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Additional Mathematics
August 2018
PEPERIKSAAN PERCUBAAN SPM
TAHUN 2018
JABATAN PENDIDIKAN NEGERI KEDAH MAJLIS PENGETUA SEKOLAH MALAYSIA ( KEDAH )
ADDITIONAL MATHEMATICS
Paper 2
( MODULE 1 )
.
MARKING SCHEME
ADDITIONAL MATHEMATICS TRIAL EXAMINATION AUGUST 2018
MODULE 1 ( PAPER 2 )
N0. SOLUTION MARKS
1
(90 45) (90 2 )( ) x y 3300
When
= 15
(abaikan)
= 50
50
15
AD AB
P1
P1
P1
K1 Eliminate x or y
K1 Solve quadratic equation
N1
N0. SOLUTION MARKS 2
(a)
(b)
20
13 2
19 5 10 23 5
5
20
15 2
10
30
p
m
p
p
N
Mode = 33 5
P1 3
19 5 , 13 , 5 , 10
Any of thesevalue
K1 formula of m
N1 both p & N
K1 Plot / Correct axes & uniform scale
K1 Correct histogram ( 5 bar )
K1 Find mode
N1
7
0 4.5 14.5 24.5 34.5 44.5 Marks Students
2 4 5 9 10
(b)
SR is parallel to PQ
N0. SOLUTION MARKS 6
(a)
(b)
(c)
y 3 cos 2x
1
2
2
x
f x
x
y
Number of solutions = 2
P1 graph cosine curve
P1 amplitude 3 P1 2 cycle 0 to
2
P1 shifted graph
y
f x
1
P1
y
f x
1
K1 line y x 2
N1 equation y x 2
N1
N0. SOLUTION MARKS
0 001573 0 0001049
0 001678
N0. SOLUTION MARKS
Volume
Volume of metal
(b)
Area of trapezium
Area of the shaded region
8
9
3
35
2
/ 11
/ 11 67
3
3
K1
N1
N0. SOLUTION MARKS 11
(a)
(b)
(c) (i)
(ii)
(iii)
1
x
1 25
1 00 0 80 0 50 0 40 0 201
y 2 78 2 22 1 69 0 96 0 70 0 20
1
1
k
h
y
x
0 3
h
2 48
k
1
1 25
1.30
0 8
0.77
y
y
N1 6 correct values
N1 6 correct values
K1 plot / correct axes & uniform scale
N1 6 points plotted correctly
N1 line of best-fit
P1
N1 for y-intercept
N1 finding gradient
K1
N0. SOLUTION MARKS
Distance=
N0. SOLUTION MARKS sin120 sin 30
N0. SOLUTION MARKS 14
(a)
(b)
(c)
80
4
2
60
x
y
y
x
x
y
At least one straight line is drawn correctly from
inequalities involving x and y.
All the three straight lines are drawn correctly
Region is correctly shaded
35
50
3550
7
10
710
x
y
or
x
y
Draw a straight line in the graph.
X=30
Maximum .number of cake A = 30
N1
N1
N1
N1
N1 N1
K1
K1
K1
N1
10
R
60 80
0
30 7x + 10 y = 710
x + 2y = 60 y = 4x
x y
80
