SULIT
BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH DAN SEKOLAH KLUSTER KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERCUBAAN PMR 2009
MARKING SCHEME
MATHEMATICS PAPER 1 & PAPER 2
NOTE This marking scheme serves as a guide only. Other method which are equivalent and suitable may also be adapted and used in the awarding of marks. THANK YOU
This marking scheme consists of 5 printed pages
1
SULIT PEPERIKSAAN PERCUBAAN PMR SELARAS SBP 2009 SKEMA JAWAPAN MATEMATIK KERTAS 1 Q
Answer
Q
Answer
1.
D
21.
C
2.
C
22.
C
3.
C
23.
C
4.
C
24.
D
5.
A
25.
D
6.
A
26.
C
7.
B
27.
C
8.
A
28.
B
9.
B
29.
A
10 .
C
11 .
B
12 .
B
13 .
A
14 .
C
15 .
A
16 .
D
17 .
B
18 .
A
19
B
30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 2
A C D C B C D A B C
SULIT
20 .
40.
B
D
SKEMA JAWAPAN MATEMATIK KERTAS 2 Marking Scheme 1 2 3
4
5
6
7
Sub mark K1 N1
(–12) –4
Full mark 2
7 7.48
K1 N1
5 4 (b) (-0.8)2 0.64
N1
1 k k @ 4w – 2 2 (b) 6x2 + 4x – 9x – 6 @ -3x2 + 3x 3x2 – 2x - 6
P1 K1 N1
3
(a) 5gh(1 – 5gh ) ( b) p(1+ q) – 2(1+q) (p-2)(1+q)
P1 K1 N1
3
3h 2 h 2 + 2 3h 2 − h 2 − 2 @ − 2h 2h 2h 2 2h − 2 2h 2 h −1 h
K1
7 or equivalent 2 (b) 3a – a = –5 – 9 or 2a = –14 a=–7
N1 K1
(a)
K1 N1
(a) 4w -
2
3
K1 N1
(a) e =
N1
3
3
3
SULIT 8
2ab – b = c or b(2a – 1) = c c b= 2a − 1
K1 N1
4
2
SULIT 9
(a)
(a)
(c) 10
Construct angle 1200 Line AD Angle 450 Line DC 9.5 cm ± 0.1cm
K1 K1 K1 K1 N1
(a) NOL or N to L or straight line NL
5
P2 Note: Draw only P1
(b) Draw semi circle, centre K, radius 4 cm. (c) draw angle bisector of ∠P K
P
Q
K1 K1
⊗ N
S
(d)
O
L
⊗ M
R
Mark intersections of two loci
N1
11
Image drawn correctly
12
Note : Award P1 a. image drawn using dotted line b. sketch (a) ( –2 , –1 ) 1 (b) 2
5
P2
5
2 P1 2 N1
SULIT 13
P2
2
Image drawn correctly Note: 1. Dotted line P1 2. One or two side wrongly drawn P1 3. More than 2 side wrongly drawn P0 14
1 2
5 × ( 5 × 4) 0
5 ×
15
16
1 4
1 2
−
1 2
or equivalent
P1 P1
or equivalent
1 2
N1
3x × 3x – 3 = 33
P1
x + x – 3 = 3 @ 2x = 6
P1
x=3
N1
P > -1
P1
P≤6
P1
– 1
6
@ 6
3
3
SULIT N1 3 –1 0 1 2 3
4 5
6
7
SULIT 17
i. Correct scale ii. All points plotted correctly iii. Points joined using a ruler
K1 K2 K1
Note 1 : i. wrong scale – 0 mark ii. more then 2 points wrongly plotted – 0 mark iii. 1 or 2 points plotted wrongly – 1 mark iv. points joined without ruler / dotted line – 1 mark 18
( a) 17 (by using Pythagoras’ Theorem or Pythagorean Triple)
4
K1 N1
15 Seen ------ P1
19
20
3
8 17
N1
(a) ∠D = 105 o
N1
(b) A = 72 C = 40
N1 N1
Correct scale All points correctly plotted Smooth graph
K1 K2 N1
( b) Tan y =
y
x
0
1 or 2 incorrect plotted
3
P1
4
8