Maths SPM Paper 2
-
Upload
limsiewthiang -
Category
Documents
-
view
135 -
download
7
description
Transcript of Maths SPM Paper 2
SULIT 1449/2(GMP)1449/2 Mathematics (P)Kertas 2 PeraturanPemarkahan2011
PERCUBAAN SPM 2011PAHANG D.MAKMUR
MATHEMATICS
Kertas 2
PERATURAN PEMARKAHAN
UNTUK KEGUNAAN GURU MATA PELAJARAN SAHAJA
Peraturan pemarkahan ini mengandungi 15 halaman bercetak [Lihat sebelah
1449/2(GMP) © 2011 Hak Cipta MPSM Pahang
1 1449/2(GMP)
Question Solution and Mark Scheme Marks
1 (a)
(b)
Note:
' correctly shaded, award K1
K1
K2
3
1449/2(GMP) © 2010 Hak Cipta JUJ Pahang
P Q R
P Q R
P Q R
3 1449/2(GMP)
Question Solution and Mark Scheme Marks
2
3
4
+ =1232
h = 10
TPQ or QPT
Tan = or equivalent
56 .31 o or 56o 19
(a) (i) and (ii) or
(b) (i) If 3p > 12 , then p > 4 (ii) If p > 4 , then 3p > 12
(c) 2n3 – 3 where n = 3, 4, 5, 6, …
Note :
2n3 – 3 only 2n3 – 3 n = 3, 4, 5, ….. award K12n3 - 3 n= 1,2,3,4 ,…
K1
K1
K1
N1
P1
K1
N1
P1P1
P1P1
K1N1
4
3
6
1449/2 © 2011 Hak Cipta MPSM Pahang 4
1449/2
Question Solution and Mark Scheme Marks
5
6 (a)
(b)
or or equivalent
Note Attempt to equate the cooficence one the unknowns, award K1
or or equivalent
OR
or equivalent
(K2)
Note:
as final answer, award N1
or or equivalent
or equivalent
K1
K1
N1
N1
P1
P1K1
N1
K1
N1
4
6
1449/2(GMP) © 2011 Hak Cipta MPSM Pahang 5 1449/2
Question Solution and Mark Scheme Marks
7
8
or equivalent
OR
K1
or 1.5
Note:
1. Accept without “ = 0”.
2. Accept three terms on the same side, in any order.
3
4. Accept answer from three correct term without factorisation for Kk2.
p = – 11
q = 1
Note:
or award P1
K1
K1
N1
N1
P2
P1
P1
4
9 (a)
(b)
or
Note:
1 . Do not accept or
.
2 . as final answer, award N1 .
3 . Do not accept solutions solved not using matrix method.
or
+
93.33 cm2
or
+ + ( 14 + 14 +
14+14)
85.33 cm
Note: 1 . Accept for K mark. 2. Correct answer from incomplete working, award Kk2
K1
N1N1
K1
K1
N1
K1
K1
N1
6
[Lihat sebelah1449/2 © 2011 Hak Cipta MPSM Pahang 7 1449/2
6 1449/2
1449/2 © 2011 Hak Cipta MPSM Pahang
Question Solution and Mark Scheme Marks
10(a)
(b)
(c)
11(a)
(b)
{ MA, MT, MH, MS,AM, AT, AH, AS, TM, TA, TH, TS, HM, HA, HT, HS, SM, SA, ST, SH } Note : Two wrong listing award P1
{ AM, AT, AH, AS }
=
{ MT, MH, MS, TM, TH, TS, AM, AT, AH, AS, HM, HT, HS, SM, ST, SH }
= or
=
Note:
or award K1
P2
K1
N1
K1
N1
K1
N1
K2
N1
6
5
1449/2 © 2011 Hak Cipta MPSM Pahang
8 1449/2
Question Solution and Mark Scheme Marks
12(a) (i)
(ii)
(iii)
(b)(i)(a)
(b)
(ii)
(7, 7 ) (2, 8)
(9, 4)
Note: point (9, 4) marked or ((3 , 0) seen or (3, 0) marked , award P1
V : Reflection in the line x = 2 Note:
1. P1 : reflection
W : Enlargement centre A or (1, 1) with scale factor 2 Note:
1. P2: Enlargement centre N or Enlargement scale
factor
2. P1: Enlargement
- 18
= 54
7
1449/2 © 2011 Hak Cipta MPSM Pahang 9 1449/2
Question Solution and Mark Scheme Marks
13(a)
(b)
(c)(i)
(ii)
(d)
6.67
-13.33
Graph
Axes drawn in correct directions uniform scale for and All 7 points and *2 points correctly plotted or the curve passes through these points for and
. A smooth and continuous curve without any straight line and passes through all 9 correct points using the given scale for and . Note: 1. 7 or 8 points correctly plotted, award K1 2. Ignore curve out of range.
Note: 1. Allow P marks if values of x and of y are shown on the graph. 2. Values of x and y obtained by calculation, award P0 Or from wrong graph, award P0
Identify equation or Straight line correctly drawn Values of x :
, Note: 1. Allow N marks if values of x are shown on the graph. 2. Values of x obtained by calculation, award N0
K1
K1
P1
K2
N1
P1
P1
K1
K1
N1N1
2
4
2
4
12
[Lihat sebelah1449/2 © 2011 Hak Cipta MPSM Pahang
10 1449/2
-4 -3 -2
5
10
15
-1
20
1 2 3
y
40
---5
10
-15
-20
11 1449/2
Question Solution and Mark Scheme Marks
14(a)
(b)
(c)
Class interval Frequency Midpoint15 - 19 3 17
20 - 24 7 22
25 – 29 15 27
30 – 34 11 32
35 - 39 7 37
40 - 44 12 42
45 - 49 5 47
Class Interval : (II to VII Frequency : (I to VII)
Midpoint : (I to VII) Note: Allow one mistake in frequency for P1.
25 - 29
Mean =
= 32.67
Refer graph on page
Axes drawn in correct direction, uniform scale for and
* 7 bars correctly drawn
Note: 5 or 6 bars correctly drawn , award K1
P1
P2
P1
P1
K2
N1
P1
K2
N1
4
3
4
1449/2 © 2011 Hak Cipta MPSM Pahang
III
IV
V
II
VI
I
VII
Any correct information from the histogram drawn N1 112
[ Lihat sebelah1449/2 © 2011 Hak Cipta MPSM Pahang SULIT
Graph for Question 14 Graf untuk Soalan 14
1449/2 © 2011 Hak Cipta MPSM Pahang
Money spent17 22 27 32 37 42 47
2
4
6
8
14
10
12
16
frequency
[Lihat sebelah13 1449/2
Question Solution and Mark Scheme Marks
15(a)
Correct shape with rectangle PQRT and semicircle RST . All solid lines.
PQ < QR Measurements correct to ± 0.2 cm (one way) and P, Q , = 90o ± 1o
K1
K1
N1 3
P Q
RT
S
Question Solution and mark scheme marks
15(b)(i)
(ii)
Correct shape with rectangles APED and PQVQ All solid lines. AP = PQ < QV . EV < UV Measurements correct to ± 0.2 cm (one way) and All angles at vertices of rectangles = 90o ± 1o
K1
K1
N2 4
1449/2 © 2011 Hak Cipta MPSM Pahang
14 1449/2
A P Q
D E
U V
QR
WV
S
X
E F
E F
16
(b)
(c)
(d)(i)
(ii)
Correct shape with rectangles QRWV and RSXW All solid lines.( Ignore PE and EF) Correct trapezium PTFE with PE and EF dashed line
QR >QV >RS , RF =FW
Measurements correct to ± 0.2 cm (one way) and All angles at vertices of rectangles = 90o ± 1o
25o E
Note: 25o or , award P1
Location of Z ( 60o S, 25o E )
(180 – 60 - 60) × 60 3600 nm
Distance =
= 3900 nm
3900 =
Longitude P =
=
K1
K1
K1
N2
P2
P1
N1N1
K1
K1
K1
N1
K1
K1N1
5
12
2
3
2
5
12
X
Z
END OF MARK SCHEME
15 1449/2
1449/2 © 2011 Hak Cipta MPSM Pahang