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NAMA :.........................................................

KELAS : .......................................................

SEKOLAH MENENGAH KEBANGSAAN MIHARJA

TAMAN MIHARJA, 55200 CHERAS

KUALA LUMPUR

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Matemat!

Ke"ta# 1

O!t$%e" 201&

2

11 jam

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PEPERIKSAAN AKHIR TAHUN

TINGKATAN 4

MATEMATIK

KERTAS 1

SATU JAM LIMA BELAS MINIT

JANGAN BUKA KERTAS SOALAN INI SEHINGGA 'IBERITAHU

Calon dikehendaki membaca maklumat di halaman 2

Disediakan oleh:

Disemak oleh:

Disahkan oleh:

.

((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((This question paper onsists o! 1" printed pa#es.

(Kertas soalan ini terdiri daripada 17 halaman bercetak)

IN)ORMATION )OR CAN'I'ATES

1. This question paper consists of 40questions.1499/1

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2

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2. Answer allquestions.

. Answer each question b! blackenin" the correct space on the answer sheet.

#. $lacken onl! onespace for each question.

%. &f !ou wish to chan"e !our answer' erase the blackened mark that !ou hae done. Then

blacken the space for the new answer.

. The dia"ram in the question proided is not drawn to scale unless stated.

7. A list of formulae is proided on pa"e .

*. A booklet of four+fi"ure mathematical tables is proided.

,. -ou ma! use a non+pro"rammable scientific calculator.

MATHEMATICAL )ORMULAE

The followin" formulae ma! be helpful in answerin" the questions. The s!mbols "ien are the

ones commonl! used.

RELATIONS

1 am $ an a m/ n

2 am

an

amn

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%

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% ( am)n a mn

& A'1(bcad

1

ac

bd

) Distane ( 2 22 1 2 1

* + * +0 0 ! ! +

, Midpoint- *0' !+ (

++

2-

2

2121 !!00

" Aera#e speed (

/ Mean (

0 Mean (

1 3tha#oras Theorem

c2 a2/ b2

11 ( A )(+*

+*

2n

An

12 ( A) 1 (A)

1% m(12

12

00

!!

1& m(

SHAPES AN' SPACE

1 Area o! trape4ium (2

15 sum o! parallel sides 5 hei#ht

2 6irum!erene o! irle ( d( 2r

% Area o! irle ( r2

& 6ured sur!ae area o! 3linder ( 2rh

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&

sum o! data

num7er o! data

sum o! *lass mark 5 !requen3+

sum o! !requenies

!'interept

0'interept

distane traelled

time taken

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) Sur!ae area o! sphere ( &r2

, 8olume o! ri#ht prism ( ross setional area 5 len#th

" 8olume o! 3linder ( r2h

/ 8olume o! one (%

1r2h

0 8olume o! sphere (%

&r%

1 8olume o! ri#ht p3ramid (%

15 7ase area 5 hei#ht

11 Sum o! interior an#les o! a pol3#on ( ( n2+ 5 1/9

12%,

entreatsu7tendedan#le

irleo!neirum!ere

len#thar=

1%%,

entreatsu7tendedan#le

irleo!area

setoro!area=

1& Sale !ator - k (1A

1A:

1) Area o! ima#e ( k 2 5 area o! o7jet

1 ;ound o!! .&0" orret to t

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2 E$press 1.2/ 5 1)as a sin#le num7er.

4n"kapkan 1.2/ 5 1)seba"ai satu nombor tun""al.

A .12/ C 12/

B .12/ ' 12 /

% &.%1 5 1 )2.) 5 1, (

A 1./1 5 1, C &., 5 1,

B 1./1 5 1) ' &., 5 1)

& A !ator3 onsumed %., 5 1)m%o! ind the alue o!0 / !.

Cari nilai 0 / !.

A 1/& C 2&

B 102 ' 212

, =n Dia#ram 2- =is the entre o! a irle and6is a tan#ent to the irle at ?.

;alam a

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>ind the alue o!0.

Cari nilai 0.

A &) C 11)

B 0 ' 22

" =n Dia#ram %-A$Cis the tan#ent to the irle$;>?at the point @.

;alam a

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/ =n Dia#ram &- 6is the ima#e o!under an lok

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1 hih o! the !olloind the alue o! os0o.

;iberi bahawa 2% cm'6 1% cm' dan 12 cm. Carikan nilaikos0o.

A

1"

/

C

1"

/

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0

'a"am

Rajah !

P

Q R

x

S

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B

1"

1)

'

1"

1)

1% Dia#ram " sho?and$Crespetiel3.

a?D5

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1

E F

"

V

#

$

%

'a"am 9

Rajah &

'a"am

Rajah '

P Q

S

T

VU

R

W

(

'a"am .

Rajah ) E

A B

CD

F

%

$

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A :@B C :?5B :@5 ' :D5

1, Dia#ram 1 sho

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6alulate the len#th- in m- o!6.

5itun" pan

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A

m

mn

2

1% += C

2

%

=

m

mn

B 12

%

= mm

n ' m

mn +

= 1

1%

2% Cien that 2%) ba = - e$press b in terms o! a .;iberi bahawa 2%) ba = ' n!atakan b dalam sebutan a .

A

%

) ab

+=

C

%

) ab

+=

B

%

) ab

+=

'

%

) ab

=

2& Simpli!3 *m%+2 m&.in"kaskan(m)2 m#

A m C m0

B m2 ' m1

2) Cien that %12) ( )n- !ind the alue o! n.

;iberi 12% %n' cari nilai n

A & C )

B , ' "

2,>ind the solution o! the simultaneous inequalities 2

%

10 and 11,1

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>requen3

Kekerapan, 12 / )

6alulate the mean mark.

5itun"kan markah min.

A ) C ,).""

B , ' ").21

20 Dia#ram 1& 7elo< is a pito#raph shoe7ruar3 and April are not sho

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The re#ionis equialent to the re#ion

antau setara den"an rantau

A ; S C ; S

B ; S ' * ;S+

%1 Dia#ram 1, is a 8enn dia#ram shoind the num7er o! su7set o! set

8.

;iberi bahawa set 8 H 0 I 0 ialah faktor ba"i ' 3 E 0 E 13J. Cari bilan"an subset

ba"i set 8.

A & C 12B / ' 1,

%% Ta7le 2 sho

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;eadin#

Bembaca))

la3in# sports

$ersukan,1

;eadin# and pla3in# sport onl3

Bembaca dan $ersukan saha

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A ard is hosen at random. State the pro7a7ilit3 that the ard hosen is la7elled L.

ekepin" kad dipilih secara rawak. @!atakan kebaran"kalian bahawa kad !an"

dipilih itu berlabel L.

A

0

1 C

0

"

B

0

2 '

0

/

%, Dia#ram 10 sho

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%/ kk 2+%*2 2 (

A 2k2,k 1) C 2k212k ,

B 2k2,k , ' 2k21&k 1/

%0 Dia#ram 2 sho

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& =! the #radient o! a strai#ht line is & and its !'interept is 2- state the equation o! that

strai#ht line.

Fika kecerunan suatu "aris lurus ialah # dan pintasan+! ialah 2' n!atakan persamaan

ba"i "aris lurus tersebut.

A !( &0 2 C !( 20&

B !( &0 / ' !( /0&

8 EN' O) UESTIONS 8ERTAS SOA(A$ TA%AT

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