maths form 3 paper 2.doc

8/20/2019 Maths Form 3 Paper 2.doc

1/15

50/2

Matematik

Kertas 2

Mei

2006

13

4 jam

SULIT 1 50/2

SEKTOR SEKOLAH BERASRAMA PENUH

KEMENTERIAN PELAJARAN MALASIA

PEPERIKSAAN PERTEN!AHAN TAHUN SELARAS SBP

TIN!KATAN "

2006

Kertas soalan ini mengandungi 15 halaman bercetak

#Li$at se%e&a$

50/2 © 2006 Hak Cipta ektor !" SULIT

MATEMATIK

Kertas 2

atu jam empat puluh lima minit

JAN!AN BUKA KERTAS SOALAN INI

SEHIN!!A 'IBERITAHU

1. Tuliskan nama dan tingkatan anda pada

ruang yang disediakan

2. Kertas soalan ini adalah dalam bahasa Inggeris

3. Kertas soalan ini mengandungi 20

soalan.

4. Jawab sem(a soalan.

5. Jawapan hendaklah ditulis pada ruang

yang disediakan dalam kertas soalan.

Kertas soalan ini hendaklah diserahkan

pada akhir peperiksaan.

. Tun!ukkan langkah"langkah penting. Ini

boleh membantu anda untuk

mendapatkan markah.#. $a!ah yang mengiringi soalan tidak

dilukiskan mengikut skala ke%uali

dinyata.

&. 'arkah yang diperuntukkan bagi setiap

soalan ditun!ukkan dalam kurungan.

(. )nda ti)ak boleh menggunakan

kalkulator.

#uru "emeriksa

oalan $arkah"enuh

$arkah%iperoleh

1 2

2 2

3 3

4 3

5 2

6 3

& 2' 2

( 4

10 2

11 3

12 3

13 3

14 5

15 6

16 3

1& 2

1' 3

1( 3

20 4

)umlah

*ama + ,,,,,,,,,,,--

.ingkatan + 3 ,,,---,,,,,


2/15

SULIT 2 50/2

.he /olloing /ormulae ma be help/ul in ansering the uestions- .he smbols gien are the ones

commonl used-

RELATIONS

1 m n m na a a +× =

2 m n m na a a −÷ =

3 m n mna a=

4 %istance 2 22 1 2 1 * * y y− + −

5 $idpoint

7 * y +

2

21 * *

7 +

2

21 y y

6 8erage speed distance traelled

time taken

&sum o/ data

$ean number o/ data

' "thagoras .heorem2 2 2% a b= +

SHAPE AN' SPA*E

1 8rea o/ rectangle length × idth

2 8rea o/ triangle 1

base height2

× ×

3 8rea o/ parallelogram base height×

4 8rea o/ trape9ium 1

sum o/ parallel sides height2

× ×

50/2 SULIT


3/15

SULIT " 50/2

5 Circum/erence o/ circle 2d r π π =

6 8rea o/ circle 2r π

& Cured sur/ace area o/ clinder 2 rhπ

' ur/ace area o/ sphere 24 r π

( :olume o/ right prism cross sectional area × length

10 :olume o/ cuboid length × idth × height

11 :olume o/ clinder 2r hπ

12 :olume o/ cone 21

3r hπ

13 :olume o/ sphere 34

3r π

14 :olume o/ right pramid 1

3× base area × height

15 um o/ interior angles o/ a polgon 2 1'0n − × o

16arc length angle subtended at centre

circum/erence o/ circle 360=

o

1&area o/ sector angle subtended at centre

area o/ circle 360=

o

1' cale /actor7 k +)

+)

′

1( 8rea o/ image 2 area o/ objectk ×

#Li$at se%e&a$

50/2 SULIT


4/15

,or

-*aminers/se

SULIT + 50/2

)nswer a&& uestions.

1 Calculate the alue o/ 32 24 3 2− + × - ;2 marks<

)nswer

2 Calculate the alue o/3 1

0-6 15 2

− + − − ÷

and e=press the anser as a decimal-

;2 marks<

)nswer

50/2 SULIT

2

2

2

1


5/15

,or

-*aminers/se

SULIT 5 50/2

" a >ind the alue o/

3

11

3

− ÷

b Calculate the alue o/ 2 33 64+ −

;3 marks<

)nswer

a

b

+ impli/2 2

10 105

k m k mk k m

+ −×−

-

;3 marks<

)nswer +

#Li$at se%e&a$

50/2 SULIT

3

"

3

+


6/15

,or

-*aminers/se

SULIT 6 50/2

5 %iagram 1 in the anser space shos to points , and marked on a grid o/ eual

suares ith sides o/ 1 unit-

a "oint # is the image o/ point > under a certain translation- %escribe the

translation-

b Hence7 on the same diagram7 mark the image o/ point H under the same

translation

;2 marks<

)nswer

a

b

6 impli/2 3 3 6 42 3 h h− −× -

;3 marks<

)nswer

50/2 SULIT

2

5

,

%?8#@8$ 1

•

•

•

3

6


7/15

,or

-*aminers/se

SULIT , 50/2

& %iagram 2 in the anser space shos a triangle -, ith a=is o/ re/lection )- An

the diagram in the anser space7 dra the image o/ triangle -, under a re/lection

on the a=is )-

;2 marks<

)nswer

' impli/23 4 ' 3 y y y+ − + -

;2 marks<

)nswer

#Li$at se%e&a$

50/2 SULIT

2

-

)

,

-

%?8#@8$ 2 2

,


8/15

,or

-*aminers/se

SULIT - 50/2

. %iagram 3 shos a Cartesian plane- Buadrilateral 6 is the image o/ uadrilateral + under

trans/ormation J -

%escribe in /ull the trans/ormation J -

;4 marks<

)nswer

50/2 SULIT

4

.

%?8#@8$ 3

0 2 4 6 ' 10

2

4

6

'

10

+

6

y

*


9/15

,or

-*aminers/se

SULIT . 50/2

10 7et suares and protra%tors are not allowed or this uestion.

sing the circle gien in the anser space belo7 construct a regular he=agon-

;2 marks<

)nswer

11 >actorise completel +

a 2 26 3 pr p r +

b 216 64m −

;3 marks<

)nswer

a

b

#Li$at se%e&a$

50/2 SULIT

2

10

3

11

•


10/15

,or

-*aminers/se

SULIT 10 50/2

12 ole each o/ the /olloing euations+

a 15 & 2m m− = −

b1

' ( 12 163

k k − + =

;3 marks<

)nswer

a

b

1" #ien that 28 p

r p

−= - D=press p in terms o/ r and 8-

;3 marks<

)nswer

50/2 SULIT

3

12

3

1"


11/15

,or

-*aminers/se

SULIT 11 50/2

1+ %iagram 4 in the anser space shos a uadrilateral )9:- Eoci o/ points + 7 6 and $

are inside the uadrilateral-

a Construct

i locus o/ the point + such that +9 +:

ii locus o/ the point 6 such that 6 5-5 cm

iii locus o/ the point $ such that $ is euidistant /rom ) and ):

b $ark all the possible positions o/ the intersection o/ the loci o/ point + and

point 6 ith smbol ⊗

;5 marks<

)nswer

#Li$at se%e&a$

50/2 SULIT

5

1+

)

9 :

%?8#@8$ 4


12/15

,or

-*aminers/se

SULIT 12 50/2

15 %iagram 5 shos a triangle +6$-

a sing onl a ruler and a pair o/ compasses7 construct %iagram 5 using the

measurements gien7 beginning /rom the straight line +6 proided in the anser

space-

b Construct the perpendicular line /rom + to $6 and measure its distance-

;6 marks<

)nswer

50/2 SULIT

6

15

+

$

6

%?8#@8$ 5

135°

' cm

6 +


13/15

,or

-*aminers/se

SULIT 1" 50/2

16 #ien that 32 1m+ = - >ind the alue o/ m-

;3 marks<

)nswer

1, #ien that+ 3 + 2h k =

and+ 4 + 5k m =

- >ind the ratio o/+ +h k m

-

;2 marks<

)nswer

#Li$at se%e&a$

50/2 SULIT

3

16

2

1,


14/15

,or

-*aminers/se

SULIT 1+ 50/2

1- .able 1 shos the number o/ olunteers /rom /our societies ho helped the ictims o/ the

.sunami disaster-

ociet#ender

$ale >emale

@ed Crescent ociet @C 23 15

t )ohnFs 8mbulance )8 30 5

!osF cout ! 32 15

Cadet Corps CC 35 10

sing the in/ormation proided in .able 17 complete the bar chart gien in the anser

space belo-

;3 marks<

)nswer

50/2 SULIT

3

1-

.8!ED 1

@C

10

20

30

40

50

0

$ale

>emale

ociet

* u m b e r o / 3 o l u n t e

e r s


15/15

,or

-*aminers/se

SULIT 15 50/2

1. D=press2 6

4 12

r r

s rs

−− as a single /raction in its simplest /orm-

;3 marks<

)nswer

20 ?n %iagram 67 5 congruent circles are arranged such that the touch each other and the

sides o/ the rectangle )9: as shon belo-

?/ the radius o/ a circle is1

32

cm7 /ind the area7 in cm27 o/ the shaded area-

se22

&π =

;4 marks<

)nswer

EN' O UESTION PAPER

#Li$at se%e&a$

50/2 SULIT

4

20

%?8#@8$ 6

)

9 :

3

1.

maths form 3 paper 2.doc

Documents