3472/1

Matematik

Tambahan

Kertas 1

2 jam

Ogos 2014

BAHAGIAN PENGURUSAN

SEKOLAH BERASRAMA PENUH DAN SEKOLAH KECEMERLANGAN

___________________________________________________________________

PENTAKSIRAN DIAGNOSTIK AKADEMIK SBP 2014

PERCUBAAN SIJIL PELAJARAN MALAYSIA

ADDITIONAL MATHEMATICS

Paper 1

___________________________________________________________________________

Skema Pemarkahan ini mengandungi 6 halaman bercetak

MARKING SCHEME

2

SULIT 3472/1

3472/1@ 2014 Hak Cipta BPSBPSK SULIT

No. Solution and Mark Scheme Sub

Marks

Total

Marks

1(a)

(b)

1,0,1,4,12

one-to-many relation or object b has two images

1

1

2

2(a) 3 1 3

(b) -18

7 3 3B1 : 6 or ( ) or ( )

3 7 7

x x xh x h x

x x x

2

3 ( ) 2 10f x x 1

B2 : ( ) 6 83

xf x

1 1B1 : ( )3

xg x

OR

( ) 2 10f x x 1

B2 : ( ) 6 83

yf y

1B1 :

3

yx

3

3

3

4 2 24 112 0x x

B2 : . . 24 . . 112S O R or PO R

B1 : 6 7m n or mn

3 3

5

2

4 and 9

B2 : 4 or 9

1 1B1 : ( )

3 3

p q

p q

f x x p q

3

3

2

32 x

062 OR062:B1

0)2()32( : B2

22

xxxx

xx

3

3 6

-2 3

2 -2 3

2

OR OR

3

SULIT 3472/1

3472/1@ 2014 Hak Cipta BPSBPSK SULIT

7

2 6

2 1

3

3

B2 : 3 6 18

1B1 : 2 (2 )

2

p

p

p

p p

3

3

8

3 3

3 3 3 3

3

3

3

6

B3 : 2 5 1

B2 : log (2 5) log ( 1) or log (2 5) log ( 1)

log ( 1)B1 :

log 27

x

x x

x x x x

x

4

4

9

20

20

1

900

20B2 : 2(7) 19(4)

2

B1 : 4(1) 3 7 4

S

S

T a or d

3

3

11

12

RM 284.40

B2 : 500(0.95)

19B1 : 0.95 /

20

T

r

3

3

11

8 16 8 16

10 4

B3 : 10 4

B2 : 8 28 192 and 16 120 640

8B1 : 2 7 192 or 448 640

2

a and d

a or d

a d a d

S a d S S or S

4

4

12

2 5

xy

x

1 1B2 : 2 5

y x

B1 : 2 or 5m c

3 3

10

4

SULIT 3472/1

3472/1@ 2014 Hak Cipta BPSBPSK SULIT

13 1k

B1 : 5 22 27 or 5 22 27k k

1

B1 : 3 10 4 10 6 2 13.52

k k

3

3

14

1

4 or equivalent2

y x

1

B3 : 0 82

y x

2

1B2 : (8,0) and

2R m

2

1B1 : (8,0) or

2R m

4

4

15(a)

(b)

3 2

53

p r

1

1

2

16(a)

(b)

2 2

5

1B1 : 3 ( 1)

2

1 21 1, accept

3 610 40

B1 : 2 6

h

h

2

2

4

17

2 2

2 2

13.72

1 1B3 : (7) (1.143) (5) (1.143)

2 2

1 1B2 : (7) (1.143) or (5) (1.143)

2 2

B1 : 1.143 rad

4

4

5

SULIT 3472/1

3472/1@ 2014 Hak Cipta BPSBPSK SULIT

18(a)

(b)

2

2

2

cot1

1B1 :

2 1

h

h

h

h

h h

2

1

3

19

2 2

1

2

1

1 3(1) 4 1 3( 2) 4B2 :

3 1 3 2

1B1 : 3 ( )

3h x dx

3 3

20(a)

(b)

046 : B1

3

2

x

11

3

2

1

3

21

3

2

1

2

2

B2 : 2 5 182

B1 : or 102

kx

kx

3

3

22(a)

(b)

225

B1 : 2

2 2(6) 35

x

36

2

1

3

11

2

2

1

4B2 :

3

1B1 : ( ) (3 4 )

3

xx

h x x

OR

6

SULIT 3472/1

3472/1@ 2014 Hak Cipta BPSBPSK SULIT

23

72

B2 : 5! 2! 4!

B1 : 5! or 2! 4!

3

24(a)

(b)

12

B1 : 4

3 5

h

h

13 26accept

28 56

B1 : 3 2 5 4

or8 7 8 7

2

2

4

25(a)

(b)

0.1506

52.381

B2 : 56

1.0343.5

B1 : 1.034

1

3

4