Skema Jawapan k1 & k2

7/24/2019 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



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



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

;



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 *

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

4



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 +

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

-



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

<



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

=



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



SULIT 14491! 14492

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

9



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

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

10



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



%

$

:

#

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

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

12



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;



re8enc3

*

1

+

4

2

,

-

.

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

9

1.

Marks

SULIT 14491! 14492

%o 14.

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

14

Skema Jawapan k1 & k2

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