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7/24/2019 Skema Jawapan k1 & k2 http://slidepdf.com/reader/full/skema-jawapan-k1-k2 1/14 1449/1 &1449/2(PP) Mathematics Paper 1/2 JABATAN PENDIDIKAN NEGEI PEAK M!"KTE#T TINGKATAN $IMA #IJI$ PE$AJAAN MA$A%#IA MATEMATI"# 1449/1 & 1449/2 MAKING #"EME  PERATURAN PEMARKAHAN Mar's % 100 ) 140 2 1 (  × +  Paper  Paper This Marking Scheme consist of 14 printed pages

Skema Jawapan k1 & k2

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Page 1: Skema Jawapan k1 & k2

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1449/1 &1449/2(PP)

Mathematics

Paper 1/2

JABATAN PENDIDIKAN NEGEI PEAK 

M!"KTE#TTINGKATAN $IMA

#IJI$ PE$AJAAN MA$A%#IA

MATEMATI"# 1449/1 & 1449/2

MAKING #"EME

 PERATURAN PEMARKAHAN 

Mar's %100)

140

21(   ×+ Paper  Paper 

This Marking Scheme consist of 14 printed pages

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SULIT 14491! 14492

MATEMATI"# PAPE 1

1 A 11 " 21 D 1 A

2 " 12 B 22 D 2 "

" 1 B 2 D A

4 B 14 " 24 B 4 A

* B 1* A 2* B * D

+ D 1+ A 2+ A + A

, D 1, B 2, D , B

- D 1- B 2- B - D

9 " 19 A 29 " 9 B

1. " 2. " . D 4. D

MATEMATI"# PAPE 2

"#$% $&'*M+,T&ST2 201- SULIT

2

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SULIT 14491! 14492

#ecti0 A

 %o. Marking Scheme Marks

1.a)

 /)

 %ote

(U') correct3shaded a5ard 1 mark.

1

2

2

 x 6 y 7 -- or e8i:aent or  ; x 6 2 y 7 14- or e8i:aent

; x 6 ; y 7 1<- or  e8i:aent

+' 

 x 7 -- – yor  e8i:aent (1)

+' 

   

  

  y

 x

7 );(1)2(1

1

−      

  

 −

−1;

12

   

  

 14-

--

  (2)

 x 7 ;-  y 7 20

1

1

11 4

;. 0=<2 =−+   x x

( ) ( )   01=   =−+   x x

1

11

"#$% $&'*M+,T&ST2 201- SULIT

P

Q

R

Q

RP

;

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T

U

$

S

>

12 cm

1< cm

- cm

SULIT 14491! 14492

 x 7 ?= x 7 14=d 

1

4

4.

a)

 /) tan @  1;

A

  @ 7 B;<;1C<1.;1   00

1

1

1

-. a)

 /)

  0 D 2 y D 1A 7 0

  y 7 E 9

 %ote

ccept ans5er 5ithot 5orking a5ard 2 marks.

m PN  7 2

1

(from e8ation) orm PN  7 01A

)9(0

−−−

7 2

1

  = 7 2

1

(4) 6 c

 y 7 2

1

 x 6 -

1

1

1

1

1 *

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SULIT 14491! 14492

< a)

 /)

c)

1

2  F < F 1A

 -4

1(9 1-) 1A

2

1-

× + ×

14

2

- or 14.4

  14 F t   or

1

2  ( t 6 t D < )×  1A

  1;.-

1

1

1

1

1

1 +

= a)

 /)

c)

(i) False(ii) True

Implication 1: If sin θ  =0.5, then θ  =0   °

Implication ! : If θ  =0   ° , then sin θ  = 0.5

360

8  or "5   °

1

1

1

1

1 *

A.

a)

 /)

n = #

$ote :1

(6 ) (3 )−(−5 )(−4) % (matri&)seen a'ar1

mar

(   1 1

25 105)( x y) = (   78

4830)( x y )=

  1

(1 ) (105 )− (1 )(25) ( 105   −1

−25 1 )(   78

4830) x = "! ,  y  = *

2

1

1

11 +

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-

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SULIT 14491! 14492

9

=

22

×; ×  ; ×  =

=

22

×; ×  ; ×; or 2

1

× ;

4

× =

22

×; ×  ; ×;

=

22

×; ×  ; ×  = G ( =

22

×; ×  ; ×; 6 2

1

× ;

4

× =

22

×; ×  ; ×;)

-<.-= or  =

;9<

  or -< =

4

1

1

1

1 4

10a)

 /)

1A0 222 -

;<0 =× × ×

or 

<0 222 2.-

;<0 =× × ×

e8i:aent1A0 22 <0 22

2 - 2 2.-

;<0 = ;<0 =

× × × + × × ×6- 6 2.- 6 2.-or  e8i:aent

2A.;; or 

;;2A

100   or 

2A;;

100

21A0 22-

;<0 =× ×

or 

2<0 222.-

;<0 =× ×

or e8i:aent

21A0 22-

;<0 =× ×

 6

2<0 222.-

;<0 =× ×

  1A <

2− × ×

or e8i:aent

1A.-< or 141A2- or 

4<42-

1

1

1

1

1

1 +

11.a) +tcome of Ho

 Kesudahan Kotak Q

H ,

1 (1,B) (1,C)

2 (2,A) (2,B) (2,C)

; (3,A) (3,B)

2

"#$% $&'*M+,T&ST2 201- SULIT

<

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SULIT 14491! 14492

 /)

   +  9

   t  c  o  m  e  o   f   H  o  I   $

   K  e  s  u   d  a   h  a  n   K  o   t  a   k   P 4 (4,A) (4,B)

 %ote1. +ccept ! mistaes for 1 mar.!. +ccept 'ithout racets.

 i)

J(1H) (2H) (;H) (4H)K

12

4

or e8i:aent.

ii)

J(1) (1H) (1,) (2,) (;) (;H) (;,) (4,)K

12A

or e8i:aent.

1

1

1

1

+

"#$% $&'*M+,T&ST2 201- SULIT

=

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SULIT 14491! 14492

12 a)

 /)

c)

d)

 y 7 11  y 7 ? -

 Note

1) if points are correct3 marked on the graph

2) the cr:e passes eact3 throgh the points.

Graph :es are dra5n in the correct direction 5ith niform

scae. in the range E;.- ≤ x ≤  ;.- and −1- ≤ y ≤ 1=.

= points and 2 points are correct3 marked

Smooth cr:e and continos3 in range of 

 E ;.- ≤ x≤  ;.- 5ith no straight ine part and passing throgh a the correct 9 points.

 Note(i)= C Apoints are correct3 potted a5ard 1 mark 

  (ii)+ther scae sed dedct 1 mark.

(i) -.4 ≤  3 ≤  -.-

(ii) ;.; ≤ x≤  ;. 4

Straight ine  y 7 - x− - correct3 dra5n and meet the

cr:e.

The e8ation  y 7 - x− - a5ard 1 mark 

The :ae of x  ;.2 ≤ x≤  ;.;

0.< ≤ x≤  0.=

 Note

(i) The -alue of  x otaine calculation,

no mara'ar.

11

1

2

1

1

1

2

1

1

12

"#$% $&'*M+,T&ST2 201- SULIT

#ecti0 B

A

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SULIT 14491! 14492

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9

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2

1*

3 7 - -

;; A y x x= − +

SULIT 14491! 14492

1;

(a)(i)

(ii)

()(i)

(ii)

(1,/)(!,") seen mare a'ar 1

(#5,#5)(#",!) seen mare a'ar 1

P Re2ection in the line = #1Q 3nlar4ement, scale factor = !, centre (0,#/)

 x   1*.5 = !!

 x  x = 1*.5

 x = 5.5

!

!

!

!

112

14 (a)

"3ass I0tera3 Mi5pi0t 6re78e0c

I 65 - 69 +, 2

II 70 - 74 ,2

III ,* ,9 ,, *

I> -. -4 -2 9

> -* -9 -, ,

>I 9. 94 92

>II 9* 99 9, 1

  ,ass inter:a (II to >II) a correct

  Midpoint (I to >II) a correct

re8enc3 (I to >II) a correct

 %ote - or < fre8enc3 are correct a5ard 1 mark 

(/)

;0

)19=();92()=A=()9A2()-==();=2()2<=(   ×+×+×+×+×+×+×

or ;0

24--

  A1.A; or

-A1

< or 

491

<

11

2

2

1

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10

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SULIT 14491! 14492

(c) Nistogram

es dra5n in the correct direction 5ith niform scaes. x?ais is a/eed /3 midpoints cass /ondaries cass

  inter:as.

  = /ars are correct3 dra5n

  ,ompete histogram

 %ote

  - or < /ars are correct3 dra5n a5ard 1 mark.

(d) Moda ,ass 7 A0 D A4

 %ote1. +ccept an reasonale information.!. 6o not accept information 'ithout histo4ram.

11

2

1

12

1- (a)P3a0

The shape mst /e right 5ith the rectanges. ines mst /e f3dra5n.

2 cm

) cm

+ cm

Measrement mst /e accrate to ± 0.2 cm and a anges at

rectange :erte 7 90o ± 1

 %ote ,orrect shape dra5n a5ard 1 mark on3

;

"#$% $&'*M+,T&ST2 201- SULIT

11

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 %

$

:

 

#

SULIT 14491! 14492

 /) i

 /) ii

E3eati0 ;

The shape mst /e right 5ith the haf of a circe. ines mst /ef3 dra5n.

1 cm

2 cm4 cm

1 cm

1 cm; cm

2 cm

- cm

Measrement mst /e accrate to ± 0.2 cm and a anges at

rectange :erte 7 90o ± 1 %ote ,orrect shape dra5n a5ard 1 mark on3

E3eati0 %

The shape mst /e right 5ith the rectanges. ines incded the

dotted ines mst /e sho5n compete3.

1 cm

1 cm

1 cm

2 cm

< cm

 %ote ,orrect shape dra5n a5ard 1 mark on3

4

-

12

1<

a)

' (<0° S 1<0°O)

1

1

2

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12

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SULIT 14491! 14492

 /)

c) i)

ii)

 %ote <0°S or 1<0° O a5ard 1 mark 

<0 × <0

;<00

A00 × 4.-

;<00

o<0cos

;<00

 %ote Using ,os <0P a5ard 1 mark 

<0<0

;<00

Cos×   − 20° or 120°− 20°

100°O

1

1

1

1

2

1

1

12

TN& &%Q + M'I%R S,N&M&

"#$% $&'*M+,T&ST2 201- SULIT

1;

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re8enc3

 *

1

 +

 4

  2

 

,

-

 .

,, -2 92 9,-,,2+,

9

1.

Marks

SULIT 14491! 14492

 %o 14.

"#$% $&'*M+,T&ST2 201- SULIT

14