percubaan pt3 johor 2015
TRANSCRIPT
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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$$
NAMA *
ANGKA GILIRAN * ......
P&'(U)AA* PT3P&'(U)AA* P&*TAK+,'A* T,*GKATA* 3
#$
i.s
U%,A* )&'TU/,++&PT&-)&' 2$1# 2 jam
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'U-U+ -AT&-AT,KMATHEMATICAL FORMULAE
R(s/r(s beri!t boleh (e(bant anda (en0a'ab soalan. +i(bol/si(bol %an$ diberiadalah %an$ biasa di$na!an.The following formulae may be helpful in answering the questions. The symbols given arecommonly used.
P&'KA,TA*RELATIONS
1nmnm aaa += 6 ,rata La0
diambilyangmasa
dilaluiyangJarak
2nmnm aaa = A2era$e s#eed takentime
travelledceDistan
3mnnm
aa =)( 7 Min databilangandatanilaitambahhasil
! Jara! 3 2
21
2
21 )()( yyxx + Mean dataofnumberdataofsum
Distance
# Titi! ten$ah 3 Teore( ,itha$oras3PythagorasTheorem
midpoint 456 %7
++
2,
2
2121 yyxx
222 bac +=
+0AP&+ A* +PA(&BENTUK DAN RUANG
1 Las se$i e(#at te#at ,an0an$ 8 LebarArea of rectangle Length8 Width
2 Las se$i ti$a 2
1
8 Ta#a! 8 Tin$$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
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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$$i
$olume of right pyramid 31
8 &ase Area % Height
1# Hasil ta(bah sdt #edala(an #oli$on 4n"7 8 1
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1.2 1.5 2.1 M 3.6LK
circleofarea
torofarea sec
o
centreatsubtendedangle
360
1 >a!tor s!ala 3 !cale factor6 ' PAPA'
1" Las i(e0 !"8 Las ob0e!Area of image '"8Area of ob(ect
1 4a7 Tent!an nilai )* L dan +.Determine the value of )* L and +.
?& (ar!ah3mar's@Ja'a#an 3Answer*
)* L* +*
4b7 4i7 9lat!an 0a'a#an ba$i lan$!ah #en$iraan %an$ betl. #ircle the answer with the correct steps of calculation.
)116.5(
5
12
4
3++
A 4.545.1 ( 4.52.275.0 +
) 4.575.1 4.55.275.0 +
4ii7 +eoran$ #e!edai (e(beri dis!an 1BC !e atas har$a sebah !a(era.Ji!a har$a setelah dis!an ialah RM1-"-6 hitn$ har$a asal !a(era it.
A shop'eeper gives a 1BC discount on the price of a camera. ,f the afterdiscount price is RM1-"-* calculate the original price of the camera.
?) (ar!ah3mar's@ Ja'a#an 3Answer-
4
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47 Jadal1 47 (enn0!!an #erats !enai!an ba$i !entn$an %an$ di#erolehEni! Rasol dari blan Jlai hin$$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$osAugust
+e#te(ber
+e#te(ber,erats !enai!an
Percentage of increase 1-C
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2 4a7 9lat!an ;a!tor/;a!tor #erdana ba$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 "" &&
=
=
=
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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 *
#
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$%
&
4b7 Ra0ah &4b76 (enn0!!an sebaha$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 .........................................................
'
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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
"
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( ) ( ) ( )
* 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 (
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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
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$ %
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$anlo!s ?dan lo!s @.Hence* mar' with the symbol the intersection of the locus of ? and
the locus of @.
?) (ar!ah 3 (ar!s@
Ja'a#an3Ans'er*
4i7
4ii7 a6 b 6
12
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12 c-
#.5 c-Raah / &agra- 5 (c)
47 Dala( Ra0ah B 476 sebah la(# slh di$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
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*
+
R
O
x
5
6 4a7 N%ata!an bilan$an #a!si si(etri ba$i #oli$on beri!t.!tate the number a
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O
6!7
8
?" (ar!ah 3 mar's@
Ja'a#an 3Answer*
?@ is a straight line.
Ra0ah 3 Diagram 4b7 4ii7
ari nilai ba$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
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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$$naan ele!tri! di r(ah Eni! A:(an #ada blan O$os ialah seban%a!&&& !0. Hitn$ 0(lah bil ele!tri! %an$ #erl belia ba%ar.
The electricity consumption in n AmanCs home in August is &&& 'Wh. #alculate theamount of electricity bill that he needs to pay.
?& (ar!ah 3 mar's@
Ja'a#an 3Answer-
7 4a7 Tlis s!ala 1 * n6 ba$i l!isan %an$ beri!t di ran$ 0a'a#an.Write the scale1 * n* of the following drawing in the answer space.
?& (ar!ah 3 mar's@
. Ans'er 3 Ja'a#an*
bjekObject
/ukisanDrawing
+kalaScale
1 n
16
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4b7 4i7 ,er(dah!an *!implify* n#5 n 3
1 1
2 2
2
3
12 27
8
4ii7 Nilai!an
valuate*
?) (ar!ah 3 mar's@Ja'a#an 3Answer*
4i7
4ii7
4 7 Titi! ! (er#a!an titi! #ersilan$an antara #e(baha$i da sa(a sdt )2+dan#e(baha$i da sa(a seren0an$ $arisL+.
! is the point of intersection between the angle bisector of )2+ and theperpendicular bisector of L+.
4i7 ,ada ran$ 0a'a#an6 den$an (en$$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#
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L
M:
K
1; ! ; 1
1; ! ; 1; 2
2; 1; ! ; 1
K
K