soalan matematik tingkatan 4 pertengahan tahun kertas 2 doc (1)

8/17/2019 Soalan Matematik Tingkatan 4 Pertengahan Tahun Kertas 2 Doc (1)

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1. The Venn diagram in the answer space shows set P, set Q and set R. Givenx = P ÈQ È R. On the diagrams provided, shadeGambar raah Venn di r!ang awapan men!n!""an set P , set Q dan set R.. #iberix = P ÈQ È R . Pada raah di r!ang awapan ,$ore""an%nswer&' (awapan&

) *o$ve the +!adratic e+!ation x = - ))x / 0*e$esai"an persamaan "!adrati" x = - ))x / 0

a0 2omp$ete the 3o$$owing statement !sing the +!anti4er 5a$$5 or 5some5, toma"e it a tr!e statement.6eng"ap"an pern7ataan beri"!t dengan meng!na"an peng"!antiti 8sem!a9 ata!9:sebi$angan9 !nt!" menadi"an pern7ataan ini benar.

................ even n!mbers are m!$tip$e o3 ;.


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b0 rite down two imp$ications based on the 3o$$owing compo!nd statement& T!$is d!a imp$i"asi berdasar"an pern7ataan beri"!t&

8x - 7 > ? i3 and on$7 i3 x > 7 98x - 7 > ? i"a dan han7a i"a x > 7 8


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6!as da$am cmF bagi "awasan ber$ore". H @ar"s I

A. Tab$e 1 shows the speed o3 cars recorded that move a$ong Jang T!ahJighwa7 in the partic!$ar period o3 time.

(ad!a$ 1 men!n!""an men!n!""an $a! "eretaK"ereta 7ang dicatat"an me$a$!i 6eb!hRa7aJang T!ah da$am s!at! ang"amasa tertent!.

Tab$e 1' (ad!a$ 1

a0 *tate the moda$ c$ass.L7ata"an "e$as mod.

b0 2omp$ete Tab$e in the answer space, hence ca$c!$ate the range o3 thespeed o3 the car.6eng"ap"an (ad!a$ 1 di r!ang awapan, seter!sn7a hit!ng"an !$at $a! "eretait!..

(ad!a$


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#iagram D shows two straight $ines M6 and O@ which are drawn on a 2artesianp$ane. M6 is para$$e$ to O@ and @6 is para$$e$ to xKaxis.Raah D men!n!""an d!a garis $!r!s M6 dan O@ 7ang di$!"is di atas satah 2artesan. M6se$ari dengan O@ dan @6 se$ari dengan xKaxis.

Nind2ari"ana0 the coordinates o3 6"oordinat 6b0 the e+!ation o3 the straight $ine M6.persamaan garis $!r!s bagi M6c 0 the xK intercept o3 the straight $ine M6pintasanKx bagi garis $!r!s M6. H mar"s I H mar"ah I

%nswer&' (awapan&a0 b0 c0

*ection C;B mar"sI%nswer a$$ +!estions in this section.

(awab sem!a soa$an da$am bahagian ini

1. a0 Given that tan x = 1.1 and A?o x D?o , 4nd the va$!e o3 x#iberi tan x = 1.1 dan A?o x D?o , cari"an ni$ai xb0 Given that cos 7 = K?.BB1A and A?o 7 1B?o , 4nd the va$!e o3 7.#iberi cos 7 = K?.BB1A dan A?o x 1B?o , cari"an ni$ai 7


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#iagram BRaah B

c0 n #iagram B, QR is a straight $ine. Nind#a$am Raah B, QR ada$ah sat! garis $!r!s. 2ari"ani0 6ength o3 PRPanang PRii0 *in 7*in 7

1).

#iagram 1?Raah 1?


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a. n the Venn diagram 1?, x = % È C È 2#i da$am gambar raah Venn di atas, x = % È C È 2i0 *tate the va$!e o3 L7ata"an ni$ai !nt!"i0 nC0,ii0 n% 2 0.ii0 Given that n%0 = nC0, 4nd the va$!e o3 i0 x,ii0 7, i3 n% È C0 = nC 0.

b. Given set G = S , ; , J = S 1 , , ) , ; , H , and = S ? , , ) , ; , H , ,D, B ,1 and the !niversa$ set x = G È J È .#iberi set G = S , ; , J = S 1 , , ) , ; , H , dan = S ? , , ) , ; , H , , D, B , 1 dan*et"ese$!r!han x = G È J È .i. #raw a Venn diagram to show the re$ationship amongst G È J È .

6!"is sat! gambar raah Venn !nt!" men!n!""an h!b!ngan antara GÈJ È.ii. 6ist the e$ement o3 J .*enarai"an e$emen bagi J .iii. Nind nGUJ02ari nGUJ0

mar"s I @ar"ah I

%nswer&' (awapan& a 0 i 0 ii 0

iii 0 b 0 i 0

ii 0 iii 0


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d 0

#iagram 1Raah 11

n #iagram 1, straight $ine %C intersects straight $ine %2 at % . Given that thee+!ationo3 the straight $ine %C is x / 7 = K;. 2a$c!$ate#a$am Raah 1 , garis $!r!s %C bersi$ang dengan garis $!r!s %2 pada titi" %. #iberi persamaan garis$!r!s%C ia$ah x / 7 = K;. Jit!ng"an i 0 the coordinates %"oordinat % ii 0 the e+!ation o3 %2persamaan garis $!r!s %2

H mar"s I H mar"ah I

%nswer&' (awapan&a0 i0ii0

b0 i0ii0

c0 i0ii0


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d0 i0ii0iii0

End o3 paper.

Mertas *oa$an Tamat

soalan matematik tingkatan 4 pertengahan tahun kertas 2 doc (1)

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