student's copy module 6

8/6/2019 Student's Copy Module 6

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PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI

MATHEMATICS

FORM 3

MODULE 6

PPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMIPPSMI

ALGEBRAIC EXPRESSIONS III

&

ALGEBRAIC FORMULAE

1MINISTRY OF EDUCATION MALAYSIA


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MODULE 1: ALGEBRAIC EXPRESSIONS III &ALGEBRAIC FORMULAE

Arahan:

1. Modul ini mengandungitiga puluh lima soalan. Semua soalan adalah dalam

bahasa Inggeris.

2. Modul merangkumitujuh 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 objektifdisediakan. Murid juga perlu memastikan maklumat konstruk, nombor soalandan jumlah soalan seperti yang dibaca oleh guru di dalam ruangan disediakandalam kertas jawapan objektif sebelum ujian.

4. Bagisoalan objektif, anda perlu menandakan jawapan dengan menghitamkan

pilihan jawapan pada pilihan jawapanA , B , Catau D pada kertas jawapanobjektif.

Contoh:

Antara berikut, yang manakah haiwan?

A. Pokok B. Kambing C. Kereta D. Pen

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

6. Jawab semua soalan.

Modul ini mengandungi13 halaman bercetak

2

DA B C E


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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+

Cy

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


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4 The highest common factor of several algebraic terms is the highest factor among all thecommon 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 ofb

xand

b

yis

b

yx+, what is the sum of

9

6and

9

1?

A18

7

B9

7

C9

5

D81

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 .

D A value that is the same in all situations.

4


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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 isknown as the

A constant

B equation

C subject

D object

5


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

AE

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 ( ) 222 baba =

B ( ) 222 2 bababa ++=+

C ( ) 222

2 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


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

1bahA += .

Which of the following is true?

A h is the length ofPS

B h is the length ofQR

C a is the length ofPS

D b is the length ofQR

16 A rectangle is rcm long, s cm wide and has an area ofPcm2. Express Pin terms ofrand s.

A rsP=

Bs

rP=

C rsP 2=

D2)(rsP=

17 )2( tsr can be expressed as

A rtrs

B trs 2

C rtrs 2

D ts 2

Q

RS

P

7


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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++

D2

1832 qpqp +

20q

p

3 =2q

p2

Aq

p

3

p

q

2

2

Bqp3

232qp

Cp

q3 22

q

p

Dq

p

3 22

q

p

8


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21 Simplifyfe

fee2

23

30

205 +

A3

25 +e

B3

253+e

Cf

fe

6

4+

Df

fe

6

20+

22 =

xyx

32

Axy

y 32

Bxy

yx 32

Cyx

y2

32

Dyx

xy2

32

23 Given rA

pq=

3, expressA in terms ofp, q and r.

Ar

pqA

3=

Br

pqA

23

=

C 29

r

pqA =

D2

22

9rqpA =

9


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24 Given that 5=x and2

1=y , hence xyx 23 2 =

A 25

B 55C 70

D 85

25 Simplify abba 3)2( 2 +

A 22 4baba +

B abba 34 22 ++

C22

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


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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. Studentschoose the correct answer.

31

A nmp 2

B npmp 2

C mmp 2

D npm 2

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32

A nmn ( )

B )( mnnm

C )(1 nmn

D )( mnmn

33

Am5

5

Bm

1

C 225

5

m

Dm

5

12


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34

A pqrE=

B r)p(qE +=

C pqE 2

1=

D r)p(qE +=2

1

35

A 900

B 300

C 90

D 60

END OF QUESTION PAPER

r

p

q

13


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student's copy module 6

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