Johor Stpm Trial 2009

't0 SectionB [60 marksl

,"v

Answeranytourquestions.i,p thissection. -^r.$# playan importantroleastiructuralandstoragecompoundsin plants. a) Polysaccharides By givingone examplefor eachof thesecompounds, explainhowtheirmolecular structuresare relatedto theirfunctions. [8 marks] (b) (i) Withthe aid ot a diagrarn,showhow a triglycerideis formedthroughthe esterificationprocess. [3 marks] (ii). Describethe structureof lecithinand its importancein cell membranestructure. [4 marks] are two groupsof autotrophicorganisms. and photoautotroph 6. Chemoautotroph (a) By givingone examplefrom eachgroup,comparethe two groups. [3 marks] (b) Heterotrophic organismscan be furtherclassifiedinto holozoic,saprophyticand ,,. parasiticorganisnns. (i) Saprophyticorganismsplayan importantrole in ecology. Explainthe statement by usinga suitableexample. (i) Parasite can be classffiedintoobligateandfacultativeorganisrr. E*pt"l: il:St two typesof parasitesby givingone exampleof each. a) Explainwhat is meantby the Bohreffect. (b) Elplain the regulationof breathingin humans.

[5 marks] [10 marksJ

(a) Dsoibe horran aciionpotentialis transmitted alonga non-myelinated neurone. f/ marksl (b) Ephin houra neryeimpulseis fansmittedacrossa synapse. [8 marl<s] ("rPifferentiatebefiveengenemutationandchromosomal mutation. \, [4 marksl (b) E plain tlre differenttypesof genemutation,givingspecificexampleswhere relevant. [8 marks (c) Ilorn's Syndromeis causedby chromosomal mutation.Explainhowthis mayoocur. [4 marks] gene (a) a desired is In recombinant Dl,lA tecfinology, obtained and inserted 10, intoa host ellto bedoned.

\9

r\

O Describetlp nays of obtaininga desiredgene. 0DErplainhowfie d6ir€d genecanbe insertedintoa hostell. (b) Ustthreeapplicalionsof recombinant Dl.lAtechnologyin the medicalfield.

f/ marftsl [5 marlsl [3 marksl

20

CONFIDENTIAT

SectionB t60 marksl Answeranylour questionsin thissecfion. S.(a) Theequationbelowshowsthe reactionbetweenammoniaand a hydrogen al

ion. N H 3+H**NHa*

N' 9 h

:' ( l "' l' i' ' U

' - :' ;

Lt

explainhowthe bondbetweenthe NHg In termsof the etectronsinvolved, moleculeandthe H* ionsis formed' t3 marksl Namethe typeof bondformedin thisreaction.

(b) Boilingpointdatafor threehydridesaregivenin the tablebelow.

Hydride

Relativemolecularmass,Mr

BoilingpoinUoC

Methane

16

-182

Ammonia

17

-33

Water

18

100

Explainwhy thesethreehydrideshaveverydifferentboilingpoints. [4 marks]

CONFIDENTIAL-

(c) (i)A reactionof nitrogenmonoxideis shownbelow. 2NO(g)+ Oz(g)-,2NOz(9) of NOz the concentration Therateof reactioncan be foundby measuring at differenttimes. Definethe term rate of reaction. of NO2changeswithtime. Sketcha graphto showhowthe concentration Indicatehowthe initialrateof reactioncouldbe obtainedfromyourgraph. [4 marks] of sulphurtrioxidefromsulphurdioxide,nitrogen (ii)In the manufacture can be usedin a two-stageprocessto increasethe rateof monoxide production. 2NO(g)+ Oz(9)-' 2NOz(g) NOz(g)+ SOz(g)-* NO(g)+ SOg(9) of SOgfromSOz. an overallequationfor the production Construct Stateandexplainfullythe roleof NO in thisprocess' [4 marks]

-

CONFIDENTIAL* chlorideandammoniaas example,explain 6. (a) (i) Usinga solutionof ammonium whatis meantby a buffersolution. [5 marks] chloridethatneedsto be addedto 450 (ii) Calculatethe massof ammonium withpH = 9.0 to producea solution cm3of 0.10moldm-3ammonia moldm-3] t4 marksl I Koof NH3= 1.7x 1O-5

acidsare listedin the tablebelow. (b)The pK valuesof fourcarboxylic

Acid

plG

Formulaof acid

4.9

1

CHsCHzCOOH

2.

CHoCHCICOzH 2.8

3

CHgCCIzCOOH

4

i.+

CHzCICHzCOOH 4 . 1

(i) Describeandexptainthe trendin acidicstrengthshownby acids1,2 and 3. in the pKavaluesfor acids2 and4. fdr the difference (ii) Givean explanation acid(acid1). (iii)Calculate the pH of a 0.010motdm{solutionof propanoic

[6 marks]

+ u{ +4l,.lA 't

t+fJLA'J

, l/

\.q

-

-

fr rn-l LN ffJ

kqtno] =t+*t[u]

roH+ =[rrl q k.Hr 'rgodl

I

I

|

CONFIDENTIALt. (a) (i) Statethe trendin the reducingabilityof the halideionsfromfluorideto iodide. [1 mark] (ii) Statewhatyouwouldobservewhenchlorinewaterreactswitha solutionof potassiumiodide.Writean equationfor the reaction. Statethe roleof chlorinein the reaction. [3 marks] betweenseparate (iii)Givea reagentwhichcouldbe usedto'distinguish iodide.Statewhatwouldbe of potassiumbromideandpotassium sotutions observedwhenthis reagentis addedto eachof the separatesolutionsof iodide.Writean equationfor one of the potassium bromideand potassium reactions. ldentifya reagentwhichcouldbe addedto the mixturesfromthefirsttest to confirmthe identityof the halideions.Statewhatwouldbe observedin eachcase. [6 marks] behavein differentwayswhen andsilicontetrachloride (b) Carbontetrachloride addedto water.Statehoweachchloridebehavesandexplainthe differen@. [5 marks]

\.i )r'-)gb

gS= 3f

CONFIDENTIAL* nitrateandbariumnitrate,"n O" B. (a)An aqueoussolutionof magnesium by the additionof dilutesulphuricacid. differentiated Statewhatyouwouldobservewhenthe abovereactionis carriedout. [3 marks] (b) Compareandexplainthe solubilityin water,for the solidsulphatesformedin [7 marks] 8(a). hydroxidehasa numericalvalueof (c) Thesolubilityproduct,K"o,of magnesium 2.0x 10-11. statingits units. hydroxide, for the K"oof magnesium (i)Writean expression in a of Mg(OH)z (ii)Usethe valueof K"ogivento calculatethe concentration saturatedsolution. wouldbe moresolubleor less hydroxide (iii)Explainwhethermagnesium thanin water. solublein 0.1moldm-3MgSOa(aQ) [5 marks]

0

I

q5 $

1\ *-

30

CONFIDENTIAL*

is refluxedwith g. (a) (i) Writethe mechanism of the reactionwhen1-chloropropane Nameof the typeof reactioninvolved [3 marks] aqueoussodiumhydroxide. (ii) Stateandexplainhowthe rateof thisreactionchangeswhen by 1-bromopropane. is replaced l,chloropropane

[3 marks]

to (iii) Writeequationsto showhowyouwouldchange 1-chloropropane [5 marks]

2-chloropropane

(b) The aminoacidsalanineandsenneareshownbelow'

H

H

I

I I

H2N-C{OOH

ll cHg alanine

H2N-C{OOH

cH2oH serine

formedby the reactionof of the two dipeptides (i) Drawthe structures alaninewith senne. formedin b(i). (ii) Nameone of thedipeptides formedwhenonemolecule (iii) Drawthe structureof the organiccompound of ethanoylchloride' [4 marks] of senhereactswithtwo molecules

,*ttd ,""u "it

CONFIDENTIAL*

1,

2

Findtheangle between vectors aandOitlel=s, lpl=Sandla-4=Z QD*"t

Express +a)where r is positiveand a is an 3 sinx + 4 cosx in theformrisin(X acuteangle,givingthevalueof a tothenearestb.lo. 2.

GL*q

_, \J

Hence,find the minimumand maximumvaluesof6 sih x + g cosx{$f+rlarlrsl

l-'/ 3. A shipP movesdueeasttowardsa targetwithp speedof 30 km n{. R shipe moveswitha speedof 60 kmh-1alongthecouise2100. a) Findthe magnitude anddirectionof thevelocityof e retativeto p. \llharXA b) lf initiallyship P is at 20 km to the west of ship e, find the shortest Ql6tlnce betweenship P and ship Q.

\fa*sl

4.

Writean expression for 2sin2x,in/ermsof cos2x. V

Showthat sin 3x = 3 sin x - 4 sin3x.

*,'"

@"*o @o

Basedon the two expressionsabove,express8 sinsx in the form of + b sin 3x + c sin 5x, where a, b and c are constantswhichmustbe evaluated.

[4 ma*sl 5.

In the diagramabove,BC and BA are tangentsto the circle. a) Provethat , i) BA = BC. ai) ZBAC= ZADC.

rksl rksl

b) lf AC = AD, provethattriangleACD and triangleBCA are similar\riangle{.

\ ftnlarksl

954t2 *Thisquestion paperis CONFIDENTIAL untiltheexamination is over. CONFIDENTTAL*

CONFIDENTIAL* 12.

The funotionf is definedas

f $ ) = i : - lx+ { [x' - 6x+8,

,- 6 < x< 1 a

1< x < 4

(a) Findliry1f(x)andjgrt"l.

qr/ /

\,/

9(

whetherf is continuous Hence,determine at x = 1.

[3 marks]

stetchthegraPhof f .

[4 marks]

therangeof f . Determine

[2 marks]

,(d) Determinethe setofvaluesofx sothat(x) > 2- x.

95411 *Thisquestion papbris CONFIDENTIAL untiltheexamination is over. CONFIDENTIAL*

[5 marks]

GONFIDENTIAL* y=- J.-j---._. y=6_xx;T Acurvehastheequation ;theequation

A

9

(a)

Writetheequations of theasymptotes of thiscurye.

[2 marks]

(b)

Findtheturningpointsanddetermine its nature.

[5 marks]

(c)

Sketchthecurve.

[3 marks]

S h o w th a tth e e q u am2x+yti on Bm =0is atangenttothe cuvexy =16for

fl valuesof m, m * 0. A perpendicular linefromthe originmeetsthis tangent at R. Findthe coordinates of R in termsof m . Showthat the equationof the locusof R as m variesis (x' + y,Y -- 64xy. [10 marks] 10.

MatricesA, B and C are givenas

(k

1

-1 )

a =12-3 1 l, [z 1 2J

(1

2 3l

e= 12 3 4 .' , ['' 5 6)

(o

-17 6 = l- 6 6 - 3 8 34 [51

Showthat k = 1 if the determinantof A is- 17.

Express ffi;in Hence,evaluate

[3 marks]

partialfractions' 3r5 x 2 +4x +12

)6;Nn;4* 2

(b)

D"

i tomdrrsl

Hence,solvethe simultaneous equations y + y -z = -1 -2 x + 3 y -z = 3 2x + y + 2 2 = 2 5

(a)

ol

rksl

FindBC and ABC. DeduceA 1.

11.

:l

Usingtrapezium rule,with5 ordinates, evaluate Jtn(l+ x, 1

your answercorrectto threedecimalplaces.

*Thisquestion paperis coNFIDENTIAL untiltheexamination is over. CONFIDENTIAL*

2. showthat the valueof the firstderivativeof By usingfirst principles, xelRatx=a is3a2.

@n,

the inequality Findthesetof valuesof x thatsatisfies

3.

@",.r"t

logr(x2- 3x + z; < {tog, 4 +Zlog"(2x-1). z

Giventhat x3 + 4x2 - ax + b is exactlydivisibleby (x + 2) but leavesa

4.

a ( lSlnarksl \-./

remaindera3whendividedby(x - a), calculate the valuesof a and b.

t it Thesumoffirstntermsofaserier

5.

a"-n(bn-an\ * i, b + a .

arksl

Findthe nn term of the series. I

6.

r@'r'r

showthattheseriesis a geometric series.

Xence,

Giventhatf(x) = x3 - 10x2+ ax + b, wherea and b are constants.lf one of

thezeroesis 3 + 1E, Rndthevaluesof a and b.

[t]iarrsl

* * (3IFX-3*I;) Hence,

showthat the equationf(x) = 12 - 3x does not haveany real rootsother than 4. @arrcsl (a)

+

v,

"'l

\

(b)

\ iN

Yt M

irh

findthe remainderwhen f(x) is dividedby x2 -4.

lpharksl

v'o

.r.'

j ft

:

7.

powersof x ,.upto andincluding Expand.11-U in ascending lhqterm in x3 . Statetherangeof valuesof x forwhichtheexpansion is valid. \)arf<sl (a)

(b)

Findthetermthatis independent of x in the -#)" "*n"nrion([4 marks] *f .k7

n- !

954t1 *Thisquestionpaperis CONFIDENTIAL untiltheexamination is over.

coNFrDENrrAL*

, o, .=L1{)*r* "+f ,$t''' \ G-rngssr '- t

* f

q ,f N^0/

\;

fx

X

32

CONFIDENTIAT

formulaCsHroO. A to E, hasthemolecular 10. Fiveorganiccompounds, but notwith A, B and C ca2reylwith 2,4-dinitrophenylhydrazine, Compounds Fehling'ssolution.Only2Kanp€givesa positiveiodoformtest.A hasa higher boilingpointthanB.

,

., P , with Fehling'ssolution' Compoundsr/anaV{tvea brickredprecipitate, of E givesa straightchaincompound,FD is opticallyactive.Reduction A to F. Givereasons above,identifycompounds Basedon the information for yourchoice. P. NamecomPound for the reactionsabove,involving Writeanythree chemicalequations differentreagents. [15marks]

\(

cryn lr-

\)

/'

*v

\

L -Ll C- C- CI

q (' L'

C,L

i t . w '. \ {t J vr

t,\L.

\U (' \-

f/u' c;

r \ '>

CONFIDENTIAL" 6.

dp3

12,forwhichp = 0 wh e n

a) Findthe solutionof the differentialequation

E*tP=

H)",'no

f= 0. Sketcha graphto showthe relationshipbetweenp and f if f >0.

0"*o

b) The accelerationof a moving particleis given by g - gt(f , where g and k are positiveconstantsand v is the speedof the particle. q}l Write down a differential equation relating v and time f. Hence, express y explicltlyin terms of f if the particlemovesfrom rest. 17 marksl 7. The random variable X has a Poisson distribution with mean 1,. Giveh that ZP( X= 1) = P ( X =2).

8.

a) Findthe valueof X..

arksl

b) FindP( X> 3 ).

arksl

Giventhat X and Y are two eventswith the followingprobabilitiese1X; = l,'t

P(xlY).= '7 2] r anoP(Xnn= *. .

G),*o

a) Find P(X U Y).

b) Determine whetherX andY are independent events.

L

6"*o

Theprobability functionof randomvariableX is P(X- x) = rnftl distribution

w/ ",

x= 0, 1,2, 3,4, 5 wherem is a constant.

a) Determine thevalueof m. b) TabulateP(X= x). c) FindE(sX- 3)

l-

5( )

0 \t r ( .. L $Lrt '

'Lq

O"*o

v

@a*q

95412 *Thisquestionpaperis CONFIDENTIAL untiltheexaminationis over. CONFIDENTIAr

d

{9

CONFIDENTIAL*

10.

densityfunction,f(x)as shown randomvariableXhas probability Thecontinuous

in the diagrambelow.

0*o

a) Findf(x).

o

functionof X andsketchits graph. @r.arf<sl distribution b) Findthe cumulative

@"""r

c)F i n d P (0 .9 <X <2 .1 ).

is soldin bottlesof twosizes,standardandlarge.Foreachsize, 11. Mineralwater withmeanand thecontent,in /itres,of a randomlychosenbottleis normallydistributed standarddeviationas givenin thetablebelow: Sizeof the bottle Standardbottle Larsebottle

illean

Standard deviation

0.760 1.010

0.008 0.009

thata randomlychosenstandardbottlecontainslessttrFrrJ a) Findthe probability 0.750/dresof mineralwater. \[/matf<s] thata boxof 10 randomly chosenstandardbottlescontpinqpt b) Findthe probability leastthreebottleswhosecontentsareeachlessthan0.750lrfres. [3 parks] in fourrandomlycnosffiarO c) Findthe probability thatthereis moremineralwater chosenlargebottles. bottlesthanin threerandomly \l/a*sl 12. Thefollowingtableshonsthe rangeof marksfor chemistrytestobtainedby 120 students. Numberof students Marks 2 1 -3 0 3 1 -4 0 4 1-5 0

2 5 11

23

51 -60 61 -70 71-80

47

8 1-9 0

I

91 - 100

3

20

a) Calculate the meanandstandarddeviationforthe marksobtainedby@\) students,givingyouranswerconectto onedecimalplace. IQyp*s1 graph,hence,estimatethe frequency b) Plotthecumulative i) median.

@*"r

ii) percentage of studentswhosemarksarewithinthe rangeof onegtantgrd from deviation mean. ( 13mp*sl

silt2 \/ *Thisquestion paperis CONFIDENTIAL untiltheexamination is over. CONFIDENTIAL*