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MATHEMATICS

FORM 3

MODULE 2

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POLYGONS II

MINISTRY OF EDUCATION MALAYSIA

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. PokokB.KambingC.KeretaD.Pen

ACDE

5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan yang disediakan oleh guru.

6. Jawab semua soalan.

Modul ini mengandungi 18 halaman bercetak

2

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?

AC

BD

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

3

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

w

x

y

z

Which of the following is an interior angle ?

A w

B x

C y

D z

4A pentagon has five sides.

A

Which of the following is a pentagon?

C

BD

4

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

6The diagram shows a quadrilateral.

p

q

s

r

p, q, r and s are called

A interior angles

B exterior angles

C complementary angles

D supplementary angles

5

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

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

P

QT

U

xy

x and y are

A supplementary angles

B complementary angles

C exterior angles

D interior angles

6

10The diagram shows an equilateral triangle PQR.

Q

PR

PQR, QRP and RPQ are called

A reflex angles

B interior angles

C supplementary angles

D complementary angles

11Which of the following is a regular polygon?

AC

BD

7

12The 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

13The sum of exterior angles of a polygon is

A 180

B 360

C 540

D 720

14Which of the following is an interior angle?

pr

q

s

ApCr

BqDs

15How many sides are there in a nonagon ?

A 7

B 8

C 9

D 10

8

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.

QR

P S x

UT

The value of x can be determined by

360

A

4

360B6

180C

4

180D

6

9

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.

EF

p qr

G

ts

IH

Which of the following statements is false ?

A p + q = 180

B q + t = 180

C p = t

D s + t = 180

10

20PQRST is a regular pentagon.

Q x

PR

TS

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

(5 2)360A

3

(5 2)360B

5

(5 2)180C

3

(5 2)180D

5

11

21The diagram shows an irregular hexagon.

70

80

65

40

x

35

Find the value of x

A 60

B 65

C 70

D 75

22The diagram shows a combination of two regular polygons.

p

Find the value of p.

A 108

B 120

C 132

D 228

12

23The diagram shows part of a regular polygon.

150

Find the number of sides of the polygon.

A 6

B 10

C 12

D 14

24In the diagram, RSTUVW is a hexagon.

S

68

RT100230

x U

168WV

Find the value of x.

A 120

B 130

C 154

D 168

13

25In the diagram EFGHIJ is a polygon.

H45

yG

I

135

70

F

x J E

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:

14

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 :

15

31Explain 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

P

QTx

RS

A 36

B 72

C 108

D 144

16

33

PQ

UO R

TS

A 30

B 45

C 60

D 120

34

A 4

B 6

C 8

D 10

17

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

18

KEMENTERIAN PELAJARAN MALAYSIA

KERTAS JAWAPAN OBJEKTIF

Ujian Diagnostik

Nama Pelajar:

Tahun/ Tingkatan :3Mata Pelajaran:MATEMATIK

Nama Sekolah:Modul:2

GUNAKAN PENSIL 2B ATAU BB SAHAJA.

TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG.PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAHSILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH

1 A

2 A

3 A

4 A

5 A

6 A

7 A

8 A

9 A

10 A

11 A

12 A

13 A

14 A

15 A

16 A 17 A 18 A 19 A 20 A

21 A 22 A 23 A 24 A 25 A

26 A 27 A 28 A 29 A 30 A

BCDE31ABCDE46A

BCDE32ABCDE47A

BCDE33ABCDE48A

BCDE34ABCDE49A

BCDE35ABCDE50A

BCDE36ABCDE51A

BCDE37ABCDE52A

BCDE38ABCDE53A

BCDE39ABCDE54A

BCDE40ABCDE55A

BCDE41ABCDE56A

BCDE42ABCDE57A

BCDE43ABCDE58A

BCDE44ABCDE59A

BCDE45ABCDE60A

BCDEKonstrukNo. SoalanJumlahBilangan Soalan

SoalanGagal Dijawab

BCDE

BCDE1K11-55

BCDE2K36-105

BCDE

BCDE3K511-155

BCDE4K616-205

BCDE5K721-255

BCDE

BCDE6K826-316

BCDE7K1032-365

BCDE8

BCDE

BCDE9

BCDE10

BCDE

BCDE

BCDE

BCDE

BCDE

BCDE

BCDE

BCDE

BCDE

BCDE

BCDE

BCDE

BCDE

BCDE

BCDE

Kegunaan Guru

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