2

verbaluri nawili

analogiebi

am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,

romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, ra

saxisaa es mimarTeba.

savaraudo pasuxTa yovel variantSi aseve mocemulia mniSvnelobiT

urTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSic

sityvaTa mniSvnelobebs Soris mimarTeba gamuqebul sityvaTa urTierTmimarTebis

msgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTa

Tanmimdevroba.

1. qargva : moqarguli (a) darRveva : gakerili

(b) dakecva : dakecili

(g) awyoba : mowyobili

(d) anTeba : daferflili

2. ska : Tafli (a) rezidencia : kabineti

(b) arqivi : dokumenti

(g) beReli : fqvili

(d) marani : Rvino

3. gaziareba : gulSematkivari (a) mowesrigeba : maregulirebeli

(b) danawevreba : gamamTlianebeli

(g) daskvna : Semajamebeli

(d) Sedareba : obieqturi

4. foladi : xmali (a) Zua : ankesi

(b) xe : violino

(g) mina : broli

(d) yanwi : rqa 5. maketi : modeli (a) parteri : Teatri

(b) palitra : dafa

(g) pauza : intervali

(d) paroli : sityva

6. anonimuri : xelmowera (a) inertuli : pasiuroba

(b) WeSmariti : sandooba

(g) izolirebuli : martooba

(d) Cveulebrivi : originaloba

3

7. javSani : skafandri (a) guga : Tvali

(b) igavi : novela

(g) kvirti : yvavili

(d) Senakadi : SesarTavi 8. atmosferuli teni : naleqebi (a) zRvari : sazRvrebi

(b) dRe : dResaswaulebi

(g) faqtori : faqtebi

(d) saTave : saTaurebi

9. arqaika : arqeologi (a) kardiograma : kardiologi

(b) prezidiumi : prezidenti

(g) sociumi : sociologi

(d) turizmi : turisti

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.

10. ocnebisa da sinamdvilis, warmosaxulisa da nanaxis erTmaneTisgan garCeva

cnobierebisTvis advilad misaRwevia. ai, amJamad Cems winaSe mdebare qaRaldis

furcels vxedav, _____ ; vxuWav Tvals, Cems cnobierebaSi qaRaldis xati _____

arsebobas, _____ axla me mas _____ .

(a) anu me mas aRviqvam / wyvets / miuxedavad imisa, rom / ver warmovidgen

(b) Tumca, ver aRviqvam / wyvets / amitom / mxolod warmovidgen

(g) Tumca, ver aRviqvam / mainc ganagrZobs / Sesabamisad, / ver warmovidgen

(d) anu me mas aRviqvam / mainc ganagrZobs / Tumca, / mxolod warmovidgen

4

11. saxelmwifoebi _____ xdebian, _____ , rom Tanamedrove ekonomikurma,

teqnologiurma, ekologiurma da sxva procesebma aiZula isini, _____

gamxdariyvnen.

(a) erTmaneTisgan sul ufro damoukidebelni / radgan es maT Zalian swadiaT,

miuxedavad imisa / erTmaneTisgan damoukidebelni

(b) sul ufro urTierTdamokidebulni / ara imitom, rom es maT Zalian swadiaT,

aramed imitom / erTmaneTze damokidebulni

(g) erTmaneTze sul ufro naklebad damokidebulni / ara imitom, rom es maT

Zalian swadiaT, aramed imitom / urTierTdamokidebulni

(d) sul ufro urTierTdamokidebulni / radgan es maT Zalian swadiaT,

miuxedavad imisa / urTierTdamokidebulni

12. hipoTezis avtori madlieri unda iyos yvelasi, vinc misi hipoTezis _____ axal gzebs aCvenebs, _____ yoveli Semowmebis arsi isaa, rom hipoTezam _____

misi _____ mcdelobas.

(a) dasabuTebis / radgan / xeli Seuwyos / uaryofis

(b) dasabuTebis / Tumca, / xeli Seuwyos / damtkicebis

(g) susti mxareebis gamovlenis / radgan / gauZlos / uaryofis

(d) susti mxareebis gamovlenis / Tumca, / gauZlos / dadasturebis

13. ironia komikur efeqts, STabeWdilebas imiT qmnis, rom adamianebisa da

movlenebisadmi _____ damokidebulebas _____ faravs. ironia `eTamaSeba~ Tavis

msxverpls, _____ da ase kidev ufro _____ mas.

(a) keTilganwyobil da seriozul / aSkarad gamoxatuli simpaTiiTa da

TanagrZnobiT / akritikebs da dascinis / abriyvebs

(b) keTilganwyobil da seriozul / kritikiTa da dacinviT / mis mimarT

simpaTias aSkarad gamoxatavs / abriyvebs

(g) kritikul, damcinav / moCvenebiTi keTilganwyobiTa da seriozulobiT / mis

mimarT simpaTias aSkarad gamoxatavs / seriozuls xdis

(d) kritikul, damcinav / garegnuli keTilganwyobiTa da mowonebiT / moCvenebiTi

simpaTiiT da seriozulobiT abriyvebs / sasacilos xdis

5

logika

am saxis davalebebi gansxvavdeba erTmaneTisgan winaswari 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.

14. mocemulia: • am qalaqSi mcxovrebi yvela bavSvi celqia

• arc erTi qera bavSvi ar aris celqi

davuSvaT, rom es debulebebi WeSmaritia. romeli daskvna gamomdinareobs maTgan?

(a) yvela celqi bavSvi am qalaqSi cxovrobs

(b) zogierTi qera bavSvi am qalaqSi cxovrobs

(g) am qalaqSi ar cxovrobs arc erTi qera bavSvi

(d) arc erTi bavSvi, romelic ar cxovrobs am qalaqSi, araa qera

15. wignis Taroze gverdigverd awyvia fizikis, qimiis, geografiisa da maTematikis saxelmZRvaneloebi (ara aucileblad am TanmimdevrobiT).

• geografiis saxelmZRvanelo devs fizikis saxelmZRvanelos gverdiT • geografiis saxelmZRvanelos gverdiT ar devs maTematikis saxelmZRvanelo • maTematikis saxelmZRvanelo arc qimiis saxelmZRvanelos gverdiT devs

qimiis saxelmZRvanelos gverdiT devs:

(a) mxolod geografiis saxelmZRvanelo

(b) mxolod fizikis saxelmZRvanelo

(g) rogorc fizikis, aseve, geografiis saxelmZRvanelo

(d) rogorc fizikis, aseve, maTematikis saxelmZRvanelo

16. mocemulia ori debuleba: • induri spiloebi ikvebebian balaxiTa da bananiT

• afrikuli spiloebi ikvebebian bananiTa da qoqosiT

gamoitanes daskvna:

im arsebaTa Soris, romlebic Wamen banans, arian spiloebic.

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

6

17. musikis moyvarulebi axalgazrda musikosTa konkursze gamarjvebas

uwinaswarmetyvelebdnen B musikoss, romelic jazuri musikis saukeTeso

Semsrulebeli iyo da yovelTvis aSkarad gamoxatavda Tavis gansakuTrebul

damokidebulebas jazis mimarT. magram konkursze gaimarjva D musikosma, romelic klasikuri musikis sferoSi moRvaweobda. musikis moyvarulebma es faqti axsnes

Jiuris wevrTa tendenciuri damokidebulebiT B-s mimarT.

qvemoT CamoTvlilTagan romeli matebs damajereblobas musikis moyvarulTa am

varauds?

(a) B sul axlaxlan dabrunda ucxoeTidan, sadac man jazuri musikis koncertebi gamarTa

(b) D gansakuTrebuli mondomebiT emzadeboda am konkursisTvis (g) Jiuris wevrTa umravlesoba klasikuri musikis sferoSi moRvawe xelovani iyo

(d) Jiuris Tavmjdomare cnobili kompozitori iyo, romlis erT-erTi

musikaluri kompozicia B-s repertuarSic iyo 18. fotografma italiis qalaqebSi gadaRebuli fotomasala 3 saqaRaldeSi

gaanawila. I saqaRaldes ewera `venecia~, II-s – `florencia~, III-s ki – `romi~.

marTlac, erT saqaRaldeSi ewyo mxolod veneciaSi, erTSi _ mxolod

florenciaSi, erTSi ki – mxolod romSi gadaRebuli fotoebi. amasTan, arc

erTi warwera ar Seesabameboda sinamdviles.

qvemoT CamoTvlilTagan, romeli debulebis WeSmaritebaa SeuZlebeli am

mocemulobis Tanaxmad?

(a) Tu I saqaRaldeSi awyvia florenciis fotoebi, maSin romis fotoebi II

saqaRaldeSia

(b) Tu III saqaRaldeSi awyvia florenciis fotoebi, maSin I saqaRaldeSi romis

fotoebia

(g) Tu II saqaRaldeSi veneciis fotoebia, maSin I saqaRaldeSi romis fotoebia

(d) Tu III saqaRaldeSi florenciis fotoebia, maSin II saqaRaldeSi romis

fotoebia

7

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

enisa da azrovnebis mWidro kavSiri eWvs ar iwvevs. magram ismis kiTxva: ena

mxolod azris gamoxatvas emsaxureba Tu Tavadac axdens gavlenas azris

Camoyalibebaze? azrovneben Tu ara erTnairad sxvadasxva enaze molaparake

adamianebi? am sakiTxs ikvlevdnen e. sepiri da b. l. uorfi. maT Camoayalibes

hipoTeza, romlis Tanaxmad, enobrivi Taviseburebebi gansazRvravs am enaze

molaparake adamianTa mier samyaros aRqmasa da azrovnebas.

uorfi miiCnevs, rom adamiani mSobliuri enis safuZvelze axdens samyaroSi

mimdinare movlenebis kategoriebad dayofas. Tanamedrove fsiqolingvists d. slobins

mohyavs Turqulenovani bavSvebis magaliTi. maT mSobliur Turqul enaSi arsebobs

zmnis sufiqsi, romelic gviCvenebs, rom mTxrobeli zmnaSi asaxuli moqmedebis

TviTmxilvelia. magaliTad, Turqi bavSvebi, sxva enebze molaparake bavSvebisgan

gansxvavebiT, burTis srolis situaciis aRwerisas Sesabamisi sityvis sxvadasxva

formas iyeneben imisda mixedviT, arian Tu ara am situaciis TviTmxilvelebi.

inglisur enaze molaparake adamianebisTvis ki samyaroSi mimdinare movlenebi

imTaviTve ar iyofa or kategoriad _ movlenebad, romlebic sakuTari TvaliT

ixiles, da movlenebad, romelTa Sesaxeb sxva wyaroebidan Seityves. samyaros aRqmaze

enis gavlenasTan dakavSirebiT sayuradReboa qarTvel da rus bavSvebze Catarebuli

eqsperimenti. bavSvebs sTxoves, daejgufebinaT sagnebi, ise, rom maTTvis winaswar ar

iyo cnobili, ra niSniT unda miekuTvnebinaT sagnebi ama Tu im jgufisTvis.

aRmoCnda, rom qarTvelma da rusma bavSvebma gamoyves saganTa sxvadasxva jgufebi imis

gamo, rom qarTul enaSi wvrili da Txeli sagnebis dasaxasiaTeblad gamoiyeneba

gansxvavebuli sityvebi, rusul enaSi ki orive es Tviseba erTi sityviT aRiniSneba.

enebs erTmaneTisgan ganasxvavebs is, Tu ramdenad advilad da zustad

SeiZleba gamovxatoT sityvebiT movlenebsa Tu sagnebs Soris arsebuli

gansxvavebebi. sxvadasxva enaSi ferTa saxelebis raodenoba sxvadasxvaa. lingvisturi

analizis safuZvelze dadginda, rom inglisur enaSi feris 11 dasaxeleba

arsebobs, xolo axali gvineis erT-erTi tomis enaSi _ mxolod ori: bneli da

naTeli. mecnierebma gamoTqves varaudi, rom ferTa saxelebis raodenoba gavlenas

axdens sxvadasxva enaze molaparake adamianTa mier ferebis klasificirebis unarze.

am varaudis Sesamowmeblad ikvlevdnen sxvadasxva enaze molaparake adamianTa mier

ferebis aRqmisa da klasificirebis Taviseburebebs.

eqsperimentSi cdispirebs sTxoves ganesazRvraT, sami feridan yvelaze metad

romeli gansxvavdeboda danarCeni orisgan. ferebi aRebuli iyo lurjidan

mwvanemde speqtrul diapazonSi (lurji, cisferi da mwvane). cdispirTa erT

jgufSi inglisurenovani adamianebi iyvnen (inglisur enaSi arsebobs mwvanisa da

lurjis leqsikurad gansxvavebuli erTeulebi, Tumca, lurji da cisferi erTi

sityviT aRiniSneba), xolo meoreSi – tarahumaras enaze molaparake meqsikelebi

(am enaSi cisfris, lurjisa da mwvane feris aRsaniSnavad arsebobs mxolod erTi

sityva). Tu sepir-uorfis hipoTeza marTebulia, maSin inglisurenovan cdispirebs

mwvane feri unda mieCniaT danarCeni orisgan _ lurjisa da cisfrisgan _

gansxvavebulad, xolo tarahumaras enaze molaparake cdispirebisTvis es amocana

SedarebiT rTuli unda yofiliyo. miRebuli Sedegebi sepir-uorfis hipoTezis

sasargeblod metyvelebda. Tumca, gasaTvaliswinebelia isic, rom arsebobs

kvlevebi, romlebic eWvqveS ayenebs am hipoTezis marTebulobas.

8

19. qvemoT CamoTvlilTagan romelSia asaxuli teqstis I abzacSi dasmuli

SekiTxvebis ZiriTadi azri?

(a) ena SesaZloa iyos ara mxolod azris gaformebis saSualeba, aramed

azrovnebis procesis aRmocenebis safuZveli

(b) ena SesaZloa emsaxurebodes rogorc azris gamoxatvas, ise mis sxvadasxvagvarad

gamoTqmas

(g) ena, savaraudod, gavlenas axdens azrovnebaze da sxvadasxva enaze molaparake

adamianTa gansxvavebulad azrovnebis ganmapirobebeli erT-erTi faqtoria

(d) ena, savaraudod, warmoadgens azris gamoxatvisa da Camoyalibebis rogorc

xelSemwyob, ise Semaferxebel faqtors

20. teqstis II abzacSi moyvanilia Turqulenovani bavSvebis magaliTi, agreTve, qarTvel da rus bavSvebze Catarebuli eqsperimentis Sedegebi. ra mimarTebaa maT

Soris?

(a) rogorc Turqulenovani bavSvebis magaliTi, ise eqsperimentis Sedegebi imaze

mianiSnebs, rom mSobliuri ena gansazRvravs samyaros movlenaTa

sxvadasxvagvarad dajgufebas

(b) rogorc Turqulenovani bavSvebis magaliTi, ise eqsperimentis Sedegebi eWvqveS

ayenebs im mosazrebas, rom mSobliuri ena gavlenas axdens samyaros movlenaTa

diferencirebisa Tu klasificirebis xasiaTze

(g) Turqulenovani bavSvebis magaliTi gviCvenebs, rom mSobliuri enis gavleniT

adamianebi gansxvavebulad aRiqvamen samyaros, xolo eqsperimentis Sedegebi

saganTa erTnairad dajgufebis SesaZleblobas uaryofs

(d) eqsperimentis Sedegebi adasturebs im mosazrebas, rom sxvadasxva enaze

molaparake adamianebi gansxvavebulad ajgufeben sagnebs, xolo Turqulenovani

bavSvebis magaliTi abaTilebs am mosazrebas

21. qvemoT CamoTvlilTagan romeli araa marTebuli?

(a) inglisur enaSi ar arsebobs zmnis iseTi sufiqsi, romlis meSveobiT

SesaZlebelia gavigoT, iyo Tu ara adamiani raime movlenis TviTmxilveli

(b) inglisur enaSi ar moipoveba sityvebi imis gadmosacemad, iyo Tu ara adamiani

raime movlenis TviTmxilveli

(g) inglisurenovan adamianebs gauWirdebaT mxolod erTi sityviT migvaniSnon,

iyvnen Tu ara raime movlenis TviTmxilvelni

(d) inglisurenovani adamianebisTvis movlenebi imTaviTve ar aris kategorizebuli

imis mixedviT, iyvnen Tu ara isini am movlenebis TviTmxilvelni

9

22. III da IV abzacebis safuZvelze SeiZleba vivaraudoT, rom:

(a) rac ufro meti sityva arsebobs enaSi ferebis aRsaniSnavad, miT ufro

mravalferovania am enaze molaparake adamianTa mier aRqmuli samyaro

(b) rac ufro naklebi sityva gamoiyeneba enaSi ferebis aRsaniSnavad, miT ufro

uWirT am enaze molaparake adamianebs movlenaTa Soris arsebuli msgavsebis

gamoxatva

(g) rac ufro meti sityva arsebobs enaSi gansxvavebuli ferebis aRsaniSnavad, miT

ufro zustad SeuZliaT am enaze molaparake adamianebs sagnebisa Tu

movlenebis daxasiaTeba feris mixedviT

(d) rac ufro naklebia ferebis aRmniSvneli sityva enaSi, miT ufro iSviaTad

sWirdebaT am enaze molaparake adamianebs ama Tu im feris sagnebTan

urTierToba

23. warmoidgineT, rom eqsperimentSi monawileobdnen qarTulenovani,

inglisurenovani da tarahumaras enaze mosaubre bavSvebi, romlebsac feris

mixedviT unda daejgufebinaT cisferi, mwvane da lurji fanqrebi. sepir-uorfis

hipoTezis Tanaxmad, mosalodnelia, rom:

(a) tarahumaras enaze molaparake bavSvebisgan gansxvavebiT, qarTulenovani da

inglisurenovani cdispirebi fanqrebis erTi da imave raodenobis jgufebs

gamoyofdnen

(b) fanqrebis yvelaze met jgufs gamoyofdnen qarTulenovani, Semdeg _

inglisurenovani da bolos _ tarahumaras enaze molaparake bavSvebi

(g) fanqrebis yvelaze met jgufs gamoyofdnen inglisurenovani cdispirebi, Semdeg

_ qarTulenovani da bolos _ tarahumaras enaze molaparake bavSvebi

(d) fanqrebis yvelaze met jgufs gamoyofdnen qarTulenovani bavSvebi, xolo

inglisurenovani da tarahumaras enaze molaparake cdispirebi _ erTi da imave

raodenobis jgufebs

24. ra mimarTebaa II da IV abzacebSi aRweril eqsperimentebs Soris?

(a) maTi Catarebis procedura gansxvavebulia, miuxedavad amisa, maTi mizani erTi

da imave movlenis Seswavla da erTi konkretuli Teoriuli koncefciis

Semowmeba iyo

(b) maTi Catarebis procedura identuria, miuxedavad imisa, rom maTi mizani

gansxvavebuli movlenebis Seswavla iyo, ris safuZvelzec erTi da igive

hipoTeza mowmdeboda

(g) maTi Catarebis procedura identuria, iseve, rogorc msgavsi iyo maTi

Seswavlis sagani, rac erTi da imave Teoriuli koncefciis Semowmebis

saSualebas iZleoda

(d) maTi Catarebis procedura gansxvavebulia, iseve, rogorc gansxvavebuli iyo

maTi Seswavlis sagani da Sesamowmebeli hipoTeza

10

25. teqstis avtoris mTavari mizania:

(a) dagvanaxos, Tu ra sirTuleebTanaa dakavSirebuli enisa da azrovnebis

urTierTmimarTebis sakiTxis Seswavla, rac dasabuTebulia eqsperimentuli

monacemebiT

(b) gviCvenos, rom azrovnebisa da enis urTierTkavSiris mravali aspeqti dRemde

ar aris Seswavlili, iseve, rogorc winaaRmdegobrivia am sakiTxis irgvliv

gamoTqmuli Sexedulebebi

(g) garkveul mecnierul mosazrebasTan mimarTebaSi ganixilos faqtobrivi masala

da eqsperimentuli monacemebi, romlebic enisa da azrovnebis urTierTkavSirs

Seexeba

(d) mravali urTierTsawinaaRmdego eqsperimentuli monacemisa da faqtobrivi

masalis analizis safuZvelze daasabuTos enisa da azrovnebis kavSiris Sesaxeb

arsebuli erT-erTi yvelaze cnobili hipoTeza

analogiebi

am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,

romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. maT gaswvriv

mocemulia sityva, romelsac savaraudo pasuxebidan unda SeusabamoT erT-erTi

varianti, ise, rom miRebul wyvilSi sityvaTa mniSvnelobebs Soris mimarTeba

gamuqebul sityvaTa urTierTmimarTebis msgavsi (analogiuri) iyos. pasuxis

arCevisas gaiTvaliswineT wyvilebSi sityvaTa Tanmimdevroba.

26. saTvistomo : Tanamemamule Teatris dasi :

(a) reJisori

(b) scenaristi

(g) msaxiobi

(d) personaJi

27. analogia : msgavseba simetria :

(a) ganlageba

(b) Tanazomiereba

(g) Sefardeba

(d) ganzomileba

28. qaravani : jogi gazoni :

(a) xeivani

(b) mindori

(g) nakrZali

(d) yvavilnari

29. teqstis fragmenti : citata sityva :

(a) mniSvneloba

(b) leqsika

(g) fraza

(d) termini

11

30. kvalificiuri : diletanturi udavo:

(a) safuZvliani

(b) daujerebeli

(g) marTebuli

(d) sakamaTo

31. yuri : melodiuri Tvali :

(a) mkrTali

(b) maxvili

(g) aRqmuli

(d) dakvirvebuli

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.

32. mona evripidesTvis, pirvel yovlisa, adamiania, romelsac _____ ufleba.

ufro metic, patiosani mona arafriT _____ . Tumca, evripide bolomde

Tanmimdevruli rodia. is iziarebs Sexedulebas, rom _____ es ukanasknelni

_____ dabadebulni.

(a) ar aqvs arCevanis / ar SeiZleba iyos Tavisufali moqalaqis swori / adamianebs

ver davyofT elinebad da barbarosebad, magram / mainc ar arian

TavisuflebisTvis

(b) ar aqvs arCevanis / ar SeiZleba iyos Tavisufali moqalaqis swori /

adamianebi iyofian elinebad da barbarosebad, da / monobisTvis arian

(g) aqvs arsebobis / ar aris Tavisufal moqalaqeze naklebi / adamianebi iyofian

elinebad da barbarosebad, magram / monobisTvis sulac ar arian

(d) aqvs arsebobis / ar aris Tavisufal moqalaqeze naklebi / adamianebi iyofian

elinebad da barbarosebad, da / monobisTvis arian

12

33. Tu me keTilganwyobas _____ sxva adamianis mimarT mxolod imitom, rom _____ momavalSic mqondes masTan saqme, _____ , rom sinamdvileSi me mis mimarT

keTilganwyobili _____ angarebiT _ sikeTe _____ , Tu is sakuTriv sikeTis

qmnas ar emsaxureba.

(a) viCen / msurs / es niSnavs / ki ar var, aramed vmoqmedeb / araa sikeTe

(b) ar viCen / ar msurs / es niSnavs / ar var da vmoqmedeb / mxolod maSinaa

sikeTe

(g) viCen / msurs / es ar niSnavs / ar var da vmoqmedeb / mxolod maSinaa sikeTe

(d) ar viCen / ar msurs / es ar niSnavs / ar var, rom vmoqmedeb / araa sikeTe

34. mdinare xmeleTis sxvadasxva nawils erTmaneTisgan yofs. miT ufro yofs maT zRva da amitom miCveulni varT, wyali gamyof faqtorad miviCnioT. _____ ,

araferi ise _____ . gamyofi mxolod _____ . magaliTad, xmelTaSua zRvam

mxolod imitom _____ antikuri samyaros centri gamxdariyo, rom _____ .

(a) amasTan / damaaxloebeli ar aris adamianebisTvis, rogorc xmeleTi / wyalia /

SeZlo / uamrav kunZuls akavSirebda kontinentur saberZneTTan

(b) Tumca / damaSorebeli ar aris adamianebisTvis, rogorc wyali / mTianeTia /

ver SeZlo / igi zRva iyo

(g) Tumca / damaaxloebeli ar aris adamianebisTvis, rogorc wyali / mTianeTia /

SeZlo / igi zRva iyo

(d) amasTan / damaSorebeli ar aris adamianebisTvis, rogorc xmeleTi / wyalia /

ver SeZlo / uamrav kunZuls akavSirebda kontinentur saberZneTTan

35. romelime sxva saxelmwifosTan koaliciaSi Sesvla aris valdebuleba _____ dacvisa, isini ki, SesaZloa, _____ interesebs. _____ , multipolarul sistemaSi

_____ kompleqsur Tavsatexs warmoadgens.

(a) sakuTari, anu koaliciaSi Semsvleli saxelmwifos interesebis / ar

ewinaaRmdegebodnen mokavSire saxelmwifos / Sesabamisad / sakuTari da

potenciuri mokavSireebis interesebis dapirispireba

(b) misi garkveuli interesebis / ewinaaRmdegebodnen koaliciaSi Semsvleli

saxelmwifos / Sesabamisad / sakuTari da potenciuri mokavSireebis

interesebis urTierTSeTanxmeba

(g) misi interesebis / ar ewinaaRmdegebodnen koaliciaSi Semsvleli saxelmwifos /

miuxedavad amisa / potenciuri mokavSireebis interesebis ignorireba

(d) sakuTari, anu koaliciaSi Semsvleli saxelmwifos interesebis /

ewinaaRmdegebodnen mokavSire saxelmwifos / miuxedavad amisa / sakuTari

interesebis ignorireba

13

36. rodesac umravlesobasa da umciresobaze msjeloben, erTi da imave jgufis wevrebs gulisxmoben, _____ individze umravlesobisa da umciresobis gavlenis

formebi _____ . umravlesobis zegavlenas Sedegad mosdevs _____ , magram

droebiTi daTmoba individis mxridan, _____ umciresobis zegavlenas _ _____

pirovnuli cvlilebebi.

(a) Tumca, / gansxvavebulia / aSkara, swrafi / xolo / araTvalsaCino, Tumca,

xangrZlivi da Rrma

(b) Sesabamisad, / gansxvavebuli araa / aSkara, swrafi / msgavsad amisa, /

araTvalsaCino, Tumca, xangrZlivi da Rrma

(g) miuxedavad amisa, / msgavsi araa / arcTu TvalsaCino, swrafi / maSin, rodesac

/ faruli da xanmokle

(d) swored amitom / msgavsia / arcTu TvalsaCino, faruli / analogiurad, /

aSkara da xangrZlivi

37. qarTuli xasiaTi _____ `mosasxamebs da niRbebs~ Tmobs daunaneblad, _____ maT `Camoglejas~, _____ . yovelive es (`mosasxamic~, `pirobiTobac~, `niRbebic~)

mas _____ Tvisebad warmoudgeba.

(a) iolad eleva `pirobiTobas~, iseve, rogorc / Tumca, mTeli ZaliT eswrafvis

/ radgan ar surs SiSvel sinamdviles Tvali gausworos / cxovrebis

umniSvnelo

(b) iolad eleva `pirobiTobas~, iseve, rogorc / mTeli ZaliT eswrafvis / raTa

SiSveli sinamdvile ixilos / cxovrebis arsebiT

(g) iolad ver eleva `pirobiTobas~, verc / aramc da aramc ar Cqarobs / radgan

ar surs SiSvel sinamdviles Tvali aaridos / cxovrebis umniSvnelo

(d) iolad ver eleva `pirobiTobas~, verc / aramc da aramc ar Cqarobs / raTa

SiSveli sinamdvile ixilos / cxovrebis arsebiT

14

logika

am saxis davalebebi gansxvavdeba erTmaneTisgan winaswari 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.

38. sportuli firmis dakveTiT Catarda kvleva imis gasarkvevad, romeli

produqciis reklama axsovT axalgazrdebs yvelaze ukeT. gamoikveTa erT-erTi

sportuli inventaris ori reklama. sportuli firmis xelmZRvanelobam es faqti

imiT axsna, rom Tavad es inventari gansakuTrebiT popularulia axalgazrdebSi.

qvemoT CamoTvlilTagan romeli ayenebs eWvqveS sportuli firmis

xelmZRvanelobis am varauds?

(a) orive reklamaSi monawileobdnen sportsmenebi, romelTa saxelebi da

garegnoba naklebad cnobilia axalgazrdebisTvis

(b) orive reklamas televiziiT daaxloebiT imave sixSiriT uCvenebdnen,

rogoriTac am firmis sxva produqciis reklamas

(g) sxva reklamebisgan gansxvavebiT, orive es reklama Txilamurebs uwevda

popularizacias, romlebic yvelaze gayidvad produqciad iTvleba sportis

samyaroSi

(d) sxva reklamebisgan gansxvavebiT, orive es reklama ganTavsebuli iyo banerebze,

romlebic, ZiriTadad, qalaqis centralur quCebze mdebareobda

39. mocemulia: • ar arsebobs msaxiobi, romelic hamletis rolis Sesrulebaze ar ocnebobs

qvemoT CamoTvlilTagan romelia am debulebis tolfasi?

(a) yvela, vinc hamletis rolis Sesrulebaze ocnebobs, msaxiobia

(b) vinc msaxiobi ar aris, ar ocnebobs hamletis rolis Sesrulebaze

(g) msaxiobTa umravlesoba ocnebobs hamletis rolis Sesrulebaze

(d) mxolod is aris msaxiobi, vinc hamletis rolis Sesrulebaze ocnebobs

15

40. mocemulia: • Tu guSin giorgim xelfasi aiRo da SabaTs ragbis matCze megobris

dapatiJeba surs, is an dResve dajavSnis bileTebs, an xval salaroSi wava

maT SesaZenad

• giorgis surs SabaTs ragbis matCze megobris dapatiJeba

• giorgis dRes bileTebi ar daujavSnia

qvemoT CamoTvlilTagan romeli viTarebis ganxorcielebaa SeuZlebeli am

mocemulobis Tanaxmad?

(a) giorgim guSin xelfasi aiRo da is xval salaroSi midis ragbis matCis

bileTebis SesaZenad

(b) giorgim guSin xelfasi aiRo da is xval salaroSi ar midis ragbis matCis

bileTebis SesaZenad

(g) giorgis guSin xelfasi ar auRia da is xval salaroSi midis ragbis matCis

bileTebis SesaZenad

(d) giorgis guSin xelfasi ar auRia da is xval salaroSi ar midis ragbis

matCis bileTebis SesaZenad

41. sami qalbatoni A, B da C msjelobs maTi saerTo nacnobis suraTebis

koleqciaze.

A: lados aqvs elene axvledianis oTxi originali mainc B: lados koleqciaSi elene axvledianis oTxi originali ar aris C: Cemi azriT, lados aqvs elene axvledianis sul mcire erTi originali

qalbatonebma daaTvalieres lados koleqcia. maTgan marTali aRmoCnda mxolod

erTi. elene axvledianis ramdeni originalia lados koleqciaSi?

(a) 0

(b) 1

(g) 2 an 3

(d) 4 an 5

42. mocemulia: • Tu SaSvs raime siamovnebs, is kargad galobs • SaSvs Zalian siamovnebs, rodesac TeTr Rrublebs xedavs

qvemoT CamoTvlilTagan romeli debuleba gamomdinareobs am wanamZRvrebidan?

(a) Tu SaSvi kargad ar galobs, is TeTr Rrublebs ver xedavs

(b) Tu SaSvi kargad galobs, is TeTr Rrublebs xedavs

(g) Tu SaSvi TeTr Rrublebs ver xedavs, kargad ver galobs

(d) Tu SaSvi kargad galobs, mas raRac siamovnebs

16

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

ra gziT moxda homerosis poemebis `iliadasa~ da `odiseas~ Camoyalibeba _

zepirad Tu werilobiT? folkloris mkvlevarTa azriT, zepiri gziT SeiZleba

Seiqmnas da Taobidan Taobas gadaeces sakmaod vrceli epikuri nawarmoebi. es

SesaZlebeli xdeba poet-Semsruleblis mier sagangebo epikuri enis codnis

wyalobiT, rac mravalricxovani poeturi formulis (leqsis erTsa da imave

poziciaSi regularulad ganmeorebadi sityvebisa da frazebis) damaxsovrebasa da

codnas gulisxmobs. ramdenadac homerosis eposSi bevria amgvari formula,

gansakuTrebiT ki e. w. gaqvavebuli epiTetebi, `zepiri poeziis~ momxreTa

TvalsazrisiT, homerosis poemebi zepirad Seiqmna da mxolod Semdgom Caiwera an

homerosisave epoqaSi, anda _ mogvianebiT.

homerosTan poeturi formulebis gamoyeneba mTel poemaSi eqvemdebareba

ganawilebis sruliad garkveul kanonebs, rac mxolod mkafio struqturis mqone,

werilobiT Seqmnil teqsts SeiZleba axasiaTebdes. magaliTad, poemis erTmaneTisgan

daSorebul adgilebSi erTi da imave formulis Segnebuli gamoyenebiT poeti

xazs usvams pasaJTa Soris kavSirs. gmirebi iseTi sixSiriT iyeneben maTi

metyvelebis erTmaneTisgan ganmasxvavebel sityvebsa Tu frazebs, rom ubralo

damTxveva praqtikulad gamoricxulia. ukanaskneli gamokvlevebiT naTeli gaxda,

rom homerosis poemebi mkacrad organizebul sistemas warmoadgens. kompoziciuri

organizaciis homerosiseuli principebi, moqmedebis agebis Taviseburebani, gmirTa

individualizaciis xerxebi mxolod werilobiTi gziT Seqmnili didi

eposisaTvisaa niSandoblivi.

homerosis orive poema agebulia kompoziciuri organizaciis im principTa

Sesabamisad, romlebic geometriuli epoqisTvis* aris damaxasiaTebeli. magaliTad,

romelime gmiris mier warmoTqmuli sityva warmoadgens garkveul struqturul

mTlianobas, xolo calkeuli winadadebebi misi Semadgeneli elementebia.

TiToeuli winadadeba raRac mniSvnelobis mqone erTeulia. analizma aCvena, rom

es winadadebebi mniSvnelobaTa msgavsebis an polarulobis mixedviT nawildeba

mTel sityvaSi ori ZiriTadi principiT: isini an sityvis centraluri nawilis

mimarT `wriulad~ ganlagdebian a b c b1 a1 mimdevrobiT, an paralelurad _

a b c…a1 b1 c1 mimdevrobiT arian warmodgenilni. sainteresoa wriuli kompoziciis

aseTi magaliTic: `iliadaSi~ pirveli qeba mTavrdeba Semdegi epizodebiT:

aqilevsisa da Tetisis saubari, Tetisis da zevsis saubari, kamaTi olimpoze.

xolo bolo qeba iwyeba tipologiurad msgavsi epizodebiT: kamaTi olimpoze,

zevsisa da Tetisis saubari, Tetisis da aqilevsis saubari... cxadia, epizodTa

tipologiur msgavsebaSi ar igulisxmeba maTi Sinaarsobrivi igiveoba: sxva aqvT

RmerTebs sakamaTo pirvel qebaSi da sxva rameze davoben isini bolo qebaSi.

amrigad, homerosis eposSi Sinaarsis mqone elementebi dalagebulia

kompoziciuri organizaciis ori ZiriTadi principis _ wriuli kompoziciisa da

paraleluri dayofis _ Sesabamisad. mesame principis, Tavisufali mimdevrobis,

roli SedarebiT umniSvneloa. kompoziciuri organizaciis es principebi Tavs

iCens rogorc umcires struqturul erTeulebSi (calkeuli gmiris mier

warmoTqmul sityvebSi), aseve, ufro mozrdilSi _ calkeul scenebsa Tu scenaTa

jgufebSi da, bolos, poemis mTel struqturaSi.

*geometriuli epoqa _ (e.w. homerosis epoqa) Zv. w. aR IX-VIII ss. saberZneTSi; am periodis

xelovnebis nimuSebisTvis damaxasiaTebelia mkacri geometrizmi; geometriuli stili gulisxmobs

gansxvavebuli detalebisa Tu motivebis erTmaneTze damokidebulebas an maT koordinacias.

17

43. sagangebo epikuri enis codna SesaZlebels xdis:

(a) gaqvavebuli epiTetebis gamoyenebas leqsis erTsa da imave poziciaSi epikuri

nawarmoebis werilobiT Camoyalibebis dros

(b) regularulad ganmeorebadi sityvebisa da frazebis damaxsovrebas vrceli

epikuri nawarmoebis Seqmnis procesSi

(g) nairgvari poeturi formulebis sistemur gamoyenebas vrceli poemis zustad

gansazRvrul adgilebSi

(d) folklorul nimuSebSi poet-SemsrulebelTa erTmaneTisgan gansxvavebas

poeturi formulebis originalurobis TvalsazrisiT

44. qvemoT CamoTvlilTagan romeli ar SeiZleba gamoviyenoT imis argumentad, rom homerosis poemebi werilobiT Camoyalibda?

(a) homerosis eposi originaluria kompoziciuri organizaciis, moqmedebis agebis

Taviseburebis Tu personaJTa individualizaciis TvalsazrisiT

(b) homerosis eposSi TiToeuli personaJis metyvelebisTvis damaxasiaTebeli

sityvebisa da gamoTqmebis gamoyeneba garkveuli wesebis safuZvelze xdeba

(g) homerosis eposSi poeturi formulebi mkacrad organizebuli sistemis,

garkveuli kanonzomierebis safuZvelzea ganawilebuli

(d) msgavsi poeturi formulebis mizanmimarTulad ganawileba erTmaneTisgan

sakmaod daSorebul monakveTebSi epizodTa garkveul urTierTmimarTebaze

metyvelebs

45. ra mimarTebaa III abzacsa da sqolios Soris?

(a) III abzacSi homerosis poemebi ganxilulia, rogorc struqturuli mTlianoba,

sqolioSi ki dadasturebulia am poemebisTvis niSandoblivi swrafva

geometrizmisken da sistematizaciisken

(b) III abzacSi axsnilia kompoziciuri organizaciis homerosiseuli principebi,

sqolioSi ki ganmartebulia homerosis epoqisTvis damaxasiaTebeli

geometriuli stilis specifika

(g) III abzacSi warmodgenilia teqstis organizebis geometriuli epoqisTvis

damaxasiaTebeli principebi, sqolioSi ki es principebi Sedarebulia amave

epoqis mxatvruli nawarmoebis agebis wesTan

(d) III abzacSi axsnilia poemebSi mniSvnelobis mqone calkeul elementTa

ganawilebis homerosiseuli principi, sqolioSi ki ilustrirebulia

gansxvavebul elementTa Taviseburebani

18

46. ra funqcia aqvs teqstSi simbolur Canawerebs _ abcb1a1 , abc…a1b1c1?

es gamosaxulebebi:

(a) TvalsaCinos xdis poemis kompoziciis sapirispiro polusebis Sinaarsobriv

identurobas

(b) warmoadgens antikuri saberZneTis mxatvrul azrovnebaSi damkvidrebuli

principebis ilustrirebas

(g) warmoadgens xalxuri da werilobiT Seqmnili eposis tipologiuri msgavsebis

ilustrirebas

(d) TvalsaCinos xdis wriuli kompoziciis aTvlis wertils, anu poemis

kompoziciur centrs

47. fraza _ `sxva aqvT RmerTebs sakamaTo I qebaSi da sxva rameze davoben isini bolo qebaSi~ _ imas migvaniSnebs, rom:

(a) poemis erTmaneTisgan daSorebul adgilebSi erTi da imave formulis

Segnebuli gamoyenebiT poeti xazs usvams pasaJTa Soris kavSirs

(b) rodesac epizodebi centris mimarT wriuladaa ganlagebuli, maSin

tipologiur msgavsebaSi ar igulisxmeba Sinaarsobrivi igiveoba, paraleluri

dayofisas ki _ piriqiT, tipologiuri msgavseba gulisxmobs Sinaarsobrivs

(g) struqturulad msgavsi winadadebebi mTel sityvaSi an calkeuli scenebi

mTel teqstSi garkveuli principiT nawildeba, miuxedavad maTi Sinaarsis

igiveobisa Tu sxvaobisa

(d) romelime gmiris mier warmoTqmuli sityva an poemis calkeuli epizodi

warmoadgens garkveul struqturul mTlianobas, romelTa pirveli da bolo

nawilebi Sinaarsobrivad identuria

19

48. qvemoT warmodgenilia `iliadas~ dasawyissa da dasasruls ganlagebuli (I da XXIV qebaTa epizodebis) scenebi:

epizodebisa Tu scenebis ganlagebis romeli aRweraa marTebuli?

(a) poemis centraluri nawilis mimarT I da XXIV qebaTa epizodebi wriulad

arian ganlagebulni, am epizodTa scenebi ki erTmaneTs paraleluri dayofis

principiT ukavSirdeba

(b) qebaTa scenebi rogorc centris, aseve, erTmaneTis mimarT wriuli

kompoziciis principiTaa ganawilebuli

(g) pirvel da bolo qebaTa es epizodebi erTmaneTis mimarT wriulad arian

ganlagebulni, xolo centraluri nawilis mimarT _ paraleluri mimdevrobis

Sesabamisad

(d) pirvel qebaSi scenebi ganlagebulia tipologiuri msgavsebis, xolo bolo

qebaSi _ tipologiuri gansxvavebis niSniT

49. teqstis Tanaxmad, ra mimarTebaa folklorsa da homerosis eposs Soris?

(a) zepiri gziT iqmneba vrceli folkloruli nawarmoebi; homerosis eposi

mravali niSniT hgavs xalxurs, Sesabamisad, isic zepirad unda Seqmniliyo

(b) folklorisTvis damaxasiaTebeli poeturi formulebis ganawilebis principi

umcires struqturul erTeulebSi iCens Tavs, homerosis eposSi ki igive

principi Cans mTel struqturaSi

(g) Sinaarsis mqone elementTa kompoziciuri ganawilebis wriuli Tu paraleluri

mimdevrobis principi, homerosis eposisgan gansxvavebiT, folklorul

nimuSebSi mkacrad gansazRvruli ar aris

(d) folklorisTvis damaxasiaTebelia specifikuri epikuri ena; igive maxasiaTebeli

homerosTan iZens sistemur xasiaTs _ teqstis umciresi erTeulidan mis

mTlian struqturamde

50. teqsti iwyeba SekiTxviT. romel abzacSi gvaqvs misi pasuxi?

(a) I abzacSi _ homerosis poemebi zepirad Seiqmna da mxolod Semdeg Caiwera an

homerosisave epoqaSi, anda _ mogvianebiT

(b) II abzacSi _ organizebuli sistema da poeturi formulebis kanonzomieri

gamoyeneba pasaJTa Soris mimarTebis xazgasasmelad mxolod werilobiTi gziT

Seqmnili eposisTvisaa niSandoblivi

(g) III abzacSi _ homerosis orive poema agebulia kompoziciuri organizaciis im

principTa Sesabamisad, romlebic geometriuli epoqis xelovnebisTvisaa

damaxasiaTebeli

(d) IV abzacSi _ homerosis eposSi teqstis organizebis ZiriTadi principebia

wriuli kompozicia da paraleluri dayofa, epizodTa Tavisufal mimdevrobas

ki sistemuri xasiaTi ar aqvs

epizodi I qebidan epizodi XXIV qebidan

a qrise midis agamemnonTan gamosasyidiT a1 priamosi midis aqilevsTan gamosasyidiT b agamemnoni ar iRebs gamosasyids b1

aqilevsi iRebs gamosasyids

c kamaTi aqilevssa da agamemnons Soris c1 saubari aqilevssa da priamoss Soris

d briseidas motaceba d1 briseidas dabruneba

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

51.

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

52.

rombis perimetri tolia im tolferda samkuTxedis

perimetrisa, romlis ferdis sigrZe fuZis sigrZeze

naklebia.

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

53. a = –1, b = 2. (a) (b) (g) (d)

54.

ricxvebis cifrul CanawerebSi zogierTi cifri

kvadratiTaa dafaruli (TiTo cifri _ TiTo

kvadratiT).

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

55.

piramidis wiboebis raodenoba ar aRemateba 8-s.

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

356

73 :

154

32 :

rombis gverdis sigrZe

tolferda samkuTxedis fuZis sigrZe

6a – 8 : b (6a – 8) : b

3906 7 – 3 8

am piramidis

waxnagebis raodenoba 5

23

56.

k naturaluri ricxvia.

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

57.

toldanayofebian skalaze moniSnulia E, F da Dqveynebis mosaxleobaTa raodenobebis Sesabamisi

wertilebi. amasTan, E da D qveynebis mosaxleobaTa

raodenobebi (milionebSi) naxazzea miTiTebuli.

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

58.

klebis mixedviT dalagebuli nebismieri eqvsi ricxvis

mediana mesame da meoTxe ricxvebis saSualo

ariTmetikulis tolia. mocemulia klebis mixedviT

dalagebuli eqvswevriani mimdevroba, romlis mesame

wevri 18-ze metia.

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

amocanebi

59. 13,8 milionze 6-jer naklebia:

(a) 2 milion 100 aTasi (b) 2 milion 200 aTasi (g) 2 milion 300 aTasi (d) 2 milion 400 aTasi (e) 2 milion 800 aTasi

( )k21·8 22 +k

miRebuli mimdevrobis mediana 18

260 milioni F qveynis mosaxleobis raodenoba

24

60. oTxi ricxvidan pirveli 3-iT metia meoreze, magram 7-iT naklebia mesameze, xolo meoTxe ricxvi orjeraa naklebi meore da mesame ricxvebis jamze. ramdeniT

metia meoTxe ricxvi pirvelze? (a) 2-iT (b) 4-iT (g) 6-iT (d) 8-iT (e) 10-iT 61. erTnairi zomis kubebi ise daawyves, rom kibis formis sxeuli miiRes (ix. naxazi).

sul ramdeni kubi dauwyviaT? (a) 29 (b) 34 (g) 48 (d) 56 (e) 80

62. Tu ( ) ( )yy 37·56· 81

81 +−−=+− , maSin 2y =

(a) –8 (b) –6 (g) –5 (d) –4 (e) –2

monacemTa analizi

saTxilamuro trasaze misasvlelad sargebloben sabagiro gziT, romlis

muSaobis xangrZlivoba, Cveulebriv, amindzea damokidebuli. uamindobis

SemTxvevaSi sabagiro gza ar muSaobs. diagramaze texilebiT SemosazRvrulia

areebi, romlebic gviCvenebs, noembris romel dReebSi da romel saaTebSi

muSaobda sabagiro gza. magaliTad, diagramidan Cans, rom 1 noembers sabagiro gza muSaobda mxolod 12.00 sT-dan 14.00 sT-mde.

25

diagramis mixedviT upasuxeT Semdeg oTx SekiTxvas:

63. ramdeni saaTis ganmavlobaSi muSaobda sabagiro gza 18 noembers? (a) 4 (b) 5 (g) 6 (d) 7 (e) 8

64. CamoTvlilTagan romel dRes ver visargeblebdiT sabagiro gziT 16.00 sT-ze? (a) 3 noembers (b) 8 noembers (g) 19 noembers (d) 26 noembers (e) 28 noembers

65. noemberSi sul ramdeni dRe iyo iseTi, roca sabagiro gza an ar muSaobda, an misi muSaobis xangrZlivoba ar aRemateboda 2 saaTs? (a) 2 (b) 4 (g) 6 (d) 8 (e) 10

66. sabagiro gziT erT saaTSi maqsimum 300 adamianis gadayvanaa SesaZlebeli. mgzavrobis safasuri 40 TeTria. maqsimum ramdeni lari SeiZleba iyos 14 noembers sabagiro gziT mgzavrebis gadayvaniT miRebuli Semosavali? (a) 300 (b) 340 (g) 400 (d) 480 (e) 520

26

amocanebi

67. momRerlebma gadawyvites saqvelmoqmedo koncerti aprilis meore SabaTs gaemarTaT.

romel aprils unda Catarebuliyo es

koncerti (naxazze mocemulia amave wlis

maisis kalendari)?

(a) 9 aprils (b) 10 aprils (g) 11 aprils (d) 12 aprils (e) 13 aprils

68. K wertili ABCD paralelogramis BC gverdze mdebare iseTi wertilia, rom AB monakveTi BK monakveTis tolia. °=∠ 100ABC , °=∠ 65ADK . risi tolia AKD∠ ? (a) 65° (b) 70° (g) 75° (d) 80° (e) 85°

69. b iseTi ricxvia, rom bb +<− 1232 . CamoTvlilTagan romlis toli

ar SeiZleba iyos 4+b ? (a) 1 (b) 2 (g) 3 (d) 4 (e) 5

70. dito ricxvebis Casawerad erTeulebs aRniSnavda niSniT, xuTeulebs _

niSniT, xolo oceulebs _ niSniT. magaliTad, ricxvi 48 ditos aRniSvnebiT ase Caiwereba: . rogor Caiwereba ditos aRniSvnebiT

jamis gamoTvliT miRebuli ricxvi? (a)

(b)

(g)

(d)

(e)

m a i s i

orSabaTi 6 13 20 27 samSabaTi 7 14 21 28 oTxSabaTi 1 8 15 22 29 xuTSabaTi 2 9 16 23 30 paraskevi 3 10 17 24 31 SabaTi 4 11 18 25 kvira 5 12 19 26

27

71. klasSi 24 moswavlea. maTgan Zma hyavs 12 moswavles, dac da Zmac _ 5-s, xolo gia da nino dediserTebi arian. am klasis sul ramden moswavles hyavs da? (a) 7 (b) 12 (g) 15 (d) 17 (e) 19

72. marTkuTxa samkuTxedidan, romlis erTi kaTetis sigrZea 5 sm, meorisa _ 7 sm, amokveTilia kvadrati, romlis gverdis sigrZea 2 sm. ramdeni kvadratuli santimetria samkuTxedis darCenili nawilis farTobi?

(a) 13,5 (b) 20 (g) 27,5 (d) 31 (e) 32,5

73. wiTeli burTula 6-jer mZimea lurjze, magram 3-jer msubuqia mwvane

burTulaze; yviTeli burTula 3-jer mZimea TeTr burTulaze, magram 2-jer msubuqia mwvaneze. ramdenjer naklebia lurji burTulis wona TeTri burTulis

wonaze? (a) 9-jer (b) 6-jer (g) 5-jer (d) 4-jer (e) 3-jer

74. Tu a, b da c erTmaneTisagan gansxvavebuli, 15-ze naklebi naturaluri ricxvebia, maSin a : b – 3 · c gamosaxulebis udidesi mniSvnelobaa:

(a) 4 (b) 6 (g) 8 (d) 10 (e) 12

75. qvemoT mocemulTagan romeli xuTkuTxedis wveroebis koordinatebi SeiZleba iyos (–3; 2), (0; 1), (1; 3), (2; 0), (–2; –2)?

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

28

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

76.

12 fanqarsa da 9 kalamSi 15 lari gadaixades.

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

77.

( )* -iT aRniSnulia frCxilebSi moTavsebuli ricxvebis namravlis mniSvneloba. magaliTad,

( ) 66·5,0·26;5,0;2 * == .

x, y da z _ dadebiTi ricxvebia.

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

78.

ABCD kvadratis farTobia 28 sm2. M wertili CD

gverdis Suawertilia, xolo N wertili AB gverdze

mdebareobs, oRond A-sTan ufro axlos, vidre _ B-sTan.

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

79.

vaJas xelfasi 20 %-iT momatebis Sedegad a lariT gaizarda, xolo sandros xelfasi 25 %-iT daklebis

Sedegad 2a lariT Semcirda.

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

25 lari 20 fanqrisa da 15 kalmis Rirebuleba

( ) ( )** ;·; zyyx ( )*;; zyx

5 sm2AMN samkuTxedis farTobi

vaJas xelfasi

momatebamde

sandros xelfasi

Semcirebamde

29

80.

auzSi 3 erTnairi miliT 15 wuTSi 4 tona wyali

Caedineba.

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

81.

nesvi 3 kg-ze naklebs iwonis. am nesvisa da sazamTros wonaTa saSualo ariTmetikuli ki 7 kg-ze metia.

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

82.

wrewiri, romlis radiusis sigrZea r, masze mdebare E da F wertilebiT dayofilia or rkalad, romelTagan

umciresis sigrZea 0,9r. OE da OF radiusebiT Sedgenili kuTxis sidide β-s tolia.

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

amocanebi

83. cifrebiT: 2, 3 da 5 Caweres 3-ze meti da 5-ze naklebi yvela SesaZlo aTwiladi ise, rom yoveli aTwiladis Cawerisas gamoiyenes samive cifri,

TiToeuli _ mxolod erTxel. miRebuli aTwiladebidan udidesisa da umciresis

jami tolia:

(a) 5,87-is (b) 6,50-is (g) 6,77-is (d) 7,67-is (e) 8,84-is

3 tona wylis wona, romelic

auzSi 2 aseTive miliT 20 wuTSi Caedineba

10 kg sazamTros wona

60°β

30

84. Tu k ricxvis 30% orjer naklebia n-ze, maSin =nk

(a) 321

(b) 0,15 (g)

311

(d) 8 (e)

212

85. ana maisurisa da Sarvlis Cacmas apirebs. mas aqvs wiTeli, TeTri da lurji maisurebi da amave ferebis sami Sarvali. ana arasodes icvams erTi da imave

feris samoss erTad. maisurisa da Sarvlis Sexamebis ramdeni SesaZlo varianti

aqvs anas? (a) 5 (b) 6 (g) 7 (d) 8 (e) 9

86. zuTxis wona 5 kilogramiT aRemateba oragulis wonas. oragulis wona zuTxis wonis 5

3 nawilis tolia. ras udris zuTxis wona?

(a) 8 kg (b) 9,5 kg (g) 10 kg (d) 12,5 kg (e) 15 kg

monacemTa analizi

wriul diagramaze mocemulia, 2004 wels erT-erT

qveyanaSi importirebuli tvirTis saerTo wonis

ramdeni procenti iqna gadaziduli rkinigziT,

avtotransportiT, sazRvao Tu sahaero transportiT.

cxrilSi ki mocemulia, 2003 da 2004 wlebSi am qveyanaSi importirebuli tvirTidan ramdeni milioni

tona iqna gadaziduli rkinigziT da

avtotransportiT da ra saxis iyo es tvirTi (sakvebi

produqtebi, samrewvelo saqoneli Tu sxva).

sakvebi produqtebi samrewvelo saqoneli sxva saqoneli

rkinigza avtotransporti rkinigza avtotransporti rkinigza avtotransporti

2003 w. 30 2,7 31 12 28 3,3 2004 w. 25 12,8 30 9 17 8,2

31

diagramisa da cxrilis mixedviT upasuxeT Semdeg oTx SekiTxvas:

87. ramdenjer naklebi iyo 2004 wels avtotransportiT gadaziduli tvirTis wona sazRvao transportiT gadaziduli tvirTis wonaze? (a) 1,2-jer (b) 1,3-jer (g) 1,4-jer (d) 1,5-jer (e) 1,6-jer

88. sul ramdeni milioni tona tvirTi iqna gadaziduli rkinigziT 2003 wels? (a) 59 (b) 61 (g) 76 (d) 82 (e) 89

89. ramdeni procentiT naklebi iyo 2004 wels avtotransportiT gadaziduli samrewvelo saqonlis wona 2003 welTan SedarebiT? (a) 5%-iT

(b) 10%-iT

(g) 15%-iT

(d) 20%-iT

(e) 25%-iT

90. ramdeni milioni tona tvirTi gadauzidavT sahaero transportiT 2004 wels? (a) 10 (b) 12 (g) 14 (d) 16 (e) 18

32

amocanebi

91. iseTi ukveci wiladebidan, romelTa mniSvneli 20-is tolia, ramdenia 51-ze

meti, magram 21-ze naklebi?

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

92. 1 kg makulaturisgan SeiZleba damzaddes 25-30 cali Txeli rveuli an 10-15 cali sqeli rveuli. bavSvebma Seagroves makulatura, romlisganac SesaZlebelia

damzaddes minimum 40 cali sqeli rveuli. maqsimum ramdeni Txeli rveuli

SeiZleba damzaddes bavSvebis mier Segrovili makulaturisgan? (a) 60 (b) 80 (g) 100 (d) 120 (e) 150 93. ABC samkuTxedis samive wvero im badis kvanZebs emTxveva, romlis TiToeuli ujredi kvadratia

(ix. naxazi). ramdenjer metia am samkuTxedis

AC gverdis sigrZe BC gverdis sigrZeze? (a) 1,2-jer (b) 1,4-jer (g) 1,5-jer (d) 1,6-jer (e) 1,8-jer

94. nikam 100 litri RviniT 5-litriani, 10-litriani da 30-litriani bocebi gaavso, sul _ 7 boca. ramdeni 10-litriani boca gauvsia mas? (a) 2 (b) 3 (g) 4 (d) 5 (e) 6

33

95. zRvis wyals Seuries sufTa wyali, romlis wona orjer naklebi iyo zRvis wylis wonaze. miRebul xsnarSi marilis wona xsnaris wonis 2% aRmoCnda. zRvis wylis wonis ramdeni procenti yofila marilis wona? (a) 2% (b) 3% (g) 4% (d) 5% (e) 6%

96. qaRaldis 3 furclidan TiToeuli daWres 5 nawilad. Semdeg miRebuli

naWrebidan erT-erTi kvlav 5 nawilad daWres da ase gaimeores ramdenjerme.

CamoTvlilTagan romlis toli SeiZleba iyos miRebuli naWrebis saerTo

raodenoba? (a) 34 (b) 36 (g) 39 (d) 41 (e) 44

97. sibrtyeze mocemulia sami wrewiri, romelTa radiusebis sigrZea 5 sm. am

wrewirTa centrebs Soris manZilebia 10 sm, 10 sm da 8 sm. sul ramdenia iseTi wertili, romelic am wrewirTagan romelime oris saerTo wertilia? (a) 1 (b) 2 (g) 3 (d) 4 (e) 5

34

98. qalaqidan sofelSi avtobusi 5 saaTSi Cavida, xolo msubuqi avtomanqana imave gziT _ 3 saaTSi. rogorc avtobusi, aseve, msubuqi avtomanqana, Tanabari siCqariT, Seferxebebis gareSe moZraobda. ramdenjer aRemateba avtobusis mier

2 saaTSi gavlili manZili msubuqi avtomanqanis mier 1 sT-Si gavlil manZils? (a) 1,2-jer (b) 1,4-jer (g) 1,8-jer (d) 2-jer (e) 2,4-jer

99. mravalkuTxedis ori mezobeli wverodan gavlebulia yvela diagonali. maTi raodenoba 10-is tolia. ramdeni wvero aqvs am mravalkuTxeds? (a) 6 (b) 7 (g) 8 (d) 9 (e) 10

100. p da q iseTi naturaluri ricxvebia, rom qp > da 34=+ qp .

maqsimum risi toli SeiZleba iyos p-s q-ze gayofisas miRebuli naSTi? (a) 7 (b) 8 (g) 9 (d) 10 (e) 11