Skema Penang K1+K2.pdf - Google Drive

1 downloads 215 Views 59MB Size Report
gP2 or fi-}JF. 83 : R2 =26P oR R2. =26 P. B2 : log2 R2 = lo1z26 +log2 P OR ,R2 rogz T= 81 ,. l=og'P. or 3log2. log24. 4
._

\

€ l.

ADDTTTONAL Kertasl

rvrArr@arr

cs

Septernber

2 jam

MAJLIS PENGETUA SEKOLAH MALAYSIA CAWANGAI\ PULAU PINANG

MODUL LATIHAN BERFOKUS SPM 2OI4 MARKSCHEME

ADDITIONAT MATHEMATIC Paper

I

Two hours

S

347211

2

ADDITIONAL MATHEMATICS PAPER 1 2AI4 Solution and Mark Scheme

Question

I

2

Marhs

Mark

3, g))

g), (2, 4), t(3 ,

(- 2, 4), (-

(b)

.f :x->*2

oR f(x)=i2

(a)

L7

1

(b)

-14

2

(a)

(b)

m2+6m+11

-2 2

J-

(3)2

2

+ pQ)+

18 = 0

x:6 :

4

11

p:-9

81

3

2

S(r):i2 +2

Bl : (b)

2

1

-3

Bl : g(Y): (V -3)'+ 6U- 3) + (a)

1

f-t (x): +

Bl:

4

Total

(a)

81:

3

Sub

(r-3Xr-6)-0

or 3a:18 or

m1-6, m> 6 B2: (- m)2 -

3+o=

2

4

3

3

(-9)

4QXe) >

Bl :x2 -mx+ 9 = Q

6

(a)

x=3

I

(b)

(3,2)

1

(b)

f(x)= (r- 3)'+2

3472n

I

3

34721r

3

7

/l

3

2

3

3

4

4

3

3

rr,s

2

B2:2x -3

Bl:5b"51 or 1

I

83

: R2 =26P oR R2 =26 P

B2

:

log2 R2

= lo1z26 +log2 P OR rogz

81

,

l=og'P. log24

or 3log2

,R2 T=

24

9

B2:

-1 37

+(n-

0

1X6)

: d-6

B1

10

or fi-}JF

gP2

R

53

(a)

4

I

(b)

20

3

4

3

3

B2: (2n + 4t)(n-2q BI

11

;va)*b-1)4I

-2r 55l-+Ll-4,2 -7

B.2:

1-

2 3

B1

34721I

,-23

0

= 820

3472tI

tz

(a)

1 L*'+4 v

(b)

I

2

p:2,q-7(both)

3

4

3

3

4

4

B2:p-2 or q-7 Bt

: 5 =+p+4 or stz--G) +4 1

r =14,t

13

-+

0oth)

5

82: r =14 or

5

: 8 _z(r)+t(a)

Bt

t7

+-

or

, _20)*3(t)

o-

5

t4

5

2100, 3300

83 : 210o or

3300

B2: (2sinr + l)(sin )c +2)=

Bl :

ls

(a)

(1 -2sin2x)-5sin

0

x=3

t6

2

Bl 1 /. PoR:0.45 (b)

344.576 /344.59/344.6

Bl

16

3472tr

4

2

2

, te6)2(z.6sz)

Ji5 /3.6a6 81

2

:

22

+32

3472n

t7

(a)

-5 a *4b

(b)

2

)=z or 4( L)=t' \3+n) \3+n)

Bz: 5 -s( -L

-6 81 : -3(2x+ t-4 Q)

2t

(a)

-4

(b)

16

81

347211

:

or 5

3472n

Br

23

(a)

: p=ry--($Ef

144

Bl:4!

x3!

72

Bl:31 x2! x3!

24

(a)

(b)

0.1

4AI

Bl : 1.08

u72lt

0.

I3l4

3:47212

ADDITIONAL MATFIEh4ATIC

S

Kertas 2 Septernber Al

z- lam 2" .

MAJLIS PENGETUA SEKOLAH MALAYSIA CAWANGAN PULAU PINAIIG

MODUL LATIHAN BERFOKUS SPM 2OI4

MARKSCHEME

ADI}ITIONAL MATHEMATIC S Paper 2

Two hours and thirty minutes

347212

2

sEcTroN A ( 40 MARKS ) Mark Scheme

Ques

1.

y=2x-6 or x-3+

ry E

or

y=x2-15

_t1Ttiil'_t_:'_: *z

_ *(b_6) -

15

or

.f,

.:r)'-y =

15

Solve the Quadr aticEquation

il;il;;

-(e)*Jt-z)z

-4(rX-9)

2(r)

or

OR

l-e-15)=3 2\

-(8)t

(8)2

- 4(1) (-24)

2(r)

Cqmnletine the sgugfe

(x- i2 - (- D2 -g= Q OR

b, + 4)2

-

42

x = 4.16, -2.16 Qr

y:2,32,-

10.32

OR

y :2.32r-

x:

10.32

or 4.16, -2,16

Notg:

OW-l if

347212

steps to solve quadratic equation arcnot showq.

-24=

o

Sub

TotaI

Marhs

Mark

347212

Mark Scheme

Ques

2

(a)

k+(9-lXx):52A

?Po+

Sub

Total

Marks

Mark

(t z-rX')J =474a

Solve simultaneous linear equations

x-

50

or

k: 120 I I

k- 120 or

x(b)

50

* 120 + (n- 1)*(50)

:

n-

4

5

48 + (n

- I)(74) 2

7

Note : Accept complete listing of the terms

3

(a)

9:t-

ytl!?:-.J

Y -(-3) =*2(x-1)

fllyC- -r/2, fllAD-2

or

-3 : * 2(I)+ c

Y: hc-5 (b)

3

Solve simultaneous equations ?x + 4y:20 and *y:2x - 5 2

D(4,3)

(c)

B (t0, o)

use

A

-%lf )-(

)l

;: i-1ro-iib:i;;:i;i +o *r| 22.5

347212

I

3

8

347212

(a)

I

| Use tTtrx ntz: -

1

I

rl I

substitute

l*r:;,mt:-3

gg-e-gY

x-- 1 into 4

?t:19-l(:-3-) ::

n;(

!)3 =_r

(- r)t

(b)

2- !

Integr ate

\ rrt

3

)c

11 y---+-+C 2xn

x

Substitute to find c

I 17 l)=--+-+'2xax2

s

(a)

of

Shape

sine

2cyclesfor0