# Add Maths 1 Selangor (GGempur SPM) 09 (Marking Scheme)

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```					Program Peningkatan Prestasi Sains & Matematik 2009 Additional Mathematics Marking Scheme – Paper 1 1 (a)
f(x)
7 2

graph as shown
‘V’ shaped

2

6

(a) h = –5 (b) k = 25

1 1 1

B1 (c) x = –5

graph
1 3

(b) 0  f ( x)  7
x2 3

1

2

(a) f ( x) 

1 7 x = 16 log2 x = 4 3 log 2 x = 3 4 3 B2 B1

(b) k 

5 2 4k  3  7 f 1 (2)  4

3 B2

B1

3

(a) m  (b)

1 2

1 2 B1

8

y

9 x6

3

p  3

log3 x6y = log3 9 log3 xy + log3 x5 = log3 9 9 x=4

B2 B1

4 p 1 7

4

4 3 (4) 2  4(h)(3)  0 h

2 B1

2

8 x 3  6 x
10 a = 7, d = 5 a = 7 or d = 5 a + d = 12 and a + 9d = 52

B1

5

-1 < p < 3 (p -3)(p + 1) < 0 (-2p)2 – 4(2p + 3) < 0

3 B2 B1

3 B2 B1

1

11 r = 2
1 9 r = 256 or r 9 = 512 2

2

15

C(16, 2)

2

B1

 7  9 OQ         1  3     

B1

12

1 3  x3 x 1 xy = 2  3 x c=3 m=1

y=

4

16

(a) RP  RQ  QP =  2 y 3 x
~ ~

2 B1

B3 B2 B1

RQ  2 y or QP  3 x
~

~

(b) PS  x  2 y
~ ~

2 B1 1
~

SR  2 x or RS  2 x
~

1 13 (a) y = 2x – 6 (b) y =  x 
1 2 3 2 3 c 2

17 3 B2 B1

(a)

1 t

1 y – 0 =  x  3 or 2 1 m 2

(b)

t 1 t

2

sin (180o – ) = sin 

B1

14

h=

3 2

3

18

(a) 11.31 / 128 (b) 18.23
1   1 (11.31) 2    (8)(8) 2 4 2 1   (11.31) 2   2 4

1 3

24 6  2 or 2 2h  1  1 2h

B2 B1

B2

m=2

B1

2

19

dx 4  dt 3 dx 1   4 dt 3 dy  3 dx

3 B2 B1

23

(a) 840
6

2 B1 2 B1

C2 x 8C3

(b) 48
2

P  4! / 4x3x2x1x2 1

20

(a) p 

5 2

1

24

(a) 0. 7215 1–
10

2 B1 2 B1

5 (b) y  x 2  3x  2 4

C0 (0.12)0 (0.88)10

3 (b) 334 B2 0.2785 x 1200 B1 25

c=2
y 5 2 x  3x  c 4

21

3
1 1 4   4k 5 5

3

(a) k = 1.13
P( z  k )  0.1292

2 B1 2 B1

B2 (b) X = 81.61
X  85  1.13  3

 ( 4  x) 1      1( 1)  1

k

B1

22 (a) m = 30 (b)
4

1 2

10848
 x2  30 2 12

B1

3

```
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