22METS

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MATHEMATICSENGLISHTESTINGSYSTEMcoalaNr.22MirceaEliadeCraiova

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CLASAaIVa

Herearesomesuggestionstohelpyoudoyourbest:

Readcarefullyeachquestionandthinkabouttheanswerbeforechoosing

yourresponse.

RULES

PartIhassixmultiplechoiceexercices.

PartIImustbesolvedintoEnglish

PartIIImustbetranslatedintoEnglish,andthensolvedinEnglish aswell.

PARTI.

1.

GregmadetheInputOutputtablebelow:

Input Output

4 12

9 27

6 18

8 24

WhatrulecanbeusedtofindeachOutputnumber?

A Multiplyby3

B

Divideby3C Multiplyby4

D Divideby4

2. ThenumberofpeoplewholiveinCraiovaisthreethousandninehundred

andeight.Whatisanotherwaytowritethesamenumber?

A 398

B 3098

C 3908

D 3980

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3. Whichkindofnumbers,whenmultipliedtoghether,haveaproductthatis

anoddnumber?

A evenXevenXeven

B

evenXevenXoddC oddXoddXeven

D oddXoddXodd

4. Whichisthesameas30tens?

A 3ones

B 30ones

C 3hundreds

D 30hundreds

PARTII.

TheRiddlerhasleftaclueforBatmantofollowatthesceneofeachcrime.ThesearethecluesthatBatmanhasfound:

(1)Thereisa1inthethousandsplace.

(2)Thedigitinthetensplaceis9timesthedigitinthethousandsplace.

(3)Multiplythedigitinthethousandsplaceby2.

(4)Thedigitintheonesplaceisahandwithoutathumb.

(5)Thedigitinthehundredsis2lessthanthenumberinthetens.SolvetheriddletofindthenumberandhelpBatmanstoptheRiddler.

PARTIII.

ntrogrdin seafl 5meri.Eisuntplantaipeoaleela5mdistan unuldealtul.

Peaceeaidirecie,la30m distan deprimulpomseafl ofntn.Unfermier

vreas udepomii.Eltrebuies udepomiicu3gleicuap pentrufiecarepom.El

poate cra doar dou glei de ap la un transport. Ct merge fermierul de la

fntn inapoi,pentruaudatoipomii?

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CLASAaVa



yourresponse.

RULES




PARTI.

1.

Whatmixednumberequals ?

A

B

C

D

2. Thelistbelowshowstheweights,inkilos,offivedifferent

kangaroos:65,75,80,85,85.

Whatisthemean(average)weight,inkilos,ofthekangaroos?

A 78

B 80

C 85

D 88

3.

Whatisthegreatestcommonfactor(GFC)of9and36?

A 3

B 9

C 18

D

36

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4. Whatisthesumof(3+3)2and23?

A 18

B 20

C 26

D 44

PARTII.

ChrisaskedLorettaherageandshesaid:

"Myage?"sheasked,"you'llhavetoguess!"

"Justletmethink,AH!,that'sit:yes!!"

"Reversemyage,dividebythree,addthirtyfour,myageyou'llsee!"

HowoldwasLoretta?

PARTIII.

Gepettoarenlimeade180cm, iarPinochioestemaiscundcael.Pinochioare

nlimeadepeste100cm inasulsuestede1,5cm.Dup fiecareminciun pe

care o spune, nasul se dubleaz i crete cunc 1 cm. Cte minciuni a spus

Pinochiodac nasulsuestectnlimeasa?

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CLASAaVIa



yourresponse.

RULES




PARTI.

1. Whatvalueofxmakestheproportionbelowcorrect?

A 1

B 3

C 6

D 9

2. ThetemperatureonawinternightinCraiovais60Celsius.The

temperaturedecreasesby80Celsius.Whatisthenewtemperature,

indegreesCelsius?A 2

0C

B 20C

C 140C

D 140C

3. Whatistheleastcommonmultipleof9,18and21?

A 3

B 81

C 126

D 3402

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4. Inthediagrambelow,linefandlinehareparallel,andlinenisa

transversal.

Whichtermexpressestherelationshipsbetween1and8?

A adjacent

B congruent

C supplementary

D complementary

PARTII.

InatriangleABC,MisthemidpointofthesideBC,ANbisectsangleBAC,BNis

perpendiculartoAN. DrawthelineBNuntilitmeetsACin

E.

a) ProovethattheABEisanisosceletriangle.

b) IfsidesABandAChavelengths14and19,thenwhatisthelengthofMN?

PARTIII.

Laconcursul22METSconcureniivorfiplasaicte15nfiecareclas,darastfel3

elevi nu vor avea loc. Organizatorii au renunat la dou sli i astfel au fost

repartizai toi eleviin mod egaln clasele rmase. Ci elevi vor participa la

concursicteclasevorfiocupatedac laintrarean coal eleviivorfiaezaipe

9rnduricomplete?

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CLASAaVIIa



yourresponse.

RULES




PARTI.

1. Thecirclegraphbelowshowsthenumberofstudentswhoplay

instrumentsintheschoolorchestra.

Whatpercentageofthetotalnumberofstudentsintheschoolorchestra

playtheviolin?

A 15%

B 25%

C 33%

D 75%

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2. TriangleRSTisshownonthecoordinategridbelow.

WhatarethecoordinatesofpointT?

A (3,4)

B (3,4)

C (4,3)

D (4,3)

3. Betweenwhattwowholenumbersis ?

A 63and64

B 62and63

C

12and13D 11and12

4. Rachelhas5silverbraceletsand2goldbraceletsinherjewelrybox.Rachelrandomlypicksonebracelet.Whichstatementbestdescribeswhichbraceletshewillprobablypick?

A Sheprobablywillpickagoldbracelet

B Shedefinitelywillpickagoldbracelet

C Sheprobablywillpickasilverbracelet

D Shedefinitelywillpickasilverbracelet

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PARTII.

TherectangleABCDhasAB=4,BC=3.ThesideABisdividedinto168equalpartsbypointsP1,P2,...,P167(inthatorderwithP1nexttoA),andthesideBCisdividedinto168equalpartsbypointsQ167,Q166,...,Q1(inthatorderwithQ1nexttoC).TheparallelsegmentsP1Q1,P2Q2,...,P167Q167aredrawn.Similarly,167segmentsaredrawnbetweenADandDC,andfinallythediagonalACisdrawn.Findthesumofthelengthsofthe335parallelsegments.

PARTIII.

UnelevdelacoalaNr.22MirceaEliadelocuietentrolocalitatelng Craiova.Eltrebuies ajung lacoal laora13:30.Elevulgdeteastfel:dac autobuzulcircul cadeobiceicu60km/h,voiajungelacoal laora13:20.Dac traficulestelafeldeaglomeratcadatatrecut,autobuzulcircul doarcu20km/hiosntrzii10minute.Autobuzulaajunslaora13:30. Aflai:a)Cucevitez acirculat.b)Cedistan aveaelevulpn lacoal.

c)Laceor pleac autobuzuldinlocalitatealui.

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CLASAaVIIIa



yourresponse.

RULES



PartIIImustbetranslatedintoEnglish,andthensolvedinEnglishaswell.

PARTI.

1. Theareaofonesideoftheboxis120cm2.Theareaofanothersideofthe

boxis72cm2

.Theareaofthetopoftheboxis60cm2

.Whatisthevolumeofthebox?

A 1200cm3

B 840cm3

C 720cm3

D 600cm3

2. Allthefiguresbelowhaveatleastonerectangularfaceexceptforwhichfigure?

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3. Jamalsdeckisintheshapeofapolygonandisshownonthegridbelow.

WhatistheareaofJamalsdeck?A 28squareunitsB

48squareunits

C 100squareunitsD 140squareunits

4. Whatistheproductoftheexpressionbelow?

A

B

C

D

PARTII.

Provetheidentites:(a2+b2)(c2+d2)=(ac+bd)2+(adbc)2

(a2+b2)(c2+d2)=(ac bd)2+(ad+bc)2Useittowrite481asthesumoftwosquaresintwodifferentways.

PARTIII.

ntrozi Janeaveagrij defrioruleide2ani,Frank.nmomentulncareJanenueraatent,Frankaluatacvariulilarsturnatntroparteastfelnctnivelulapei

eracanimagineademaijos.(CestemijloculsegmentuluiAB)

CndJanelagsiteaanfcatrepedeacvariulilalapuslaloc,npoziiainiial.Careeraadncimeaapeinacvariudup ceacestaafostpuslaloc,dacdimensiunileacvariuluisunt:100cmlungime, 60cmlimei40cmnlime?

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USEFULWORDSANDEXPRESSIONS

cel mai mare divizor comun - greatest common divisor, greatest common factor

cel mai mic multiplu comun - lowest common multiple

coordonat - coordinate

crete - to increase

Cifr - digit

demonstraie - proof

descrete - to decrease

distan - distance, way

dreapt - line

dreptunghi - rectangle

impar - odd

nlime - height

latur{a unui unghi} - side {of an angle}

lungime - length

multiplu comun - common multiple

ridica la patrat - to square

sistem de coordonate - coordinate system

suprafa - surface

triunghi isoscel - isosceles triangle

unghi complementar - complementary angle

unghiuri (adiacente )suplimentare - (adjacent) supplementary angles

volum - volume

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22METS