PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI
MATHEMATICS
FORM 3
MODULE 1
PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI
LINES AND ANGLES II
MINISTRY OF EDUCATION MALAYSIA
2
MODULE 1: LINES AND ANGLES II Arahan:
1. Modul ini mengandungi tiga puluh lima soalan. Semua soalan adalah dalam
bahasa Inggeris.
2. Modul merangkumi tujuh konstruk yang diuji
K1 - Memahami soalan dalam bahasa Inggeris K3 - Memahami istilah matematik dalam bahasa Inggeris K5 - Menguasai konstruk pengetahuan K6 - Menguasai konstruk kefahaman K7 - Menguasai konstruk kemahiran K8 - Mengungkapkan idea/informasi dalam bahasa Inggeris K10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris
3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektif disediakan. Murid juga perlu memastikan maklumat konstruk, nombor soalan dan jumlah soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalam kertas jawapan objektif sebelum ujian.
4. Bagi soalan objektif, anda perlu menandakan jawapan dengan menghitamkan
pilihan jawapan pada pilihan jawapan A , B , C atau D pada kertas jawapan objektif.
Contoh:
Antara berikut, yang manakah haiwan?
A. Pokok B. Kambing C. Kereta D. Pen
5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan
yang disediakan oleh guru.
6. Jawab semua soalan.
Modul ini mengandungi 20 halaman bercetak
D A B C E
3
1 Two lines that do not meet, even when the lines are extended are known as parallel
lines. Which of the following shows a pair of parallel lines?
A B
C D
2 Transversals are lines that intersect parallel lines. Which of the following diagram shows a transversal?
A
B
C D
4
3 In the diagram below, ∠UQS and ∠ VRP are alternate angles.
Name the alternate angle to ∠ WRP.
A ∠WRS
B ∠VRP
C ∠ TQS
D ∠UQP
4 In the diagram RS and TU are straight lines. f and g are a pair of interior angles. Which of the following is another pair of interior angles?
A f and j
B g and i
C j and l
D f and k
U
SQ
V
W
T
P R
S R h
T U
f g e
j i kl
5
5 In the diagram, m and r are corresponding angles. Which of the following are corresponding angles?
A n and y
B q and y
C x and y
D p and q
6 Which of the following is a transversal?
A PQ
B RS
C TU
D TS
T
P Q
SR
U
m n
q p
s r
x y
6
7 Based on the diagram, p and q are
A corresponding angles
B vertically opposite angles
C alternate angles
D interior angles
8 Two straight lines that do not meet are called
A perpendicular lines
B parallel lines
C intersecting lines
D transversals
p
q
7
9 In the diagram, PQ, RS and AD are straight lines. ∠DBQ and ∠ ACS are known as
A corresponding angles
B reflex angles
C interior angles
D acute angles
D
P Q
R S
A
C
B
8
10 Which of the following is a pair of alternate angles? A C D B 11 In the diagram, PQ, RS, and TU are transversals to the parallel line AB and CD.
What is the value of x?
A 93°
B 90°
C 87°
D 67°
x
y
x
y
x
y
y
x
T P
S
A
Q
R
U
B
D C
87°
x
67°
93°
9
12 In the diagram, PQ is a straight line. Which of the following is a pair of interior angles?
A w and z
B x and y
C w and x
D y and z 13 In the diagram, JK is parallel to ML. RS and TU are straight lines. Which of the angle is equal to a ?
A w
B x
C y
D z
y
w
x
z
Q
P
R T
K
L
U S
M
J w x
y
z
a
10
14 Which two lines are parallel?
A PQ and VW
B PQ and RS
C RS and TU
D TU and VW
15 Given that x = y, which of the following is false. A C D B
100° 110° 115° 100°
Q S U W
P R T V
x
y
x
y
y
x x
y
11
16 In the diagram, PQ is a straight line. Which line is parallel to RS? 17 In the diagram PQ is parallel to RS and JK is parallel to LM. Which of the angles labelled I, II, III and IV are equal to x?
A I and II only
B I and III only
C I, II and III only
D I, II, III and IV
80°
60°
120°
80°
P
R
B S
C A
120°
D
Q
R IV
III
I
II x
K M
LJ
P Q
S
12
18 EF, GH, IJ, KL and MN are straight lines. Which of the following has the same value as x + y?
A q + u
B u + w
C p + r
D p + u
19 The diagram shows trapezium EFGH. Which of the following is true?
A a=b
B b=c
C a=d
D b=d
u
vw
y
r q
p x
J
H
F
E
I
L
K
M
N
G
d
cb
a
E F
GH
13
20 In the diagram, HIJK is a straight line. Which of the following is the correct step to find the value of x?
A 180° - 55°
B 112° - 55°
C 112° - 68°
D 68° - 55°
21 In the diagram, JK and JL are straight lines. Find the value of x.
A 45° C 70°
B 55° D 80°
55° x
112°68°
H
I
JK
x° 100°
55°
J
K
L
14
22 In the diagram, PQRS is a straight line. Find the value of x.
A 52° C 64°
B 58° D 70° 23 In the diagram, MN and ST are straight lines. Find the value of p + q + r.
A 300° C 360°
B 340° D 400°
P 128°
58° x°
Q R S
N
T
120° p
r q
140°
M
S
15
24 The line PQRS in the diagram is a straight line. Find the value of x.
A 10° C 37°
B 27° D 63°
25 In the diagram, WXY is a straight line.
Find the value of b.
A 55° C 115°
B 60° D 120°
x 27°
37° 153°
Q
P
R
S
115° 125°
b
W Y X
16
All questions from number 26 to number 30 must be answered in words. 26 What are parallel lines? 27 Describe the alternate angles shown in the diagram. 28 Describe in words how to find the value of x.
a
b
70°
x
17
29 Make two true statements based on the diagram given.
30 State any two properties of the angles shown in the diagram.
c
a
d
b
60°
120° P
Q S R M N
LO K
20° 20°
20°
18
From Question 31 to 35, teacher reads the questions to the students. Students choose the correct answer. 31
A s = t
B t = u
C s= v
D t = v
32
A w
B x
C y
D z
vu
t s
P
Q
R
S
zx
y
k w
19
33
A QY
B RY
C SY
D TY
34
A 30°
B 60°
C 120°
D 150°
X Y
T
P R Q
S
Z
10° 15°
30° 30° 105°
Y
X
T
R S 30° w
20
35
A 60°
B 120°
C 180°
D 240°
Q
S
P
R
y
x
120°
16 17
18
19
20
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
21 22
23
24
25
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
26 27
28
29
30
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK
GUNAKAN PENSIL 2B ATAU BB SAHAJA. TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG. PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH
SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH
KEMENTERIAN PELAJARAN MALAYSIAKERTAS JAWAPAN OBJEKTIF
Ujian Diagnostik
5152
53
54
55
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
5657
58
59
60
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
4647
48
49
50
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
4142
43
44
45
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
31 32
33
34
35
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
36 37
38
39
40
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
1 2
3
4
5
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
6 7
8
9
10
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
11 12
13
14
15
A B C D E
A B C D E
A B C D E
A B C D E
A B C D E
Konstruk No. Soalan Jumlah Soalan
Bilangan Soalan Gagal Dijawab
Kegunaan Guru
K1
K3
K5
K6
K7
K8
K10
1-5
6-10
11-15
16-20
21-25
26-30
31-35
5
5
5
5
5
5
5
1
9
2
3
10
4
5
6
7
8
Nama Pelajar:
Nama Sekolah: Modul: 1