-*a*-lioalan - gurubesar.my · jawab senva soalan. ... 15 k0, 1) and a(6, 2) are two fixed points....
TRANSCRIPT
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
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JAAATAN FEi..AJARA'.,I NEGEi]I TEREi!SGANU
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10. This tluesrion pt:per mutit be hLtnded in at the e doftheetqmineticn.
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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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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
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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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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
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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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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
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22
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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
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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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