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MATHEMATICS

FORM 3

MODULE 6PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI

ALGEBRAIC EXPRESSIONS III&

ALGEBRAIC FORMULAE

1MINISTRY OF EDUCATION MALAYSIA

MODULE 1: ALGEBRAIC EXPRESSIONS III & ALGEBRAIC FORMULAE

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 InggerisK3 - Memahami istilah matematik dalam bahasa InggerisK5 - Menguasai konstruk pengetahuanK6 - Menguasai konstruk kefahamanK7 - Menguasai konstruk kemahiranK8 - Mengungkapkan idea/informasi dalam bahasa InggerisK10 - 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 13 halaman bercetak

2

DA B C E

1 The area of a rectangle is given by the product of its length and breadth.

What is the area of the rectangle?

A xy

B yx +

C y

x

D yx −

2 The factors of ))(( yxyx −+ are )( yx + and )( yx − .What are the factors of )( cba + ?

A a and )( cb +

B )( ba + and )( ba −

C ab and c

D ab and ac

3 2)( ba − can be written as ))(( baba −− .Which of the following is equal to 2)( nm − ?

A ))(( nmnm −−

B ))(( nmnm ++

C 22 nm −

D nm 22 −

yx

x

3

4 The highest common factor of several algebraic terms is the highest factor among all the common factors. The common factors of bc2 and ab4 are b1,2, and b2 .What is the highest common factor of bc2 and ab4 ?

A 1

B 2

C b

D 2b

5 If the sum of b

x and

b

y is

b

yx +, what is the sum of

9

6 and

9

1?

A 18

7

B 9

7

C 9

5

D 81

6

6 What is a variable?

A A value that is not fixed.

B A value that does not change.

C A value that is greater than π .

D A value that is the same in all situations.

4

7 Which of the following is a constant?

A Total number of tourists who visit Malaysia every month.

B Number of books sold in a bookshop every week.

C Blood pressure of a football player.

D Total number of sides of a triangle.

8 An equation which combines variables with an equal sign is a

A value

B formula

C statement

D operations

9 The reverse process of expansion is

A subtraction

B multiplication

C factorization

D simplification

10 A single linear variable which is expressed in terms of other variables in a formula is known as the

A constant

B equation

C subject

D object

5

11 In which of the following, is E the subject of the formula?

A E

LE

5=

B bhE =2

C 2mcE =

D asuE 222 +=

12 2)( nm + can be expressed as

A 2nm +

B )2( nm +

C 22 nm +

D ))(( nmnm ++

13 Which of the following is true?

A ( ) 222baba −− =

B ( ) 2222 bababa ++=+

C ( ) 2222 bababa −−=−

D ( )( ) 22 2 babababa +−=−+

14 Which of the following is a variable?

A Total number of days in August.

B The number of hours in a day.

C Total number of sides of a square.

D Number of students in a school bus every day.

6

15 The area, A of trapezium PQRS is given by the formula )(2

1bahA += .

Which of the following is true?

A h is the length of PS

B h is the length of QR

C a is the length of PS

D b is the length of QR

16 A rectangle is r cm long, s cm wide and has an area of P cm2. Express P in terms of r and s.

A rsP =

B s

rP =

C rsP 2=

D 2)(rsP =

17 )2( tsr − can be expressed as

A rtrs −

B trs 2−

C rtrs 2−

D ts 2−

Q

RS

P

7

18 Which of the following is not true for the expression qrpq 44 + .

A ( )rpq +4

B ( )qrpq +4

C ( )rqp 44 +

D )4(4 rpq +

19 =−+ )6)(3(2 qpqp

A 22 183122 qpqpqp −+−

B qppqp 6122 2 −+−

C qpqp 632 −++

D 21832 qpqp −+

20 q

p

3÷ =

2q

p2

A q

p

3×

p

q

2

2

B q

p

3× 23

2

q

p

C p

q3× 2

2

q

p

D q

p

3× 2

2

q

p

8

21 Simplify fe

fee2

23

30

205 +

A 3

25 +e

B 3

25 3 +e

C f

fe

6

4+

D f

fe

6

20+

22 =−xyx

32

A xy

y 32 −

B xy

yx 32 −

C yx

y2

32 −

D yx

xy2

32 −

23 Given rA

pq=

3, express A in terms of p, q and r.

A r

pqA

3=

B r

pqA

23=

C 2

9

r

pqA =

D 2

229

r

qpA =

9

24 Given that 5=x and 2

1=y , hence xyx 23 2 − =

A 25

B 55

C 70

D 85

25 Simplify abba 3)2( 2 +−

A 22 4baba +−

B abba 34 22 ++

C 22 4baba +− 7

D 22 4baba ++

All questions from number 26 to number 30 must be answered in words.

26 Explain how to find the common factors for several algebraic terms.

Answer:

27 Explain how to expand the expression )( cba + .

Answer:

10

28 Explain how to simplify an algebraic fraction.

Answer:

29 Explain how two algebraic fractions are added.

Answer:

30 What is an algebraic formula?

Answer:

From Question 31 – 35, the teacher reads the questions to the students. Students choose the correct answer.

31

A nmp −2

B npmp −2

C mmp −2

D npm −2

11

32

A nmn −( )

B )( mnnm −

C )(1 nmn −

D )( mnmn −

33

A m5

5

B m

1

C 225

5

m

D m

5

12

34

A pqrE =

B r)p(qE +=

C pqE2

1=

D r)p(qE +=2

1

35

A 900

B 300

C 90

D 60

END OF QUESTION PAPER

r

p

q

13

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

51152

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

56

57

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

46

47

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

41142

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 SoalanGagal Dijawab

Kegunaan Guru

K1

K3

K5

K6

K7

K8

K10K10

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: 6