mm f4 akhir tahun 2015 (bm).docx

8/17/2019 mm f4 akhir tahun 2015 (bm).docx

1/18

SULIT

SULIT 1449/2

PEPERIKSAAN AKHIR TAHUN 2013

TINGKATAN 4

This question ppe! "onsists o# 21 p!inte$ p%es&

'ATHE'ATI(AL )*R'ULAE

1449/2 + 2015 [Liht h,-n se.e,hSULIT

NAME :………………………………………….……..

FORM: 4…………………

1449/2

Mathematics

Paper 2

OKTOBER

2013

SMK TINI PEREMPU!N MEL!K!

'ATHE'ATI(S

Paper 2

Two hours and thirty minutes

* N*T *PEN THIS UESTI*N PAPER UNTIL *U ARE

T*L T* * S*

1. This uestion paper !onsist two se!tion: Secti"# ! and Secti"# B.

Answer a"" uestions in Secti"# ! and in Secti"# B$

2. This uestion paper is #i"in$ua".

%. &rite your answers in the spa!es pro'ided in the uestion paper.

4. &or(in$ step must #e written !"ear"y.

). *ia$ram $i'en is not a!!ordin$ to s!a"e un"ess stated.

+. Mar(s ,or ea!h uestion are $i'en in #ra!(et.

-. A "ist o, ,ormu"ae is $i'en in pa$es 2 and %.

. Non pro$ramma#"e s!ienti,i! !a"!u"ator are a""owed.

/e!tion 0uestio

n

Fu""

mar(

Mar(s

o#tained

!

1 %

2 4

% 4

4 %

) 4

+ )

- +

+

+

1 )

11 +

B

12 12

1% 12

14 12

1) 12

Tota"


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SULIT 1449/2

The ,o""owin$ ,ormu"ae may #e he"p,u" in answerin$ the uestions. The sym#o"s $i'en are the

ones !ommon"y used..

RELATI*NS

1 nmnm aaa +=×

2 nmnm aaa −=÷

3mnnm aa =)(

4

−

−−

=−a!

#d

#!ad A

11

5 ( )/ n An

A P

)(

)( =

6 )(1)'( A P A P −=

72

12

2

12 )()(Distance y y 3 3 −+−=

8 Midpoint ,

++=

2,

2),( 2121

y y 3 3 y 3

9 Avea!e speed " ta#enti$e tave%%eddistance

10 Mean " datao& n$e

datao& s$

11 Mean s&eencieo& s $

&eenc*$a#o&(c%asss $ ×=

12 +*ta!oas -eoe$222 #a! +=

13 12

12

3 3

y ym

−−

=

14 eceptint

eceptint

−−

−= 3

ym



3/18

SULIT

SULIT 1449/2

SHAPES AN SPA(E

1 Aea o& tapei'$ " 2

1

× s'$ o& paa%%e% sides × ei!t

2 /ic'$&eence o& cic%e " r d π π 2=

3 Aea o& cic%e "2r π

4 /'ved s'&ace aea o& c*%inde " rhπ 2

5 '&ace aea o& spee "24 r π

6 o%'$e o& i!t pis$ " coss sectiona% aea × %en!t

7 o%'$e o& c*%inde " hr 2

π

8 o%'$e o& cone "hr

2

3

1π

9 o%'$e o& spee "

3

3

4r π

10 o%'$e o& i!t p*a$id "×

3

1

ase aea × ei!t

11 '$ o& inteio an!%es o& a po%*!on " (n 2) × 180

12o360

cent e atst endedan!%e

cic%eo& nceci c$&ee

%en!tac=

13

o

360

cen teatstendedan ! %e

cic%eo & aea

secto o & aea=

14 ca%e &acto, ( " PA

PA'

15 Aea o& i$a!e " ( 2 × aea o& oect



4/18

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SULIT 1449/2



5/18

SULIT

+

M

SULIT 1449/2

h%in A

[52 mar(ah

awa# semua soa"an da"am #aha$ian ini

1 a) a$a aa di 'an! a:apan $en'n'##an set + dan set , den!an #eadaanset se$esta, ; " 0 P .


6/18

SULIT

SULIT 1449/2

2 >it'n! ni%ai p dan ni%ai *an! $e$'as#an pesa$aan %inea seenta# ei#'t =

52

4

1=+ p

84 =+ p [4mar(ah

?a:apan =

3 e%esai#an pesa$aan #'adati# ei#'t=

3

3 3

)4(23

+=

[ 4

mar(ah

?a:apan =



7/18

SULIT

? @


8/18

SULIT

aa 6

+

E

* ( 8 , 9 )

SULIT 1449/2

Diei ?@ " 8 c$ dan tin!!i pia$id ia%a 12 c$, it'n!#an isipad', da%a$ c$3,

pepea% *an! tin!!a% it'. ( 'na π " 3.142 )

[4 mar(ah

?a:apan :

Da%a$ aa 6 , E ia%a asa%an. ais %''s ada%a se%ai den!an !ais %''s +.

+esa$aan !ais %''s ia%a2

4

3−= 3 y

.



9/18

SULIT

-

+

M

Dia!a$ 7aa 7

SULIT 1449/2

/ai

a) #oodinat titi#

) pesa$aan !ais %''s +.

[ 5 $a#a

?a:apan=

(a)

()

5 aa 7 $en'n'##an se'a se#to M+, se#to M- dan se$i'%atan +

ep'sat di M.

Diei aa:a + " 3+M, M " 7 c$ dan ∠ M " 120o. Den!an $en!!'na#an



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SULIT

A

F /

A

F /

SULIT 1449/2

π " 7

22

, it'n!

(a) pei$ete, da%a$ c$, se%'' aa.

() %'as, da%a$ c$2, #a:asan e%oe#

[6 $a#a

?a:apan =

(a)

()

8 a$a aa enn di 'an! a:apan $en'n'##an set A, set F dan set / den!an

#eadaan set se$esta 9 : A ∪∪=ξ .

+ada aa di 'an! a:apan, %oe# set

(i) A ∩ F 6

(ii)9 : A ∪∩ )(

[3 $a#a

?a:apan =

(i)

(ii)



11/18

SULIT

aa 10

+ +G G /H


12/18

SULIT

SULIT 1449/2

() (i)

(ii)

11 (a)


13/18

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281123272015302427251719162325262917231220212328

2919332423242531

aa 14

SULIT 1449/2

H$p%i#asi 2 = KKKKKKKKKKKKKKKKKKKKKKKKKKK...

K.

(d) KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

K.K

KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK

KK.

h%in

[48 mar(ah

awa# semua soa"an .

12. Data da%a$ aa 14 $en'n'##an ti$an!an eat , da%a$ #!, a!i 32 $'id da%a$

se'a tadi#a.

a) Fedasa#an data da%a$ aa 14 dan den!an $en!!'na#an se%an! #e%as 3,

%en!#ap#an ?ad'a% 14 di 'an!an a:apan..

) Fedasa#an ?ad'a% 14 di (a), it'n!#an $in eat, da%a$ #!.

c) Den!an $en!!'na#an s#a%a 2 c$ #epada 3 #! pada pa#si $en!'&'# dan 2 c$

#epada 1 $'id pada pa#si $encancan!, %'#is#an sat' isto!a$ a!i data

tese't

d) *ata#an sat' $a#%'$at edasa#an isto!a$ di 14(c)

?a:apan =

(a)

Se,n% Ke,s Ke7e!pn Titi7 Ten%h

10 12



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SULIT 1449/2

.

?ad'a% 14

()

(d) ..........................................................................................................................................



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G!# #o! So,n 14

SULIT 1449/2

13 (a) aa 7 $en'n'##an se'a pis$a te!a# den!an se!i ti!a sa$a #a#i A9 sea!ai#eatan entas sea!a$n*a. = dan > ia%a titi# ten!a a!i 9 dan EF $asin!C$asin!.

aa 7 $en'n'##an se'a pis$a te!a# den!an se!i ti!a sa$a #a#i A9 sea!ai #eatan entas

sea!a$n*a. = dan > ia%a titi# ten!a a!i 9 dan EF $asin!C$asin!.



16/18

SULIT

+

3 c$

4 c$o

M

SULIT 1449/2

13. (a)

(c) Da%a$ aa 15, ada%a !ais %''s.

/ai

(i) ni%ai M(os

(i) ∠+ [4 $a#a

?a:apan =

(a)

()


Ra8ah 1)


17/18

SULIT

SULIT 1449/2

(c) (i)

(ii)

1 aa 7 $en'n'##an se'a pis$a te!a# den!an se!i ti!a sa$a #a#i A9 sea!ai #eatan

entas sea!a$n*a. = dan > ia%a titi# ten!a a!i 9 dan EF $asin!C$asin!.

R8h 5

Diei 9 " 10 c$.

(a) @ia panan! *.

() a$a#an s'd't di antaa !ais *= den!an sata *EF .

(c) @ia s'd't di antaa sata *9 den!an sata 9FE .

[6 mar(ah

?a:apan=

14 aa 7 $en'n'##an se'a pis$a te!a# den!an se!i ti!a sa$a #a#i AF/ sea!ai #eatan

entas sea!a$n*a. dan > ia%a titi# ten!a a!i F/ dan GN $asin!C$asin!.



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SULIT 1449/2

aa 7

Diei F/ " 10 c$.

(a) @ia panan! *.

() a$a#an s'd't di antaa !ais *= den!an sata *EF .

(c) @ia s'd't di antaa sata *9 den!an sata 9FE .

[6 $a#a

?a:apan=

EN *) UESTI*N PAPER


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