STIT,TT3472t'..tdditiunalMBthernirtic$Kertas I()k! }ll/i?il

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DC! N(}T' OPI',N I'TIIS QT]CSTION PAi'ERIjNTII, Y('L .4IUJ TOLD TO DO SO

',. 1'hl :yuestion ptpcr cotlsisis of25 questians.

2. dxswer dl que:ntons.

j. Give only one answer fcr cach queslion.

1. Wrikt rvut, ilns]/''er! i the,spaces proyiCed in tlis.l cttion PdPLf.

Sho* yc'ur workinv. It may help you to get markt.

(.vr,u wish to changc your ans+9pr, cro,.r.\ out lhe worltlhet you hayc done. Then write do--n the new qnswel"

T\e d.sgra,ns in the quastions prtvided arc natdra u to scale unle.s,t stated,

Tiic mcri: ollocoleii f)r etch question are sho n in

-, : l ' ' , ] r ' l

JAAATAN FEi..AJARA'.,I NEGEi]I TEREi!SGANU

trEX.'ER{KSAAN AtrilITR TAFIUN ?&&ft

TtrNGKATr-rN 4!AM.A :

r{I{GKAT,iN ;

. - jI

- . - i

- l

_ iI, -.1I

: .

(i.

9. You nsy u::r: tt non-prograntvable scienlifccalcu ttt,r ,urd u -four -.ti gure mathemaiical table.

10. This tluesrion pt:per mutit be hLtnded in at the e doftheetqmineticn.

l ioalan-*a*- litllb2

f r - i ;

2J

4 45 2b 37 I8 49 3

_ _10__i tt2 ll l 41 41 5 4i 5 3l 7 -ll 8 4t 9 4'za

l2 l22 1

23 +4

25 4

Jumlah 80

This question paper consists of20 printed pages.

3472/1 o zooe rtHAt. YEAR FoRM 4 Hak cipla Jabaian petajaran Negeri Terengganu ILihat sebelahSUI,{T

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SULTT 3472t1

The following formulae may be helpfrrl in answering the questions. The syrnbols given are the

o,.res,Jornmonly used.

Rllmus-rwnus berikut boleh membantu anda menjawab soalun. Simbol-simbol yang diberi

adalah yang biasa digunakan.

ALGEBRA

l. .r =- b *

2a

2 . f x d = f ' "

3. t+d = t r - '

1. (ff = d"

logmn=logm+logn

btu! =6*r - rounn

log n{ = nlog" m

bg,b= PdrcBc a

5.

7.

8.

CALCI'LUS /KALKT'LUS

4. Arca under a curveLuas dt bawah lenghtng

= lY e or t alau

b: Jx 6y

Volume generatedIsipadu janaan

= lo y- clx or I at6u

b= fuxz dt

l ' Y = *

dv dv du- - 3 - = u - + y -& & &

du dv

" t ' ,= ! q = ab dxv ' b u '

5 .- & d v d ut - - : - =: 14 -" ' & d u d r

3472ll o 2008 FINAL YEAR FoRM 4 Hak clpt! Jab.t.n P.l.l.rrn N.gcd fcnn0g.nu pihat sebelrhSULIT

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SULIT 3412t1

STATISTICS (STATISTIK)

_ 2 x

- I /

5. m = r*l. i"-ol"[ r )

6 . I : 9 L x r c o

\ . E / t- = ) l f t r .

tw,Lfx' -2

L f

i I ( r - r ) ' lL r ' -2j . o = r J - = r j : - - J

I M l / N

A - - 2.f $ - *)'

GEOMETRI (GEOMtrTRY}

l. Distance lJarak

- J<,':;V *,-;

2. Midpoint / Titik tengah

v'n=(tY '+,

3. A point dividing a segment ofa lineTitik yang membahagi suatu tembrenggar$

6 , 9 = ( r t : - ^ " , n \ + m r z \

\ m + n m + r )

4, Area oftriangle / Luas segi lryaI r ,

; l \ \Yz + x2y3 + x ry r ) - (x ry , + \y2 + \y ) l

[Li]at cebelahSULTT

3472/l o zooe rrNeL YEAR FoRM 4 Hak cipta Jsbaton p€tajaran Negori To.€ngganu

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t412llSULIT

TRIGONOMNTRY (IRIGONOMETRD

^ h cl. Arc lcngth. s = rO 3' -.-- =

,a, =

,taPanjang lengkaL, s = iQ

r ' ^ 4 . I = b2+?- \bccosA2. Area ofseclor :

; r-o

d2 = b2 + a _zbckos/4

Luas seHor, L = ! i'g2 5. Area oftriangle I Luds segi tigo

I ,= - a r s m C2

347211 o r00e rrxr,L YEAR FoRM 4 Hak clpi6 Jlbatsn Polaliran Ncg€rl r€fangganu [Lihet sebehhSULIT

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SULIT

Answer alt questions,

Jawab senva soalan.

Diagram I shows the relation hween set .p and set O.Ra.jah I menunjukkan hubungan antara set p dan set e.

Set P Set I

Diograml lRaJahl

StateNratdk4n

(a) the range ofthe relation,julat hubungan,

(D) the type ofthe relation.jenis hubungan.

Aaswer /Jawapan: (a)

(D)

347211 o 2ooo F|ML YEAR FoRM 4 tlek Ctptr J.b6tFn p6tajrrrn N.orri T6rongg6nu

3472t1

12 markrl[2 markah]

lllhrt sebehbSULIT

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I JI l 2 l

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3

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!472tlSULIT

Answer / Jawapan :

Answer / Jawapan: p=

347211 @ 2008 FINAL YEAR FoRM,t Hak cipta Jrbsten P€lajdran Nogod Terenggenu

The function g is defincd by g(r) = 3 - 2x' Find the object when the image is I l '(2 markl

Fungsi g ditalcriJkan oteh 8@) = 3 - 2x. Cari nilai obiek apa\'o '^ttn ortr'r:!,ili,

Given that the quadretic cquation x2 + (p - t)x + 9 : 0 has equal real roots, find the

pssible values ofp. [3 marks]

Diheli persamoan hdratik x2 + (p - l)x + 9 = 0 mempunyai punca sama yang nyata'

cori niiai-nilai ywng tsstgkin bagi p. 13 narkahl

[Lihat sebelabSTJLMD

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SIJLIT 3472tr

14 marksl[4 narkahl

12 narksl

ll,ilrt lcb.lrhSI,]LIT

Giventhat f : x -+ 3x - | and g : x -+ i - 7x+ 10, fuid

Dibei bahawa f :x -+3x- l dang:x--+ i -7x + 10, car i

(a) ft,(r) 8"f-' (t.

Answer / Jawapan : (a)

(b)

I

5 Form a quadratic equation which has roots r = -3 and:=i.Givc your answer in

the fonn of + Dx + c : 0, where a, D and c arc constants.

Answq / Jawaoan :

t472ll o 2oog Fll'lAL Y€,|.R FoR[r 4 H.k clpt. J|b.tn trdtl.r.n l'Le.tl r.rorea.nu

Bentuk!'nn persamoan hu&atik yang mempunyai punca x - -3 dan x = I ,A

Beri jawapan anda dalam bentuk al + bx + c = 0, fungan kdaan a, b dan c

ada[ahpemalar. ]2 markahl

5

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7

i-tI l , l

O

SULIT

6 Solve the quadratic inequality r(x - 2) < 15.

Selesaikrn kEtaksamaan kuadratik x(.r - 2) < 15.

Answer / Jawapan :

The quadratic equation x(x + 2) = mx - t has two distinct roots.Find the range of values ofm.

Persamaan kuadratik x\x + 2) = mx - 9 mempunyai dua punca berbeza.Cari julat nilai m.

Answer / Jtwapan :

3472/l, @ 2@! FIML YEAR FoRM 4 Hak chta Jabdm p.Lj.ran Nogeri Terongganu

347211

[3 marl"sj

13 marknh)

[3 marks]

13 markahl

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yTztl

8 Given that aand p arc the roots of the quadratic equation 3x2 +6x+2=0'

Form a quadratic equation which has the roots 2a snd 2f.14 n*kl

Diberi a dan B adalah punca-punca persamrxtn kwdrstik 3] + 6t + 2 = 0'

Bentulikan persatsaan kuadratik yang mempanyai Wnca-purca 2 a dan 2p.14 nart&l

Answer / Ju*wtt :

347211 o 2@ FII{ L YIAR FoRM 4 H.k clpb J.brt .r P.airr..r tL!.d Tf,.olrn|t [LiAet rbrlrlSULIT

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9

I r:lI l r l

SULIT 3472t1

9 In Dia€ram 2, the point (5, 1) is the rninimum point ofthe curve (r - 5)'+ q, where

p and q are constants.

Dalam Raiah2, tilik(5,l) illah titik minimum bagi lengkung (x - 5)2 + Il' dengan

keadaan p dan q adaluh Pemalar.

Diagram 2 I Rajah 2

Find

Cari

(a) the value ofp and ofg'nilai p dan nilai q,

(b) the equation of the axis of symmetry.pe$amaan p aks i s ime lr i.

13 marlul

13 markahl

Answer / Jowapan '.

l 0

(4.)

(6)

34721\ o 20og FINAL YEAR FoRM 4 Hak cipt Jebatan Pelajaran Ntg6ri rerenggen- [Lihat sebelabSTJLIT

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SULIT l l

l0 Given that rl1e points l(4, -l), B(1, 3), c(-a, 2) and D(p, q) are four verrices ofarhombus IBCD. Find the value ofp and ofa. [3 marks)

Diberi titikaifik A(4, -l), -e(1, 3), C(-4,2) dan D@, q) adalah empat bucu sebuahrombus ABCD. Cari nilai p dan nilai q. [3 markahl

Answer/Jawapan: p

3472t1

l t The vertices ofa triangle are P(3, t), p(-1, 3) and n(-3, *1).

ofthe triangle is l0 uritz, find the values of,t.

Bucu-bucu sebuah sqgi tiga ialah P(3 , k), e(l , 3) dan R(-3 ,tigd itu ialah lA unit', cari nilai-nilai k.

Answer /Jawapan: k=

347211 6 2OO8 F|ML YEAR FORM 4 Hak Ctpt. Jrbat n potrjar.n Ncg.d Te€ngganu

Given that the area

13 narksl-l). Diberi luas segi

13 markah)

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I

l . ) 3472tr

Diagram 3 shows a sector OIB ofa circle with centre O.

Rajuh 3 menunjukkan sehor OAB sebuuh bulatan berpusat O.

Diagrtn3lRajah3

Given the radius ofthe circle is 8 cm, calculate the area ofthe sector.

Diberi jejari bulatan ialah 8 cm, hitungkan luas sektor itu-

fUse I Guna r= 3.1421

Answer / Jawapan :

347211 @ 2oo8 FTNAL YEAR FoRM 4 H.k cipta Jab.r.n potajarsn Ncgcri Terengganu

13 nurksl

13 markahl

[Lihrt rebelahSULIT

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SULIT l 3

13 In Diagram 4, OAD and OBC are t*'o sectors of a circle with centre O.

Dslam Rajah 4, OAD dan OBC qdalah dua sektor bulatan berpusat O.

A

Diagrrm4/Rajth4

FindCari

(a) the length of Ol,panjang OA,

(b) the perimeter of IBCD.perimeter ba&i ABCD.

Answer / Jtwapan : oA=

l472ll @ 2oo8 F|NAL YEAR FoRM ,t Hak cipta Jabeten petdjaren N€g€ri Toronggenu

3472t1

[4 marks][4 markah)

(a)

(b)

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l 4 3472tlSULIT

t4 Diagram 5 shows a sector (JPO with centre O'

Rajah 5 menuniukknn sektor OPQ berp*sat O'

Diagram5/Rajah5

Given that the lenglh ofthe arc PQ is 12 cm and the perimeter of the scclor OPQ

is 30 cm. Find the value of I in radian. 13 narksl

Diberi bahawa panjang lengkok PQ ialah 12 cm dan perimeter sehor OPQ

ialah 3o cm. Ciri nilai g dalam radian. f3 narkahl

347211 o 2@8 FINAL YEAR FoRM 4 Hat( cipta Jab.isn peleigrsn Neg6i r6rongganu [Lihrt sebelahSULIT

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SULIT l 5 3472t1

15 K0, 1) and a(6, 2) are two fixed points. A point p moves such that pK : pL = ! :2.Find the equation ofthe locus ofpoint P_ {4 markslK(0, l) dan L(6,2) adalsh dua titik tetqp. Satu titik p bergerak supuyaPK : PL = 1 : 2. Carikan persamaan lokus bagi titik p. 14 markahl

l6

Answer / .Iawapan :

Solve the equation 4'-'= B*.

Selesaikan persamno, +'*' - |-

.

13 marks)

[3 markahl

Answer / Jawapan :

347211 o 2008 FTNAL YEAR FoRM 4 Hak cipta Jabat n pctajaran Neg6ri Terengganu ILihat sebelabSULITD

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1 8

I JI l 4 l

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SULIT t o

l7 Given that log zp+log24=3, find the value ofp'

Diberi bahawa log2p + logz 4 = 3, cari nilai p'

Answa / JawaPan: P =

Simplify the expression 9'x tu" ' 271-t '

Ringkaskan ungkapan 9' x rt'*' - 271-' .

3472tr

13 narkrl

[3 narkah]

14 marirs)

14 markahl

[Lihat s€belahSULIT

347211 o 20oo FTNAL YEAR FORM 4 Hak cipta Jabatan Polajaran N€g6ri retengganuDap

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SULIT t7

19 Given that log 2y - log a r = l, exprcss.r in terms ofy.Dlberi bahaw a log z y - log a x : l, ungkap kan x dalam se butan y.

Answer / Jawapan :

Arcwer / Jawapan: y =

347211 o 2oog RNAL YEAR FoRM 4 Hak clptr Jebetdn pctrlsnn Noood Tennggenu

3472t1

[a narksl[4 markahl

Set Mconsists of 10 numbers which has a mean of 16. When the number y is addedto the set, the mean increased by 2. Find the value of y.

13 marksl

Set M mengatdungi l0 nombor mempunyai min 16. Apabila suan nombor yditambah kzryda set itu, nilai min be ambah sebanyakL, cari nilai bagi y.

[3 narkah]

ILlhat sebelahSULIT

use only

20

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22

t--lI trl

t

SULIT

21 Given that f (x) = Jxz + 11x - 4, find the value of /'(2)'

Diberi bahuwa f (v) = J72 + l7x - 4, cari nilai J't (2)'

Answer / Jowapan :

Differentiate 3x(2x - l)s with respect to x.

Bezakan 3x(2x - l)s terhadaP x.

l 8 347211

12 marl<:l

[2 markah]

13 marksl

[3 markah]

Answer / Jawapan :

347211 6 2oo8 FTNAL YEAR FoRM 4 Hak cipte Jabatan Pclslaran Negod rerengganu [Lihot seb€lahSULIT

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SULIT t 9 3472t I

Age (in years)Umur (dalam tahun) l - 1 5 l 6 - 3 0 3 l - 4 5 46-60

No. of residentsBilqngan penduduk 28 52 l 4 6

T sble | | Jadual l

23 Table I shows the distribution of,age of 100 residents in a paxticular housing area.Without drawing the ogive, find the median age.

Jadual I memtnjuktutn tabban umur 100 penduduk di suatu ,^* *rlli#f;'Tarrya melukis ogif, carikan umur median.

[4 narkahl

Answs / Javtaoan :,

4 1 3 , 7 r 2 , 2 , 6

2a Bascd on thc information above, calculateBerdasarkmt maHumat di atas, hitunglcon(a) the mean,

min,(6) th€ standard deviation.

sitihan Diawai.

Answet / Jswapan :

t472ll o 2oo8 F|ML YEAR FoRM 4 Hak cipta J€b.isn pstajeran N.lcrl Terengganu

[4 narks][4 narkahl

(a)

(6)

[Lihat sebelahSULtrT

I Ji i 4 |

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o

SUI-IT 3472t1

25 Grveir tfr:r , - Lrz + 5,

{!r) r,JJcrilate the small cl.range inywhenr increases from 3 cm to 3 01 crn'

hinrni 7:erubahan ktt,:il bagi 1' apuhilo x menakok elti 3 tm kepadu -i lti cm'

(b) lience, find th;'u.lJire of y aft;r th; :mall change in x.

licternsnl'a, curi nltti y selepas bet lal:u perubahan keci! puda x

14 markti

l1 marklh\

Answer / ,ktu'apan '.

trND OF QUnSrrON PAPIiR

TI.ERTAS SI)A T.AIi TAMAT

347217 o 2008 FttiAL YEAR FoRM 4 Hak cipla Jababn pelajaran Negeri Terenggan:

SULI.I'

20

(o)

(b)

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