jawapan matematik kertas 2 pahang

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1449/2(GMP)
Mathematics
Kertas 2 ( Set 2 )
Peraturan
Pemarkahan
2017

1449/2(GMP)

SKEMA PRAKTIS BESTARI
PROJEK JAWAB UNTUK JAYA (JUJ) 2017

MATHEMATICS
Kertas 2
SET 2
PERATURAN PEMARKAHAN

UNTUK KEGUNAAN GURU MATA PELAJARAN SAHAJA

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Question

1

2

1449/2(GMP)

Solution and Mark Scheme

y  3x + 6

x+y6
y0

3t² - 4t - 15 = 0
(t - 3)(3t + 5) = 0 or equivalent
OR

Sub
Mark
Mark
P1
P1
P1
3
K1
K1

(K1)

2

N1

t=3,t=The particle will stop when t is 3 seconds.

N1

Note:
1. Accept correct terms on the same side, in any order.
2. Accept correct answer from three correct terms without factorisation
Or incomplete working for Kk2.
x + y = 3 or y – 3x = 10 (from y+5=3(x+5) or equivalent
OR
x = 3 – y or y = 3 – x or y = 10 + 3x or x = y – 10
(K1)
3
4x = 28 or 4y = 124
OR

4

K1

K1

3
(K2)
or
Umur Fatimah sekarang(x) = 7 tahun
Umur ibunya sekarang = 38-7
= 31 tahun
(a) NEM or MEN

N1
N1
4
P1

(b) LN:NM = 3:2
4

NM=

X 20 = 8

tan NEM =

NEM = 26.57º
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K1
K1
N1
4
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3

Question

Solution and Mark Scheme

1449/2(GMP)
Sub
Mark
Mark
K1

K1
+

K1

5

N1

467.25
Note:
1. Accept π for K mark
2. Accept correct value incomplete subtitution for K mark
3. Correct answer from incomplete working award Kk2

P1

=

6

4

4=

(12) + c

K1

y=

x–4

N1

(b) y =

K1

(0) – 4

N1

x-intercept = 4

4

7

(a) False / Palsu

P1

(b) True / Benar

P1

B

P1

(d) 10² - 2(10) + 2
82

K1
N1

(c) A

5
(a) 6p – 3q = 14
3p + 2q = -7

P1
(P1)

8
P1

(b)

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4

Question

1449/2(GMP)

Solution and Mark Scheme
or

p=

K1

N1

q = -4
Note:
1. Do not accept

2.

Sub
Mark
Mark

N1
or

as final answer, award N1
or

p=
q = -4
Note:
1. Do not accept

2.

or

as final answer, award N1

3. Do not accept any solutions solved not using matrix method.
5
(a) 10 + 10 +

(K1)
9

K2

+

or

(K1)
39.38

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N1

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5

Question

1449/2(GMP)
Sub
Mark
Mark
K2

Solution and Mark Scheme

(b)

(K1)
(K1)

N1

66.90
Note:
1. Accept  for KN mark.
2. Accept correct value from incomplete substitution for K mark.
3. Correct answer from incomplete working Kk2
(a)Sampel space,
S = {56,57,58,59,65,67,68,69,75,76,78,79,
85,86,87,89,95,96,97,98}
Note : Allow two mistake in listing the sample space for P1
(b)(i) {65,67,68,69}
10

6
P2

K1
N1

=

K1

(ii) {57,59,75,79,95,97,68,86}
=

N1

Note: Accept answer without working for K1N1
(a)

K1

=4
v = 17

N1

(b) Distance of particle Q =

+

(100-20) – 67

11

6

K2

K1

Note:
or
13 m

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award K1
N1
6
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6

Question

Solution and Mark Scheme

1449/2(GMP)
Sub
Mark
Mark

(a)
x
y

-2
3

2.5
-2.4

(b Graph
Axes drawn in the correct directions with uniform scale for
0 t  3 and  13  h  7
All 5 points and *2 point correctly plotted or curve passes
through all the points for 0 t  34 and  13  h  7
A smooth and continuous curve without any straight line passes
through all 7 correct points using the given scale for
0 t  34 and  13  h  7

P1P1

P1

K2
N1

Note:
1. 5 or 6 points plotted correctly, award K1
2. Ignore curve out of range.

(c) (i) y = 5
12

(ii) x = 0.85
(d) Straight line y = –2x correctly drawn
Identify equation y = –2x award K1
1.65x1.85
-1.65x-1.85

P1
P1

K2
N1
N1

Note:
1. Allow N marks if values of t are shown on the graph.
2. Values of t obtained by calculation, award N0

12
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7

1449/2(GMP)

y
12

10

8

6

4

2

-4

-3

-2

-1

1

2

3

4

x

-2

-4

-6

-8

-10

-12

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8

Question

1449/2(GMP)

Solution and Mark Scheme
(a)(i)(a) (-2 , 1)
(b) (3 , 0)
Note:
(3,0) marked on diagram or (1,3) seen or (1,3) marked on diagram,
award P1

13

(b)(i)(a) Enlargement of scale factor 2 with centre (8,7)
Note:
1. Enlargement centre (8,7) or Enlargement scale factor 2,
award P2 .

Sub
Mark
Mark
P1
P2

P3

2. Enlargement, award P1 .
(b) Enlargement of scale factor 2 with centre (-4,3)
(ii) 25 × * 22
( 25*22 ) − 25
75

P3
K1
K1
N1
12

14

(a)(i) 40
(ii)
Time (minutes)
Masa (minit)
1-5
6-10
11-15
16-20
21-25
26-30
31-35
36-40
41-45

P1
Midpoint
Titik tengah
3
8
13
18
23
28
33
38
43

b)
= 21.63 minutes

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Frequency
Kekerapan
0
3
4
8
15
7
2
1
0

P1
P1
P1

K2
N1

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9

Question

1449/2(GMP)
Sub
Mark
Mark

Solution and Mark Scheme
(c) Polygon
Axes drawn in correct directions with uniform scale for
3x43 and 0y15

P1

9 points correctly plotted or the straight line passes through all the
points for 3x43 and 0y15

K2

Note:
1. 8 or 7 points correctly plotted, award K1
2. Do not accept horizontal axis level with midpoints
Smooth and continuous line, passing through all 9 correct points
using given scales for 3x43 and 0y15
(d)

X 100%
7.5%

N1

K1
N1
12

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10

1449/2(GMP)

Frequency
16

14

12

10

8

6

4

2

3

8

13

18

23

28

33

38

43

Time(minutes)

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11

Question

1449/2(GMP)
Sub
Mark
Mark

Solution and Mark Scheme
(a)
H

G

K

J

E

F
K1

Correct shape with rectangles HGEF and line JK
All solid lines.
HG =JK = EF = HE = GF
Measurements correct to ± 0.2 cm (one way) and
all angles at vertices = 90o ± 1o

K1
N1

(b)(i)

15

F

S

G

K

P
A
D
Correct shape SFGPAD and point K with semicircle SF. All solid lines.
PA = AD < SP = FA = GD
FD = GD
Measurements correct to ± 0.2 cm (one way) and P,A ,D= 90o ± 1o

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K1
K1
N2

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12

Question

Solution and Mark Scheme

1449/2(GMP)
Sub
Mark
Mark

(b)(ii)
R

S

R

U

J

K

Q

P

Correct shape with rectangles RSGP and RUJK
Note: Ignore dashed line

K1

dashed line EF and JK.

K1

JG = JP = RE = SF > EJ = FK

K1

Measurements correct to ± 0.2 cm (one way) and
All angles at vertices of rectangles = 90o ± 1o

N2

(a)( 30ºS,152ºW)

P2

180º-28º or 152º W/B or 152º
(b) 180º ÷ 5 X 3
108º - 28º

/b.n

(d) Maria = 180 X 60 X cos 30

1449/2(GMP) ©

K1

N1

(c) (180 – 30 – 30) X 60
7200

(P1)

(K1)

80W/B

16

12

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K1
N1
K1

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13

Question

Solution and Mark Scheme

Sub
Mark
Mark
K1

or

K1

Shirley = (30 + 30) X 60
or

1449/2(GMP)

(7.2 hours)

Shirley will reach her destination first.

K1

N2
12

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