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SULIT 3472/1 Additional Mathematics Kertas 1 Ogos 2017 BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH DAN SEKOLAH KECEMERLANGAN KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERCUBAAN SPM TINGKATAN 5 2017 ADDITIONAL MATHEMATICS Paper 1 MARKING SCHEME This marking scheme consists of 6 printed pages

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Page 1: PEPERIKSAAN PERCUBAAN SPM TINGKATAN 5 2017sumberpendidikan.com/wp-content/uploads/2017/09/jawapan-add-mat… · 1 SULIT 3472/1 Additional Mathematics Kertas 1 Ogos 2017 BAHAGIAN PENGURUSAN

1

SULIT

3472/1

Additional

Mathematics

Kertas 1

Ogos

2017

BAHAGIAN PENGURUSAN

SEKOLAH BERASRAMA PENUH

DAN SEKOLAH KECEMERLANGAN

KEMENTERIAN PELAJARAN MALAYSIA

PEPERIKSAAN PERCUBAAN SPM

TINGKATAN 5

2017

ADDITIONAL MATHEMATICS

Paper 1

MARKING SCHEME

This marking scheme consists of 6 printed pages

Page 2: PEPERIKSAAN PERCUBAAN SPM TINGKATAN 5 2017sumberpendidikan.com/wp-content/uploads/2017/09/jawapan-add-mat… · 1 SULIT 3472/1 Additional Mathematics Kertas 1 Ogos 2017 BAHAGIAN PENGURUSAN

2

MARKING SCHEME

Number Solution and Mark Scheme Sub

Marks

Total

Marks

1 9x2 + 12x + 4 = 0

(3x + 2)(3x + 2) = 0 OR

SOR = 3

2 +

3

2 =

3

4 or

POR =

3

2

3

2 =

9

4

2

B1

2

2 (a) 16

62or 2122202

qq

2

B1

3

(b) 4 , 2 xx 1

3 2tan

3

cos sin 2sin cos

2

B1

2

4 (a) 205 , 209.1 , 213.282

Nota:

Kalau calon senaraikan lebih daripada tiga, semua kena betul

1

3

(b) 17,338.78 seconds or 288.98 minutes or 4.82 hours or

4 hours 49 minutes

50205(1.02 1)

1.02 1

2

B1

5 (a) cmr 20 1 4

(b)

40

qr

202

1*

q

r

rdr

dA2

3

B2

B1

Nota:

Terima 50(3'25'')(1.02 1)

1.02 1

Page 3: PEPERIKSAAN PERCUBAAN SPM TINGKATAN 5 2017sumberpendidikan.com/wp-content/uploads/2017/09/jawapan-add-mat… · 1 SULIT 3472/1 Additional Mathematics Kertas 1 Ogos 2017 BAHAGIAN PENGURUSAN

3

6 5.322V

tt

V 52

3 2

4 5353 cataudttVatautdt

dV

3

B2

B1

3

7

3

2,2 pp

41

3 2

p

p

13

1 2

x

xdxxf

3

B2

B1

3

8 1p

5342

2

B1

2

9 (a)

570

3 3

(b) 2020

6 tahun atau senarai:

2015: 300,

2016: 330,

2017: 360,

2018: 390,

2019: 420,

2020: 450

2

B1

10 (a) 6,3 pq (BOTH)

3q OR 6p

qp 2 OR 716 2 q OR 1674

2

p

3

B2

B1

4

(b) ( -3, 16 ) 1

+ c

Page 4: PEPERIKSAAN PERCUBAAN SPM TINGKATAN 5 2017sumberpendidikan.com/wp-content/uploads/2017/09/jawapan-add-mat… · 1 SULIT 3472/1 Additional Mathematics Kertas 1 Ogos 2017 BAHAGIAN PENGURUSAN

4

11 (a) p = 4 and

3

4q

p = 4 or 3

4q

2

B1

4

(b) 0.9134 @

6

30

443

44 2 y

2

B1

12 (a) 150 1 4

(b) 30 1

(c) 4530

62305

2

x

2

B1

13 (a) 3

3

3

2

3 CC

2

B1

4

(b) 144

! 3 ! 4

2

B1

14 (a) 1

216

1 1 1x x

6 6 6

2

B1

4

(b)

7776

25

6

1

6

1

6

1

6

1

6

5

2

B1

15 (a)

3.0120

56

29.59

x

x

2

B1

4

(b)

)639.0(

%14.26

zP

2

B1

Page 5: PEPERIKSAAN PERCUBAAN SPM TINGKATAN 5 2017sumberpendidikan.com/wp-content/uploads/2017/09/jawapan-add-mat… · 1 SULIT 3472/1 Additional Mathematics Kertas 1 Ogos 2017 BAHAGIAN PENGURUSAN

5

16 (a) 2.095 rad 1 4

(b) 565.65 m2

095.262

1095.224

2

1 22

24 seen

3

B2

B1

17 pq4

yxyx sin cos cos sin 4

yyxxyx cos sin 2 cos sin 2 2sin 2sin

3

B2

B1

3

18 x = 120o , 240

o , 180

o

(2 cos x + 1) (cos x + 1) = 0

2 ( 1 – cos2

x ) 3 cos x 3 = 0

3

B2

B1

3

19

)2(2

4

2

3

5)75(

5

)(

625

xxor

aab

ba

3

B2

B1

3

20 (a) 2.579 1 3

(b) 8

xaa log8log

2

B1

21

x

x

xx

x

2

2

2

1

2

log

)2(log

)2()3(

4

1

3

B2

B1

3

22 4 ,5

02

4or 1

2

3

yx

0 ,1

3

B2

B1

3

Page 6: PEPERIKSAAN PERCUBAAN SPM TINGKATAN 5 2017sumberpendidikan.com/wp-content/uploads/2017/09/jawapan-add-mat… · 1 SULIT 3472/1 Additional Mathematics Kertas 1 Ogos 2017 BAHAGIAN PENGURUSAN

6

23 (a) 3 1 3

(b) equivalentor 0163 xy

23

16

xy

2

B1

24 10a and 103b or equivalent

10a OR 103b or equivalent

ba 3 OR 10022 ba

3

B2

B1

3

25

3

2

jiCDjiCA 3or 62

*accept

3

1or

6

2

4 ,3 A

3

B2

B1

3

END OF MARKING SCHEME