Students' Modul (PMR MATEMATIK PEMULIHAN)

8/12/2019 Students' Modul (PMR MATEMATIK PEMULIHAN)

1/102

ANALYSIS OF PMR QUESTIONS (2001 2006)

(FOR THE CHOOSEN TOPICS)

TOPIC PAPER 1 PAPER 2

01 02 03 04 05 06 01 02 03 04 05 06

1 Directed

Numbers

- 1 - 1 - - - - 1 1

2 Fraction 2 2 1 1 - 1 2 1 1 -

3 Linear equation 1 1 2 - 1 - 1 1 1

4 Linear

inequalities

2 2 2 2 1 - - - 1 1

5 Squares, ubes,

Square roots,

ube roots

2 1 2 - - 1 1 1 1 1

6 Loci 1 1 1 1 1 - - - 1 1

! "rans#ormations 1 2 2 1 2 2 2 2 2

$ Scale dra%in& - 1 1 1 - - - - - 1

' Statistics 3 3 5 5 4 1 1 1 2 1

10 Solid &eometr(

)net*

1 1 2 1 1 1 - - 1 -

11 onstruction - - - - - 1 1 1 1 1

12 +ra o##unctions

1 1 1 1 2 - - - 1 1


2/102

MODUL PEMULIHAN MATEMATIK PMR (STF)

.riters /

1 n aa oani bt i

2 7n 8od mir ama bin Sudin

3 7n 8od Foi bin 9amri

4 7n :smail bin %an& Non&


3/102

TOPIC : DIRECTED NUMBERS

Duration / 2 ours

Imp!"#$" $"%& :

1 ;nderstand te question

2 Determine te si&n to te numbers and te oeration used

3 :# t%o same si&ns meet ten it %ill be ositi =

= )? * > ?

? )= * > ?

4 Follo% te @AD8S la% / @A )@racBet #Allo%ed b(*, D8 )Di


4/102

SECTION ONE

MODULE 1 DIRECTED NUMBERS

T'& *%&"$ p#p%! +$&&"& , 10 *%&"$&- A$&.%! #// *%&"$&- !"% *!

#$&.%!& +/%#!/ $ "'% &p#+% p!3%3- S'. *! .!4$5- T'% *% ,

+#/+*/#"! & $" #//.%3-

1 alculate te ) 2 marBs *



4 Find te ) 2 marBs *




5/102

! alculate te ) 2 marBs *

$ alculate te ) 2 marBs *

' Find te ) 2 marBs *


SECTION TO

MODULE 1 DIRECTED NUMBERS

T'& *%&"$ p#p%! +$&&"& , 10 *%&"$&- A$&.%! #// *%&"$&- !"% *!

#$&.%!& +/%#!/ $ "'% &p#+% p!3%3- S'. *! .!4$5- T'% *% ,

+#/+*/#"! & $" #//.%3-



6/102




5 alculate te ) 2 marBs *6 Find te ) 2 marBs *

! alculate te ) 2 marBs *


7/102

$ alculate te ) 2 marBs *

' Find te ) 2 marBs *



8/102

TOPIC : FRACTION

Duration / 1 our

Imp!"#$" $"%& :

1 Determine te t(e o# #raction ? a roer #raction or an imroer #raction

2 :# it is a mied number ten it sould be con )2 G 4* = )3 G 3* > 1!

3 4 )3 G 4* 12

)iii* 5 - 3 > )5 G 4* - )3 G 6* > 20 - 1$ > 2 > 1

6 4 )6 G 4* 24 24 12

)i )3 G1 = 2* - )2 G3* > 5 - 6 > -1

3 5 )3 G 5* 15 15

) 2 G 3 > 6 > 3

5 4 5 G 4 20 10

) 2 G 4 > 2 G 4 > $

5 4 5 3 5 G 3 13


9/102

TOPIC : FRACTIONS

SET 1

F$3 "'% #/*% , %#+' , "'% ,//.$5-

1 =

+

3

2

2

1

12

!2 =

3

1-

5

4

15

!

3 =

5

2-

4

3

14

54 =

5

3

3

2-

5

4

5 =

5

32

5

2-

3

12 6 =

6

5

3

2-

10

11

! =

4

3-

2

11

3

11 $ =

+

3

2

6

1

2

11

' =

+

4

1

5

12

3

210 =

$

1

4

11-

2

11

TOPIC : FRACTIONS


10/102

SET 2

1 alculate te


11/102

5 alculate te


12/102

TOPIC : SQUARES SQUARE ROOTS CUBES AND CUBE ROOTS

SET 1 : SQUARES AND CUBES

Duration / 1 our

Imp!"#$" $"%& :

1 S*#!%&? a number is multil( b( itsel#

aaa =2

examples/ 11112 == '3332 ==

'

4

3

2

3

2

3

22

=

=

or'

4

33

22

3

2

3

2

2

22

=

=

=

( ) 040202020 2 ==

Note/ i* squares to one decimal lace t%o decimal laces

ii* te squares o# an( number is al%a(s ositi


13/102

)&*3

5

3

)*3

5

2

)i* ( )23 54 + )* ( ) 32 45

2 Find te


14/102

Imp!"#$" $"%& :

1 S*#!% !"& /

aaaa ==2

examples/ 11111 2 === 3333' 2 ===

3

2

3

2

33

22

'

4

3

2

==

=

Note/ te square roots o# a #raction can be #ound b( #indin& te square

roots o# te numerator and te denominator searatel(

( ) 10101010010 2 ===

( ) 50505050250 2 ===

Note/ square roots to t%o decimal laces one decimal lace

2 C*7% !"&/

aa =3 3

examples / 111111 3 333 ===

4444464 3 333 ===

5

3

5

3

555

333

125

2!3

3

33 =

=

=

( ) 10101010100010 3 333 ===

( ) 40404040400640 3 333 ===

Note/ cube roots to tree decimal laces one decimal lace

Q*%&"$&/

1 alculate te


15/102

)&* 3 64 )* 3 512

)i* 3 3430 )* 3 1250

)B* 3 0640 )l* 3 1250

2 alculate te


16/102

4 )a* Find te


17/102

! )a* Find te


18/102

! Follo% te @AD8S la% / @A )@racBet #Allo%ed b(*, D8 )Di 4 x = 2 - 2 > 4 - 2

x > 2

)ii* x - 3 > 4 x - 3 = 3 > 4 = 3

x > !

)iii* 3x > 2 3 > 2

3 3

x > 2

3

)i ! x G 5 > ! G 5

5 5

x > 35

LINEAR EQUATIONS ( SET 1 )

A$&.%! #// *%&"$&- !"% *! #$&.%!& +/%#!/ $ "'% &p#+% p!3%3- S'.

*! .!4$5- T'% *% , +#/+*/#"! & $" #//.%3-

1 Sol 16 )b* 2m = 3 > 4


19/102

c*3

a> - 5 )d* 3( ? 6 > 15

)4 marBs*

2 Sol 6 )b*

2

m- 3 > 4

c* 5n = 4 > 24 )d* 6 ? 4( > 22

)4 marBs*

3 Sol 2m )b* 5( > 4 ? 3(

c* 3n ? 4 > n = 2 )d* 4 ? 6 > = 6


20/102

)4 marBs*

4 Sol $ )b* B = 2 > ? 2) B - 4 *

)3 marBs*

5 Sol 10 ? 4m )b*2

10+m> 3m

)4 marBs*

LINEAR EQUATIONS ( SET 2 )

A$&.%! #// *%&"$&- !"% *! #$&.%!& +/%#!/ $ "'% &p#+% p!3%3- S'.

*! .!4$5- T'% *% , +#/+*/#"! & $" #//.%3-

2 Sol 1$ )b* 2a - 4 > $


21/102

c*!

x> - 3 )d* 4( = 4 > 20

)4 marBs*

2 Sol 20 )b*4

y- 3 > 4

c* 3n = 4 > - 20 )d*3

5a> 10

)4 marBs*

3 Sol 2m )b* 2( > 15 ? 3(

c* 6a ? $ > a = 2 )d* 3# > 5# - 14

)4 marBs*


22/102

4 Sol 12 )b* 2n - 2 > 4 ) n - 4 *

)3 marBs*

5 Sol 2 )b* 2 ) m ? 1 * > $ ? 3m

)4

marBs*

TOPIC : LINEAR INEQUALITIES

Duration / 1 ours

Imp!"#$" $"%& :

1 n inequalities is a matematical statement tat describes one eression is

&reater tan or less tan anoter in


23/102

- J is read as K&reater tan

- M is read as Kless tan

- is read as K&reater tan or equal to

- O is read as Kless tan or equal to

3 linear inequalities in one unBno%n is a relationsi bet%een an unBno%n in

te #irst de&ree and a number4 "e condition o# an inequalit( is uncan&ed %en a number is added to or

subtract #rom bot sides o# te inequalit(

5 "e condition o# an inequalit( is uncan&ed %en an inequalit( is multilied

or di


24/102

c* 3m J - 12 )d* 3# = 5 O 20

e* 3a = 2 20 )#*6

k -3

) 4marBs *

2 Sol


25/102

a* 2m = 3 J -3 )b* ' ? 2B O -1

c* 5 -2

xJ 4 )d*

4

f= 3 1

) 4 marBs *

4 Sol


26/102

6 List all te inte&er


27/102

- examples/1 /2

1 dra%in& is t%o times bi&&er tan obect

1 / 2 dra%in& is t%o times smaller tan obect

Scale 1 /2

1 Len&t o# te side o# te dra%in&

len&t o# te corresondin& side o# te obect3 e


28/102

2 Dia&ram 2 so%s a traeium

16 m

6 m

10 m

An te &rid in te ans%er sace, dra% dia&ram 2 usin& te scale 1 / 200 "e

&rid as equal squares %it sides o# 1 cm

H3 marBsI

Dia&ram 2


29/102

3 Dia&ram 3 so%s a circle %it radius 6 cm

An te &rid in te ans%er sace, dra% dia&ram 3 usin& te scale 1 / 2 "e &rid

as equal squares %it sides o# 1 cm

H3 marBsI

4 Dia&ram 4 so%s a ea&on

' cm

' cm

15 cm

6 cm

21 cm

An te &rid in te ans%er sace, dra% dia&ram 4 usin& te scale 1 / 2 "e &ridas equal squares %it sides o# 1 cm

Dia&ram 3

Dia&ram 4


30/102

H3 marBsI

5 Dia&ram 5 so%s a traeium

4 cm

3 cm

5 cm

An te &rid in te ans%er sace, dra% dia&ram 5 usin& te scale 1 /2

1 "e


H3 marBsI

Dia&ram 5


31/102

6 Dia&ram 6 so%s a ea&on

3 cm

4 cm

4 cm 5 cm

3 cm


1 "e


H3 marBsI

! Dia&ram ! so%s a ea&on

Dia&ram 6


32/102

10 m

6 m

16 m

An te &rid in te ans%er sace, dra% dia&ram ! usin& te scale 1 / 200 "e


H3 marBsI

$ Dia&ram $ so%s a combined sae o# an isosceles and a al#-circle

Dia&ram !


33/102

15 cm

1$ cm

An te &rid in te ans%er sace, dra% dia&ram $ usin& te scale 1 / 3 "e &rid

as equal squares %it sides o# 1 cm

H3 marBsI

' Dia&ram ' so%s a combined sae o# a square and a al#-circle

3 cm

An te &rid in te ans%er sace, dra% dia&ram ' usin& te scale 1 /2

1 "e


H3 marBsI

Dia&ram '

Dia&ram $


34/102


35/102

11 Dia&ram 11 so%s a #i&ure dra%n on a square &rids Dra% te scale dra%in&

o# te #i&ure b( usin& te scale 1 /2

1 H3

marksI

Answer :Dia&ram 11


36/102

TOPIC : SOLID 8EOMETRY (NET)

Duration / 1 our

Imp!"#$" $"%& :

1 Determine te dia&ram

2 Determine te number and sae o# te sur#ace

3 Determine te scale/-

e& / #ull scale dra%in& same sie

4 ;se (ta&oras ratio %ere needed e& / 3, 4, 5 or 6, $, 10 etc

5 &eometric solid can a


37/102


38/102

Dra% a #ull scale, te net o# te cuboid on te &rid in te ans%er sace "e

&rid as equal squares %it sides o# 1 unit

H3 marBsI

3 Dia&ram 3 so%s a rism

Dra% a #ull scale, te net o# te rism on te &rid in te ans%er sace "e


H3 marBsI

4 Dia&ram 4 so%s a cone %it diameter 6 units

6 units

4 unitsDia&ram 3

3 units


39/102

5 units



H3 marBsI

5 Dia&ram 5 so%s a ri&t c(linder "e radius o# te c(linder is 35 units and

its ei&t is 4 units

Dra% a #ull scale, te net o# te c(linder on te &rid in te ans%er sace "e


H3 marBsI

Dia&ram 5

Dia&ram 4


40/102

6 Dia&ram 6 so%s a cuboid


&rid as equal squares %it sides o# 1 unit H3 marksI

Answer/

! Dia&ram ! so%s te net o# a solid

5 units

4 units Dia&ram 6

3 units


41/102

Name te solid H1 marBI

Answer :

$ Dia&ram $ so%s a cube "e len&t o# te side is 4 cm

Dra% a #ull scale, te net o# te cube on te &rid in te ans%er sace "e &rid

as equal squares %it sides o# 1 unit H3 marksI

Answer/

' Dia&ram ' so%s te net o# a solid

4 units Dia&ram $

Dia&ram !

Dia&ram '


42/102

Name te solid H1 marBI

Answer :

TOPIC : TRANSFORMATIONS

Duration / 3 ours


43/102

Imp!"#$" $"%& :

1 trans#ormation is a one-to-one corresondence bet%een oints on a lane

2 Four t(e o# trans#ormation /)a* "ranslation

- a trans#ormation %ere all oints on te lane are mo


44/102

TRANSLATION

1 8arB te ima&e o# te oint under te #ollo%in& translations

i*

4

4

ii*

53

iii*

2

6

i


45/102


46/102

REFLECTION

1 :n te dia&ram, dra% te ima&e o# under a re#lection in tey-ais

2 :n te dia&ram, dra% te ima&e o# " under a re#lection in

a* tex-ais

b* tey-ais

c* te liney>x

d* "e liney > 2

3 Dra% te ais re#lection @ i# R is te ima&e o# L under a re#lection

4 :n te dia&ram, is te ima&e o# Q under a re#lection

Describe te re#lection

R

x

K

K

KL

L

L

y

x

y

T

2

0 2

;2

;2

6

6

6P


47/102

5 :n te dia&ram, Q is te ima&e o# under a trans#ormation A

Describe #ull( te trans#ormation A

5 :n te dia&ram, R is te ima&e o# L under a trans#ormation M

Describe #ull( te trans#ormation M-

TOPIC : TRANSFORMATIONS

SET A

b* 8arB %it te s(mbol te intersection o# te locus T and U

ns%er/

@

S A Q

D

3 Dia&ram in te ans%er sace so%s a square @D T, U and 9 are treemo


56/102

a* An te dia&ram, dra%/

i* "e locus o# T suc tat T > T

ii* "e locus o# U suc tat U > UD

iii* "e locus o# 9 suc tat 9 > 97

b* ence, marBs %it te s(mbol te intersection o# te locus T and U

7

ns%er/ @

D

4 Dia&ram in te ans%er sace so%s a rectan&ular @D T and U are t%o

mo


57/102

i* "e locus o# tat is constantl( 1 cm #rom te strai&t line VR

ii* "e locus o# @ tat is constantl( 2 cm #rom te strai&t line V8

b* ence, marBs %it te s(mbol te intersection o# te locus and @

ns%er/V R

8 L

6 Dia&ram in te ans%er sace so%s a rectan&ular @D U and 9 are t%o

mo


58/102


59/102

1 Dia&ram in te ans%er sace so%s a square @D dra%n on a &rid o# equal

squares %it sides o# 1 unit T, U and 9 are tree mo RL

B* "e locus o# @ tat is constantl( 3 cm #rom te strai&t line V8

ii* "e locus o# U suc tat it is equidistant #rom strai&t lines VR

and

V8

b* ence, marBs %it te s(mbol te intersection o# te locus and @

ns%er/

V R

8 L

3 Dia&ram in te ans%er sace so%s #our squares, RVN, RQLV, NV8S and

VL8 , @ and are tree mo


60/102

i* te locus o# suc tat V > 2 cm

ii* te locus o# @ suc tat it is equidistant #rom oints and V

iii* te locus o# suc tat it is constantl( 1 cm #rom te strai&t line NL

i 4 cm

* "e locus o# 9 suc tat it is equidistant #rom strai&t lines @

and D


ns%er/ @

D

5 Dia&ram in te ans%er sace so%s an equilateral trian&le @ o# sides 6

cmT and U are t%o mo


61/102

a* An te dia&ram, dra%

i* "e locus o# T suc tat its distance #rom oint and are te same

ii* "e locus o# U suc tat its distance #rom oint @ is 3 cm


ns%er/

@

6 Dia&ram belo% so%s a rectan&ular QS , @ and are tree mo


62/102

1 Dia&ram in te ans%er sace so%s a rectan&ular @D U and 9 are t%o

moT

ii* "e locus o# U suc tat it is equidistant #rom strai&t lines D

and @


ns%er/

@

D

3 Dia&ram in te ans%er sace so%s a trian&le TU9 , @ and are tree

mo


63/102

a* i* "e locus o# suc tat it is mo 35 cm

iii* "e locus o# suc tat it is equidistant #rom oints U and 9

b* ence, marBs %it te s(mbol te intersection o# te locus and

ns%er/

T

U

9

5 Dia&ram in te ans%er sace so%s #our squares, RVN, RQLV, NV8S and

VL8 , @ and are tree mo


64/102

i* te locus o# suc tat V > VN

ii* te locus o# @ suc tat it is equidistant #rom oints and

iii* te locus o# suc tat it is constantl( 2 cm #rom te strai&t line S

i @;

iii* "e locus o# suc tat it is equidistant #rom strai&t lines "S and S

; " S

ns%er/

Q

TOPIC : 8EOMTRICAL CONSTRUCTIONS

Duration / 3 ours


65/102

Imp!"#$" $"%& :

1 onstruct line se&ment

- usin& a ruler, dra% a strai&t line

- marB a oint on te line and label - usin& a air o# comasses, set it to te radius needed

- %it te centre o# te marBed oint, dra% an arc to cut te strai&t line

2 onstruct an&les 60o

- #ollo% stes in )1*

- %it te centre o# te marBed oint, dra% a bi& arc to cut te strai&t line

- usin& te same radius and te intersection o# te arc and te strai&t line as

te centre, dra% anoter arc

- oint te #irst oint and te intersection o# t%o arcs to &et 60 oan&le

3 onstruct an&le bisector- usin& a ruler, dra% t%o strai&t lines %ic intersect eac oter

- %it te intersection as te centre, dra% arcs to cut bot lines

- %itout can&in& te radius and te oints o# intersection o# te line and arc,

dra% arcs tat cut eac oter

- oint te intersection o# t%o lines and te intersection o# t%o arc

4 onstruct erendicular bisector

- #ollo% stes in )1*

- set te comasses to a radius sli&tl( o


66/102

SECTION ONE

MODULE THREE CONSTRUCTION

T'& *%&"$ p#p%! +$&&"& , 10 *%&"$&- A$&.%! #// *%&"$&- !"% *!

#$&.%!& +/%#!/ $ "'% &p#+% p!3%3- S'. *! .!4$5-

1 onstruct a bisector #rom te an&elbelo%

a

c

b

d

2

@

n&le @

@

n&le @

@

n&le @

n&le @

@


67/102

2 onstruct 60W an&le #rom te oint

An te line belo%

a

b

c

d

e

#

3


68/102

SECTION TO

1 onstruct 30W an&le #rom te oint An te line belo%

a

b

c

d

e

#

4


69/102

2 onstruct erendicular line ) '0W*

#rom te oint on te line belo%

a

b

c

d

e

#

5


70/102

SECTION TREE

1 onstruct 45W #rom te oint on

te line belo%

a

b

c

d

e

#

6


71/102

2 onstruct erendicular line ) '0W*

#rom te oint belo%

a

b

c

d

e

#


72/102


73/102

SECTION ONE

MODULE 1 STATISTICS

T'& *%&"$ p#p%! +$&&"& , @ *%&"$&- A$&.%! #// *%&"$&- !"% *!

#$&.%!& +/%#!/ $ "'% &p#+% p!3%3- S'. *! .!4$5- T'% *% ,

+#/+*/#"! & $" #//.%3-

1 "able so%s te membersi o# 4 societies in a scool :n te square &rid ro


74/102

2 "able so%s te membersi o# 4 clubs in a scool :n te square &rid ro


75/102

Using ! unit equal 2 pencils on y - axis raw a line graph"

ns%er/

4 T#7/% so%s t(es o# #ruit tree &ro%n in Sale Arcard

Using ! unit equal !0 trees on y - axis raw a bar chart

Tp% , F!*"&N*m7%! , T!%%&Durian40ambutan!0Lan&sat100

TABLE


76/102

ns%er/

5 T#7/% so%s te a


77/102


78/102

SECTION TO

MODULE 1 STATISTICS

T'& *%&"$ p#p%! +$&&"& , @ *%&"$&- A$&.%! #// *%&"$&- !"% *!

#$&.%!& +/%#!/ $ "'% &p#+% p!3%3- S'. *! .!4$5- T'% *% ,

+#/+*/#"! & #//.%3-

1 T#7/%so%s te number o# co-curricular acti


79/102

2 T#7/% so%s te number o# students %o liBe #our t(es o# drinBs

"e in#ormation #or "ea is so%n #ull( in te ie cart in te ans%er sace

)a* omlete te table in ans%er sace

)b* omlete te ie cart to reresent all te in#ormation in T#7/%H# marksI

Answer:

3 T#7/%so%s te number o# students %o liBe la( #our t(es o# sorts

"e in#ormation #or u&b( is so%n #ull( in te ie cart in te ans%er sace

T%#

'0W

"(es o# DrinBsNumber o# Studentsn&le o# te

Sector8ilo15o##ee'Nesca#e6"ea10

TABLE


80/102

)a* omlete te table in ans%er sace

)b* omlete te ie cart to reresent all te in#ormation in T#7/%

H# marksI

Answer:

4 T#7/%so%s te number o# students %o liBe in


81/102

Answer:

4 T#7/%so%s te ercenta&es o# students %o #ul#ill teir leisure time %it

acti


82/102

"(es o# cti


83/102

SECTION THREE

MODULE 1 STATISTICS

T'& *%&"$ p#p%! +$&&"& , @ *%&"$&- A$&.%! #// *%&"$&- !"% *!

#$&.%!& +/%#!/ $ "'% &p#+% p!3%3- S'. *! .!4$5- T'% *% ,

+#/+*/#"! & #//.%3-

1 T#7/% so%s te number o# ma&aines in te readin& corner o# tree classes

"e in#ormation #or te @iaBsana lass is so%n #ull( in te icto&ra in te

ans%er sace

omlete te icto&ra to reresent all te in#ormation in T#7/%

H# marksI

Answer:

C/#&&N*m7%! ,

M#5#$%&mana60@iaBsana40emerlan&100

TABLE

N*m7%! , m#5#$%& $ "'% !%#3$5 +!$%!-

mana

@iaBsana

emerlan&

reresents 20 booBs


84/102

2 T#7/% so%s te number o# student a


85/102

3 T#7/% so%s te number o# Durian tree in tree illa&e

"e in#ormation #or te lass is so%n #ull( in te icto&ra in te ans%er

sace

omlete te icto&ra to reresent all te in#ormation in T#7/%

H# marksI

Answer:

>//#5%N*m7%! , D*!#$ "!%%65@45100

TABLE

N*m7%! , D*!#$ "!%% $ "'!%% //#5%-

@

reresents 20 tree


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4 T#7/% so%s te a


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5 T#7/% so%s te total net ro#it o# sellin& #or #i


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TOPIC : 8RAPH OF FUNCTION

Duration / 3 ours

Imp!"#$" $"%& :

1 a #unction is a relationsi bet%een t%o


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TOPIC : 8RAPHS OF FUNCTIONS

S7" 1

Dra% te -ais and te (-ais and marB te scales

1 ;sin& a scale o# 2+m " 1 *$" $ "'%x;#?&and 2 +m " 2 *$" $ "'%y;

#?&-

2 ;sin& a scale o# 2+m " 1 *$" $ "'%x;#?&and 2 +m " @ *$" $ "'%y;

#?&-


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3 ;sin& a scale o# 2+m " 1 *$" $ "'%x;#?&and 2 +m " 10 *$" $ "'%y;

#?&-

4 ;sin& a scale o# 1+m " 1 *$" $ "'%x;#?&and 1 +m " @ *$" $ "'%y;

#?&-


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1 Use the graph paper pro&ie to answer this question"

"able 1 so%s te


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S7" 2

1 Use the graph paper pro&ie to answer this question""able 1 so%s te


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"able 1 so%s te


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S7" 3


"able 1 so%s te


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ENHANCEMENT QUESTIONS

Duration / 1 our

"e questions are based on te toics tat a


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and 04


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! :n dia&ram 2, is te ima&e o# " under trans#ormation

Describe in #ull trans#ormation H2 marksI

Answer :

)" Dia&ram 3 so%s a sae o# an arro%

2 cm

3 cm 5 cm

2 cm

2 cm


1 "e

&rid as equal squares %it sides o# 1 cm H3 marksI

Answer :

$

$

4

6

2

62 4

" Dia&ram 2

Dia&ram 3


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'

"e data in dia&ram 4, so%s scores obtained b( 20 students in a 8atematics test

1! 1$ 15 16 20 20 1! 16 16 151$ 1' 1! 15 20 1! 1$ 1' 16 1!

)a* ;sin& te data, comlete te #requenc( table in te ans%er sace

)b* State te mode H3 marksI

Answer :

)a*

Scores 15 16 1! 1$ 1' 20

Frequenc(

)b*

10 Dia&ram 5 so%s a rism

Dra% a #ull scale, te net o# te rism on te &rid in te ans%er sace "e

&rid as equal squares %it sides o# 1 unit H3 marksI

Answer/

6 units

4 units Dia&ram 5

3 units


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11 *et squares an protractors are not allowe for this question

Dia&ram 6 so%s a strai&t line+,

)a* ;sin& onl( a ruler and a air o# comasses,)i* construct trian&le+,, startin& #rom te strai&t line+,, suc tat

o-+, 60= and,> 6 cm

)ii* "en construct te erendicular line trou& te oint

)b* @ased on te dia&ram constructed in )a*, measure te erendicular distance

bet%een ointand te strai&t line+,

H. marksI

Answer/

12 Use the graph paper to answer this question

"able belo% so%s te


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@( usin& a scale o# 2 cm to 1 unit on tex-ais and 2 cm to 5 units on tey-ais,

dra% te &ra o# #unction

H# marksI

/raph for question !2"


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Documents

Students' Modul (PMR MATEMATIK PEMULIHAN)