g f

x (o.set'-o. ee97

=z& Lo\? O-2oO n

/

[, +tc5 grob6,^^

i ) r=L?Crr =D

i i ) C=o, r -a t , r> '2-

P cx <' == r&::]a:,T; Z il,ft:?- L@\r)ao,sf= 0. ) ' t -OS8+ O.q6ot * O. /z -oq,66

= o.4a6L//

Lr) l - { = 4o.A . O= c+

i) pCX *S) = W(cc*-whr"{o sll ,-p,^,.^o.t d,Sl)

: O.tts( CF.o- l4eLbb o.o eAor)

(TEEIEET

| ) . r i ,

i i ) ? (+s < )< <so) = p Cr.z1 z< e-+t)

" <zzr'D- ?Czzz'qs) \

O. t (S l -O .cso t rQ

9. lot

t l .

fro

q S\e.A,cJ

- Trco*t^ (a O?kfur[oc c,.'?.cl Qe a = \Clf Trt

.,

= 2 fl c,.^-

=6 .1 - tQ l ' n tL

T..o.^g1(q, . O ? 9. onoa = t^b gw C

U

: ?';;r'lL . 568 - 6 ' zg? - A. (+7L

f ,^ F=,rt*= (o'g% I

//

O? = 3c* 'ta^inorocq, Qg >

\rr

, PQ=oP=3c-

A'." lcaala,g= rO(J

fc.d<.^s. C = 3c.*r

t . ^ lno ra r3 5= \y

uin= 7o

LZeeV:* = Afl r.aJ

b) geef.,r ,^rca , A = *n 'e c> o?+oQ = 6 c*^

0'1Qor = + 4Q PA --

Sex._4ar ^(va, eg)S " \G)"* t fi

= 4n t "*

p*area.2 [email protected] ( clrcrt QCf S L+"= t2-56f c*-J- \$,o,gl.n o-(czq QP g

,\aAd *Br* or@a\ =, \$5 Z- e-w-L

(4/tr@EEEr ,'. "

i ) r L i . '

S--;to* C

.-4e

(=o => p

t2. 4.r\ L,-, '€ l

, r n v = 4L-z{ +tz

et) cl) i^i/ro/

V=vobcli1 ie 'uAa.',

c)L- 9(o) a,-

12- ra . .g- '

f

"u .u*o A

f.c

h)

- l-^ t=8 2 V= ra-gCs)+t 'r-> 6cn - 64 * tz

? \z

A Tirta( &rJ--.- *^.<-lbJ ;q OSI <6 is +sLr.&J r<Ent'a't fhjl^.a atr4?E ", bne

TAa toht J,r*lu^.u' l[" v J+f +ll" , l+tlJ"

- | 'Dr'- ' l

L-"|a,+^l

(ir') gJlAo 't^o@ {o +to /*ll ,,J^c', v <-C2 ,^,..f '

r f = 1- -gQ+tz

= (+- z)(+ -6)V= O ulW". { = t* o.,,.d k--6

v<o Q),^,e^ t--"- 9_t=6yrh'ala weuee lo "tLo lal l'

vhou L 112-" /

(iir2 A.-.(a.a|lo- = # = LL-1

Jv-d* >ozl-a z o

Lt ' >g

t z4se e

/

,J"c^ a.*/oral'"n 13 V r,-11-o

t,

v = .lL s{ ttz-

€ Cs)

v =! , ! g( t tz

o..-e 4 lU,"

t l l I ( L r . 4 \ ,\-uJ-t, ! \ (,( '-g€+rz-)Jt =Jo E Jo -

2

Coqshhq.a' h ttc..sf F%a -..

€fiffitrIIEr

I ) r i .

uJ{ I+

- q(sf +,"{6)] - L-e q)t^\

TLs 'f-I^t Jcs.fo*ca ,^Lo..^ oSt LG= tS:vrr [ +l J:vrr \

u/

B a)ri ) U* b-=aT+*- 2Lc *'a]g,c L4#z

b-=q.o+ {- z-qc-c,oS b

= 7-t t to. eL- LL't.Xo.q) cos?S"=9LAt++ tod . f6 - I +> .68

L* ' 77'*t =F*

A-c-> 6 ' t l -^ /

(rr', ,Asc *a'#s = *.-

Lnt- {g*c- s ! ' ? . 2 6 - t l=) =f} = ffiy

'7.L-erwgSo

-.rro .6'7 E1

- o+Ls 2

c'=QL-\$Y /

//

-+4L +tz-t

l-*Gl'+,{-:]?

537

c)93

. l

L

=

+!7

+7

7

L

?txA >

9lw A

N=1v*'c

| ) l i ,

Q- Q c,--tI

b <-cNg=g2o-+z.svn= 74.q E'

r+c-Arb ? Q'cP<-" '

U* *r*+t- cbc.cosA

#COo= c-qn+ e.c:- 2-ClrQ6a.q)as3q -qs

= T7.* + tol."r26, -a q l. go

cD ? Irs.rE= i ' ^ . ^

/

82"

D

Q ' Q < n ,

p

oF Ag,co =

^

-Co- € )

(z i I :

Ti:t?:

4 Arcn

ffi z-+X -<x2 {tao -CD

*:x sp

b) Qo.}".r +- g,-gt< (+CbD

c) (i) f{6..',.^.a.^n. ^tr,^bsrr-a\$ F:m- 5 af."Ja^ts : tS /

c'P*Lvrc ate +9 fu.^ ? >1r-.a-c^+S '/

Aaec+AAeo

lQ"-d)C=-z) s.'<e i" + { Ca''t) C+'c) si-r 79 -q3"al.+-T r + t ' t+1go.OL

"^" f

Ui) f,^!rrJ3 . S = L.€** *j -Q)

Mor*i.^.r^,,* 5 vJv.u *= 27 ar^d t

= 53

= LSx + k 'oq

= 61E | 2- l 1p

= FM a, 14{r ,//

{fffir

r4cb'

\--ra:gMM SQUARE - 20 CM X 21 CX,I 40 S

I ) . r i r

(S. axt) paca oF S f.t ?octS = RM 5.oo( \ ^ ^oo8

I *d66 7= TF(oo

?n-c" oP S

>r@V

ti i l W* tLAe; f,n6.,:o5a.J [g @"6 rh zoto

?.t-* r'a.crla.'c <r,P S itr etco = t4O Y (tooYo + O%)

: 192

rra 2Pto = e 7 ff i

b I.,. Loool lr = tz8

U

3{_ 14 rcro = tr_[Qot

c.qd 1' l1arod=(crS -@)Q."s

@-@ *=#g x(oo = # '^coo = ltv qQ'c

:' I.^.Jo* .P f %f"-oo1 ba.so.d.^ zoog : lLt'1//| ) i. r,r

c) I^<,'Jrc,,a{' l;\ 't'orof,acaA oa ?9o{ ul !i,.rt

PaR

t+6\aE\30\TL\79

2

G5

7+

252-75o

6So

3q657L

= 2-sz+ ?so +6so+__ac6+ s32-r _ 2s2+?so +6so+ 3q6+ j32- . : 'g9- = tzq . -'2+c+5+j++ zo ' ' (

J) y \i(oo = (z-q L.^J ero = &sGQ.rsc>' QoS

6+'S .16(glc, = \'L4Qos

:. Pricalot Jk- co'V,a (ur 7.oo| , Qos = 9-.tt gO'@ ll

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