This document contains a 38-question mathematics assessment on circles for Form 3 students in Malaysia. The test covers topics like diameters, radii, chords, arcs, angles, and cyclic quadrilaterals. It includes both multiple choice and written response questions. The test is administered according to standardized instructions and is meant to evaluate students on several learning constructs related to understanding mathematical terms and concepts in English.

1. PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI
MATHEMATICS
FORM 3
MODULE 3
PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI
CIRCLES II
MINISTRY OF EDUCATION MALAYSIA

2. MODULE 3: CIRCLES II
Arahan:
1. Modul ini mengandungi tiga puluh lapan 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
A B C D E
5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan
yang disediakan oleh guru.
6. Jawab semua soalan.
Modul ini mengandungi 22 halaman bercetak
2

3. 1 A diameter is a straight line that passes through the centre of a circle.
Which of the following diagrams shows a diameter of the circle?
A C
B D
2 All angles subtended at the circumference of a circle by the same arc are equal.
60°
y
60°
What is the value of y?
A 20°
B 30°
C 60°
D 120°
3

4. 3 A radius that is perpendicular to a chord divides the chord into two equal parts.
Which of the following diagram is true about the statement?
A C
B D
4 An angle subtended at the centre by an arc is twice the size of the angle subtended by
the same arc at the circumference.
Which of the following represents the statement?
q°
A C
x°
2x°
2q°
B D
q°
2q°
2x°
x°
4

5. 5 The angle subtended at the circumference in a semicircle is 90°.
Which of the following angle is 90°?
B C
A
D
6 The straight line that joins any two points on the circumference and does not pass
through the centre of a circle is called a
A chord
B radius
C diameter
D circumference
7 Which of the following is an axis of symmetry of a circle?
A Arc
B Chord
C Radius
D Diameter
5

6. 8 A part of the circumference of a circle is called
A an arc
B a chord
C a radius
D a diameter
9 The diagram shows a circle with centre, O
O P
The distance OP is known as
A diameter
B chord
C radius
D arc
6

7. 10 Which of the following is a cyclic quadrilateral?
A C
B D
11 In the diagram, RST is a straight line.
P
Q
T
S
R
Which is the corresponding interior opposite angle of ∠ PST?
∠ PQR
A
∠ QRS
B
∠ RSP
C
∠ SPQ
D
7

8. 12 Which of the following shows x = y ?
y°
A C
x°
y°
O
x° O
B D
x°
y°
y° x°
13 In the diagram, O is the centre of the circle.
x°
O
What is the value of x?
A 30°
B 60°
C 90°
D 180°
8

9. 14 In the diagram, O is the centre of the circle.
R
Q
•
O
P
S
Which of the following is a diameter?
A RS
B PR
C PQ
D QS
15 The diagram shows a cyclic quadrilateral PQRS.
Q
P
R
S
x
Which of the following is equal to x ?
∠ SPQ
A
∠ PQR
B
∠ QRS
C
∠ RSP
D
9

10. 16 Which of the following shows x = 2y ?
x
A O C
y x
O
y
x
B D
O
x
O
y
y
17 In the diagram, PQ = RS .
P
30°
Q
x°
R
50°
S
What is the value of x ?
A 15
B 25
C 30
D 50
10

11. 18 In the diagram, arc PNQ = arc RMS.
P
N
10 cm
6 cm
Q
4.2 cm
S
R
M
6.8 cm
State the length, in cm, of chord RS.
A 4.2
B 6
C 6.8
D 10
19 In the diagram, O is the centre of the circle.
O
x° 40°
The value of x is
A 40
40 ÷ 2
B
40 × 2
C
D 180° – 40°
11

12. 20 In the diagram, PQRS is a cyclic quadrilateral.
P
Q
50°
70°
y°
x°
S
R
Which of the following is true ?
A x = 50°
B y = 50°
C x = 180 – 50°
D y = 180 – 50°
21 In the diagram, O is the centre of the circle.
120°
O
x°
The value of x can be determined by
x = 120 ÷ 2
A
x = 120 × 2
B
C x = 360 – 60
D x = 360 – 240
12

13. 22 In the diagram, PQRS is a circle with centre O.
P
O
•
x°
Q
S 110°
R
Find the value of x.
A 220
B 140
C 110
D 70
23 In the diagram, O is the centre of the circle.
O
160°
z°
Find the value of z°.
A 20
B 80
C 100
D 200
13

14. 24 In the diagram, KLMP is a semicircle.
N
M
P
110°
k
55°
K L
Calculate the value of k.
A 15
B 25
C 35
D 70
25 In the diagram, PQRS is a cyclic quadrilateral.
P
3y°
Q
S 75°
2y°
R
Find the value of ∠ QRS.
A 36°
B 72°
C 105°
D 108°
14

15. 26 In the following diagram, O is the centre of the circle.
130°
O
x°
Find the value of x.
A 100
B 65
C 50
D 25
27 In the following diagram, O is the centre of the circle.
P
25°
O
x°
Q
R
Find the value of x.
A 45°
B 50°
C 60°
D 65°
15

16. 28 In the diagram, RST is a straight line.
Q
40°
P R
60°
y
S
T
Find the value of y.
A 80°
B 100°
C 120°
D 140°
All questions from number 29 to number 33 must be answered in words.
29 The diagram shows a circle with centre O.
A
O
N
B
Given the radius of the circle and the length of ON, describe the steps to find the length
of chord AB.
16

17. 30 In the diagram, arc AB is equal to arc BC.
Explain how to calculate the value of x.
A
x°
B
y°
C
31 In the diagram, O is the centre of the circle. Explain how to find the value of q.
O
C
A p
q
B
17

18. 32 How do you identify a cyclic quadrilateral?
P
Q
S
R
33 In the diagram, y is equal to 70°. Explain why.
P
Q
70°
y
N
R
MS
18

19. From Question 34 – 38, the teacher reads the questions to the students. Students choose
the correct answer.
34
x
40°
A C
x
x x
70°
B D
19

20. 35
y
x
O
M
N
A 21°
B 42°
C 84°
D 168°
20

21. 36
R
O
P
Q
A 85°
B 170°
C 180°
D 190°
37
P
Q
70°
80°
T
S
R
21

22. A 70°
B 80°
C 100°
D 110°
38
A C
y y
O
O
120°
120°
B D y°
O
y120° 120°
END OF QUESTION PAPER
22

23. KEMENTERIAN PELAJARAN MALAYSIA
KERTAS JAWAPAN OBJEKTIF
Ujian Diagnostik
Nama Pelajar:
Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK
Modul: 3
Nama Sekolah:
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
A A A
B C D E B C D E B C D E
1 31 46
A A A
2 32 47
B C D E B C D E B C D E
A A A
B C D E B C D E B C D E
3 33 48
A A A
B C D E B C D E B C D E
4 34 49
A A A
B C D E B C D E B C D E
5 35 50
A A
B C D E B C D E
6 36 51
A B C D E
A A
7 37 52
B C D E B C D E
A B C D E
A A
B C D E B C D E
A
8 38 53
B C D E
A A
B C D E B C D E
A
9 39 54
B C D E
A A
B C D E B C D E
10 40 55
A B C D E
A A
B C D E B C D E
41 56
A B C D E
11
A A
42 57
B C D E B C D E
A
12 B C D E
A A
B C D E B C D E
A 43 58
B C D E
13
A A
B C D E B C D E
A 44 59
B C D E
14
A A
B C D E B C D E
45 60
A B C D E
15
Jumlah Bilangan Soalan
Konstruk No. Soalan Kegunaan Guru
A B C D E
16
Soalan Gagal Dijawab
A
17 B C D E
A K1 1-5 5
B C D E 1
18
A B C D E
19
K3 6-10 5
2
A B C D E
20
K5 11-16 5
3
A B C D E
21
K6 17-21 5
4
A
22 B C D E
A B C D E
23
K7 22-28 7
5
A B C D E
24
A B C D E
25 29-33 5
K8
6
34-38 5
K10
7
A B C D E
26
A
27 B C D E
8
A B C D E
28
A B C D E 9
29
A B C D E
30
10