matematik kertas1

7/25/2019 Matematik kertas1

http://slidepdf.com/reader/full/matematik-kertas1 1/14

(KERTAS 1)

1. Bundarkan 3186 betul kepada dua angka bererti.

Round off 3186 correct to two significant figures.

A 3000 C 3190B 3100 D 3200

2. Ungkapkan 0.00834 dalam bentuk piawai.

Express 0.00834 in standard form.

A8.34 Error: Reeren!e "our!e not

ound 10 # 3 C8.34 Error: Reeren!e "our!e not

ound 10 2

B8.34 Error: Reeren!e "our!e not

ound 10 # 2 D8.34 Error: Reeren!e "our!e not

ound 10 3

3. Error: Reeren!e "our!e not ound $

A 2.82 Error: Reeren!e "our!e not

ound 10 %

C 1.41 Error: Reeren!e "our!e not

ound 10 # %

B 2.82 Error: Reeren!e "our!e not

ound 10 # %

D 1.41 Error: Reeren!e "our!e not

ound 10 %

4 Ra&a' 1 menun&ukkan "ebua' tangki ko"ong berbentuk kuboid berukuran 600 !m pan&ang( %00 !m lebar dan 400 !m tinggi.

Diagram 1 shows an empty tank, which is a cuboid, with ength 6!! cm, width "!! cm

and height #!! cm.

Ra&a' 1 )

Diagram 1

*eorang peker&a mema"ukkan air ke dalam tangki itu "e'ingga 40+ penu'.

,itung i"ipadu( dalam !m3( air dalam tangki itu.

$ worker fis up #!% of the tank with water.

&acuate the 'oume, in cm3 , of the water in the tank.

A4.8 Error: Re eren!e "our!e not ound

10 -

C 4.8 Error: Reeren!e "our!e not ound

10 9

B1.2 Error: Reeren!e "our!e not ound

10 8 D6 Error: Reeren!e "our!e not ound

10 4

% alam ra&a' 2( /R* iala' "ebua' pentagon "ekata. U*( R dan * iala' gari"

luru".

52

400 !m

%00 !m

600 !m



(KERTAS 1)

(n diagram ), *+R- is a reguar pentagon. /, -R/ and 0- are straight ines.

Ra&a' 2 ) Diagram )

ari nilai .

ind the 'aue of .

A 680C 980

B 860D 1220

6. Rajah 3 menunjukkan sebuah oktagon sekata KLMNPQRS. PTS ialahsebahagian sisi bagi sebuah poligon sekata.

Diagram 3 shows a regular octagon KLMNPQRS. PTS is part of the sides for aregular polgon.

Ra&a' 3 ) Diagram 3

ari bilangan "i"i bagi poligon itu.

ind the number of sides of the poygon.

A 8 C 10

53

y x +

y x +

W

Q

500

SU

T

0 x

0 y

R

PZ



(KERTAS 1)

B 9 D 12

- iberi 35 $ % 7 1( maka $

2i'en that 3x "y 4 1, then y

A C

B D

8 iberi p $ 27 r 2( p $ – % dan r $ 1( !arinilai .

!i"en that p # $r %& p # –' and r # (& )nd the "alue of *.

A 2 C 4

B 3 D 9

9 /ermuda'kan

impify .

A C

B D

10. Ra&a' 4 menun&ukkan "ebua' "egi tiga "ama kaki dan "ebua' "egi empat "ama.

Diagram # shows a isoscees triange and a s5uare.

Ra&a' 4 ) Diagram +

Ungkapkan perimeter( dalam !m( "eluru' ra&a' dalam "ebutan t dan "

Express the perimeter, in cm, of the whoe diagram in terms of t and s

A -t + 12 s C -t + 9 s

B 14t + 12 s D 14t + 9 s

11. Ringkaskan .

54

3 1

%

x+ 3 1%

x −

1% 1

%

x+ 1% 1%

x −

2 5r

3 )

)

7 ) k 8.

k 3k +3 2

2

:2 ;

3

k

k k +

22

3

k %4

3

k

k +24

3

k

k +

%2

3

k

k +

243

2

3

1

3

;%2:

;%2:

−

×

×



(KERTAS 1)

impify

A

C

BD

12. Ringkaskan .

impify .

A C

B D

13. Ringkaskan

impify

A

C

B

D

55

243

2

3

1

3

;%2:

;%2:

−

×

×

-3%2

−×

11%2

−−×

92 %2 × 91

%2 ×−

( ) 3

3 2 2 %13

3m n m n− −

×

( ) 3

3 2 2 %13

3m n m n− −

×

-

3

−

m

12

3

−

nm-

9 −

m nm-

9 −

421

2

;2:

8

p5

5 p

421

2

;2:

8

p5

5 p

8

25 p

2

25 p

5 p2

2

1

5 p2

4



(KERTAS 1)

14 Ra&a' % menun&ukkan gambar ra&a'

<enn dengan "et "eme"ta ( . Diagram " shows a 9enn diagram with the

uni'ersa set, .

Ra&a' % ) Diagram "

*et adala' "etara dengan "et et is e5ui'aent to set

A = C >

B

D>?

1% Ra&a' 6 menun&ukkan bilangan

un"ur dalam "et * ( "et + and "et R. iberi "et "eme"ta( dan $ 28.

Diagram 6 shows the number of

eements in set *, set + and set R. 2i'en the

uni'ersa set, and )8.

Ra&a' 6 ) Diagram 6

@ilai bagi 5 iala'

-he 'aue of x is

A

A 6 C 4

B % D 3

56

: ; ∪=ξ : ; ∪=ξ

: ; ′∩′ : ; ′∩′

φ

R+ * ∪∪=ξ ( )ξ n

( )ξ n R+ * ∪∪=ξ

, -

3

7 4 3x x-2

P

QR



(KERTAS 1)

16 Ra<ah = iaah satu gambar ra<ah 9enn yang menun<ukkan set E, set dan set 2.

Diagram = is a 9enn diagram that shows set E, set and set 2.

>awasan berorek diwakikan oeh

-he shaded region is represented by

A E ′ ∪ ′ ∪ 2 ′ C E ∩ ∩ 2

B E ′ ∩ 2 ′ ∩ ′ D E ′ ∪ 2 ′ ∪

1- Ra&a' 8 menun&ukkan 'ubungan di antara "et ( "et dan "et C.

Diagram 8 shows the reation between set , set ? and set >.

Ra&a' 8 ) Diagram 8

iberi n; $ 40( n D C; $ %( n; $ 18 dan n C;? $ 8.

,itung bilangan un"ur dalam rantau berlorek.

2i'en n7 #!, n7? @ > ", n7? 18 and n7? >A 8.

&acuate the number of eements in the shaded region.

A 9 C 19

57

ξ

ξ

ξ

ξ

ξ

KJ

Rajah 7 / Diagram 7

/0

!



(KERTAS 1)

B 14 D 24

18

Ra&a' 9) Diagram B

Ra&a' 9 menun&ukkan gabungan "ebua' pepe&al ang terdiri daripada piramid tegak dan

kuboid. i beri tinggi piramid iala' 4 !m( 'itung i"ipadu bagi pepe&al ter"ebut dalam

!m3.

Diagram B shows a soid comprising of a right pyramid and a cuboid. 2i'en that the

height of the pyramid is # cm, cacuate the 'oume of the soid in cm 3.

A 290 C 330

B 310 D 360

19 nta!a "ang be!ikut# "ang manakah satu pe!n"ataan$

1hich of the following is a statement2

A 3 iala' aktor bagi 30 C p + * = %4

3 is a factor of 3!

B 4 7 % D 43;2

20 &'ika "( ) *%# maka " ) 4.+

4f % = (5& then = +.6

pakah akibat bagi implikasi ,i atas$

1hat is the conse*uent of the implication a7o"e2

AA 2 $ 16 C 2 $ 8

B $ 4 D $ 2

21 Sebutan kelima bagi sena!ai nombo! be!ikut ialah

The )fth term of the num7er se*uence is

*3) *5 – (-*(

/ ) *5 – (-(( 3 ) *5 – (-3(

58

1m

% 1m

5 1m



(KERTAS 1)

22222

22222

A −1- C 3%

B 1- D −3%

Soalan (( ,an (3 a,alah be!,asa!kan 'a,ual *.

Question %% and %3 are 7ased on Ta7le (.

elas

lass

5a, ba6ah

7o6e! limit

5a, atas

Uppe! limit

Sempa,an

ba6ah 7o6e!

boun,a!"

Sempa,an atas

Uppe! boun,a!"

Sai8 kelas

lass si8e

(.4 9 3.3 8 9 : D /

3.4 9 4.3 ; 1 , - <

adual 1 ) -abe 1

22 ari nilai

ind the 'aue of &

A (.30 C (.40B (.35 D (.45

A

23 pakah nilai Z$

/hat is the 'aue of 0

A 0.:5 C 0.5

B 0.0 D *.00

Soalan (4 hingga (5 a,alah be!,asa!kan Rajah *0.Questions %+ to %' are 7ased on Diagram (=.

istog!am ,alam Rajah *0 menunjukkan masa "ang ,iambil ,alam satupe!lumbaan amal bagi 30 o!ang pese!ta.

The histogram in Diagram shows the time ta>en in a charit race of 3= participants.

Rajah 10 / Diagram10

59



(KERTAS 1)

24. pakah kelas mo, itu$

1hat is the modal class2

A(0 9 (5

C(* 9 (5

B (0 9 (% D (* 9 (%

2%. ;in masa# ,alam minit# bagi tabu!an itu ialah

The mean time& in minutes& of the distri7ution is

A (*.%3 C *.::

B ((.:3 D (3.43

26 *ele"aikan per"amaan kuadratik 32 7 3 # 10 $ 2 # 2

o'e the 5uadratic e5uation 32 7 3 # 10 $ 2 # 2

A $ # 3( # Error: Reeren!e "our!e

not oundC

$ # 3( Error: Reeren!e "our!e not

ound

B $ 3( # Error: Reeren!e "our!e not

oundD

$ 3( Error: Reeren!e "our!e not

ound

2- aktorkan "elengkapna 252 # 18.

actorise competey )52 # 18.

A 5 # 3;25 7 6; C 252 # 9;

B 25 7 3;5 # 3; D 25 # 6;5 7 3;

28 Ra&a' 11 menun&ukkan "ebua' pri"ma dengan tapak menguuk "egi empat /R*.

Diagram 11 shows a prism with a horiConta rectanguar base *+R.

Ra&a' 11 ) Diagram 11

*udut di antara gari" R dengan "ata' /R* iala'

60



(KERTAS 1)

-he ange between ine -R and the pane *+R is

A R*U C RF

B RF D R/

29. Rajah *( menunjukkan sebuah kuboi, ,engan tapak mengu<uk =>.

Diagram (% shows a cu7oid with a ?at hori@ontal 7ase 89:D.

Ra&a'

12 )

Diagram1)

?amakan su,ut ,i anta!a satah =P ,engan satah =QR .

Name the angle 7etween the plane :9P and the 7ase :9QR.

G Hra" : *eder'anaA

A R/ C /B

B /B D B/

30.

ind t'e euation o t'e "traig't line E .

&ari persamaan garis urus E.

61

∠ ∠

∠ ∠

SR

Q P

DC

B A

•

•

/-9 *#

3

0 -%# 9 *

A



(KERTAS 1)

A - y $ # 4 x 7 1- C

B - y $ # 4 x 7 2% D

31. iberi ( !ari nilai .

2i'en , find the 'aue of.

A

A 3 C 12

B 8 D 24

32. Ungkapkan 1101012 "ebagai "atu nombor dalam a"a" lapan.

Express 11!1!1) as a number in base eight.

A 6-8 C 4-8

B 6%8 D 4%8

33. pakah nilai bagi (4 + ( + (5# sebagai satu nombo! ,alam asas ,ua$

1hat is the "alue of %+ + % + %'& as a num7er in 7ase two2

A **00*0( C **0000(

B *0*0*0( D *0**00(

34. 1101012 # 11112 $

A 1100102 C 1001102

B 1001002 D 1101102

3%. 10110 7 1011 $

A 100001 C 101001

62

-

19

-

2+−= x y

1--

4+−= x y

834 %603112868% =++×+× p p

8

34 %603112868% =++×+× p p

22

2 2



(KERTAS 1)

B 110001 D 110101

36. Hntara gra ang berikut( ang manaka' mewakili y $ I9 x 7 9

/hich of the foowing graphs represents y Bx 4 B

A C

B D

63

2 2



(KERTAS 1)

3-. Hntara gra ang berikut( ang manaka' mewakili y $ 8 I x2

/hich of the foowing graphs represents y 8 x)

A C

B D

38. Ra&a' 13 menun&ukkan lima bua' "egi tiga diluki" pada grid "egi empat "ama.

Diagram 1 3 shows fi'e trianges drawn on s5uare grids.

Ra&a' 13 )

Diagram 13

Hntara "egi tiga H( B( atau ( ang manaka' ime& bagi "egi tiga / di bawa'

tran"la"i Error: Re eren!e "our!e not ound

/hich of the four trianges $, , & or D, is the image of the triange * under a

transation ErrorF Reference source not found

39 Ra&a' 14 menun&ukkan dua "egi tiga diluki" pada grid "egi empat "ama. Diagram 3 shows two trianges drawn on s5uare grids.

Ra&a' 14 ) Diagram 1#

* iala' ime& bagi R di bawa' "atu pembe"aran dengan aktor "kala 2.

Hntara titik H( B( atau ( ang manaka' pu"at pembe"aran itu

is the image of R under an enargement with scae factor ).

/hich of the points $, , & or D, is the centre of the enargement

64



(KERTAS 1)

40. Ra&a' 1% menun&ukkan dua "i"i empat diluki" pada grid "egi empat "ama.

Diagram 1" shows two 5uadriateras drawn on s5uare grids.

Ra&a' 1% )

Diagram 1"

R iala' ime& bagi / di bawa' "uatu pantulan.

Hntara gari" luru" H( B( atau ( ang manaka' adala' pak"i pantulan

R is the image of * under a refection.

/hich of the ines $, , & or D, is the axis of refection

65

matematik kertas1

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