matematik kertas1
TRANSCRIPT
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(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
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(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
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(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:
−
×
×
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(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
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(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
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(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
!
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(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
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(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
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(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
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(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
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(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
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(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
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(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
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(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