SKEMA PEMARKAHAN
PENILAIAN PERCUBAAN SPM NEGERI PAHANG 2017
MATHEMATICS 1449/2
SECTION A [52 MARKS]
Question
Mark Scheme
Sub Mark
Total Mark
1
(a)
(b)
Note : (M N) is correctly shaded award K1.
1
2
3
L
M
N
L
N
M
2
2
027382 xx
01321 xx
x = 21 or x = 13
The length of the paper = 21 cm
1
1
1
1
4
3
Volume of cone = 3
1 ×
7
22
× 142 × 48 ×
4
3
6
7392 or 1232
7
22
× 72 × t = 1232
8 cm
1
1
1
1
4
4
y = 3x or x + y = 60 4x = 60 OR
11
13
y
x =
60
0
y
x =
)1)(1()1(3
1
31
11
60
0 (2)
x = 15 y = 45
Note :
y
x =
45
15 award 1 mark
1
1
1
1
4
3
5
(a) Palsu / False
(b) Jika x2 1 = 8, maka x = 3 / If x2 1 = 8, then x = 3
Palsu / False
(c) Sudut pedalamannya bukan 108. / The interior angle is not
108.
(d) (4 × n2) n, n = 1, 2, 3, 4, ……..
1
1
1
1
1,1
6
6
(a) FAG
(b) tan FAG = 250
180 or equivalent
35.75 or 35 45’
1
1
1
3
7
(a) 360
270 × 2 ×
7
22 × 21 or
360
270× 2 ×
7
22 × 9
[360
270 × 2 ×
7
22 × 21] + 12 + [
360
270× 2 ×
7
22 × 9] + 12
1657
3 or 165.43 or
7
1158
(b) 360
270 ×
7
22 × 212 or
360
270×
7
22 × 92
[360
270 ×
7
22 × 212 ] [
360
270×
7
22 × 92 ]
8487
4 or 848.57 or
7
5940
1
1
1
1
1
1
6
4
8
(a) (A,N) (A,D) (A,S) (A,H) (C,N) (C,D) (C,S) (C,H) (K,N) (K,D) (K,S) (K,H) (F,N) (F,D) (F,S) (F,H) (b) (i) (A,H) (C,H)
16
2 or
8
1
(ii) (A,N) (A,D) (A,S) (C,N) (C,D) (C,S) (K,H) (F,H)
16
8 or
2
1
2
1
1
1
1
6
9
(a) y = 10
(b) y = 3
5x + c
10 = 3
5 (9) + c
y = 3
5 x 5
(c) Pintasan-y / y-intercept = 5
1
1
1
1
1
5
5
10
(a) 250A + 320B = 21600 280A + 310B = 22740
(b)
310280
320250
B
A =
22740
21600
B
A =
)280)(320()310)(250(
1
250280
320310
22740
21600
Grade A = RM48 Grade B = RM30
Note :
30
48 award 1 mark
1
1
1
1
1
5
11
(a) 17 minutes
(b) 8
1228
2 (c) [ ½ x (12 + 28) x 8] + [17 x 28] + [ ½ x (28 + V) x 15] = 1116 V = 36
1
1
1
2
1
6
6
Section B
Question
Mark Scheme
Sub Mark
Total Mark
12
(a)
x 2.5 2
y 19.2 24
1,1
(b) Refer to the graph.
Note:
1) if points are correctly marked on the graph. 2) the curve passes exactly through the points.
Graph :
Axes are drawn in the correct direction with uniform scale in
the range 3 x 4 and 48 y 48.
All 6 points and 2 points* are correctly marked
Smooth curve and continuously in range of 3 x 4 with no straight line part and passing through all the correct 8 points.
Note:
(i) 6 @ 7 points are correctly plotted, award 1 mark (ii) Other scale used, deduct 1 mark.
1
2
1
(c) (i) 12.5 ≤ y ≤ 14.5
(ii) 1.4 ≤ x ≤ 1.6
1
1
(d) Identify equation of Straight line correctly drawn
2.0 ≤ x ≤ 2.2 3.7 ≤ x ≤ 3.9
1
1
1
1
12
7
13
(a) (i) ( 6, 4)
(ii) ( 6, 1)
Note: Point (6, 1) award 1 mark
(iii) ( 10, 2)
Note: Point (6, 1) award 1 mark
1
2
2
(b) (i) (a) Y = Reflection in the line y = x
(b) X = Enlargement of scale factor 2 with centre (0,2).
(ii)
PQRS =
PQRS = 42
2
3
1
1
1
12
14
(a) (i)
1
2
1
Berat (kg) Mass (kg)
Kekerapan Frequency
Titik Tengah Midpoint
31 - 40 2 35.5
41 - 50 3 45.5
51 - 60 6 55.5
61 - 70 9 65.5
71 - 80 8 75.5
81 - 90 4 85.5
91 - 100 2 95.5
101 - 110 1 105.5
8
(ii)
12489632
)5.105(1)5.95(2)5.85(4)5.75(8)5.65(9)5.55(6)5.45(3)5.35(2
67.79
(b) Refer to the graph.
Uniform scales and correct axes, using class intervals, midpoints or
class boundries (30.5 x 110.5)
All *8 bars correctly drawn.
Histogram with 8 correct bars.
(c) Kelas mod / Modal class = 61 – 70
2
1
2
1
1
1
12
15
(a) (i) Correct shape with rectangle AFBCGD and a semicircle . All solid lines. JI > EF > FB Measurement correct to ± 0.2 cm (one way) and all angles
A, B, C and D = 900 ±10
1
1
2
I/H/D G C
B F J/E/A 3 cm
6 cm
5 cm
9
a) (ii) Correct shape with rectangle 8 cm x 3 cm and trapezium ABFE. All solid lines
AB = AJ > EF EJ Measurement correct to ± 0.2 cm (one way) and all angles 900 ±10
(except EFB & ABF)
1
1
1
8 cm
8 cm
5 cm
3 cm J/I
E/H F/G
B/C A/D
10
(b) Correct shape with rectangle BCGH and FGIJ. All solid lines Note : Ignore dashed lines. Dashed lines. BC = CG > GI Measurement correct to ± 0.2 cm (one way) and all angles 900 ±10.
1
1
1
2
12
16
(a) ( 30º N , 60º W) Note:
60º W award P2 OR 60o or ° W , award P1
3
B/A C/D
G/H
I J
F/E
6 cm
6 cm
4 cm 1 cm 1 cm
2 cm
11
(b) (90 30) x 60’ 3600 nautical miles
Note: 60 or ( 90 – 30 ) seen , award K1
(c) 60
4500
(75 – 30) or (30 – 75) 45o N
(d) 600
30 kos 60' x 50 4500
11.83
Note : (*50 x 60) ) or cos 30 award K1
2
1
1
1
1
2
1
12
12
y = 6x - 10
y=13.5
x=1.5 x=2.1
x=3.8 O 1 2 3 1 2 3
x
4
y
50
30
10
40
20
10
20
40
-30
50
X
X
X
X
X
X
X
13
Frequency
5
1
6
4
2
3
7
8
9
10
Mass (kg)
0
45.5 55.5 75.5 85.5 65.5 35.5 95.5 105.5