Sbp Trial Pt3 2015

8/17/2019 Sbp Trial Pt3 2015

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TERHAD 50 / Matematik Matematik

Ujian Bertulis

Ogos 2015

2 Jam

BAHA!A" #E"URU$A" $E%O&AH BERA$RAMA #E"UH

DA" $E%O&AH %E'EMER&A"A"

#E"TA%$!RA" D!A"O$T!% A%ADEM!% $B# 2015

#ER'UBAA" #E"TA%$!RA" T!"%ATA" (

MATEMAT!%

Ujian

Bertulis 2

Jam

JA"A" BU%A %ERTA$ $OA&A" !"! $EH!"A D!BER!TAHU

Ara)an*

1. Tuliskan nama dan tingkatan anda pada ruang yang disediakan.

2. Kertas soalan ini adalah dalam dwibahasa bahasa Melayu dan bahasa Inggeris.3. Kertas soalan ini mengandungi 10 soalan.4. Jawab semua soalan.5. Jawapan anda hendaklah ditulis pada ruang yang

disediakan dalam kertas soalan ini.6. Tunjukkan langkah-langkah penting dalam kerja

mengira anda. Ini boleh membantu untuk mendapatkan markah.

7. Jika anda hendak menukar jawapan, batalkan jawapan yang telah dibuat. Kemudian tulis jawapan yang baru.

8. Rajah yang mengiringi soalan tidak dilukismengikut skala kecuali dinyatakan.

9. Markah yang diperuntukkan bagi setiap soalanditunjukkan dalam kurungan.

10. enggunaan kalkulator dibenarkan.11. !erahkan kertas soalan ini kepada

pengawas peperiksaan pada akhir peperiksaan.

NAMA: …………………………………………………………………

ANGKA GILIRAN :

Kertas soalan ini en!an"#n!i (+ $alaan %er&eta'.

"ntuk Kegunaan emeriksa

Ko" (eeri'sa :

)oalan Mar'a$(en#$ Mar'a$*i+erole$

1 10

2 10

3 10

4 10

5 10

6 10

7 108 10

9 10

10 10

Jumla)

8/17/2019 Sbp Trial Pt3 2015


TERHAD 50 / Matematik ,5 / Matematik # $%&' (ak )ipta *!*!K -&i)at Halaman $e.ela)

TERHAD

8/17/2019 Sbp Trial Pt3 2015


(x x ) 2 ( y y )221 21

TERHAD 2 50 / Matematik

,5 / Matematik # $%&' (ak )ipta *!*!K TERHAD

Rumusrumus .erikut .ole) mem.antu ana menjaa. soalan $im.olsim.ol 3ang i.eri

aala) 3ang .iasa igunakan

#ER%A!TA"

1 am× a

n = am+n

2 am÷ a

n = am−n

3 ,am

-n = a

mn

4 ara' /

5 iti' ten!a$

+ + + y + y , + y- / 1 2 1 2

2 2

6 La# (#rata /ara' an!"ilal#i

Masa an!"ia%il

7 Min

/

#la$ "atailan!an "ata

8 eore (it$a!oras

c2 = a

2 + b2

BE"TU% DA" RUA"

1 L#as se!i e+at te+at / +anan! × le%ar

2 L#as se!i ti!a/

1× tapak × tinggi

2

3 L#as se!i e+at selari / ta+a' tin!!i

4 L#as tra+ei#/

1× #la$ sisi selari ×

tin!!i 2

5 Lilitan %#latan / π d = 2π r

6 L#as #latan / π r 2

8/17/2019 Sbp Trial Pt3 2015


TERHAD ( 50 / Matematik


7 L#as +er#'aan silin"er elen!'#n! / 2π rh

8 L#as +er#'aan sera / 4π r 2

9 Isi+a"# +risa te!a' / l#as 'eratan rentas × +anan!

10 Isi+a"# '#%oi" / +anan! × le%ar × tin!!i

11 Isi+a"# silin"er / π r 2 h

12 Isi+a"# 'on/

1π r 2 h

3

13 Isi+a"# sera/

4π r 3

3

14 Isi+a"# +irai" /1× l#as ta+a' × tin!!i

3

15 asil ta%a$ s#"#t +e"alaan +oli!on / ,n − 2- ×180

16 (anan!len!'o' Lilitan

%#latan = )#"#t +#sat

360°

17 L#as se'tor L#as %#latan = )#"#t

se'tor360°

18 a'tor )'ala k / ′

19 L#as Ie / k 2×l#as o%e'

8/17/2019 Sbp Trial Pt3 2015


TERHAD , 50 / Matematik

(x x ) 2 ( y y )221 21

The ollowing ormulae may be helpul in answering the uestions. The symbols gi/en are theones commonly used.

1 am × an =

am+n

RE&AT!O"$

2 am ÷ an = am−n

3 ,am -n= amn

4 *istan&e /

5 Mi"+oint + + +

y + y

, + y-/ 1 2 1 2 2 2

6Aera!e s+ee" /

"istan&e traelle"tie ta'en

7 Mean / s# o "ata

n#%er o "ata

8 (t$a!oras $eore

c2 = a

2 +b

2

$HA#E A"D $#A'E

Area o re&tan!le / len!t$ × ;i"t$

2 Area o trian!le /1×

2 %ase ×

$ei!$t

3 Area o +arallelo!ra / %ase × $ei!$t

4 Area o tra+ei# / 1 ×2

s# o +arallel si"es × $ei!$t

8/17/2019 Sbp Trial Pt3 2015


TERHAD , 50 / Matematik

5 <ir&#eren&e o &ir&le / π d = 2π r

Area o &ir&le / π r 2

7 <#re" s#ra&e area o &lin"er / 2π rh

8/17/2019 Sbp Trial Pt3 2015



8 )#ra&e area o s+$ere / 4π r 2

9 =ol#e o ri!$t +ris / &ross se&tional area × len!t$

10 =ol#e o &#%oi" / len!t$ × ;i"t$ × $ei!$t

11 =ol#e o &lin"er / π r 2 h

12 =ol#e o &one / 1π r

2h

3

13 =ol#e o s+$ere / 4π r 3

3

14 =ol#e o ri!$t +rai" /1× %ase area × $ei!$t

3

15 )# o interior an!les o a +ol!on / ,n − 2- ×180

16 ar& len!t$=

an!le s#%ten"e" at &entre

&ir&#eren&e o &ir&le 360

17 area o se&tor = an!le s#%ten"e" at&entre area o &ir&le 360

18 )&ale a&tor k / ′

,

19 Area o ia!e / k 2× area o o%e&t

8/17/2019 Sbp Trial Pt3 2015



a;a% $EMUA soalan.

nswer ALL the uestions.

1.,a- #n"ar'an 1 725 481 'e+a"a

Round o & 0$' 12& to

a;a+an > nswer :

,i- rat#s an! $a+ir

The nearest hundred

,ii- ri%# an! $a+ir

The nearest thousand

,iii- rat#s ri%# an! $a+ir

The nearest hundred thousand

,%- ,i-2

+ 5

+ 1= 0.528 . <ari nilai p.

? 3 ar'a$ @

34 marks5

250 10 p

2

+ 5 +

1= 0.528 . 6ind the /alue o p. ? 1 ar'a$ @

250 10 p

3& mark5

a;a+an > nswer :

8/17/2019 Sbp Trial Pt3 2015


TERHAD + 50 / Matematik

,ii- at$i eneria ;an! sa'# se%ana' RM 2.40 se$ari "ari+a"a %a+ana. *ia

eni+an1

3

ana'ala5

6

"ari+a"a ;an! sa'#na +a"a setia+ $ari Isnin )elasa "an Ra%#

+a"a setia+ $ari K$ais "an #aat. era+a'a$ #la$ ;an!

an! "isi+an "ala asa "#a in!!#

6athi recei/ed a pocket money o RM $.1% a day rom his ather. (e keeps1

3

o his pocket money on e/ery Monday, Tuesday and 7ednesday while5

on6

e/ery Thursday and 6riday. (ow much money is stored in two weeks8

?3 ar'a$ @

34 marks5

a;a+an > nswer :

,&- *ala s#at# +ertan"in!an '#i ateati' 5 ar'a$ a'an "i%eri'an 'e+a"a setia+

a;a+an an! %et#l "an 3 ar'a$ a'an "itola' %a!i setia+ a;a+an an! sala$. arra$ena;a% 28 "ari+a"a 45 soalan "en!an %et#l. era+a %ana' ar'a$ an! "i+erole$ole$ arra$ "ala +ertan"in!an '#i terse%#t

In a math ui9, ' marks were gi/en or each correct answer and 4 points werededucted or e/ery wrong answer. 6arrah answered $2 o 1' uestions correctly.

(ow many marks obtained by 6arrah at the end o the ui98

a;a+an > nswer :

? 3 ar'a$ @

34 marks5

8/17/2019 Sbp Trial Pt3 2015


2 dan 7 adalah faktor perdana bagi m dalam julat2 and 7 are the prime factors of m in the range of

TERHAD 50 / Matematik

2 ,a- ,i-

<ari nilai m .

6ind the /alue om.

a;a+an > nswer :

?1 ar'a$ @

3& mark5

,ii- Aeer eni#+ ;isel setia+ 3 init ana'ala Bi'ri +#la eni#+ ;isel setia+ 5init. i'a Aeer "an Bi'ri #la eni#+ ;isel serenta' +a"a init 'e %era+a

;isel terse%#t a'an %er%#ni se&ara serenta' se'ali la!i. meer blows the whistle e/ery 4 minutes while :ikri blows his whistle e/ery 'minutes. I both o them start blowing their whistles at the same time, at whichminute will their whistle be blown at the same time again8

a;a+an > nswer :

? 2 ar'a$ @

3$ marks5

8/17/2019 Sbp Trial Pt3 2015



,%- ,i- Me"ian %a!i ti!a no%or iala$ +. *i%eri "ata ter'e&il '#ran! 2 "ari+a"anaana'ala "ata ter%esar le%i$ 5 "ari+a"ana. i'a in %a!i ti!a no%or terse%#t iala$ 8 &ari nilai +

The median o three numbers is +. ;i/en the lowest /alue is less than $ rom it,

while the largest is more than ' rom it. I the mean o the three numbers is 2, ind the /alue o +8

a;a+an > nswer :

?2 ar'a$ @

3$ marks5

,ii- L#as se%#a$ se!i e+at saa iala$ 400 2. i'a se!i e+at it# "il#'is se#la"en!an en!!#na'an s'ala 1: 8 +anan! sisi se!i e+at saa it# "ala & iala$

The area o a suare is 1%% m$. I the rectangle is redrawn using a scale o&< 2, the length side o the suare in cm , is

a;a+an > nswer :

? 2 ar'a$ @

3 $ marks5

8/17/2019 Sbp Trial Pt3 2015


43

3

3 145

3

27


2

1− ×

(χ)

2

1 −

1 −9

7

? 3 ar'a$ @

34 marks5

8/17/2019 Sbp Trial Pt3 2015



3 ,a- (ili$ "an tan"a'an , C- +a"a ti!a %entan!an '#%oi" an! %et#l.

)hoose and mark =>? three igures which are the correct layout o cuboid.

,i-

,ii-

,iii-

,i-

,-

? 3 ar'a$ @

3 4 marks5

8/17/2019 Sbp Trial Pt3 2015



,%- ,i- Dn&i' aan $en"a' eoton! r#+#t "i se%#a$ +a"an! +erainan'ana'E 'ana' an! %er#'#ran 20 le%ar "an 260 +anan!. era+a laa'a$asa an! "ia%il i'a "ia "a+at enia+'an 650 F "ala asa sea

Mr (a9man want to cut the grass on the children@s playground measuring

$% m wide and $A% m long. (ow long will it take, i he can inished A'% mB within an hour8

a;a+an > nswer :

? 2 ar'a$ @

3 $ marks5

,ii- *iaeter se%#a$ sera iala$ y &. i'a l#as +er#'aan sera it# iala$

12571

&F &ari nilai y.7

The diameter o a sphere is y cm. I the total surace area o the sphere are

&$'0 1 cmB, ind the /alue o y.7

? G#na >"se

π = 22

@7

? 2 ar'a$ @

3 $ marks5

a;a+an > nswer :

8/17/2019 Sbp Trial Pt3 2015


TERHAD 1( 50 / Matematik

,&- *i%eri M,3 E2- iala$ ie %a!i N,4 3- "i %a;a$ sat# +#taran +a"a titi' ,1 1-.<ari s#"#t "an ara$ +#taran serta &ari ie %a!i titi' ,E2 0- "i %a;a$ +#taran

an! saa.

;i/en that M=4, -$? is the image o C=1, 4? under a rotation about point =&, &?. 6ind

the angle and direction o the rotation, and hence ind the image o point =-$,%? under the same rotation.

a;a+an > nswer :

G#na'an 'ertas !ri" an! "ise"ia'an #nt#' ena;a% soalan ini.

"se the grid paper gi/en to answer this uestion.

? 3 ar'a$ @

3 4 marks5

8/17/2019 Sbp Trial Pt3 2015


TERHAD 1, 50 / Matematik

)#"#t +#taran /

ngle o rotation

Ara$ +#taran /

Direction o rotation

Koor"inat ie %a!i titi' , E2 0- /

The image coordinate o point = -$, % ?

8/17/2019 Sbp Trial Pt3 2015


(5p ! ") cm ! 2p cm

(5p ! ") cm # (3" ! 3p) cm

(5p ! ") cm


4 ,a- Beit e+#nai 3 %atan! +ensil se+erti !a%araa$ 4,a- "i %a;a$ :

:eity has three pencils as shown in the diagram 1=a? below.

Ga%araa$> Diagram 4,a-

i'a 3 %atan! +ensil it# "is#s#n "ala sat# !aris l#r#s t#lis #la$ +anan! ti!a %atan! +ensil it# "ala #n!'a+an al!e%ra.

I the three pencils were arranged in a straight line, write the total length o three pencils in algebraic e+pression.

a;a+an > nswer :

? 3 ar'a$ @

3 4 marks5

,%- ,i- *ala !a%araa$ 4,%-,i- A<* iala$ se%#a$ se!ie+at te+at "en!an +erieter 92 &.

8/17/2019 Sbp Trial Pt3 2015


$ %

&

7 cm'

15 cm

3 cm


The diagram 1=b?=i? below shows a rectangle *)D with perimeter E$ cm.

Ga%araa$> Diagram 4,%-,i-

ent#'an saa a"a se!i ti!a <*D iala$ se%#a$ se!i ti!a %ers#"#t te!a' ata# %#'an.

Determine whether triangle )DF is a right-angled triangle or not.

? 2 ar'a$ @

3 $ marks5

a;a+an > nswer :

8 %- ,ii-

*


+ ,

y

8/17/2019 Sbp Trial Pt3 2015


x

TERHAD 1+ 50 / Matematik


Ga%araa$> Diagram 4,%-,ii-

5--

.

*ala !a%araa$ 4 ,%-,ii- "i atas JKGM iala$ se%#a$ se!ie+at saa. MKC "an

JGH iala$ !aris l#r#s. Nilai %a!i + y iala$ In the diagram 1=b?=ii? abo/e, JKGM is a suare. MKC dan JGH are straight lines.The /alue o + y is

? 2 ar'a$ @

3 $ marks5

a;a+an > nswer :

,&- L#an "iinta #nt#' el#'is'an &a"an!an ta+a' %a!i +ertan"in!an &at#r "i

se'ola$na. *ia el#'is'an &a"an!an ta+a' +ertan"in!an "i atas 'ertas !ri" se+erti

8/17/2019 Sbp Trial Pt3 2015



"it#n#''an "i %a;a$ an! en#n#''an I "an iena II "i %a;a$ s#at# +e%esaran. Mea %a!i +e!a;ai +ertan"in!an an! a'an eneria 'e+#t#san %a!isetia+ +#sin!an a'an "is#s#n "i Ka;asan II . *i%eri l#as %a!i 'a;asan an! %ole$"i!#na'an #nt#' ea +eserta +ertan"in!an iala$ 80 #nitF. <ari l#as 'a;asan an!a'an "i!#na'an ole$ +e!a;ai +ertan"in!an.

Guman was asked to draw a proposed site or a chess competition in his school. (ehas drawn the proposed competition site on a grid paper as shown in I and II under an enlargement. The table or the match oicials who recei/e the results o e/eryround will be arranged in area II. ;i/en the area or the participants@ counter is2% unit $. 6ind the area to be used or the match oicials.

? 3 ar'a$ @

3 4 marks5

a;a+an > nswer :

5 ,a- (a"an'an +ersaaan linear an! %eri'#t "en!an +enelesaian an! %et#l.

8/17/2019 Sbp Trial Pt3 2015



Match each o the linear euations below with the correct solutions.

?4 ar'a$@

34 marks5

,i-

,ii-

,iii-

,%- Raa$ 5 "i r#an! a;a+an en#n#''an se%#a$ se!i e+at saa KGMC an! "il#'is +a"a !ri" se!ie+at saa %ersisi 1 #nit. R "an ! iala$ titi' ten!a$ %a!i KG GM MC "an CK asin!Easin!. L "an : a"ala$ ti!a titi' an! %er!era' "i"ala raa$ terse%#t.

Diagram ' in the answer space shows a suare KGMC drawn on a grid o eual suares with side o & unit. , , R and ! are midpoints o KG, GM, MC and CK respecti/ely. , L and : are three mo/ing points in the diagram.

,i- iala$ sat# titi' an! %er!era' "en!an 'ea"aan ara'na sentiasa saa"ari K "an M . *en!an en!!#na'an $#r# a%a" +a"a raa$ it# nata'anlo'#s %a!i .

is a point which mo/es such that it is always euidistant rom K and M. *y using the letters in the diagram, state the locus o .

,ii- (a"a raa$ it# l#'is

Hn the diagram, draw,a- Lo'#s %a!i titi' L an! %er!era' "en!an 'ea"aan LR / 3

#nits. The locus o point L which mo/es such that LR 4

units.

,%- Lo'#s %a!i titi' : an! %er!era' "en!an 'ea"aan ara'na a"ala$sentiasa saa 2 #nit "ari !aris CM .

The locus o point : which mo/es such that it is constantly $ units rom the straight line CM.

H

8/17/2019 Sbp Trial Pt3 2015


, / 0

*


,iii- )eter#sna tan"a'an "en!an si%ol ⊗ +ersilan!an %a!i lo'#s L "anlo'#s : .

(ence, mark all the possible positions o the intersection o the loci o the

locus o L and the locus o : with symbol ⊗ .

?1 ar'a$@

31 marks5

a;a+an / nswer :

,i- ,ii- a % ,iii-

Raa$> Diagram 5

8/17/2019 Sbp Trial Pt3 2015



,&- ,i- )elesai'an tia+Etia+ 'eta'saaan linear %eri'#t :

2 + −1 ≤ 5 "an 13 > 10 − 3 +

!ol/e each o the ollowing simultaneous linear ineualities<

2 + −1 ≤ 5 and 13 > 10 − 3 +

,ii- a'il'an nilai se+#na %a!i + an! e#as'an 'e"#aE"#a'eta'saaan "ala 5,&-,i- +a"a !aris no%or "i %a;a$.

Represent the common /alues o + which satisy both ineualities in '=c?=i? on the number line below.

?4 ar'a$@

34 marks 5

a;a+an> nswer :

8/17/2019 Sbp Trial Pt3 2015


75

75

/

75

75

/

75

75

/


4 ,a- (a"a setia+ raa$ "i %a;a$ tan"a'an , C - +a"a !aris an! selari "en!an R! "an,- +a"a !aris an! ti"a' selari "en!an R! .

*ased on the diagrams below, mark = > ? or diagram which shows line parallel to line R! and =N? or line not parallel to line R!.

?4 ar'a$@

34 marks5

a;a+an> nswer

,i-

,ii-

,iii-

8/17/2019 Sbp Trial Pt3 2015


Q R

186°

40° O

x

S

P T

ajah b(i)

&iagram b(i)

TERHAD 2( 50 / Matematik

,%- ,i- Raa$ 6% ,i- en#n#''an se%#a$ %#latan

%er+#sat H. Diagram Ab =i? shows a circle with

centre H.

<ari nilai + .

6ind the /alue o +.?$ ar'a$@

3$ marks5

a;a+an> nswer

8/17/2019 Sbp Trial Pt3 2015


F

E xy

O

110°G

H

ajah b(ii)

&iagram b(ii)

TERHAD 2, 50 / Matematik

,ii- Raa$ 6%,ii- en#n#''an se%#a$ %#latan %er+#sat H. F6 iala$ selari"en!an (;.

Diagram Ab=ii? shows a circle with centre H. F6 is parallel to (;.

<ari nilai %a!i + "an y.

6ind the /alue o + and y.

? 2 ar'a$@

3 $ marks 5

a;a+an> nswer

J

8/17/2019 Sbp Trial Pt3 2015


1-- km2 jam dan 4- minit 62 hours and 4- minutes

/


,&- Raa$ 6 ,&- en#n#''an 'e"#"#'an ti!a %#a$ %an"ar

"an R. Diagram 6 ,&- shows the position o three towns, ,

and R.

)# ean"# 'eretana "ari 'e selaa 1 a "an 20 init. *ia %er$enti re$at

selaa 15 init "i an"ar se%el# ener#s'an +eralanan "ari 'e R "en!an +#rata la# 90 '>. it#n!'an +#rata la# "ala '> #nt#' 'esel#r#$an +eralanan"ari 'e R.

!u9y dri/es her car rom to or & hour and $% minutes. !he took a rest at town or &' minutes beore continues her journey rom to R with an a/erage speed o E%kmOh. )alculate the a/erage speed in kmOh, or the whole journey rom to R.

? 3 ar'a$ @

3 4 marks 5a;a+an> nswer

8/17/2019 Sbp Trial Pt3 2015



7 ,a- Len!'a+'an a"#al "i %a;a$.

)omplete the ollowing table below.

O.jek

Object

&ukisan

Drawing

$kala / Scale

1 * n

15 & 1 : 5

216 1:1

4

54 0.054 R

?3 ar'a$ @

3 4 marks5

a;a+an> nswer

/

J /

R /

8/17/2019 Sbp Trial Pt3 2015


TERHAD 2+ 50 / Matematik

,%- ,i- *en!an en!!#na'an +rotra'tor #'#r

∠! . #sin! a +rotra&tor eas#re ∠!

.

,ii- *ala raa$ 7,%- "i %a;a$ "i r#an! a;a+an "en!an en!!#na'an +e%aris"an an!'al#'is sa$aa %ina !aris !T "i ana !aris !T %erserenan! "en!an!aris R "an titi' T %era"a "i atas !aris R. )eter#sna #'#r +anan! "ala& !T .

In the diagram 0=b? below in the answer space, using only ruler and a pair o compasses, construct the line !T such that !T is perpendicular to the line Rand T lies on the line R. (ence, measure the length, in cm, o !T.

?4 ar'a$@

? 1 marks @

a;a+an>Ans;er:

,i- ∠! /

#9

Raa$> Diagram 7,%-

$

R

(anan! )> Gength o !T / &

8/17/2019 Sbp Trial Pt3 2015



,&- (er#"a$'an

!impliy

,i- y 2 × y−2

,ii- Nilai'an

F/aluate

1 1 1

12 2 × 32 × 92

?3 ar'a$@

34 marks5

a;a+an> nswer :

,i-

,ii-

8/17/2019 Sbp Trial Pt3 2015


3 marks8

(iii)

(i)

9O

(ii)


8 ,a- (a"a r#an! a;a+an la%el'an %a$a!ianE%a$a!ian %#latan.

In the answer space, label the parts o the circle.

?3 ar'a$@

,%- ar!a %a!i 6 %ii &a;an "an 4 %ii +in!!an iala$ RM132 ana'ala $ar!a %a!i 5 %ii&a;an "an 2 %ii +in!!an iala$ RM78. <ari $ar!a %a!i setia+ &a;an "an +in!!an.

The cost o A cups and 1 plates are RM&4$ while the cost o ' cups and $ plates are RM02. 6ind the cost o each cup and plate.

?4 ar'a$@

31 marks5

a;a+an> nswer<

8/17/2019 Sbp Trial Pt3 2015


TERHAD (0 50 / Matematik

: cm

$ir 6 ;ater

,&- Ga%araa$ 8,&- "i %a;a$ en#n#''an se%#a$ %e'as %er%ent#' '#%#s "en!an sisi

18 &. e'as it# "iisi "en!an se"i'it air. it#n! isi+a"# "ala &3 air an!

"i+erl#'an #nt#' een#$'an 7"ari+a"a %e'as it#.

9

The diagram 2=c? below shows a cube-shaped container with sides o &2 cm.The

container is illed with some water.)alculate the /olume ,in cm3 , o water needed to

illup

7o the container.

9

?3 ar'a$@

3 4 marks5

Ga%araa$> Diagram 8,&-

a;a+an> nswer<

8/17/2019 Sbp Trial Pt3 2015


x cm

r cm

$ %

(y ! r) cmy cm

.

ajah (a)6&iagram (a)

%uktikan baha<a 9

/ro=e that 3 markah8

3 marks8


9 ,a- ,i- a'tor'an 27a + 3

6actorise 27a + 3

A. 3,9a +1-

. 3,9a + 3-

<. 27,a +1-

*. 27,a + 3-

,ii- *ala Raa$ 9,a- +erentas * "en!an +anan! + & eoton! se%#a$

%#latan %ereari y & #nt#' e%ent#' s#at# te%eren! setin!!i r &. Hiala$ +#sat %#latan.

In Diagram E=a?, chord * with length + cm cut a circle o radius y cm to orma segment with height r cm. H is the centre o the circle.

a;a+an> nswer :

8/17/2019 Sbp Trial Pt3 2015



,%- (a"a Raa$ 9,%- "i r#an! a;a+an se!iti!a @@R@ iala$ ie %a!i se!iti!a R "i %a;a$ (enelaan M .

Hn Diagram E=b? in the answer space, triangle @@R@ is the image o triangle Runder Transormation M.

,i- Nata'an (enelaan M.

!tate the Transormation

M.

,ii- 7@ iala$ ie %a!i titi' 7 "i%a;a$ +enelaan an! saa. an"a'an titi' 7@ "an nata'an 'oor"inatna.

7@ is the image o point 7 under the same transormation. Mark and state thecoordinates o 7@. ?4 ar'a$@

31 marks5

a;a+an> nswer :

Raa$ 9,%-> Diagram E=b?

8/17/2019 Sbp Trial Pt3 2015


TERHAD (( 50 / Matematik

,&- Ke%an!'an setia+ #n!'a+an an! %eri'#t.

F+pand each o the ollowing e+pressions.

,i- 4 p ,6 − 5-7

,ii- ,2h + 5-,h−1-

?3 ar'a$@

34 marks5

a;a+an> nswer :

,i-

,ii-

8/17/2019 Sbp Trial Pt3 2015


TERHAD (, 50 / Matematik

10 ,a- Raa$ 10,a- iala$ !ra !aris an! ti"a' len!'a+ en#n#''an %ilan!an %#a$ "#rian an! "i#al ole$ Male'.

Diagram &%=a? is an incomplete line graph which shows the number o durians soldby Malek..

60

40

20

0

Isn/Mon Sel/Tue R abu/Wed Kha/Thu Jum/Fri

Bilangan urian/!umber o" urians

Raa$> Diagram 10,a-

,i- (a"a $ari #aat %ilan!an #alan %#a$ "#rian enin!'at se%ana' 100 %er%an"in! "en!an ari K$ais. Len!'a+'an !ra !aris "ala Raa$ 10,a-

Hn 6riday, the number o durians sold increased by &%%P compared toThursday. )omplete the line graph in Diagram &%=a?.

,ii- Nata'an $ari "i ana #la$ #alan "#rianna a"ala$ saa.

!tate the days that the number o durians sold are eual.

?3 ar'a$@

34 marks5

a;a+an> nswer :

8/17/2019 Sbp Trial Pt3 2015



,%- G#na 'ertas !ra an! tela$ "ise"ia'an #nt#' ena;a% soalan ini.

"se the graph paper to answer this uestion.

a"#al 10,%- en#n#''an nilaiEnilai "#a +e%ole$#%a$ + "an y %a!i s#at# #n!si.

Table &%=b? shows the /alue o two /ariables + and y o a unction.

x E 4 E 3 E 2 E 1 0 1 2

y 31 17 7 1 E 1 1 7

a"#al 10,%->Table &%=b?

(a'siE + "an +a'siE y tela$ "ise"ia'an +a"a 'ertas !ra.

The +-a+is and y-a+is are pro/ided on the graph.

,i- *en!an en!!#na'an s'ala 2 & 'e+a"a 5 #nit len!'a+'an "an la%el'an +a'siE y.

"sing a scale o $ cm to ' units, complete and label the y-a+is.

,ii- er"asar'an a"#al 10,%- +lot'an se#a titi' +a"a 'ertas !ra it#.

*ased on Table &%=b?, plot all the points on the graph paper.

,iii- )eter#sna l#'is !ra #n!si it#.

(ence, draw the graph o the unction.

?4 ar'a$@

31 marks5

8/17/2019 Sbp Trial Pt3 2015



a;a+an> nswer :

y

- 4 - 3 - 2 - 10

1 2 x

8/17/2019 Sbp Trial Pt3 2015


>

5 cm

3 cm y

/

x

cm

TERHAD (+ 50 / Matematik

,&- (a"a Raa$ 10,&- !R iala$ !aris l#r#s.Hn Diagram &%=c?, !R is a straight line.

*i%eri

;i/en

tan + = 3

4

tan + = 3

4

Raa$ 10,&-> Diagram &%=c?

8/17/2019 Sbp Trial Pt3 2015


,i- <ari +anan! "ala & R

6ind the length, in cm, o R

,ii- <ari nilai %a!i 'os y.

6ind the /alue o cos y. ?3 ar'a$@

3 3 marks5

a;a+an> nswer :

,i-

,ii-

%ERTA$ $OA&A" TAMAT

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Sbp Trial Pt3 2015