2

verbaluri nawili

analogiebi

am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva (sawyisi

wyvili), romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, ra

saxisaa es mimarTeba.

savaraudo pasuxTa yovel variantSi mocemulia, aseve, mniSvnelobiT

urTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSic

sityvaTa mniSvnelobebs Soris mimarTeba sawyis wyvilSi arsebuli mimarTebis

analogiuria. pasuxis arCevisas gaiTvaliswineT sityvaTa Tanmimdevroba wyvilebSi.

1. mTagrexili : mTa

(a) xerxemali : mala

(b) asanTi : Reri

(g) Robe : meseri

(d) gza : Cixi

2. kaskadiori : Canacvleba

(a) prototipi : Seqmna

(b) iluzionisti : aRqma

(g) koreqtori : Sesworeba

(d) farmacevti : mkurnaloba

3. elva : klaknili naTeba

(a) mewyeri : miwis qanebi

(b) cunami : talRis sidide

(g) tornado : mtvris sveti

(d) miwisZvra : ryevis simZlavre

4. emuqreba : SeaSinebs

(a) mfarvelobs : daicavs

(b) mkurnalobs : gamoajanmrTelebs

(g) anacvlebs : gadaasxvaferebs

(d) amowmebs : Seaqebs

3

5. TviTmfrinavi : frinveli

(a) Ruza : myvinTavi

(b) roboti : avtopiloti

(g) teqsti : sufliori

(d) saaTi : guSagi

6. aborigeni : endemuri saxeoba

(a) turisti : samuzeumo eqsponati

(b) mkvlevari : monitoringi

(g) emigranti : saeqsporto saqoneli

(d) dampyrobeli : nadavli

4

winadadebebis Sevseba

am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaa

gamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli.

erTi xazi zogjer erT sityvas gulisxmobs, zogjer ki _ ramdenimes.

savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlis

nawilebi erTmaneTisgan daxrili xazebiTaa (/) gamijnuli. airCieT pasuxis is

varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis

gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.

7. kulturuli difuzia ewodeba process, romlis drosac erTi sazogadoebis wevrebi sruliad Segnebulad _____ sxva sazogadoebis qcevis formebs,

Rirebulebebsa Tu miRwevebs. aRniSnuli procesis _____ inovaciebis _____

qveyanaSi. swored am gziT _____ mTel msoflioSi.

(a) iTviseben / meSveobiT xdeba / swrafi gavrceleba sxvadasxva / vrceldeba

Tanamedrove teqnologiebi

(b) ebrZvian / naTeli ilustraciaa / sruli akrZalva zogierT / xdeba

moZvelebuli teqnologiebis axliT Canacvleba

(g) ugulebelyofen / Sedegad ferxdeba / gavrceleba maT / moxda Tanamedrove

teqnologiebis danergva

(d) iTviseben / sapirispiro SemTxvevaa amgvari / danergva sxvadasxva / ebrZvian

moZvelebuli teqnologiebis gamoyenebas

8. mcenareebis mimarT Cveni damokidebuleba _____ nimuSia: Tu mcenareSi uSualo sargebels _____ vaxarebT mas. xolo Tu raime mizezis gamo mis

arsebobas _____ miviCnevT, an Tundac _____ , yovelgvari yoymanis gareSe _____ .

(a) gansakuTrebuli SorsmWvretelobis / ver vxedavT, ar / sasurvelad ar /

CvenTvis sasargeblod gamoviyenebT mas / gadavwyvetT mis gaxarebas

(b) araracionaluri midgomis / vxedavT, / sasurvelad / ubralod gulgrilni ar

varT mis mimarT / SeiZleba gavwiroT is ganadgurebisTvis

(g) gansakuTrebulad viwro Tvalsawieris / vxedavT, / arasasurvelad / ubralod

gulgrilni varT mis mimarT / SeiZleba gavwiroT is ganadgurebisTvis

(d) marTlac farTo Tvalsawieris / ver vxedavT, ar / arasasurvelad ar /

CvenTvis sasargeblod gamoviyenebT mas / gadavwyvetT mis gaxarebas

5

9. etruskebis warmodgenebiT, adamianis sicocxle dayofili iyo 12 Svidwleulad. es tradicia berZnul sinamdvileSi solonis wyalobiT aris cnobili. _____ ,

rom etruskebma solonisgan gadaiRes es koncefcia. _____ , rom etruskulma

tradiciam solonze moaxdina gavlena. _____ , rom orive maTganisTvis _____

dReisaTvis ucnobi, mesame wyaro.

(a) unda vivaraudoT / naklebad mosalodnelia / Sesabamisad, ar aris

gamoricxuli / amosavali yofiliyo (b) naklebad mosalodnelia / ufro savaraudoa / Tumca, arc isaa gamoricxuli /

amosavali yofiliyo

(g) safiqrebelia / Znelia vivaraudoT / Sesabamisad, gamoricxulia / amosavali

ar yofiliyo

(d) ar unda vifiqroT / ufro savaraudoa / Tumca, gamoricxulia / amosavali

ar yofiliyo

10. saRamos saaTebSi daswavlis simtkices, rogorc Cans, _____ is, rom masalis daswavlis Semdeg adamiani _____ da sxva, axali STabeWdilebis miReba _____

daswavlili Sinaarsis _____ .

(a) xels uSlis / male iZinebs / ar warmoadgens bariers / ganmtkicebisTvis

(b) xels uwyobs / gadaRlilia / misTvis warmoadgens / ganmtkicebis

damabrkolebel faqtors

(g) xels uSlis / gadaRlilia / ar warmoadgens / ganmtkicebis damabrkolebel

faqtors

(d) xels uwyobs / male iZinebs / ar uSlis xels / ganmtkicebas

6

logika

am saxis davalebebi gansxvavdeba erTmaneTisgan monacemebisa da gamosatani

daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT SekiTxvas,

romelic axlavs TiToeul davalebas, da mocemuli variantebidan airCieT

Sesabamisi pasuxi.

zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva

naxazis formiT.

11. dedam ojaxis wevrebisTvis saaxalwlo saCuqrebi SeiZina, sxvadasxva yuTSi moaTavsa da naZvis xesTan erT rigad daawyo. erT yuTSi devs xelTaTmanebi,

erTSi _ maisuri, erTSi _ qudi, erTSi ki _ kaSne. saCuqrebi sxvadasxva ferisaa:

TeTri, wiTeli, lurji, mwvane. garda amisa, cnobilia:

• marcxnidan pirvel yuTSi devs lurji saCuqari, xolo meoreSi _ maisuri. • TeTrsaCuqriani yuTis marjvniv devs yuTi, sadac kaSnea, xolo marcxniv _

yuTi wiTeli saCuqriT.

• xelTaTmanebi ar aris TeTri feris.

qvemoT mocemulTagan romel striqonSia sworad miTiTebuli, ra ferisaa

TiToeuli saCuqari?

xelTaTmanebi maisuri qudi kaSne

(a) lurji wiTeli TeTri mwvane

(b) TeTri wiTeli lurji mwvane

(g) wiTeli lurji mwvane TeTri

(d) lurji mwvane TeTri wiTeli

12. mocemulia: • umaRlesi saswavleblis yvela students miRebuli aqvs saSualo ganaTleba.

qvemoT CamoTvlilTagan romeli debuleba unda aviRoT meore wanamZRvrad, raTa

davaskvnaT: umaRlesi saswavleblis yvela students gavlili aqvs samoqalaqo

Tavdacvis kursi?

(a) samoqalaqo Tavdacvis kurss mxolod saSualo ganaTlebis mqone pirebi gadian

(b) saSualo ganaTlebis mqone yvela pirs gavlili aqvs samoqalaqo Tavdacvis

kursi

(g) saSualo ganaTleba mxolod umaRlesi saswavleblis studentebs aqvT

miRebuli

(d) samoqalaqo Tavdacvis kurss gadian mxolod umaRlesi saswavleblis

studentebi

7

13. Sotlandiis CrdiloeTSi, okeanis sanapirosTan aRmoCenil erT-erT uZveles sacxovrebel kompleqsSi, skara breiSi, yvela sacxovrebel saxlSi SemorCenilia

Taviseburi kera, romelic gasaTbobad da sakvebis mosamzadeblad gamoiyeneboda.

vinaidan cnobilia, rom mkacri klimaturi pirobebis gamo dasaxlebis teritoria

arasodes yofila dafaruli tyis safariT, arqeologebma ivaraudes, rom skara

breis mosaxleebi sawvavad torfs iyenebdnen.

qvemoT CamoTvlilTagan romeli viTareba daayenebda eWvqveS arqeologTa varauds?

(a) msgavs klimatur pirobebSi arsebul sxva Zvel dasaxlebebSi sawvavad

iyenebdnen Sinauri pirutyvis nakels, Tumca, gaTxrebma daadastura, rom skara

breiSi mecxoveleobas ar misdevdnen

(b) skara breis sanapiroebze uxvad moipoveba wyalmcenareebi, romlebic energiis

kargi wyaroa, Tumca, qimiurma analizma ar daadastura nasaxlarebSi

wyalmcenareebis wvis specifikuri produqtis arseboba

(g) skara breis klimaturi pirobebisa da mcenareuli safaris cvalebadobis

tendenciebis analizma aCvena, rom am teritoriaze saukeTeso pirobebia

Seqmnili torfis sqeli fenebis warmosaqmnelad

(d) okeanis dineba skara breis sanapiroze gamoriyavs didi raodenobiT xe-tyis

narCenebs, romlebic samxreTis saukunovani tyeebidan okeaneSi Caaqvs adidebul

mdinareebs

14. sami gogona msjelobs imis Sesaxeb, Tu ramdeni rveulia saweri magidis daxurul ujraSi:

elene: yvelas TiTo rveuli mainc Segvxvdeba.

ana: ujraSi rveulebis raodenoba samze naklebia.

lika: ujra carieli ar aris.

ramdeni rveuli devs ujraSi, Tu cnobilia, rom gogonebidan mxolod erTi

ambobs simarTles?

(a) sami

(b) mxolod ori

(g) mxolod erTi

(d) arc erTi

8

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

yvelas, vinc speqtakls, sanaxaobas eswreba, SeuZlia misi erTgvari monawile

gaxdes da garkveuli gavlena moaxdinos mis msvlelobaze. magaliTad, SegiZliaT,

Teatralur warmodgenas samariseburi siCumiT an stveniT SexvdeT, anda taSi

daukraT, ovacia gaumarToT msaxiobs. kinematografiuli ambis msvlelobaSi ki

ver CaereviT. SegiZliaT, gaxvideT darbazidan, gamorToT televizori, iseve,

rogorc daxuroT wigni. filmi sxvebisTvis gagrZeldeba, teqsti xeluxlebeli

darCeba.

yofiTi speqtaklis erTgvari magaliTia sasamarTlo procesi, sadac

profesionalebs Soris rolebi zustadaa ganawilebuli. damswreni zogjer

aplodismentebiTac ki ajildoeben prokurors, advokatsa Tu braldebuls

originaluri monologis anda maxvili replikisTvis. zogjer isic xdeba, rom

prokurors ar unda bralis dadeba, magram iZulebulia, Seasrulos bralmdeblis

roli.

Zvel romSi drama sinamdvileSi TamaSdeboda: gladiatorebi samkvdro-

sasicocxlod ebrZodnen erTmaneTs, mtacebel cxovelebs. aseT speqtaklSi mTavari

personaJi damonebuli adamiani iyo. mas eZleoda roli, romelic, surda Tu ar

surda, unda Seesrulebina. Sua saukuneebSi Tu momdevno epoqaSi mayurebliT

gaWedili moednis SuagulSi eSafotze asvlisas adamians ar SeeZlo, ar efiqra

imaze, Tu rogor eWira Tavi, da bolo momentSi ar daeyvira paTetikuri fraza:

`gaumarjos Tavisuflebas!~ ecado, damalo dabneuloba, panika, SiSi, Rirseulad

da mSvidad geWiros Tavi, iseTad ar gamoiyurebode, rogoric xar, niSnavs, roli

iTamaSo. rolis TamaSi erTgvarad mayureblis SecdomaSi Seyvana, motyuebaa.

totalitarul saxelmwifoebSi diqtatorebs Zalian uyvarT aRlumebi,

masobrivi sanaxaobani, romlebic qveSevrdomTa masis morCilebas cxadyofs _

moedani kvadratebadaa dayofili, yvela adamiani gadanomrilia, moedanze

suraTebi, droSebi da keTildReobis simboloebi Cndeba. aseT saerTo scenars

daqvemdebarebuli adamiani kargavs pirovnul Tvisebebs, brZanebis zusti da

sinqronuli Sesruleba mas siamovnebasac ki aniWebs.

nebismieri sanaxaobis, magaliTad, saxalxo zeimebis, karnavalebis monawileebi

ikeTeben nairgvar niRbebs. es Taviseburi artistizmis gamovlinebaa, vinaidan

adamians surs, iseTad ar gamoCndes, rogoric is namdvilad aris. policieli da

jariskaci SeiZleba iyos Zlieric da sustic, patiosanic da upatiosnoc, magram,

rogorc ki uniformas Caicvams, maSinve simamacisa da udreki nebis simbolod

iqceva. es principi _ raime saxes amoefaro, raTa adamianebze imoqmedo _

safuZvlad udevs nebismier samsaxiobo moqmedebas. amasTan, `niRabi~ erTgvarad

aTavisuflebs niRbis matarebels Cadenil saqcielze pasuxismgeblobisgan.

TiTqos ucnauria, magram yvelaze naklebad swored msaxiobebi cruoben.

winaswar cnobilia, rom piesis personaJebTan maT araferi akavSirebT. yovelTvis

sainteresoa, Tvali vadevnoT adamianis TamaSs, garkveuli azriT, TvalTmaqcobas.

Tumca, piesis personaJebis cxovrebaSi momxdari ambavi sabolood msaxiobis

cxovrebis ambavic xdeba. msaxiobi swavlobs teqsts, iTvisebs rols da

mayurebelic, roca cxovrebaSi xvdeba msaxiobs, mas uneburad miawers mis mier

gansaxierebuli personaJis Tvisebebs. msaxiobi TiTqos scenis gareSec atarebs

raRac uxilav mantias, romelic mas personaJTan aigivebs.

9

15. qvemoT CamoTvlilTagan romeli gamoxatavs I abzacis winadadebebs Soris arsebul mimarTebas?

(a) I da II winadadebebiT gadmocemul movlenebs Soris arsebobs

mizezSedegobrivi kavSiri; aseTive urTierTmimarTebaa III da IV winadadebebs

Soris

(b) I-sa da III winadadebebs msgavsi funqcia aqvT, TiToeuli aRniSnavs xelovnebis

konkretuli dargis specifikur niSans; Tavis mxriv, es niSnebi

urTierTsapirispiroa

(g) II-sa da IV winadadebebs msgavsi funqcia aqvT, TiToeuli maTgani akonkretebs

da ganmartavs wina winadadebas; amasTan, oriveSi identuri magaliTebia

moyvanili

(d) I-sa da III winadadebebSi gamoTqmuli mosazrebebidan gamomdinare daskvna

warmodgenilia V winadadebaSi

16. teqstSi moyvanilia sxvadasxva tipis sanaxaobis ramdenime magaliTi: I _ sasamarTlo procesis;

II _ gladiatorebis brZolis;

III _ eSafotis;

IV _ aRlumis.

maTgan romelSi ar aris aRniSnuli mayureblis reaqcia sanaxaobaze?

(a) mxolod I magaliTSi

(b) mxolod II magaliTSi

(g) II-sa da III magaliTebSi

(d) I-sa da IV magaliTebSi

17. fraza _ `moedani kvadratebadaa dayofili, yvela adamiani gadanomrilia~ _ miuTiTebs:

(a) mowesrigebul sazogadoebaze _ yvelam icis Tavisi adgili, TiToeuli

eqvemdebareba brZanebas, mTavaria misi zustad da sinqronulad Sesruleba

(b) erTsaxovan sazogadoebaze _ adamianis saxeli ukana planze gadadis, igi

danomrilia, kargavs pirovnul Tvisebebs

(g) qveSevrdomTa masis ganwyobaze _ am sazogadoebaSi SeiZleba popularuli

iyos masobrivi sanaxaobani, romlebic mis monawileebs siamovnebas aniWebs

(d) masobriv sanaxaobaze _ yvelas uniforma acvia, moedanze suraTebi, droSebi

da keTildReobis simboloebi Cndeba

10

18. cnobilia, rom vikingebi, tevtoneli raindebi, iaponeli samuraebi da sxva meomrebi mowinaaRmdegis SesaSineblad rqebian niRbebs ikeTebdnen.

romeli abzacis sailustraciod SeiZleba gamoviyenoT es cnoba?

(a) I abzacis, radgan aq saubaria sanaxaobaze, da Zveli Serkinebebi, raindebis,

samuraebis brZola, upirvelesad, sanaxaoba iyo

(b) III abzacis, radgan aq saubaria gladiatorebis brZolaze mtacebel

cxovelebTan, rqebiani niRabi ki romelime cxovels amsgavsebda mebrZols

(g) V abzacis, radgan aq saubaria principze _ raime saxes amoefaro, raTa

adamianebze imoqmedo. amasTan, es artistizmis gamovlinebac iyo

(d) V abzacis, radgan aq saubaria niRabze, romelic Cadenil saqcielze

pasuxismgeblobisgan aTavisuflebs mis matarebels

19. teqstSi gvxvdeba Semdegi winadadebebi: 1. `rolis TamaSi erTgvarad mayureblis SecdomaSi Seyvana, motyuebaa~.

2. `yvelaze naklebad swored msaxiobebi cruoben~.

qvemoT CamoTvlilTagan romeli daskvnis gamotana SeiZleba maTi

urTierTSejerebis safuZvelze?

(a) rolis Sesrulebisas msaxiobi yovelTvis atyuebs mayurebels, Tumca, naklebad

cruobs maSin, rodesac bevri saerTo aqvs mis mier gansaxierebul

personaJTan

(b) msaxiobi ganasaxierebs sxva adamians _ erTgvarad cruobs, Tumca, yvelaze

naklebad, radgan TamaSis dawyebamde cnobilia, rom is sxva adamianad

gardaisaxeba

(g) rolis TamaSi niSnavs, iseTad ar gamoiyurebode, rogoric xar; Tu es kargad

gamosdis msaxiobs, is gvatyuebs, Sesabamisad, ucnauria mtkiceba, TiTqos isini

yvelaze naklebad cruobdnen

(d) msaxiobi scenis gareSec atarebs raRac uxilav mantias, romelic mas

gansaxierebul personaJTan aigivebs, rasac SecdomaSi Sehyavs mayurebeli

11

20. qvemoT mocemulia ramdenime citata statiidan: 1. niurnbergis procesze samxedro damnaSaveebi Tavs imiT imarTlebdnen, rom,

rogorc adamianebi, piradad isini damnaSaveni ar iyvnen, isini mxolod maTze

dakisrebul rolebs asrulebdnen.

2. silis gawvna kinoSi yovelTvis namdvilia da msaxiobs marTlac stkiva;

sazogadod, yovelgvari Sexeba, mofereba iqneba Tu muStis kvra, adamianis piradi

sivrcis darRvevaa, misi imitireba ki SeuZlebelia.

3. gasamxedroebuli warmodgenebis siyvaruli, saTanado gemovneba asaxulia

miuzik-holis im mizanscenebSi, romlebSic uniformaSi gamowyobili qaliSvilebi

sinqronulad abakuneben fexebs, marSiT dadian da figurebad `ewyobian~.

romel abzacebs exmianeba es citatebi?

(a) 1 _ II abzacs, 2 _ VI abzacs, 3 _ I abzacs

(b) 1 _ II abzacs, 2 _ III abzacs, 3 _ IV abzacs

(g) 1 _ IV abzacs, 2 _ III abzacs, 3 _ V abzacs

(d) 1 _ V abzacs, 2 _ VI abzacs, 3 _ IV abzacs

analogiebi

am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva (sawyisi

wyvili), romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. maT gaswvriv

mocemulia sityva, romelsac savaraudo pasuxebidan unda SeusabamoT erT-erTi

varianti, ise, rom sityvaTa mniSvnelobebs Soris mimarTeba sawyis wyvilSi

arsebuli mimarTebis analogiuri iyos.

21. waaxalisa : aukrZala miuZRvna : (a) miiTvisa

(b) aCuqa

(g) gauziara

(d) Seswira

22. konkursi : konkursanti Cempionati : (a) Cempioni

(b) sportsmeni

(g) fexburTeli

(d) finalisti

23. Sedareba : gansxvaveba gamokvleva : (a) gaanalizeba

(b) migneba

(g) misadageba

(d) msjeloba

12

24. wyali : sarke yvavili : (a) sunamo

(b) surneli

(g) neqtari

(d) Taiguli

25. qveteqsti : dafaruli citata : (a) dasazustebeli

(b) dasabuTebuli

(g) gameorebuli

(d) mimsgavsebuli

26. farda : dasasruli scena : (a) ovacia

(b) afiSa

(g) nawili

(d) centri

winadadebebis Sevseba

am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaa

gamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli.

erTi xazi zogjer erT sityvas gulisxmobs, zogjer ki _ ramdenimes.

savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlis

nawilebi erTmaneTisgan daxrili xazebiTaa (/) gamijnuli. airCieT pasuxis is

varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis

gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.

27. federiko felini ambobda: _____ azrs, rom xelovans sruli Tavisufleba _____ . Tavis nebaze miSveba, imis keTebis Tavisufleba, rac moesurveba, _____ .

Tu ramea saSiSi xelovanisTvis, esaa swored miTi _____ sasikeTo gavlenis

Sesaxeb.

(a) bolomde veTanxmebi / ar unda mivaniWoT / aucilebelia imisTvis, rom

xelovanma sakuTari niWis realizacia SeZlos / kritikosTa azris zewolisa

da cenzuris SezRudvebis

(b) ar veTanxmebi / xels ar uwyobs sakuTari niWis realizaciaSi / aucilebelia

SemoqmedisaTvis / totaluri Tavisuflebisa Tu STagonebis lodinis

(g) bolomde veTanxmebi / xels uwyobs sakuTari niWis realizaciaSi / Semoqmeds

srul umoqmedobamde miiyvans / kritikosTa azris zewolisa da cenzuris

SezRudvebis

(d) ar veTanxmebi / unda mivaniWoT / xelovans bolos iqamde miiyvans, rom is

sul arafers gaakeTebs / totaluri Tavisuflebisa Tu STagonebis lodinis

13

28. zogierTi filosofosi amtkicebs, rom samarTlianobis arsi _____ unda veZeboT, _____ bunebriv samarTalSi, romelic saerToa yvela xalxisaTvis. es

moazrovneebi, ra Tqma unda, Seuvali sikerpiT daicavdnen TavianT azrs, _____

erTi sayovelTao zneobrivi kanoni. magram daxeT bedis dacinvas: adamianebis

Tavneboba imdenad mravalgvaria, rom _____ arsebobs.

(a) mxolod adaT-wesebsa da zne-CveulebebSi / da ara _ / rom ar arsebuliyo

arc / aseTi kanoni marTlac ar

(b) ara mxolod adaT-wesebsa da zne-CveulebebSi / aramed, agreTve, / rom

aRmoeCinaT Tundac / uamravi aseTi kanoni

(g) adaT-wesebsa da zne-CveulebebSi ki ar / aramed / rom aRmoeCinaT Tundac /

aseTi kanoni erTic ki ar

(d) arc adaT-wesebsa da zne-CveulebebSi / arc / rom arsebuliyo Tundac /

ramdenime aseTi kanoni marTlac

29. amqveynad wignebis raodenoba sul ufro gaizrdeba da SegviZlia iseTi drois dadgomac viwinaswarmetyveloT, roca _____ swavla wignebidan, rogorc _

uSualod samyaros kvleviT; roca _____ mosaxerxebeli iqneba WeSmaritebis ama

Tu im marcvlis Zebna _____ , vidre _ misi Zebna akinZuli tomebis uzarmazar

simravleSi.

(a) TiTqmis iseve Zneli iqneba raimes / aranakleb / Tavad bunebaSi

(b) iseve SesaZlebeli iqneba yvelafris / ufro / biblioTekebSi

(g) iseve SeuZlebeli iqneba raimes / nakleb / biblioTekebSi

(d) TiTqmis iseve ioli iqneba yvelafris / metad / Tavad bunebaSi

30. televizias erTdroulad or rameSi sdeben brals da, _____ , erTi da igive adamianebi: erTi, rom _____ , Secvalos samyaro; meorec, rom _____ .

(a) rogorc mosalodnelia / is cdilobs / misi mcdelobis miuxedavad, samyaro

ukeTesobisken ar icvleba

(b) rogorc mosalodnelia / is ar cdilobs / misi mcdelobiT samyaro dRiTi

dRe uaresi xdeba

(g) rac marTlac ucnauria / mas SeuZlia / is ar cdilobs, ukeTesobisken

Secvalos samyaro

(d) rac marTlac ucnauria / is uZluria / misi gamoisobiT samyaro dRiTi dRe

uaresi xdeba

14

logika

am saxis davalebebi gansxvavdeba erTmaneTisgan monacemebisa da gamosatani

daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT SekiTxvas,

romelic axlavs TiToeul davalebas, da mocemuli variantebidan airCieT

Sesabamisi pasuxi.

zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva

naxazis formiT.

31. anim koncertze mosawvevi baraTi miiRo. misTvis baraTis gamogzavna mxolod misi oTxi megobridan erT-erTs SeeZlo. anim hkiTxa megobrebs: `vin gamomigzavna

mosawvevi baraTi?~

nika: mosawvevi baraTi lukam gamogigzavna.

luka: ara, me ar gamomigzavnia.

giorgi: me ar gamomigzavnia.

Tika: biWebidan mxolod erTi ambobs simarTles.

qvemoT CamoTvlilTagan romeli SemTxvevaa SesaZlebeli?

(a) simarTle Tqva Tikamac da giorgimac

(b) Tikam simarTle Tqva, lukam ki icrua

(g) Tikam icrua, xolo samive biWma simarTle Tqva

(d) Tikam icrua, biWebidan orma Tqva simarTle

32. statistikuri monacemebis mixedviT, kerZo seqtorSi dasaqmebuli specialistis Semosavali saSualod 50%-iT aRemateba imave kvalifikaciis mqone specialistis

Semosavals sajaro samsaxurSi. amis miuxedavad, sajaro samsaxurSi maRali

kvalifikaciis specialistebis nakleboba ar aris. eqspertma ivarauda, rom sajaro

moxeleebis muSaobis ZiriTadi motivi ar aris finansuri daintereseba.

qvemoT CamoTvlilTagan romeli viTareba ayenebs eWvqveS am varauds?

(a) kerZo seqtorSi dasaqmebuli specialistebisTvis Tanamdebobrivi dawinaurebis

da, Sesabamisad, anazRaurebis gazrdis albaToba ufro mcirea, vidre _

sajaro samsaxurSi dasaqmebulTaTvis

(b) sajaro samsaxurebSi specialistebis kvalifikaciis mimarT bevrad ufro

maRali moTxovnebia, vidre _ kerZo seqtorSi

(g) kerZo seqtorSi mosamsaxureebs samuSaos SenarCunebis TvalsazrisiT ufro

meti stabilurobis gancda aqvT, vidre _ sajaro seqtorSi dasaqmebul

specialistebs

(d) kerZo seqtorSi didi moTxovnaa kvalificiur specialistebze, Sesabamisad,

kerZo kompaniebi cdiloben, saukeTeso pirobebi SesTavazon TanamSromlebs

15

33. mocemulia sami winadadeba: I. yvela kaWkaWi qurdbacacaa.

II. zogierTi qurdbacaca galiaSi zis.

III. zogierTi kaWkaWi galiaSi zis.

qvemoT CamoTvlilTagan romeli debuleba aRwers sworad am winadadebebs Soris

mimarTebas?

(a) I da II winadadebebidan gamomdinareobs III

(b) I da III winadadebebidan gamomdinareobs II

(g) II da III winadadebebidan gamomdinareobs I

(d) arc erTi maTgani ar gamomdinareobs danarCeni oridan

34. mocemulia:

• yvela kargi momRerali kargi musikosia. • kargi momRerlebi yvela qveyanaSi arian. • saqarTveloSi bevri kargi musikosia.

maSasadame, saqarTveloSi bevri kargi momReralia.

es daskvna:

(a) gamomdinareobs mxolod erT-erTi wanamZRvridan

(b) gamomdinareobs mxolod ori wanamZRvridan erTad

(g) gamomdinareobs samive wanamZRvridan erTad

(d) ar gamomdinareobs mocemuli wanamZRvrebidan

16

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

evoluciis Teoriis avtoris Carlz darvinis azriT, bunebrivi gadarCeva

mravali saukunis ganmavlobaSi uwyvetad mimdinareobs da cocxal organizmTa

garemo pirobebTan Seguebuli formebis warmoqmnas ganapirobebs. samxreT amerikis

namarxTa Seswavlisas darvini darwmunda iq mobinadre gadaSenebul da

Tanamedrove cxovelTa msgavsebaSi. man aRmoaCina biologiuri organizmebis e. w.

gardamavali formebic, romlebic sxvadasxva klasis warmomadgenelTa niSan-

Tvisebebs iTavsebdnen. es ki Tanamedrove da gadaSenebul formebs Soris

memkvidreobiTobis arsebobaze metyvelebda.

amave periodSi fizikosebma wamoayenes hipoTeza, rom dedamiwis istoria

gacilebiT ufro xanmoklea, vidre manamde warmoedginaT. Sesabamisad, savaraudo

iyo, rom evolucia naxtomebiT mimdinareobda _ TandaTanobiT mimdinare

`darviniseuli~ evoluciisaTvis dro ar iyo sakmarisi. fizikosTa aRmoCenebi

mniSvnelovani argumenti iyo darvinis Teoriis mowinaaRmdegeTaTvis, romlebic

ar iziarebdnen mis ideas evoluciis TandaTanobiTi da uwyveti xasiaTis Sesaxeb.

wertilovani wonasworobis Teoriis avtorebis stiven goldisa da nails

eldrijis Tanaxmad, namarxi formebis (e. w. geologiuri sabuTebis) `wyvetili~,

arasruli jaWvis arseboba aixsneboda ara imiT, rom napovn formebs Soris

arsebuli yvela gardamavali organizmi jer ar iyo aRmoCenili, aramed im

garemoebiT, rom saxeobaTa warmoSoba marTlac `wyvetilad~, naxtomebiT

mimdinareobda. amis sapirispirod, darvinis mimdevrebi miiCnevdnen, rom zogierTi

saxeobis SemTxvevaSi aRmoCenili `srulyofili~ geologiuri sabuTebi swored

uwyvet, TandaTanobiT mimdinare evoluciur procesze mianiSnebda. am

Tvalsazriss emxrobodnen biometrikosebi k. pirsoni da u. ueldoni, romlebic

amtkicebdnen, rom gazomvadi niSan-Tvisebebi (simaRle, sigrZe, wona da a. S.,

romlebsac biometria Seiswavlis) TandaTanobiT icvleba, rac swored evoluciis

uwyvetobaze metyvelebs.

wyvetili evoluciis ideas safuZveli Seuqmna hugo de frizis kvlevebma.

mis mier miRebuli Sedegebis Tanaxmad, individualuri maxasiaTeblebi Taobidan

Taobas gadaecema yovelgvari Serevisa da gasaSualoebis gareSe, Tumca, amasTanave,

ama Tu im TaobaSi Cndeba erTi da imave saxeobis organizmTa axali nairsaxeoba,

romelic mkveTrad gansxvavdeba danarCenebisgan da Tavis gansxvavebul niSan-

Tvisebebs memkvidreobiT gadascems STamomavlobas. aseT uecar cvlilebebs frizma

mutaciebi uwoda. mutaciis fenomenis aRmoCenam TiTqosda sabolood dausva

wertili mecnierTa davas evoluciis xasiaTis Sesaxeb. Tumca, Semdgomi kvlevebiT

gairkva, rom mutaciebis Teoriis safuZvelze yvelaferi ver aixsneboda da

uwyveti evoluciis idea isev aqtualuri gaxda.

amerikeli genetikosi uiliam kasli ikvlevda gadarCevis gavlenas

kurdRlebis Seferilobis cvalebadobaze. misi mizani iyo mutaciebis Teoriis

mxardasaWeri eqsperimentuli sabuTebis mopoveba. magram aRmoCnda, rom TeTri da

ruxi kurdRlebis Sejvarebis Sedegad axal individebSi Cndeba `Sereuli~

Seferiloba (TeTr kurdRlebs zurgze uCndebaT ruxi laqebi), romelic

eqsperimentis sawyis etapze am populaciaSi ar SeimCneoda, da rom populaciis

maxasiaTebelTa cvlilebis asaxsnelad uwyveti, anu TandaTanobiTi evolucia

sakmaod efeqturi iyo.

17

35. qvemoT CamoTvlilTagan romeli faqti ar gamodgeba evoluciis mimdinareobis darviniseuli koncefciis mxardasaWerad? (upasuxeT I abzacis mixedviT)

(a) gadaSenebul da Tanamedrove organizmTa msgavseba agebulebiTa Tu sxva niSan-

TvisebebiT

(b) sxvadasxva klasisTvis specifikuri niSan-Tvisebebis Tavmoyra organizmTa

gardamaval formebSi

(g) Tanamedrove da gadaSenebul cxovelTa formebis damakavSirebeli rgolis

aRmoCena

(d) iseTi namarxebis arseboba, romlebic adasturebs evoluciis procesSi

sxvadasxva klasis organizmTa urTierTmonacvleobas

36. qvemoT CamoTvlilTagan romeli varaudis sawinaaRmdegod metyvelebda fizikosTa aRmoCenebi da, Sesabamisad, eWvqveS ayenebda darvinis Sexedulebas

evoluciis xasiaTis Sesaxeb?

es iyo varaudi:

(a) bunebrivi gadarCevis Sedegad saxeobaTa maxasiaTeblebis uecari cvlilebebis

Sesaxeb

(b) evoluciis neli, xangrZlivi mimdinareobis Sesaxeb

(g) garemo pirobebTan organizmTa Seguebis procesis kanonzomieri mimdinareobis

Sesaxeb

(d) Tanamedrove da gadaSenebul formebs Soris memkvidreobiTobis Sesaxeb

37. qvemoT CamoTvlilTagan romeli gadmoscems Semdegi winadadebis Sinaarss: `mutaciis fenomenis aRmoCenam TiTqosda sabolood dausva wertili mecnierTa

davas evoluciis xasiaTis Sesaxeb~?

(a) am aRmoCenam ganapiroba wyvetili evoluciis momxreTa saboloo gamarjveba

(b) am aRmoCenam ganapiroba wyvetili da uwyveti evoluciis momxreTa poziciebis

daaxloeba da saboloo SeTanxmeba

(g) am aRmoCeniT Seiqmna wyvetili evoluciis momxreTa saboloo gamarjvebis

STabeWdileba

(d) am aRmoCeniT uwyveti evoluciis momxreebi darwmundnen TavianTi

Tvalsazrisis marTebulobaSi

18

38. rogor SeiZleba davaxasiaToT kaslis eqsperimentis Sedegebis mimarTeba de frizis TeoriasTan?

(a) kaslis Sedegebi ewinaaRmdegeboda de frizis varauds, romlis Tanaxmad, niSan-

Tvisebebi, Cveulebriv, Serevis gareSe gadaecema STamomavlobas

(b) kaslis Sedegebi eWvqveS ayenebda de frizis aRmoCenas, romlis Tanaxmad, yovel

TaobaSi Cndeba mkveTrad gansxvavebuli niSan-Tvisebebi

(g) kaslis Sedegebi ganamtkicebda de frizis varauds mutaciuri cvlilebebis

uecari gaCenis Sesaxeb

(d) kaslis Sedegebi arc ewinaaRmdegeboda da arc mxars uWerda de frizis

aRmoCenas individualur maxasiaTebelTa gasaSualoebis gareSe gadacemis

Sesaxeb

39. ra mimarTebaa teqstis I abzacsa da danarCen abzacebs Soris?

(a) teqstis danarCen abzacebSi mocemulia mxolod iseTi argumentebi, romlebic

ewinaaRmdegeba I abzacSi ganxilul Teorias

(b) teqstis danarCen abzacebSi warmodgenilia I abzacSi ganxiluli Teoriis

gamamyarebeli argumentebi

(g) teqstis zogierTi abzaci Seicavs I abzacSi ganxiluli Teoriis mxardamWer

argumentebs, zogi ki _ mis sawinaaRmdego sabuTebs

(d) teqstis bolo abzacSi warmodgenilia I abzacSi ganxiluli Teoriis

sawinaaRmdego argumenti, yvela sxva abzacSi ki _ misi gamamyarebeli sabuTebi

40. mocemuli teqstis mizania:

(a) gagvacnos evoluciis mimdinareobis Sesaxeb gansxvavebuli Teoriebi da

TiToeulis damadasturebeli Tu sawinaaRmdego argumentebi

(b) ganixilos evoluciis TeoriasTan dakavSirebuli urTierTsawinaaRmdego

mosazrebebi da dagvanaxos momavali kvlevis perspeqtiva

(g) ganixilos geologiuri, biometriisa Tu eqsperimentuli biologiis monacemebi,

romlebic evoluciis uwyvetobis sasargeblod metyvelebs

(d) gagvacnos gansxvavebuli poziciebi evoluciis bunebis Sesaxeb da daasabuTos

erT-erTi maTganis marTebuloba

19

Savi samuSaosTvis

21

maTematikuri nawili testis maTematikur nawilze muSaobisas gaiTvaliswineT:

naxazebi, romlebic Tan erTvis zogierT davalebas, ar aris Sesrulebuli davalebis pirobaSi miTiTebuli zomebis zusti dacviT. amitom monakveTebis

sigrZis an sxva sidideebis Sesaxeb daskvnis gamotanisas nu daeyrdnobiT naxazis

zomebs. yuradReba gaamaxvileT davalebis pirobaze;

Tu naxazze mocemuli swori xazis Sesaxeb amocanis pirobaSi damatebiT araferia naTqvami, maSin unda CaTvaloT, rom es swori xazi wrfea an misi nawili;

testSi gamoyenebulia ricxvTa Caweris mxolod aTobiTi poziciuri sistema. maTematikuri aRniSvnebi da formulebi:

1. nuli arc dadebiTia da arc uaryofiTi; 1 ar aris martivi ricxvi.

2. procenti: a ricxvis k% aris .

3. xarisxi: an = a · a · a · ...· a (n-jer)

an · am = an + m

an : am = an – m

(an)m = an · m 4. proporcia: Tu , maSin ad = bc.

5. siCqare: dro

manZilisiCqare

6. saSualo ariTmetikuli:

raodenoba monacemTa

jami monacemTasaSualo monacemTa

7. albaToba: Tu yvela elementaruli xdomiloba Tanabrad mosalodnelia, maSin

xdomilobis albaToba tolia am xdomilobis

xelSemwyob elementarul xdomilobaTa

raodenobis Sefardebisa elementarul

xdomilobaTa saerTo raodenobasTan.

Tu amocanis pirobaSi sawinaaRmdego araa

naTqvami, yovelTvis igulisxmeba, rom elementa-

ruli xdomilobebi Tanabrad mosalodnelia.

8. Semoklebuli gamravlebis formulebi:

(a + b)2 = a2 + 2ab + b2

(a – b)2 = a2 – 2ab + b2

(a + b)(a – b) = a2 – b2 9. naxazze kuTxe SeiZleba moniSnuli iyos kuTxis

gverdebs Soris Casmuli

patara rkaliT, marTi kuTxe

ki _ patara kvadratiT.

A aRniSnavs A kuTxis sidides.

10. paraleluri wrfeebi: ori paraleluri wrfis mesame

wrfiT gadakveTisas Siga jvaredina

kuTxeebi tolia: α = β. 11. samkuTxedi:

samkuTxedis kuTxeebis sidideTa jami 180°-is tolia;

piTagoras Teorema: marTkuTxa samkuTxedis hipotenuzis sigrZis kvadrati kaTetebis sigrZeTa kvadratebis jamis tolia:

AB2 = AC2 + BC2 samkuTxedis farTobi samkuTxedis

gverdis sigrZisa da Sesabamisi simaRlis

namravlis naxevris tolia: . 12. oTxkuTxedi:

oTxkuTxedis kuTxeebis sidideTa jami 360°-is tolia;

marTkuTxedis farTobi misi sigrZisa da siganis namravlis tolia: S = ab;

paralelogramis farTobi misi gverdis sigrZisa da am gverdis Sesabamisi simaRlis namravlis tolia: S = ah.

13. wre, wrewiri: wrewiris sigrZe misi

radiusis mixedviT gamoiTvleba formuliT: L = 2r; ricxvi, measedis sizustiT, 3,14-is tolia;

r radiusiani wris farTobi gamoiTvleba formuliT: S = r2.

14. marTkuTxa paralelepipedi: marTkuTxa paralelepipedis

moculoba misi sigrZis, siganisa da simaRlis namravlis tolia: V = abc;

kubis SemTxvevaSi: a = b = c.

22

raodenobrivi Sedareba

SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi.

Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSi mocemul raodenobaze, airCieT (a);

Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSi mocemul raodenobaze, airCieT (b);

Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g);

Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaa

meti, airCieT (d).

A B 41.

(a) (b) (g) (d)

42.

A da B qalaqebidan erTmaneTis Sesaxvedrad erTdroulad gamovida ori matarebeli. rogorc

pirveli, aseve, meore matarebeli Seuferxeblad,

Tanabari siCqariT moZraobda. Sexvedris Semdeg

pirvel matarebels B qalaqSi Casasvlelad 4 saaTi dasWirda, meores A-Si Casasvlelad ki _ 2 saaTi.

(a) (b) (g) (d)

43.

or tol wrewirs mxolod erTi

saerTo wertili aqvs da maTi

centrebi didi wrewiris diametrze

mdebareobs. TiToeul maTgans did

wrewirTanac mxolod erTi saerTo

wertili aqvs.

(a) (b) (g) (d)

49453217

53

meore matareblis siCqare

pirveli matareblis siCqare

didi wrewiris sigrZe patara wrewirebis

sigrZeTa jami

23

44.

finjani 6-jer iafia larnakze, xolo TefSi _ 2-jer.

(a) (b) (g) (d)

45.

(a) (b) (g) (d)

46.

badis TiToeuli ujredi

kvadratia. ABC da MNK texilebis wveroebi badis

kvanZebs emTxveva (ix. naxazi).

(a) (b) (g) (d)

3 finjnis Rirebuleba TefSis Rirebuleba

22 ba ba 22 ba 2

ABC texilis sigrZe MNK texilis sigrZe

24

amocanebi

47. ramdeniT metia udidesi luwi oTxniSna ricxvi udides kent samniSna ricxvze?

(a) 9-iT (b) 8999-iT

(g) 9001-iT (d) 9898-iT (e) 9899-iT

48. vanom 81-gverdiani moTxroba 3 dReSi waikiTxa. yovel momdevno dRes is winasTan SedarebiT 2 gverdiT mets kiTxulobda. ramdeni gverdi waukiTxavs vanos pirvel dRes?

(a) 21 (b) 23 (g) 25 (d) 27 (e) 29

49. Tu kvadratis farTobi tolia im marTkuTxedis farTobisa, romlis sigrZe 9 sm-ia, xolo sigane _ 4 sm, maSin am kvadratis perimetria:

(a) 12 sm (b) 13 sm (g) 18 sm (d) 24 sm (e) 26 sm

25

50. romelia is ricxvi, romlis 37 nawili udris 35-s?

(a) 12 (b) 14 (g) 15 (d) 18 (e) 21

51. gigas a cali feradi kenWi hqonda. man Tavis Tanaklaselebs or-ori kenWi aCuqa. amis Semdeg mas 3 kenWi darCa. ramden Tanaklasels aCuqa kenWebi gigam?

(a) 5a

(b) 32 a

(g) 3

2a

(d) 2

3a

(e) 2

3a

26

monacemTa analizi

seqtemberSi gamomcemloba sxvadasxva sagnis saxelmZRvaneloebs yidda. diagramaze

mrudebiT SemosazRvrulia areebi, romlebic gviCvenebs, Tu romel dReebSi yidda

gamomcemloba maTematikis, istoriis, geografiisa da biologiis saxelmZRvaneloebs

da ra farglebSi meryeobda erTi egzemplaris fasi dRis ganmavlobaSi.

magaliTad, diagramidan Cans, rom 10 seqtembers gamomcemloba yidda maTematikisa da istoriis saxelmZRvaneloebs, amasTan, maTematikis saxelmZRvaneloebis fasi am

dRis ganmavlobaSi 5,4-6,8 laris farglebSi meryeobda, xolo istoriisa _ 6,2-7,4 laris farglebSi.

diagramis mixedviT upasuxeT Semdeg 4 SekiTxvas: 52. biologiis saxelmZRvanelos minimaluri fasi istoriis saxelmZRvanelos minimalur fasze metia:

(a) 0,2 lariT (b) 0,4 lariT (g) 0,6 lariT (d) 0,8 lariT (e) 1,0 lariT

53. romel dRes da romeli saxelmZRvanelos fasi meryeobda 5,8-6,4 laris farglebSi? (a) geografiis saxelmZRvanelos fasi 28 seqtembers (b) biologiis saxelmZRvanelos fasi 22 seqtembers (g) istoriis saxelmZRvanelos fasi 16 seqtembers

(d) maTematikis saxelmZRvanelos fasi 6 seqtembers (e) aseTi SemTxveva ar yofila

27

54. ramdeni dRe iyo iseTi, romlis ganmavlobaSic gamomcemloba sami dasaxelebis saxelmZRvanelos yidda? (a) 4 (b) 5 (g) 6 (d) 7 (e) 8

55. romeli winadadebaa marTebuli diagramis mixedviT? (a) maTematikis saxelmZRvanelos fasi yovelTvis naklebi iyo istoriis

saxelmZRvanelos fasze

(b) im dReebSi, roca geografiis saxelmZRvaneloebi iyideboda, istoriis

saxelmZRvaneloebi ar iyideboda

(g) Tvis ganmavlobaSi zogierT dRes oTxive dasaxelebis saxelmZRvanelo

iyideboda

(d) Tvis ganmavlobaSi ufro meti maTematikis saxelmZRvanelo gaiyida, vidre _

geografiisa

(e) im dReebis raodenoba, roca iyideboda rogorc maTematikis, aseve istoriis

saxelmZRvaneloebi, naklebia im dReebis raodenobaze, roca iyideboda rogorc

biologiis, aseve geografiis saxelmZRvaneloebi

amocanebi

56. Tu x da y iseTi ricxvebia, rom 032 y

x , maSin:

(a) 0x (b) 0y (g) 032 yx (d) 032 yx (e) 0xy

57. oTxi wrfis gadakveTisas miRebuli kuTxeebidan zogierTis sidide miTiTebulia naxazze. (a) 100° (b) 110° (g) 120° (d) 130° (e) 140°

28

58. sami Zmis saSualo asaki 12 welia. ris toli iqneba maT asakTa jami 5 wlis Semdeg?

(a) 27 wlis (b) 36 wlis (g) 42 wlis (d) 51 wlis (e) 60 wlis

59. x, y da z aTze naklebi iseTi naturaluri ricxvebia, rom x + z + xy = 93. ris tolia z ?

(a) 3 (b) 4 (g) 5 (d) 6 (e) 7

60. klasSi moswavleTa raodenoba 35-ze naklebia. sakontrolo weris Sedegebi aseTi iyo: moswavleTa meeqvsedma miiRo 9 qula, mexuTedma _ 8 qula, danarCenebma _ 7 qula. ramden moswavles miuRia 7 qula?

(a) 16 (b) 17 (g) 18 (d) 19 (e) 20

29

raodenobrivi Sedareba

SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi.

Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSi mocemul raodenobaze, airCieT (a);

Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSi mocemul raodenobaze, airCieT (b);

Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g);

Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaa

meti, airCieT (d).

A B 61.

(a) (b) (g) (d)

62.

saswavlebelSi 2001-2008 wlebSi pirvel kursze

yovelwliurad erTi da

imave raodenobis

studenti iricxeboda.

diagramaze warmodgenilia,

Tu ris toli iyo

gogonaTa procentuli

wili pirvelkurselebSi 2001-2008 wlebSi.

(a) (b) (g) (d)

25-dan 26-is CaTvliT yvela mTeli ricxvis

jami

26-dan 25-is CaTvliT yvela mTeli ricxvis

jami

2001-2008 wlebSi pirvelkurseli gogonebis

udidesi raodenoba

2001-2008 wlebSi pirvelkurseli vaJebis udidesi raodenoba

30

63.

momReralTa konkursis yvela monawilem or turSi

miiRo monawileoba. im momReralTa raodenobebi,

romlebic pirvel turSi Seafases dabali da

saSualo qulebiT, ise Seefardeboda erTmaneTs,

rogorc 2:3, xolo im momReralTa raodenobebi, romlebic meore turSi Seafases saSualo da maRali

qulebiT _ rogorc 3:4.

(a) (b) (g) (d)

64.

k iseTi mTeli ricxvia, rom 1000100010203,0 k .

(a) (b) (g) (d)

65.

M wertili oTxkuTxa piramidis AD wibos Suawertilia, xolo N wertili _ BC wibos Suawertili.

(a) (b) (g) (d)

im momReralTa raodenoba, romlebic pirvel turSi Seafases

saSualo qulebiT

im momReralTa raodenoba, romlebic meore turSi Seafases saSualo qulebiT

5k

MKN KMN

31

amocanebi

66. marTkuTxa sakoordinato sibrtyeze mocemulia wrewiri, romlis centria 4;3K . ris tolia am wrewirze mdebare wertilebis

y-koordinatebidan udidesis mniSvneloba, Tu x-koordinatebidan umciresis mniSvneloba 1-is tolia? (a) 4 (b) 5 (g) 6 (d) 7 (e) 8

67. m, n da k naturaluri ricxvebidan TiToeuli 3-ze metia. ras udris am ricxvebis jami, Tu maTi namravli 140-is tolia?

(a) 14 (b) 15 (g) 16 (d) 17 (e) 18

68. furceli gaWres Suaze, Semdeg TiToeuli naWeri isev Suaze gaWres da ase moiqcnen kidev 6-jer. miRebuli naWrebis raodenobaa: (a) 82 (b) 821 (g) 62 (d) 623 (e) 62·3

69. ABC samkuTxedSi CBA . CamoTvlilTagan romlis toli SeiZleba iyos am samkuTxedis gverdebis sigrZeebi?

(a) 7 sm, 7 sm, 9 sm (b) 3 sm, 7 sm, 8 sm (g) 9 sm, 6 sm, 4 sm (d) 4 sm, 4 sm, 5 sm (e) 6 sm, 8 sm, 8 sm

32

70. naturaluri ricxvis `sigrZe~ vuwodoT am ricxvis martiv TanamamravlTa raodenobas. magaliTad, 24-is `sigrZe~ 4-is tolia, radgan 322224 . maqsimum ris toli SeiZleba iyos 100-ze naklebi kenti ricxvis `sigrZe~?

(a) 3 (b) 4 (g) 5 (d) 6 (e) 7

71. b da y iseTi ricxvebia, rom 2b da 032 by . CamoTvlilTagan romlis toli SeiZleba iyos y ?

(a) 4,5 (b) 4,2 (g) 3,5 (d) 3,1 (e) 2,8

monacemTa sakmarisoba

72. ABCD paralelogramis AD gverdis sigrZe 4 sm-ia.

mocemulia ori piroba:

I. paralelogramis AD gverdis Sesabamisi simaRle 2 sm-is tolia. II. paralelogramis AB gverdis Sesabamisi simaRle 3 sm-is tolia.

imis gasarkvevad, Tu ris tolia paralelogramis farTobi:

(a) I piroba sakmarisia, II ki _ ara

(b) II piroba sakmarisia, I ki _ ara

(g) I da II piroba erTad sakmarisia, cal-calke arc erTi ar aris sakmarisi

(d) sakmarisia cal-calke rogorc I, aseve II piroba

(e) mocemuli pirobebi ar aris sakmarisi

33

73. nakveTi didi da patara traqtorebiT moxnes. didi traqtori patarasTan SedarebiT 2-jer ufro swrafad xnavda.

mocemulia ori piroba:

I. did traqtors am nakveTis mosaxnavad 3 dRe dasWirdeboda. II. patara traqtors am nakveTis mosaxnavad 6 dRe dasWirdeboda.

imis gasarkvevad, Tu ramdeni dRe dasWirda am nakveTis moxvnas:

(a) I piroba sakmarisia, II ki _ ara

(b) II piroba sakmarisia, I ki _ ara

(g) I da II piroba erTad sakmarisia, cal-calke arc erTi ar aris sakmarisi

(d) sakmarisia cal-calke rogorc I, aseve II piroba

(e) mocemuli pirobebi ar aris sakmarisi 74. maRaziaSi televizorebis 70% pirveli kviris ganmavlobaSi gaiyida, xolo meore kviraSi gaiyida mxolod 12 televizori, romelTagan naxevari farToekraniani iyo.

mocemulia ori piroba:

I. meore kviris ganmavlobaSi gaiyida darCenili farToekraniani televizorebis

50%. II. ori kviris Semdeg gasayidad darCenili televizorebis mxolod mesamedi

iyo farToekraniani.

imis gasarkvevad, Tu ramdeni televizori iyo maRaziaSi Tavdapirvelad:

(a) I piroba sakmarisia, II ki _ ara

(b) II piroba sakmarisia, I ki _ ara

(g) I da II piroba erTad sakmarisia, cal-calke arc erTi ar aris sakmarisi

(d) sakmarisia cal-calke rogorc I, aseve II piroba

(e) mocemuli pirobebi ar aris sakmarisi

34

75. drois mocemul SualedSi (magaliTad, kviris, Tvis Tu wlis ganmavlobaSi) naleqianobis maCvenebeli ewodeba naleqiani dReebis raodenobis Sefardebas

mocemul SualedSi dReebis saerTo raodenobasTan.

mocemulia ori piroba:

I. ivnisis pirveli 20 dRis ganmavlobaSi naleqiani dReebis raodenoba 10-is toli iyo.

II. ivnisis bolo 20 dRis ganmavlobaSi naleqiani dReebis raodenoba 15-is toli iyo.

imis gasarkvevad, Tu ris toli iyo naleqianobis maCvenebeli ivnisis TveSi:

(a) I piroba sakmarisia, II ki _ ara

(b) II piroba sakmarisia, I ki _ ara

(g) I da II piroba erTad sakmarisia, cal-calke arc erTi ar aris sakmarisi

(d) sakmarisia cal-calke rogorc I, aseve II piroba

(e) mocemuli pirobebi ar aris sakmarisi amocanebi

76. naxazze mocemuli marTkuTxa paralelepipedi, romlis umciresi wibos sigrZea 2 sm, Sedgenilia toli kubebisgan. ris tolia am paralelepipedis moculoba? (a) 12 sm3 (b) 16 sm3 (g) 20 sm3 (d) 24 sm3 (e) 28 sm3

77. durgali SekveTis Sesasruleblad SabaT-kviris garda yoveldRe muSaobs. igi dReSi 6 skams amzadebs da SekveTaze muSaobas momdevno kviris oTxSabaTs, saRamos daasrulebs. mas rom dReSi 5 skami daemzadebina, maSin SekveTas 1 dRiT gvian Seasrulebda. kviris romel dRes dauwyia muSaoba durgals?

(a) paraskevs

(b) xuTSabaTs

(g) oTxSabaTs

(d) samSabaTs

(e) orSabaTs

35

78. marTkuTxedis erT gverdze moniSnulia 4 wertili, mis mopirdapire gverdze _ 2 wertili. sul ramdenia iseTi oTxkuTxedi, romelTa oTxive wvero moniSnul wertilebs emTxveva?

(a) 3 (b) 6 (g) 9 (d) 12 (e) 15

79. agvistoSi ivlisTan SedarebiT 20%-iT meti turisti Camovida qalaqSi. seqtemberSi turistebis raodenoba wina TvesTan SedarebiT 10%-iT Semcirda. seqtemberSi qalaqSi Camosuli turistebis raodenoba ivlisTan SedarebiT:

(a) Semcirda 2%-iT (b) Semcirda 10%-iT (g) gaizarda 4%-iT (d) gaizarda 8%-iT (e) gaizarda 10%-iT 80. yuTSi wiTeli, Savi da TeTri burTulebi awyvia, sul _ 80 cali. wiTeli burTulebi burTulebis saerTo raodenobis 4

3 -ze mets Seadgens. darCenili

burTulebis 32 nawili Savia. maqsimum ramdeni TeTri burTula SeiZleba iyos

yuTSi? (a) 6 (b) 8 (g) 10 (d) 12 (e) 20

zogadi unarebis 2012 wlis sagamocdo testebis pasuxebi

verbaluri nawili maTematikuri nawili

# var. 1 var. 2 var. 3 var.4 # var. 1 var. 2 var. 3 var.4 1. g d a a 41. b g a b 2. a b g d 42. a b b a 3. g b g a 43. d b g g 4. d g b b 44. b d g a 5. b a a a 45. g d g d 6. d d g g 46. g g a b 7. g a a g 47. a e b g 8. b d g b 48. e g g a 9. a d b a 49. d b d e

10. a g d d 50. d d g b 11. b b a d 51. g a e d 12. g g b g 52. d e b d 13. d a d g 53. g g a g 14. b b d b 54. d b b g 15. b g b g 55. e b e b 16. a d g d 56. b e e b 17. b d b g 57. a e d d 18. d a g g 58. b a d e 19. g a b b 59. e d a b 20. a g d d 60. a g d e 21. b g a b 61. b a b g 22. g d b a 62. g b g a 23. a a b g 63. a a d g 24. g g a b 64. d g a b 25. a g g a 65. a a d d 26. d b d d 66. b a g b 27. g a d b 67. g d g e 28. b b g g 68. e d a d 29. b g a a 69. a b e a 30. g a d g 70. e b b g 31. d g d g 71. b a e a 32. d d a a 72. d g a e 33. b b b b 73. b e d g 34. d d d d 74. e d g a 35. d b d d 75. g a e d 36. a a b b 76. e g d e 37. a b g a 77. g e b d 38. g d a b 78. d d b g 39. g a g d 79. a g d a 40. d b a g 80. b b a d

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