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SULIT 3472/1

KOLEJ TUNKU KURSHIAH

KOLEJ TUNKU KURSHIAH, SEREMBAN

BANDAR ENSTEK, SEREMBAN

PEPERIKSAAN PERTENGAHAN TAHUN 2015TINGKATAN 4

MATEMATIK TAMBAHAN 3472/1

MASA : 2 JAM Dua jam

MEI 2015

DO NOT OPEN THE QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO.

For Examiner’s Use

Q!"#$%&M'()"

A**%+'#!

M'()"

O-#'$&!

1 2

2 3

3 3

4 4

5 2

6 4

7 38 3

9 3

10 4

11 3

12 3

13 4

14 3

15 3

16 2

17 2

18 419 4

20 4

21 3

22 4

23 4

24 3

25 3

TOTAL

MAKS80

T!"# $u%#&"'( )a)%* !a# 14 )*"(&%+ )a,%#-

L$'# "!-!*'

3472/1 SULIT

NAMA : ..................

TINGKATAN :.....

1. Write your name and class clearly in

the space provided on this page.

2. Read the information on page 14

carefully.

3. This question paper must be handedin at the end of the examination.



SULIT 3472/2

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

commonly used.

ALGEBRA

1

2 4

2

b b ac x

a

− ± −=

12 2 am × an

a m + n

3

4 3 am ÷ an

a m - n

5

6 4 am n anm

7

8 5 ',a mn

', am ',a n

9 6 ',a n

m

', am ',a

n

10 7 ', a mn

n ', a m

11 8 ',a

a

b

c

c

',

',

12

13 9 T( a (

1+

14

15 10 S(

610272

d nan

−+

16 11 T( a* (1

17 12 S(

r

r a

r

r a nn

−

−

=−

−1

1

1

1

* ≠ 1

18 13 r

aS

−=∞

1 r

1

1920

21 ALULUS

2223 1 y uv

dx

duv

dx

dvu

dx

dy

+=

24

25 2 v

u y =

2v

dx

dvu

dx

duv

dy

dx −

=

26

27 3

dx

du

du

dy

dx

dy×=

282930313233343536

373839

40414243444546474849505152 4 A*%a u(+%* a

u*;%

53 ∫ b

a

y

dx '*

54 ∫ b

a

x

dy

55 5 <'um%

,%(%*a&%+

56 ∫ b

a

y 2π

dx

'*

3472/2 S=LIT

2

5 A )'"(& +";"+"(, a #%,m%(& '> a "(%

x,y

821

+

+

nm

mxnx

+

+

nm

myny 21

6 A*%a '> &*"a(,%

002

1312312133221 1

y x y x y x y x y x y x ++−++

1 D"#&a(% =2

21

2

21 00 y y x x −+−

2 M"+)'"(&

( x , y) = +2

21 x x

, +2

21 y y

322 y xr +=

2 2

? xi y

r x y

+=

+



SULIT 3472/1

57 ∫ b

a

x2π

dy

58

L$'# "!-!*'

3472/1 SULIT

GEOMETRY



5 STATISTIS

TRIGONOMETRY

1 A* %(,&! s r θ

2 A*%a '> #%&'* !

21

2r θ

3 #"( 2 " '# 2 " 1

4 #%2 " 1 &a(2 "

5 '#%2 " 1 '&2 "

6 #"( 2 " 2 #"( " '# "

7 '# 2 " '#2 " @ #"(2 "

2 '#2 " 1

1 2 #"(2 "

8 &a( 2 " "

"2&a(1

&a(2

−

9 #"( " ± # #"( " '# # ± '# " #"( #

10 '# " ± # '# " '# # #"( " #"( #

11 &a( " ± # # "

# "

&a(&a(1

&a(&a(

±

12 $

c

#

b

"

a

#"(#"(#"(==

13 a2 b2 c2 2bc '# "

14 A*%a '> &*"a(,% $ ab#"(

2

1

7 1

11

w

% w %

∑∑

=

8 A0

A

r n

n

& r

n

−=

9 AA0

A

r r n

n$ r

n

−=

10 " ∪ # " # " ∩ #

11 ' r r nr

r

n q p$ − ) $ 1

12 M%a( ( np

13npq=σ

14 C σ

µ − x

1 x )

x∑

2 x ∑∑ f fx

3 σ )

x x∑ − 20

2 D 2

x )

x−∑

4 σ ∑∑ −

f

x x f 20

22

x f

fx−

∑∑

5 m

$ f

* )

!m

−

+ 2

1

1 100+

% = ×



SULIT 3472/1

60

/

4

0

1

2

3

1

1

1

1/

14

10

1 11

12

13

2

2

2

2/

24

20

2

21

22

23

3

3

3

3/

34

30

3

31 32

33

/

4

0

1

23 "nswer '** questions.

3472/1 SULIT



2

1

3

2

110 1- D"a,*am 1 #!'# &!% *%a&"'( %&%%( #%& M a(+ #%& N-

111

112

113

114

115116

117

118

119

120

121

122

123 DIAFAM 1

124

125 S&a&%

126a &!% '+'ma"( '> &!a& *%a&"'(

&!% &G)% '> *%a&"'(

127 2 mar5s

128

129

"nswer : a

........--

130

........---

131

132

2. F";%( 852: −→ x x f "(+ ;au% '> q "> qq f =0

133

134 3 mar5s

135

136

137138

139 "nswer :

........--

140

141

142

143

144

145

146



3

3

3

4

SULIT 3472/1

147

148

149

150

3. T!% *%a&"'( %&%%( T!% *%a&"'( %&%%( J 4 6 15 17 a(+ K 2357 "#

+%>"(%+ G &!% '*+%*%+ )a"*# '> 42 62 63 153 155-151

152 S&a&%

153 a&!% 'j%& '> 5

154 &!% *a(,% '> &!% *%a&"'(-

155

156 2 mar5s

157

158

159

160

/

164

165 "nswer :a ---

.........------

166

167 :

---.........------

168

1694. F";%( &!% >u(&"'(# f : x x 1 a(+ , : x

3

x >"(+

1

171 a&!% 'm)'#"&% >u(&"'( g f

172 &!% ;au% '> x "> g f x 9-

173

174

175 3 mar5s

176

177

178179

180

181

182

183

184 "nswer : a---------

.......

185 : ---

.......---

186

17

1

3472/1 SULIT

*or

examiner6s

use only



4

5

3

1

10

11

12

13

1415

1

17

198 5. F";%( &!% >u(&"'(# f : x 2 x a(+ g : x 4 x2 1 >"(+

&!% ;au% '> x "> gf fg -

199

200

201

4 mar5s

202

203204

0

207 "nswer :

..------------------------

208

20

210. F";%( &!% >u(&"'( 385: +→ x x f "(+ &!% ;au% '> x "> 1−= f f

211 3mar5s

212

213

214

215

216

217

218

219

220

221 "nswer : .---....--

..--.---

222

223

2247- I& "# ,";%( &!a& x

1

2 "# '(% '> &!% *''&# '> &!% $ua+*a&"

%$ua&"'( 2 x2 3 x 1 0-

225 "(+ &!% ;au% '> a('&!%*

*''&-

226

2 mar5s

227

*or

examiner6s

use only



2

7

3

3

SULIT 3472/1

228

229

230

231

232

233234

235

23

237

23

23

240 "nswer : .---....--

..--.---

241

242

243244

245 - F";%(

&!a& a(+ β a*% &!% *''&# '> $ua+*a&" %$ua&"'(

2 x2+5 x−3=0

246 >'*m a $ua+*a&" %$ua&"'( !"! !a# *''&#1

2α a(+

1

2 β-

247

248

249

0

0

0

253

254 "nswer : ---

.........------

255

256

257258. T!% $ua+*a&" %$ua&"'( 4 x c 16 2 x2 !a# &' %$ua

*''&#- "(+ &!% ;au% '> c

03

260

261 3 mar5s

262

263

264

265

266

267268

3472/1 SULIT

*or

examiner6s

use only



3

10

4

11

269

270 "nswer : ---------

.......

271

272

273274 10- T!% $ua+*a&" >u(&"'( f ( x )=− x

2+4 x=a2 !%*%

a "# a '(#&a(& !a# ma"mum ;au% '> 8- "(+ &!% ;au%# '> a

275

27

277

27

27

20

21

22 23

24

20

2

21

22

2 "nswer : ---------

.......

20

21

22293 11. T!% $ua+*a&" >u(&"'( f ( x )= p( x+q)2=r , !%*% p , q a(+ r a*%

'(#&a(&# !a# a

294 m"("mum ;au% '> 4- T!% %$ua&"'( '> &!% a"# '> #Gmm%&*G "# x=3 -

295

296

297

298

299

4 mar5s

300301

302

//

/4

305 "nswer :

..------------------------

306

307

30812. F";%( &!% >u(&"'( 385: +→ x x f >"(+ &!% ;au% '> x "> 1−

= f f



3

12

2

13

3

14

SULIT 3472/1

309 3

mar5s

310

311

312

313314

315

316

317

318

319 "nswer : .---....--

..--.---

320

321

32213- "(+ &!% *a(,% '> x >'* 3 x2−5 x−16≤ x (2 x+1) .

323

2 mar5s

324

325

326

327

328

329

330

331

332333

334

335

33

337 "nswer : .---....--

..--.---

33

33

340

/4 14- S';% &!% >''"(, #"mu&a(%'u# %$ua&"'(#:

342 y 2 x

343

y2 4 x 1

344

345

346

/41

/42

/43

350

3472/1 SULIT

*or

examiner6s

use only



4

15

3

1

3

17

351 "nswer : ---

.........------

352

353

354

35515. S';% &!% #"mu&a(%'u# %$ua&"'(# x y 1 a(+ x2 y2 25-/0

357

358 4 mar5s

359

360

361

362

363

364

365

366

367 "nswer : ---------

.......

368

369

370

371 1- S%&! &!% ,*a)! >'* &!% $ua+*a&" >u(&"'(

f ( x )=2( x−1)2−5 -

372

373

374375

37

377

37

37

30

/2

/2

/2/

/24

35 "nswer : ---------.......

3

37

3

3

390 17. S';% &!% %$ua&"'( 4 x−1=8

x+3

391

392

393

394

4 mar5s



4

1

4

1

SULIT 3472/1

395

396

397

/32

/33

400 "nswer :..------------------------

401

402

4031. S';% &!% %$ua&"'( 23 x=8+23 x−1

404 4

mar5s

405

406

407

408

409410

411

412

413

414 "nswer : .---....--

..--.---

415

416

4171- F";%( &!a& log2 x=h a(+ log2 y=k , %)*%## log2

x3

y"( &%*m# '> h a(+ k -

418

4 mar5s

419

420

421

422

423

424

425

42427

42

42

430

431

432 "nswer : .---....--

..--.---

433

434

435

43437

3472/1 SULIT



4

20

4

21

3

22

43

43

440

441 20- S';% &!% %$ua&"'(

log3 2+log3( x−4)=1

442 4 mar5s

443

444

445

44

441

442

449

450 "nswer : ---

.........------451

452

453

454 21. F";%( &!a& log10 x y2=1 a(+ log10 x

2 y=−1 - "(+ &!%

;au%# '> x a(+ y -

455

456

457 4 mar5s

458459

460

461

462

463

464

465

466 "nswer : ---------

.......

467

4684

470 22- F";%( &!% )'"(&# A46 a(+ B13 a )'"(& +";"+%# AB "(

&!% *a&"' 3:1 >"(+

471 ''*+"(a&%# '> &!% )'"(& -

472 3

mar5s

473

474

47547

*or

examiner6s

use only



3

23

4

24

SULIT 3472/1

477

47

413

42

42

42 "nswer : ---------.......

43

44

45

486 23. T!% +"#&a(% %&%%( )'"(&# 42 a(+ a 3 "# √ 17

u("&#- "(+ &!% )'##"% ;au%#

487 '> a -

488

489

490491

492

4 mar5s

493

494

495

43

431

498 "nswer :

..------------------------

499500

50124. '"(&# A23 B2! 4 a(+ 5!1 a*% '"(%a*- "(+ &!%

;au% '> !-

502

503 3

mar5s

504

505

506

507

508509

510

511

512

513 "nswer : .---....--

..--.---

514

515

516 25- "(+ &!% %$ua&"'( '> &!% #&*a",!& "(% &!a& )a##%# &!*'u,!

)'"(& 36 a(+ "# )a*a% &' &!% #&*a",!& "(%2 x−4 y

+3=0

-

3472/1 SULIT



4

25

517

4 mar5s

518

519

520

521522

523

524

525

52

527

528 "nswer : .---....--

..--.---

52

530 END O6 THE QUESTION PAPER

531532 INFORMATION FOR CANDIDATES

0//

1 T!"# $u%#&"'( )a)%* '(#"#&# '> 25 $u%#&"'(#-

534

2 A(#%* '** $u%#&"'(#-

535

3 P*"&% G'u a(#%* %a*G '( &!% a(#%* #)a%# )*';"+%+ "( &!% $u%#&"'( )a)%*-

536

4 S!' G'u* '*"(,- I& maG !%) G'u &' ,%& ma*#-

537

5 T!% +"a,*am# "( &!% $u%#&"'(# )*';"+%+ a*% ('& +*a( &' #a% u(%## #&a&%+-

538

6 T!% ma*# a'a&%+ >'* %a! $u%#&"'( a(+ #u)a*& '> a $u%#&"'( a*% #!'( "(

*a%&#-

5397 A "#& '> >'*mua% "# )*';"+%+ '( )a,%# 2 a(+ 3-

540

541 8 Q'u maG u#% a ('()*',*amma% #"%(&">" aua&'*-

542

543 9 T!"# $u%#&"'( )a)%* mu#& % !a(+%+ "( a& &!% %(+ '> &!%

%am"(a&"'(

544



SULIT 3472/1

545 546

547 P

(

!

'

(

!

-

8,

54 54

!

+

)

!

-

8,

550

551 ............

.-552 (- N'*"+a B"(&"A!ma+

553 554

555 ............

.-556 E(-aC"> B"(

M'!am%+

'#"557 A$#$

%&'*

M'#!

9'#$+:

"

T!'+!

(

558 55 A$#

$%&'*

M'#

!9'#$

+:"

T!'+

!(50 561 562

563 564

A

565

566 567568 ...

...

...

....-

569 " a!ma! B"(&"Ka#mu

("

570

571 572 H!' %;

<%+'#$%&'*'&

573

3472/1 SULIT



T!+&$+:"

D!'(#9!&#

574

format cover dan soalan mt paper 1

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