Post on 08-Apr-2018
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
1/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 halebes namalah tahiL[TILUS
NAASK IR EPEP SAR ALES NUHAT NAHAGNETR EP AISYALAM NAR AJALEP LIJIS 0102
SCITAMEHTAM1 repaP
OS OD OT DLOT ER A UOY LITNU R EPAP NOITSEUQ SIHT NEPO TON OD
.1 .laugnilib si r epap noitseuq sihT
.2 r ewsnA lla snoitseuq .
.3 sr ewsna f o seciohc r uof yb dewollof si noitseuq hcaE C ,B ,A dna D.
.4 esoohc ,noitseuq hcae r oF eno .ylno r ewsna
.5 .detats sselnu elacs ot gnidr occa nwar d ton er a nevig smar gaid ehT
.6 .3 dna 2 segap no nevig si ealumr of f o tsil A
.7 mar gor p noN .dewolla si r otaluclac cif itneics elbam
f o stsisnoc r epap noitseuq sihT 91 segap detnir p
1/9441scitamehtaM
1 repaPyaM0102
sruoh 1
AK ALEM NAR AJALEP NATABAJ
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
2/19
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
3/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
3
ECAPS DNA SEPAHS
1 muizepar t f o aer A = 21
ellar ap f o mus sedis l thgieh
2 elcr ic f o ecner ef mucr iC = r d 2
3 elcr ic f o aer A = 2r
4 r ednilyc f o aer a devr uC = hr 2
5 er ehps f o aer a ecaf r uS = 24 r
6 msir p thgir f o emuloV = itces ssor c no htgnel
7 r ednilyc f o emuloV = hr 2
8 enoc f o emuloV = hr 231
9 er ehps f o emuloV = 334
r
01 dimar yp thgir f o emuloV = 31
aer a esab thgieh
11 a f o selgna r oir etni f o muS nogylop ( = n )2 081
21 o063er tnec ta dednetbus elgna
elcr ic f o ecner ef mucr ichtgnel cr a
31 o063er tnectadednetbuselgna
elcr ic f o aer ar otcesf oaer a
41 r otcaf elacS , k = AP AP '
51 egami f o aer A = k 2 tcejbo f o aer a
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
4/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
4
r ewsnA lla snoit seuq .
1 f f o dnuoR eer ht ot tcer r oc 67235 .ser ugif tnacif ingis nak r ad nuB 67235 .it r er eb ak g na ag it ad apek l ut eb
A 00035
B 00235C 08235D 00335
2 mr of dr adnats ni 0000894 sser pxEnak pak g nU 0000894 iawaip k ut neb mal ad
A 89.4 01 6 B 4. 89 01 4 C 89.4 01 4 D 89.4 01 6
3 3.2 01 5 5.9 01 6 =
A 53.1 01 5 B 53.1 01 6 C 2.7 01 5 D 2.7 01 6
4 mar gaiD 1 a si hcihw ,k nat ytpme na swohs r ednilyc htiw , r etemaid 006 mc dna thgieh4 mc 00 .
hajaR 1 ok ik g nat haubes nak k ujnunem k ut nebr eb g nos r ed nil is nag ned r et emaid 6 00 naig g nit ek nad mc
4 00 mc
mar gaiD 1hajaR 1
r ek r ow A .r etaw htiw k nat eht f o %57 pu llif mc ni ,emulov eht etaluclaC 3 .k nat eht ni r etaw f o,
ag g nihes ut i ik g nat mal ad ek r ia nak k usamem ajr ek ep g nar oeS %57 .hunep mc mal ad ,ud apisi g nut iH 3 ut i ik g nat mal ad r ia , .
A 5.8 01 7 B 5.8 01 7 C 38.2 01 7
D 38.2 01 7
mc 006
mc 004
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
5/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
5
5 10101 2 101 2 =
A 00001 2B 01001 2C 00101 2
D 01101 2
6 423 sser pxE 8 .evif esab ni r ebmun a sa nak pak g nU 423 8 .amil sasa mal ad r obmon ut as iag abes
A 4422 5B 2244 5C 2231 5D 1322 5
7 mar gaiD 2 nogatnep r aluger a swohs E DC BA . F E D dna enil thgiar ts a si AE = F E hajaR 2 k ujnunem F E D .E DC BA at ak es nog at nep haubes nak sur ul sir ag hal ai F E = AE nad .
mar gaiD 2hajaR 2
f o eulav ehT y + x si N y + x ial i hal ai
A 801B 621C 441D 261
A
B
C
DE F xo
yo
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
6/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
6
8 D nI mar gai 3, PSR si a tniop ta elcr ic eht ot tnegnat S d na Q Q = T S.R mal aD haja 3 , PSR k it it id nat al ub ut as ad apek neg nat hal ai S nad Q Q = T S.
f o eulav ehT y si hal ai y ial iN
A 83 o B 25 o C 46 o D 67 o
9 mar gaiD 4 hs muizepar t evif swo dir g er auqs no nwar d s . hajaR 4 m muiz epar t amil nak k ujnune . amas t apmeig es d ir g ad ap sik ul id
mar gaiD 4hajaR 4
eht f o hcihW muizepar t A , B , C r o D , si muizepar t f o egami na W a r ednu ?noitalsnar t
ar at nA muiz epar t C , B , A uat a D hak anam g nay , ig ab jemi t muiz epar ut aus hawab id W isal snar t ?
25 o
y o
R
QP
3 mar gaiD
hajaR 3
S T
W
D
A
C
B
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
7/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
7
01 mar gaiD 5 mar golellar ap owt swohs s , P dna Q . enalp naisetr aC a no nwar d , Q eht si f o egami P . tnemegr alne na r ednu
hajaR 5 aud nak k ujnunem ir al es t apme ig es d sik ul id ,Q nad P , naset r aC hat as sat a i . Q P ig ab jemi hal aiid . nar asebmep ut aus hawab
dniF tnemegr alne eht f o er tnec eht . ut i nar asebmep t asup ir aC
A ) 1 , 01 (
B ) 2 , 5 (
C ) 3 , 2 (D ) 5 ,1 (
11 taht neviG nat = 5441.2 081 dna 063 o f o eulav eht dniF . .iD awahab ir eb nat = 5441.2 nad 081 o 063 o . r aC i nak ial in .
A 56 o
B 511 o
C 542 o
D 592 o
y
8
765
32
1
89
Q
P
2 64206 4x 01
5 mar gaiDhajaR 5
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
8/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
8
21 nI mar gaiD 6 Q S R .enil thgiar ts a si hajaR mal aD 6 Q , . sur ul sir ag hal ai S R
f o eulav eht si tahW soc ?ial in hak apA sok ?
A 54
B 53
C 53
D 54
13 mar gaiD 7 shpar g eht swohs y nis = x dna y soc = x 081 r of o x 063 o hajaR 7 81 k ut nu x sok = y nad x nis = y f ar g nak k ujnunem 00 x 063 0.
P a si n f o tniop noitcesr etni soc = y hpar g eht xo nis = y dna x . ehT y- f o etanidr ooc P
si 1707.0 . av eht dniF f o eul .P k it it hal ai ig ab nag nal isr ep x sok = y f ar g o x nis = y nad . K t anid r oo -y hal ai P ig ab 1707.0 . ial in ir aC .
A 54B 531 C 522D 052
1
1
063 o081 o
y
x
7 mar gaiDhajaR 7
072 o
P ( , )1707.0
S 6 mar gaiD
hajaR 6
o
Q
P R
mc 8 mc 6
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
9/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
9
41 mar gaiD 8 latnozir oh htiw diobuc a swohs esab S RQP stnioP . L , M dna N eht er a f o stniopdim S T , RU dna RU .ylevitcepser
hajaR 8 haubes nak k ujnunem k apat nag ned d iobuk .S RQP hag net k it it hal ai N nad M , L k it iT ig abRU g nisam S T nad P W , - .g nisam
mar gaiD 8hajaR 8
enalp neewteb elgna eht emaN U RM enalp dna U T S R . U T S R hat as nag ned U RM hat as ar at na t ud us nak amaN .
A S RM B N RM C N LM D T U M
51 mar gaiD 9 lacitr ev owt swohs ot sr ew , LK dna N M f o elgna ehT .enalp latnozir oh a no , xetr ev f o noitavele M xetr ev mor f K .84 si
hajaR 9 g nait aud nak k ujnunem N M nad LK .k ag et hat as ad ap g nem ir ad M k acnup k ag nod t ud uS .k uf u k acnup K hal ai 84 o.
eht f o noisser ped f o elgna eht etaluclaC esab N xetr ev eht mor f K .K k acnup ir ad N k apat k ud nut t ud us g nut iH
A 33 21B 52 32C 01 63D 32 84
T
M
P Q
R
U
S
N W V
L
L
K
M
N
m 8
m 69 mar gaiD
hajaR 9
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
10/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
01
61 eht nI D mar gai 10 , QP dna S R llip lacitr ev owt er a .dnuor g latnozir oh no gnidnats sr af o noitavele f o elgna ehT Q .22 si S mor f
hajaR mal aD 10 , QP nad .hanat naak umr ep ad ap ir id r eb k ag et g nait aud hal ad a S Rhal ai S k it it ir ad Q k it it k ag nod t ud uS 22 o
f o eulav eht etaluclaC h.g nut iH h ial in
A 2.3 3B 5. 32C 38.91D 8.12 3
71 noitcnuf eht stneser per shpar g gniwollof eht f o hcihW 42xy ?
isg nuf il ik awem g nay hak anam f ar G 42xy ?
A B
C D
Q
P m 8 R
S h m
m 2
01 mar gaiDhajaR 01
y
xO4
y
xO
4
y
xO
4
y
xO
4
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
11/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
11
18 taht neviG x f o seulav eht lla dnif ,r egetni na si x seitilauqeni eht f o htob yf sitas taht
732x dna .5365
x
nak ir ac,r eg et ni hal ai x ir ebiD ial in aumes - aud ek nak saumem g nay x ial in - naamask at ek aud
732x nad .536
5x
A ,5 4 , ,3 2 , 1 0 , 1 , , 2
B ,5 ,4 ,3 ,2 1 , 0 , 1 , 2 3 ,
C , 4 3 , 2 , 1 0 , 1 , 2 , , 3
D 5 , 4 , 3 , 2 , 1 0 , 2 ,
91 ( 2 k ) 3 2
3 + 2 k 2
=
A 12 8 k B k 11 2 C k 21 2 D 12 k 21
02 sser pxE 243
nn
nn
.mr of tselpmis sti ni noitcar f elgnis a sa
nak pak g nU 243
n
n
n
nag abes .had ner et k ut neb mal ad l ag g nut nahacep i
A n
n
4
3 2
B n
nn
4
3 2
C nn
433
D n
n
4
3 2
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
12/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
21
12 taht neviG 46
5 nm neht , n =
ir ebiD 46
5 nm ak am , = n
A 5 ( m ) 42 2 B 52 m 42 + C 52 m 2 42
D 465
2
m
22 taht neviG 013)1(4 yy f o eulav eht dnif y.awahab ir ebiD 013)1(4 yy ial in nak ir ac , y.
A 7B 5C 4D 2
32 537x
sa nettir w eb nac
iag abessil ut id hel obx 537
A 5
37
x
B 537
x
C 512 x
D 512 x
42 yf ilpmiS 42 53 hhh .nak had umr eP 42 53 hhh
A 88 h
B 78 h
C 151 h
D 751 h
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
13/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
31
52 sr egetni eht lla tsiL x seitilauqeni eht yf sitas taht xx38 dna 2813 xx iar aneS naamask at ek nak saumem g nay x r eg et ni aumes nak xx38 nad . 2813 xx
A 5,6,7,8 B 4,5,6,7
C ,1,0,1,2,3 D 3,4,5,6,7,8
62 ni hpar g enil ehT mar gaiD 21 f o doir ep r of ak aleM tisiv ohw tsir uot f o r ebmun eht swohs . shtnom 6
hajaR mal ad sir ag f ar G 21 hopmet mal ad ak al eM t awal em g nay g nocnal ep nag nal ib nak k ujnunem 6 nal ub
mar gaiD 21hajaR 21
si edom ehT
A yluJB tsuguAC peS r ebmetD r ebmevoN
htnoM
0
tsir uot f o r ebmuN
0001
nuJ yluJ guA tpeS tcO voN
0051
00520002
005
0003
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
14/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
41
72 elbaT 1 a ni stneduts f o puor g a yb deniatbo ser ocs f o ycneuqer f evitalumuc eht swohs . semag niatr ec
l aud aJ 1 r ep mal ad r ajal ep nal upmuk es ihel or epid g nay r ok s nak og g nol napar ek ek nak k ujnunem naniam.ut net r et
stneduts f o er ocSr ajal ep r ok S
1 2 3 4 5 6
ycneuqer f evitalumuCnak og g nol napar ek eK
3 01 p 82 04 24
elbaT 1l aud aJ 1
dom eht f I e f o eulav muminim eht , 3 si er ocs p si hal ai r ok s d om ak iJ 3 hal ai p ig ab muminim ial in ,
A 21
B 31
C 51
D 23
82 mar gaiD 31 f o hpar g eht swohs 2nxay f o seulav eht er a tahW . a dna n .?
hajaR 31 ig ab f ar g nak k ujnunem isg nuf ut aus 2n
xay ial in hak apA - ? n nad a ig ab ial in .
mar gaiD 31hajaR 31
A 2,2 na
B 2,2 na
C 3,2 na
D 3,2 na
y
-1
2n
xay
x
2
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
15/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
51
92 tes lasr evinu eht taht neviG { = 0301: xx , x r egetni na si .}teS P { = x : x }r ebmun neve na si teS Q { = x : x }5 naht ssel si stigid sti f o mus eht taht hcus r ebmun a si
tes f o stnemele eht lla tsiL QP .at semes t es ir ebiD = { 0301: xx , x halai r egetni .}
t eS P i x : x { = }paneg r obmon hal at eS Q t ig id habmat l isah naad aek nag ned r obmon hal ai x : x { = - }5 ad apir ad g nar uk aynt ig id
aumes nak iar aneS r usnu t es ig ab QP .
A 03 ,82 ,62 ,42 ,81 ,61 ,41 { }
B 03 ,82 ,62 ,42 ,81 ,61 { }
C ,22 ,02 ,21 ,01 { 03 }
D 82 ,62 ,42 ,81 ,61 { }
03 mar gaiD 41 ,tes lasr evinu eht f o stnemele eht gniwohs mar gaid nneV a si tes , M dna N hajaR 41 r usnu nak k ujnunem g nay nneV hajar r abmag hal ai - ,at semes t es r usnu t es , M nad t es N.
ser per tes hcihW ?noiger dedahs eht stne?k er ol r eb nasawak il ik awem g nay hak anam t eS
A N M
B N M
C N M
D N M
mar gaiD 4141 hajaR
N
M
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
16/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
61
13 mar gaiD 51 ,senil thgiar ts owt swohs RQ dna S R war d , nalp naisetr aC no n .e R no seil ehtx- .sixa
hajaR 51 .naiset r aC hat as sat a id sik ul id ,S R nad RQ ,sur ul sir ag aud nak k ujnunem sat a id k at el r et Risk ap -x
neviG RO 2 = QO f o tneidar g eht dnif , S R .= RO ir ebiD 2 .S R ig ab nanur ecek ir ac ,QO
A 43
B34
C21
D2
1
23 enil thgiar ts a swohs 61 mar gaiD LK .enalp naisetr aC a no hajaR 61 naset r aC hat as ut aus ad ap LK sur ul sir ag nak k ujnunem .
v eht dniF f o eula .h
ir aC h ial in .
A25
B52
C 2 D 5
xO
Q ) 3 , 0 (
S ) 4 ,9 (
R
y
51 mar gaiD51 hajaR
y
x0
2 + x 5 = y 01L ( h ) 3 ,
mar gaiD 616 1 hajaR
K
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
17/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
71
33 f o setanidr ooc ehT G 0( si enil thgiar ts eht f o tneidar g eht dna )6 , H G si 32
eht dniF .
x- f o tpecr etni H G .
ig ab t anid r ooK G ( hal ai ,0 6 ) sur ul sir ag nanur ecek nad H G hal ai 32
. nasat nip ir aC - .S R ig ab x
A 9 B 1
C 4
D 9
43 eht mor f modnar ta nesohc si dr ac A .sdr ac der emos dna sdr ac eulb 02 sniatnoc xob A
si dr ac der a gnisoohc f o ytilibabor p ehT . xob75
.
. xob eht ni sdr ac der f o r ebmun eht dniF
ig nud nag nem k at ok haubeS 02 d ak g nipek apar ebeb nad ur ib har em d ak g nipek . hil ipid d ak g nipek eS
hal ai hil ipid har em d ak g nipek es nail ak g nar abeK . ut i k at ok ad apir ad k awar ar aces75
.
. ut i k at ok mal ad har em d ak nag nal ib ir aC
A 8
B 51
C 82
D 53
53 elbaT 2 021 f o puor g a f o noitubir tsid eht swohs seiteicos owt ni stneduts .l aud aJ 2 nag nal ib nak k ujnunem 021 aud mal ad d ir um haub .naut asr ep
syoBik al eL
slr iGnaupmer eP
citamehtaM s yteicoS k it amet aM naut asr eP 53 02
yteicoS hsilgnEg g nI .B naut asr eP sir e 04 52
elbaT 2l aud aJ 2
.galf eht pu esiar ot puor g eht mor f modnar ta nesohc si tneduts Amor f lr ig a taht ytilibabor p eht si tahW eht nesohc eb lliw yteicos hsilgnE ?
.ar ed neb nak k ianem k ut nu ut i nal upmuk ad apir ad k awar ar aces hil ipid d ir um g nar oeS ? hil ipid nak a sir eg g nI asahaB naut asr eP ir ad naupmer ep d ir um g nar oes nail ak g nar abek hak apA
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
18/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
81
A 95
B 315
C 429
D 42
5
63 02 sdloh r eniatnoc A r ab f o s snisiar htiw etalocohc dna stun . A r ab f o etalocohc dek cip si .r eniatnoc eht mor f modnar ta T gnik cip f o ytilibabor p eh a r ab f o snisiar htiw etalocohc
si53
.
woH ynam sr ab f o etalocohc stun htiw ? r eniatnoc eht ni er eht er a
suk g nub 02 ig nud nag nem sak eb haubeS c ad apir ad ir id r et g nay t al k o c t al k o r eb nad simsik r eb g nacak . suk g nubeS c t al k o awahab nail ak g nar abeK .ut i sak eb ad apir ad k awar ar aces hil ipid c t al k o ut i r eb simsik
hal ai5
3 . hak apar eB nag nal ib suk g nub t al k oc r eb g nacak sak eb mal ad ?ut i
A 2B 8C 21D 71
73 taht nevig si tI y x
1 dna y nehw 4 = x f o eulav eht etaluclaC . 9 = y nehw x . 52 =
b ir ebiD awaha y x
1 = y nad 4 = x al ibapa 9. = x al ibapa y ial in nak g nut iH 52
A 521
B 514
C 211
D 06
1
8/7/2019 MATHS SPM PAPER 1 QUESTIONS
19/19
TILUS 1/9441
1/9441 MPJ atpiC k aH 0102 lah tahiL[ halebes namaTILUS
91
83 o seulav f o stes owt swohs 3 elbaT f p , q dna r yf sitas hcihw r qp .l aud aJ 3 nak saumem g nay r nad q ,p ial in ig ab t es aud nak k ujnunem r qp .
p 21
31
q 6 w
r 54 52elbaT 3l aud aJ 3
f o eulav eht etaluclaC w. w ial in nak g nut iH .
A 5B 51C 54D 531
93 52 74 + 3
02 31
A
58
21
B
58
41
C
58
27
D
54
27
04 eulav eht etaluclaC s f o m f o dna n . noitauqe xir tam gniwollof eht ni nak ir aC ial in - . t uk ir eb k ir t am naamasr ep mal ad id n nad m ig ab ial in
15
01m 2
12
34 =
n1
421
A m = , 1 n 3 =
B m = , 1 n 2 =
C m = , 4 n 3 =
D m = , 4 n 1 =
NOITSEUQ FO DNE R EPAP