paper1 f4 diagnostik 08

8/11/2019 PAPER1 F4 Diagnostik 08

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SEKOLAH BERASRAMA PENUH

BAHAGIAN PENGURUSAN

SEKOLAH BERASRAMA PENUH / KLUSTERKEMENTERIAN PELAJARAN MALAYSIA

PEPERIKSAAN AKHIR TAHUN

TINGKATAN 4 2008

Kertas soalan ini mengan!ngi "# $alaman %er&eta'

3472/1 2008 Hak Cipta SBP

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For examiner! "!e on#$

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T)TAL 80

A,,ITI)NAL 'ATHE'ATI-S

Kertas "

0!a 1am

.ANGAN UKA KERTAS S)ALAN INI

SEHINGGA ,IERITAHU

"2 This question paper consists of 25 questions2

(2 Answer all questions.

*2 Give only one answer for each question2

)2 Write your answers clearly in the spaces

provided in the question paper2

#2 Show your working. It ay help you to getarks.

+2 If you wish to change your answer! cross out

the work that you have done. Then write down

the new answer.

,2 The diagras in the questions provided are not

drawn to scale unless stated.

-2 The arks allocated for each question and su"#

part of a question are shown in "rackets.

.2 A list of forulae is provided on pages 2 and $2

"2 A "ooklet of four#figure atheatical ta"les is

provided.

""2 %ou ay use a non#prograa"le scientific

calculator.

"(2 This question paper ust "e handed in at the

end of the e&aination.

Name

Form

3472/1

A++i&iona# 'a&ema&i!

Ker&a! 1

)(&o*er 2008

2 .am


2/16

The following forulae ay "e helpful in answering the questions. The sy"ols given are the ones

coonly used.

ALGERA

1(

)(

" " ac&a

=

( a an3 a ' n

* a an3 a # n

) 4a5n3a n

# logan3 log a 6 logan

+ logan

3 log a 7 logan

, log an 3 nlog a

- loga% 3a

"

c

c

log

log

-AL-ULUS

1 y3 uv8d&

duv

d&

dvu

d&

dy+=

(v

uy= 8

(v

d&

dvu

d&

duv

dy

d&

= 8

*d&

du

du

dy

d&

dy =


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* A 9oint i:iing a segment o; a line

4&!y5 3 8("

++

n

&n&

++

n

yny ("

) Area o; triangle 3

5454(

"*"(*"("**((" "

y&y&y&y&y&y& ++++

1 0istan&e = (("

(

(" 5454 yy&& +

2 Mi9oint

(& ! y) = +

((" &&

, +

(

(" yy

GE)'ETR5


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STATISTI-

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""w

IwI =

3472/1 2008 Hak Cipta SBP 6 Lia& !e*e#a

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*

" Ar& lengt$8s3 r

( Area o; se&tor 8(3("

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f

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Answer a##questions.

12 0iagram " s$o=s t$e linear ;!n&tion f2

4a5 State t$e :al!e o; k2

4%5 Using ;!n&tion notation8 =rite a relation %et=een set A an set B2

[ (arks]

Answer> 4a5 ????????22

4%5 222???????222

2.

T$e ;ollo=ing in;ormation a%o:e re;ers to t$e ;!n&tions f an g2

4a5 State t$e :al!e o; h2

4%5 @in t$e :al!e o; 5*4"fg 2

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Answer > 4a5 ????????2

(%) ..............................


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Set A Set B

0iagram "

f


6/16

3. Gi:en t$e ;!n&tion "(> &&f an "+> + &&fg 2 @in

4a5 t$e ;!n&tion g4&5

4%5 t$e :al!e o;&=$en )54 =&gf 2

)arks

Answer> 4a5222222222???????

4%52222222222222222222222222222222222222

4 Gi:en t$at t$e roots o; t$e C!arati& eC!ation k&& = #"( are * an p2@in t$e :al!e o; kan o; p2

)arks

Answer> k3222222222???

p /....................

T$e C!arati& eC!ation /"(( ( =+ p&& $as t=o istin&t roots2 @in t$e range o;

:al!es o; p2

(mar's

Answer> 2222222222222???


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&

#

0iagram (

5)8"4 +k

y

2 0iagram ( s$o=s t$e gra9$ o; t$e ;!n&tion p&y += (5*4 =$erepis a &onstant anis a minim!m 9oint2

@in

a5 t$e :al!e o; k2

%5 t$e :al!e o; p2

[ (

arks

Answer> 4a5 22222222222222222222222222222222

4%5 222222222222222222222222222222222

999999999999999999999999999999999999999999999999999999999999999999999999999

7. @in t$e range o; :al!es o;&;or =$i&$ 2

*

arks

Answer> 2222222222222222222222222222222222

82 Sol:e t$e eC!ation )## "( = ++ && 2

*

arks

Answer> ??2??????2


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7

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8


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:2 Gi:en &p =*log an yp =(log 8 eD9ress "(log- in terms o;& any2

* arks

Answer> 2222222222222222222222222222222222

10 Sol:e t$e eC!ation /5"4log5(*4log ** =+ &&

) arks

Answer> 22222222222222222222222222222222222

112 T$e 9oints 5(848584 r0ttA an 5(8.4 * are on a straig$t line20i:iesA*

internall in t$e ratio o; * > ) 2 @in t$e :al!e o; tan o; r 2

* arks

Answer> t 3 222222222222222222222222222222


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r / 222222222222222222222222222222

12 0iagram * s$o=s a straig$t line0-=it$ eC!ation /"(*) =+ y& 2

@in

4a5 t$e :al!e o; han o; k

4%5 t$e eC!ation o;0-in inter&e9t ;orm2

*

mar's

Answer> 4a5 2222?????222???22

4%5 22222222222222222222222222222222222222222

132 @in t$e eC!ation o; t$e straig$t line t$at 9asses t$ro!g$ a 9oint 5"8*40 an is

9er9eni&!lar to t$e straig$t line ")#=+ y& 2

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*

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*

12

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13

04k85

-48h5

&

y

O

0iagram *


10/16

Answer1?222????22?2222222

14 T$e &oorinates o; 9oint0an -are 5"8*4 an 5"/8+4 res9e&ti:el2 T$e 9oint

mo:es

s!&$ t$at 0>- 3 ( > * 2 @in t$e eC!ation o; t$e lo&!s o;2

* arks

Answer1?222?2???22?222222222222222222222

999999999999999999999999999999999999999999999999999999999999999999999999999

1 Ta%le " s$o=s t$e istri%!tion o; t$e =eig$t o; ) 9!9ils in ;orm ) Al9$a2

Ta%le "

4a5 @in t$e range o; t$e =eig$t2

4%5 Fit$o!t ra=ing an ogi:e8 &al&!late t$e meian o; t$e istri%!tion o; =eig$t2

) arks


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Feig$t 4'g5 N!m%er o; 9!9ils

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Answer > 4a5 ????????2

4%5 ?2??????2222212 T$e mean o; ten n!m%ers is 2 T$e s!m o; sC!ares o; t$e n!m%er is kan t$e

stanar e:iation is )2 ED9ress kin terms o; 2

( arks

Answer>2???????

17 0iagram ) s$o=s a &ir&le =it$ &entre 32

T$e lengt$ o; t$e minor ar&A*is *2.(,# &m an t$e angle o; t$e ma1or se&torA3*is

*"#o2 Using ")(2*= 8 ;in

4a5 t$e :al!e o; 8 in raians8

4Gi:e o!r ans=er &orre&t to ;o!r signi;i&ant ;ig!res25

4%5 t$e lengt$8 in &m8 o; t$e rai!s o; t$e &ir&le2

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13/16

Answer1?????????

202 E:al!ate t$e ;ollo=ing limits8

4a5"

"lim

" + &&

4%5*

.lim

(

*

&

&

&

*arks

Answer14a5 2222????22?2222222

4%5 222222222222222222222222222222222


14/16

Answer> ????????22

23 Gi:en t$e &!r:e((

"

&&y += 2

4a5 @in t$e &oorinates o; t$e t!rning 9oint2

4%5 Hen&e8 etermine =$et$er it is a maDim!m or a minim!m 9oint2

) arks

Answer14a5?222????22?2222222

4%5222222222222222222222222222222222222


15/16

Answer> 4a5???????????

4%5???????????

(#2 Gi:en&

&y

(5(4 = 8 ;in t$e :al!e o;

(

(

d&

yd =$en "=& 2

) mar's

Answer1?222????22?2222222


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