# percubaan pt3 johor 2015

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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.

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

2

3

1

\$olume of cone hr2

3

1

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 +.

)* 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.

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 .

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@

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 "-- \$ )-

,astaPasta 1.B !\$ 1"

,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@

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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\$%

&

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

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@

! 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@

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@

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@

# 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@

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

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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@

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@

?@ 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@

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

/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-

,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@

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*

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