percubaan Matematik SPM

8/16/2019 percubaan Matematik SPM

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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

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