zogadi unarebis testizogadi unarebis testi

20102010instruqcia

testi Sedgeba ori _ verbaluri da maTematikuri _ nawilisgan.TiToeuli nawili 40 davalebas Seicavs. yovel davalebas axlavs oTxi an

xuTi savaraudo pasuxi, romelTagan mxolod erTia swori.

yuradRebiT waikiTxeT davalebaTa instruqciebi, kargad gaiazreT, ra mogeTxovebaT TiToeul davalebaSi, da Semdeg airCieT pasuxi.

arCeuli pasuxi aucileblad moniSneT pasuxebis furcelze, romelic axlavs tests (Sesabamisi instruqcia ixileT pasuxebis furcelze). testis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebis testirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclis safuZvelze.

testis TiToeul nawilze samuSaod geZlevaT 1 saaTi da 30 wuTi.drois amowurvis Sesaxeb gacnobebT meTvalyure.

Tu gaTvaliswinebulze meti droiT SeyovndebiT testis ama Tu im nawilze, Tqveni naSromi ar Semowmdeba.

Tu ar gaqvT romelime davalebis pasuxi, dros nu dakargavT da gadadiT Semdeg davalebaze.

Canawerebis an naxazebisTvis gamoiyeneT mxolod da mxolod testis furclebze arsebuli carieli adgilebi.

gisurvebT warmatebas !

V

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verbaluri nawili 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 msgavsi (analogiuri) iyos.

1. Rrma : ufskruli viwro :

(a) derefani

(b) biliki

(g) xeivani

(d) arxi

2. garemo pirobebi : adaptacia hava :

(a) datenianeba

(b) cvalebadoba

(g) aklimatizacia

(d) prognozireba

3. radikalizmi : stabiluroba eqspansia :

(a) krizisi

(b) hegemonia

(g) separatizmi

(d) suvereniteti

4. monadire : brakonieri mwerali :

(a) diletanti

(b) plagiatori

(g) cenzori

(d) kritikosi

5. avtomanqana : Slagbaumi mdinare :

(a) kalapoti

(b) xidi

(g) jebiri

(d) napiri

6. kanoni : mosamarTle proeqti :

(a) xelosani

(b) mSenebeli

(g) arqiteqtori

(d) dizaineri

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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. vefxvis tyavi, rogorc gmiris gancdebis simbolo, _____ saxea da igi ar unda CaiTvalos _____ alegoriad. _____ , garegnulad msgavsi ram _____ .

(a) moaruli mxatvruli / rusTveliseul originalur / Tumca / sxvaganac

gvxvdeba

(b) rusTvelis mier Seqmnili / moarul / miuxedavad amisa / sxvagan ar gvxvdeba

(g) moaruli mxatvruli / rusTveliseul originalur / Sesabamisad / sxvagan ar

gvxvdeba

(d) rusTvelis mier Seqmnili / moarul / Tumca / sxvaganac gvxvdeba

8. _____ , udabno TevzsaSeni meurneobis ganviTarebisTvis _____ pirobebs qmnis: siTbosmoyvaruli Tevzi xelovnur guburebSi _____ mravldeba, gruntis wylis

miReba ki _____ .

(a) bunebrivia / araxelsayrel / cudad / WaburRilebis saSualebiT martivad

SeiZleba

(b) raoden paradoqsuladac unda JRerdes / SesaniSnav / cudad / udabnoSi did

siZneleebs ukavSirdeba

(g) bunebrivia / araxelsayrel / swrafad / udabnoSi did siZneleebs ukavSirdeba

(d) raoden paradoqsuladac unda JRerdes / SesaniSnav / swrafad /

WaburRilebis saSualebiT martivad SeiZleba

9. `ar arsebobs araviTari peizaJi!~ _ ekamaTeboda modiliani diego riveras. peizaJis uaryofa im mxatvrisgan, romelic aRfrTovanebuli iyo italiis xedebiT,

_______ aixsnas mxolod misi yovlismomcveli interesiT adamianisadmi. _______

modilianisTvis _______ , adamiani _______ mis mxedvelobis ares.

(a) SeiZleba / irgvliv arsebuli garemo, nebismieri peizaJi / aucileblad

gulisxmobda `personaJs~ / mTlianad ver avsebda

(b) ar SeiZleba / gverdiT mcxovrebi adamiani, nebismieri `personaJi~ /

gamoricxavda yovelgvar dekoracias / mTlianad ver avsebda

(g) SeiZleba / gverdiT mcxovrebi adamiani, nebismieri `personaJi~ / gamoricxavda

yovelgvar dekoracias / mTlianad avsebda

(d) ar SeiZleba / irgvliv arsebuli garemo, nebismieri peizaJi / aucileblad

gulisxmobda `personaJs~ / mTlianad avsebda

4

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.

10. mocemulia: • SeuZlebelia, napoleoni vaterloos brZolaSi ar damarcxebuliyo

qvemoT CamoTvlilTagan romeli debulebaa mocemulis tolfasi?

(a) vaterloos brZolaSi napoleonis damarcxeba gardauvali iyo

(b) SeuZlebelia, vaterloos brZolaSi napoleons ar gaemarjva

(g) vaterloos brZolaSi napoleonis damarcxeba gardauvali ar iyo

(d) SesaZlebelia, vaterloos brZolaSi napoleons gaemarjva

11. dito aivnidan sofels gadahyurebda da SeniSna, rom axalaSenebuli saxlebi, ZiriTadad, kramitiT iyo gadaxuruli, Zvelebi ki _ TunuqiT. ditom daaskvna,

rom kramitiT saxlis gadaxurva ufro moduria, vidre _ TunuqiT.

qvemoT CamoTvlilTagan romeli debuleba ayenebs eWvqveS ditos daskvnas?

(a) ditos saxlis aivnidan mTeli sofeli kargad moCans

(b) am ori saxis gadasaxuri masalidan kramiti ufro Zviri Rirs, vidre _

Tunuqi

(g) ditos sofelSi TunuqiT gadaxuruli saxlebi ufro metia, vidre _ kramitiT

gadaxuruli

(d) ditos soflis maxloblad ramdenime wlis win kramitis mwarmoebeli qarxana

gaixsna, ris gamoc soflis mcxovrebTaTvis kramiti ufro xelmisawvdomi gaxda

12. erT-erTi umaRlesi saswavleblis ori pedagogi saubrobs:

I pedagogi _ A jgufSi studentTa umravlesoba swavlobs inglisurs. II pedagogi _ ara, ar xarT marTali!

Tu II pedagogi marTals ambobs, maSin qvemoT CamoTvlilTagan romeli debulebaa

aucileblad WeSmariti?

(a) A jgufSi inglisurs cotani swavloben (b) A jgufis studentTa naxevari swavlobs inglisurs (g) A jgufSi inglisurs swavlobs studentTa naxevarze naklebi (d) A jgufSi inglisurs swavlobs studentTa naxevari an naxevarze naklebi

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13. magidaze erT rigad awyvia xuTi firfita. iqvea saRebavebi da funjebi.

sandrom TiToeul firfitas unda gaukeTos erTi zoli _ wiTeli an lurji,

Tanac ise, rom Sesruldes Semdegi ori piroba:

• wiTelzoliani firfitebi lurjzolian firfitebze meti iyos

• erTmaneTis miyolebiT mdebare sami firfitidan erTi mainc iyos lurjzoliani

sandros amis gakeTeba bevrnairad SeuZlia. qvemoT CamoTvlilTagan romeli

viTareba ganxorcieldeba yvela SemTxvevaSi?

(a) meore firfitas aqvs wiTeli zoli

(b) mesame an meoTxe firfitas (an orives) aqvs wiTeli zoli

(g) pirvel an mexuTe firfitas (an orives) aqvs wiTeli zoli

(d) meoTxe firfitas aqvs lurji zoli

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wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

axali welTaRricxvis dasawyisSi centraluri amerikis teritoriaze maias

xalxma Seqmna qalaqebis mSeneblobasa da ganviTarebaze orientirebuli Zlieri

imperia, romelic mravali qalaq-saxelmwifosgan Sedgeboda. Cveulebriv,

civilizaciebis warmoSobis erT-erTi winapiroba miwaTmoqmedebisa da mesaqonleobis

ganviTarebaa. maias xalxi misdevda miwaTmoqmedebas, Tumca, metad Taviseburs. rac

Seexeba mesaqonleobas, es iyo erTaderTi civilizacia, romelic ar icnobda arc

Sinaur da arc tvirTmzidav saqonels, aqedan gamomdinare, arc borbals.

VIII Tu IX saukuneSi maias qalaqebSi uceb Sewyda didmasStabiani mSeneblobebi,

xalxi uceb aiyara, miatova ostaturad nagebi taZrebi, sasaxleebi da Soreul,

ukacriel CrdiloeTSi* gadasaxlda. maias qalaqebi dacarielda, junglebi pirdapir

quCebSi SeiWra, balaxma dafara piramidebis safexurebi Tu sasaxleTa kibeebi.

maias civilizaciis dacemis savaraudo mizezebs or kategoriad yofen:

araekologiurad (mosaxleobis siWarbe, mtris Tavdasxma, sasicocxlo savaWro

gzebis ganadgureba) da ekologiurad (katastrofebi, epidemiebi, klimatis mkveTri

cvlileba). TiTqos yvelaze bunebrivia axsna, romlis mixedviTac maias xalxi

TavianTi qalaqebidan dampyroblebs ganudevniaT. magram am dros maias samefo

Tavisi didebis mwvervalze iyo. mezobeli xalxebidan ki samxedro ZlierebiT

masTan axlos veravin mividoda. amasTan, mitovebul qalaqebSi dapyrobis

araviTari kvali ar SemorCenila; arc didi katastrofis, an raime epidemiis, an

havis uecari cvlilebis kvali arsebobs.

gansxvavebul hipoTezas gvTavazobs amerikeli mecnieri silvanus morli. maias

qalaqebi warmoadgenda kulturisa da politikuri Zalauflebis centrebs.

SeuZlebeli iyo am qalaqebis arseboba glexis, pirvel rigSi ki, umTavresi

samiwaTmoqmedo kulturis gareSe; es kultura CvenTvis puri iyo, centraluri

amerikis xalxebisTvis ki _ simindi. simindi kvebavda qalaqebs, gabatonebul klasebs,

masze iyo dafuZnebuli mTeli civilizacia. is uqmnida sasicocxlo farTobs qalaqebs

_ qalaqebi Sendeboda im miwaze, simindi rom arTmevda junglebs.

kultura da mecniereba, romlebSic maias qurumebma udides warmatebas

miaRwies, mxolod rCeulTaTvis iyo xelmisawvdomi. am kulturas aklda

gamocdilebis gacvla-gamocvla socialur klasebs Soris. gasaocaria, rom

maTematikaSi, astronomiasa Tu xelovnebaSi esoden dawinaurebulma xalxma ver

moigona iseTi mniSvnelovani da, amave dros, primitiuli iaraRi, rogoric aris

guTani.** maia misdevda miwaTmoqmedebis e. w. saaxoe sistemas. jer junglebs

gaCexavdnen, waqceuli xeebi rom gaxmeboda, cecxls waukidebdnen wvimebis periodis

dawyebis win, xolo am periodis gasvlisTanave margilebiT patara ormoebs Txridnen

da Sig simindis marcvlebs Tesavdnen. mosavlis aRebis Semdeg sxva nakveTze

gadadiodnen, radgan niadagi ifiteboda da miwa didi xniT unda daesvenebinaT.

amitom miwaTmoqmeds sul ufro Sors uxdeboda junglebSi Sesvla. bolos da

bolos miwaTmoqmedsa da qalaqs Soris uzarmazari gadamwvari veli gaCnda. maias

Zveli samefos civilizaciam arseboba Sewyvita. civilizaciam SeiZleba iarsebos

ganviTarebuli teqnikis gareSe, magram misi arseboba guTnis gareSe SeuZlebelia.

* X saukunidan XVI saukunemde grZeldeboda maias CrdiloeTis centrebis ganviTareba.

** guTniT miwis damuSavebisas xdeba miwis amobruneba da sakvebi nivTierebebiT mdidari nawilis

zedapirze amotana, beltebis gafxviereba da mcenareuli narCenebis Cabruneba xnulis siRrmeSi.

7

14. I abzacSi miTiTebulia civilizaciebis warmoSobis winapirobebi, raTa:

(a) naTeli gaxdes, rom centraluri amerikis teritoriaze maias xalxma Seqmna

qalaqebis ganviTarebaze orientirebuli Zlieri imperia

(b) gamoikveTos maias imperiis qalaq-saxelmwifoTa mniSvneloba am civilizaciis

arsebobisTvis

(g) gamoikveTos miwaTmoqmedebasa da mesaqonleobasTan dakavSirebuli

specifikuroba, romelic maias kulturisTvis aris damaxasiaTebeli

(d) naTeli gaxdes, rom nebismieri civilizaciis Sesaqmnelad aucilebelia

miwaTmoqmedebisa da mesaqonleobis originalurad ganviTareba

15. qvemoT mocemulia ramdenime cnoba borblis warmoSobis Sesaxeb:

I _ borblis warmoSoba ukavSirdeba religiur simbolikas, cis mnaTobTa (mzis)

simrgvalisa da wrebrunvis emblemur ideas.

II _ borbali warmoiSva xis sagoravidan, romlis moZraobis princips adamianma

miagno mZime sagnebis gadaadgilebis procesSi.

III _ borbliani xis transportis warmomavlobas zogi mecnieri kavkasias

ukavSirebs, Tumca, etlis uZvelesi nimuSebi mesopotamiaSia mikvleuli.

am cnobaTagan romels iziarebs teqstis avtori? (upasuxeT I abzacis mixedviT)

(a) pirvels da meores

(b) mxolod meores

(g) pirvels da mesames

(d) mxolod mesames

16. maias civilizaciis dacemis savaraudo mizezebidan III abzacSi gamoricxuli ar aris:

(a) mtris Tavdasxmebi

(b) klimatis uecari cvlileba

(g) epidemiebi da katastrofebi

(d) savaWro gzebis ganadgureba da mosaxleobis siWarbe

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17. romeli winadadebis meore nawili ganmartavs amave winadadebis pirveli

nawilis azrs?

(a) simindi uqmnida sasicocxlo farTobs qalaqebs _ qalaqebi Sendeboda im

miwaze, simindi rom arTmevda junglebs

(b) maias samefo Tavisi didebis mwvervalze imyofeboda _ mezobeli xalxebidan ki

samxedro ZlierebiT masTan axlos veravin mividoda

(g) am qalaqebs ar SeeZlo earseba umTavresi samiwaTmoqmedo kulturis gareSe _

es kultura CvenTvis puri iyo, centraluri amerikis xalxebisTvis ki simindi

(d) maias qalaqebi dacarielda _ junglebi pirdapir quCebSi SeiWra, balaxma

dafara piramidebis safexurebi Tu sasaxleTa kibeebi

18. guTnis kulturisa da miwaTmoqmedebis saaxoe sistemis urTierTSedarebis

safuZvelze gamotanili daskvnebidan romeli ar aris swori?

(a) guTniT miwis damuSavebisas xdeba niadagis gafxviereba, amgvari niadagidan ki

mcenare fesvebiT ufro advilad iwovs sakveb nivTierebebs, vidre margilebiT

damuSavebuli niadagidan

(b) guTani primitiuli samiwaTmoqmedo iaraRia, romelic miwis erTi da imave

nakveTis mravaljer damuSavebis SesaZleblobas iZleva, xolo saaxoe sistema

mudmivad moiTxovs axali, daumuSavebeli miwis aTvisebas

(g) guTniT miwis damuSavebisas xdeba mcenareuli narCenebiT niadagis gamdidreba,

saaxoe miwaTmoqmedebis pirobebSi ki niadagi ver mdidrdeba sakvebi

nivTierebebiT da miwa ifiteba

(d) guTani, rogorc primitiuli samiwaTmoqmedo iaraRi, TiTqmis yvela

civilizaciisTvis iyo cnobili, maias xalxma ki bevrad ufro racionaluri e. w.

saaxoe sistema Seqmna

19. maias civilizaciaSi socialuri urTierTobebi Taviseburad Camoyalibda.

qvemoT CamoTvlilTagan romeli warmogvidgens am Taviseburebas?

(a) maias qurumebma udides warmatebas miaRwies astronomiasa da maTematikaSi,

riTac xels uwyobdnen miwaTmoqmedT, rom zustad gamoeTvalaT simindis

Tesvisa da mosavlis aRebis periodebi

(b) kultura da mecniereba mxolod rCeulTaTvis rodi iyo xelmisawvdomi,

qurumebi da mecnierebi cdilobdnen, miwaTmoqmedisTvis gaeumjobesebinaT

pirobebi, raTa isini ar daSorebodnen qalaqs

(g) maias civilizaciaSi ver moxerxda socialur fenebs Soris gamocdilebis

gacvla-gamocvla, radgan qurumebi, mecnierebi ufro maTematikisa Tu

astronomiis sakiTxebiT iyvnen dainteresebulni da mowydnen miwas, daSordnen

miwaTmoqmeds

(d) maias sazogadoebaSi privilegirebuli fenis gaZlierebam ganapiroba qveda

fenis gaaqtiureba, gamocdilebis gacvla-gamocvlam ki daaregulira

samiwaTmoqmedo sistemaSi warmoqmnili problemebi

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20. bolo wlebSi maias civilizaciis dacemasTan dakavSirebiT, ZiriTadad, or Tvalsazriss ganixilaven:

I _ maias qalaqebi mWidrod iyo dasaxlebuli; am xalxis moTxovnilebebi bevrad

aRemateboda garemos SesaZleblobebs, rac gamowveuli iyo samiwaTmoqmedo

resursebis amowurviTa da megafaunaze intensiuri nadirobiT.

II _ axlaxan fizikosebma da biologebma tbebis fskerisa da uZvelesi

wyalmcenareebis kvlevisas aRmoaCines 200-wliani gvalvis niSnebi, romelic

maias civilizaciis dacemis periods emTxveva.

ra mimarTebaa mocemul teqstsa da am Tvalsazrisebs Soris?

(a) orive Tvalsazrisi civilizaciis dacemis ekologiuri kategoriis mizezebs

unda mivakuTvnoT; mocemuli teqsti mxolod nawilobriv exmianeba pirvel

Tvalsazriss

(b) pirveli Tvalsazrisi zustad Tanxvdeba silvanus morlis Teorias, meore

Tvalsazrisi ki ewinaaRmdegeba teqstSi aRniSnul cnobas klimatis uecari

cvlilebis Sesaxeb

(g) orive Tvalsazrisi Tanamedrove mecnierul kvlevebs emyareba; kvlevis

SedegebiT kidev erTxel dasturdeba teqstSi gamotanili daskvna imis Sesaxeb,

rom civilizacia ver iarsebebs ganviTarebuli teqnikis gareSe

(d) pirveli Tvalsazrisi gamyarebulia argumentebiT da gamoricxavs morlis

Teoriis marTebulobas, meore Tvalsazrisi ki ar gamoricxavs mas _ gvalvis

pirobebSi warmoudgenelia saaxoe sistemis funqcionireba

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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

msgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTa

Tanmimdevroba.

21. nisliani : gamWvirvaloba (a) mtvriani : buRi

(b) mTvariani : wyvdiadi

(g) Wirxliani : yinva

(d) qariSxliani : grigali

22. novela : prozauli nawarmoebi (a) kabineti : oTaxi

(b) derefani : saxli

(g) sarTuli : sardafi

(d) organizacia : ofisi

23. muxanaTi : mzakvroba (a) zarmaci : daudevroba

(b) momRimari : mxiaruleba

(g) uxaliso : mowyeniloba

(d) warmatebuli : mondomeba

24. leqsikuri erTeuli : leqsika (a) biotipi : biosfero

(b) genezisi : genetika

(g) eTnosi : eTnografia

(d) fsiqika : fsiqoTerapia

25. saTave : winasityvaoba (a) avansi : anonsi

(b) simpaTia : apaTia

(g) prefiqsi : sufiqsi

(d) RerZi : koordinati

26. artileristi : kavaleristi (a) mwvervali : myinvari

(b) freska : bareliefi

(g) simfonia : polifonia

(d) reputacia : avtoriteti

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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. adamiani im mTelis nawilia, samyaro rom ewodeba, ______ is Tavis Tavs, Tavis azrebsa da grZnobebs ise ganicdis, ______ . cnobierebis es iluzia

______ , romelic sakuTari survilebisa da ramdenime uaxloesi adamianis

siyvarulis wreSi gvketavs. Cveni amocana am sapyrobilidan ______ unda iyos – TanagrZnobis unaris ise gafarToeba, rom man yvela cocxali arseba da mTeli

buneba moicvas.

(a) amitomac / TiTqos sxva yvelafrisgan gamijnuli iyos / CvenTvis didi

komfortia / sayvareli adamianebis daxsna

(b) amitomac / TiTqos sxva yvelaferTan kavSirSi iyos / sapyrobilea CvenTvis – sapyrobile / sayvareli adamianebis daxsna

(g) magram / rogorc sxva yvelaferTan dakavSirebuls / CvenTvis didi komfortia /

Tavis daRweva

(d) magram / rogorc sxva yvelafrisgan gamijnuls / sapyrobilea CvenTvis – sapyrobile / Tavis daRweva

28. samuSao adgilebis Sesaxeb me-20 saukunis 50-iani wlebis gazeTebSi

gamoqveynebul gancxadebebsa da Tanamedrove gancxadebebs Soris ______ im

mosazrebis ______ sabuTia, rom sqesis niSniT Sromis ganawileba ______ .

(a) arsebuli gansxvaveba / sawinaaRmdego / gamudmebiT icvleba

(b) arsebuli msgavseba / SesaniSnavi / radikalurad icvleba

(g) arsebuli gansxvaveba / SesaniSnavi / ar aris ucvleli

(d) arsebuli msgavseba / sawinaaRmdego / ucvleli rCeba

12

29. _____ , rom kritikul-racionalisturi azrovnebis _____ arqaul

saberZneTSi tradiciuli religiis an misteriebis poziciebis _____ moxda.

_____ , swored arqaikis epoqaSi hpova elinTa _____ yvelaze mZlavri

gamovlineba, swored am epoqaSi SeiZina elevsinis misteriebma Tu orfikulma

ritualebma manamde arnaxuli masStabebi.

(a) Secdoma iqneboda, gvefiqra / ganviTareba / Sesustebis xarjze / piriqiT /

iracionalizmma

(b) marTebulia mosazreba / degradireba / gamyarebis safuZvelze / marTlac /

racionalizmma

(g) Secdoma iqneboda, gvefiqra / ganviTareba / gamyarebis safuZvelze / piriqiT /

iracionalizmma

(d) marTebulia mosazreba / degradireba / Sesustebis xarjze / marTlac /

racionalizmma

30. mecniereba aris faqtebis interpretacia. TavisTavad faqtebi ______ , isini ______ mas, anu ______ mis Sesaxeb. faqtebi rom ar yofiliyo, ______ : ar

iqneboda araferi dafaruli, rac gamovlenas saWiroebs.

(a) fardas xdis sinamdviles, metic / aaSkaravebs / gvifantavs eWvebs / ar

iqneboda problemebic

(b) ar warmogvidgens sinamdviles, amdenad / niRbavs / dagvafiqrebs / iqneboda

mxolod problemebi

(g) fardas xdis sinamdviles, Sesabamisad / aaSkaravebs / codnas gvaZlevs /

iqneboda mxolod problemebi

(d) ar warmogvidgens sinamdviles, piriqiT / niRbavs / kiTxvebs aRgviZravs / ar

iqneboda problemebic

13

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. 19 wels gadacilebuli moqalaqeebis gamokiTxvam imis Sesaxeb, hqondaT Tu ara maT damTavrebuli saSualo skola, aCvena, rom A qalaqis mcxovrebTa Soris

procentulad gansakuTrebiT didia maTi raodenoba, vinc skola swavlis

damTavrebamde miatova. am SedegTan Seusabamo aRmoCnda A qalaqis skolebis

arqivebidan miRebuli informacia, romlis mixedviTac moswavleTa mier skolis

mitovebis procentuli maCvenebeli qalaqis yvela skolaSi sakmaod dabali iyo.

qvemoT CamoTvlilTagan romeli viTarebiT SeiZleba aixsnas gansxvaveba gamokiTxvis

Sedegebsa da A qalaqis skolebis monacemebs Soris?

(a) gamokiTxvisas ar iyo gaTvaliswinebuli, rom zogierTi axalgazrda 17 wlisa

amTavrebs saSualo skolas

(b) gamokiTxvis Sedegebis mixedviT, qalaqis mosaxleobis did nawils saSualo

skola warCinebiT aqvs damTavrebuli

(g) A qalaqis zrdasruli mosaxleobis didi nawili sxva qalaqebidan aris sacxovreblad gadmosuli dasaqmebis mizniT

(d) A qalaqis saSualo skolebSi moswavleTa mimarT moTxovnebi Zalian maRalia, ris gamoc bevri moswavle ver iRebs atestats

32. davuSvaT, A organizaciaSi mxolod qalebi muSaoben, amasTan, mocemulia:

• A organizaciis yvela TanamSromels uyvars poezia • yvelas, vinc literaturul kafeSi Sedis yavis dasalevad, uyvars poezia

qvemoT CamoTvlili debulebebidan romeli gamomdinareobs orive wanamZRvridan,

magram ar gamomdinareobs arc erTidan cal-calke?

(a) A organizaciis yvela TanamSromeli dadis literaturul kafeSi yavis dasalevad

(b) A organizaciis yvela TanamSromels, romelic literaturul kafeSi Sedis yavis dasalevad, uyvars poezia

(g) yvelas, vinc literaturul kafeSi Sedis yavis dasalevad an aris A organizaciis TanamSromeli, uyvars poezia

(d) poeziis moyvarulebs, literaturuli kafesa da A organizaciis garda, sxvaganac bevrs SexvdebiT

14

33. wlis dasawyisSi farmacevtulma kompaniam qalaqis afTiaqebis qselSi

gaavrcela axali mcenareuli preparati, romelic reklamaSi warmodgenili iyo

gripis samkurnalo uebar saSualebad. aRmoCnda, rom mTeli wlis ganmavlobaSi

preparati Zalian mcire raodenobiT gaiyida. amis safuZvelze erT-erTi afTiaqis

menejerma ivarauda, rom axali preparati ar aris efeqturi saSualeba gripis

samkurnalod.

qvemoT CamoTvlilTagan romeli viTareba ganamtkicebs menejeris varauds?

(a) am wels zamTari da Semodgoma gamorCeulad Tbili iyo da qalaqis

mcxovrebTa bevrad ufro mcire nawili daavadda gripiT, vidre _ Cveulebriv

(b) axali preparati Zliermoqmedi medikamentia, Tumca, iwvevs negatiur gverdiT

movlenebs, ris Sesaxebac eqimebi afrTxilebdnen TavianT pacientebs (g) am wels qalaqis afTiaqebis qselSi gavrcelda gripis sawinaaRmdego bevri sxva

adgilobrivi warmoebis Tu importirebuli samkurnalo saSualeba

(d) axali preparatis mwarmoebelma kompaniam reklamis mizniT ufasodac ki

daariga misi sacdeli nimuSebi

34. mocemulia: • yvelas, vinc Wadraks TamaSobs, uyvars klasikuri musika • saqarTveloSi bevri moWadrakea

maSasadame, qarTvel moWadrakeebs uyvarT klasikuri musika.

es daskvna:

(a) gamomdinareobs orive debulebidan, magram ar gamomdinareobs arc erTidan

cal-calke

(b) gamomdinareobs TiToeuli debulebidan cal-calke

(g) gamomdinareobs mxolod erT-erTi debulebidan

(d) ar gamomdinareobs mocemuli debulebebidan

15

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

biznesisa da marTvis sferos specialistTa Soris gavrcelebuli iyo

Sexeduleba, rom individualurad miRebul gadawyvetilebebTan SedarebiT,

jgufuri ganxilvis Sedegad miRebuli gadawyvetilebebi ufro frTxili da

kompromisulia. es ki jgufur aqtivobas naklebad SemoqmedebiTsa da, siaxleTa

Ziebis mxriv, araefeqturs xdis. aRniSnuli Tvalsazrisi gasuli saukunis 60-iani

wlebis dasawyisSi seriozuli eWvis qveS dadga. mravali kvlevis Sedegad gairkva,

rom zogierT SemTxvevaSi individualuri gadawyvetilebebi, jgufurTan

SedarebiT, meti riskianobiT ar gamoirCeva. amasTanave, aRmoCnda, rom Tavad

jgufuri gadawyvetilebis riskianobis done garkveul faqtorebzea damokidebuli.

am sakiTxis sakvlevad Catarebul eqsperimentSi cdispirs sakuTari Tavi unda

warmoedgina konsultantad, romelic adamians alternatiuli gadawyvetilebebidan

erT-erTis arCevaSi exmareba. eqsperimentSi iyenebdnen or warmosaxviT situacias:

1. X-ma deteqtiuri Janris novelebiT moipova popularoba. axlaxan mas

seriozuli fsiqologiuri romanis Seqmnis survili gauCnda. Tu man dawera

romani, romelic mkiTxvelTa mowonebas daimsaxurebs, es mis SemoqmedebiT

karieraSi gadamwyvet rols Seasrulebs. magram Tu mcdeloba warumatebeli

aRmoCndeba, maSin is Tavis SemoqmedebiT Zalisxmevas fuWad daxarjavs _ gaweuli

Sroma mas arafers moutans arc sulieri da arc materialuri TvalsazrisiT.

2. Y-s seriozuli daavadeba aRmoaCnda. eqimebis azriT, man kardinalurad unda Secvalos cxovrebis wesi, uari Tqvas misTvis mniSvnelovan mraval aqtivobaze da

a.S. Tumca, SesaZlebelia qirurgiuli Carevac, romlis warmatebis SemTxvevaSi Y-is janmrTeloba mniSvnelovnad gaumjobesdeba. magram gamoricxuli ar aris operaciis

warumatebloba, rac kidev ufro daamZimebs pacientis mdgomareobas.

TiToeul situaciaSi cdispiri alternativis winaSe idga: mas SeeZlo, X-isTvis erCia romanis dawera an masze uaris Tqma, xolo Y-isTvis _ qirurgiuli

operaciis gakeTeba an masze uaris Tqma. riskis Semcveli rCevis micemis SemTxvevaSi,

cdispirs unda Seefasebina warmatebis Sansi, anu mieTiTebina imis albaToba, rom:

1. romani mkiTxvelTa mowonebas daimsaxurebs da 2. operacia warmatebuli iqneba.

amiT ganisazRvreboda gadawyvetilebis riskianobis xarisxi: rac ufro maRalia

warmatebis Sansi, miT naklebia riskianobis xarisxi, da _ piriqiT.

eqsperimenti or etapad Catarda. pirvel etapze cdispirebi gadawyvetilebas

individualurad iRebdnen, meore etapze ki _ sxva cdispirebTan erTad. pirvel

(X) situaciaSi jgufurad miRebuli gadawyvetilebebis riskis done ufro maRali iyo, vidre _ individualurad miRebuli gadawyvetilebebisa. meore (Y) situaciaSi, piriqiT, cdispirebi jgufuri ganxilvis Semdeg ufro frTxil,

naklebad sarisko gadawyvetilebebs iRebdnen, vidre _ individualurad.

am monacemTa safuZvelze mkvlevrebma daaskvnes, rom miRebuli gadawyvetilebis

riskianobis xarisxi didwilad ganisazRvreba sarisko situaciis mimarT cdispirTa

sawyisi damokidebulebiT: situaciebSi, sadac SesaZlo danakargi naklebad

mniSvnelovania, adamiani ufro sarisko gadawyvetilebis miRebis tendencias

avlens, xolo seriozuli safrTxis Semcvel situaciebSi _ naklebad sarisko

gadawyvetilebisken ixreba. gadawyvetilebis jgufurad miRebisas situaciis

erToblivad ganxilva kidev ufro ganamtkicebs da aZlierebs aRniSnul

tendencias, rasac jgufuri polarizaciis fenomeni uwodes.

16

35. frTxili da kompromisuli gadawyvetilebebis miReba ganapirobebs jgufuri aqtivobis araefeqturobas siaxleTa Ziebis TvalsazrisiT. es niSnavs, rom:

(a) gadawyvetilebebis miRebisas jgufi amjobinebs Cveuli, ukve gamocdili gzebiT

moqmedebas

(b) gadawyvetilebebis miRebisas jgufi irCevs iseT variants, romlis dadebiTi

Sedegebi aSkarad gadaswonis mis uaryofiT Sedegebs

(g) jgufis wevrebi iTvaliswineben SesaZlo gadawyvetilebis yvela dadebiTsa Tu

uaryofiT aspeqts da irCeven moqmedebis saukeTeso gzas

(d) jgufis wevrebi gamocdilebis gaTvaliswinebiT cdiloben, iwinaswarmetyvelon

yvela is garTuleba, rac SesaZloa mohyves ama Tu im gadawyvetilebas

36. qvemoT CamoTvlilTagan romels aqvs I abzacSi argumentis funqcia?

(a) zogierT SemTxvevaSi individualuri gadawyvetilebebi, jgufurTan SedarebiT,

meti riskianobiT ar gamoirCeva

(b) es ki jgufur aqtivobas naklebad SemoqmedebiTsa da, siaxleTa Ziebis mxriv,

araefeqturs xdis

(g) aRniSnuli Tvalsazrisi gasuli saukunis 60-iani wlebis dasawyisSi

seriozuli eWvis qveS dadga

(d) Tavad jgufuri gadawyvetilebis riskianobis done garkveul faqtorebzea

damokidebuli

37. eqsperimentSi ori warmosaxviTi situaciis gamoyenebiT SesaZlebeli gaxda:

(a) imis gansazRvra, Tu ramdenad ufro riskiania jgufurad miRebuli

gadawyvetileba individualurad miRebulTan SedarebiT (b) imis dadgena, Tu ramdenad uwyobs xels garkveuli faqtorebi individualuri

gadawyvetilebis miRebisa da konsultirebis procesis modelirebas

(g) im pirobebis dadgena, romlebic gansazRvravs individualurad miRebuli

gadawyvetilebis met riskianobas jgufurTan SedarebiT, da _ piriqiT

(d) im pirobebis modelireba, romlebic individualurad Tu jgufurad miRebul

gadawyvetilebaTa Sedegebis prognozirebis saSualebas iZleva

17

38. qvemoT mocemulia skala, romliTac cdispirebi eqsperimentSi X da Y situaciebis riskianobis xarisxs afasebdnen.

warmatebis Sansi: riskianobis xarisxi:

5-dan 1 A 5-dan 2 B 5-dan 3 C 5-dan 4 D 5-dan 5 E

qvemoT CamoTvlilTagan romelSia sworad asaxuli individualurad da

jgufurad miRebuli gadawyvetilebis riskianobis saSualo tendencia X da Y situaciebisTvis?

individualuri gadawyvetileba jgufuri gadawyvetileba

(a) X situacia _ B, Y situacia _ C; X situacia _ C, Y situacia _ E

(b) X situacia _ D, Y situacia _ C; X situacia _ E, Y situacia _ B

(g) X situacia _ D, Y situacia _ E; X situacia _ C, Y situacia _ A (d) X situacia _ B, Y situacia _ C; X situacia _ A, Y situacia _ D

39. qvemoT CamoTvlilTagan romeli warmoadgens jgufuri polarizaciis magaliTs?

(a) garkveuli movlenis mimarT uaryofiTad ganwyobil adamianTa jgufi diskusiis

Semdeg midrekilia neitraluri pozicia airCios am movlenasTan dakavSirebiT

(b) garkveuli movlenisadmi uaryofiTad ganwyobil adamianTa jgufi diskusiis

Semdeg cdilobs SeinarCunos Tavisi pozicia am movlenis mimarT

(g) garkveuli movlenis mimarT dadebiTad ganwyobil adamianTa jgufSi diskusiis

Semdeg radikalurad icvleba damokidebuleba am movlenisadmi

(d) garkveuli movlenis mimarT dadebiTad ganwyobil adamianTa jgufSi diskusiis

Semdeg kidev ufro Zlierdeba pozitiuri damokidebuleba am movlenisadmi

40. eqsperimentis Sedegebis safuZvelze SesaZlebelia davaskvnaT, rom:

(a) gadawyvetilebis jgufurad miRebisas problemis mimarT arsebuli

damokidebulebis ganmtkiceba xdeba, xolo individualurad miRebisas vlindeba

polarizaciis tendencia (b) problemis seriozuloba gansazRvravs individualurad miRebuli

gadawyvetilebis riskianobis xarisxs, jgufis wevrTa sawyisi Sefasebebi ki,

Tavis mxriv, _ jgufurad miRebuli gadawyvetilebis riskianobis xarisxs

(g) rogorc jgufurad, ise individualurad miRebuli gadawyvetilebis

riskianobis done gansazRvravs warmatebis albaTobas

(d) ZiriTadi faqtori, romelic gansazRvravs gadawyvetilebis riskianobis xarisxs,

aris arCevanis gakeTebis wesi _ individualurad xorcieldeba is Tu jgufurad

18

Savi samuSaosTvis

19

Savi samuSaosTvis

20

21

maTematikuri nawili

testis maTematikur nawilze muSaobisas gaiTvaliswineT:

• naxazebi, romlebic erTvis zogierT davalebas, araa 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 L misi

radiusis mixedviT gamoiTvleba

formuliT: L = 2πr; π ricxvi, measedis sizustiT, 3,14-is tolia;

• r radiusiani wris farTobi gamoiTvleba formuliT: S = πr2.

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 da b iseTi ricxvebia, rom 0>+ ba .

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

42.

rombis blagvi kuTxis sididea 120°. (a) (b) (g) (d)

43.

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

6,9·32 96,0·320

manZili ricxvTa

RerZze b-s Sesabamisi wertilidan saTavemde

manZili ricxvTa

RerZze a-s Sesabamisi wertilidan saTavemde

rombis gverdis sigrZe

rombis mcire

diagonalis sigrZe

23

44.

Tornikem, sandrom, sofom da anam soko Seagroves.

anam Seagrova yvelaze naklebi soko, xolo sofos

yvelaze meti soko ar Seugrovebia.

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

45.

wrewiri, romlis radiusis sigrZea 8 sm, mdebareobs im wrewiris SigniT, romlis radiusis sigrZea 16 sm.E wertili erT-erT wrewirze mdebareobs, F _

meoreze. am wertilebisa da patara wrewiris centris

SeerTebiT miRebuli samkuTxedis perimetria p.

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

46.

x da y ricxvebis saSualo ariTmetikuli x, y da tricxvebis saSualo ariTmetikulis tolia.

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

64 sm p

t x-isa da y-is saSualo ariTmetikuli

gogonebis mier

Segrovebuli sokos

raodenoba

biWebis mier

Segrovebuli sokos

raodenoba

24

amocanebi

47. Tu 2−=z , maSin ( )( )=−−+− 23 316 zzz

(a) –42

(b) –18

(g) 0

(d) 6

(e) 22

48. liam 71 fanqari ramdenime kolofSi Caawyo: zogSi 4 cali, zogSi _ 6, zogSi ki _ 9. CamoTvlilTagan romlis toli SeiZleba iyos im kolofTa

raodenoba, romlebSic 9 fanqaria? (a) 2

(b) 4

(g) 5

(d) 6

(e) 7

49. samkuTxedisa da paralelogramis wveroebi tolujredebiani badis kvanZebs

emTxveva (ix. naxazi). risi tolia

samkuTxedis farTobis Sefardeba

paralelogramis farTobTan? (a) 5

2

(b) 21

(g) 85

(d) 32

(e) 54

25

50. gasayofis (romelic dadebiTi ricxvia), gamyofisa da maTi ganayofis namravli 0,64-is tolia. risi tolia gamyofisa da ganayofis namravli?

(a) 0,32-is

(b) 0,4-is

(g) 0,48-is

(d) 0,6-is

(e) 0,8-is

51. avtobusSi ramdenime mgzavri iyo. gaCerebis Semdeg avtobusSi mgzavrebis

raodenoba gaormagda, Semdeg gaCerebaze ki _ 12-iT Semcirda. kidev erTi

gaCerebis Semdeg avtobusSi mgzavrebis raodenoba isev gaormagda, momdevno

gaCerebaze ki _ isev 12-iT Semcirda; amis Semdeg avtobusSi arc erTi mgzavri aRar darCa. ramdeni mgzavri yofila avtobusSi Tavdapirvelad?

(a) 6

(b) 7

(g) 8

(d) 9

(e) 11

26

monacemTa analizi

cxrilSi warmodgenilia monacemebi imis Sesaxeb, Tu ramdeni aTasi

srulwlovani adamiani iyo dasaqmebuli Tbilissa da aRmosavleT saqarTvelos

sxvadasxva regionSi 2002-2006 wlebSi, amasTan, 2006 wlis monacemebi moyvanilia kvartalTa mixedviT.

weli da kvartali Tbilisi kaxeTi mcxeTa-mTianeTi qvemo qarTli Sida qarTli

2002 w 149,0 10,8 5,6 23,5 9,8 2003 w 189,0 13,6 6,8 29,4 13,2 2004 w 189,6 15,9 7,2 26,2 15,0 2005 w 196,0 14,2 5,5 28,0 14,8 2006 w I kv. 181,0 10,7 4,8 23,7 12,4

II kv. 184,6 11,9 5,1 24,3 12,0 III kv. 180,8 12,2 4,8 24,6 10,1 IV kv. 189,0 11,8 5,0 24,7 11,3

cxrilis mixedviT upasuxeT Semdeg 2 SekiTxvas:

52. ramdeniT meti iyo dasaqmebul adamianTa raodenoba TbilisSi 2005 wels wina welTan SedarebiT?

(a) 6000-iT

(b) 6400-iT

(g) 7000-iT

(d) 7600-iT

(e) 8000-iT

53. davuSvaT, rom Sida qarTlSi 2006 wels 75 aTasi srulwlovani adamiani cxovrobda. am regionis srulwlovan adamianTa raodenobis ramdeni procenti

yofila dasaqmebuli 2006 wlis II kvartalSi? (a) 8%

(b) 12%

(g) 14%

(d) 15%

(e) 16%

27

amocanebi

54. ramdeniT metia udidesi samniSna ricxvi, romlis cifrTa jami 16-is tolia, umcires samniSna ricxvze, romlis cifrTa jamic, aseve, 16-is tolia?

(a) 220-iT

(b) 738-iT

(g) 801-iT

(d) 870-iT

(e) 899-iT

55. CamoTvlilTagan romeli SeiZleba iyos im samkuTxedis wveroebis koordinatebi, romelic naxazze

mocemuli samkuTxedis simetriulia x-RerZis mimarT?

(a) (4; 3), (2; 1), (0; 5) (b) (–6; –4), (–3; 2), (0; –3)

(g) (–4; 3), (–2; 1), (0; 2)

(d) (3; –4), (2; –1), (0; –2)

(e) (–4; –3), (–2; –1), (0; –5)

56. daviTs 3-jer naklebi wigni aqvs, vidre _ levans da 6-jer meti, vidre _ Salvas. samives erTad 70-ze meti, magram 90-ze naklebi wigni aqvs. ramdeni wigni aqvs daviTs?

(a) 12

(b) 15

(g) 18

(d) 21

(e) 24

57. Tamarma, naTiam, sofom da elenem zRvis napiras sul 40 niJara Seagroves. Tamarma naTias misca 1 niJara, naTiam sofos _ 3 niJara, sofom elenes _ 5 niJara. Tavis mxriv, elenem Tamars ramdenime niJara misca. amis Semdeg oTxives toli raodenobis niJarebi aRmoaCndaT. ramdeni niJara Seugrovebia naTias?

(a) 8

(b) 9

(g) 10

(d) 11

(e) 12

28

58. marTkuTxa paralelepipedSi 12 erTnairi kubi isea ganlagebuli, rom yovel or mezobel kubs erTi

waxnagi saerTo aqvs (ix. naxazi). kidev ramdeni aseTi

kubi Caeteva am marTkuTxa paralelepipedSi? (a) 46

(b) 42

(g) 38

(d) 34

(e) 30

59. ricxvebi a, 3a, b, 13,6 zrdis mixedviTaa dalagebuli. gansxvaveba yovel or mezobel ricxvs Soris 4-ze naklebia. CamoTvlilTagan romlis toli SeiZleba iyos b ?

(a) 9,2

(b) 9,4

(g) 9,6

(d) 9,8

(e) 10

60. sastumroSi mxolod erTadgiliani da oradgiliani nomrebia. menejerma

Seityo, rom sastumroSi unda ganaTavsos 5 universitetis 11 studenti gogona ise, rom sxvadasxva universitetis studentebi erT nomerSi ar moxvdnen. minimum

ramdeni nomeria saWiro, raTa menejerma aucileblad SeZlos studentebis

sastumroSi ganTavseba? (a) 5

(b) 6

(g) 7

(d) 8

(e) 9

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.

elenem SabaTs mTeli Tanxis 40% daxarja, xolo

kviras _ darCenili Tanxis 60%.

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

62.

AMND marTkuTxedis farTobis Sefardeba ABCD kvadratis farTobTan 4

1-is

tolia.

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

63. a > b, b > c

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

elenes mier SabaTs

daxarjuli Tanxa elenes mier kviras

daxarjuli Tanxa

a – 4 c – 3

AMND marTkuTxedis perimetris Sefardeba ABCD

kvadratis perimetrTan 53

30

64.

12-gverdiani gazeTis gverdebis dasanomrad, sxva

cifrebTan erTad, saWiroa xuTi 1-iani.

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

65.

gias xelfasis naxevari Tengos xelfasis meoTxedze

250 lariT metia.

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

66.

nebismieri a ricxvisTvis ∗a -iT aRniSnulia a-ze

naklebi udidesi mTeli ricxvi, xolo a#-iT _ a-ze meti umciresi mTeli ricxvi.

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

400-gverdiani wignis gverdebis dasanomrad

saWiro 4-ianebis raodenoba

300-gverdiani wignis gverdebis dasanomrad

saWiro 2-ianebis raodenoba

gias xelfasi Tengos xelfasi

( )#5∗−a ( )∗− 4#a

31

amocanebi

67. wrewiri, romlis diametris sigrZea 4 sm, mdebareobs im wrewiris SigniT, romlis diametris sigrZea 6 sm. CamoTvlilTagan romel SualedSia am wrewirebiT

SemosazRvruli gamuqebuli figuris farTobi? (a) 11-12 sm2

(b) 12-13 sm2

(g) 13-14 sm2

(d) 14-15 sm2

(e) 15-16 sm2

68. 41-isa da 56-is erT-erT naturalur ricxvze gayofisas miRebuli naSTebi erTmaneTis tolia. CamoTvlilTagan romlis toli SeiZleba iyos miRebuli

naSTebi? (a) 2

(b) 3

(g) 4

(d) 5

(e) 6

69. ramdeni fiala gaawonasworebs rZian

kolofsa da mawvnis qilas

marjvena sasworze? (a) 5

(b) 6

(g) 7

(d) 8

(e) 9

70. babuam Tavis or SviliSvils 2 wiTeli da 3 yviTeli vaSli SesTavaza.

TiToeul maTgans TiTo vaSli unda aerCia. risi tolia imis albaToba, rom

SviliSvilebis mier arCeuli vaSlebi gansxvavebuli feris iqneba? (a) 5

1

(b) 53

(g) 54

(d) 107

(e) 109

32

monacemTa analizi

grafikze warmodgenilia monacemebi imis Sesaxeb, Tu zogadsaganmanaTleblo

skolis TiToeuli safexuris (dawyebiTi, sabazo, saSualo) moswavleTa raodenobis ramden procents Seadgenda amave safexuris im moswavleTa raodenoba, romlebic

sportiT iyvnen dakavebulni 2001/2002 _ 2005/2006 saswavlo wlebSi. magaliTad, grafikis mixedviT varkvevT, rom 2001/2002 saswavlo wels sportiT dakavebuli yofila saSualo skolis moswavleTa 14% .

diagramaze ki warmodgenilia monacemebi imis Sesaxeb, Tu

zogadsaganmanaTleblo skolis TiToeul safexurze sportiT dakavebul

moswavleTa saerTo raodenobis ramden procents Seadgenda fexburTiT, ragbiT,

WidaobiT Tu sportis romelime sxva saxeobiT dakavebul moswavleTa

raodenobebi 2005/2006 saswavlo wels. magaliTad, diagramis mixedviT varkvevT, rom 2005/2006 saswavlo wels saSualo skolaSi fexburTiT dakavebuli yofila saSualo skolaSi sportiT dakavebul moswavleTa 30%.

grafikisa da diagramis mixedviT upasuxeT Semdeg 4 SekiTxvas:

33

71. romel saswavlo wels iyo sportiT dakavebul moswavleTa wili dawyebiT skolaSi 1,4-jer meti, vidre _ sabazo skolaSi?

(a) 2001/2002 saswavlo wels

(b) 2002/2003 saswavlo wels

(g) 2003/2004 saswavlo wels

(d) 2004/2005 saswavlo wels

(e) 2005/2006 saswavlo wels

72. ramdeniT aRemateboda saSualo skolaSi sportiT dakavebul moswavleTa

procentuli maCvenebeli 2004/2005 saswavlo wels 2002/2003 saswavlo wlis

Sesabamis maCvenebels? (a) 2-iT

(b) 3-iT

(g) 4-iT

(d) 5-iT

(e) 6-iT

73. ramdenjer naklebi iyo 2005/2006 saswavlo wels dawyebiT skolaSi ragbiT dakavebul moswavleTa raodenoba WidaobiT dakavebul moswavleTa raodenobaze?

(a) 1,5-jer

(b) 2-jer

(g) 2,5-jer

(d) 3-jer

(e) 4-jer

74. sabazo skolis moswavleTa raodenobis ramden procents Seadgenda ragbiTa Tu fexburTiT dakavebul moswavleTa raodenoba 2005/2006 saswavlo wels?

(a) 6%

(b) 8%

(g) 12%

(d) 14%

(e) 16%

34

amocanebi

75. erTi wrewiris radiusis sigrZe 15 sm-ia, meorisa _ 5 sm. patara wrewiri didi wrewiris SigniT mdebareobs da masTan

mxolod erTi saerTo wertili aqvs (ix. naxazi). vTqvaT,

A wertili pirvel wrewirze mdebareobs, B ki _ meoreze. maqsimum risi toli SeiZleba iyos AB monakveTis sigrZe?

(a) 20 sm

(b) 25 sm

(g) 30 sm

(d) 35 sm

(e) 40 sm

76. mocemulia namravli 35·30·15·6·8 . CamoTvlilTagan romel namravlze bs!jzpgb

es namravli unaSTod? (a) 40·42·4

(b) 50·21·24

(g) 25·21·16

(d) 50·9·8

(e) 75·14·9

77. mimdevrobis me-7 wevria 4, xolo me-8 wevria 3. ras udris mimdevrobis me-2 wevri, Tu cnobilia, rom am mimdevrobis nebismieri wevrisa da misi momdevno

ori wevris jami erTi da imave ricxvis tolia? (a) 3

(b) 4

(g) 7

(d) 12

(e) 30

78. klasis moswavleTagan 24 vaJia. CamoTvlilTagan romlis toli ar SeiZleba iyos gogonebis raodenobis Sefardeba am klasis moswavleTa saerTo

raodenobasTan? (a) 7

3

(b) 83

(g) 85

(d) 95

(e) 115

35

79. figuris radiusis sigrZe vuwodoT am figuris momcvel wreebs Soris

umciresis radiusis sigrZes.

kvadratis diagonali rombis didi

diagonalis tolia.

risi tolia kvadratis radiusis

sigrZis Sefardeba rombis radiusis sigrZesTan?

(a) 21-is

(b) 1-is

(g) 23-is

(d) 2-is

(e) 34-is

80. saaTebis qarxana wlis I naxevarSi uSvebda rogorc meqanikur, ise _

eleqtronul saaTebs, xolo wlis II

naxevarSi _ mxolod eleqtronul

saaTebs. diagramebze warmodgenilia

monacemebi imis Sesaxeb, Tu qarxnis mier

gamoSvebuli saaTebis raodenobis

ramden procents Seadgenda meqanikuri

da eleqtronuli saaTebis raodenoba

rogorc wlis I naxevarSi, ise mTeli

wlis ganmavlobaSi.

eleqtronuli saaTebis saerTo raodenobis ramden procents Seadgens qarxnis

mier wlis II naxevarSi gamoSvebuli eleqtronuli saaTebis raodenoba? (a) 15%

(b) 30%

(g) 45%

(d) 50%

(e) 65%

36

Savi samuSaosTvis