MATHS SPM PAPER 1 QUESTIONS

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


2/19


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


4/19

TILUS 1/9441


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


5/19

TILUS 1/9441


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


6/19

TILUS 1/9441


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


7/19

TILUS 1/9441


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


8/19

TILUS 1/9441


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


9/19

TILUS 1/9441


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


10/19

TILUS 1/9441


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


11/19

TILUS 1/9441


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


12/19

TILUS 1/9441


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


13/19

TILUS 1/9441


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


14/19

TILUS 1/9441


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


15/19

TILUS 1/9441


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


16/19

TILUS 1/9441


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


17/19

TILUS 1/9441


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


18/19

TILUS 1/9441


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


19/19

TILUS 1/9441


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

MATHS SPM PAPER 1 QUESTIONS

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