TIPS PENGARAH JWP MM SPM.ppt

8/9/2019 TIPS PENGARAH JWP MM SPM.ppt

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All correct methodsare accepted including

additional

mathematics method


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Check the answer

before going to thenext questions.


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Show the method.

Underline your answer.


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4/ !"# $%UA& #" '

(/) $%UA& #" * 'State your answer in ) decimal

places.

Unit is ignored


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QUADRATIC EQUATIONREARRANGE TO GENERAL FORM OF

QUADRATIC EQUATION

+) =++ cbxax

Factorise ( ) ( ) +=

State the values of x


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( ) ( )

(,

*

-

+(-*

=

=+

n

nn

+()+*

+-4(*)-0(*

)

))

=+

=++=+

nn

nnnnnn

Solve the quadratic equatio( )nnn )-(.* ) =+

Factors must begiven by using

the wholenumber1

1 1

1


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+()+*

+-4(*)-0(*

)

))

=+

=++=+

nn

nnnnnn

Solve the quadratic equatio

( )nnn )-(.* ) =+

(**+

+(0**.+0 =+

x

nn

1


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+()+*

+-4(*)-0(*

)

))

=+

=++=+

nn

nnnnnn

Solve the quadratic equatio

( )nnn )-(*)

=+

(,*

-

+(0*

-0

=

=+

x

nn

1


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1 2 +, 3 2-+-+

3 2 + , 1 2

-+)

+-+)

= =

=+

xx

x

1

2


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-+


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No Topic Marks

SPM

2006

SPM

2007

SPM

20081 Linear Inequalities 4 3 0

S!M "##$%"##&


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9

3


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12

3

4

!

=

=

-)tan

1

2

1


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6

-

1

2


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MATHEMATICAL REASONING

5))5 =+

Is the following sentence a statement ?

Give your reason.

State"ent Not accepte#yes

A statement.

It is a false statement.

ans$er


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Make a conclusion %& in#uction 'or t(e

nu"%er sequence %elo$

(-)

*-)

--)

+-)

*

)

-

+

=

==

=

*)-+-) = n

n

3 dots

2 MARKS


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-1 marks

2n 1

2n

1 , n = 0 , 1 , 2 , 3 , ..

2n 1 , n = 0 , 1 , 2 , 3 ,

2n 1 , n = 0 , 1 , 2 ,


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Make a conclusion %& #e#uction 'or t(e

state"ent %elo$ $(en n) 3

(-)* =

-) n

1 1


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-)* == pifonlyandifp

*rite t$o i"plication 'ro" t(is

co"poun# state"ent

I' + t(en p) 12!

I' p) 12! + t(en

* =p

* =p2 marks

+ t(en p) 12!

I' p) 12! +

* =p

* =p

no mark


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Pre"ise1 , -ll - are .Pre"ise 2 , / is -

/onclusion , C is 6

7%8S#U has ahexagon


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/o"plete t(e 'ollo$in aru"ent

-4 =xPre"ise1 , I' 4x) 16 + t(en x) 4Pre"ise 2 ,

/onclusion ,4=x

Pre"ise1 , I' - + t(en BPre"ise 2 , - true

/onclusion , 6 true


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/o"plete t(e 'ollo$in aru"ent

Pre"ise1 , I' 4x) 16 + t(en x) 4Pre"ise 2 ,

/onclusion ,

Pre"ise1 , I' - + t(en BPre"ise 2 , - alse

/onclusion ,

6 9alse

4x-4 x


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1

11


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11


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min/.+)+

-kmSPEED =

=


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hkm /--++

+)

+/-++

--+S7$$:A;$8A


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TIME

=!=#=A&S7$$:>9=!A&S7$$:=


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)


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1

-

-)

)= 1

1

1

1


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1

1

1

1

1


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1

1

1

1

1


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*

)4

-+-)

-


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+ )

-*

)-

-

-(

-=m -=n


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+)--

+*5

=+

=+yx

yx

)--

5*

==

yx

yx

=

5

)--

*-

y

x


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=

5)--*-

yx

= 5

---

*)

*0--)0-

-

y

x


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=

5

---

*)

*0--)0-

-

y

x

=

=

=

*+

5*+

*--

55--

*--

yx


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=

=

=

*+

5*+

*--

55--

*--

yx

*,+

== yx


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)

*

,)

*== nm


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-+,-4,+

44

==

==

+=

yx

yx

xy


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centre

centre

*

)ntranslatio


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FREQUENCY POLYGONFREQUENCY POLYGON


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MIDPOINT

F

R

E

Q

U

E

N

C

Y

FREQUENCY POLYGON

MIDPOINT

F

R

E

Q

U

E

N

C

Y

FREQUENCY POLYGON

Full marks

FREQUENCY POLYGON


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MIDPOINT

F

R

E

Q

U

E

N

C

Y

FREQUENCY POLYGON

less mark


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/u"ulatie Full mar


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pper %oun#ar&

/u"ulatie

'requenc&

/u"ulatie


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pper %oun#ar&

/u"ulatie

'requenc&

less mark


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li"it

/u"ulatie

'requenc&o mark

pper %oun#ar&


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Full mark


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'#() ')() )#() ))() $#() $)() *#() *)()

Full mark


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'+

%

')

'$

%

)#

)+

%

))

)$

%

$#

$+

%

$)

$+

%

*#

*+

%

*)

Full mark


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-1 mark

Should have ga!


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'+ % ') '$ % )# )+ % )))$ % $#

$+ % $)$+ % *#

*+ % *)

o ,ar-


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?-

?-

?) !-

Information of the grah


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Information of the grah

Interquartile rane is 20 "inutes

!0 stu#ents took 60 "inutes to co"plete

t(eir co"position

Me#ian is 60 "inutes

"he in#ormation must come #rom the


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2008 FREQUENCY POLYGON

2007 OGIVE

2006 FREQUENCY POLYGON2005 HISTOGRAM

2004 HISTOGRAM2003 OGIVE


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30


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+ -+ $-+ @ 30 E

!0

"


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+ -+ $-+ @ 30 E"

70

TIPS PENGARAH JWP MM SPM.ppt

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