Skema Jawapan Matematik SPM MIBF 2013 (Set 2)

8/9/2019 Skema Jawapan Matematik SPM MIBF 2013 (Set 2)

http://slidepdf.com/reader/full/skema-jawapan-matematik-spm-mibf-2013-set-2 1/15

Skema jawapan ini mengandungi 13 halaman bercetak.

MODUL ITEM BERFOKUS (SET 2) DAERAH KLANG

MAJLIS PENGETUA SEKOLAH MENENGAH

CAWANGAN KLANG

PERATURAN PERMARKAHANMODUL ITEM BERFOKUS (2) DAERAH KLANG

SIJIL PELAJARAN MALAYSIA 2013

______________________________________________________

MATHEMATICS 1449KERTAS 1 !" KERTAS 2

______________________________________________________



SIJIL PELAJARAN MALAYSIA 2013

MATHEMATICS 1449

SIFIR MARKAH

1 .= 1% 31 .= 22% 61

.

= 44% 91 .= 65%

12

1 .= 86%

2 .= 1% 32 .= 23% 62.= 44% 92 .= 66%

122 .= 87%

3 .= 2% 33 .= 24% 63

.

= 45% 93 .= 66%

12

3 .= 88%

4 .= 3% 34 .= 24% 64

.

= 46% 94 .= 67%

12

4 .= 89%

5 .= 4% 35 .= 25% 65

.

= 46% 95 .= 68%

12

5 .= 89%

6 .= 4% 36 .= 26% 66

.

= 47% 96 .= 69%

12

6 .= 90%

7 .= 5% 37 .= 26% 67

.

= 48% 97 .= 69%

12

7 .= 91%

8 .= 6% 38 .= 27% 68

.

= 49% 98 .= 70%

12

8 .= 91%

9 .= 6% 39 .= 28% 69

.

= 49% 99 .= 71%

12

9 .= 92%

10 .= 7% 40 .= 29% 70

.

= 50%

10

0 .= 71%

13

0 .= 93%

11 .= 8% 41 .= 29% 71

.

= 51%

10

1 .= 72%

13

1 .= 94%

12 .= 9% 42 .= 30% 72

.

= 51%

10

2 .= 73%

13

2 .= 94%

13 .= 9% 43 .= 31% 73

.

= 52%

10

3 .= 74%

13

3 .= 95%

14 .= 10% 44 .= 31% 74

.

= 53%

10

4 .= 74%

13

4 .= 96%

15 .= 11% 45 .= 32% 75

.

= 54%

10

5 .= 75%

13

5 .= 96%

16 .= 11% 46 .= 33% 76

.

= 54%

10

6 .= 76%

13

6 .= 97%

17 .= 12% 47 .= 34% 77

.

= 55%

10

7 .= 76%

13

7 .= 98%

18 .= 13% 48 .= 34% 78

.

= 56%

10

8 .= 77%

13

8 .= 99%

19 .= 14% 49 .= 35% 79

.

= 56%

10

9 .= 78%

13

9 .= 99%

20 .= 14% 50 .= 36% 80

.

= 57% 110 .= 79%

14

0 .= 100%

21 .= 15% 51 .= 36% 81.= 58% 111 .= 79%

22 .= 16% 52 .= 37% 82

.

= 59% 112 .= 80%

23 .= 16% 53 .= 38% 83

.

= 59% 113 .= 81%

24 .= 17% 54 .= 39% 84

.

= 60% 114 .= 81%

25 .= 18% 55 .= 39% 85

.

= 61% 115 .= 82%

26 .= 19% 56 .= 40% 86

.

= 61% 116 .= 83%

27 .= 19% 57 .= 41% 87

.

= 62% 117 .= 84%

28 .= 20% 58 .= 41% 88

.

= 63% 118 .= 84%

29 .= 21% 59 .= 42% 89

.

= 64% 119 .= 85%

1449 # 2013 H!$ C%&'! MPSM C!!"!" K*!" S+*%'

2



2

−4

6

30 .= 21% 60 .= 43% 90

.

= 64%

12

0 .= 86%

MATHEMATICS (1449!1)

PAPER 1

NoSoalan

Jawapan

NoSoalan

Jawapan NoSoalan

Jawapan NoSoalan

Jawapan

1 C 11 21 ! 31 !

2 " 12 22 C 32 "

3 ! 13 23 " 33 "

4 14 ! 24 34 C

# C 1# C 2# 3# "

6 16 " 26 C 36 "

$ C 1$ " 2$ ! 3$ !

% ! 1% C 2% ! 3% C

& C 1& 2& 3& !1' 2' " 3' " 4'

MODUL ITEM BERFOKUS (2) PPD KLANG 2013

MATHEMATICS PAPER 2(1449!2)

S"#$%&' A

#2 mark(

N& M*+,%'- S#."/"M*+,

S/*+, T&$* M*+,

1

"raw the (traight dotted line y ) #

*egion (haded correctl+

1 mark

2 mark( 3

1449 # 2013 H!$ C%&'! MPSM C!!"!" K*!" S+*%'

3



N& M*+,%'- S#."/"M*+,

S/*+, T&$* M*+,

2 4v , $)2v ,6 or 1'u− 4 v = 12 or u ) #

2

v , #

6

or

e-uialent

2v ) 1 or #u = # or e-uialent

2

1

1

−=

=

v

u

1 mark

1 mark

1 mark

1 mark

4

3

'1662 =−− y y

1 mark

4

'/2/0%0 =+− y y 1 mark

2

%

−==

y

y 1 mark

1 mark

4 0a/

1449 # 2013 H!$ C%&'! MPSM C!!"!" K*!" S+*%'

4



N& M*+,%'- S#."/"M*+,

S/*+, T&$* M*+,

1 mark

3

0b/ tan ∠ BHC ) #12

∠ BHC ) tan−1 #12

) 6$.3%° or 6$° 23

1 mark

1 mark

# 0a/ 0i/ Some 5 Sebilangan

ll 5 Semua

0b/ 7 x > #8 then x 9 $.

al(e

Jika x > #8 maka x > $.

Palsu

0c/ :remi(e 25 Premis 2; A∩ B ≠ A.

1 mark

1 mark

1 mark

1 mark

1 mark

#

6 0a/ 0 3 / , 3 x ) 6

x ) 1

0b/ m PQ = m RS ) −3

23 −−= x y

<* x=intercept

m

ercept int y −−=

23' −−= x

/3

20−

−=

x=intercept 3

2−=

3

2−=

1 mark

1 mark

1 mark

1 mark

1 mark

1 mark 6

$12

2

$

$

22 2

×

× 1 mark

1449 # 2013 H!$ C%&'! MPSM C!!"!" K*!" S+*%'

>"

4 cm

C

12 cm3 cm

!

#



N& M*+,%'- S#."/"M*+,

S/*+, T&$* M*+,

4

62

$

$

22

3

1 2

×

×× 1 mark

12

2

$

$

22 2

×

× 6

2

$

$

22

3

1 2

×

××−

1 mark

3%#1 mark

% 0a/ p ) −2

q ) 2

1 mark

1 mark

6

0b/

=

−−

13

$

43

22

y

x

( ) ( )( )

−−

−−−=

13

$

23

24

3242

1

y

x

or e-uialent

1 mark

1 mark

x ) 1 1 mark

y ) 2

#−

1 mark

Note ;

1. ccept onl+ matri? method.

2.

−

=

2

#1

y

x

award 1 mark

&

0a/21

$

222

36'

6' ××× or

$$

222

36'

3' ×××

21 ,21

$

222

36'

6' ×××,14 ,

$$

222

36'

3' ×××,$

3

26$

or3

2'3

or 6$.6$

0b/

221$

22

36'

6'××

or

2$$

22

36'

3'××

or

2$$

22

36'

6'××

221$

22

36'

6'××

−

2$$

22

36'

6'××

,

2$$

22

36'

3'××

6

121%

or 6

13'&

or 21%.1$

1 mark

1 mark

1 mark

1 mark

1 mark

1 mark 6

1449 # 2013 H!$ C%&'! MPSM C!!"!" K*!" S+*%'

6



N& M*+,%'- S#."/"M*+,

S/*+, T&$* M*+,

1' 0a/

0b/ 0i/ @08/ 8 08/A

=2'

2

1'

1

0ii/ @083/808$/ 80*83/ 80*8$/8 083/ 808$/8038/8 038*/ 8038/8

0$8/8 0$8*/ 80$8/A

=2'

12

#

3

2 mark(

1 mark

1 mark

1 mark

1 mark 6

11 0a/ #6 km

0b/

$'

/6'0

2'$6 =−t

or$'6'

2'$6 =×−t

t ) 4%

0c//

6'

$#0

$62'$6 +−

or6'

$#

$62'$6×

+−

1'# #

3

or 1'#.6 or e-uialent

1 mark

1 mark

1 mark

1 mark

1 mark

#

1449 # 2013 H!$ C%&'! MPSM C!!"!" K*!" S+*%'

{08*/8 08/8 083/8 08$/8

0*8/8 0*8/8 0*83/8 0*8$/8

08/8 08*/8 083/8 08$/8

038/8 038*/8 038/8 038$/8

0$8/8 0$8*/8 0$8/8 0$83/}

$



x −4 −3 −2.# −'.# '.# 1 1.# 2 3 4

y 4.# 6 $.2 36 −36 −1% −12 −& −6 −4.#

1449 # 2013 H!$ C%&'! MPSM C!!"!" K*!" S+*%'

>raph 7or -ue(tion 12

ra! untuk S"alan 12

y

40

30

20

10

#4.#$4.#64.#

x

234 411 320

10 x

20

30

40

&



N& M*+,%'- S#."/"M*+,

S/*+,T&$*

M*+,

13 0a/ 0i/ 0'8 −1/

#"te ; 0−18 2/ award 1 mark

0ii/ 0'8 #/ #"te ; 0#8 2/ award 1 mark

2 mark(

2 mark(

0b/ 0i/ 0a/ E ) a re7lection in the line x ) ' or y=a?i(

#"te ; 01/ re7lection "nly8 get 1 marks$

0b/ F ) nlargement8 centre % 8 (cale 7actor o7 2

#"te ; accept centre 018−1/

#"te & 01/ %nlargement' centre% "r 018− 1/8 get 2 marks

02/ %nlargement'scale !act"r 28 get 2 marks

03/ %nlargement "nly8 get 1 mark

0ii/ rea o7 ABC(% ) 22 ? 2%

rea o7 (haded region ) 022 ? 2%/ −2%

) %4

2 mark(

3 mark(

1 mark

1 mark

1 mark 12

14 0a/

Column 1 Column 2 Column 3 Column 4

Gark(

)arka

*

re-uenc+

+ekerapan

Epper !oundar+

Sempa,an Atas

Cumulatie re-uenc+

+ekerapan -"ngg"kan

## H #& ' #&.# '

6' H 64 4 64.# 4

6# H 6& 12 6&.# 16

$' H $4 16 $4.# 32

$# H $& 26 $&.# #%

%' H %4 1# %4.# $3

%# H %& # %&.# $%

&' H &4 2 &4.# %'

Column 3 all correct.Column 4 all the correct.

#"te ; llow two mi(take( to award 1 mark.

0b/ $# H $&

0c / %'

2&2#%$1#%226$$16$2126$462 ×+×+×+×+×+×+×

$#.6&

0d/ ?e( are drawn in the correct direction8 uni7orm (cale 7or

'I ertical a?i( I%' and #&.# I horiontal a?i( I &4.#

ll point( plotted accuratel+.

Smooth cure 0ogie/ pa((e( through all point(.

1 mark(

2 mark(

1 mark(

2 mark(

1 mark

1 mark

2 mark(

1 mark

1 mark

12

1449 # 2013 H!$ C%&'! MPSM C!!"!" K*!" S+*%'

1'



$4.#6&.## &4.#

1449 # 2013 H!$ C%&'! MPSM C!!"!" K*!" S+*%'

3'

2'

1'

'

12



N& M*+,%'- S#."/"M*+,

S/*+,T&$*

M*+,

1#0a/

Correct (hape with rectangle( .H/ and %./J$ll (olid line(.

% 9 H 9 %. 9 .

Gea(urement correct to ± '.2 cm 0one wa+/ and all angle( at the

ertice( o7 rectangle ) &'K± 1K.

L1

L1

N1

1449 # 2013 H!$ C%&'! MPSM C!!"!" K*!" S+*%'

3 cm2 cm / H J

4 cm

. %

13



N& M*+,%'- S#."/"M*+,

S/*+, T&$* /*+,

0b/0i/

Correct (hape o7 pol+gon +APQR and correct (hape o7 A(B.$

ll (olid line(.

(A 9 A+ ) A 9 +R ) B. 9 B( ) P 9 RQ

Gea(urement correct to± '.2 cm 0one wa+/ and angle( at R8 + 8 A8

(8 B and ) &'K± 1K.

L1

L1

N2

1# 0b/0ii/

Correct (hape with rectangle( C(%J and %JH$

ll (olid line(.

Q i( joined to # b+ a da(hed line.

C( = CH 9 JC = JH 9 J# = #H

Gea(urement correct to ± '.2 cm 0one wa+/ and all angle( at

ertice( o7 rectangle ) &'K± 1K.

L1

L1

L1

N2

12

1449 # 2013 H!$ C%&'! MPSM C!!"!" K*!" S+*%'

2 cm P

Q1cm R

. 3 cm B4 cm3 cm

2 cm

4 cm + A (# cm

4 cm H

1 cm

# Q

1 cm

J %

2 cm

C ( 4 cm

14



N& M*+,%'- S#."/"M*+,

S/*+,T&$*

M*+,

16

0a/ 13'o 5 13'o

0b/ 20&'° −##°/ M 6' or 1%'° −20##°/O M 6'

42''

0c/ 1#' M 6' co( ##o

#162.1&

0d/ 0i/ 6'#34'

%& H ##

34oS

0ii/ &''

#34'#162+

11.6$

2 mark(

1 mark

1 mark

2 mark(

1 mark

1 mark

1 mark

1 mark

1 mark

1 mark 12

1#

Skema Jawapan Matematik SPM MIBF 2013 (Set 2)

Documents

Transcript of Skema Jawapan Matematik SPM MIBF 2013 (Set 2)