Skema Jawapan k2 (Mock Test Perak)
description
Transcript of Skema Jawapan k2 (Mock Test Perak)
MATHEMATICS PAPER 2
Section A
No. Marking Scheme Marks
1.a)
b)
Note:( QUR ) correctly shaded, award 1 mark.
1
2 3
2x + y = 55 or equivalent or 3x + 2y = 145 or equivalent
3x + 3y = 165 or equivalent
OR
x = 55 – y or equivalent (1)
OR
y
x
=
11(2)−1(3 )
13
12
145
55
(2)
x = 35 y = 20
1
1
1,1 4
P
Q
R
Q
PR
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3. 0762 xx 017 xx
x = -7, x = 14d
111
1
44.
a)
b) tan θ = 13
8
θ = '[email protected] 00
1
1
1 3
5. a)
b)
0 – 2y – 18 = 0
y = − 9Note :Accept answer without working award 2 marks.
m PN = 2
1
(from equation) or m PN = 018
)9(0
= 2
1
7 = 2
1
(4) + c
y = 2
1
x + 5
1
1
1
1
1 5
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U
R
Q
P
S
V
12 cm
16 cm
5 cmθ
2
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6 a)
b)
c)
1
2 × 6 × 18
54
1(9 15) 18
215
14
2
5 or 14.4
14 × t or
1
2 ( t + t – 6 ) 18
13.5
1
1
1
1
1
1 6
7 a)
b)
c)
(i) False(ii) True
Implication 1: If sin θ =0.5, then θ =30°Implication 2 : If θ =30° ,then sin θ = 0.5
3608
or 45°
11
11
1 5
8.a)
b)
n = - 3
Note : 1
(6 ) (3 )−(−5 )(−4 ) * (matrix) seen award 1 mark
( 1 125 105)( x
y )=( 784830)
( xy )= 1
(1 ) (105 )−(1 )(25) ( 105 −1−25 1 )( 78
4830) x = 42 , y = 36
2
1
1
1,1 6
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9
7
22
3 3 7
7
22
3 ¿ 3 3 or 2
1
3
4
7
22
3 3 3
7
22
3 3 7 ─ ( 7
22
3 3 3 + 2
1
3
4
7
22
3 3 3)
56.57 or 7
396
or 56 7
4
1
1
1
1 4
10a)
b)
180 222 5
360 7
or
60 222 2.5
360 7
equivalent
180 22 60 222 5 2 2.5
360 7 360 7
+5 + 2.5 + 2.5 or equivalent
28.33 or
3328
100 or
2833
100
2180 22
5360 7
or
260 222.5
360 7
or equivalent
2180 22
5360 7
+
260 222.5
360 7
18 6
2
or equivalent
18.56 or
1418
25 or
464
25
1
1
1
1
1
1 6
11.a) Outcome of Box Q
Kesudahan Kotak Q
A B C
Out
com
e of
Box
PK
esud
ahan
Kot
ak P 1 (1,B) (1,C)
2 (2,A) (2,B) (2,C)
3 (3,A) (3,B)
4 (4,A) (4,B)
Note:2
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b)
1. Accept 2 mistakes for 1 mark.2. Accept without brackets.
i){(1,B) , (2,B) , (3,B) , (4,B)}
12
4
or equivalent.
ii)
{(1,A) , (1,B) , (1,C) , (2,C) , (3,A) , (3,B) , (3,C) , (4,C)}
12
8
or equivalent.
1
1
1
16
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12 a)
b)
c)
d)
y = 11, y = - 5
Note:
1) if points are correctly marked on the graph2) the curve passes exactly through the points.
Graph :Axes are drawn in the correct direction with uniform scale. in the range −3.5 x 3.5 and 15 y 17.
All 7 points and 2 points* are correctly marked
Smooth curve and continuously in range of − 3.5 x 3.5 with no straight line part and passing through all the correct 9 points.
Note:(i)7 @ 8 points are correctly plotted, award 1 mark
(ii)Other scale used, deduct 1 mark.
(i) 5.4 y 5.5
(ii) 3.3 x 3. 4
Straight line y = 5x 5 correctly drawn and meet the curve.
The equation y = 5x 5 award 1 mark
The value of x : 3.2 x 3.3 0.6 x 0.7
Note:
(i) The value of x obtained by calculation, no markaward.
1,1
1
2
1
1
1
2
11
12
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Section B6
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®JPN PERAK_MOCKTEST 2 2015 SULIT
33 8y x x
y = 5x 5
-15
-20
-4
-10
-5
10
20
5
30
15
25
y
4
x
-3 -2 1 32-1 O
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13(a)(i)
(ii)
(b)(i)
(ii)
(1,7)(2,4) seen/ marked award 1
(-5,-5)(-4,2) seen/ marked award 1
P – Reflection in the line y = -1Q – Enlargement, scale factor = 2, centre (0,-7)
x + 16.5 = 22x3x = 16.5
x = 5.5
2
2
23
2
1 12
14 (a)Class Interval Midpoint Frequency
I 65 - 69 67 2II 70 - 74 72 3III 75 - 79 77 5IV 80 - 84 82 9V 85 - 89 87 7VI 90 - 94 92 3VII 95 - 99 97 1
Class interval : (II to VII) all correct Midpoint : (I to VII) all correct Frequency : (I to VII) all correct
Note : 5 or 6 frequency are correct, award 1 mark
(b)
30
)197()392()787()982()577()372()267(
or 30
2455
81.83 or
581
6 or
491
6
112
2
1
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(c) Histogram Axes drawn in the correct direction with uniform scales. x-axis is labelled by midpoints / class boundaries / class intervals.
All 7 bars are correctly drawn Complete histogram
Note: 5 or 6 bars are correctly drawn, award 1 mark.
(d) Modal Class = 80 – 84Note:
1. Accept any reasonable information.2. Do not accept information without histogram.
11
2
1 12
15 (a)Plan:The shape must be right with the rectangles. All lines must be fully drawn.
2 cm
3 cm
6 cm
Measurement must be accurate to 0.2 cm and all angles at rectangle vertex = 90o 1
Note: Correct shape drawn award 1 mark only
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b) i
b) ii
Elevation X:The shape must be right with the half of a circle. All lines must be fully drawn.
1 cm
2 cm4 cm
1 cm
1 cm3 cm
2 cm
5 cm
Measurement must be accurate to ±0.2 cm and all angles at rectangle vertex = 90o ±1Note: Correct shape drawn award 1 mark only
Elevation Y:The shape must be right with the rectangles. All lines included the dotted lines must be shown completely.
1 cm
1 cm
1 cm
2 cm
6 cm
Note: Correct shape drawn award 1 mark only
4
5
12
16
a)
R (60 S, 160W)Note : 60S or 160 W award 1 mark
1
1
2
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b)
c) i)
ii)
60 60
3600
800 4.5
3600
o60 cos
3600
Note: Using Cos 60º award 1 mark
6060
3600
Cos 20 or 120 20
100W
1
1
1
1
2
1
112
THE END OF MARKING SCHEME
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No 14.
®JPN PERAK_MOCKTEST 2 2015 SULIT
Marks
10
9
67 72 87 9792 8277
0
8
7
3
2
4
6
1
5
Frequency
12