MAJLIS PENGETUA SEKOLAH MENENGAH MALAYSIA

CAWANGAN NEGERI SEMBILAN DARUL KHUSUS

PROGRAM PENINGKATAN AKADEMIK TINGKATAN 5

SEKOLAH-SEKOLAH MENENGAH NEGERI SEMBILAN 2015

MARKING SCHEME FOR ADDITIONAL MATHEMATICS FORM 5 PAPER 1 - 2015

ADDITIONAL MATHEMATICS

1

(a) one to one

(b) 7

1

1

2

2

a) 3 – 2x

3 – 4(2

x)

b) 5

16

3 – 2x = 2

x – 5

2

B1

2

B1

4

3

(a) – 2

13

(b) 2

7

1

5)(1

xxk or

1

5

m

1

2

B1

3

4

1 < p < 9

1 9 p

( 3 – p)2 – 4(p)(1) < 0

3

B2

B1

3

5

f(x) = 32

9 (x – 4)

2 + 6 or f(x) =

32

9 x

2 + 6

2

3= a(0 – 4)

2 +6 or

2

3= (–4)

2a + 6

Maximum point (4,6) or y-intercept = 2

3 or f(x) = a(x – 4)

2+6

or maximum point (0, 6) or f(x) = ax2 + 6

3

B2

B1

3

6

10

17p or equivalent

0124

3)

4

3(2 2 pp

2

B1

2

No. Marking Scheme Marks Full Marks

No. Marking Scheme Marks Full Marks

7

2

29n or equivalent

3

3

4(2 – 3n) – 5

2n = 7

(24)

2 – 3n, 2

1

5 )2( n or 2

7

B2

B3

8

n = 4 –k

5 – n = 1 + k

log995 – n

= log99 + log94

log9(9 × 4) or using logarithm base 9

4

B3

B2

B1

4

9

a) r = 4

1

b) 3

80

4

11

20

1

2

B1

3

10

16

2000)12)(1()32(22

nn

32, 44, 56, … or d = 12 and a = 32

3

B2

B1

3

11

a) y2

b) 3

4h

13 = 5 + h(6)

1

2

B1

3

12

a) 1001.7 cm2

)65.2()30(

2

1 2 – )65.2()12(

2

1 2

)65.2()30(

2

1 2or )65.2()12(

2

1 2

b) 7

3

B2

B1

1

4

No. Marking Scheme Marks Full Marks

13 a) ~~

12)12( jik

~~~~2)7(2 jijik

a) 4 , – 5

2

B1

2

4

(2k+1)2 + (–12)

2 = 15

2

B1

14

a) Draw resultant vector ~~

3qp in diagram

Museum

b) ~~

23 pq

1

1

1

3

15

4h and 1k

4h or 1k

232

)6(32

h or 3

32

3)9(2

k

3

B2

B1

3

16

2

2

1

1

1

ap

pb

p

p seen

1

2

B1

3

17

a) k = 4

3 – k – (k + 1) = 1 – 2k – (3 – k)

b) – 403

2

13 [2(5) + 12(–6)]

2

B1

2

B1

4

No. Marking Scheme Marks Full Marks

18

(a) 16

(b) k = 25

26

1

3

B2

4

No. Marking Scheme Marks Full Marks

23

1

12

1 1

3 4

5

12

1 3 2 1

3 4 3 4

a

b

2

B1

2

B1

4

16 –

5

0

2

2

kx = 3

3)(5

0

5

0 dxkxdxxh

B1

19

3

2

2 8

4 2 2

3 4 2

a

b y x

y x

dyx or m

dx

1

3

B2

B1

4

20

1

11

2 8 3 2

8 2 2

dx

dt

dx

dt

dy dyx or

dx dt

3

B2

B1

3

21 3

2

3

1 seen

2

B1

2

22 72

120 48

2! 4! or 48 or 5! or 120

3

B2

B1

3

24

2

14

300054

12

2 16

a

x

b .

2

B1

1

3

25

8 2 9 1 10 010 10 10

8 9 10

8 2 9 110 10

8 9

10 010

10

0 2616

0 65 0 35 0 65 0 35 0 65 0 35

0 65 0 35 0 65 0 35

0 65 0 35

.

. . . . . .

. . or . .

or . .

C C C

C C

C

3

B2

B1

3