SULIT 1449/2(GMP)
1449/2(GMP)
Mathematics
Kertas 2 ( Set 1 )
Peraturan
Pemarkahan
2017
SKEMA PRAKTIS BESTARI
PROJEK JAWAB UNTUK JAYA (JUJ) 2017
MATHEMATICS
Kertas 2
SET 1
PERATURAN PEMARKAHAN
UNTUK KEGUNAAN GURU MATA PELAJARAN SAHAJA
Peraturan pemarkahan ini mengandungi 13 halaman bercetak
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1449/2(GMP) © 2017 Hak Cipta JUJ Pahang SULIT
SULIT 2 1449/2(GMP)
Question Solution and Mark Scheme Marks
1(a)
(b)
P1
P2
3
1449/2(GMP) © 2017 Hak Cipta JUJ Pahang
L
K M
K L
M
SULIT 3 1449/2(GMP)
Question Solution and Mark Scheme Marks
2
(3x + 2)2 = ½ (4x + 8)4x
x2 - 4x + 4 = 0
(x – 2)(x-2)
Perimeter = 32
K1
K1
KI
N1
4
3
p + 2q = - 9 ------------ (1)
(1) × 5
5p + 10q = - 45 ------------ (2)
5p - q = - 1 ------------ (3)
(2) - (3),
11q = -44
q = - 4
5p + 4 = - 1
5p = - 5
p = -1
∴ p = -1, q = - 4
K1
K1
N1N1
4
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SULIT 4 1449/2(GMP)
Question Solution and Mark Scheme Marks
4 (a) ∠SVR
(b) tan ∠SVR =
11
9
∠SVR = tan−1 11
9
= 39.29° or 39o 19’
P1
K1
N1
3
5
3
4m
C )1(3
48 or C )5(
3
40
C = 3
20
3
20
3
4 xy
DF = 6 unit or DE = 8 unit or EF = 10 unit
Coordinate of point G is (5, 10)
P1
K1
K1
K1
N1
5
6
= 6 × (10 × 3 × 2)
= 360 𝑐𝑚3
= 4
3
22
7× 0.53
= 0.52
= 40 0.52
= 20.8
= 360 𝑐𝑚3 20.8 = 17.31 17 necklaces
K1
K1
K1
N1
4
1449/2(GMP) © 2017 Hak Cipta JUJ Pahang SULIT
SULIT 5 1449/2(GMP)
Question Solution and Mark Scheme Marks
7
(a) i. True
ii. False
(b) Implication 1 : If 15x > 45 then x > 3 Implication 2 : If x > 3 then 15 x > 45
(c) ABCD is a trapezium
P1
P1
P1
P1
P1
5
8. m = 5 , k = -9
(4 39 8
) (𝑥𝑦) = (
611
)
(𝑥𝑦) =
1
4(8) − 3(9)(
8 −3−9 4
) (6
11)
(𝑥𝑦) = (
3−2
)
𝑥 = 3 𝑦 = −2
P1,P1
P1
K1
N1N1
6
9.
)7()7
22()2(
2
1)14()
7
22()2(
360
240or
)7()7
22()2(
2
1)14()
7
22()2(
360
24014
= 94.67
)14)(14()7
22(
360
240 or )7)(7()7
22(
2
1
)14)(14()7
22(
360
240 )7)(7()7
22(
2
1
= 333.67
K1
K1
N1
K1
K1
N1
6
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1449/2(GMP) © 2017 Hak Cipta JUJ Pahang SULIT
SULIT 6 1449/2(GMP)
Question Solution and Mark Scheme Marks
10
(a) (E,2) (E,0) (E,1) (E,7) (X,2) (X,0) (X,1) (X,7) (A,2) (A,0) (A,1) (A,7) (M,2) (M,0) (M,1)(M,7)
(b) (i) (E,2) (A,2)
1
8
(ii) (E,1) (E,7) (X,1) (X,7) (A,1) (A,7) (M,2) (M,0) (M,1) (M,7)
5
8
P2
K1
N1
K1
N1
6
11 (a) 8 – 5 = 3
(b) 05
050
= 10
(c) 105050
k
k = 10
P1
K1
N1
K1
N1
5
1449/2(GMP) © 2017 Hak Cipta JUJ Pahang SULIT
SULIT 7 1449/2(GMP)
Question Solution and Mark Scheme Marks
12
(a)
(b)
(c)
(d)
Graph
Axes are drawn in the correct direction, uniform scale for
-5 x 3.
7 points and 2 points* plotted accurately
Smooth and continuous curve without straight line(s) and
passes through all the 9 correct points for -5 x 3.
(i) 6 < y < 8
(ii) 2.6 < x < 2.7, -3.0 < x < -3.1
Note: Do not accept the values of x and y obtained by calculation
The straight line y = 7x + 30 drawn correctly
Identify the equation y = 7x + 30 or equivalent award K1
The value of x: -2.9 < x < - 2.7
x -3.5 0.5
y 23.25 - 8.75
P1P1
P1
K2
N1
P1
P1P1
K2
N1
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1449/2(GMP) © 2017 Hak Cipta JUJ Pahang SULIT
12
SULIT 8 1449/2(GMP)
Question Solution and Mark Scheme Marks
13(a)
(i)
(ii)
(b)(i)
(ii)
( 0, - 2 )
( 4 , - 1 )
( 6 , 2 ) seen or plot on graph award K1
M : Rotation 900 , anticlockwise, at ( 0, - 3 )
N : Enlargement with scale factor 3 at centre E
( 32 x 35 ) - 35
280 m2
P1
P2
P3
P3
K2
N1
14.
(a)
(b)
Column I Column II Column III
Weight
Berat
Midpoint
Titik tengah
Frequency
Kekerapan
30 – 39 34.5 2
40 – 49 44.5 6
50 – 59 54.5 7
60 – 69 64.5 10
70 – 79 74.5 8
80 – 89 84.5 4
90 – 99 94.5 3
Column I (all class interval correct)
Column II (all midpoint correct)
Column III (all frequency correct)
40
)3(5.94)4(5.84)8(5.74)10(5.64)7(5.54)6(5.44)2(5.34
64.50
P1
P1
P2
K2
N1
1449/2(GMP) © 2017 Hak Cipta JUJ Pahang SULIT
12
SULIT 9 1449/2(GMP)
Question Solution and Mark Scheme Marks
(c)
(d)
Refer graph:
Axes drawn in the correct directions with uniform scales,
for 29.5 ≤ x ≤ 99.5 and 0 ≤ y ≤ 10.
Horizontal axis labelled by using upper boundary ormidpoint or class
interval and 7* bars drawn correctly
Histogram drawn correctly
Note :
1. 5 or 6 bars drawn correctly award K1
2. Other uniformed scales used award N0.
The modal class is 60 – 69 or
any correct information about the weight of meat sold each day.
P1
K2
N1
K1
15
(a)
The shape must be correct. All lines must be fully drawn.
Measurement must be accurate to 0.2 cm and all angles = 90o 1
*Note: The shape is correctly drawn award 1 m
K1
K1
N1
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1449/2(GMP) © 2017 Hak Cipta JUJ Pahang SULIT
12
6 cm
T/S X/R
U/P V
Y/Q
2 cm 2 cm W
X/W Y/I
R/S
H/E G/F
Q/P
V
U T
2 cm
3 cm
1 cm 4 cm
6 cm
SULIT 10 1449/2(GMP)
Question Solution and Mark Scheme Marks
(b)(i)
The shape must be correct. All lines must be fully drawn.
Measurement must be accurate to 0.2 cm and all angles = 90o 1
*Note: The shape is correctly drawn award 1 m
(ii)
The shape must be right with the rectangles. All lines included the dotted
lines must be shown completely.
Measurement must be accurate to 0.2 cm and all angles at rectangle
vertex = 90o 1
*Note: The shape is correctly drawn award 1 m
K1K1
N2
K1K1K1
N2
1449/2(GMP) © 2017 Hak Cipta JUJ Pahang SULIT
V/I/W Y/X
G/H
Q/R P/S
F/E
U/T 4 cm
1 cm
4 cm
3 cm
2 cm
12
SULIT 11 1449/2(GMP)
Question Solution and Mark Scheme Marks
16
(a)
(b) R(46oU , 110oT)
(c) (i) (70 +110) 60 kos 46 + 2760
10262.3
(ii). 600
3.10262
17.10
P1 P1
P1
P1P1P1
K1K1K1
N1
K1
N1
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1449/2(GMP) © 2017 Hak Cipta JUJ Pahang SULIT
P
Q R
12
SULIT 12 1449/2(GMP)
1449/2(GMP) © 2017 Hak Cipta JUJ Pahang SULIT
y
x
60
50
40
30
20
10
0
-10
-20
-30
-40
-5 - 4 - 3 - 2 - 1 1 2 3
SULIT 13 1449/2(GMP)
Question 14 Histogram
34.5 44.5 54.5 64.5 74.5 84.5 94.5
94.5
1
2
3
4
5
6
7
8
9
10
0
Frequency
Weight
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