mathematics paper 2(set1)
TRANSCRIPT
-
8/9/2019 Mathematics Paper 2(SET1)
1/19
MATHEMATICAL FORMULAE RUMUS MATEMATIK
The following formulae may be helpful in answering the questions. The symbols given are
the ones commonly used. Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberiadalah yang biasa digunakan.
RELATIONS PERKAITAN
1 a m a n = a m + n
2 a m a n = a m n
3 (am)n = a m n
4 Distance / jarak = 2122
12 )()( y y x x +
5 Mid Point / Titik Tengah
(x , y) =2
21 x x + ,2
21 y y +
6 Average Speed =
Purata laju =
7 Mean =Min =
8 Pythagoras Theorem / Teorem Pithagoras
c2 = a 2 + b2
jarak yang dilalui masamasa yang diambil
distance travelledtime taken
sum of datanumber of data
hasil tambah nilai databilangan data
-
8/9/2019 Mathematics Paper 2(SET1)
2/19
2 SULIT 50/2
SHAPES AND SPACE BENTUK DAN RUANG
1 Area of rectangle = length width Luas segiempat tepat = panjang lebar
2 Area of triangle =2
1 base height
Luas segitiga =2
1 tapak tinggi
3 Area of parallelogram = base heightLuas segiempat selari = tapak tinggi
4 Area of trapezium =2
1 sum of parallel side height
Luas trapezium =2
1 hasil tambah dus sisi selari tinggi
5 Circumference of circle = d = 2 r Lilitan bulatan = d = 2 j
6 Area of circle = r 2
Luas bulatan = j2
7 Curved surface area of cylinder = 2 rh
Luas permukaan melengkung silinder = 2
jt
8 Surface area of sphere = 4 r 2
Luas permukaan sfera = 4 j2
9 Volume of right prism = cross sectional area length Isipadu prisma tegak = luas keratan rentas panjang
10 Volume of cuboid = length width height Isipadu kuboid = panjang lebar tinggi
11 Volume of cylinder = r 2
h Isipadu silinder = j2t
12 Volume of cone =3
1r 2h
Isipadu kon =3
1 j2t
13 Volume of sphere = 34
r 3
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
-
8/9/2019 Mathematics Paper 2(SET1)
3/19
3 SULIT 50/2
Isipadu sfera =3
4 j3
14 Volume of right pyramid =3
1 base area height
Isipadu pyramid tegak = 31
luas tapak tinggi
15 Sum of interior angles of a polygon = ( n 2) 180 Hasil tambah sudut pedalaman poligon = (n 2) 180
16 =
=
17. =
=
18. Scale factor / Faktor skala, k =
19. Area of image = k 2 area of object Luas imej = k 2 luas objek
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
Area of sector Area of circle
Arc lengthCircumference
Angle subtended at centre360
PA PA
Angle subtended at centre360
Panjang lengkok Lilitan bulatan
Sudut pusat
360
Luas sektor Luas bulatan
Sudut pusat
360
-
8/9/2019 Mathematics Paper 2(SET1)
4/19
4 SULIT 50/2
Answer all questions.Jawab semua soalan For
ExaminersUse
1 Calculate the value of 5
23)
3
2+
5
31( and express the answer as a fraction in
its lowest term .
Hitung nilai bagi 52
3)32
+53
1( dan nyatakan jawapan itu sebagai satu
pecahan dalam bentuk teringkas. [2 marks ]
[2 markah ]Answer / Jawapan:
2 Calculate the value of 501
-103
(+6.0 ) and express the answer as decimal.
Hitung nilai bagi 501
-103
(+6.0 ) dan nyatakan jawapan itu sebagai nombor
perpuluhan.
[2 marks ] [2 markah ]
Answer / Jawapan:
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
2
1
2
2
-
8/9/2019 Mathematics Paper 2(SET1)
5/19
5 SULIT 50/2
3 a) Find the value of 3 000125.0 Cari nlai bagi 3 000125.0
b) Calculate the value of )3-144(+4 23
Kira nlai bagi [3 marks ] [3 markah ]
Answer / Jawapan:
4 a) Solve each of the following equations:Selesaikan tiap-tiap persamaan berikut
a) 2p = -49 5 p
b) 7=5
2+3 x
[3 marks ] [3 markah
Answer / Jawapan:
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
3
4
3
3
-
8/9/2019 Mathematics Paper 2(SET1)
6/19
6 SULIT 50/2
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
-
8/9/2019 Mathematics Paper 2(SET1)
7/19
7 SULIT 50/2
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
5. Diagram 1 in the answer space shows that B is the image of A under areflection in the line MN..
Rajah 1 di ruang jawapan menunjukkan B adalah imej bagi A di bawah satu pantulan pada garis MN.
Draw the line MN Lukiskan garis MN tersebut
[2 marks ]
[2markah
Diagram 1Rajah 1
6. Diagram 2 shows two polygons , P and P , drawn on a grid of equal squareswith sides of 1 unit.
Rajah 2 menunjukkan dua poligon, M dan M , yang dilukis pada grid segiempat sama bersisi 1 unit.
For Examiners
Use
B
A
2
5
3
5
2
8
P
P
Diagram 2 Rajah 2 3
7
2
6
ad A B C D
gredE 3
12
4
12
4
11
3
13
its tsuni
aj 2
17
3
16
For Examiners
Use-4 -3 -2 -1 0 1 2 xy 3
20
6
15
P Q
R
S T
U U
5
18
O 2
19
3
9
2
10
P8 cm
Number of student P RQ 6.0 cmDiagram 6
Rajah 6[6 marks ][6 markah ] R
P
ForEaminersUse
-
8/9/2019 Mathematics Paper 2(SET1)
8/19
8 SULIT 50/2
MARKING SCHEME
ITEM MARKING SCHEME SUB-MARKS
MARKS
1.
3175
15
34
=3
2
K1
N1 2
2.0.6 +(
50
14) or 0.6 + 0.28 or 0.6 +
25
7
= 0.88
K1
N1
2
3.a) 0.05
b) 64 + ( 12 -9) or 64 + 3
67
P1
K1
N1
3
4. a) p = -7
b ) 3x = 33
x = 11
N1
K1
N1
3
5. Line Of reflection MN correct
Note:- i) Dotted line drawn award P1P2
2
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
-
8/9/2019 Mathematics Paper 2(SET1)
9/19
9 SULIT 50/2
6.
Translation ( )2-5
Note:- i) Translation - award P1
ii) ( )2-
5- award P1
iii) Do not accept wrong spelling, or (5, 2), or
( )2-
5
P2
2
7.a) xs( 7x + s)
b) cd( 1 - d)
= cd( 1 d) (1 +d)
N1
K1
N1
3
8.22 6y-3xy+2xy- x
= 22 6y-xy+ x K1
N1
2
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
17 cm
9 cmR
QS
x
Diagram 3 Rajah 3
-
8/9/2019 Mathematics Paper 2(SET1)
10/19
10 SULIT 50/2
9 X 3 or x 6
3 x 6
3, 4, 5, 6 ( list the integers)
K1
K1
N1
3
10PR = 10 ( Theorem pythagoras)
Sin x =3
2K1
N12
11
Note:- i) 3 or 4 points marked correctly award K1ii) Do not accept dotted line, free hand drawing.
iii) Drawing starts from 0 award N 0
K1Uniform
scale
K25 pointsmarked
correctly.
N1Straightline
drawn to join each
point.
4
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
-
8/9/2019 Mathematics Paper 2(SET1)
11/19
11 SULIT 50/2
12. Number of students taking tuition classes
Bilangan pelajar yang mengambil kelas tusyen
Mathematicmatematik
ScienceSains
English Bahasa Inggeris
represent/ mewakili 40 student/pelajar.
3
132-2 2
3
2
1
2
1
4 pq pq
2-223+
21
2 pq22 q
K1
K1
N1
3
14- Construct 30- Extend line 30- Line segment 6.0 cm- Complete triangle PQR - Construct angle bisector
(a) Angle Q = 6.3
K2K1K1K1K1
6
15 Scale correctAll point correctly plottedIf 2 point incorrect award - 1 mark Smooth line.
K1K2K1
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
3
13
-
8/9/2019 Mathematics Paper 2(SET1)
12/19
12 SULIT 50/2
16
N3
17 22 2=18 T m F
m F T 29=
K1 N1 2
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
-
8/9/2019 Mathematics Paper 2(SET1)
13/19
13 SULIT 50/2
18a)Circle with centre O and radius of 2 units
- Award 1 mark if the circle drawn
(i) locus of Y (ii) Locus o f Z
(a) Intersection locus of Y and Z
K1K1
N1
P2
5
19
2
3-=
4=4
64
1=4
3-2
2
n
n
n
K1 N1
2
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
P Q
R
S T
U
Locus Y
Locus Z
-
8/9/2019 Mathematics Paper 2(SET1)
14/19
14 SULIT 50/2
20 (a) Score Frequency0 111 13
2 103 8
Mode = 1 N2
N1
3
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
-
8/9/2019 Mathematics Paper 2(SET1)
15/19
15 SULIT 50/2
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
-
8/9/2019 Mathematics Paper 2(SET1)
16/19
16 SULIT 50/2
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
-
8/9/2019 Mathematics Paper 2(SET1)
17/19
17 SULIT 50/2
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
-
8/9/2019 Mathematics Paper 2(SET1)
18/19
18 SULIT 50/2
50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]
-
8/9/2019 Mathematics Paper 2(SET1)
19/19
19 SULIT 50/2
COORDINATOR
ANUAR ISMAIL
PENOLONG PEGAWAI PELAJARAN DAERAHUNIT PENGURUSAN AKADEMIK
PANEL MEMBERS
1. Raymon Matuha SMK Motungung, Kudat2. Lezabit @ Jubi Dusin SMK Abdul Rahim, Kudat3. Nadeha Iskandar SMK Kudat II, Kudat
50/2 2009 PPD Kudat SULIT