[Myschoolchildren] mate k2 trial spm 2012 perlis w ans

SULIT
1449t2
MATHEMATICS
Kertas 2
Ogos
2012
z)i"
144912
PE PERTKSAAN PERCUBAAN BE,ITSAMA
ST.IIL PELAJARAN N,IALAYSIA 2012
ANJURAN
MAJLIS PENGETTJA SEKOLAH MALAYSTA (MPSIID
CAWANGAN PERLTS
NAMA: .....TINGKATAN:
}IATHENTATTCS
Kertas 2
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Markah
Penuh
Markah
Diperoleh
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l3 t'2
t4 t2
15 t2
16 1.2
Junrlah
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For
Exanin€r's
Us
SULTT 6
Section A
Buhagiutt,4
[52 m"trksl
[52 markahl
I
1149t2,
futsrver all questions in this scctiort.
Ja',i,ab serrutu soelcifi ,lalam bahagutn uti.
On ttre graph in the arlswer space .slu<ie tlte region whicit satisties the tltree
irreclualitie.s.y'5 x-i- l, ! . 3xa1dy "' 5.
Pa,ia grrtJ'dt ruattg-lL)wapdrt,lorek ra.ntLuL.yL1t78 fileinu.-iskart ketiga-ri;1ct
kctaks,:tmctctft .l
( x t- l, }' ' 3x ,!an;' - 5 .
Artsrr,erdcrwLtpLtn: [3 mctrksl
[3 markahl
1119t2 SULIT

1
' SULIT
t149/2
2 Calculate the value of rz and oIn that satisty the follor.ving simultaneous linear
equations.
Hitung nrlai m dan nilai n yang ntemua.tkan perscunttan l.inectr serentctk berikut:
m+Zn-5
3m-4n--25
1449t2
[ 4 marks I
[4 mark<thl
Ansr,r,er l./awa.pan:
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Fs
Exarniner's
Ue
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3 Solve the following quadratic equation:
Selesaikan persamaqn kuadratik berikut:
p0p+2)=40
Arrsw'er Llawapan .
1449/2
14 marksl
f4 markahl
1419t7 SULIT

SULIT t449t2
4 Diagram 4 shows a cuhoid ABCDEFGH rvith a horizontal square base EFGH.
Ralah 4 merum.iukkan sebuah kuboid dengan tapctk .segi empat :iamo EFGH di atq.s
satah mengt{uk.
Diagranr 4
Rajah 4
/ is the midpoint of AD. BC:14cm and C-G: 10 cm.
I adalah titik tengah AD. BC : l4 cm dctnCG: l0 cm.
a) Name the anqle behveen the plane HIG and dre plane CDHG.
NamczJcan sudut di antara satah HIG dengan satah CDHG.
b) Calculate the arrgle behveen the plane HIG and the plane CDIIG.
Htnuryl rudut di czrttctrtt satcth f{lc dengan satrth CD{G.
13 mctrks';
[3 markalt]
An*ver'/ Jau,apctn'.
(,-t)
(b)
1449t2
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For
Etanirer't
U.e
SULTT
(a) (i)
(i)(a)
i0
Write the converse of ttre following staternent :
Tuliskan akas bagi pernyataan berikut:
If x is lcss than zeyo then x is ir negative nurnber'.
Jiknx kurung daripada sifur nruku x iulah nontbor negatif
(ii) State wtrether fhe converse statcment rvritten at tire answer space in
5(aXi) is tnte or falsc.
N),atakait sama ada itkas bagi pern.yataa,? .t'(vlg drrulis pada ruang
jcttt:<zpan soalan 5(a) (l ctd"tlah benaruttctu palsu.
(b) Write dorvn Premise 2 to cornplete tlte follorving argumertt :
Tulis Premis 2 untuk nteiengkupkan lttiictl; bcrtkut:
Premise [ :lfsetBisasutrsetof set,4, tlten.4 nB: B.
Premis I : Jtka :;et B i.tl"h subset bctgt -'ie{ .4, ntoka.4 n B : B.
Premise 2l Premrs 2 :
Conclusion : Set B is not a sulrset of set A.
Kesimpttlan : Ser B hukan subset bagi set A.
1149t2
of numbers [, 6, 12,
nombor l, 6, 12, 20,
(c) {ake a general cocltrsiott bf irtductiort tbr the sequetlce
20, , .... rvhich follows the follo*'ing pattertt:
Bttat satu kesttnpulan utntttn SeCLtrc aruhan bagi urut"ttt
. . ):ang mengtlctit poia bertkur.
I :4(0)--,- 2ta
6 :.1 (!)-11
lZ =4(2)- 11
20 = -l (3; * 73
Ansrt'er I Jau, aprttt'.
( ii)
(b) Prerttise 2iPremis
[ 5 marl u,
15 markc 8l
c,alLI
TJI
-cio/
o/
o/
-c/o,@l
>J
L'
r/il
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(u
q)
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q)
a)
ar
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c)
,ua SULITa.
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t419t2

SULTT 1449t2
lrr Diagran 6, PQ is parallel to RS and (J is the origin. The equation of straight line PQ is
2y - jx: k and {re equation of ttre straight line PR is .y
: _1x + j.
"4
Dalctrn Ralah 6, PQ adalah selari dengan RS dan O ralah asalttn. Persctrnaan garis luru,s
PQ tat<th 2y - jx: k dan persdnlaan garis lur,ts PR ialah.y : -lx + i.
4
11
3
:
- -_1,
4
,a
+J
R
Diagram 6
Raiah 6
Find
CcU't
(.2) the valtie of l'.
nrlat k,
(b) ttreJ: - intercept oIthe straigltt line P*S.
ptntasctn - ), bagi garis 1il'rr.s l?.S.
r449t2
16 marksl
16 narkchl
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For
Exatniner's
Ue
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Answeri Jawapan :
(")
1.2 t44912
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L,t.lgt2

SULIT 13 1449t?.
7 Diagrarn 7 sltorvs a solid forrtted by joining a half cone and a right prisrn at the
rectangular plane CDEF. Trapeziunr ABCD is flre uniform cross sectic-rn o[ttre
pri.srn.
Ralah 7 ntetrunjukkan sucttu pepelal yang terbentuk daripada cantuman sebttalt
separuh krtn dan sebucth pri.sma tegak pada ,satah segi empd.t tepat CDEF.
Trapezitttn ABCD ialah kt,ratan rentas prtsma itu.
D
4 cnr
tl
t1
AB : 2CD.
Using 7T -
Diagranr 7
Ralah 7
The heieht o[ the half cone is 7 cm.
11
-' . calctrlate the l,olunre. in crn-t. of the solicl.-7
E
Ats:2CD. Trnggt sepLTruh kon
1-)
Menggunctlcctn Ir - 11 . ltrrttng
AnsrYef : .J crv'ctptTt?.
i.tlalt 7 cnt.
t.st padu. tlolctnt crrrt . pepejal itu.
f4 tnarksl
14 mark,ahl
1419t2
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For
Exanitur's
Uv
SULIT
Ans rver,'.,I.2 u: a p e n :
(a)
(b)
t4 1449/2
[6 rnarks]
f6 mczrkctltl
(z (r
8 (a) It is given that tnatrix K = | ^ l. Find the value of n if the inverse of mah'ix
3 n)
K does not exist.
Diberi baluzwa marnks * : (: 6l
a:.,., ttilai n.j*,t ..()t?gs.angcut hagt
1.3 il)
matriks K tidak wujtt<i.
(b) Write tlte foilou,ing sirtrultarteous liueai'ecluations as nratrix ec;uation:
Tttlis persamaan linear serentctk berihtt dctlam persLTtnactn mcttriks:
2x+5;'=-ll
3x--1.r.':18
Hettce, by using rnatlix lnethod. calculate the value of x and of.y.
Seterusnya, ,nenggttn,tkan kcte<lalt tncztriks, littutg ntlai x dttn nil,ti 1,.
t449t2 SLILIT

15 1449t2SULIT
9 Diagram 9 shou,s trvo sectorsOP()Rancl OS7-of hvt'r circles r,vith the
salne centre O. PUO is a semicircle u,ith dianreter P() and PO : 2OT. O.SR is
a sh'aight line.
Raiah 9 merutniukkqn dua sektor OPQR dctn OST bagt dua bulatan
dengan pusat yartg samaO. PUO ialah sebua.h sernihulatan dengctn dtanteter
PO dan PO : 2OT. OSR ialah ,satu g<zris lttrtrs.
Diagram 9
Rajah 9
14 crn and Z POR : / SOT : 120'
14 cnt dan /. POR : / SOT : 120"
Lising ir =
22
7
calculate
PO:
PO:
DenganmenggLlrlakan n : !. ltitttrtg
7
(a) the perinteter. in crn. of the r.r'hole diasrarn.
perinteter, dalam cm, hagi selunth ralah ttu,
(b) the area, in cm?, of the shacled region.
luas dctla,n crr', bagt rantatr berlorek.
[ 6 marks ]
[ 6 markah ]
1449/2
co
o*
6c)
[Lihat sebelah .*P
SULIT E
a)
().
(U
a-
oa)
c)
+
Untuk
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Pemerikta

Fu
Extvnlner's
U.c
SULIT
,rswer / Jawapan :
(")
l6 1449t2
(h)
1149t2
SULIT

SULIT
l0 Diagram 10. shorvs fivo boxes. A and B. Box A conkrins four carcls labelled
with letters and bor B contains three cards lalrelled rvith nunrbers.
Rajah 10, ntenunjukkan dua kr-ttctk,4 and B.Krttak A mengandungi empat kad
berlabel dengan hru/'dcut kotak B menganrlun,qt ttga kad berlabel dengczn
nombor.
l7 1449t2
trtrEE trtr[4
Box A
Kotak A
Box B
Korak B
Diagranr l0
Raiah l0
A card is picked at randont tionr box A and then a card is picked at random flrom
box B.
Satu kad dipilih secara rawak daripada kotak,4 dan kemudian satu kad pula
dipilih secara rawa.k darip<tdra kotak B.
(") List atl sample space. I
Senaraik<t,t ruang sampel. I
I
(b) By listing the sample o[all the possible outcomes of the events. find the I
probabilit-v that I
Dengan tnenvenera.tkan sampel bagt i:esemua kesuiah.in bdgt pertsttt'd I
yarlg mungktn. cart keharangkaltan b,thcnta I S
(r) a card latrelled n,ith a vorvel and the card labetled uith a nrultiple o[3 are I .g
picked. I 6l
sekeping kad herlahel dengan htrru-f't,okal dan sekeprng kad I F/
berlabel clengan nontbor gandacui i drptlih. I I
(ii) a card labelled u,ith the letter R or a card lalreled u'ith an odd I S
nunrtrer are picked.
sekeping kad herlabel dengctn hurtL{'l? ,atau sekeptng kad herlabel I Sl
dengan nombor ga4iil diptltlt. rE _ , ,l ..,
[5 marksll S
[5 markahll
s/
s
e
3
ILihat sebela[.8 I
t44gt2 SULI*€
oQ
a"
o
EL
Untuk
Kegunaan
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t
E
s
s
Iq
b
o
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!r)
si1
(u

Fq
Exanniner's
Us
SULTT
Answer / Jau,apqn:
(")
l8
(6) (i)
(it)
1449t2
l,{49/2
STIL IT

SULIT 1449t2
I I Diagranr I I slrorvs tlte speed-time graphs of the nlovenlertt of hvo particles, P and
Q, for a period of I seconds. The greph ,48 represenls ttre rnovement of P and tlte
graph MNB represents the moventent of Q.
Rajah rnnunlukkan graf la.1u-masa bctgi pergeralcan tlua zarah, P dan Q dalant
tempoh masa T saat. Graf AB ntenunjukkan pergerakan P dan graf MNB
rnerutnjukkttn pe rgerakcut Q.
Speeci (*l'')
Laju (ms'')
5
Diagrarn 1l
Ralah I I
Time (s)
Masa (s)
19
(a)
(tr)
State ttre unitbrnt speed. itr ms-r. of particte Q.
,i1'atakatt lrtirt seragaft:. drtlctm ,rrr'' - :arcih ().
Calculate the rate of change of speed. iu nrs-:.oIparticle Q in ttre tirst6.seconds.
Htfiil1g kctdar penrbaha;t laitt, dalant nis-t, .&,,g t zarah Q ,lalatn 6 sartt ):dng
pertama.
(c) At f seconds. the total distance travelled trf' P and () is 173 nt. Calcr.tlate the value
of T.
Padn T saat. lumlah jar<tk vang dilaiui r-,leit P dan Q ialah l73rrr. Hittutg nilar T.
16 mrzrksl
16 markahl
1449t2
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For
Exarniner's
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Answer / Jawapan:
(")
2A 1449t2
(6)
(c)
t149t2 SLILTT

2l
Section B
Bahagiut B
| 48 marks I
| 48 markah I
1449t2
[2 marks I
12 markah I
Ansrver arty four questions frtttn this section.
Jawab mena-mana anpat soalan ciaripade bahagia.n ini.
12 (a) Complete Table 12 in the ansrver space on page 22. forthe equation 1, - -
t' O,
(b)
rvriting dorvn the values of y r.vhen x- -l'5and x=2
x
l_2 marksl
Lengkapkctn.Jadual 1,2 di nnng jawapan pczda halaman 22, bagi persamaan
12 . ,. , . .,. ,.,
y - -'-a dengan menulis nilai-nilai y apabila x - -l'5 dan x :2 .
-r
f2 markaltl
For flris parl of the question. use the graph paper provided on page 23.You ma-r'
use a flexibte cttrve rule.
By using a scale of 2 crn to 1 unit on the x-axis and 2 cm to 2 units on the.v--ais.
drarvtlregraphof -1:=-Efo, -4<x<l and - 1,2at,Sl2. [4marksl
-rc
{Jntuk ceraian soalan int, gunaka.n kerras graf ada halaman 23. Anda boleh
menggunakan pem baris /le ks i be l.
Dengan mefiggutTakan skola 2 ctn kepctda I unit ?.ada pal;si-x dan 2 cm l:epada 2
irrzit pacia t:.tkst-1,. lt*ts grdfJ' - - Y 1i1,,1; - 4 < r < -1,lan -12< )' <12.
[1 ntarkaltl
(c) Fronr vour graph in l2(6). hnd
Dctri grczf dt l2(b), ca.rt
(i) tlte value of-t, rvhetl x : -3.5.
nilai v apahtla.r : --i.i.
(i) the value of x rvltetr )' : 7.
nilai x apabiltz .y - 7.
(d) Drarv a suitable straight line on the graph in
satisfu the eqtration L2 -2x+3 =0 for - 4 <
.x
State thcse values of x. f4 marksl
ILihat sebelah
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12(b) to Frnd the
r<4and-12<
values of x
v <12-
rvhich
1449t2
Untrk
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For
Exaniner's
IJsc
StiLIT 22 :+4gn
Luki.s .atu garis lurus yang sesua,i pada gra/'di I2(il Ltntuk melcari lilai-nilcti x
.yang memltaskan persamaan ?-2x+3 = 0 utTtuk - 4 <x < 4 darr
-12< )'<12'
Nyc.ttctk,an nilcti-nilat x itu.
fuisrver I Jawctpan :
L2
la) y =--
x
14 markahl
Table l2
JarJuol ] 2
(b) Refer graph on page 23.
Ruluk grc{di hr.Lundn 2-i.
(c) (i) y :
(ii) -r :
(d)
The equation of the straight Iine:
Persamaan garts lurus :
x i
-n --1 -2 - t.5 I
-l I 1 3 4
v 3 4 6 iL2 -12 -4 -3
t1.l9t2 ST-iLTT

SULTT
, r. : i f I + a
lii'
irii;iil
:! iii;iil: i t i *__i_---_-_*,_^.__-._ t-^- ___i i
.t ;irii
rli ;iil!:ii iiilI ' ! i | .i
li,!.iilr..!,;!lr
i1!itilii
ij:i,lii:
____i__ i___i-_ i t_ i __1
i;:r:r
i:.;:'t;l:.i-l:l 1
i'iii
;
ti
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l-.1 .a:i
23
Grirph for Question 12
Graf unlr* Soalan 12
1449t2
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Sxarniner's
U.s
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13 (a)
24
Diagram 13.t shows point A ( l, 3 ) clrawn on a Cafiesiau
Rajah l3.l menuniukkctn titikA ( l, 3 ) dilukis padct suatu
L449t2
plaue.
satuh Cartesian.
Trarrsforrnation P
Transtbnnation T
Transforrnation R
point (0, 3).
Penlelmactn P i.zlah
Penlelntctctn T ialah
Penjelmaan R ialalt
Diagrarn l3.l
R.ycrlr i 3. I
is a retlection the line v' = 2,
/- i
isatranslatiorri -
|
lr2j
is a rr-rtarion of 90" in the anticlockrvise directiou about ttre
satu pantulctn pcttla g<lrts | =2.
/ -/-
sLtlutrLtnr/ds,iI
-I
Iz,/
sLTtu putctra,t 90"lc7vt()ti arah.Jctttt pctdd pusctt ( 0, -1 )
v
A
_a
At 1, 3,
-r
4 2 0 2 4 6 8
-2
-4
t,o/Ql
c/at
o*/.=/
-S=r'/
o/o/
a/
g
s/
1449t2

' ST/LIT 25 1449t2
ILihat sebelah
SULIT
State the coordinates of the inrage of point A (1, 3) under the followirrg
transformatiotr:
Nyatakan koodinctt ime.j bagt tttrk A (1, 3) dt hrmt,ah penjelntaan berikut:
(i) rP.,
(ii) Rr.
Arrsu,er I .Jtmvapan'.
ic) (,
1449t2
(,, )
Untr*
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For
Exaniner'l
Usc
SULIT 26 1i4,4g/2
(b) Diagratn 13.2 strovrs two quadrilateral KLN/IN and EFGH ctrawn on a Cadesian
plane.
Rajah 13.2 menunjukkan dua sisi etnp(7t KI^MN dqn EF(]H dilukis padLt suatu
satah Cartesan.
(i) KLN is the irnage ol EFGH under the cornbincd transft-rnnatiorl ,ti.
Describe, in full. the transtbnnation :
d-L-/.' ialah tmel bagt EF(jtl c* hav.'ah 51afutng,tn per.ieimaan I'7-;.
H u ratkan se I e ngkap ny.t pe nj e I m a, m.
(.2) L',
(6) |'..
It is given that KLNTN represents an area
EFGH.
Dtbert balult'rt KLI/.i mev,"tktli lt,,':"s 11
EFGH.
[8 marks I
| 8 markah I
SLJLT't
(ii ) of -14 unit:. tind the area reprcsented bl'
t t n t i . c L1 r t I ttL)s.uc?/?g rl*t,tl: t I t rt I e lt
1419t2

STJLTT
Ansu,er/,Jay)apan :
(b) (i) (n)
t449t2
27 1449/2
ILihat sebelah
SLiLTT
o)
( ii)
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For
Exaniner's
U.c
SULTT 28
14 The data in Diagram 14 sllow the attendance of
Bahagia during the Teachers Day 201,2.
Data dalam Rajah l4 rnenunjukkan kehadiran
Bahagia pada Hari Guru 201 2.
(a)
students
pelalar
1449t2
for 40 classes at SK
untuk 40 kelas dt SK
(c)
Diagranr l4
llcz.lrth l1
Based on the data irt Diagrarn l4 and b1, using a class intervaI of 5, cornplete
Table 14 in the ansrver space.
[4 marl:s'l
Berdasctt'kan clatu dal"un R<4i"th l5 ,lrtrt menggu,llctkdfi se/ctng kcl"ts 5. lengkerykan
Jacfuttl l1 dalctm rtrcng j,tw'ctpLtt7.
[1 markahl
Based on Table 15 in (a). calculate the estinrated nlean of'ttre aftendance of rhe
sf.tdents.
f3 marksl
Berdasat'kanJadual !5 dalam {a). hr.t min keha,liran bagi nela1,tr.
f3 markaltl
For this par-t of the questiort- use thc graph prc'rr.'ided.
(b)
(d)
t419t2
By using a scale of 2 cnr to 5 snrdeuts on the horizontal axis and 2 cnr
the vertical axis, drarv a frequencl' polvgon tbr the data.
Berdas,trkan poltgon kekerapLtn .r:ctt1g dtlukis dt
berkartctrt dengrtn kelrctrltran pe ldlctt' tttt.
to lclass ort
[4 marksl
Untuk cerctian soctlan ini, gunakan keruts graj'y"tng disedtakan.
Dengan menggunakan skala 2 cm kepacla 5 pelrzlctr poda pctkst ntengufi* dan 2
cm kepuda I kelcts pada paksr ftieficc7t1cdng, luki.s saru poligon kekerapan bagi
dtttct tlu.
[1 markalt)
Based on ttre frequenc5, poh'gcrn in l4 (c), state one piece of infonttation abouf
the attendance of the srudents.
ll marksl
l1(c.), n.yamkan satu maklumat
ll markaltl
SULI't
l9
11L/J
27
J+
/t0
26
30
24
34
37
38
33
32
25
t8
39
39
40
34
25
4L
45
43
t6
L7
4s
43
40
/._1
30
45
39
38
35
29
43
3t
35
37
28

SULIT
Answer I Jawapan.
(a)
29 1449t2
Cllss intervirl
Selnng kelas
Midpoint
Titik tensalt
Frequency
Kekerapan
t6-20 t8 I
2L -25
(b)
(c) Refer to graph on page 30.
Rtquk gra,f'di inlctntan 30.
(d)
1449t2
ILihat sebelah
SULIT
Untr*
Kegunaan
Pemeriksa

For
Exatniner's
Uv
SULIT
(
f
i,il,iiiil:l!!
liiliiilil,iliri !'i
ti
r-- i
l,l4912
II!!!t
lii;iiiii:.l.I,'.iii
riii:r
it:li
iiiii;tr'
t14912
SULTT

SULIT 1449t2
l5 You are not allowed to use graph paper to ansrver this question.
Anda tidok dibenarkart menggun,tkan kertcts grctf untuk menlau,ah soalan tpt.
(a) Diagrant [5.1 shorvs a solid rigtrt prisnr rvith rectangular lrase.4BCD on a
lrorizorttal plane. Tlte surface ABKGF is the unifonn cross-section of the
pristn. Rectangle C|{JK and rectangle ADEF are inclinecl plales. GF and KB
are vertical edges. The height of G tiom the miclpoint of AB is 4 cnr.
Raiah 15.! menuniukkan sebuah pepejctl berbentuk prisma tegak deng,:.ii
iapak segiempat tepat.4BCD di atas .(.ltctit mengufuk.Pei.inukczan ABKCF
ialah keratan rentas seragamn-i:ci. Segietnpat_ tepat GHLK dan segiempat tepat
ADEF iahzit satah condong. GF dan KB adalah tegak. Tinggi G dari tiiik
tengalt AB ialah 4 cm.
8 cnr
3t
Drarv to fi.rll scale. the plan of
Lukiskan dengan skctla peruth,
Diagrarn I --s. I
Ralah l5.l
the solid .
pelan pe|)eJctl tht.
[3 marks]
[3 markcthl
1449t2
ILihat sebelah
SULTT
Untrk
Kegunao'r
Pemeriksa

For lsur,tr
Examiner's I
Ltv
32
Ansrver /Jawatrtan:
(.r)
1449/2
t449t2
STILIT

SULTT 33
lb) Acuboid is joined to the prism in the Diagram l5.l at tle vert,cal
lrase,4Br?-STCD is ott a horizontal plane. The conrbined st-rlid is as
Diagrartr I 5.2
Ralalt 15 2
Drar,v fi.rll scale-
Luki.s dengan skala pentth,
(i) the ele'ation of the combinecl solicl on a vertical
vier.ved from,k.
1449/2
plane BCJK. The
shorvn in
S
4cm
plane parallel to,4B as
[4 marksl
Unlu*
Kegunaan
Pemeriksa
Diagrarn 15.2.
Sebuah kuboid dicitntuntkan kepada prisma tegak d.aktnt rojalt 15.t patla satalt
mencQ'tlctzng BCJK. Tapak,4BRSTCD terletctk atcts satah mengt(itk. Gctbttngan
pepe.ial ctdalah seperti.yang ditunlukkan dalam Raiah ts.2.
5 cnr
D
,.
(ii) theelevation of the cotrtbined solicl orr a vertical plane parallel to DA as
vierved t}orn I.
dong<tkart gctfurngan pepelrtl itu patla satah n?encancang yang selart deng,an
,48 sebctgoirttcutct dilihat dari X,
[4 rnarkahl
[5 marksl
,longrtkatt gahungan peTtelctl ittt pada satah mencancang yeng sel,eri clengan
D,4 sehagdtmana diltlrut dari Y,
[5 markah]
[Lihat sebelah
SULIT1449/2
N
-1-t--
I
2 cn'r
A
"7
$7
g
.f

For
Exaniner's
Llse
SULIT
Answer I Jawapan:
(lr) (i),
34
(ii)
1,149t2
141912
SULIT

SLILIT 35
16 P(50" A, 10" E). Q$A" N. 90" W), R and I,' are Four pohts on
earth. PR is ttre diatneter of the parallel of latitude of 50" N.
P(50" t/, l0'T), QO}'U, 90" B), R dan [/ adalah empat titik
PR talah diameter bagi .relarian latitud 50'N.
(a) State the location o[R.
ltr.y ct t czka rt ke d u du k a n R.
(b) Catculate the shortest distance. in nautical mile, f]-orn P
surface oi tlie earih.
t449t2
the strrface of the
di perntukaan bumi.
[! itung jarak terpendek, do.!am
permukactn Bunti.
[3 marksl
[3 markah]
to R measured along the
f2 marl:sl
baht. nautika, ciari P ke R, drukur sepanjang
[2 mark<th]
(c) Calculate the distance. in rtautical mile. from P due west to Q measured along ttre
comnlon parallel latitude. [3 marksl
Hitung jarak, dalam batu nautika, dari P arah ke harat ke Q cliukur sepanjang
selarian latitrtd sepunva- 13 rnarkahl
(d) An aeroplane tcok off fiorn Q and tlerv due south to l/. The average speed of the
flight rvas 800 knots and tinre taken rvas 6 lrours.
Sebuah kapal terbang berlepas dari O ,trith ke selutan ke I,'. Purtzta lct_jtt
penerbangctn ittr ialcth 800 knot dctn masa .yang diantbil ttntuk penerbctrTgan ttu
ialah 61am.
Calcutate
I{irung
(i) the distance- irt nautical nrile. ttorrr (i to I nleasured along the rueridian.
larctk. dctldnt hat.u tttttttikct, dctrt Q i:a it rJnthrr scLl(tnlarlg mertdtan.
(ii) the latitucle of l.
lctttntde bttgt [''.
f4 marksl
f4 markahl
1449t2
ILihat sebelirh
SULTT
Untuk
I{cgunaan
Pemeriksa

Fu
Exanniner'.t
Us
STJLIT
Ansrver I J,.twttpctn'.
(")
(./) (,)
END OF QtiESTIOf,i PAPER
K ERTAS SO,{I"{T 7.4 T TAT
36 t449/2
(b)
(c)
(u)
1449t2
STILIT

PEPERIKSAAN PERCUBAAN BERSAIUA SPM 2012
MATHEMATTCS I44912
PERLIS
Scraight ime r- = -3x correctlv drarr:r
Regron cor;€th'shaded
Note,
Arr.arC Pi ttr shaded regr'.n bounded b)'an)'n..!1 .rrrrccl iiflcs
A
B7
a/
=E
$/o/o/
a/bt
i/t/
v

3m+6n = l5 or 2m+4n
(_-)R
m=5-2n oreqrtrvaLlnt
l()n = 4(l or 5m = -l -5 or
nt--)
n-q
OR
(,r) t (-4
["J= []flffi[-r
m=-3
n=4
3p2-2p=O
e(to- 2)= o
P=(-)
= l0 orequiralent
ecluivalent KI
NI
NI
K2
NI
NI
ri:l
:{
a) i IHD or I DHI PI

(") (i) If -r Ls a uegative nurnber thenr is less than zero.
(ii) Tnre
(6) A.B* B
- 3 0- 3
L)f
-=-4 :-(!
PI
PI
KI
KI
NI
0=1(+)+cor
2'
-x -x _x 3x 3xi -

&
T(,;
,,:,
(--, (,t
Note :
l,;)= {._ rj *,-,.n as final aJrsn€r alvardN'
Nrrre 2n - (3)= fr
Au,arcl P I
(: : '.r) (- r r1
(b I ll I=l r
' l.: -a)t,y) (is,
(')_ | (-4 -:)i-ti'r
[.rJ=
-
r,, r-,tlir[-, , ,[. ,* ,l
.-L
!=-3

(n,: ) (n,a ) (n.o) (a,:), ie,+ ) (a,o) (ru, 11 (v,+) (ru,0. (r,r I (r.a I (r,o)) PI
(o) (e,:)(s,o)l
/ 2 |
Plal=
126
{(e:), (R,4} (n,61 (e,ri (er.:) (r,:)}
r(,,)=
**i,
KI
NI
KI
Ni
(")
(6)
rl
t;
is i
i--J
lo, I
ii
l*' i
INI i
(.)
t2
l2-0
6-0
]*(s-i2)xr or
,'
i',.-r2ixr -
:
95org!1
], [a t (r - o)], 12 or eqrrivalent
l'.,
-x[7--(f-6)lxi] =ll3
:
KI
K1

',=s(.a) "
v= -l)
(ht Graph
ixes clrarvn ur con'ect direction, trttifbrrtt scales in - 4 1 x : 4 and
-i)::.r'--12
All 7 pornts and *2 ptrints correctlr' plcrtted clr cur,€ passes throtrg;h trll tlre
polnts ii.'r - 4: .r:4 attd - 12'-.v'. 12.
7 or8 points correctl-v'plotted. arvard Kl
Smt'rottr an<t continuotts curve passing through &s -s pohts tbr
-4'--r '.. -l and ihe 4 points for l5.r! 4 anci -i2s )'slz-
(.) i) 3.2s),si.6
ii) - t.8: x '- -1.(>
KI
KI
PI
K2
NI
PI
PI
(,t) Identi$ equabon -
12
=
-'
Straightlutev=-2-r+3
-2-r + 3or 1'; : -la + l
con'ectly drarvn
KI
KI
NI
NI
rr)
(-4.31
Note ,.-4 . 3 j marked on the iiraeratn
ar(l . i) or (f - i) markedtrn tLe ciiaeiam arvarC Pi
( -:- -t)
Ncrt€ ( -: , -i) ntarkeci c1n the aragain
or (--l- 5 ) or (-a-5) markt'd on tlie drasraln arvard P I
P:
www,mysch0olchildren.com www.myschoolchildren.com

b) V: Eo,laryenrent at K / ( -4 , I ) with scalc t'acror ol'2
Note : Enlargentent scale factor 2 or
Enlargetnent cenfc K(-1 , l) arv:rrd p2
Enlargement, arvard PI
I

Class lnterral
t6 - 2()
-iqs
._ Miclpoint I Ftcquetrc]'
ls:.1
--2r _.---l---
5
26 30 28 6
3l -35 33 E
35-40 38 l0
4t-45 43 7
Class interval .
Midpoini :
Frequency :
I.lote : Ts'o mistakes tbr tire vatues of ti'equency, as,ard P I
rs(a)+ 23(5) r zt(e)+ 33(.s)+ rs(to)+ a{z)
32.5
(c) Frequenc!, Polygon
Axes drawn in correct directions rvith unifonn scales for
13s-r<48and 0<.1,!10
Horizontal axis is labelted rvith upper boundaries i class interval r
midpointsand vertical axis labelled rvith values of fre<1uenc1,.
Note , 8 pourts correctly plotted
6 or 7 porns conectlv plc':fted. arvard Kl
Correct ltequenc;- poll'gc''n passmq through all S
Correct point-s usrng the siven scales
(,d) The tugtrest altendance is i(t classes or
The hrqhest frequencv is l(i trr
The modal class ts 36 - {(i trr
The lil'esl allen,Cance ls -1 cia.sses
40
Pi
ot
P?
K2
K2
NI
PI
NI
PI
12

Correct shape uith recrangle DAKJ and DAGH
JD>DA>-{G=GK
,{easuremens correct to (= 0 2cz)
and all angles at vertices 90o; l.
(6X,)
AII solid lines K1
K1
NI
il

il-l_Con'ect shape with pentagon ABKGF and rectangle
All solid lnes
AS>BK.;'PS -- CK - BS >AF >FC
lvleastremenls correct to lrt 0 2oz)
z B, ZS, Z P and iQ = 90or lo.
(6) ii)
Correct shaJ:e rvith rectangles ADjK, ARQL and EFGH.
All sotid tines (lgnore ML)
,{ - L is joined rvit}r a dashed line to fomr rectangle JKLN{
jD = DR > DA = (rft;-1..1 - AR > O, = ,O ', ,"O
N{easurements correct ttr (: 0.2crr)
Ail anqles at reftices 9t)o - 1o
Kt
KI
KI
KI
KI
j{:

[]
(o)
(b)
(s0"ru fio"w)
80x 60
4800
(.") (t O + SO)x 6(1,: cos 5Ol
3856.73
(d) (r) 4800
.{800
(tt,l
-
or 80
6
B0 - -50
= 30o5'
PIP2
KI
NI
K2
NI
KI
KI
KI
NI
I
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