instruqciainstruqciainstruqciainstruqciainstruqcia

testi Sedgeba ori _ verbaluri da maTematikuri _ nawilisagan.

TiToeuli nawili 50 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 axlavsarCeuli pasuxi aucileblad moniSneT pasuxebis furcelze, romelic axlavsarCeuli pasuxi aucileblad moniSneT pasuxebis furcelze, romelic axlavsarCeuli pasuxi aucileblad moniSneT pasuxebis furcelze, romelic axlavsarCeuli pasuxi aucileblad moniSneT pasuxebis furcelze, romelic axlavs

tests (Sesabamisi instruqcia ixileT pasuxebis furcelze).tests (Sesabamisi instruqcia ixileT pasuxebis furcelze).tests (Sesabamisi instruqcia ixileT pasuxebis furcelze).tests (Sesabamisi instruqcia ixileT pasuxebis furcelze).tests (Sesabamisi instruqcia ixileT pasuxebis furcelze).

testis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebistestis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebistestis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebistestis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebistestis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebis

testirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclistestirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclistestirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclistestirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclistestirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclis

safuZvelze.safuZvelze.safuZvelze.safuZvelze.safuZvelze.

testis TiToeul nawilze samuSaod geZlevaT 1 saaTi da 30 wuTi.testis TiToeul nawilze samuSaod geZlevaT 1 saaTi da 30 wuTi.testis TiToeul nawilze samuSaod geZlevaT 1 saaTi da 30 wuTi.testis TiToeul nawilze samuSaod geZlevaT 1 saaTi da 30 wuTi.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,Tu gaTvaliswinebulze meti droiT SeyovndebiT testis ama Tu im nawilze,Tu gaTvaliswinebulze meti droiT SeyovndebiT testis ama Tu im nawilze,Tu gaTvaliswinebulze meti droiT SeyovndebiT testis ama Tu im nawilze,Tu gaTvaliswinebulze meti droiT SeyovndebiT testis ama Tu im nawilze,

Tqveni naSromi ar Semowmdeba.Tqveni naSromi ar Semowmdeba.Tqveni naSromi ar Semowmdeba.Tqveni naSromi ar Semowmdeba.Tqveni naSromi ar Semowmdeba.

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

Semdeg davalebaze.

Canawerebis an naxazebisaTvis gamoiyeneT mxolod da mxolod testis

furclebze arsebuli carieli adgilebi.

gisurvebT warmatebas!gisurvebT warmatebas!gisurvebT warmatebas!gisurvebT warmatebas!gisurvebT warmatebas!

zogadi unarebis testizogadi unarebis testizogadi unarebis testizogadi unarebis testizogadi unarebis testi

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IIIII

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. Tma : nawnavi

(a) Toki : mavTuli

(b) bumbuli : frTa

(g) simindi : fuCeCi

(d) liToni : jaWvi

2. seria : seriali

(a) marcvali : brinji

(b) vagoni : matarebeli

(g) toti : xe

(d) terfi : fexi

3. miwa : nafexuri

(a) mexsiereba : STabeWdileba

(b) ganwyoba : qceva

(g) Semecneba : realoba

(d) aRqma : mxedveloba

4. droSa : gerbi

(a) guaSi : saRebavi

(b) saaTi : samajuri

(g) lagami : unagiri

(d) burTi : sfero

5. mRvrie : amRvrevs

(a) vrceli : avrcelebs

(b) tkbili : atkbobs

(g) mcdari : acdens

(d) fuWi : afuWebs

3

6. kompozitori : avtori

(a) advokati : prokurori

(b) filosofosi : mecnieri

(g) TanaSemwe : xelmZRvaneli

(d) bankiri : molare

7. beReli : marani

(a) maRazia : vitrina

(b) Tavla : ipodromi

(g) afTiaqi : klinika

(d) muzeumi : biblioTeka

8. sicive : Termometri

(a) mxedveloba : saTvale

(b) siCqare : wammzomi

(g) simZime : saswori

(d) mimarTuleba : kompasi

4

winadadebebis Sevseba

am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaa

gamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli.

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

savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlis

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

varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis

gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.

9. Tu fizikoss eWvi epareba eqsperimentis Sedegebis sandoobaSi, mas _____

gaimeoros an daxvewos eqsperimenti, radgan fizikosis kvlevis obieqti drois

_____ mocemuli. istoriis sagani _____ fizikis sagnisgan, istoriis obieqti

mxolod warsuls _____ .

(a) SeuZlia / mxolod garkveul monakveTSia / mkveTrad gansxvavdeba / rodi

ekuTvnis

(b) ar SeuZlia / yovel monakveTSi rodia / ar gansxvavdeba / rodi ekuTvnis

(g) SeuZlia / yovel monakveTSia / mkveTrad gansxvavdeba / ekuTvnis

(d) ar SeuZlia / mxolod garkveul monakveTSi rodia / ar gansxvavdeba /

ekuTvnis

10. adamianTa umravlesoba xedavs _____ , magram ver xedavs _____ . Sedegis dasanaxad _____ , maSin, rodesac mizezis ganWvreta _____ , Tumca, es

ukanaskneli _____ Wvrets.

(a) Sedegs / mizezs / Tvalic kmara / SesaZlebelia mxolod gonebiT / Sedegsac

(b) Sedegs / mizezs / gonebac kmara / mxolod TvaliTaa SesaZlebeli / mizezsac

(g) mizezs / Sedegs / Tvali ar kmara / SeuZlebelia mxolod gonebiT / mizezsac

(d) mizezs / Sedegs / goneba ar kmara / SeuZlebelia mxolod TvaliT / Sedegsac

11. erovnuli TviTmyofadobis idea kvlav gaxda _____ wyaro. _____ Tavad ideis arsSi ki ar unda veZeboT, aramed calkeul adamianTa mier mis _____ ,

rac SeiZleba iqces adamianebs Soris _____ damokidebulebis mizezad.

(a) urTierTsiyvarulisa da Semwynareblobis / amis safuZveli / araswor

interpretaciaSi / arahumanuri

(b) konfliqtebisa da Seuwynareblobis / magram problema / marTebul axsnaSi /

humanuri

(g) urTierTsiyvarulisa da Semwynareblobis / amis safuZveli / marTebul axsnaSi /

arahumanuri

(d) konfliqtebisa da Seuwynareblobis / magram problema / araswor

interpretaciaSi / arahumanuri

5

12. rac unda _____ iyos mxatvruli nawarmoebi, igi _____ aRqmuli sinamdvilis _____ . is mcire _____ Seicavs da sinamdvilidan miRebuli masalis _____

warmoadgens.

(a) realisturi / yovelTvis aris / ubralo reproduqcia / ganzogadebasac ar /

gadamuSavebas

(b) realisturi / arasodes araa / ubralo reproduqcia / ganzogadebas mainc /

gadamuSavebas

(g) fantastikuri / arasodes araa / transformacia / ganzogadebas mainc / zust

asls

(d) fantastikuri / yovelTvis aris / transformacia / ganzogadebasac ar / zust

asls

13. _____ da misTanani TavianTi _____ . SeuZlebelia, gonier kacs _____

esaxebodes is, risi _____ .

(a) simdidre, pativi, erTpirovnuli Zalaufleba / yalbi brwyinvalebiT mxolod

brbos xiblavs / sikeTed / zizRic dasabams aZlevs WeSmarit sikeTes

(b) humanizmi, Semwynarebloba, demokratiuli mmarTveloba / WeSmariti

RirebulebebiT xiblavs adamians / siyalbed ar / siyvarulic dasabams aZlevs

WeSmaritebas

(g) humanizmi, Semwynarebloba, demokratiuli mmarTveloba / brwyinvalebiT ver

atyuebs brbos / sikeTed / siyvarulic dasabams aZlevs WeSmarit sikeTes

(d) simdidre, pativi, erTpirovnuli Zalaufleba / yalbi RirebulebebiT xiblavs

adamians / siyalbed / siyvarulic dasabams aZlevs siZulvils

6

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 winadadebebi:

1. axla foTSi arc wvims da arc qaria

2. axla gorSi wvims, magram qari ar aris

3. axla foTSi ar wvims, magram Relavs zRva 4. axla gorSi wvims da qaria

winadadebaTa qvemoT CamoTvlili wyvilebidan romelia winaaRmdegobrivi, anu

iseTi, rom orive winadadebis erToblivi WeSmariteba SeuZlebelia?

(a) (1; 2)

(b) (2; 3)

(g) (2; 4)

(d) (3; 4)

15. fsiqologebma, romlebic mcirewlovan damnaSaveebTan muSaobdnen, TavianT

yovelwliur angariSSi aRniSnes, rom maTi muSaobis efeqti sakmaod dabali iyo

– im mcirewlovanTa didma nawilma, romelTac maT daxmareba gauwies, xelmeored Caidina danaSauli.

Sinagan saqmeTa saministros iniciativiT Catarebuli farTomasStabiani

kvlevis Sedegad ki aRmoCnda, rom mcirewlovan damnaSaveTa Soris sagrZnoblad

iklo danaSaulis xelmeored Cadenis SemTxvevebma.

riT SeiZleba aixsnas winaaRmdegoba, romelic TiTqosda arsebobs fsiqologTa

daskvnasa da Sinagan saqmeTa saministros monacemebs Soris?

(a) Sinagan saqmeTa saministros iniciativiT Catarebuli kvlevis Sedegebi

Sejerebul iqna fsiqologTa monacemebTan

(b) danaSaulis xelmeored Cadena did riskTanaa dakavSirebuli, rasac mozardebi,

Cveulebriv, Tavs arideben

(g) im mcirewlovan damnaSaveebs, romlebic kvlevaSi monawileobdnen, uWirT

fsiqologTa daxmarebis gareSe gaumklavdnen danaSaulis xelmeored Cadenis

cdunebas

(d) fsiqologebi muSaobdnen damnaSaveTa konkretul kategoriasTan, ris gamoc

maT angariSSi ver aisaxa mcirewlovan damnaSaveTa jgufisaTvis damaxasiaTebeli

zogadi tendencia

7

16. mwkrivSi 7 skami dgas. skamebze bavSvebi sxedan _ TiTo skamze TiTo bavSvi: sofo, daTo, lali, mari, vaJa, zurabi da kote (ara aucileblad am

TanmimdevrobiT).

garda amisa:

• sofo lalis erTaderTi mezobelia

• sofosa da daTos Soris oTxi bavSvi zis

• mari da sofo vaJas usxedan aqeT-iqidan

• daTosa da kotes Soris mxolod erTi bavSvi zis

ramdeni bavSvi zis lalisa da zurabs Soris?

(a) ori

(b) sami

(g) oTxi

(d) xuTi

17. ivnisSi maRaziaSi gayiduli televizorebis raodenoba gacilebiT aRemateboda yvela sxva saxis gayiduli sayofacxovrebo eleqtroteqnikis (macivrebis, sarecxi

manqanebis da a.S.) raodenobas. maRaziis mepatronem es faqti imiT axsna, rom

axlovdeboda msoflio Cempionati fexburTSi.

qvemoT CamoTvlilTagan romeli ayenebs eWvqveS maRaziis mepatronis mosazrebas?

(a) televizorebi, zogadad, ufro Zviria, vidre sxva sayofacxovrebo

eleqtroteqnika

(b) fexburTSi wina msoflio Cempionatis dawyebamdec aseve moxda _ maRaziaSi

gacilebiT meti raodenobis televizori gaiyida, vidre _ sxva

eleqtrodanadgarebi

(g) winasazafxulo periodSi myidvelebisTvis macivrebis SeZena, televizorebTan

SedarebiT, gacilebiT aqtualuri xdeba

(d) adamianebi Tavisufali drois udides nawils televizoris yurebas uTmoben,

zafxulis TveebSi ki maT gacilebiT meti Tavisufali dro aqvT, vidre _

weliwadis sxva dros

18. zeg aris meoTxe dRe SabaTis Semdeg. ra dRe iyo guSinwin?

(a) SabaTi

(b) kvira

(g) orSabaTi

(d) samSabaTi

8

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

yoveldRiur saubrebSi drodadro gvesmis sityva `WeSmariteba~. `WeSmariteba~ arsebiTi saxelia, magram is aRniSnavs Tvisebasac, romelic

axasiaTebs debulebebs. `WeSmaritis~ antonimad gamoiyeneba sityva `mcdari~. davuSvaT, mocemulia sami debuleba:

1) georgievskis traqtati xelmoweril iqna 1783 wels;

2) vaxtang meeqvse ruseTis imperatoris, petre pirvelis Zma iyo;

3) daviT aRmaSenebeli mefobda ramdenime saukunis win.

WeSmaritia debuleba, romlis Tanaxmadac georgievskis traqtati xelmoweril iqna

1783 wels, da mcdaria debuleba imis Sesaxeb, rom vaxtang meeqvse ruseTis

imperatoris, petre pirvelis Zma iyo. WeSmariti debuleba yovelTvis WeSmaritia,

xolo mcdari _ yovelTvis mcdari. magaliTad, yovelTvis WeSmaritia, rom

georgievskis traqtati xelmoweril iqna 1783 wels, da aseve yovelTvis mcdaria, rom vaxtang meeqvse petre pirvelis Zma iyo. zmnizeda `yovelTvis~, ubralod, imas niSnavs, rom Tu georgievskis traqtati marTlac xelmoweril iqna 1783 wels, am

faqts veraferi Secvlis, da Tu vaxtang meeqvse ar iyo petre pirvelis Zma,

veraferi moxdeba iseTi, rac maT Zmebad aqcevs. SeiZleba gamoCndnen mecnierebi,

romlebic daamtkiceben, rom traqtats xeli moaweres sxva wels da rom vaxtang

meeqvse da petre pirveli Zmebi iyvnen. magram amgvari argumentebi mxolod imas

daamtkicebs, rom pirveli debuleba arasodes yofila WeSmariti, meore ki arasodes

yofila mcdari. ar arsebobs argumenti im mosazrebis sasargeblod, rom es

debulebebi garkveuli drois ganmavlobaSi WeSmaritia, sxva dros ki _ mcdari.

Tumca, zogjer ama Tu im debulebis WeSmariteba `icvleba~. es im SemTxvevaSi

xdeba, rodesac debuleba Seicavs cvlads. debuleba WeSmariti an mcdari iqneba

imisda mixedviT, Tu ras CavsvamT cvladis adgilas. magaliTad, mesame debuleba,

`daviT aRmaSenebeli mefobda ramdenime saukunis win~, mcdari iqneba, Tu `ramdenime~-s

nacvlad CavsvamT `xuTs~, magram is WeSmariti iqneba, Tu `ramdenime~-s `cxriT~

SevcvliT. es debuleba waagavs algebrul tolobas 2x = 6, romelic WeSmaritia, Tu x = 3, magram mcdaria yvela sxva SemTxvevaSi. debuleba SeiZleba iyos WeSmariti an mcdari ise, rom amis Sesaxeb aravin

icodes. magaliTad, debuleba, `dedamiwas sferos forma aqvs~, WeSmaritia, maSin,

rodesac is mravali saukunis ganmavlobaSi mcdari egonaT, xolo `dedamiwa

brtyelia~ _ mcdaria, maSin, rodesac mas mravali saukunis ganmavlobaSi

WeSmarit debulebad miiCnevdnen. SeiZleba isic ki iTqvas, rom esa Tu is

debuleba WeSmaritia an mcdaria maSinac ki, rodesac is sityvierad aravis

Camouyalibebia. magaliTad, `elva statikuri eleqtrobis ganmuxtvaa~, WeSmariti

iyo im epoqebSic, rodesac adamianebs warmodgena ar hqondaT statikuri

eleqtrobis Sesaxeb da amitom ar SeeZloT mocemuli debulebis Camoyalibeba.

ufro metic, es fraza WeSmariti iyo im drosac, rodesac saerTod ar

arsebobda vinme, vinc SeZlebda debulebaTa Camoyalibebas sityvieri formiT.

unda ganvasxvaoT orgvari viTareba: 1. rodesac esa Tu is debuleba

WeSmaritia, da 2. rodesac esa Tu is debuleba miCneulia WeSmaritad. pirvel

SemTxvevaSi debulebis WeSmariteba adamianze araa damokidebuli, xolo meore

SemTxvevaSi `WeSmaritebas~ ZiriTadad gansazRvravs adamianTa codnis moculoba

istoriis garkveul etapze.

9

19. ra mizans emsaxureba teqstis pirvel abzacSi warmodgenili sami debuleba?

(a) I da II debulebebi, WeSmaritebis TvalsazrisiT, msgavsi tipis debulebaTa

magaliTebia, III ki `WeSmaritebis~, rogorc arsebiTi saxelis,

sailustraciodaa moyvanili

(b) I da II debulebebi, WeSmaritebis TvalsazrisiT, urTierTsawinaaRmdego tipis

debulebaTa magaliTebia, III ki debulebaTa maxasiaTebeli Tvisebis

sailustraciodaa moyvanili

(g) samive debuleba mocemulia WeSmaritebis TvalsazrisiT gansxvavebuli tipis

debulebaTa sailustraciod, Tumca I da II erTi tipis magaliTebia, III ki _

sxva tipisa

(d) samive debuleba mocemulia WeSmaritebis TvalsazrisiT gansxvavebuli tipis

debulebaTa sailustraciod, Tumca II da III erTi tipis magaliTebia, I ki _

sxva tipisa

20. fraza, `SeiZleba gamoCndnen mecnierebi, romlebic daamtkiceben, rom...~, asaxavs imave Tvalsazriss, romelic gamoxatulia winadadebaSi:

(a) debulebis WeSmariteba Seesabameba adamianTa codnis moculobas istoriis

garkveul etapze

(b) debuleba SeiZleba iyos WeSmariti an mcdari ise, rom amis Sesaxeb aravin

icodes

(g) zogjer ama Tu im debulebis WeSmariteba icvleba

(d) debulebebi garkveuli drois ganmavlobaSi WeSmaritia, sxva dros ki _

mcdari

21. sityva `Tumca~, romliTac iwyeba II abzaci, gamoyenebulia:

(a) im azris uarsayofad, rom debulebis WeSmariteba-simcdare damokidebulia

sxvadasxva mecnieris mier mopovebul argumentebze

(b) im garemoebaze yuradRebis gasamaxvileblad, rom zogierTi debuleba

WeSmaritia mxolod konkretul dros an konkretul viTarebaSi

(g) im azris dasadastureblad, rom debulebis WeSmariteba-simcdare cvalebadia

da damokidebulia ama Tu im epoqaSi dagrovili codnis moculobaze

(d) im garemoebis xazgasasmelad, rom cvladis arseboba abaTilebs wina abzacebSi

mocemul msjelobas

22. qvemoT CamoTvlilTagan romeli formulirebaa marTebuli (upasuxeT II

abzacis mixedviT)?

(a) debulebis WeSmariteba ar icvleba im SemTxvevaSi, Tu is waagavs algebrul

tolobas

(b) debuleba WeSmaritia imisgan damoukideblad, Seicavs Tu ara is cvlads

(g) debulebis WeSmaritebas ar gansazRvravs masSi Semavali cvladis mniSvneloba

(d) debulebis WeSmariteba damokidebulia masSi Semavali cvladis mniSvnelobaze

10

23. romeli daskvna ar SeiZleba iyos marTebuli, III abzacis mixedviT?

(a) debuleba, romelSic marTebuladaa asaxuli esa Tu is movlena, WeSmaritia an

mcdari, imisda mixedviT, cnobilia Tu ara is adamianisTvis

(b) debuleba SeiZleba iyos WeSmariti, miuxedavad imisa, cnobilia Tu ara masSi

aRwerili movlena adamianisTvis

(g) debuleba, romelSic asaxulia ararsebuli movlena, SeiZleba iyos mcdari,

miuxedavad imisa, aRiareben Tu ara mas mcdarad mecnierebi

(d) debuleba WeSmaritia an mcdari imisda mixedviT, marTebulad asaxavs Tu ara

igi ama Tu im movlenas

24. ratom aris paradoqsuli avtoris gamonaTqvami: `esa Tu is debuleba

WeSmaritia an mcdaria maSinac ki, rodesac is sityvierad aravis Camouyalibebia~?

(a) debuleba WeSmaritia, Tu is zustad asaxavs realur faqts; im SemTxvevaSi,

rodesac debuleba sityvierad araa Camoyalibebuli, magram arsebobs Sesabamisi

faqti, is SeiZleba iyos WeSmariti

(b) debuleba mcdaria, Tu is zustad ar asaxavs realuri movlenis arss; xolo

im SemTxvevaSi, rodesac debuleba sityvieradaa Camoyalibebuli, is ver iqneba

mcdari

(g) debuleba sityvierad aRwers movlenas; Tu movlena sityvieradaa aRwerili, is

SeiZleba iyos WeSmariti, miuxedavad imisa, arsebobs Tu ara debuleba

realurad

(d) debuleba sityvierad Camoyalibebuli azria; Tu azri araa sityvierad

Camoyalibebuli, is ver iqneba debuleba, da Sesabamisad, ver iqneba WeSmariti

an mcdari

25. bolo abzacSi warmodgenilia ori gansxvavebuli viTareba. teqstis mixedviT, ra mimarTebaa maT Soris?

(a) WeSmariti debulebebis simravle moicavs yvela im debulebas, romelic

miCneulia WeSmaritad

(b) im debulebebis simravle, romlebic miCneulia WeSmaritad, moicavs WeSmarit

debulebaTa simravles

(g) zogierTi debuleba, romelic miCneulia WeSmaritad, SeiZleba iyos WeSmariti

(d) arc erTi debuleba, romelic araa WeSmariti, araa miCneuli WeSmaritad

11

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.

26. tye : toti

(a) qalaqi : bina

(b) maRaro : wiaRiseuli

(g) gemi : ialqani

(d) mdinare : Senakadi

27. iRvwis : naRvawi

(a) gvis : nagavi

(b) stkiva : natkeni

(g) xatavs : naxati

(d) arCevs : narCeni

28. fariseveli : siyalbe

(a) erTguli : ndoba

(b) gamWriaxi : mixvedra

(g) gulCvili : miteveba

(d) keTili : mofereba

29. gaisad : samomavlod

(a) amJamad : axlave

(b) SarSan : uwin

(g) mere : Semdgom

(d) guSin : zeg

30. buxari : nacari

(a) balaxi : Tiva

(b) naxati : feri

(g) saceri : qato

(d) zRva : talRa

12

31. eqsperimenti : kvlevis meTodi

(a) stimuli : reaqcia

(b) Teoria : hipoTeza

(g) warmosaxva : fantazia

(d) metyveleba : komunikacia

32. jungli : taiga

(a) naturmorti : portreti

(b) speqtakli : scenari

(g) musika : simfonia

(d) teqsti : sqolio

33. sazogadoeba : individi

(a) orkestri : mevioline

(b) fraqcia : lideri

(g) konsiliumi : eqimi

(d) Jiuri : konkursanti

13

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.

34. Cveni Tavazianoba xSirad _____ . magaliTad, _____ xolme Rirseul da uRirs adamianebs da amiT _____ maT. Tu CvenSi gaigoneT, rogor _____ ,

aucileblad dainteresdiT, vis winaaRmdeg aris _____ .

(a) moCvenebiTia / erTad aqeben / erTmaneTTan aTanabreben / ahyavT caSi qebiT

vinme / iribad mimarTuli es qeba (b) gulwrfelia / erTad aqeben / ganarCeven / gansjian vinmes / pirdapir

mimarTuli es Seuracxyofa

(g) moCvenebiTia / erTnairad kicxaven / erTmaneTTan aTanabreben / gansjian vinmes

/ iribad mimarTuli es Seuracxyofa

(d) gulwrfelia / erTnairad kicxaven / Seuracxyofen / ahyavT caSi qebiT vinme

/ pirdapir mimarTuli es qeba

35. Zalze _____ interesebi _____ pirovnebas, Tumca, metad _____ interesebi, rac interesTa daqsaqsulobaSi gadadis, _____ da romelime dargSi seriozul

specializacias.

(a) erTgvarovani / zRudavs / mravalferovani / xels uwyobs maT warmarTvas

erTi mimarTulebiT

(b) mravalferovani / amdidrebs da ganaviTarebs / erTgvarovani / xels uwyobs

mravalmxrivi codnis miRebas

(g) erTgvarovani / zRudavs da calmxrivs xdis / mravalferovani / xels uSlis

codnis gaRrmavebas

(d) mravalferovani / siRrmiseul xedvas uviTarebs / erTgvarovani / xels uSlis

maT warmarTvas erTi mimarTulebiT

36. adamianebi _____ , roca maT _____ , magram isini xSirad _____ , roca Tavad _____ .

(a) sasowarkveTilebas eZlevian / atyueben mtrebi an Ralatoben megobrebi /

kmayofilebas grZnoben / ityueben Tavs

(b) kmayofilebas grZnoben / ver atyueben mtrebi / kmayofilni arian / ityueben

Tavs

(g) sasowarkveTilebas eZlevian / atyueben megobrebi / ukmayofilebas grZnoben

maSinac / maT Ralatoben megobrebi

(d) kmayofilebas grZnoben / ver atyueben mtrebi an megobrebi /

sasowarkveTilebas eZlevian maSinac / atyueben mtrebs

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37. erT-erTi Sexedulebis Tanaxmad, bavSvebi, romlebic telefilmebs

sistematurad uyureben, sinamdviles aRiqvamen _____ filmebSi uCveneben. am

Tvalsazrisis _____ , eqsperimentulad _____ , rom bavSvebi _____ .

(a) imgvarad, rogoradac mas / sapirispirod / dadginda / ver asxvaveben

realursa da telefilmebSi asaxul sinamdviles

(b) imisgan gansxvavebulad, rasac / Sesabamisad / ar dadasturda / ver asxvaveben

realobas telefilmebSi nanaxisgan

(g) imisgan gansxvavebulad, rasac / Sesabamisad / ar dadasturda / ganasxvaveben

realursa da telefilmebSi asaxul sinamdviles

(d) imgvarad, rogoradac mas / sapirispirod / ar dadasturda / ganasxvaveben

realobas telefilmebSi nanaxisgan

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. xilis wvenebis mwarmoebeli firmis xelmZRvanelebma gadawyvites axali

produqciis gamoSveba. imis dasadgenad, Tu ori axali – Jolos da mayvlis – wvenidan romels mianiWebdnen upiratesobas axalgazrdebi, sadegustaciod moiwvies

studentTa jgufi. Jolos wvens maT sTavazobdnen viwroyeliani maRali WiqiT,

mayvlisas ki – farTopiriani dabali WiqiT. mowveul studentTa umravlesobam upiratesoba mayvlis wvens mianiWa. Sesabamisad, firmis xelmZRvanelebma ivaraudes,

rom mayvlis wvens ufro sasiamovno gemo hqonda, vidre _ Jolosas.

qvemoT CamoTvlilTagan romeli faqti ayenebs eWvqveS am varauds?

(a) Wiqa, romliTac studentebs mayvlis wvens sTavazobdnen, naklebi tevadobis

iyo, vidre Wiqa, romelSic Jolos wveni iyo

(b) farTopiriani dabali Wiqa ufro mosaxerxebeli iyo sadegustaciod, vidre _

viwroyeliani maRali Wiqa

(g) studentTa aRiarebiT, Jolos wvenis feri gacilebiT ufro momxibvleli iyo,

vidre _ mayvlisa

(d) Jolos wveni studentebs TavianTi bavSvobis sasiamovno epizodebs axsenebda,

rodesac mSoblebTan erTad qalaqgareT Jolos krefdnen

15

39. topazs ufro xSirad moipoveben, vidre almass. miuxedavad amisa, is ar aris yvelaze xSirad mopovebadi Zvirfasi qva. lalsa da firuzs erTnairi sixSiriT

moipoveben. amave dros cnobilia, rom zurmuxti ufro iSviaTia, vidre topazi,

xolo Zowi ufro iSviaTi, vidre _ almasi.

am Zvirfasi qvebidan romelia yvelaze iSviaTi?

(a) zurmuxti

(b) Zowi

(g) firuzi

(d) mocemuli informacia araa sakmarisi amis dasadgenad

40. luka: salome da me meaTeklaselebi varT.

_ salome, romel klasSi xar?

salome: meaTeSi.

lukasa da salomes mier warmoTqmuli winadadebebis qvemoT CamoTvlili

Sefasebebidan romelia SeuZlebeli?

(a) orive marTals ambobs

(b) luka marTals ambobs, salome _ ara

(g) luka tyuis, xolo salome marTals ambobs

(d) orive cruobs

41. mocemulia:

• yvela niangi qvewarmavalia

• nilosSi cxovroben qvewarmavlebi

maSasadame, nilosSi cxovroben niangebi.

es daskvna:

(a) gamomdinareobs erToblivad orive wanamZRvridan

(b) gamomdinareobs TiToeuli wanamZRvridan cal-calke

(g) gamomdinareobs mxolod erT-erTi wanamZRvridan

(d) ar gamomdinareobs mocemuli wanamZRvrebidan

16

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

zamTris moaxloebisas zomier da civ klimatur sartylebSi mobinadre

frinvelTa erTi nawili samxreTisken mieSureba. signals, romelic ubiZgebs

frinvelebs gadafrenisken, warmoadgens dRisa da Ramis xangrZlivobis cvlileba,

xolo frenis mimarTulebis SerCeva xdeba caze xilvadi orientirebis mixedviT.

migraciis periodSi momcro frinvelebi, rogorc wesi, RamiT frenen, dRisiT ki

sakvebs eZeben. didi frinvelebi dRisiT frenas amjobineben. momcro da didi

frinvelebi sxvadasxvagvari orientirebiT sargebloben.

Zneli iyo imis dadgena, Tu ra orientirebs iyeneben mimomfreni frinvelebi.

damkvirveblebi amCnevdnen mxolod maTi frenis mimarTulebas. germanelma mecnierma

gustav kramerma es problema gadaWra ramdenime eqsperimentis meSveobiT. man

SeZlo daesabuTebina, rom mze da biologiuri saaTi gansazRvravs frinvelTa

qcevas migraciis procesSi. mimomfreni frinvelebi kramerma Casxa did galiaSi,

romelic Ria cis qveS idga. Semodgomaze, rodesac dadga gadafrenis dro,

frinvelebs mousvenroba daetyoT. isini ganuwyvetliv frTxialebdnen. Rrublian

amindSi frinvelTa moZraobis mimarTulebis dadgena SeuZlebeli iyo, magram mzis

gamoCenisTanave isini cdilobdnen gafrenas migraciis maTTvis Cveuli

mimarTulebiT. Semdgom eqsperimentSi krameri galiis aRmosavleT mxares faravda

gaumWvirvale ekraniT

imgvarad, rom frinvelebs

mzis amosvla ver dae-

naxaT, sarkis meSveobiT ki

sxva mxridan mimarTavda

mzis sxivebs galiaze.

myisve icvleboda frenis

mimarTuleba.

mesame eqsperimentSi sinaTle-sibnelis xelovnurad Seqmnili ciklis

meSveobiT krameri eqvsi saaTiT gadaanacvlebda xolme frinvelTa Sinagan saaTs _

realuri droiT 13 saaTze frinvelTa biologiuri saaTis mixedviT 7 saaTi

(ganTiadi) iyo. amis Sedegad frinvelebi `gaTenebisas~ (realuri droiT 13 sT-ze) cdilobdnen gafreniliyvnen im mimarTulebiT, romelic maTi WeSmariti kursidan

90 gradusiT* iyo gadaxrili. sxvagvari situaciaa im frinvelebTan, romlebic RamiT frenen. rogorc

Cans, isini orientirebad, ZiriTadad, varskvlavebs iyeneben. Ramis ganmavlobaSi ki

caze varskvlavTa xiluli mdebareoba icvleba. amitom frinvelTa orientiri

mxolod polaruli varskvlavia, romelic, sxva varskvlavebisgan gansxvavebiT,

samyaros CrdiloeT polusis** garSemo Zalze mcire zomis wreze moZraobs.

ismis kiTxva: warmoadgens Tu ara mzis mixedviT orientaciis unari

daswavlis Sedegs, an iqneb is memkvidreobiT gadaicema? werosa da ixvinjas

axalgamoCekil bartyebs rgolebi Seabes da Semodgomamde galiaSi hyavdaT, sanam

mozrdili frinvelebi Tbil qveynebSi ar gafrindnen. amis Semdeg isini galiidan

gamouSves. momdevno gazafxulze rgolSebmuli frinvelebi daubrundnen

mSobliur adgilebs, rac adasturebs imas, rom orientirebis unari genetikur

meqanizmebs emyareba.

* dedamiwa 24 sT-Si sakuTari RerZis garSemo 360 gradusiT Semobrundeba, 6 sT-Si ki _ 90 gradusiT ** samyaros polusi _ cis wertili, romliskenac mimarTulia dedamiwis RerZi

17

42. momcro da didi frinvelebis migraciis TaviseburebaTa Sedarebis safuZvelze irkveva, rom:

(a) didi frinvelebisgan gansxvavebiT, momcro frinvelebs RamiT frena sCveviaT,

Tumca, maT msgavsad, isinic caze xilvadi orientirebiT sargebloben

(b) momcro frinvelebisgan gansxvavebiT, didi frinvelebi dRisiT frenen da

amitom sxvadasxvaa is signalic, romelic maT gadafrenisken ubiZgebs

(g) didi frinvelebisgan gansxvavebiT, momcro frinvelebi RamiT frenen da,

Sesabamisad, ar sargebloben caze xilvadi orientirebiT

(d) momcro frinvelebi, did frinvelebTan SedarebiT, gacilebiT met sakvebs

saWiroeben, ris gamoc dRis ganmavlobaSi ar migrireben da sakvebs moipoveben

43. CamoTvlilTagan romel or winadadebas Soris aris mizezSedegobrivi

mimarTeba (upasuxeT I abzacis mixedviT)?

(a) zomier da civ klimatur sartylebSi mobinadre frinvelTa erTi nawili

samxreTisken mieSureba _ signals, romelic ubiZgebs frinvelebs gadafrenisken,

warmoadgens dRisa da Ramis xangrZlivobis cvlileba

(b) migraciis periodSi momcro frinvelebi, rogorc wesi, RamiT frenen, dRisiT

ki sakvebs eZeben _ didi frinvelebi dRisiT frenas amjobineben

(g) zamTris moaxloebisas zomier da civ klimatur sartylebSi mobinadre

frinvelTa erTi nawili samxreTisken mieSureba _ frenis mimarTulebis

SerCeva xdeba caze xilvadi orientirebis mixedviT

(d) migraciis periodSi momcro frinvelebi, rogorc wesi, RamiT frenen, didi

frinvelebi ki dRisiT frenas amjobineben _ isini sxvadasxva orientirebiT

sargebloben

44. II abzacSi naxsenebi `problemis gadaWra~ gulisxmobs im sakiTxis garkvevas, Tu:

(a) ratom ver gansazRvraven frinvelebi frenis mimarTulebas Rrublian amindSi

(b) romeli faqtorebi asrulebs gadamwyvet rols frenis mimarTulebis arCevisas

(g) ra ganapirobebs frinvelebis mousvenrobas gadafrenis drois moaxloebisas

(d) ra rols asrulebs mze frinvelTa biologiuri saaTis amoqmedebisas

18

45. ratom Seicvala frinvelTa frenis mimarTuleba galiasTan ekranisa da sarkis damontaJebis Semdeg?

(a) eqsperimentul pirobebSi frinvelebisTvis mze, aRmosavleTis nacvlad, samxreT-

aRmosavleTidan amovida, da vinaidan maTi frenis mimarTuleba amomavali

mzidan 90 gradusiTaa gadaxrili, samxreTis nacvlad, isini samxreT-dasavleTiT

gafrindnen

(b) gaumWvirvale ekrani nawilobriv faravda cas, ris gamoc frinvelebi mzis

amosvlas ver xedavdnen, da vinaidan mze maTTvis ZiriTadi orientiria,

frinvelebma ver SeZles, ganesazRvraT frenis mimarTuleba

(g) sarkeSi asaxuli mzis sxivebi galias imave kuTxiT ecemoda, rogorc es mzis

amosvlis bunebriv pirobebSi xdeba, amis gamo eqsperimentul pirobebSi

arCeuli frenis mimarTuleba bunebrivi kursidan 90 gradusiT gadaxrili

aRmoCnda

(d) frinvelebma biologiuri saaTis meSveobiT gansazRvres, rom mzis amosvlis

mimarTuleba Secvlili iyo, da amis gamo, samxreTis nacvlad, samxreT-

dasavleTiT gafrindnen

46. ra ZiriTadi daskvna SeiZleba gakeTdes krameris III eqsperimentis Sedegebis safuZvelze?

(a) sinaTle-sibnelis monacvleobis gansxvavebuli cikli arsebiT gavlenas axdens

frinvelTa biologiur saaTze

(b) frinvelebis frenis mimarTuleba damokidebulia maT biologiur saaTze da

misi gadanacvlebisas mcirdeba mzis, rogorc ZiriTadi orientiris, roli

(g) frinvelTa biologiur saaTs arsebiTi mniSvneloba eniWeba frenis

mimarTulebis gansazRvraSi, vinaidan frinvelTa orientiri ganTiadisas caze

mzis adgilmdebareobaa

(d) migrirebas frinvelebi iwyeben ganTiadze, rodesac sruli Tanxvedraa maT

biologiur saaTsa da realur dros Soris

47. ramdeni gradusiT iqneboda gadaxrili WeSmariti kursidan frinvelTa frenis mimarTuleba da, Sesabamisad, ra mimarTulebiT gafrindebodnen isini, Tu maT

biologiur saaTs 9 saaTiT gadaunacvlebdnen (upasuxeT III abzacis mixedviT)?

(a) 180 gradusiT; dasavleTiT

(b) 135 gradusiT; Crdilo-dasavleTiT

(g) 180 gradusiT; samxreT-aRmosavleTiT

(d) 135 gradusiT; samxreTiT

19

48. ra mimarTebaa krameris mier Catarebul sam eqsperiments Soris?

(a) I eqsperimentSi warmoCenilia ori faqtori, romlebic zemoqmedebs frinvelTa

qcevaze, TiToeuli maTganis mniSvneloba ki dazustebulia II da III

eqsperimentebSi

(b) I eqsperimentSi dadgenilia frinvelTa qcevis zogadi kanonzomiereba, II da III

eqsperimentebSi ki _ qcevis konkretuli maxasiaTeblebi

(g) I eqsperimentSi naCvenebia frinvelTa qcevis ramdenime forma, II da III

eqsperimentebSi ki gamovlenilia maTi ZiriTadi principebi

(d) I eqsperimentSi gamovlenilia frinvelTa qcevaze weliwadis garkveuli drois

zemoqmedeba, II da III eqsperimentebSi ki dazustebulia am zemoqmedebis

mniSvneloba

49. ratom irCeven orientirad momcro frinvelebi polarul varskvlavs?

(a) RamiT caze varskvlavebis, da, maT Soris, polaruli varskvlavis xiluli

mdebareoba icvleba

(b) polaruli varskvlavi samyaros CrdiloeT polusis garSemo moZraobs

(g) polaruli varskvlavis xiluli mdebareoba umniSvnelod icvleba da is

sakmarisad zustad miuTiTebs CrdiloeTis mimarTulebas

(d) polaruli varskvlavi cis im wertilze mdebareobs, romliskenac dedamiwis

RerZia mimarTuli

50. romeli ZiriTadi eqsperimentuli pirobis dacvis safuZvelze daaskvnes

mecnierebma, rom orientirebis unari genetikuradaa ganpirobebuli?

(a) axalgamoCekil bartyebs rgolebi Seabes, ramac SesaZlebeli gaxada maTi garCeva

im frinvelebisgan, romlebic samxreTisken gafrindnen da Semdeg Sin

dabrundnen

(b) axalgamoCekil bartyebs galiaSi zrdidnen, ris gamoc maT ar SeeZloT caze

mzis mdebareobis gansazRvra; miuxedavad amisa, galiidan gamoSvebisas maT

sworad airCies frenis mimarTuleba

(g) axalgamoCekil bartyebs mozrdili frinvelebisgan izolirebulad amyofebdnen,

raTa isini frenis mimarTulebis damoukideblad gansazRvris unars

dauflebodnen

(d) axalgamoCekili bartyebi mas Semdeg gamouSves galiidan, rac mozrdili

frinvelebi samxreTisken gafrindnen, da amis gamo maT ar hqondaT mozrdili

frinvelebisTvis mibaZvis SesaZlebloba

20

Savi samuSaosaTvis

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. Semoklebuli gamravlebis formulebi: (a+b)2 = a2 + 2ab + b2;

(a - b)2 = a2 – 2ab + b2;

(a + b)(a – b) = a2 – b2 . 8. naxazze kuTxe SeiZleba kuTxis gverdebs Soris

Casmuli patara rkaliT

iyos moniSnuli, marTi

kuTxe ki _ patara

kvadratiT.

Canaweri: ∠A aRniSnavs A kuTxis sidides.

9. paraleluri wrfeebi: • ori paraleluri

wrfis mesame wrfiT

gadakveTisas Siga jvaredina

kuTxeebi tolia: α = β.

10. samkuTxedi: • samkuTxedis kuTxeebis sidideTa

jami 180°-is tolia. • piTagoras Teorema:

marTkuTxa samkuTxedis

hipotenuzis sigrZis

kvadrati tolia kaTetebis

sigrZeTa kvadratebis jamis:

AB2 = AC2 + BC2 (ix. naxazi).

• samkuTxedis farTobi

samkuTxedis gverdis sigrZisa da Sesabamisi

simaRlis namravlis naxevris tolia .

11. oTxkuTxedi: • oTxkuTxedis kuTxeebis sidideTa

jamia 360°. • marTkuTxedis farTobi misi sigrZisa

da siganis namravlis tolia: S = ab. • paralelogramis farTobi misi

gverdis sigrZisa da am gverdis Sesabamisi

simaRlis namravlis tolia: S = ah.

12. wre, wrewiri: • wrewiris sigrZe L misi

radiusis mixedviT gamoiTvleba

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

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

13. 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.

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

53.

MON samkuTxedis erTi wvero

wrewiris centrs emTxveva, xolo

danarCeni wveroebi am wrewirze

mdebareobs (ix. naxazi). °=∠ 70OMN .

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

54. cnobilia, rom 0>− yx

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

55.

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

2·5,37,8 − 4,10

83 49

sigrZegverdisOMsigrZegverdisMN

x + y 0

115

31 ·2

117

32 ·1

23

56.

badis yvela ujredi

erTmaneTis tolia.

gamuqebuli A mra-valkuTxedisa da B kvadratis yvela wvero

badis kvanZebs emTxveva.

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

57.

a umciresi naturaluri ricxvia, romelic unaSTod iyofa 3-ze da 5-ze; b umciresi naturaluri ricxvia, romelic unaSTod iyofa 2-ze, 4-ze da 6-ze.

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

58.

wriul diagramaze warmodgenilia, qalaqis mcxov-

rebTa ramden procents Seadgenen litveli, rusi

Tu sxva erovnebis moqalaqeebi. svetovan diagramaze

ki miTiTebulia imave qalaqis mxolod litvel

moqalaqeTa raodenoba.

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

amocanebi

59. 9 milion 600 aTasze 4-jer naklebia: (a) 2 milion 150 aTasi (b) 2 milion 200 aTasi (g) 2 milion 300 aTasi (d) 2 milion 400 aTasi (e) 2 milion 600 aTasi

A-s farTobi B-s farTobi

ba

moqalaqeTa saerTo

raodenoba 140 aTasi

24

60. ricxvTa RerZze moniSnulia M, N, K da D wertilebi. M da D wertilebis koordinatebi miTiTebulia naxazze. K wertili MD monakveTis Suawertilia, N wertili ki _ MK monakveTisa. N wertilis koordinatia: (a) 49 (b) 50 (g) 51 (d) 52 (e) 53

61. c ricxvi a ricxvze b-Ti metia. a + c = (a) a + b (b) a – b (g) a + 2b (d) 2a + b (e) 2a + 2b

62. dazianebuli kalkulatoris Rilakebidan mxolod `3~-ianis, `4~-ianis da

`gamravlebis~ Sesabamisi Rilakebi muSaobs.

qvemoT CamoTvlilTagan romeli ricxvis miRebaa SeuZlebeli am kalkulatoris

ekranze? (a) 9 (b) 12 (g) 16 (d) 24 (e) 27

monacemTa analizi

arasamTavrobo organizaciam Seamowma ramdenime adgilobrivi da ucxouri

firmis mier warmoebuli xorcisa da Tevzis konservebi imis gasarkvevad, Tu

ramdenad Seesabameba isini normiT gaTvaliswinebul moTxovnebs.

cxrilSi mocemulia, rogori unda iyos normiT TiToeuli firmis mier

warmoebuli konservis cximianoba da energetikuli Rirebuleba, ra maCveneblebia

miTiTebuli etiketze da risi tolia isini faqtobrivad. aseve, mocemulia

konservis faqtobrivi wona da wona etiketis mixedviT.

cximianoba % energetik. Rireb. (kkal/100gr) produqciis wona (gr) firmis

dasaxeleba normiT (aranakleb)

etiketze faqtobr. normiT etiketze faqtobr. etiketze faqtobr.

guri 56 70 66 170-233 302 180 325 325 kumisi 56 56 48 170-233 213 213 325 340

adgi-

lob-

rivi faravani 25 36 36 145-150 145 140 240 239 salio 56 68 64 170-233 220 214 525 530

balatoni 25 30 38 145-150 180 183 240 245

ucxo-

uri keni 56 58 52 83-103 75 83 325 300

25

cxrilis mixedviT upasuxeT Semdeg oTx SekiTxvas:

63. ramdeniT naklebia firma `salios~ mier warmoebuli konservis cximianobis faqtobrivi maCvenebeli etiketze miTiTebul maCvenebelTan SedarebiT? (a) 1-iT (b) 4-iT (g) 6-iT (d) 9-iT (e) 12-iT 64. romeli firmis mier warmoebuli konservis energetikuli Rirebulebis

faqtobrivi maCvenebeli gansxvavdeba yvelaze metad etiketze miTiTebulisgan? (a) keni

(b) faravani

(g) salio

(d) balatoni

(e) guri

65. dasaSvebia, rom konservis faqtobrivi wona maqsimum 3%-iT gansxvavdebodes etiketze miTiTebuli wonisgan. romelia is firmebi, romelTa mier warmoebuli

konservi ar akmayofilebs am moTxovnas?

(a) `kumisi~ da `keni~

(b) `kumisi~ da `balatoni~

(g) `keni~ da `faravani~

(d) `salio~ da `guri~

(e) `balatoni~ da `guri~ 66. qvemoT CamoTvlilTagan romeli winadadebaa marTebuli?

(a) adgilobrivi firmebis mier warmoebuli konservis cximianobis faqtobrivi

maCvenebeli Seesabameba normas, ucxourebisa ki _ ara

(b) ucxouri firmebis mier warmoebuli konservis cximianobis faqtobrivi

maCvenebeli Seesabameba normas, adgilobrivebisa ki _ ara

(g) zogierTi adgilobrivi firmis mier warmoebuli konservis energetikuli

Rirebulebis maCvenebeli normis farglebSi iyo, magram is arc erT

SemTxvevaSi ar emTxveoda etiketze miTiTebul maCvenebels

(d) zogierTi ucxouri firmis mier warmoebuli konservis energetikuli

Rirebulebis maCvenebeli normis farglebSi iyo, magram is arc erT

SemTxvevaSi ar emTxveoda etiketze miTiTebul maCvenebels

(e) adgilobrivi firmebis mier warmoebuli konservis faqtobrivi wona yovel-

Tvis naklebi iyo etiketze miTiTebul wonaze, ucxourebisa ki _ yovelTvis

meti

26

amocanebi

67. ramdeniT Semcirdeba ricxvi 88888, Tu mis CanawerSi erT 8-ians wavSliT? (a) 8-iT (b) 80-iT (g) 800-iT (d) 8000-iT (e) 80000-iT

68. ABCD paralelogramis AC diagonali AB gverdis tolia. es diagonali CD gverdTan 48°-ian kuTxes qmnis (ix. naxazi). ramdeni gradusis tolia am paralelogramis

B kuTxis sidide? (a) 64° (b) 66° (g) 68° (d) 72° (e) 75°

69. mimdevroba 20 wevrisagan Sedgeba. misi pirveli wevria 123, xolo yoveli momdevno wevri wina wevrze 25-iT metia. am mimdevrobis sul ramdeni wevria 280-ze naklebi?

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

70. xorblis dafqvis Sedegad miRebuli fqvilis wona dafquli xorblis wonis 80%-ia. ramdeni tona xorbali unda davfqvaT, rom 24 tona fqvili miviRoT? (a) 26 (b) 28 (g) 30 (d) 32 (e) 34

71. sabavSvo baRisTvis 15 velosipedi SeiZines. maTgan zogierTi orTvliani iyo, danarCeni _ samTvliani. yvela velosipeds erTad 37 borbali hqonda. SeZenili velosipedebidan ramdeni iyo orTvliani?

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

27

72. or wrewirs mxolod erTi saerTo wertili aqvs (ix. naxazi). erT-erTi wrewiris radiusis sigrZea 18 sm. udidesi monakveTis sigrZe, romlis erTi bolo erT

wrewirzea, meore bolo ki _ meoreze, 48 sm-ia. risi tolia meore wrewiris radiusis sigrZe?

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

73. or Taroze sul 48 wigni awyvia. Tu pirveli Tarodan meoreze gadavitanT 9 wigns, maSin Taroebze wignebis raodenoba gaTanabrdeba.

ramdeni wigni awyvia pirvel Taroze? (a) 33 (b) 35 (g) 37 (d) 39 (e) 41

74. marTkuTxedi, romlis sigrZea 320 sm, xolo sigane _ 150 sm, dayofilia tol marTkuTxedebad, romelTa sigrZea 40 sm, xolo sigane _ 25 sm. sul ramdeni aseTi marTkuTxedi miiReba dayofis Sedegad?

(a) 14 (b) 20 (g) 45 (d) 48 (e) 65

75. carieli auzi mxolod erTi miliT 6 sT-Si ivseba, mxolod meoriT _ x sT-Si, xolo orive miliT _ 4 sT-Si. qvemoT CamoTvlilTagan romeli tolobaa marTebuli?

(a) 146 =− xx

(b) 146 =− xx

(g) xx 61

41

=

(d) x1

61

41 =+

(e) x1

61

41 =−

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.

3 kg msxali 4,2 lari Rirs.

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

77.

erTi saerTo wertilis mqone

ori toli wre gadakveTilia

mesame wriT, romlis radiusis

sigrZe metia TiToeuli wris

radiusis sigrZeze (ix. naxazi).

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

78.

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

79.

wris radiusis sigrZe 5 santimetria.

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

80.

kabis fasis 73 nawili pijakis fasis

85 nawilis

tolia.

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

13 lari 10 kg msxlis Rirebuleba

wreebis gamuqebul

nawilTa farTobebis jami

gaumuqebeli wris

farTobi

22 6162 − 22 1922 −

am wris farTobi 100 kv. sm

kabis fasi pijakis fasi

29

81.

demokratiul partias arCevnebze xma misca amomrCevel

mamakacTa saerTo raodenobis 30%-ma da amomrCevel

qalTa saerTo raodenobis 40%-ma. sul am partias

xma misca amomrCevel mamakacTa da qalTa saerTo

raodenobis n %-ma.

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

82.

wrewirze moniSnulia 1 wiTeli wertili da 100 lurji wertili.

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

amocanebi

83. TviTmfrinavis mgzavrTa 25% ucxoeli iyo, xolo ucxoelTa 20% _ germa-

neli. ramdeni mgzavri yofila TviTmfrinavSi, Tu maTgan mxolod 8 iyo

germaneli?

(a) 120 (b) 132 (g) 160 (d) 176 (e) 192

84. erToblivi firmis dasafuZneblad daTom 27 aTasi lari Seitana bankSi, ninom _ 18 aTasi lari. firmis mogebas isini TavianTi Senatanebis proporciulad

inawileben. CamoTvlilTagan romeli SeiZleba iyos firmis mogebis ganawilebis

Sedegad daTosa da ninos mier miRebuli Tanxebi? (a) 5 aTasi lari da 3 aTasi lari (b) 6 aTasi lari da 4 aTasi lari (g) 8 aTasi lari da 6 aTasi lari (d) 9 aTasi lari da 8 aTasi lari (e) 15 aTasi lari da 6 aTasi lari

im mravalkuTxedebis

raodenoba, romelTa

wveroebi lurji

wertilebia

im mravalkuTxedebis rao-

denoba, romelTa erTi

wvero wiTeli wertilia,

danarCeni _ lurji

n 50 %

30

85. marTkuTxedis ori mopirdapire gverdi dayofilia or tol nawilad da dayofis wertilebi monakveTebiTaa

SeerTebuli marTkuTxedis wveroebTan. miRebuli

oTxkuTxedi da ori samkuTxedi gamuqebulia (ix. naxazi).

=farTobi ismarTkuTxed

farTobi nawilisi gamuqebulismarTkuTxed

(a) 73

(b) 32

(g) 52

(d) 31

(e) 21

86. Caifiqres ori ricxvi, pirveli _ zeda striqonidan, meore _ qveda striqonidan.

maqsimum risi toli SeiZleba iyos

Cafiqrebuli ricxvebis jami? (a) –20 (b) –6 5

3

(g) –11 (d) –1 5

2

(e) –1

monacemTa analizi

diagramaze mocemulia, erT-erT ucxour universitetSi Caricxul pirvel-

kursel gogonaTa ramden procents da vaJTa ramden procents daeniSna stipendia

1995-2000 wlebSi.

–12 – 53 – 6 – 5

4

– 53 –8 – 5

2 –5

31

diagramis mixedviT upasuxeT Semdeg oTx SekiTxvas:

87. romel wels daeniSna stipendia pirvelkursel vaJTa 52%-s? (a) 1996 (b) 1997 (g) 1998 (d) 1999 (e) 2000

88. universitetSi Caricxul pirvelkursel gogonaTa ramden procents ar

daeniSna stipendia 2000 wels? (a) 34 (b) 42 (g) 44 (d) 46 (e) 54

89. cnobilia, rom 1998 wels universitetSi Caricxul pirvelkurselTa Soris vaJebis raodenoba 2-jer meti iyo gogonebis raodenobaze. ramdenjer meti iyo am wels stipendiat vaJTa raodenoba stipendiat gogonaTa raodenobaze?

(a) 4,8-jer (b) 2,4-jer (g) 2,2-jer (d) 2-jer (e) 1,6-jer

90. qvemoT CamoTvlilTagan romelia marTebuli, diagramis mixedviT?

(a) yovel wels universitetSi Caricxul pirvelkursel gogonaTa naxevarze

mets stipendia eniSneboda

(b) yovel wels universitetSi Caricxul pirvelkursel vaJTa naxevarze mets

stipendia eniSneboda

(g) universitetSi Caricxul pirvelkursel vaJTa Soris stipendiatTa

procentuli wili yovelwliurad matulobda

(d) universitetSi Caricxul pirvelkursel gogonaTa Soris stipendiatTa

procentuli wili yovelwliurad matulobda

(e) universitetSi Caricxul pirvelkursel gogonaTa Soris stipendiatTa

procentuli wili yovel wels ufro meti iyo, vidre Sesabamisi wili _

vaJTa Soris

32

amocanebi

91. maRaziaSi mxolod audio- da videokasetebi iyideboda. audiokasetebis rao-denoba kasetebis saerTo raodenobis 4

3 nawils Seadgenda. dRis bolos audio-

kasetebis raodenoba 3-jer naklebi gaxda, videokasetebis raodenoba ki ar

Secvlila. kasetebis saerTo raodenobis ramdeni procenti iqneba audiokasetebis

raodenoba dRis bolos? (a) 20%

(b) 35%

(g) 50%

(d) 60%

(e) 75%

92. erTi kvadratis gverdis sigrZea 4 sm, meorisa _ 3 sm. am ori kvadratis midgmiT miRebuli eqvskuTxedi diagonaliT gayofilia or nawilad, romelTagan erTi _

gamuqebulia (ix. naxazi). ramdeni kvadratuli santimetria

gamuqebuli nawilis farTobi? (a) 7 sm2

(b) 9 sm2

(g) 11 sm2

(d) 12 sm2

(e) 14 sm2

93. nebismieri x ricxvisTvis ∗x ganvsazRvroT tolobiT: 1

22+−∗ =

xxx . risi

tolia **2*0 ⎟

⎠⎞⎜

⎝⎛ + ?

(a) 54

(b) 52

(g) 0 (d) 5

2−

(e) 54−

33

94. erT-erTi tomis xalxi mxolod 3 bgeras iyenebs _ 2 xmovansa da 1 Tan-xmovans. TiToeuli sityva mxolod or, erTmaneTisgan gansxvavebul bgeras Seicavs.

maqsimum ramden gansxvavebul sityvas SeiZleba iyenebdes am tomis xalxi? (a) 5 (b) 6 (g) 7 (d) 8 (e) 9

95. erTi kubis waxnagis farTobi 9 -jer metia meore kubis waxnagis farTobze. ramdenjer metia pirveli kubis moculoba meore kubis moculobaze?

(a) 3-jer

(b) 9-jer

(g) 18-jer

(d) 27-jer

(e) 81-jer

96. n naturaluri ricxvia. (n + 2)-is 5-ze gayofisas miRebuli naSTia 4. risi toli iqneba (n – 1)-is 5-ze gayofisas miRebuli naSTi?

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

97. marTkuTxa paralelepipedis formis gamWvirvale yuTi TokiTaa Sekruli (ix. naxazi).

CamoTvlilTagan ra sigrZis SeiZleba iyos es

Toki, Tu misi im nawilis sigrZe, romelic

kvanZisTvisaa saWiro, araa naklebi 15 sm-ze? (a) 160 sm (b) 195 sm (g) 240 sm (d) 245 sm (e) 260 sm

34

98. Tu b ricxvs misive 20%-iT gavadidebT, miviRebT a ricxvs. =ab

(a) 65

(b) 54

(g) 43

(d) 32

(e) 51

99. mosapirkeTebeli iyo marTkuTxedis formis auzis fskeri. 4 saaTis muSaobis Semdeg mosapirkeTebeli darCa fskeris nawili, romelsac aseve marTkuTxedis

forma hqonda da romlis sigrZe 3-jer naklebi iyo fskeris sigrZeze, siganec 3-jer naklebi _ fskeris siganeze. ramdeni saaTia saWiro auzis fskeris darCenili nawilis mosapirkeTeblad, Tu muSaobas imave tempiT gaagrZeleben?

(a) 0,5 (b) 1 (g) 1,5 (d) 2 (e) 2,5

100. ricxvTa sasruli mimdevrobis gabnevis maCvenebeli vuwodoT am mimdevrobis wevrTa Soris udidesisa da umciresis sxvaobis mniSvnelobas. magaliTad, 8, 0, 1, –4, 9, 2 mimdevrobis gabnevis maCvenebelia 9 – (– 4) = 13. mocemulia ricxvTa sasruli mimdevroba, romlis luwnomrian wevrTagan

Sedgenili mimdevrobis gabnevis maCvenebeli 18-is tolia, xolo kentnomrian

wevrTagan Sedgenili mimdevrobisa 10-is tolia. qvemoT CamoTvlilTagan romlis toli SeiZleba iyos mocemuli mimdevrobis gabnevis maCvenebeli?

(a) –8 (b) 3 (g) 9 (d) 12 (e) 21