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

5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan

yang disediakan oleh guru.

6. Jawab semua soalan.

Modul ini mengandungi 22 halaman bercetak

D A B C E

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.

What is the value of y?

A 20°

B 30°

C 60°

D 120°

y 60°

60°

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?

A C

B D

2x° x°

2x°

x°

q°

2q°

q°

2q°

5

5 The angle subtended at the circumference in a semicircle is 90°. Which of the following angle is 90°?

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

A

B C

D

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 The distance OP is known as

A diameter

B chord

C radius

D arc

O P

7

10 Which of the following is a cyclic quadrilateral?

A C

B D 11 In the diagram, RST is a straight line.

Which is the corresponding interior opposite angle of ∠PST?

A ∠PQR

B ∠QRS

C ∠RSP

D ∠SPQ

Q P

R S

T

8

12 Which of the following shows x = y ?

A C

B D 13 In the diagram, O is the centre of the circle.

What is the value of x?

A 30°

B 60°

C 90°

D 180°

x° y°

O

x°

y° x° y°

x°

O

y°

x°

O

9

14 In the diagram, O is the centre of the circle. Which of the following is a diameter? A RS

B PR

C PQ

D QS

15 The diagram shows a cyclic quadrilateral PQRS.

Which of the following is equal to x ?

A ∠SPQ

B ∠PQR

C ∠QRS

D ∠RSP

x

P Q

R S

S

R

Q

P

• O

10

16 Which of the following shows x = 2y ?

A C

B D 17 In the diagram, PQ = RS . What is the value of x ?

A 15

B 25

C 30

D 50

x

y

x y

y x

x

yO

O

O

O

30°

x°

P

Q

S

R

50°

11

18 In the diagram, arc PNQ = arc RMS. 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.

The value of x is

A 40

B 40 2÷

C 40 × 2

D 180° – 40°

x° 40°

O

P

S

Q

N

R

M

6 cm 10 cm

6.8 cm

4.2 cm

12

20 In the diagram, PQRS is a cyclic quadrilateral.

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. The value of x can be determined by

A x = 120 ÷ 2

B x = 120 × 2

C x = 360 – 60

D x = 360 – 240

Q P

R S

70° 50°

x° y°

120°

x°

O

13

22 In the diagram, PQRS is a circle with centre O. Find the value of x.

A 220

B 140

C 110

D 70 23 In the diagram, O is the centre of the circle. Find the value of z°.

A 20

B 80

C 100

D 200

160°

z°

O

R

S

P

Q x°

110°

• O

14

24 In the diagram, KLMP is a semicircle. Calculate the value of k.

A 15

B 25

C 35

D 70 25 In the diagram, PQRS is a cyclic quadrilateral.

Find the value of ∠QRS.

A 36°

B 72°

C 105°

D 108°

3y°

2y°

P

S Q

R

75°

L

k 55°

N M P

K

110°

15

26 In the following diagram, O is the centre of the circle. 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. Find the value of x.

A 45°

B 50°

C 60°

D 65°

P

R

25°

O

x°Q

130°

x° O

16

28 In the diagram, RST is a straight line. 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. Given the radius of the circle and the length of ON, describe the steps to find the length of chord AB.

O

A

N

B

y

P

Q

S

R

T

40° 60°

17

30 In the diagram, arc AB is equal to arc BC. Explain how to calculate the value of x. 31 In the diagram, O is the centre of the circle. Explain how to find the value of q.

x° y°

C

B

A

B

C p q

O

A

18

32 How do you identify a cyclic quadrilateral? 33 In the diagram, y is equal to 70°. Explain why.

R

Q P

S

y

Q P

RS N M

70°

19

From Question 34 – 38, the teacher reads the questions to the students. Students choose the correct answer. 34

A C

B D

x 40°

x

x x

70°

20

35

A 21°

B 42°

C 84°

D 168°

y x

N

M

O

21

36

A 85°

B 170°

C 180°

D 190° 37

Q

R

P

O

Q P

R S

T

80° 70°

22

A 70°

B 80°

C 100°

D 110° 38

A C

B D

END OF QUESTION PAPER

y

O

120° 120°

y°

120°

y

O y

120°

O

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

11-16

17-21

22-28

29-33

34-38

5

5

5

5

7

5

5

1

9

2

3

10

4

5

6

7

8

Nama Pelajar:

Nama Sekolah: Modul: 3