percubaan pt3 johor 2015

Upload: farhan-naaim

Post on 28-Feb-2018

247 views

Category:

Documents


0 download

TRANSCRIPT

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    1/25

    PT3

    NEGERI JOHOR DARUL TAKZIM

    1

    Arahan

    1. Kertas ini boleh dib!a apabila diberitahu.". Tlis namadan tingkatananda #ada ran$ %an$ disedia!an.

    &. Ja'a#an anda henda!lah ditlis #ada ruang jawapan yangdisediakandala( !ertas soalan ini.

    ). Kertas soalan ini henda!lah diserah!an !e#ada $r #ada a!hir#e#eri!saan.

    Untuk Kegunaan Guru

    Na(a Gr *

    +oalanMar!ah,enh

    Mar!ahDi#erolehi

    +oalan Mar!ah,enh

    Mar!ahDi#erolehi

    1 1- 6 1-

    2 1- 7 1-

    3 1- 1-

    ! 1- " 1-

    # 1- 1$ 1-

    %umlah1$$

    NAMA *

    ANGKA GILIRAN * ......

    P&'(U)AA* PT3P&'(U)AA* P&*TAK+,'A* T,*GKATA* 3

    #$

    i.s

    U%,A* )&'TU/,++&PT&-)&' 2$1# 2 jam

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    2/25

    'U-U+ -AT&-AT,KMATHEMATICAL FORMULAE

    R(s/r(s beri!t boleh (e(bant anda (en0a'ab soalan. +i(bol/si(bol %an$ diberiadalah %an$ biasa di$na!an.The following formulae may be helpful in answering the questions. The symbols given arecommonly used.

    P&'KA,TA*RELATIONS

    1nmnm aaa += 6 ,rata La0

    diambilyangmasa

    dilaluiyangJarak

    2nmnm aaa = A2era$e s#eed takentime

    travelledceDistan

    3mnnm

    aa =)( 7 Min databilangandatanilaitambahhasil

    ! Jara! 3 2

    21

    2

    21 )()( yyxx + Mean dataofnumberdataofsum

    Distance

    # Titi! ten$ah 3 Teore( ,itha$oras3PythagorasTheorem

    midpoint 456 %7

    ++

    2,

    2

    2121 yyxx

    222 bac +=

    +0AP&+ A* +PA(&BENTUK DAN RUANG

    1 Las se$i e(#at te#at ,an0an$ 8 LebarArea of rectangle Length8 Width

    2 Las se$i ti$a 2

    1

    8 Ta#a! 8 Tin$$i

    Area of triangle 2

    1

    8 9ase 8 Hei$ht

    3 Las se$i e(#at selari Ta#a! 8 Tin$$iArea of parallelogram 9ase 8 Height

    ! Las tra#e:i( 2

    1

    8 Hasil Ta(bah Da +isi +elari 8 Tin$$i

    Area of trapeium 2

    1

    8 !um "f Parallel !ides8 Height

    # Lilitan blatan d

    j2

    #ircumference of circle d r2

    2

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    3/25

    6 Las blatan 2

    j

    #ircumference of circle 2r

    7 Las #er(!aan (elen$!n$ silinder jt2

    #urved surface area of cylinder rh2

    Las #er(!aan s;era 24 j

    !urface area of sphere 2

    4 r

    " Isi #ad #ris(a te$a! Las !eratan rentas 8 ,an0an$$olume of right prism #ross sectional Area % Length

    1$ Isi #ad !boid ,an0an$ 8 Lebar 8 Tin$$i$olume of cuboid Length % Width % Height

    11 Isi #ad silinder tj 2

    $olume of cylinder hr2

    12 Isi #ad !on tj

    2

    3

    1

    $olume of cone hr2

    3

    1

    13 Isi #ad s;era

    3

    3

    4j

    $olume of sphere

    3

    3

    4r

    1! Isi #ad #ira(id te$a! 31

    8 Las ta#a! 8 Tin$$i

    $olume of right pyramid 31

    8 &ase Area % Height

    1# Hasil ta(bah sdt #edala(an #oli$on 4n"7 8 1

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    4/25

    1.2 1.5 2.1 M 3.6LK

    circleofarea

    torofarea sec

    o

    centreatsubtendedangle

    360

    1 >a!tor s!ala 3 !cale factor6 ' PAPA'

    1" Las i(e0 !"8 Las ob0e!Area of image '"8Area of ob(ect

    1 4a7 Tent!an nilai )* L dan +.Determine the value of )* L and +.

    ?& (ar!ah3mar's@Ja'a#an 3Answer*

    )* L* +*

    4b7 4i7 9lat!an 0a'a#an ba$i lan$!ah #en$iraan %an$ betl. #ircle the answer with the correct steps of calculation.

    )116.5(

    5

    12

    4

    3++

    A 4.545.1 ( 4.52.275.0 +

    ) 4.575.1 4.55.275.0 +

    4ii7 +eoran$ #e!edai (e(beri dis!an 1BC !e atas har$a sebah !a(era.Ji!a har$a setelah dis!an ialah RM1-"-6 hitn$ har$a asal !a(era it.

    A shop'eeper gives a 1BC discount on the price of a camera. ,f the afterdiscount price is RM1-"-* calculate the original price of the camera.

    ?) (ar!ah3mar's@ Ja'a#an 3Answer-

    4

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    5/25

    47 Jadal1 47 (enn0!!an #erats !enai!an ba$i !entn$an %an$ di#erolehEni! Rasol dari blan Jlai hin$$a +e#te(ber "-1B. +etia# #eratsan itdihitn$ berdasar!an !entn$an blan %an$ sebel(n%a.

    Table 1 4c7 shows the percentages of increase in profit earned by nci' /asolfrom 0uly to !eptember"-1B. ach percentage is calculated based on theprofit earned in the previous month.

    9lan+onth

    Jlai0uly

    O$osAugust

    +e#te(ber

    +e#te(ber,erats !enai!an

    Percentage of increase 1-C

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    6/25

    2 4a7 9lat!an ;a!tor/;a!tor #erdana ba$i .#ircle the prime factors of .

    ?& (ar!ah3mar's@ Ja'a#an3Answer

    4b7 Len$!a#!an lan$!ah/lan$!ah beri!t den$an (en$isi #eta!/#eta!!oson$ den$an 0a'a#an %an$ betl.

    #omplete the following steps by filling in the correct answers.

    ?) (ar!ah 3 mar's@

    Ja'a#an3Answer-

    2

    3

    8

    33

    25

    16

    2

    3

    85

    2

    10

    15

    10

    6

    1 " & 11 "" &&

    =

    =

    =

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    7/25

    Sudut cakObtuse an

    Sudut refRefex ang

    Sudut tegRght ang

    141!

    "!!1"1!

    47 Jadal " 47 (enn0!!an 0isi( te#n$ %an$ di#erl!an oleh ,anLati;ah nt! (en%edia!an bebera#a 0enis (a!anan.

    Table" 4c7 shows the mass of flour neededby Puan Latifah to preparea few types of food.

    Jenis (a!ananType of food

    Jisi( #er nit+ass per unit

    9ilan$an2umber

    Ke!#a'e "-- $ )-

    Roti&read 1B- $ BB

    ,astaPasta 1.B !$ 1"

    Jadal 3 Table" 47

    ,an Lati;ah (e(beli sebah be$ te#n$ den$an 0isi( &B !$.

    9era#a!ah 0isi(6 dala( $ra(6 te#n$ %an$ tida! di$na!anF

    Puan Latifah bought a bag of flour with a mass of&B !$. What isthe mass* in grams* of flour which is not used1

    ?& (ar!ah 3 mar's@

    Ja'a#an 3Answer *

    3 4a7 ,adan!an 0enis/0enis sdt den$an nilai %an$ betl.+atch the types of angles with the correct values.

    ?& (ar!ah 3 mar's@ Ja'a#an 3Answer *

    #

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    8/25

    $%

    &

    4b7 Ra0ah &4b76 (enn0!!an sebaha$ian dari#ada sebah sisi e(#atADDiagram &4b76 shows a part of quadrilateralAD.

    4i7 Den$an (en$$na!an #rotra!tor dan #e(baris6 len$!a#!an sisie(#at AD den$an 3 4 cm danA 3 566.

    &y using protractor and ruler* complete the quadrilateralAD* with 3 Bcm and A --.

    4ii7 U!r D

    +easure D

    ?) (ar!ah 3 mar's@Ja'a#an 3Answer*

    4i7

    Ra0ah 3 Diagram& 4b7

    4ii7 D .........................................................

    '

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    9/25

    PQ

    R

    47 Ra0ah & 47 (enn0!!an seb! !e! %an$ di#oton$ !e#ada & baha$ianden$an nisbah 1 * " * B. J(lah 0isi( 7dan /adalah & !$ lebih dari#ada0isi( P. Kira!an 0isi( 6 dala( !$6 ba$i /.

    Diagram &8c9 shows a piece of ca'e cut into : slices in the ratio of 1 * " * B.The total mass of 7 and / is & !$more than the mass of P. #alculate themass* in 'g* of /.

    ?& (ar!ah 3 mar's@

    Ra0ah 3 Diagram& 47Ja'a#an 3Answer*

    ! 4a7 Tanda!an 47 #ada bentan$an #ira(id %an$ betl dan 487 #ada bentan$an

    #ira(id %an$ salah. +ar' 47 for the correct nets of a pyramid and487 forthe incorrect nets of a

    pyramid. *?& (ar!ah 3 mar's@

    Ja'a#an3Answer

    4i7 4ii7 4iii7

    "

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    10/25

    ( ) ( ) ( )

    * R

    + MM

    , K

    13 c-

    6 c-

    4b7 Ra0ah ) 4b7 (enn0!!an sebah silinder te$a! bertt#. Diagram) 4b7 shows a closed right cylinder.

    Ra0ah 3 Dia$ra( ) 4b7

    Hitn$ 0(lah las #er(!aann%a dala( (" silinder it.#alculate the total surface area* in(" 6 of the cylinder.

    ? Gna3use

    7

    22=

    @?) (ar!ah 3 (ar!s@

    Ja'a#an3Answer*

    47 Ra0ah ) 47 (enn0!!an sebah se$i e(#at sa(a 0)L+dan sebahse$i e(#at te#at P7/+. P+Lialah $aris lrs.

    Diagram )89 shows a square 0)L+ and a rectangle P7/+.

    P+L is a straight line.

    1!

    (

    1B (

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    11/25

    Ra0ah 3 Diagram ) 47

    Ji!a 0(lah las ra0ah tersebt adalah sa(a den$an las sebah se$i e(#atsa(a %an$ bersisi < (6 ari #eri(eter6 dala( (6 selrh ra0ah tersebt.

    ,f the total area of the diagram is equals to the area of a square of sides ; cm*

    find the perimeter* in cm * of the whole diagram.

    ?& (ar!ah3 mar's@

    Ja'a#an3Answer*

    # 4a7 +elesai!an setia# #ersa(aan linear %an$ beri!t*!olve each of the following linear equations-

    4i73

    7=

    m

    4ii7 73 =t

    4iii7 026 = x

    ?& (ar!ah3 mar's@

    Ja'a#an3Answer*

    4i7 m ........................................................................

    4ii7 t ........................................................................

    4iii7 < .........................................................................

    4b7 Ra0ah B 4b7 di ran$ 0a'a#an (enn0!!an sebah he!sa$on se!ataAD=. 6 dan Z adalah ti$a titi! %an$ ber$era! dala( he!sa$on it.

    Diagram B8b9 in the answer space shows a regular he*? and @ are three moving points in the he

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    12/25Raah / &agra- 5 (b)

    $ %

    0

    &

    4i7 >ialah titi! %an$ ber$era! den$an !eadaan >&>D. Den$an(en$$na!an hr; ab0ad #ada Ra0ah B 4b76 n%ata!an lo!s ba$i>.

    > is a point which moves such that >& 3 >D. &y using the letters in

    Diagram B 8b9* state the locus of >.

    4ii7 ,ada Ra0ah B 4b76 l!is"n Diagram B8b9* draw

    a. lo!s ba$i titi! ?%an$ ber$era! den$an !eadaan 0ara!n%aadalah sentiasa sa(a dari $arisA&danA=.the locus of point ? which moves such that it is always

    equiduistant from the lines A& and A=.

    b. lo!s ba$i titi! @%an$ ber$era! den$an !eadaan @D D.the locus of point @ which moves such that @D D.

    4iii7 +etersn%a6 tanda!an den$an si(bol !edd!an ba$i #ersilan$anlo!s ?dan lo!s @.Hence* mar' with the symbol the intersection of the locus of ? and

    the locus of @.

    ?) (ar!ah 3 (ar!s@

    Ja'a#an3Ans'er*

    4i7

    4ii7 a6 b 6

    12

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    13/25

    12 c-

    #.5 c-Raah / &agra- 5 (c)

    47 Dala( Ra0ah B 476 sebah la(# slh di$na!an nt! (en$hasil!anba%an$/ba%an$ sebah blatan #ada s!rin.,n Digram B 8c9* a torch light is used to form a shadow of a circle on thescreen.

    Las ba%an$/ba%an$ it ialah 5

    3

    dari#ada las s!rin it dan las blatan itialah (".

    The area of the image is 5

    3

    the area of the screen and the area of the circle is (".

    N%ata!an ;a!tor s!ala #e(besarann%a.!tate the scale factor of the enlargement.

    ?& (ar!ah 3 mar's@

    Ja'a#an 3Answer *

    13

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    14/25

    *

    +

    R

    O

    x

    5

    6 4a7 N%ata!an bilan$an #a!si si(etri ba$i #oli$on beri!t.!tate the number a

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    15/25

    O

    6!7

    8

    ?" (ar!ah 3 mar's@

    Ja'a#an 3Answer*

    ?@ is a straight line.

    Ra0ah 3 Diagram 4b7 4ii7

    ari nilai ba$i # dan .=ind the value of p and q.

    ?" (ar!ah 3 mar's@

    Ja'a#an 3Answer-

    p q

    47 Jadal 47 (enn0!!an tari; ba$i #en$$naan ele!tri!.Table 4c7 shows the

    tariff for the consumption of

    electricity.

    15

    ,en$$naan ele!tri!lectricity consumption

    Kadar ba$isetia# !0

    /atefor every

    'Wh

    "-- !0 #erta(athe first 66 'Wh RM-."-

    1-- !0 beri!tn%athe ne

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    16/25

    1 c-

    2 c-

    1 c-

    2 c-

    1 c-

    2 c-

    1 c-

    2 c-

    5 c-

    1! c-

    !.5 c-

    1 c-

    Jadal 3 Table 47

    ,en$$naan ele!tri! di r(ah Eni! A:(an #ada blan O$os ialah seban%a!&&& !0. Hitn$ 0(lah bil ele!tri! %an$ #erl belia ba%ar.

    The electricity consumption in n AmanCs home in August is &&& 'Wh. #alculate theamount of electricity bill that he needs to pay.

    ?& (ar!ah 3 mar's@

    Ja'a#an 3Answer-

    7 4a7 Tlis s!ala 1 * n6 ba$i l!isan %an$ beri!t di ran$ 0a'a#an.Write the scale1 * n* of the following drawing in the answer space.

    ?& (ar!ah 3 mar's@

    . Ans'er 3 Ja'a#an*

    bjekObject

    /ukisanDrawing

    +kalaScale

    1 n

    16

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    17/25

    4b7 4i7 ,er(dah!an *!implify* n#5 n 3

    1 1

    2 2

    2

    3

    12 27

    8

    4ii7 Nilai!an

    valuate*

    ?) (ar!ah 3 mar's@Ja'a#an 3Answer*

    4i7

    4ii7

    4 7 Titi! ! (er#a!an titi! #ersilan$an antara #e(baha$i da sa(a sdt )2+dan#e(baha$i da sa(a seren0an$ $arisL+.

    ! is the point of intersection between the angle bisector of )2+ and theperpendicular bisector of L+.

    4i7 ,ada ran$ 0a'a#an6 den$an (en$$na!an #e(baris dan 0an$!a l!issaha0a6 bina !eda/da $aris tersebt

    ,n the answer space* using only a ruler and a pair of compasses* construct

    both of the lines.

    1#

  • 7/25/2019 Percubaan Pt3 JOHOR 2015

    18/25

    L

    M:

    K

    1; ! ; 1

    1; ! ; 1; 2

    2; 1; ! ; 1

    K

    K