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MATHEMATICS

FORM 3

MODULE 2

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POLYGONS II

MINISTRY OF EDUCATION MALAYSIA

2

MODULE 2: POLYGONS II Arahan:

1. Modul ini mengandungi tiga puluh enam 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 18 halaman bercetak

D A B C E

3

1 In a regular polygon, all sides are of equal length and all interior angles are of

equal size. Which of the following is not a regular polygon?

A

C

B

D

2 In a regular polygon, the number of axes of symmetry is equal to the number of

sides. The diagram shows a regular hexagon.

How many axes of symmetry are there in a regular hexagon? A 2

B 4

C 6

D 12

4

3 Angles that are inside a polygon are known as interior angles. The diagram

shows a decagon.

Which of the following is an interior angle ? A w

B x

C y

D z

4 A pentagon has five sides. Which of the following is a pentagon?

A

C

B

D

w

x

y

z

5

5 The number of triangles in a polygon is equal to the number of sides of the

polygon minus two.

How many triangles are there in a 12-sided polygon? A 6

B 10

C 12

D 14

6 The diagram shows a quadrilateral.

p, q, r and s are called A interior angles

B exterior angles

C complementary angles

D supplementary angles

q

p

r

s

6

7 A two dimensional shape that has equal length and equal interior angles is

known as a

A cuboid

B rhombus

C regular polygon

D irregular polygon

8 A line that divides a shape into two identical parts which are the mirror image of

each other is known as A axis of symmetry

B y-axis

C x-axis

D diagonal

9 PQRST is a pentagon and RU is a straight line.

x and y are A supplementary angles

B complementary angles

C exterior angles

D interior angles

U S R y x

P

T Q

7

10 The diagram shows an equilateral triangle PQR. ∠PQR, ∠QRP and ∠RPQ are called

A reflex angles

B interior angles

C supplementary angles

D complementary angles

11 Which of the following is a regular polygon?

A B

Q

R P

C

D

8

12 The number of triangles that can be formed in a polygon with n sides is

A n

B n - 1

C n + 2

D n - 2

13 The sum of exterior angles of a polygon is

A 180°

B 360°

C 540°

D 720°

14 Which of the following is an interior angle?

A p C r

B q D s

15 How many sides are there in a nonagon ?

A 7

B 8

C 9

D 10

q p

s

r

9

16 Which of the following is the correct step to find the sum of the interior angles of

an octagon ?

A 3 × 180°

B 4 × 180°

C 5 × 180°

D 6 × 180°

17 PQRSTU is a regular hexagon.

The value of x can be determined by

A 4

360

B 6

360

C 4

180

D 6

180

x

U T

S

RQ

P

10

18 The sum of interior angles of a heptagon is

A 7 x 180°

B 6 x 180°

C 5 x 180°

D 4 x 180° 19 In the diagram , EFGHI is a pentagon.

Which of the following statements is false ?

A p + q = 180°

B q + t = 180°

C p = t

D s + t = 180°

s

r

t

q p

E F

G

H I

11

20 PQRST is a regular pentagon.

Which of the following calculation is used to find the value of x ?

A 3

3602)(5 °×−

B 5

3602)(5 °×−

C 3

1802)(5 °×−

D 5

1802)(5 °×−

Q

R

S T

P

x

12

21 The diagram shows an irregular hexagon. Find the value of x

A 60°

B 65°

C 70°

D 75°

22 The diagram shows a combination of two regular polygons. Find the value of p.

A 108°

B 120°

C 132°

D 228°

70°

65°

35° x

40°

80°

p

13

23 The diagram shows part of a regular polygon. Find the number of sides of the polygon.

A 6

B 10

C 12

D 14

24 In the diagram, RSTUVW is a hexagon. Find the value of x.

A 120°

B 130°

C 154°

D 168°

150°

100°

68°

230°

168°

x°

V

T

U

S

R

W

14

25 In the diagram EFGHIJ is a polygon. Find the value of x + y.

A 200°

B 145°

C 115°

D 110°

All questions from number 26 to number 30 must be answered in words. 26 What is a regular polygon?

Answer:

E J

135° 70°

x

45° y

F

G

H

I

15

27 Describe how to find the number of sides of a regular polygon if the exterior

angle is x°.

Answer : 28 Explain how to draw a regular pentagon. Answer : 29 Explain how to identify the interior and exterior angles of a polygon.

Answer :

30 Describe the relationship between the number of sides, n of a regular polygon

and the number of triangles that can be formed in the polygon.

Answer :

16

31 Explain how to find the axis of symmetry of the polygon shown below.

Answer :

From Question 32 – 36, the teacher reads the questions to the students. Students choose the correct answer. 32

A 36°

B 72°

C 108°

D 144°

x

Q

R S

T

P

17

33

A 30°

B 45°

C 60°

D 120°

34

A 4

B 6

C 8

D 10

S

R

Q P

T

O U •

18

35

A Hexagon

B Heptagon

C Octagon

D Nonagon

36

A ( 6 – 2 ) x 180°

B ( 6 + 2 ) x 180°

C ( 6 – 2 ) ÷180°

D ( 6 + 2 ) ÷ 180°

END OF QUESTION PAPER

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16 17

18

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A B C D E

A B C D E

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A B C D E

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28

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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

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60

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4647

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4142

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44

45

A B C D E

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31 32

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35

A B C D E

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36 37

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1 2

3

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5

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A B C D E

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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

26-31

32-36

5

5

5

5

5

6

5

1

9

2

3

10

4

5

6

7

8

Nama Pelajar:

Nama Sekolah: Modul: 2