07_jpnt_math_f4_modul3

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2007 Hak Cipta JPNT 1

PROGRAM BIMBINGAN EMaS 2007

JABATAN PELAJARAN TERENGGANU

MATHEMATICS

FORM 4

MODULE 3

TOPICS:

OBJECTIVE QUESTIONS

ALGEBRAIC FRACTIONS

POLYGONS

THE STRAIGHT LINE

SUBJECTIVES QUESTIONS

SETS

THE STRAIGHT LINE

PANEL MEMBERS:

1. PN. HJH ESAH BT DAUD

( SMK SERI BUDIMAN, K.TERENGGANU )

2. EN. MOHD ANUWA B HAMZAH

(SMK SULTAN ISMAIL, KEMAMAN )3. EN. SHAFIE B YAACOB

( SMK NASIRUDDIN SHAH, BESUT )4. EN. NIK KAMARUZAMAN NIK MUSA

( SMK SERI BESUT, BESUT ). TN. HJ DIN B DOLLAH


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MODUL BIMBINGAN EMAS

MATHEMATICS ( FORM 4)

MODULE 3PAPER 1

1 Express2

4

p

p p as a single

fraction in its simplest form.

A11 4

4

p

p

B5 4

4

p

p

C11 4

4

p

p

D5 4

4

p

p

2 Express1 2

5

p p

p p

as a single


A4 9

5

p

p

B6 9

5

p

p

C2 9

5

p

p

D 6 95

pp

3 Express6

2

m m

m

as a single


A3

2

B12 3

2

C12 3

2

D6 3

4 Express

25 2

4 12

p p

p as a single


A1

6

p

p

B

24 2

6

p

p

C

22 1

6

p

p

D

2

2 16

pp

JABATAN PELAJARAN NEGERI TERENGGANU


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MATHEMATICS F4 EMaS 07 / MODULE 3


5 Express2

3 2

2 3m as a single


A4

6

m

B2

11 4

6

m

m

C2 5

6

m

m

D2

11 4

6

m

6 In the diagram below, PQRSTis a

regular pentagon and SUVWXY is a

regular hexagon.

The value of x is

A 18

B 33

C 48

D 60

7 In the diagram below, PQRSTU is a

regular hexagon.

The value of x is

A 30o

B 40o

C 50o

D 60o

8 In the diagram below, ABCDE is a

regular pentagon.

The value of x + y is

A 134

B 144

C 154

D 180

15

Q

P

C

Y

R S

T

U V

Wxo

X

x

PQ

R

S T

U

x

yE

D

C

BA


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9 In the diagram below , PQRSTU is a

regular hexagon. LTS is a straight

line.

Find the value of x.

A 15B 25

C 35

D 60

10 In the diagram below, ABCDEF is aregular hexagon. GAB and GFD is a

straight lines.

The value of x + y is

A 60o

B 90o

C 120o

D 150o

11 Find the x-intercept of the straight line

3y = 4x + 8

A1

2

B1

C 2

D 2

12 The Following Diagram, MNis a

straight line.

What is the gradient ofMN ?

A 2

B1

C2

1

D 2

Ny

M

0 x

9

(- 4,1)

UR

QP

S

x

T

350

L

BA

F

E

D

C

y

Gx


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13 In the Diagram bellow, LM is parallel

toRS.

Find the value of p.

A 1

B 2

C 3

D 4

14 The straight line VW has a

gradient of3

4 and y-intercept

= 12. Find itsx-intercept.

A 16

B 9

C 9

D 16

15 The following diagram shows a

straight line PQ on the Cartesain plane

The gradient of straight line PQ is

A 2

B2

1

C 2

1

D 2

16 The following diagram shows a

straight line PQ.

The equation of the straight line PQ is

A 4x + 3y = 24

B 4x 3y = 24

C 4x 3y = 24

D 4x + 3y = 24

y

x

y = 2x+3

2y = px 5

L

R

S

M


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17 The gradient of the straight line

4x + 2y = 7 is

A 4

B 2

C 2

D 4

18 Given that 2x + 3y = 6 is parallel to

mx + 2y = 6, m =

A4

B3

C3

D4

19 The following diagram shows astraight lines AB.

If the gradient of AB is2

1, find the

value of m.

A 10

B 6

C 20

D 26

20 Which of the following points lies on

the straight lines 91

xy ?

A (4, 11)

B (2, 8)

C (2, 8)

D (4, 11)

A(m, 6)

B(10, -2)


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PAPER 2

1 Venn Diagram in answer space shows the sets P, Q and R. Given that the universal set,

= P Q R . On the diagram in the answer space, shade the region that represents:

(a) ( P R )

(b) ( P Q ) R.

[ 3 marks ]

Answer:

(a) (b)

2 The Venn diagram in the answer space shows sets A, B and C. Given that the universal set

A B C .

On the diagram provided in the answer spaces, shade

(a) the set ( ) 'A B ,

(b) the set ( A B ) ( B C ).

[ 3 marks ]

Answer:

(a) (b)

C

A B

CBA

Q

P R

Q

P R


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3 The Venn diagram shows the elements of set P, Q and R. Given that the universal

set = P Q R .

List the elements of set : -

(a) P Q R

(b) P Q R '

Answer :

(a)

[ 3 marks ]

(b)

4 The Venn diagram in the answer space shows set P, Q danR..

On the diagram provided in the answer spaces, shade

(a) P Q

(b) ( )Q R P

[ 3 marks ]

Answer:

(a)

(b)

P

R

Q

R

QP

.6

.2

R

QP

.3

.7

.5

.8.4


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5 In the following diagram, O is the origin, point K and point P lies on the x-axis and pointNlies on the y-axis. Straight line KL is parallel to straight line NP and straight line MNis

parallel to thex-axis. The equation of straight lineNP is 2 18 0x y

(a) State the equation of the straight line MN.

(b) Find the equation of the straight KL and hence, state the coordinate of the point K.

[5 marks]

M

K

L(4,7)

O

y

xP

N


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6 The following diagram shows, O is the origin. Point D lies on the x-axis and pointB lies

on the y-axis. Point B is the midpoint of ACand the gradient of BD is4

5.

(a) Calculate the value ofk.

(b) Find the equation of the straight BD.

(c) Find the x-intercept of the straight lineBD.

[5 marks]

A(3, k)

xO

B

C(3 , 2)

4

D

y


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7 The following diagram shows, O is the origin. Point B and Clies on the x-axis andpointA andD lies on the y-axis. AB is parallel to CE. The equation of the straight

line BEis y + 2x + 12 = 0

(a) Find the x-intercept of the straight lineAB.

(b) Find the equation of straight line CEand hence, state the coordinates of thepoint D.

[5 marks]

y

x0

A4

CB

D

E (3, 6)

y + 2x + 12 = 0


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8 The following diagram shows, O is the origin. The straight line RT is parallel to they-axis and OQ = OS.

Given the straight line STis 2x y 4 = 0.

Find

(a) the equation of the straight line PR

(b) the coordinates ofR.

[5 marks]

O

S

Tx

R

Q

P

y


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9 The following graph shows, PQ, QTand RS is a straight lines. PQ and RS is parallel.Point R lies on the QTand O is the origin.

Given the straight line STis y = 3x + 12.

Find

(a) the equation of the straight line RS,

(b) the y-intercept of the straight line QRT.[5 marks]

T (12, -1)

S

R (5, 6)

Q

P

O x

y

07_jpnt_math_f4_modul3

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