1. SULIT
BK 9
3
MARK SCHEME FOR ADDITIONAL MATHS. – BK 9
PAPER 1
No. Mark Scheme S Marks
1 (a)
3
2
− 1
(b) 3 1
2
2
− 1 2
f(x) = 2 – 3x atau
2
1
− q
3
= B1
2
3
15x2 - 2x – 1 = 0 atau setara 3
1
m
+
1
n
=
2
15
+
m n
mn
= atau
1 1
m n
=
1 1
mn 15
= − B2
m + n = - 2 dan m (n) = - 15 B1
3
4
-3 p 3 3
P B2
( -6)2 – 4(p)(p) 0 B1
3
5
(a) 4 1
(b) x = 4 1
(c) ( 4, -3 ) 1
3
6
10 3
3
( 2) 2(1 )
2
x + = − − x B2
1
3( x
2)
3 2 3 2(1 x
)
+
− − = B1
3
−3 3 −3 3

2. SULIT
BK 9
4
7
1
4
p = 3
2
2
1 3
=
−
p
p
B2
2
2
p
=
− p
log 1
1 3
B1
3
8
(a) 4 1
(b) 2 2
6 − 4 or 10 – 2(4) B1 for using S2 in T2 = S2 – S1 or
S2 – 2S1
3
9 (a) a = 64 and r =
1
2
2
3 ar = 8 or 3 4 ar + ar = 12 or 8 + 8r = 12 B1
(b) 128 2
*
64
1
1
2
*
−
B1 ( * follow through from the value of a and r )
4
10
p = −3 ,q =
1
2
(both) (3)
p = −3or q =
1
2
B2
1 1
= − px
+
y q
m = 3 or c = 2 B1
3

3. SULIT
−
−
or 3(2i +5 j) − (−2i +9 j)
BK 9
5
11
k = −4 dan h =
1
3
− 3
k = −4 atau h =
1
3
− B2
2
3
2
= −
k −
atau 3h = (k – 2) + 5 B1
3
12
14.25 3
1
1
(40) 7
10.5 4 10
8
Q
−
= +
B2
L =10.5 or F =7 and f = 8 B1
3
13
(a) k = 3 1
(b) m = 6 2
3(m – 2) = 12 B1
3
14
(a)
8
8 6 or
6
i j
+
% %
2
2 2
3
5 9
% % % %
B1
(b)
i + j
% % 2
4 3
5
2 2 8 + 6 @ 10 B1
4

4. SULIT
5P = 120 1
4 P × P atau 4 x 3 x 2 x 3 B1
6 C × C = 200 1
6 C × C + 0
6 C × C B1
BK 9
6
15
(a)
13
12
− 2
1
cos A
B1
(b)
16
63
− 2
+ −
5 3
12 4
5 3
1
− −
12 4
B1
4
16
(a) 4
(b) 72 2
1
3
3
3
17
.
5
(a) 3
2
(b) 281 2
6 C × 5
C + 3
2
1
5
4
5
5
3
18
(a) q = 1.5 radian 2
1 2
(8)
2
(q ) = 48 B1
(b) 12 cm 2
8(1.5) B1
4

5. SULIT
8
− 3
y 2
BK 9
7
19
(a) 30x + 60 1
(b) − 60 2
dy
dx
= @ x = −2 B1
for 0
3
20
p
56
3
1
d r pp
= × B2
( )
p
2 28
2 or 28
dA
r r
dr
= p = B1
3
21
9
1
( )

6. − +
−

7. 1
+ 2 2 2( 1) 1
(2(1) 1)
B2
1
1
3
2 (2 1)
1
3
−

8. x +
B1
3
22
(a)
1
2
2
p(6) – 3 = 0 B1
2
x
= − x +
(b) 3 8
4
x c
x
2
y = − 3 +
4
B1
4
23
.
(a) 0.063 1
(b) 0.91 2
0.7 + 0.7 x 0.3 B1
3

9. SULIT
−
3 5 3 5
8 8 8 8
BK 9
8
24
(a) 0.1014 2
3 5
8
3
5 3
8 8
C
B1
(b) 0.8649 // 0.8650 2
P(X ³ 2) = 1 −
0 8 1 7
8 8
C C
0 1
B1
4
25
(a) 6.6 2
15
3.5
−μ
= B1
2.4
(b) 0.5662 2
* 7 6.6
2.4
z
−
£ B1
4
END OF MARK SCHEME