Skema Matematik Kertas 2 Percubaan PMR SARAWAK 2011
Transcript of Skema Matematik Kertas 2 Percubaan PMR SARAWAK 2011
- 1 -
PEPERIKSAAN PERCUBAAN PMR 2011
MATHEMATICS PAPER 2
ANSWER
No Solution and Mark Scheme Sub
Mark
Full
Mark
1
3 × (– 18 + 20 4 )
= 3 × ( –18 + 5 )
= 3 × ( – 13 )
= – 39
1
1
2
2
(4− 0.22) × 12
1
= 3.78 × 2
3
= 5.67
1
1
2
3
. a. 4
16
= 4
25
= 2
5 OR 2
2
1
b. . (64
81 − 1 )
3
= ( 8
9 − 1 )
3
= (8
1)3
= 512
1
1
1
1
3
Note:
Award 1 mark for – 13 seen
Note:
Award 1 mark for 3.78 seen
Note:
Award 1 mark for 8
9 or
8
1 seen
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4
a. 4 − x = 1
− x = 1 − 4
− x = − 3
x = 3
b. 4
x − 3 = x + 3
. 4
x − x = 3 + 3
. 4
3x = 6
−3x = 24
x = − 8
1
1
1
3
5
Complete diagram drawn
2
6
(a) (4,3)
(b) 3
1
1
2
P
Q R
S
R′
S′ M
N
Q′ P′
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7 (a) PN
Note: Award 1 mark for PN drawn on the diagram.
(b)
Locus Y drawn correctly
Locus Z drawn correctly
marked correctly
2
1
1
1
5
8
Uniform scale marked correctly on vertical axis
All the five points marked correctly
All the points joined with straight line
Note: If scale is not written or different scale used, but all
the points plotted correctly, award 1 mark.
If scale is not written or different scale used, but line
graph drawn correctly, award 2 marks.
1
1
1
3
Number of
students
Bilangan pelajar
2006 2007 2008 2009 Year
Tahun
2010
25
20
15
10
5
P Q
S R N
M
Locus Z
Locus Y
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9
a) 4t + 5
b) mmm 101525102
= 102 m
1
1
1
3
10 (a) 2g( 5 – k)
(b) 12 – 27p2
= 3 ( 4 – 9p2)
= 3 ( 2 + 3p ) ( 2 – 3p)
1
1
1
3
11
Complete diagram drawn
Note: Any 2 sides drawn correctly, award 1 mark
Any 3 sides drawn correctly, award 2 marks
3
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12 (a) (i), (ii)
Correct construction of 60°.
Line SR = 4 cm correctly drawn.
Complete quadrilateral drawn.
Correct construction of perpendicular line from point S to QR.
(b) 3.5 cm ± 0.1
1
1
1
1
1
5
13
22 )3()2( ddc
2
92 ddc OR 2
232 ddc
ddc 2
92
2
92 dd
c
OR 2
19 )(
ddc
1
1
1
3
14 a) 235 p
= 0p
= 1
b) 4)3(2 33 xx
4)3(2 xx
462 xx
642 xx
10x
1
1
1
3
Q R
P
S
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15 a)
Grades
Gred A B C D E
Frequency
Kekerapan 2 8 5 4 1
Note: 3 or 4 answers in the frequency table correctly
filled, award 1 mark.
b) Grade B
2
1
3
16
26
65
2
3
p
p
p
2
6
659
p
pp
2
6
64
p
p
2
6
322
p
p )(
2
3
32
p
p
1
1
1
3
17
a. 3 + q ≤ 7
q ≤ 7 − 3
q ≤ 4
b. 6x − 2 ≥ 2(3 + x )
6x − 2 ≥ 6 + 2 x
6x − 2x ≥ 6 + 2
4 x ≥ 8
x ≥ 2
1
1
1
3
18
ST
PQ =
SR
QR
ST
2 =
8
3
ST = 3
82
= 3
16 OR 5
3
1 cm
1
1
2
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19 (a) cos x
o =
10
6 =
5
3
(b) PS = 22 817 = 15 OR PR = 22 810 = 6
RS = PS – PR
=15 – 6
= 9 cm
Note : If 15 or 6 is marked correctly in the diagram, award 1 mark
1
1
1
3
20
x
y
5
х
х
х
х
х
х
х
10
15
20
1 2 3 O – 1 – 2 – 3
– 5
– 10
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1. Uniform scale on y-axis marked correctly in the
range 2010 y
2. All 7 points correctly plotted.
Note:
5 or 6 points marked correctly or curve passes through 5
or 6 points, award 1 mark.
3. Smooth curve passes through all the 7 points.
Note:
If scale is not written but all the points plotted correctly,
award 2 marks.
For other scale on the y-axis, deduct 1 mark from the
total marks obtained.
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2
1
4