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Rahsia Pelajar-Pelajar Cemerlang MATEMATIK Terbongkar

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SULIT 1 3472/2

3472/2

Matematik

Tambahan

Kertas 2

2 jam

Ogos 2009

SEKTOR SEKOLAH BERASRAMA PENUH

BAHAGIAN PENGURUSAN

SEKOLAH BERASRAMA PENUH DAN SEKOLAH KLUSTER

KEMENTERIAN PELAJARAN MALAYSIA

PEPERIKSAAN PERCUBAAN

SIJIL PELAJARAN MALAYSIA 2009

ADDITIONAL MATHEMATICS

Kertas 2

Dua jam tiga puluh minit

JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU

1. This question paper consists of three sections : Section A, Section B andSection C.

2. Answerallquestions in Section A , four questions from Section B andtwo questions from

Section C.

3. Give only one answer / solution to each question.

4. Show your working. It may help you to get marks.

5. The diagram in the questions provided are not drawn to scale unless stated.

6. The marks allocated for each question and sub-part of a question are shown in brackets.

7. A list of formulae is provided on pages 2 to 3.

8. A booklet of four-figure mathematical tables is provided.

9. You may use a non-programmable scientific calculator.

Kertas soalan ini mengandungi 19 halaman bercetak

3472/2 SULIT

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SULIT 3472/2

3472/2 SULIT

2

The following formulae may be helpful in answering the questions. The symbols given are the ones

commonly used.

ALGEBRA

1 x =a

acbb

2

42

2 am an = am + n

3 am a n = am - n

4 (am)

n= a

nm

5 logamn = log am + logan

6 logan

m= log am - logan

7 log amn

= n log am

8 logab =

a

b

c

c

log

log

9 Tn = a + (n-1)d

10 Sn = ])1(2[2

dnan

+

11 Tn = arn-1

12 Sn =r

ra

r

rann

=

1

)1(

1

)1(, (r 1)

13r

aS=

1

, r

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SULIT 3472/2

[ Lihat sebelah

3472/2 SULIT

3

STATISTIC

TRIGONOMETRY

1 Arc length, s = r

2 Area of sector ,A =21

2r

3 sin2A + cos

2A = 1

4 sec2A = 1 + tan

2A

5 cosec2A = 1 + cot

2A

6 sin2A = 2 sinAcosA

7 cos 2A = cos2A sin

2A

= 2 cos2A-1

= 1- 2 sin2A

8 tan2A =A

A2tan1

tan2

9 sin (A B) = sinAcosB cosAsinB

10 cos (A B) = cosAcosBm sinAsinB

11 tan (A B) =BA

BA

tantan1

tantan

m

12C

c

B

b

A

a

sinsinsin==

13 a2 = b2 +c2 - 2bc cosA

14 Area of triangle = Cabsin2

1

1 x =N

x

2 x =

f

fx

3 =N

xx 2)(=

2_2

xN

x

4 =

f

xxf2)(

=2

2

xf

fx

5 M = Cf

FN

Lm

+ 2

1

6 1000

1 =P

PI

71

11

w

IwI

=

8)!(

!rn

nPrn

=

9!)!(

!

rrn

nCr

n

=

10 P(A B)=P(A)+P(B)-P(A B)

11 p (X=r) = rnrrn qpC , p + q = 1

12 Mean , = np

13 npq=

14 z =

x

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SULIT 4 3472/2

3472/2 SULIT

4

THE UPPER TAIL PROBABILITY Q(z) FOR THE NORMAL DISTRIBUTION N(0, 1)

KEBARANGKALIAN HUJUNG ATAS Q(z) BAGI TABURAN NORMAL N(0, 1)

1 2 3 4 5 6 7 8 9z 0 1 2 3 4 5 6 7 8 9

Minus / Tolak

0.0

0.1

0.2

0.3

0.4

0.5000

0.4602

0.4207

0.3821

0.3446

0.4960

0.4562

0.4168

0.3783

0.3409

0.4920

0.4522

0.4129

0.3745

0.3372

0.4880

0.4483

0.4090

0.3707

0.3336

0.4840

0.4443

0.4052

0.3669

0.3300

0.4801

0.4404

0.4013

0.3632

0.3264

0.4761

0.4364

0.3974

0.3594

0.3228

0.4721

0.4325

0.3936

0.3557

0.3192

0.4681

0.4286

0.3897

0.3520

0.3156

0.4641

0.4247

0.3859

0.3483

0.3121

4

4

4

4

4

8

8

8

7

7

12

12

12

11

11

16

16

15

15

15

20

20

19

19

18

24

24

23

22

22

28

28

27

26

25

32

32

31

30

29

36

36

35

34

32

0.5

0.6

0.7

0.8

0.9

0.3085

0.2743

0.2420

0.2119

0.1841

0.3050

0.2709

0.2389

0.2090

0.1814

0.3015

0.2676

0.2358

0.2061

0.1788

0.2981

0.2643

0.2327

0.2033

0.1762

0.2946

0.2611

0.2296

0.2005

0.1736

0.2912

0.2578

0.2266

0.1977

0.1711

0.2877

0.2546

0.2236

0.1949

0.1685

0.2843

0.2514

0.2206

0.1922

0.1660

0.2810

0.2483

0.2177

0.1894

0.1635

0.2776

0.2451

0.2148

0.1867

0.1611

3

3

3

3

3

7

7

6

5

5

10

10

9

8

8

14

13

12

11

10

17

16

15

14

13

20

19

18

16

15

24

23

21

19

18

27

26

24

22

20

31

29

27

25

23

1.0

1.1

1.2

1.3

1.4

0.1587

0.1357

0.1151

0.0968

0.0808

0.1562

0.1335

0.1131

0.0951

0.0793

0.1539

0.1314

0.1112

0.0934

0.0778

0.1515

0.1292

0.1093

0.0918

0.0764

0.1492

0.1271

0.1075

0.0901

0.0749

0.1469

0.1251

0.1056

0.0885

0.0735

0.1446

0.1230

0.1038

0.0869

0.0721

0.1423

0.1210

0.1020

0.0853

0.0708

0.1401

0.1190

0.1003

0.0838

0.0694

0.1379

0.1170

0.0985

0.0823

0.0681

2

2

2

2

1

5

4

4

3

3

7

6

6

5

4

9

8

7

6

6

12

10

9

8

7

14

12

11

10

8

16

14

13

11

10

19

16

15

13

11

21

18

17

14

13

1.5

1.6

1.7

1.8

1.9

0.0668

0.0548

0.0446

0.0359

0.0287

0.0655

0.0537

0.0436

0.0351

0.0281

0.0643

0.0526

0.0427

0.0344

0.0274

0.0630

0.0516

0.0418

0.0336

0.0268

0.0618

0.0505

0.0409

0.0329

0.0262

0.0606

0.0495

0.0401

0.0322

0.0256

0.0594

0.0485

0.0392

0.0314

0.0250

0.0582

0..0475

0.0384

0.0307

0.0244

0.0571

0.0465

0.0375

0.0301

0.0239

0.0559

0.0455

0.0367

0.0294

0.0233

1

1

1

1

1

2

2

2

1

1

4

3

3

2

2

5

4

4

3

2

6

5

4

4

3

7

6

5

4

4

8

7

6

5

4