percubaan matematik spm
TRANSCRIPT
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1. Round off 0.0046548 correct to three.significant figures.
Bundarkan 0.0046548 betul kepada tiga angka bererti.
A 0.005
B 0.00470
C 0.00466
D 0.00465
2. 0.0369
(3×10−3)2=¿
A 4.1 ×10−9
B 1.23× 10−8
C 4.1 ×103
D 1.23× 104
3.Diagram 1 shos a rectangu!ar tan" containing 1.46 ×10
6cm
3
of ater.
Ra#ah 1 menun#u""an se$uah tang"i $er$entu" segiem%at te%at &ang mengandungi
1.46 ×106
cm3
air.
Diagram 1
Ra#ah 1
'i(en that the height of ater !e(e! is 1.61 ) 102 cm !ess than the height of the tan".
*ind the height+ in cm+ of the tan".
Diberi bahawa aras air ialah 1.61 ) 102 cm kurang daripada tinggi tangki.
Cari tinggi, dalam cm+ tangki tersebut.
A 9.01 ×10
B 2.51× 10
C 1.15× 10
D 2.61×10
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4. ,)%ress 460- as a num$er in $ase fi(e.Ungkapkan 460 sebagai satunombor dalam asas lima.
A 1305
B 3045
C 22045
D 33205
5.'i(en that
10112+10011
2=k
2+111
2 + find the (a!ue of ".
Di$eri $ahaa1011
2+10011
2=k
2+111
2 + cari ni!ai ".
A 1111
B 10111
C 11110
D 100101
6. Diagram 2 shos a regu!ar he)agon /R and a "it .
Ra#ah 2 menun#u""an se$uah he"sagon se"ata /R dan !e!a&ang .
Diagram 2
Ra#ah 2
*ind the (a!ue of x .
Cari ni!ai x .
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A120 °
B 111°
C99 °
D 78 °
7. n Diagram 3+ / is a regu!ar %entagon and R is a rhom$us. /R is a triang!e and
R is a straight !ine.
Da!am Ra#ah 3+ / ia!ah se$uah %entagon se"ata dan R ia!ah se$uah rom$us.
/R ia!ah se$uah segitiga dan R ia!ah garis !urus.
Diagram 3
Ra#ah 3
*ind the (a!ue of x+ y .
Cari ni!ai $agi x+ y
.
A72°
B 108 °
C117 °
D 126 °
8. Diagram 4 shos to circ!es ith centre and /. R is the common tangent of $oth circ!es
at .
Ra#ah 4 menun#u""an dua $uah $u!atan dengan %usat dan /. R ia!ah tangent se%un&a
$agi "eduadua $u!atan %ada .
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*ind the (a!ue of x
and of y
.
Cari ni!ai x
dan ni!ai y
.
A x=64, y=26
B x=64, y=32
C x=58, y=26
D x=58, y=32
9. n Diagram 5+ he)agon is the image of he)agon R under a rotation of x °
c!oc"ise
a$out centre .
Da!am Ra#ah 5+ he"sagon ia!ah ime# $agi he"sagon R di $aah suatu %utaran x ° i"ut
arah #am %ada %usat .
Diagram 5
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Ra#ah 5
he (a!ue of x
and the coordinates of are
i!ai $agi x dan "oordinat $agi ia!ah
x
A 90 :4+7;
B 90 :7+4;
C 270 :4+7;
D 270 :7+4;
10. Diagram 6 shos fi(e %o!&gon /R+ + + ,*' and ?@ dran on suare
grids.
Ra#ah 6 menun#u""an !ima $uah %o!&gon /R+ + + ,*' dan ?@ &angdi!u"is %ada grid segi em%at sama.
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11. Diagram 7 shos the straight !ine /
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A B
C D
15. Diagram 9 shos three (ertica! %o!es /+ and R on a horiFonta! %!ane.
Ra#ah 9 menun#u""an tiga $atang tiang tega" /+ dan R %ada satah mengufu".
Diagram 9
Ra#ah 9
'i(en that the ang!e of e!e(ation of %oint from R is 43E and the ang!e of de%ression of
%oint / from is 20E. *ind the height+ in m+ of /.
Di$eri $ahaa sudut donga"an titi" dari R ia!ah 43E dan sudut tundu" titi" / dari ia!ah
20E. Cari tinggi+ da!am m+ /.
A 2.75 B 2.84 C 3.26 D 4.30
16. Diagram 10 shos three %oints /+ and R on a horiFonta! %!ane.
Ra#ah 10 menun#u""an tiga titi" /+ dan R %ada suatu satah mengufu".
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Diagram 10
Ra#ah 10
t is gi(en that ∠R/is 30E and $earing / from R is 330E. *ind the $earing of / from .
Di$eri $ahaa∠R/ia!ah 30E dan $earing / dari R ia!ah 330E. Cari $earing / dari .
A 075E B 105E C 210E D 255E
17. n Diagram 11+ is the orth /o!e+ is the outh /o!e and is the a)is of the earth.
Da!am Ra#ah 11+ ia!ah utu$ tara+ ia!ah utu$ e!atan dan ia!ah %a"si $umi.
Diagram 11
Ra#ah 11
*ind the %osition of %oint .
Cari "edudu"an $agi titi" .
A :23E+ 15E,; :23E+ 15E; B :23E+ 55E,; :23E+ 55E;
C :67E+ 15E,; :67E+ 15E ; D :67E+ 55E,; :67E+ 55E;
18. :3m G 3;:1 H n; H :6 H m;:n H 3;
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A 6m H 4mnH 9n H15
B 6m H 4mnH 9n G 21
C 21H 2mnH 9n
D 21G 2mnH 9n
19.,)%ress
3 m−nmn
−6−n2n as a sing!e fraction in its sim%!est form.
ng"a%"an3 m−n
mn −
6−n2n se$agai satu %ecahan tungga! da!am $entu" termudah.
Am−2
2m B – m−2
2 m
Cm−1
m Dm−12 m
20.'i(en that
r
3−
s
2=
r
s +e)%ress r in terms of s.
Di$eri $ahaar
3−
s
2=
r
s + ung"a%"an r da!am se$utan s.
Ar= 3 s
2(s−3) Br= 3 s
2
2(s+3)
Cr=
3 s
2(s+3) Cr=
3 s2
2(s−3)
21.'i(en that
3 r−25
=6−(r−4)+ find the (a!ue of r .
Di$eri $ahaa3 r−2
5=6−(r−4)
+ cari ni!ai $agi r.
A3
2 B 6
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C13
2 D 9
22. im%!if& I
Ring"as"anI :e J3 ;2 K e 4
A e J5 B e J2 C e 3 D e 13
23. im%!if& I
Ring"as"anI
√ m
3
n2
m2n−3
A mn4
Bn
8
m Cn4√ m D
n4
√ m
24. he so!ution for 2) J 4 L 5 2 3 G ) is
/en&e!esaian $agi 2) J 4 L 5 2 3 G ) ia!ah
A ) M 13 B ) L 13 C ) M 18 D ) L 18
25. Nist a!! the integers of ) that satisf& $oth the ineua!ities
4 J 3) M 10 and x2+3 ≥2 x
enarai"an semua integer ) &ang memuas"an "eduadua "eta"samaan
4 J 3) M 10 dan x
2+3 ≥2 x
A J1+ 0+ 1 B J2+ J1+ 0+ 1 C J1+ 0+ 1+ 2 D J2+ J1+ 0+ 1+ 2
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26. =hich of the regions+ A+ B+ C or D+ satisfies a!! the ineua!ities & O 2 +5 & P 2) G10 and
& G ) L 2
Antara rantau + A+ B+ C atau D+ &ang mana"ah memenuhi semua "eta"samaan & O 2 +5
& P 2) G10 dan & G ) L 2
27. Diagram 12 is a !ine gra%h hich shos itiQs month!& internet $i!! for fi(e months.
Ra#ah 12 ia!ah graf garis &ang menun#u""an $i! internet $u!anan iti $agi !ima $u!an.
Diagram 12
Ra#ah 12
Ca!cu!ate the mean $i!!s for fi(e months.
?itung"an min $i! $agi !ima $u!an terse$ut.
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A R125 B R100 C R90 D R50
28. Diagram 13 is a %ie chart shoing the sa!e of coconuts in fi(e da&s.Ra#ah 13 ia!ah carta %ai &ang menun#u""an hasi! #ua!an "e!a%a da!am tem%oh !ima hari.
Diagram 13
Ra#ah 13
he sa!e on hursda& is 20 of the tota! sa!es. f the num$er of coconuts so!d on onda&
and =ednesda& are the same+ ca!cu!ate the tota! %ercentage of coconut so!d on =ednesda&
and *rida&. ?asi! #ua!an %ada hari hamis ia!ah 20 dari%ada #um!ah "ese!uruhan #ua!an.
@i"a $i!angan "e!a%a &ang di#ua! %ada hari snin dan Ra$u ada!ah sama+ hitung"an #um!ah
%eratus #ua!an "e!a%a %ada hari Ra$u dan @umaat.
A 60 B 55 C 40 D 30
29. a$!e 1 shos the scores o$tained $& a grou% of 60 students in an test.
@adua! 1 menun#u""an s"or $agi 60 orang %e!a#ar da!am suatu u#ian .
a$!e 1
@adua! 1
he moda! c!ass of the scores of the students in the test is
e!as mod $agi s"or %e!a#ar da!am u#ian ia!ah
A 0 J 4 B 5 J 9 C 10 J 14 D 15 J 19
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C D
33. Diagram 14 is a
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Diagram 15
Ra#ah 15
Ca!cu!ate the gradient of /.
ira "ecerunan $agi /.
A−4
3 B−2
3 C−3
4 D−3
2
36. a$!e 2 shos the distri$ution of fruits in a $as"et.
@adua! 2 menun#u""an ta$uran $uah$uahan da!am se$uah $a"u!.
a$!e 2
@adua! 2
A fruit is chosen random!& from the $as"et. he %ro$a$i!it& of getting an orange is5
9 .
*ind the (a!ue of F.
e$i#i $uah di%i!ih secara raa" dari $a"u! terse$ut. e$arang"a!ian untu" menda%at oren
ia!ah5
9 . Cari ni!ai $agi F.
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A 18 B 25 C 28 D 30
37.a$!e 3 shos some (a!ues of the (aria$!es %+ and r hich satisf& % ∝
1
qr .
@adua! 3 menun#u""an $e$era%a ni!ai $agi %em$o!ehu$ah %+ dan r &ang memenuhi %∝
1
qr .
a$!e 3
@adua! 3
Ca!cu!ate the %ossi$!e (a!ue of ). ?itung"an ni!ai &ang mung"in $agi ).
A 1 B 2 C 3 D 4
38. t is gi(en that (aries direct!& as the suare root of % and in(erse!& as g. f 6+ % 16 and
g 24+ ca!cu!ate the (a!ue of g hen 1
2 and % 9.
Di$eri $ahaa $eru$ah secara !angsung dengan %unca "uasa dua % dan secara songsang
dengan g. @i"a 6+ % 16 dan g 24+ hitung ni!ai g a%a$i!a 1
2 dan % 9.
A 36 B 54 C 216 D 648
39.
2 (3 45 −1)−(1 −27 0 )=¿
A
( 2 6
−2 −1) B
(5 6
3 −1
) C
( 4 12
−4 −2) D
(5 10
3 −2)40.
'i(en
¿8 0
−4 k 5k 3(¿)=(36 15)
¿
+ ca!cu!ate the (a!ue of ".
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Di$eri
¿8 0
−4 k 5k 3(¿)=(36 15)
¿
+ hitung"an ni!ai ".
A 9 B−15
4 C9
2 D 9