SULIT t449tr Mathematics Paper1 September 2009 lt/o jam

JABATAN PBLAJARAN NEGERI JOHOR

PEPERIKSAANPERCUBAANSPM 2OO9 MATHEMATICS PaperI One hour and fifthteen minutes

JA\GAN I

BUKA KBRTAS SOALAN INI SEHINGGA DIBBRITAHU

,(crlns .soalan ini udalah clalem du,ibql?asa. Soctlendi bahagian qtas adalalt clalqm behasa Inggeris, diikuti oleh bahqsa -\.lelclyu. Calon dikehendekimembecamaklumatdi halaman 2.

Kertas soalanini mengandungi32 halamanbercetak. O FlakCipta JPNJ2009

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INFORMATION FOR CANDIDATES TIUKLUMAT UNTUK CALON

l.

This questionpaper consistsof' 40 questions Kertcts soalan ini mengandungi 10 soqlan.

2.

Ansrver all questions. Juwab sen uo sctulan.

3.

Answer each question by blackeningthe correct spaceon the answer sheet. Jswub dengan menghitamlarn ruangqn yang betul pucla kertasjawapan.

4.

Blackenonly one spacefor eachquestion. Bagi setiap soalan hitqmken salu ruangan sahaja.

5.

If you *'ish to changeyour ans\ver,erasethe blackenedmark that you have made. Sekiranya anda hendqk mentrkarkanjawapan, padamkan tanda yang telah dibuat

6.

'I'henblacken the spacefor the new answer. Ke ruudi an hit amkan.iau'apen yarrg bqru.

7.

The diagrams in the questionsprovided are not drawn to the scaleunless stated. Rajah yang mengiringi seliop soalan lidak diluki,skanmengikul ,gkalakecuali dinyatakan.

8.

A list of formulaeis provided, Satu senarai rumus disecliakan.

9.

is provided. A booklct of four-figuremathematicaltables Sebuah buku sifir matemetik em1tcrtangka disediakun.

10.

You may use a non-programmablescientific calculalor, Andq dibenctrkan menggunakan kcilkulator saintifik yung tidak boleh diprogram.

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MATHEMATICAL FORMULAE RAMUS-RUMUS MATEMATIK thequestions, The symbolsgivenarethe ones The follorvingformulaemay be helpfulin anslvering commonlyused. herikut bolehmembantuanda menjawabsoalan,Simbol-simbolyang diberi adalah Rumus-rurnus ),dngbiasadigunakan. RELATIONS PERKAITAN , I

a

A

m

m

xa

m+n

n :a

n + fI:O

12

Theorem c2= a2+ b2 Py,thagoras TeoremPithagoras

IJ

m= -

1'

m- n

-

l,

xz- xt , m \n =d mn \a )

|

t4 ('l

^^-r--

oa-nl -,

I'U)

= ---

-')

o)

m= -\

/ v - interceDt ) . ---x - tntercept

m---\

I pinlasan - y = .r ) ptwqsan - x

n(e)

n(^s)

P (A ' ,)= t-P (A) Distance Jarak

(x,+x"

v,+v.\

|.,.7 ) Mi d p o i (x,y)=1 n t, Titik tengah Averagespeed=

jarak yang dilalui masayctng,diumbil

Pttrala laju =

l0

Mean

Mitt

lt

Mean

Mitt

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travclled distance --1ime]t[en

=

_ :

sumofdata d"t" ;u*b., "f hqsil --- tambahnilai dats dala bilangan sumof (midpointof intervalx frequency) sumof frequencies hasiltanMerapun) hasiltambahkekerapan t449tl

SULIT SIIAPE AND SPACE BENTUK DAN RUANG Area of trapezium

!

Luas tropezium

L x hqsil tamhqhdua sisiselari x tinggi

2

Circumference of circle = Lilitan bulatan

xd = 2tv nd - 2nj

3

Area of circle = TrrZ Luas hulutan -- rj2

4

Curvedsurfaceareaof cylinder Luaspermukaanmelengkung silinder

5

Surfaceareaofsphere Luaspermukaansfera

6

Volumeof right prism= crosssectional areax length Isipaduprisma tegak : luaskeratanrentas x panjang

7

Volumeof cylinder = *th : nj2t Isipaclusilinder

8

V o l u me o f c o n e

1

Isipadukon

>')l

Titik tengah

distancetravelled -time t a [ e n

Average speed :

jg:slzslg4l!A

Purata laju

l0

mqsa yang diambil sum of data olilrt" ""*b..

Mean

hasil tambah nilai data bilangan data

Min

sum of (midpoint of class interval x frequency)

Mean Min

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sum of freqtrencies :

hasil taylah ( nilai titik tengah selang kelas x kekerapant hasil tambah kekeruonn

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For examiner's use

For examtner use

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4 SIIAPE AND SPACE ( BENTUK DAN RUANG )

1

Area of trapezium

=

1 * ,u* of parallel sidesx height z

Luas trapezium

x hasit tambah dua sisi selari x tinggi

+z

2

Circumferenceof circle : : Liliton bulatan

3

Area of circle Luss bulatan

4

Curved surfaceareaof cylinder Luas permukaan melengktmgsilinder

5

Surface area of sphere : Luas permukaan sfera:

6

Volume of right prism - crosssectionalareax lenglh : luas kerqtqn rentas x panjang Isipadu prisna tegak

7

Volume of cylinder Isipadu silinder

= mzh ry't

8

Volume of cone

=

Isipadukon

:

Volume of sphere

=

9

d = rd :

2m 2nl

= /n2 : 7ti2

:

2mh 27tjt

47y2 4rj'

! *'t

3

I"i', J * *' J

Isipadu sfera

l0

2J "it I - x base area x height

Volume of right pyramid

J

Isipadu pyramid

tegak

=

I ; * Iuas tapak x tinggi J

I1

Sum of interior anglesof a polygon

-

(n - 2) x 180o

Hasil tambah sudut pedalqman poligon

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For examiner's u:te

arc length

:

angle subtended at centre

circumferenceof circle

3600

panjang lengkok

!!4!!2!!!L

lilitan bulatan

13

3600

area ofsector

angle subtendedat centre

area of circle

360" sudutpusat

luas sehor

360'

Iuas bulatan

14

l5

Scalefactor.-PA

k-

Faktor skal,a,

r:

Area of image: Luas imej

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:

PA' PA' pA

k2 x xeaof object k2 x luas objek

M49n

For euamirer', ute

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6 Section A Bahagian A 152marksj 152markahl Answer all questionsin this section. Jawab semua soalan dalam bahagian ini.

I

On the graph in the answer space, shade the region which satisfies the three inequalitiesr+;l >_5 ,y Sx and x < 4. Pada graf di ruqng jawapan, lorekan rantau yang ketaksamaanx+ y Z 5, y Sx dan x 1 4 .

memuaskon ketiga-tiga

13marks) 13markahf Answer /Jawapan

v \

/

5

v:

/

X /

/

\

y:5 /

0/

\

5

x \

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SULIT 2

For exgmiter's ute

Calculate the value ofx and ofy that satisfy the following simultaneous linear equations: Carikan nilai x dan nilai y yang memuoskanpersamaan linear serentak berikut:

4x+ 3y: 11 3x- Y= 5 [4 marks] 14markahj Answer lJawapan:

3

Solve the following quadratic equation: SeIesai kan pe r samaan kuadr at i k; q* *9x*

13: Z(x-5)

Answer /Jawapan:

SITLIT

14marl