jawapan matematik kertas 2 set 1 pahang
SULIT
1449/2(GMP)
Mathematics
Kertas 2 ( Set 1 )
Peraturan
Pemarkahan
2017
1449/2(GMP)
SKEMA PRAKTIS BESTARI
PROJEK JAWAB UNTUK JAYA (JUJ) 2017
MATHEMATICS
Kertas 2
SET 1
PERATURAN PEMARKAHAN
UNTUK KEGUNAAN GURU MATA PELAJARAN SAHAJA
1449/2(GMP) ©
Peraturan pemarkahan ini mengandungi 13 halaman bercetak
[Lihat halaman sebelah
2017 Hak Cipta JUJ Pahang
SULIT
SULIT
2
Question
1449/2(GMP)
Solution and Mark Scheme
1(a)
Marks
L
K
M
P1
(b)
K
L
M
P2
1449/2(GMP) ©
2017 Hak Cipta JUJ Pahang
3
SULIT
3
Question
2
Solution and Mark Scheme
(3x + 2)2 = ½ (4x + 8)4x
2
1449/2(GMP)
Marks
K1
x - 4x + 4 = 0
K1
(x – 2)(x-2)
KI
Perimeter = 32
N1
3
1449/2(GMP) ©
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
2017 Hak Cipta JUJ Pahang
4
K1
K1
N1N1
4
[ Lihat halaman sebelah
SULIT
SULIT
4
Question
4
5
Solution and Mark Scheme
(a) ∠SVR
(b)
9
tan ∠SVR =
11
9
∠SVR = tan−1
11
= 39.29° or 39o 19’
m
4
3
4
4
8 (1) C or 0 (5) C
3
3
20
C=
3
4
20
y x
3
3
DF = 6 unit or DE = 8 unit or EF = 10 unit
Coordinate of point G is (5, 10)
1449/2(GMP)
Marks
P1
K1
N1
3
P1
K1
K1
K1
N1
5
6
= 6 × (10 × 3 × 2)
=
��
=
= 0.52
7
× .
K1
K1
= 40 0.52
= 20.8
= 360 ��
20.8
= 17.31
17 necklaces
K1
N1
4
1449/2(GMP) ©
2017 Hak Cipta JUJ Pahang
SULIT
SULIT
5
Question
Solution and Mark Scheme
(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
7
8.
m = 5 , k = -9
9.
−
−
−
= −
240
22
1
22
(2) ( ) (14)or (2) ( ) (7)
360
7
2
7
14
P1
P1
P1
P1
P1
5
P1
=
=
Marks
P1,P1
=
=
1449/2(GMP)
240
22
1
22
(2) ( ) (14) (2) ( ) (7)
360
7
2
7
−
K1
N1N1
6
K1
K1
N1
= 94.67
240 22
1 22
( ) (14)(14) or ( ) (7)(7)
360 7
2 7
K1
240 22
1 22
( ) (14)(14) ( ) (7)(7)
360 7
2 7
K1
= 333.67
N1
1449/2(GMP) ©
2017 Hak Cipta JUJ Pahang
6
[ Lihat halaman sebelah
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)
P2
(b) (i) (E,2) (A,2)
K1
N1
(ii) (E,1) (E,7) (X,1) (X,7) (A,1) (A,7) (M,2) (M,0) (M,1) (M,7)
K1
6
N1
11
(a) 8 – 5 = 3
P1
(b) 50 0
K1
5 0
= 10
(c) 50 50 10
k
k = 10
1449/2(GMP) ©
2017 Hak Cipta JUJ Pahang
N1
K1
N1
5
SULIT
SULIT
7
Question
1449/2(GMP)
Solution and Mark Scheme
12
(a)
Marks
x
-3.5
0.5
y
23.25
- 8.75
P1P1
(b)
Graph
Axes are drawn in the correct direction, uniform scale for
-5 x 3.
P1
7 points and 2 points* plotted accurately
K2
Smooth and continuous curve without straight line(s) and
(c)
passes through all the 9 correct points for -5 x 3.
N1
(i)
6 < y
1449/2(GMP)
Mathematics
Kertas 2 ( Set 1 )
Peraturan
Pemarkahan
2017
1449/2(GMP)
SKEMA PRAKTIS BESTARI
PROJEK JAWAB UNTUK JAYA (JUJ) 2017
MATHEMATICS
Kertas 2
SET 1
PERATURAN PEMARKAHAN
UNTUK KEGUNAAN GURU MATA PELAJARAN SAHAJA
1449/2(GMP) ©
Peraturan pemarkahan ini mengandungi 13 halaman bercetak
[Lihat halaman sebelah
2017 Hak Cipta JUJ Pahang
SULIT
SULIT
2
Question
1449/2(GMP)
Solution and Mark Scheme
1(a)
Marks
L
K
M
P1
(b)
K
L
M
P2
1449/2(GMP) ©
2017 Hak Cipta JUJ Pahang
3
SULIT
3
Question
2
Solution and Mark Scheme
(3x + 2)2 = ½ (4x + 8)4x
2
1449/2(GMP)
Marks
K1
x - 4x + 4 = 0
K1
(x – 2)(x-2)
KI
Perimeter = 32
N1
3
1449/2(GMP) ©
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
2017 Hak Cipta JUJ Pahang
4
K1
K1
N1N1
4
[ Lihat halaman sebelah
SULIT
SULIT
4
Question
4
5
Solution and Mark Scheme
(a) ∠SVR
(b)
9
tan ∠SVR =
11
9
∠SVR = tan−1
11
= 39.29° or 39o 19’
m
4
3
4
4
8 (1) C or 0 (5) C
3
3
20
C=
3
4
20
y x
3
3
DF = 6 unit or DE = 8 unit or EF = 10 unit
Coordinate of point G is (5, 10)
1449/2(GMP)
Marks
P1
K1
N1
3
P1
K1
K1
K1
N1
5
6
= 6 × (10 × 3 × 2)
=
��
=
= 0.52
7
× .
K1
K1
= 40 0.52
= 20.8
= 360 ��
20.8
= 17.31
17 necklaces
K1
N1
4
1449/2(GMP) ©
2017 Hak Cipta JUJ Pahang
SULIT
SULIT
5
Question
Solution and Mark Scheme
(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
7
8.
m = 5 , k = -9
9.
−
−
−
= −
240
22
1
22
(2) ( ) (14)or (2) ( ) (7)
360
7
2
7
14
P1
P1
P1
P1
P1
5
P1
=
=
Marks
P1,P1
=
=
1449/2(GMP)
240
22
1
22
(2) ( ) (14) (2) ( ) (7)
360
7
2
7
−
K1
N1N1
6
K1
K1
N1
= 94.67
240 22
1 22
( ) (14)(14) or ( ) (7)(7)
360 7
2 7
K1
240 22
1 22
( ) (14)(14) ( ) (7)(7)
360 7
2 7
K1
= 333.67
N1
1449/2(GMP) ©
2017 Hak Cipta JUJ Pahang
6
[ Lihat halaman sebelah
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)
P2
(b) (i) (E,2) (A,2)
K1
N1
(ii) (E,1) (E,7) (X,1) (X,7) (A,1) (A,7) (M,2) (M,0) (M,1) (M,7)
K1
6
N1
11
(a) 8 – 5 = 3
P1
(b) 50 0
K1
5 0
= 10
(c) 50 50 10
k
k = 10
1449/2(GMP) ©
2017 Hak Cipta JUJ Pahang
N1
K1
N1
5
SULIT
SULIT
7
Question
1449/2(GMP)
Solution and Mark Scheme
12
(a)
Marks
x
-3.5
0.5
y
23.25
- 8.75
P1P1
(b)
Graph
Axes are drawn in the correct direction, uniform scale for
-5 x 3.
P1
7 points and 2 points* plotted accurately
K2
Smooth and continuous curve without straight line(s) and
(c)
passes through all the 9 correct points for -5 x 3.
N1
(i)
6 < y