trial mate spm terengganu 2011 paper 2

8/4/2019 Trial Mate Spm Terengganu 2011 Paper 2

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NAMA

JABATAN PELA JARAN NEGER I. T ERENGGANUPEPERIKSAAN PERCUBAAN (OTI 2)SIJIL PELAJARAN MALAYSIA 2011MATHEMATICSKertu2Ops2l112~jam

1449/2

Dua jam tippalomIDlt

JA NGAN BUKA KERTAS SOALAN IN I SERINGGA D IBER ITAHUKodP~til

1 . T 'tIl1 8km Dam. dan tiagbtu cmdapoJa . rumrg ytlIIg d t & e d i a I c a n .3 .2. xmas soaltm int : Q ( } Q l a h dalamdwibaham

3. S o a l Q I I . d a lam bah tIsa /ngp'1s~ui 3fJt 'Jlan yang sepadon d a J omBahasaM~

4. Calon dibenar lmn menjawabkeu lu ruhan atmI ,ebahagkm ,od/anlama a d D . dD lam BtzIJosa 1nggeria atmIBtIhtIsa M B I a y u .

S. C tIkm ~ m em baca ~di ht:ilamtm belciktmg 1 r e r t a 8 aoaUm in!

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lJi3l!diaiam oleh:AKR AM N EG ER I TE REN GirGMru

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Dibi'ami DiM. 'KER.A J .AAN NEGER I TERF ..NGGA.N ll

TERENGGANU NEGERI ANJUNG ILMUDic et ak o leA . .

Pe~D V... lshm Te~u SdR.Bhd.Tel: 609-666 86111665218601 Fm: 609~(161110063


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SULIT 2MATHEMATICAL FORMULAERflMUS MATBMATIK

The follow ing form ulae m ay be belpful in answ ering the questions ..The sym bols given areth e o ne s c ommonly used,RumU 8 ~r umU &er ik ut b ole b m em b an tu a nd a m e njawa b s oa la n. S im b o l-s im b o l y an g d ib er ia da la b y an g b ia sa d ig un aka n.

RELATIONSPERUITAN1 10 Pyth ag ora s T he oremTeorem Pitbagorast?=a2+b2234

(a"')ll = a n n .A - I . . . . . 1 ( d - ~ ) . .- ad-bc -c ..

11 P (A ) = n{A}n(8)12 P (A ') = 1- P (A )

5 Distance IJarak= 4 ( ~ - X) 2 + & 2 - yS Z 13 m = )12 - )11Xl - Xl6 Midpoint I T i ti k t engab

(x , y ) : : ( x t i X a )1, ~ )12) )1 ~intercept14 m ::: - X ~ interceptpintasan- ym=-=----......pintasan-x7 Aver ag e spe ed = distance travelled

time takenPura ta laju = jarak yang dilaluima s a yang diambilMean = sum of data

num ber of dataMin =hasil 'ambab n il ai data

bilangan. data

8

9awn o f (classm ark x freq uen cy)~ean = ~ ~ ~ ~ _ _ .~ - - ~ - - - ~ -s um o f f re qu en cie s

Min = has ;' t ambak (nt/at titik 'engabkelas x kekerapan)hasil tambah kekerapan

1449/2


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SULIT 144912

IslIAm AND SPACEBBRTV& DAN RVANO

1 ..Area o f t rapezium;;; :2 x lum o f p ata lle J s i d e s x height1Lua trap ez ium ;;; 2 x has il tam b ab dua s is i s e/ar ix ti1 lgg"

2 Circumference o f circle = 'ltd = = 2'1trL il lt an bu /a tan = = 'Itd = 2xiArea of circle = x,.2Luabulatan = xiCu rv e d s ur fa ce are a o f cylinder = 21r.rbLuas p er m ukaa n m e /eng le"ng s ilin de r ;: : 2'1 tjtSur fa ce a re a o f s ph e re = 4 tc,.2L uas p er m uka an s fer = 41eiVolum e o f rig ht p rism = c ro ss se ctio na l a re a )( le ng th!s ip ad u p riam a le ga le = lu as k er ata n n nk iS x pa1ljangVo lume o f c y lin d er : x,J.hI s ipadu s i li nde r = Kit

34

s6

7

8 1V olum e of co ne = 3 1t,J.h1ls ip ad u le on = 3 ' xit

9 4Volum e o f sp he re = ' 3 x i34l aipadu a / era = 3 1Cj3

110 Volum e o f righ t py ram id = 3 ' x base area x heigh t1I sip ad u p ir am i d te ga le = 3 ' x lua tapale x tinggi

11 Sum o f in terio r an gles of a p oly go nHas il tam b ah s ud ut p eda la ",a n p o/ Igo n= (n--2) x 1800


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SULIT 4 1449/2

12 c ir cumf er en c e o f circlea re l eng th = 8D@e su bte nd ed at c en tre

3600pan jong l engkuk := au.' pusatlilltanbtdatan 3600area of sector

13 ateaof circlel ua s s e kt or = s ud ut p us atlua s bu la tan 360

a n gle s ub te n de d at centre::::

PA'14 Scale factor, k : : : : : PAPA'Faktor skala. I e : : : : : PA

15 A rea of im age ::: f c 2 x area o f ob jectLu o s Im e } ::: 1 i l x l u a s objek


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SULIT 5

Section A I BIIIuIgitm A[52marks /52 markah]

Answer all questions in this section. / Jawab semu s o ala n d alam bahag ia n tn t1 On the graph in the answer space) shade the region which satisfy the three inequalities

2y~x+4. y+x~-3 andy


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SULIT

UseExamine r S 2

6 1449/2

Ca lc uia Je th e v alu e o f) ; and of y . t b a t satisfy t he fo ll owing s imult aneous l inear equations:Hitu ng lc an " tla i x d@ "ilat y 1(l11g lM1IIUQS1ftm p ers am a .an linear s erentak berilc ut :

3Sx +--y::::: 1 : 242x - :::::18

[4 m arks 14 m arkah]

3 Solvetbe followingquadraticequation:Seluaik4n persant (l (ln I r : u C f d r Q t i l c berikut:

4-x-4:::::

{4 m a rks 1 4 m a rkah]


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SULIT 7

Diagram 4 show s a so lid righ t pr ism w ith re gula r h ex ag on MNOPQRas th e un ifo rm c ro ss-s ec tio n . A h em i sp h ere is rem ov ed from this solid.Ra j a h 4 me11tBUu kkan sebl ll lh p ep ejaJ berbentuk p ris m a tegale dengan .heks ago n s elrataM NO PQ R s ebagai watan rentas s eragm tl1 'lyQ ..S ebuah hem is jera dikeluarktm darip adapr l sma itu.

p6cm

v

D ia gra m 4/ Rajah 4The area of the cross-section of the prism is 30 cm 2 and the diam eter o f th e h em isp here is7 em .L ua s k er ata n r en ta s s er og am p ris m a itu talah 30 em 2 d a n d iam e te r h em i s fo ra ia la h 7 em .C a lc ula te t he v o lum e, inem 3, o f th e re main in g so lid .H itu ng ka n is ip ad u, d alam C I f I ' . p ep eja J y ang tin gg al

( Use/Grlna R'= 22 ]7[4 marks /4 markah ]

Answer / Jawapan :

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ForExaminersUse


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SULIT

ForExaminer~U se

8 1449/2

(a) Write th e c o n v e r s e of th e follo wing statem en t. H en ce, state w heth er th e co nverse is trueo f f als e.Tullslam akas bagi pemyataan ini. S eter us nya nyatalam s am a ada akas im bena r ataupa1su.

If n is an o dd in teg er, th en (n + 1) is an even in teg er.rilca n ialah integer ganjl', m aka ( n + 1) i al ah in tege r genap .

(b) Write two imp li ca tio n s f rom th e f ol low ing s en te n ce :Ttllislam d u a im p libi darlp ada ayat ber ikut:

: m is a p ro pe r f ra ctio n if an d only ifm an d n a re i nt ege rs with 0 < : m < nn! ! ! . ialah s atu p ec ah an waja r jilr a dan ha ny a jika m dan n adalo h integer deng an 0


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SULIT 9

6 InD iag ram 6 , 0 is t he o rig in . S tr ai glr t lin e PQ is parallel to straight line RS.Dalo m Rajah 6, 0 ia la h a sa la n. Gar is lu ru s PQ a dalah s elar l den gan g ar is iu ru s RS.y

P(2,3)

R(O.2)

8(4,0) xQ

Diagram 61 Rajah 6FindCarl(a ) th e equat ion aftho straight line PQ,

p el's am a an g ar is lu ru s PQ,(b) th e x - in tercep t o f th e s t raight line PQ.

pintasan - x bag; garis lurus PQ.[5 marks 1 5 ma r ka h ]

Answer Iawapan :(a)

(b)

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ForExaminersUse


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SULIT

Fo r 7Examiner~U se

10 1449/2

D iagram 7 show s sector OPQ a n d qu ad ra nt ORS , w ith co mm on cen tre O. OPR is a straightline.Rajah 7 m e nunjukkan s ekto r O PQ d a n s uJ cu an b ula ta n ORS , d en ga n p uaat s ep un ya 0.OPRialah gar ts lurua .

14cmDiagram 7 IRajah 7

Use 1t = = 22 and give the answ ers correct to tw o decim al p laces.7CalculateGuna 1f = - 22 d a n b er ! jawa pa n b etu l k ep ad a d ua tem p a t p er puiu ha n.7Hitung(8) t h e pe rime te r, incm , of th e s ha de d re gio n,

p er im e te r, d ol am em , k awas an yang b er lo re k,(b) th e area, in cm 2, of th e s ha de d re gio n.

l ua s , dalam cm 2, k awas an y an g b er lo rek .

Answer Iawapan:(a)

(b)

s

[6 marks 16 markah]


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SULIT 11

8 (a) Given that m atrix p(! ~) is the inverse m atrix of (~ ~ l).Find thevalueofpandt.Diberi motrib p(! ~) adaIah matrib aongaang ba g i (~ ~l).ar l nil a t p dan t.

(b) W r ite th e fo llo w in g sim ulta ne ou s e qu atio ns a s a m a trix e qu atio n:Tulia per samaan seren tak berilad dalam be:ntukpersamaan motrib:2x - y =-.3

-4.% + 3y "" 5H en ce, usin g m atrix m eth od , calculate th e v alue o f x and of y.&terusnya. menggunakan kaedah matrib, hltu ng nllai x dan nitai y.

[6 marks 16 markah ]Answer / Jawapan:(a)

(b)

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ForExaminer~Use


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SULIT

ForExaminersU se

12 1449/2

D iag ram 9 sho ws th e s pe ed -tim e g ra ph fo r th e m ov em en t o f a c y cl is t ina competi t ion for th ep erio d o f 8 seconds. 'Rajah 9 menunjuklran gaf laju-m as abagl p ergerakan s eo rang p elum b a bas ikal dalampertandingan b a g ; t empoh 8 saat

Speed (ms -1)LaJu (ms -1)

v

o 4 8 Time{s)Masa{s )Diagram 91 Rajah 9Given th e d ist ance t rave l led in th e first 4 seconds is 48 m .D ib er t ja ra k y an g d ila lu i d alam te m p oh 4 s oo t p er tam a laI ah 48 m.Calculate,Hitung,(a ) the va lue of v .

nilai v.(b) th e ra te o f change of speed , in IDS -2 , of th e cyclist inth e fIrst 4 seconds.

k ad ar p er ub ah an la ju , d alam ms -2 , p elumba bas ik al ltll d alam 4 sa at pertama.(c) The average s pe ed fo r th e p erio d o f 8 sec on ds.

Pur ata lq ;u b ag i te m p oh 8 saat.[6 marks 16 markah ]

Answer 1 Jawap an :(a)

(b)

(c)


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SULIT 13

Puan Alya wants to bring tw o pots of roses from her garden to sch oo l. S he ha s tw o pots ofyellow roses (Y) an d a pot o f red roses (R).First she chooses a po t at random and puts in he rc ar. Th en sh e chooses a s econd po t at random . 'Puan A lya m o h u membawa dua pasu bunga ros darlpada tam annya ke .feko lak D iamempunya i dua pa su bunga ros T am ing m d o n s ep as u bu ng a 70S merak (R ) . P er tam a , diam em ilih s ec ar a rawak sam pa&u d an meletalarya dalam kereta. Kem udian dia m em ilih pulapa&u 1 c e d u a s eca ra rawak.Diagram 10 show s the tree diagram of th e po ssible outcom es of th e event.Rajah 10 memmjukk tm rajah pol rok ba gi k es ud ah an p er is tiw a y an g m u ng kin .

Po ss ib le Ou tc omes !Kesudahtm YangMungldn

10

First Outcome!Ke au d ah an pertama

~

trial mate spm terengganu 2011 paper 2

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