5 marks scheme for add maths paper 1 trial spm

MARKS SCHEME FOR ADD MATHS PAPER 1 TRIAL SPM (SBP) 2010

Sub- Markah
No. Penyelesaian
markah penuh
1 (a) 3 1
2
(b) -1 1

3x 2 − 6 x + 1 2
2 2
3( x − 1) − 2
(a)
B1

4
4 2
1 ,
3
(b)
3x 2 − 6 x + 1 + 3 = x B1

3 33
(a) 1
4
0 , −2 2
(b) 2 x 2 + 5x = x B1

p < −8 , p>8 3

4 ( p ) 2 − 4(1)(16) < 0 B2 3
x 2 + px + 16 = 0 B1

1
5 (a) 1
2
2
1
(b) x= 1
2

1 3
k = −8 and , h = −
4
6 k = −8 or hk = 2 B2
3
2
2( x + 2) − 8 B1

OR

1 3
k = −8 and h = −
4
B2
4hk = 8 or 2h k − 8 = 0
2 2

2 x 2 + 4hkx + 2h 2 k 2 + k B1

0.4195
3
4 2 x = 3.2 B2
7 3
1 
4 2 x  + 1 = 4 B1
4 

6r + 2 − 8 p
3 log m 5 log m m 4 log m 3
+ −
log m m log m m log m m 3

3 log 5 log m 4 log 3 B2
8 or or (any base) or 3
log m log m log m
log 125 + log m or log m − log 81 or log 125 + log 81 or B1
1
log m m =
2

h = 12 2
9 (a)
h + 1 − (2h − 6) = h − 4 − (h + 1) B1
3

(b) -5 1

5.85 3
10 r = 2.5 B2
3
3
0.6r = 9.375 B1

3
0.75 or
4 2
11 (a) 9 27 81
T1 = or T2 = or T3 = or any relevant B1
16 64 256
terms
4
2
2.25
9
(b) 16 B1
3
1−
4

2.44 2
12 (a)
2 x + 30.5 = 55.5 or radius = 12.5 B1

4
190.625
1 2
(b)
(12.5) 2 (2.44) B1
2

5
m=− 2
13 (a) 2
(5 i − 12 j ) = λ (m i + 6 j ) B1
~ ~ ~ ~
3

5 i − 12 j
~ ~ 2
(b)
13
Magnitude = 13 B1

− 6 b+ 12 a 2
~ ~
14 (a) → →
SP + PQ B1

4
8 a+ 2 b 2
~ ~
(b) → 1 
QS =  − 12 a + 6 b 
3 ~ ~ B1

m = -6 and n = 6
m = -6 or n = 6
2−0 1
= 4
12 − 6 n B3
and
1 m B2
0 = ×6+
15
6 6 4

2−0 1
=
12 − 6 n
or B1
1 m
0 = ×6+
6 6

32 23
r = ,t =
3 5
2( 4) + 3( r ) 3
8= and
5
2(1) + 3(7) B2
t =
5

16 (a) 3

2(4) + 3(r )
8= or
5
2(1) + 3(7)
t=
5 B1

41.810 ,90 0 ,270 0 and 4
0
138.19
41.810 and
17 B3 4
90 0
2 cos x(3 sin x − 2) = 0 B2
3 × 2 sin x cos x − cos x = 0
B1

6( x 2 + 3)(5 x 2 + 3) 2
18 2
6 x( x 2 + 3) 2 B1

h =1 2
19 2
4(−1) + h = −3 B1

2
m=
3 3
25m m
− − 10 = −3m B2
20 2 2 3
5
 mx 2 
  − 2(5) = −3m B1
 2 1

K = 41.53 1

L = 37.5 1
21 4
G = 26
1
F = 54 1
22 (a) 792 1

160 2 3
(b)
4C1 × 6C 3 × 2C1 B1

23 (a) 720
1

260 3
2
(b)
6! × 3P1 B1

0.008491 2
24 (a)
10C 5 × (0.15) 5 × (0.85) 5 B1
4
0.8202 2
(b)
P(X=0)+P(X=1)+P(X=2) B1

25 (a) 0.0571
1

81.84 3
2
(b) 85 − µ
= 1.58 B1
2

TOTAL MARKS/JUMLAH MARKAH 80

END OF MARKS SCHEME

5 marks scheme for add maths paper 1 trial spm

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5 marks scheme for add maths paper 1 trial spm