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

20020020020020088888

IVIVIVIVIV

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. dedamiwa : globusi (a) musikaluri bgera : melodia

(b) adamianis saxe : portreti

(g) istoriuli movlena : memoriali

(d) gakveTilebis ganrigi : dRiuri

2. Zili : gaRviZeba (a) qari : foTolcvena

(b) wvima : gamodareba

(g) quxili : gaelveba

(d) Wknoba : ayvaveba

3. lursmani : lursmuli damwerloba (a) jvari : gzajvaredini

(b) frTa : TviTmfrinavi

(g) fskeri : ufskruli

(d) daba : udabno

4. metyveleba : intonacia (a) aveji : savarZeli

(b) solo : dueti

(g) xili : aromati

(d) gakveTili : niSani

5. cxeni : aRviri (a) vertmfreni : propeleri

(b) orTqlmavali : orTqli

(g) TviTmfrinavi : saWe

(d) gemi : anZa

3

6. brZola : dueli (a) mitingi : demonstracia

(b) msjeloba : ganxilva

(g) interviu : dialogi

(d) Sexvedra : paemani

7. kvercxi : qaTami (a) wyali : Rrubeli

(b) miwa : talaxi

(g) cecxli : nacari

(d) haeri : qari

8. arqiteqtori : inJineri (a) sponsori : mecenati

(b) prodiuseri : menejeri

(g) kompozitori : diriJori

(d) gamomcemeli : redaqtori

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. moda yovelTvis gulisxmobs damkvirvebels, gareSe Tvals. auditorias ki ar unda _____ , aramed unda _____ moda. _____ is _____ .

(a) aRaSfoTebdes / moswondes / mxolod aRSfoTebuli publikis pirobebSi

asrulebs / Tavis funqcias

(b) aRaSfoTebdes / moswondes / dadebiTad ganwyobili publikis pirobebSi /

kargavs Tavis mniSvnelobas

(g) moswondes / aRaSfoTebdes / mxolod dadebiTad ganwyobili publikisTvis

asrulebs / Tavis funqcias

(d) moswondes / aRaSfoTebdes / aRSfoTebuli publikis gareSe / kargavs Tavis

mniSvnelobas

4

10. teqnikis miRwevebi aRiqmeba, rogorc _____ moRvaweobis Sedegi. amitomaa, rom avtomobilis markas imaxsovreben _____ mixedviT, _____ ferweruli tilo

_____ misi avtoris saxelTan.

(a) cnobil pirovnebaTa / firmisa da modelis / maSin, rodesac / yovelTvis

asocirdeba

(b) anonimur pirovnebaTa / firmisa da modelis / maSin, rodesac / yovelTvis

asocirdeba

(g) cnobil pirovnebaTa / inJiner-gamomgoneblis saxelis / da, analogiurad, /

yovelTvis rodi asocirdeba

(d) anonimur pirovnebaTa / inJiner-gamomgoneblis saxelis / da, analogiurad, /

yovelTvis rodi asocirdeba

11. specialur samecniero literaturaSi arsebobs azrTa sxvadasxvaoba miTis, rogorc istoriuli wyaros gamoyenebis Sesaxeb, _____ am ideis _____ ki

_____ imas, rom, Tu yovelTvis ara, zogjer mainc zepirsityvieri eposi _____ .

(a) Tumca, / momxrenic / aRiareben / inaxavs mogonebas raRac mniSvnelovani,

realurad ganxorcielebuli movlenis Sesaxeb

(b) ris gamoc / momxrenic / ver uaryofen / avlens realobis miTologizebis

tendencias

(g) Tumca, / mowinaaRmdegenic / ver uaryofen / inaxavs mogonebas raRac

mniSvnelovani, realurad ganxorcielebuli movlenis Sesaxeb

(d) ris gamoc / mowinaaRmdegenic / aRiareben / avlens realobis miTologizebis

tendencias

12. rac unda gasakviri iyos, am eqsperimentSi cdispirebi _____ jgufur zegavlenas, aramed _____ jgufis wevrTa _____ .

(a) ara mxolod ewinaaRmdegebodnen / ar eridebodnen / zemoqmedebisTvis

winaaRmdegobis gawevas

(b) araTu ar emorCilebodnen / ar eridebodnen / mxridan uaryofiTi

damokidebulebis Secvlas

(g) araTu ar ewinaaRmdegebodnen / cdilobdnen / azris ignorirebas

(d) ara mxolod emorCilebodnen / cdilobdnen / mxridan dadebiTi Sefasebis

damsaxurebas

5

13. hegelma istoria ganixila, rogorc _____ da ara, rogorc _____ yoveli avtori, romelic istoriaSi _____ xedavs da ara mxolod _____ , pirdapir an

arapirdapir _____ hegelis Teorias.

(a) azriani procesi / faqtebis grova. Sesabamisad, / kanonzomier ganviTarebas /

SemTxveviTobas an wrebrunvas / eyrdnoba

(b) faqtebis grova / azriani procesi. amitom / kanonzomier ganviTarebas /

SemTxveviTobas an wrebrunvas / eyrdnoba

(g) azriani procesi / faqtebis grova, Tumca, / SemTxveviTobas an wrebrunvas /

kanonzomier ganviTarebas / upirispirdeba

(d) faqtebis grova / azriani procesi. amitom / SemTxveviTobas an wrebrunvas /

kanonzomier ganviTarebas / upirispirdeba

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. oTaxis sam kedelze or-ori naxati kidia. TiToeuli naxati Sesrulebulia akvareliT, guaSiT an pasteliT.

• pirvel kedelze kidia erTi saxis, xolo danarCen orze _ sxvadasxva saxis

saRebavebiT Sesrulebuli naxatebi

• meore kedelze arc erTi naxati araa Sesrulebuli akvareliT

• mesame kedelze erTi naxati pasteliTaa Sesrulebuli

qvemoT CamoTvlilTagan ama Tu im saRebaviT Sesrulebuli naxatebis ganawilebis

romeli varianti akmayofilebs am pirobebs?

I kedelze II kedelze III kedelze

(a) pasteliT, pasteliT akvareliT, pasteliT guaSiT, pasteliT

(b) pasteliT, akvareliT pasteliT, akvareliT akvareliT, akvareliT

(g) guaSiT, guaSiT guaSiT, pasteliT akvareliT, guaSiT

(d) akvareliT, akvareliT pasteliT, guaSiT pasteliT, guaSiT

6

15. axalgazrda eqimma SeniSna, rom A da N pacientTagan, romlebsac erTi da igive daavadeba awuxebdaT da erTi da igive medikamentebi hqondaT daniSnuli, A gacilebiT ufro adre gamojanmrTelda, vidre _ N. gamojanmrTelebis

gansxvavebuli tempi eqimma imiT axsna, rom A pacienti ufro mkacrad icavda mkurnalobis reJims, vidre _ N pacienti.

qvemoT CamoTvlilTagan romeli ayenebs eWvqveS eqimis am mosazrebas?

(a) A pacients ufro Zlieri imunuri sistema hqonda, vidre _ N pacients (b) N pacientma eqims ufro adre mimarTa, vidre _ A pacientma (g) N pacienti ufro optimisturad afasebda Tavisi gamojanmrTelebis

SesaZleblobas, vidre _ A pacienti (d) A pacientisgan gansxvavebiT, N pacienti, eqimis mier gamowerili medikamentebis

garda, mravalgzis aprobirebul homeopaTiur saSualebebsac iRebda

16. mocemulia:

• zogierTi molekula arastabiluria

qvemoT CamoTvlilTagan romelia am debulebis tolfasi?

(a) yoveli molekula araa arastabiluri

(b) arsebobs stabiluri molekulebi

(g) yvela molekula ar aris stabiluri

(d) zogierTi ram, rac stabiluria, ar aris molekula

17. arCili, dimitri da irakli aswavlian qimias, biologias da istorias

quTaisis, gorisa da Telavis universitetebSi. cnobilia, rom:

• arCili ar muSaobs quTaisSi • dimitri ar muSaobs gorSi • is, vinc quTaisSi muSaobs, ar aswavlis istorias • is, vinc gorSi muSaobs, aswavlis qimias • dimitri ar aswavlis biologias

qvemoT CamoTvlilTagan romelia marTebuli am monacemebis Tanaxmad?

irakli aswavlis:

(a) quTaisSi istorias

(b) quTaisSi biologias

(g) TelavSi istorias

(d) gorSi qimias

7

18. davuSvaT, rom: • yvela genetikoss uyvars fantastikuri Janris literatura

• zogierT Tanamedrove biologs ar uyvars fantastikuri Janris

literatura

Tu es debulebebi WeSmaritia, maSin qvemoT CamoTvlilTagan romeli ar SeiZleba

iyos WeSmariti?

(a) fantastikuri Janris literaturis moyvaruli zogierTi Tanamedrove

biologi ar aris genetikosi

(b) mxolod genetikosebs uyvarT fantastikuri Janris literatura

(g) zogierTi genetikosi, romelsac uyvars fantastikuri Janris literatura,

Tanamedrove biologia

(d) mxolod genetikosebi arian Tanamedrove biologebi

8

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

xmeleTis mniSvnelovani nawili udabnos, yinulis safarsa da mTebs uWiravs.

nayofieri miwa (anu miwa, romelic vargisia mosavlis mosayvanad) SedarebiT

iSviaTia. axali miwebis aTvisebis sakiTxi Zalze aqtualuria. miwebis aTviseba ori

gziTaa SesaZlebeli: wyliT dafaruli, Waobiani niadagis amoSrobiT da

gamousadegar, metismetad mSral miwaze sairigacio sistemis mowyobiT.

miwis aTvisebas, nayofieri niadagis warmoqmnis garda, sxva dadebiTi mxareebic

aqvs. saukuneebis ganmavlobaSi romTan axlos mdebare pontinis Waobi

dausaxlebeli iyo. is, daaxloebiT, Zv.w. 300 wels gaCnda, savaraudod, miwisZvris

Sedegad, ramac zRvis mimdebare teritoriis aweva gamoiwvia da zRvaSi

mdinareebis Cadineba Seaferxa. mravali saukunis ganmavlobaSi am Waobis daSrobis

yvela mcdeloba warumatebeli aRmoCnda. sabolood, 1920-1930-ian wlebSi,

ganaxorcieles grandiozuli melioraciuli* proeqti, ris Sedegadac mdinareebis

wyali, romelic vrcel teritoriebs tboravda, dResdReobiT uzarmazar arxebSi

moedineba. adre uvargis miwaze xuTi qalaqi gaSenda.

udabnos, sadac mcire raodenobis naleqebi modis da, Sesabamisad, cota

mcenare xarobs, xmeleTis erTi meSvidedi ukavia. udabnos zogierTi nawili

imdenad mSralia, rom iq mcenareebi saerTod ar izrdeba. udabnos aTvisebis

erTaderTi gza sairigacio sistemis mowyobaa. axlo aRmosavleTSi sarwyav

teqnologias ramdenime aTasi wlis winac iyenebdnen. egvipteSi, mesopotamiaSi,

CineTsa da indoeTSi amgvari sistemebi arsebobda ukve Zv.w. III aTaswleulSi.

irigaciis umartivesi meTodia arxiT wylis miyvana mdinaridan an mtknarwyliani

tbidan sameurneo miwis nakveTamde. am meTodis gamoyeneba mxolod iseT

teritoriebzea SesaZlebeli, sadac wylis rezervuari ufro maRlaa, vidre _

sarwyavi nakveTi. egvipteSi yovelwliurad, rodesac nilosi diddeboda,

adidebul wyals specialurad agebul sagubrebSi agrovebdnen da Semdeg

mindvrebis mosarwyavad iyenebdnen. 1968 wlidan mdinare nilosis dinebas

aregulirebs asuanis kaSxali, romelic adidebuli mdinaris wyals xelovnurad

Seqmnil tba naserSi agrovebs. irigaciuli sistemis mowesrigebis Sedegad

egvipteSi soflis meurneobis produqciis warmoeba gaormagda.

udabnos teritoriaze, magaliTad, israelSi negevisa da afrikaSi saharis

udabnoSi, aseve _ avstraliis did udabnoSi arsebobs miwisqveSa wylis

uzarmazari bunebrivi rezervuarebi. zogierT adgilas miwisqveSa wyali

wyalgaumtar qanebs Sorisaa moqceuli da, Wis gaTxrisas, maRali wnevis

zemoqmedebiT zedapirze amodis, xSirad _ mZlavri Sadrevnis saxiT. aseT Was

arteziuli ewodeba. Tumca, arteziuli Webi iSviaTad gvxvdeba. udabnoSi wyali,

rogorc wesi, unda amoitumbos.

niadagis aTvisebisTanave Cndeba misi dacvis aucilebloba, rac gulisxmobs

niadagze wvimis, momdinare wylisa da qaris zemoqmedebis Semcirebas, radgan am

faqtorTa zegavleniT viTardeba niadagis erozia. eroziisgan niadags balaxis

safaric icavs da misi xarisxis gaumjobesebas uwyobs xels.

*melioracia _ RonisZiebaTa sistema, romlis daniSnulebaa miwis bunebrivi (sameurneo

saqmianobisTvis araxelsayreli) mdgomareobis gaumjobeseba misi nayofierebis gazrdis mizniT.

9

19. ra mimarTebaa I da II abzacebs Soris?

(a) I abzacSi wamoWrilia problema, II abzacSi ki aRniSnulia Sedegi, romelic

erT SemTxvevaSi am problemis mogvarebas mohyva

(b) I abzacSi aRwerilia faqtebi, II abzacSi ki SemoTavazebulia am faqtebis

gansxvavebuli Sefasebebi

(g) I abzacSi ganxilulia problemis mogvarebis ori gza, II abzacSi ki

moTxrobilia erT-erTis gamoyenebis warumatebeli mcdeloba

(d) I abzacSi warmodgenilia aqtualuri sakiTxis ori aspeqti, II abzacSi ki

detaluradaa aRwerili meTodi, romliTac SesaZlebelia am sakiTxis

gadawyveta

20. qvemoT CamoTvlilTagan romeli winadadeba gamoxatavs Zv. w. 300 wels

momxdari miwisZvris Sedegebs?

(a) zRvis sanapiros reliefis cvlilebam Seaferxa mdinareTa Cveuli dineba

(b) wyali, romelic vrcel teritorias tboravda, dResdReobiT arxebSi miedineba

(g) zRvis mimdebare teritoriis awevis Semdeg SesaZlebeli gaxda melioraciuli

proeqtis ganxorcieleba

(d) pontinis Waobis daSrobis Semdeg dausaxlebel miwebze gaSenda axali qalaqebi

21. qvemoT CamoTvlilTagan romeli ar dasturdeba teqstSi? irigaciis umartivesi meTodi:

(a) iTvaliswinebs wylis bunebrivi rezervuaridan sarwyav nakveTamde arxiT wylis

miyvanas

(b) aucileblad gulisxmobs rezervuaris arsebobas iseT adgilas, romelic

mosarwyav nakveTze ufro maRlaa

(g) warmoadgens udabnos aTvisebis aucilebel winapirobas

(d) ar iTvaliswinebs specialuri sagubrebis agebas

22. teqstSi moyvanili asuanis kaSxlis magaliTi:

(a) warmoaCens irigaciis uZvelesi meTodebis naklovan mxareebs

(b) gamokveTs Tanamedrove sarwyavi teqnologiebis efeqturobas sameurneo

saqmianobisTvis

(g) xazs usvams udabnoSi wylis xelovnuri rezervuarebis Seqmnis aucileblobas

(d) cxadyofs mtknarwyliani tbebis sairigaciod gamoyenebis mniSvnelobas

10

23. qvemoT CamoTvlilTagan romeli winadadebaa marTebuli? IV abzacSi saubaria:

(a) arteziul wylebze, romelic udabnoSi unda amoitumbos

(b) miwisqveSa wylis rezervuarebze, romlebic maRali wnevis zemoqmedebiT

yovelTvis warmoqmnis bunebriv Sadrevans

(g) wyalgaumtar qanebs Soris moqceul Webze, romlebic mravlad gvxvdeba

israelis, afrikisa da avstraliis udabnoebSi

(d) wylis miwisqveSa bunebriv rezervuarebze, saidanac wyals sxvadasxva meTodiT

moipoveben

24. arsebobs termini `irigaciuli erozia~. ras SeiZleba niSnavdes es termini?

(a) niadagis daSlasa da Camorecxvas wvimisa da gamdnari Tovlis wyliT

(b) balaxis safaris intensiur rwyvas, rac zemoqmedebs niadagis nayofierebaze

(g) araswori rwyvis Sedegad ganviTarebul procesebs, rac iwvevs niadagis

struqturis gauaresebas

(d) niadagze momdinare wylis maregulirebeli wyalgamtari kvlebis moSlis

Sedegad ganviTarebul procesebs

25. ra aris mocemuli teqstis daniSnuleba?

(a) egvipturi da ZvelaRmosavluri sairigacio sistemis Sedareba Tanamedrove

sistemebTan

(b) Waobiani niadagisa da udabnos melioraciisTvis gamoyenebuli meTodebis

saerTo problematikis gamokveTa

(g) niadagis eroziis ganmapirobebeli faqtorebisa da maTi Tavidan acilebis

meTodebis ganxilva

(d) sxvadasxva bunebriv pirobebSi gamoyenebuli melioraciuli RonisZiebebis

mimoxilva

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. Txilis guli : naWuWi (a) meomari : fari

(b) kosmonavti : skafandri

(g) motociklisti : Cafxuti

(d) myvinTavi : akvalangi

27. arqeologiuri gaTxrebi : muzeumi (a) wisqvili : Tone

(b) kulisebi : scena

(g) kalo : beReli

(d) sabado : samWedlo

28. evolucia : ganviTareba (a) sensacia : gamoxmaureba

(b) referendumi : kenWisyra

(g) romantika : emocia

(d) polifonia : mravalxmianoba

29. guli : sisxlZarRvi (a) rezervuari : arxi

(b) kaSxali : sadeni

(g) Rumeli : sakvamuri

(d) wyalsaqaCi : mili

30. eskizi : naxati (a) romani : eposi

(b) eqspromti : leqsi

(g) moxseneba : Tezisi

(d) interviu : statia

12

31. fiWvnari : xexilis baRi (a) madani : rkina

(b) xma : eqo

(g) kedeli : tixari

(d) yinuli : nayini

32. wamoiwia : wamodga (a) dafiqrda : gaiazra

(b) SeisunTqa : daynosa

(g) Seyovnda : Seferxda

(d) Caimuxla : Camojda

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.

33. rusuli kulturis _____ gamoixateboda _____ ZiebaSi. amitom _____ , rom swored rusma mxatvrebma Secvales _____ .

(a) erT-erTi centraluri idea / ubraloebisa da sisadavis / gasakviri araa /

mrudi xazi sworiT

(b) mier ugulebelyofili erT-erTi ideis arsi / ubraloebisa da sisadavis /

gasakviria / swori xazi mrudiT

(g) centraluri idea ar / sirTulisa da mravalferovnebis / gasakviri araa /

swori xazi mrudiT

(d) mier ugulebelyofili ideis arsi / sirTulisa da mravalferovnebis /

gasakviria / mrudi xazi sworiT

34. subieqtis mier aRqmuli sagnis xati misi _____ `pirvelwyaros~ zusti _____ , ramdenadac is _____ mkafio niSniT _____ .

(a) obieqturi / aslia / obieqturobis / ar aRibeWdeba

(b) subieqturi / asli araa / obieqturobis / aRibeWdeba

(g) obieqturi / asli araa / subieqtivizmis / aRibeWdeba

(d) subieqturi / aslia / subieqtivizmis / ar aRibeWdeba

13

35. kadrebis menejerma gadawyvita axali TanamSromlebis miReba _____ , Tumca, manamde is _____ organizaciis direqtoris azrs, rom kadrebi _____ unda

SerCeuliyo. sainteresoa, ratom Secvala kadrebis menejerma Tavisi pozicia da

_____ , rom samuSao gamocdilebis gaTvaliswineba _____ Seuwyobda xels

kadrebis sworad SerCevas.

(a) winaswari SerCevis gareSe / kategoriulad ewinaaRmdegeboda / winaswari

gasaubrebis safuZvelze / gadawyvita, mxari daeWira ideisTvis / ver

(b) mxolod maTi samuSao gamocdilebis gaTvaliswinebiT / kategoriulad ar

eTanxmeboda / swored am niSniT / uari Tqva im mosazrebaze / ver

(g) winaswari gasaubrebis gareSe / savsebiT eTanxmeboda / mxolod samuSao

gamocdilebis gaTvaliswinebiT / uari aRar Tqva im mosazrebaze /

mniSvnelovnad

(d) mxolod maTi samuSao gamocdilebis gaTvaliswinebiT / savsebiT eTanxmeboda /

swored am niSniT / gadawyvita, mxari daeWira ideisTvis / mniSvnelovnad

36. homerosi verasodes ifiqrebda, rom SeiZleboda `iliada~ da `odisea~ _____ SeeTxza. verc ki warmoidgenda, rom mis _____ , sxvaTaTvis _____ da dauSlida

maT _____ .

(a) yovelgvari wesis gareSe / wesebs odesme vinme ugulebelyofda / misabaZ

magaliTad gamoiyenebda / Semoqmedebis procesSi damorCilebodnen am wesebs

(b) winaswar SemuSavebuli wesebis mixedviT / `uwesobas~ odesme vinme Seiswavlida /

uaryofiT magaliTad aqcevda / Semoqmedebis procesSi damorCilebodnen

garkveul wesebs

(g) yovelgvari wesis gareSe / wesebs odesme vinme ugulebelyofda / uaryofiT

magaliTad aqcevda / yofiliyvnen homerosiviT Tavisufalni, `uwesoni~ da

originalurni

(d) winaswar SemuSavebuli wesebis mixedviT / `uwesobas~ odesme vinme

Seiswavlida, mowesrigebul nawilebad dayofda / gamoiyenebda wesad /

yofiliyvnen homerosiviT Tavisufalni, `uwesoni~ da originalurni

37. ramdenadac sityva, rogorc bgeraTa kompleqsi, ZiriTadad, _____ masSi

nagulisxmev mniSvnelobas, amdenad igi _____ , anu _____ unars.

(a) ar hgavs / aviTarebs simbolur azrovnebas / TvalsaCinod aRqmulSi misgan

gansxvavebuli, araTvalsaCino azris wvdomis

(b) hgavs / ver aviTarebs simbolur azrovnebas / TvalsaCinod aRqmulSi misi

msgavsi, TvalsaCino azris wvdomis

(g) ar hgavs / ver ganapirobebs mniSvnelobis sworad gagebas / araTvalsaCino

obieqtisTvis misgan gansxvavebuli, TvalsaCino informaciis misadagebis

(d) hgavs / ganapirobebs mniSvnelobis sworad gagebas / TvalsaCino obieqtisTvis

misgan gansxvavebuli, TvalsaCino informaciis misadagebis

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. bolo wlebSi indoeTis samomxmareblo bazarze SeimCneoda yavis erT-erTi saxeobis mwvave deficiti. gamoiTqva varaudi: yavis am saxeobis deficitis mizezi,

zogadad, yavis mosavlianobis Semcirebaa, rac gamowveulia qveyanaSi klimatis

mkveTri cvlilebiT.

qvemoT CamoTvlilTagan romeli faqti ayenebs eWvqveS am varauds?

(a) bolo wlebSi junglebis gaCexvam farTomasStabiani xasiaTi miiRo, ris gamoc

temperaturam am qveyanaSi ramdenime gradusiT moimata

(b) bolo wlebSi mkveTrad imata im momxmarebelTa raodenobam, romlebic

upiratesobas yavis am saxeobas aniWeben

(g) yavis es saxeoba indoeTisTvis erT-erTi yvelaze prioritetulia da,

Sesabamisad, misi plantaciebis gaSenebisTvis sul ufro meti teritoria

gamoiyofa

(d) mecnierTa dakvirvebiT, am saxeobis yavis mosavlianoba pirdapirproporciul

kavSirSia naleqis sixSiresa da odenobasTan

39. mocemulia:

• zogierTi meqsikeli gamoCenili gitaristia

qvemoT CamoTvlilTagan romeli unda aviRoT meore debulebad, rom SevZloT

davaskvnaT:

• zogierTi meqsikeli niWieri adamiania

(a) yvela gamoCenili gitaristi meqsikelia

(b) zogierTi niWieri adamiani araa meqsikeli

(g) zogierTi gamoCenili gitaristi niWieri adamiania (d) yvela gamoCenili gitaristi niWieri adamiania

15

40. fsiqologebi mozardebis qcevas akvirdebodnen, ris Sedegadac daaskvnes, rom gogonebi ufro metad gamoirCevian sxvebisTvis daxmarebis gawevis mzadyofniT,

vidre _ biWebi. mogvianebiT fsiqologebma Caatares eqsperimenti, romlis

safuZvelzec dadginda, rom biWebsa da gogonebSi daaxloebiT Tanabradaa

gamoxatuli sxvebisaTvis daxmarebis gawevis mzadyofna.

qvemoT CamoTvlilTagan romeli faqtiT SeiZleba aixsnas gansxvaveba dakvirvebisa

da eqsperimentis Sedegebs Soris?

(a) rogorc dakvirvebis procesi, aseve eqsperimenti farulad mimdinareobda, ise,

rom arc gogonebma da arc biWebma ar icodnen maT Sesaxeb

(b) dakvirvebis procesi sakmaod xangrZlivi iyo da mozardebis qcevis nebismieri

aspeqti specialurad Sedgenili anketis meSveobiT aRinusxeboda

(g) eqsperimentis dawyebamde masSi monawile mozardebs dauriges broSurebi,

romlebic socialuri mxardaWeris mniSvnelobas exeboda

(d) eqsperimentSi monawileobda im mozardebis umravlesoba, romlebsac

akvirdebodnen kidec

41. mocemulia:

• safrangeTis zogierTi moqalaqe alJirelia

• yvela alJirels, romelic safrangeTis moqalaqea, uyvars sporti

• safrangeTis yvela moqalaqe saubrobs frangulad

davuSvaT, es debulebebi WeSmaritia. qvemoT CamoTvlilTagan romeli daskvna

gamomdinareobs maTgan aucileblad?

(a) yvela alJireli saubrobs frangulad

(b) sportis zogierTi moyvaruli saubrobs frangulad

(g) safrangeTis zogierTi moqalaqe araa sportis moyvaruli

(d) sportis moyvaruli yvela alJireli safrangeTis moqalaqea

42. mocemulia: • leqsebis krebulSi yovel nawarmoebs, riTmiania is Tu ara, aqvs saTauri.

qvemoT CamoTvlilTagan romeli debuleba gamomdinareobs am mocemulobidan?

(a) krebulSi araa Setanili uriTmo leqsebi

(b) krebulis arc erTi leqsi araa uriTmo da usaTauro

(g) krebulis arc erTi leqsi araa riTmiani da dasaTaurebuli

(d) krebulSi bevri leqsi uriTmoa, Tumca _ dasaTaurebuli

16

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

adamians samyaros Sesaxeb mwyobri, arawinaaRmdegobrivi Sexedulebebis Seqmnisa

da SenarCunebis moTxovnileba aqvs. garkveuli winaaRmdegobis, magaliTad, sakuTar

mosazrebebsa da qcevas Soris Seusabamobis aRmocenebisas, adamians uCndeba

fsiqikuri diskomforti, daZabuloba, romlis daZlevasac is cdilobs. am

fenomenis Sesaxeb arsebul koncefciebs Soris yvelaze popularulia kognituri

(SemecnebiTi) disonansis Teoria.

kognituri disonansi subieqtis gancdiseuli mdgomareobaa, romelic

warmoiqmneba adamianis cnobierebaSi ori an meti SemecnebiTi elementis

(Tvalsazrisis, sakuTari qcevis Sefasebis da a.S.) fsiqologiuri Seusabamobis

SemTxvevaSi. or kognitur elements Soris disonansi maSin Cndeba, rodesac erTi

elementidan gamomdinareobs meoris uaryofa, anu X-isa da Y-is kavSiri

disonansuria, Tu X-dan gamomdinareobs araY. disonansuri mdgomareobis

aRmocenebis sailustraciod xSirad mohyavT mwevelTa magaliTi, romlebmac ician,

rom moweva mavnebelia maTi janmrTelobisTvis, magram uars ver amboben mowevaze.

disonansi, romelsac isini am dros ganicdian, SeiZleba moixsnas: a) qcevis

SecvliT (daanebon Tavi mowevas); b) codnis SecvliT (daarwmunon sakuTari Tavi,

rom informacia mowevis mavneblobis Sesaxeb ar aris sando); g) informaciis

SerCeviTad aRqmiT (ugulebelyon informacia, romelic mowevis mavneblobas

adasturebs, an moiZion mxolod iseTi faqtebi, romlebic mowevis dadebiT

aspeqtebze miuTiTebs). disonansis moxsna gulisxmobs urTierTSeusabamo

kognituri elementebidan erT-erTis an, zogjer, orives Secvlas, maT erTmaneTTan

SeTanxmebas, raTa Semcirdes winaaRmdegoba da aRdges darRveuli wonasworoba.

kognituri disonansis Teoriis mixedviT, rodesac adamiani axorcielebs iseT

qcevas, romlis gamarTleba `gare~ argumentebiT SeuZlebelia, maSin is `Sinagani~

argumentaciis meqanizms aamoqmedebs. l. fridmanis eqsperimentSi cdispirebi

mosawyen da erTferovan davalebas asrulebdnen. isini or jgufad dayves. pirveli

jgufis wevrebisTvis miwodebul instruqciaSi aRniSnuli iyo, rom am

eqsperimentis Sedegebs naklebi mniSvneloba eniWeboda, radgan gamokvlevebis

ZiriTadi seria, faqtobrivad, dasrulebuli iyo. meore jgufis wevrebs ki

acnobes, rom kvleva-Zieba gadamwyvet stadiaze imyofeboda da eqsperimentis

Sedegebs Zalze didi mniSvneloba hqonda. aRmoCnda, rom pirveli jgufis wevrebi,

meoresTan SedarebiT, ufro dadebiTad afasebdnen Sesrulebul davalebas.

rogorc vxedavT, uintereso davalebis SesrulebiTa da amgvari qcevisTvis gare

gamarTlebis ararsebobiT gamowveuli disonansi davalebis mimarT dadebiTi

damokidebulebis SeqmniT moixsna.

adamiani, romelic ramdenime alternatiuli gadawyvetilebidan erT-erTs

irCevs da Sesabamis qcevas axorcielebs, uneburad iwyebs am qcevis gamarTlebas.

j. bremis eqsperimentSi cdispirebs sxvadasxva saxis eleqtroxelsawyo xarisxis

mixedviT unda SeefasebinaT. amis Semdeg eqsperimentSi monawileobisTvis maT erT-

erTi xelsawyoTi asaCuqrebdnen. `saCuqari~ cdispirebs Tavad unda aerCiaT maT

mier erTnairad Sefasebuli ori xelsawyodan. arCevanis gakeTebis Semdeg isini

xelaxla afasebdnen yvela im nivTs, romelic eqsperimentis dasawyisSi Seafases.

cdispirebma SerCeuli nivTi, pirvel SefasebasTan SedarebiT, ufro dadebiTad

Seafases, xolo uaryofili – nakleb pozitiurad.

17

43. qvemoT CamoTvlilTagan romelia marTebuli?

I abzacSi:

(a) saubaria samyaros Sesaxeb adamianis SexedulebaTa arawinaaRmdegobriv xasiaTsa

da misi SenarCunebis faqtorebze, aseve _ aRniSnul sakiTxTan dakavSirebiT

arsebul Teoriebze

(b) aRniSnulia samyaros Sesaxeb warmodgenaTa urTierTSeusabamobiT gamowveuli

usiamovno mdgomareobisgan Tavis daRwevis moTxovnilebisa da am sakiTxisadmi

miZRvnili Teoriebis arseboba

(g) dasaxelebulia samyaros Sesaxeb SexedulebaTa urTierTSeusabamobis gamomwvevi

situaciebi, amgvari Seusabamobis Tanmdevi Sedegebi da maT asaxsnelad Seqmnili

koncefciebi

(d) ganxilulia samyaros Sesaxeb warmodgenaTa arawinaaRmdegobrivi xasiaTis

SenarCunebis mniSvneloba, fsiqikuri diskomfortis gamomwvevi faqtorebi da

Sesabamisi Teoriuli koncefciebi

44. adamians, romelic dadebiTadaa ganwyobili X-isa da Y-sadmi, disonansi ar gauCndeba im SemTxvevaSi, Tu:

(a) Y-is miRwevas ar axlavs X-is dakargvis SiSi (b) Y-is miRweva ganapirobebs araX-is warmoqmnas (g) Y-sadmi swrafvas ar axlavs X-is miRwevis SesaZlebloba (d) Y-sadmi swrafvas xels uwyobs araX-is miRweva

45. mweveli adamianis magaliTis safuZvelze SeiZleba davaskvnaT, rom:

(a) disonansuri mdgomareobisgan Tavis daRwevisas adamiani Seusabamo moqmedebis

aRkveTas, Cveulebriv, sarwmuno informaciis moZiebiT axerxebs

(b) disonansis gancdiseuli mdgomareobis aRmoceneba, ZiriTadad, im SemTxvevaSia

mosalodneli, rodesac adamianis janmrTelobas safrTxe emuqreba

(g) disonansis gamomwvev kognitur elementebsa da maT Soris arsebuli

winaaRmdegobis moxsnis gzebs Soris garkveuli Tanxvedra unda arsebobdes

(d) erTi da imave mizeziT gamowveuli disonansuri mdgomareobis aRsakveTad

SesaZlebelia sruliad gansxvavebuli strategiebis gamoyeneba

18

46. qvemoT CamoTvlilTagan romeli Tvalsazrisi ar dasturdeba teqstSi?

(upasuxeT II abzacis mixedviT)

(a) disonansis mosaxsnelad adamiani zogjer ori winaaRmdegobrivi kognituri

elementidan erT-erTis sasargeblod moiZiebs informacias

(b) ori winaaRmdegobrivi kognituri elementis urTierTdaaxloebis mizniT

adamianma SeiZleba Secvalos qceva

(g) urTierTSeusabamo kognitur elementebs Soris winaaRmdegobis Sesamcireblad

adamianma SeiZleba ugulebelyos garkveuli informacia

(d) disonansis Sedegad darRveuli wonasworobis aRsadgenad adamiani iZulebulia

Secvalos orive winaaRmdegobrivi kognituri elementi

47. CamoTvlilTagan romelia fridmanis eqsperimentSi aRwerili disonansis

warmoqmnis situaciis analogiuri?

(a) mecnierma daadgina, rom aRmoCena, romelsac is gansakuTrebul mniSvnelobas

aniWebda, misTvis naklebad pativsacem da arakvalificiur mkvlevars ekuTvnoda

(b) mogzaurma iseTi turistuli marSruti airCia, romelic, misi azriT,

komfortuli da usafrTxo iyo, Tumca, Semdeg gairkva, rom am marSrutiT

mxolod riskis moyvaruli adamianebi sargebloben

(g) axalgazrda musikosi konkursisTvis didi xnis ganmavlobaSi intensiurad

emzadeboda, Tumca, aRmoCnda, rom musikalur samyaroSi am konkurss arc Tu

prestiJulad miiCnevdnen

(d) qalbatonma popularuli markis or avtomobils Soris ukeTesi dizainis

mqone manqana airCia, mogvianebiT ki aRmoaCina, rom es ukanaskneli gacilebiT

met sawvavs saWiroebda, vidre _ mis mier uaryofili avtomobili

48. III abzacis mixedviT, ra mimarTebaa `gare~ argumentebs, `Sinagan~ argumentebsa da qcevis Sefasebas Soris?

(a) rac ufro meti `gare~ argumenti aqvs adamians garkveuli saqmianobis

Sesasruleblad, miT metad savaraudoa, rom is dadebiTad Seafasebs am

samuSaos

(b) rac ufro naklebi `Sinagani~ argumenti aqvs adamians garkveuli saqmianobis

Sesasruleblad, miT metad savaraudoa, rom adamiani aRar mimarTavs `gare~

argumentebs

(g) rac ufro naklebi `gare~ argumenti aqvs adamians samuSaos Sesasruleblad,

miT metad savaraudoa, rom is dadebiTad Seafasebs sakuTar qcevas

(d) rac ufro meti `Sinagani~ argumenti aqvs adamians ama Tu im qcevis

gansaxorcieleblad, miT metad savaraudoa, rom is aRar mimarTavs `gare~

argumentebs

19

49. bolo abzacSi warmodgenili cdis Sedegebis safuZvelze SeuZlebelia gaeces pasuxi kiTxvas:

(a) ra efeqti axlavs erTnairad Sefasebuli nivTebidan erT-erTis arCevas

(b) ra SemTxvevaSi icvleba subieqtis mier ama Tu im nivTis Sefaseba,

Tavdapirvel SefasebasTan SedarebiT

(g) rogoria disonansis moxsnis ZiriTadi strategia erTnairad Sefasebuli

obieqtebidan erT-erTisTvis prioritetis miniWebis SemTxvevaSi

(d) rogoria mimarTeba nivTis realur xarisxsa da subieqtis mier mis Sefasebas

Soris

50. ra mimarTebaa teqstSi mocemul mwevelTa magaliTsa da ori eqsperimentis Sedegebs Soris?

(a) mwevelTa magaliTSi aRwerili disonansi gamowveulia SeusabamobiT qcevasa da

mis Sesaxeb codnas Soris, fridmanis eqsperimentSi _ SeusabamobiT qcevasa da

mis `gare~ gamarTlebas Soris, xolo bremis eqsperimentSi _ Tavdapirvel

Sefasebebsa da momdevno qcevas Soris

(b) mwevelTa magaliTSi aRwerili disonansi cxovrebiseuli xasiaTisaa, maSin

rodesac fridmanis da bremis eqsperimentebSi gamovlenili disonansi mxolod

laboratoriul pirobebSi SeiZleba warmoiqmnas

(g) mwevelTa magaliTSi da bremis eqsperimentSi aRwerili disonansis safuZveli

or codnas Soris arsebuli Seusabamobaa, xolo fridmanis eqsperimentSi _

qcevis ararealisturi Sefaseba

(d) mwevelTa magaliTSi aRwerili disonansis aRmoceneba ukavSirdeba qcevis

negatiur Sefasebas, fridmanis eqsperimentSi _ davalebis neitralur xasiaTs,

xolo bremis eqsperimentSi _ sasiamovno (`dasaCuqrebis~) proceduras

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 am gverdis 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.

marTkuTxedis didi gverdis sigrZea 8 sm, xolo diagonalisa _ 10 sm.

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

53.

sportul kompleqsSi gatarebuli yoveli saaTisTvis

gadasaxadi dRis 12 sT-dan saRamos 19 sT-mde 4 la-ria, xolo sxva dros _ 2 lari. Tina sportul

kompleqsSi erTi kviris ganmavlobaSi yoveldRe

dadioda da iq 3 saaTis ganmavlobaSi rCeboda.

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

54.

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

55.

samkuTxedis AB da BC gverdebi tolia. 1, 2, 3 da 4 am samkuTxedis gverdebis ori wrfiT gadakveTis

Sedegad miRebuli kuTxeebia (ix.

naxazi).

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

432 km 2,75 km

100-ze naklebi 5-is jera-di luwi naturaluri

ricxvebis raodenoba

100-ze naklebi 5-is je-radi kenti naturaluri

ricxvebis raodenoba

Tinas mier gadasaxdeli Tanxa 38 lari

am marTkuTxedis

mcire gverdis sigrZe 6 sm

∠1 + ∠2 ∠3 + ∠4

23

56.

x naklebia a-ze 16-iT, xolo b metia x-ze.

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

57.

ricxvTa RerZze mocemulia dadebiTkoordinatebiani

wertilebi: A, B da C. A-s koordinati 2-jer metia B-s koordinatze da 4-jer metia C-s koordinatze.

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

58.

a da b dadebiTi ricxvebia. a -s mesamedi b-s meeqvsedze naklebia.

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

amocanebi

59. 315 : 4 =

(a) 1211

(b) 311

(g) 321

(d) 1212

(e) 412

60. naTiam 4 cali asanTis ReriT kvadrati Seadgina, Semdeg 3 Reris gamoyenebiT am kvadrats meore kvadrati miadga, Semdeg isev 3 Reris gamoyenebiT meore

kvadrats mesame kvadrati miadga da ase moiqca kidev ramdenjerme. naTiam sul 19 cali asanTis Reri gamoiyena. ramdeni kvadrati Seudgenia naTias? (a) 9 (b) 8 (g) 7 (d) 6 (e) 5

ba

a b

AC monakveTis sigrZis Sefar-deba AB monakveTis sigrZesTan

2

24

61. 503·236·39·57·24=a . romeli cifriT bolovdeba a ricxvis cifruli Canaweri?

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

62. Tu qalaqis mosaxleobis raodenoba b aTasis tolia da igi jer m%-iT Semcirdeba, Semdeg ki n%-iT gaizrdeba, maSin qalaqis mosaxleobis

saboloo raodenoba p (aTasebSi) gamoiTvleba formuliT: ⎟⎠⎞⎜

⎝⎛ +⎟⎠⎞⎜

⎝⎛ −= 10011001 nmbp .

qalaqis mosaxleobis raodenoba 100 aTasis tolia. ramdeni aTasis toli iqneba am qalaqis mosaxleobis raodenoba, Tu igi jer 10%-iT Semcirdeba, Semdeg ki

20%-iT gaizrdeba? (a) 104 (b) 106 (g) 108 (d) 110 (e) 112

monacemTa analizi

cxrilSi warmodgenilia ekonomikuri ganviTarebis saministros statistikis de-

partamentis monacemebi imis Sesaxeb, Tu ramden milion aSS dolars Seadgenda saqar-

Tvelodan eqsportirebuli sxvadasxva produqciis Rirebuleba 2001-2006 wlebSi.

2001 2002 2003 2004 2005 2006 xorbali 1,3 6,6 11 23 5 6,6 Saqari 3 14 34 34 30 19

bostneuli 0,5 0,7 0,4 1,1 1,1 1,2 xili 12 9,2 16 21 77 62

mineraluri wylebi 12 17 20 19 32 24 ualkoholo sasmelebi 3,5 2,8 12 14 20 23

ludi 0,2 0,2 0,2 0,1 0,2 0,5 Rvino 32 34 43 49 82 42

spirtiani sasmelebi 3,8 5,8 13 19 29 30

cxrilis mixedviT upasuxeT Semdeg oTx SekiTxvas:

63. ramdeni milioni dolariT aRemateboda 2004 wels eqsportirebuli Saqris Rirebuleba imave wels eqsportirebuli xorblis Rirebulebas? (a) 11 (b) 15 (g) 19 (d) 23 (e) 27

25

64. CamoTvlilTagan romel wels Semcirda eqsportirebuli bostneulis

Rirebuleba 300 aTasi dolariT (wina welTan SedarebiT)? (a) 2002 (b) 2003 (g) 2004 (d) 2005 (e) 2006 65. ludi, Rvino da spirtiani sasmelebi alkoholuri sasmelebis jgufs

miekuTvneba. 2001 wels saqarTvelodan eqsportirebuli alkoholuri sasmelebis Rirebulebis ra nawils Seadgenda imave wels eqsportirebuli Rvinis

Rirebuleba?

(a) 21

(b) 32

(g) 54

(d) 76

(e) 98

66. CamoTvlilTagan romeli winadadebaa marTebuli, cxrilis mixedviT? (a) saqarTvelodan eqsportirebuli mineraluri wylebis Rirebuleba yovel

wels aRemateboda imave wels eqsportirebuli xilis Rirebulebas

(b) saqarTvelodan eqsportirebuli ualkoholo sasmelebis Rirebuleba yovel

wels aRemateboda imave wels eqsportirebuli Saqris Rirebulebas

(g) yovel wels, dawyebuli 2002-dan, saqarTvelodan eqsportirebuli ludis Rirebuleba, wina welTan SedarebiT, ar iklebda

(d) yovel wels, dawyebuli 2002-dan, saqarTvelodan eqsportirebuli ualko-holo sasmelebis Rirebuleba, wina welTan SedarebiT, iklebda

(e) yovel wels, dawyebuli 2002-dan, saqarTvelodan eqsportirebuli spirtiani sasmelebis Rirebuleba, wina welTan SedarebiT, izrdeboda

amocanebi

67. marTkuTxa sakoordinato sibrtyeze mocemuli ABCD paralelogramis A, B da D wertilebis koordinatebi miTiTebulia naxazze.

C wertilis koordinatebi (m; n) = (a) (5; 4) (b) (2; 4) (g) (2; 5) (d) (8; 2) (e) (–5; –2)

26

68. ramdeniT gadiddeba sami ricxvis jami, Tu pirvel Sesakrebs gavadidebT 2-iT, meores _ 4-iT, xolo mesames SevamcirebT 3,4-iT?

(a) 9,4-iT

(b) 7,4-iT

(g) 6-iT

(d) 4,6-iT

(e) 2,6-iT

69. Tu erTmaneTisgan gansxvavebuli a da b ricxvebis saSualo ariTmetikuli

y -is tolia, maSin =−−

ybya

(a) 1−

(b) 21−

(g) 21

(d) 1 (e) 2

70. tolujredebian badeze moniSnuli A, B, C da D wertilebi erTmaneTTan texili xazebiTaa SeerTebuli, romelTa wveroebi badis kvanZebs

emTxveva (ix. naxazi). C da D wertilebis SemaerTebeli texilis sigrZea 480 m. ramdeni metria A da B wertilebis SemaerTebeli texilis sigrZe?

(a) 280 (b) 300 (g) 320 (d) 340 (e) 360

71. n nebismieri naturaluri ricxvia. vTqvaT, ∗n aRniSnavs n-is yvela gamyofis namravls. magaliTad,

∗4 = 1 · 2 · 4 = 8. risi tolia

∗10 : ∗5 ? (a) 2 (b) 5 (g) 15 (d) 20 (e) 50

27

72. 9 erTnairi kolofiT aawyves marTkuTxa paralelepipedis formis sxeuli,

romlis sigrZea 30 sm, sigane _ 15 sm, simaRle _ 20 sm. ramdeni aseTi kolofia saWiro 60 sm sigrZis wibos mqone kubis formis sxeulis asawyobad? (a) 240 (b) 216 (g) 182 (d) 144 (e) 81

73. parterSi skamebi k rigad awyvia. TiToeul rigSi skamebis raodenoba 5-iT metia rigebis raodenobaze, amfiTeatrSi ki imdenive skamia, ramdenic parterSi.

risi tolia skamebis raodenoba partersa da amfiTeatrSi erTad? (a) 2k(k + 5) (b) 2(k + 5) (g) 2k + 5 (d) 4(k + 5) (e) 8k

74. yurZens sami dRis ganmavlobaSi krefdnen. pirvel dRes 50 tona yurZeni

mokrifes. meore dRes mokrefili yurZnis raodenobis Sefardeba pirvel dRes

mokrefili yurZnis raodenobasTan 54-is toli iyo, xolo mesame dRes mokrefili

yurZnis raodenobasTan _ 35-isa.

ramdeni tona yurZeni moukrefiaT mesame dRes? (a) 8 (b) 16 (g) 24 (d) 32 (e) 40

75. Tu ( ) 21 axaxa =++ , maSin =x

(a) 12

2

+−

aaa

(b) 122

+aa

(g) aa

a−+

2

2 1

(d) 11

2

2

+−

aa

(e) 1212+−

aa

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.

sakancelario maRaziaSi rveuli 30 TeTri Rirs,

fanqari _ 20 TeTri. liam am maRaziaSi Tavisi

Tanxis naxevriT fanqrebi iyida, darCeniliT _

kalmebi, elenem ki amave odenobis TanxiT mxolod

rveulebi iyida.

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

77.

kunZulze, romelzec mxolod ori _ A da B _

sastumroa, A sastumroSi cxovroben mxolod fran-gi da germaneli, xolo B sastumroSi _ mxolod germaneli da ingliseli turistebi. diagramebze

mocemulia, turistebis raodenobis ramden

procents Seadgenda

frang, germanel da

inglisel turistTa

raodenoba A sastumroSi da

mTlianad kunZulze.

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

78.

nebismieri a, b da c ricxvebisTvis ( ) bcacba −= ·*,, .

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

lias mier nayidi

sakancelario

nivTebis raodenoba

elenes mier nayidi

sakancelario

nivTebis raodenoba

B sastumroSi mcxovreb inglisel

turistTa raodenoba

B sastumroSi mcxovreb germanel

turistTa raodenoba

( )*,1,2 aa − ( )*2,3, aa

29

79.

diliT M da N kompaniebis aqciebi erTnair fasSi iyideboda. dRis ganmavlobaSi kompaniaTa aqciebis

fasi orjer Seicvala: M kompaniis aqciebi jer

gaiafda 20%-iT, Semdeg gaZvirda 25%-iT, N kompaniis aqciebi ki jer gaZvirda 25%-iT, Semdeg

gaiafda 20%-iT.

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

80.

wreSi, romlis radiusis sigrZea 6 sm, gav-lebulia ori radiusi, romelTa boloebi

monakveTiTaa SeerTebuli (ix. naxazi).

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

81.

a · b > 0, a · c > 0

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

82.

marTkuTxedis erTi gverdis sigrZe 4 sm-is tolia, xolo perimetri metia 10 sm-ze. (a) (b) (g) (d)

amocanebi

83. =+

++++10031003

10051004100310021001

(a) 211

(b) 312

(g) 212

(d) 322

(e) 313

am marTkuTxedis

farTobi 5 sm2

cba ++ 0

M kompaniis aqciebis

fasi dRis bolos

N kompaniis aqciebis fasi dRis bolos

am monakveTiTa da radiusebiT

Sedgenili samkuTxedis farTobi 22 kv. sm

30

84. Tu 43 += xy da 43 += yx , maSin 6 – y = (a) 4 (b) 5 (g) 6 (d) 7 (e) 8

85. M da N wertilebi ABCD kvadratis BC da AD gverdebis Suawertilebia, K wertili ki MN monakveTis Suawertilia. risi tolia ABCD kvadratis farTobi, Tu ABMK oTxkuTxedis farTobia 12 sm2?

(a) 24 sm2

(b) 26 sm2

(g) 28 sm2

(d) 30 sm2

(e) 32 sm2

86. mimdevrobis pirveli wevria 104, yoveli momdevno wevri ki wina wevrze 2,5-jer metia. am mimdevrobis meramdene wevria 1000-ze meti, magram 2000-ze naklebi?

(a) me-2 (b) me-3 (g) me-4 (d) me-5 (e) me-6

monacemTa analizi

diagramaze mocemulia, risi tolia haeris saSualo temperatura afrikis sam

qalaqSi: mombasaSi, keiptaunsa da kairoSi (yovelTviurad).

31

diagramis mixedviT upasuxeT Semdeg oTx SekiTxvas:

87. romel TveSia keiptaunSi haeris saSualo temperaturasa da mombasaSi haeris saSualo temperaturas Soris gansxvaveba yvelaze didi? (a) ivnisSi

(b) ivlisSi

(g) agvistoSi

(d) seqtemberSi

(e) oqtomberSi

88. romel TveSia kairoSi haeris saSualo temperaturis maCvenebeli keiptaunisa da mombasas Sesabamisi maCveneblebis saSualo ariTmetikulis toli? (a) ianvarSi

(b) TebervalSi

(g) martSi

(d) aprilSi

(e) maisSi

89. keiptaunSi haeris saSualo temperaturis maCvenebeli aprilSi, wina TvesTan SedarebiT, Semcirebulia:

(a) 3%-iT (b) 6%-iT (g) 9%-iT (d) 12%-iT (e) 15%-iT 90. CamoTvlilTagan romeli winadadebaa marTebuli, diagramis mixedviT? (a) haeris saSualo temperatura kairoSi wlis ganmavlobaSi TandaTan imatebs,

keiptaunSi _ iklebs, xolo mombasaSi TiTqmis ar icvleba

(b) haeris saSualo temperatura keiptaunSi yovelTvis aRemateba saSualo

temperaturas kairoSi, magram naklebia haeris temperaturaze mombasaSi

(g) mombasaSi haeris saSualo temperatura, keiptaunTan SedarebiT, yovelTvis

metia, kairosTan SedarebiT ki _ yovelTvis naklebi

(d) mombasaSi haeris saSualo temperatura, keiptaunTan SedarebiT, yovelTvis

metia, kairosTan SedarebiT ki _ ara

(e) wlis dasawyisSi haeris temperaturis saSualo maCvenebeli yvelaze maRalia

mombasaSi, yvelaze dabali _ kairoSi, wlis bolos ki piriqiT, yvelaze maRali

temperatura kairoSia, yvelaze dabali _ mombasaSi

32

amocanebi

91. banani kviris ganmavlobaSi 25%-iT gaZvirda. nanam kviris bolos 20 cali banani iyida. ramdeni cali bananis yidvas SeZlebda nana imave TanxiT kviris

dasawyisSi? (a) 45 (b) 35 (g) 30 (d) 25 (e) 15

92. paralelogrami dayofilia tol rombebad, romelTagan zogierTi gamuqebulia (ix. naxazi).

paralelogramis gaumuqebeli nawilis farTobi

paralelogramis gamuqebuli nawilis farTobi

(a) 31

(b) 41

(g) 52

(d) 83

(e) 95

93. avtosadguridan avtobusi 9.00 saaTze gavida, mikroavtobusi ki imave mimarTulebiT _ 9.30 saaTze. orive Seuferxeblad, Tanabari siCqariT moZraobda: avtobusis siCqare iyo 60 km/sT, xolo mikroavtobusisa _ 80 km/sT. ramdeni kilometris gavlis Semdeg daeweva mikroavtobusi avtobuss?

(a) 70 (b) 90 (g) 120 (d) 140 (e) 150

94. mocemulia ricxvebis ori sveti (ix. naxazi). pirveli svetis TiToeul ricxvs umateben meore svetis

TiToeul ricxvs. ramden gansxvavebuli mniSvnelobis

mqone jams miiReben sul? (a) 6 (b) 8 (g) 10 (d) 12 (e) 14

=

1 102 113 124 135

33

95. x da y iseTi naturaluri ricxvebia, rom yx 4− kentia. qvemoT

CamoTvlilTagan romeli SeiZleba iyos luwi? (a) yx 2+

(b) yx 32 +

(g) yx 2−

(d) 122 +− yx

(e) ( ) 11 ++ yx 96. banki klients wlis bolos uricxavs Cveulebriv anabarze arsebuli Tanxis 4%-s, xolo vadian anabarze arsebuli Tanxis 12%-s. giam Tavisi Tanxis 4

3 nawili

Cveulebriv anabarze Seitana, danarCeni ki _ vadian anabarze. wlis bolos bankma

gias orive anabarze erTad 48 lari dauricxa. ramdeni lari Seutania gias

orive anabarze erTad? (a) 800 (b) 750 (g) 700 (d) 650 (e) 600

97. wesieri xuTkuTxedis yvela wvero wrewirze mdebareobs. β am wrewiris radiusebiT Sedgenili kuTxea (ix. naxazi).

ramdeni gradusia β kuTxis sidide? (a) 108° (b) 120° (g) 135° (d) 144° (e) 150°

98. ricxvi x metia –1-ze, magram naklebia 2-ze, xolo ricxvi y metia –3-ze, magram naklebia –2-ze. CamoTvlilTagan romlis toli SeiZleba iyos yx · ?

(a) –10,4 (b) –7,9 (g) –6,2 (d) 4,8 (e) 2,6

34

99. saaTis ciferblatze wuTebis maCvenebeli isari 30 wuTSi 180°-iT Semo-

brundeba. ra dro dasWirdeba saaTebis maCvenebeli isris 105°-iT Semobrunebas? (a) 3 sT 30 wT (b) 3 sT (g) 2 sT 30 wT (d) 2 sT (e) 1 sT 30 wT

100. p da q iseTi naturaluri ricxvebia, rom p-s (q + 1)-ze gayofisas miRebuli naSTi (q–6)-is tolia. risi toli iqneba (2p + 12)-is (q + 1)-ze gayofisas miRebuli naSTi?

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

I II III stud. I II III stud.

1 g b g b 51 g a a g

2 d g g b 52 g a b g

3 b a d a 53 b d g a

4 g g a g 54 b d d b

5 g b g g 55 d g b g

6 d d d d 56 d g b d

7 a g b a 57 a d g b

8 a g g g 58 a a d b

9 d g b d 59 b a b b

10 a b a b 60 g b a d

11 g a d g 61 e b g d

12 d d b d 62 a e e g

13 b b a a 63 d d e a

14 g g d d 64 b d g b

15 d d d a 65 b b d e

16 a b g g 66 e a e e

17 a d d b 67 g e a a

18 g a b d 68 g b b e

19 d b g a 69 e d g a

20 b g d a 70 e g a g

21 g d g g 71 b b e d

22 b b d b 72 e e g b

23 a b b d 73 g d e a

24 b g a g 74 e g d g

25 a a b d 75 d a b a

26 d g g b 76 a b a d

27 b b d g 77 g d b b

28 d d d d 78 a g a a

29 d d d d 79 a b b g

30 g g g b 80 a a a b

31 b a a d 81 g a a d

32 a a b a 82 a b g d

33 b d b a 83 d g d g

34 a a g g 84 g d d e

35 g b a b 85 a e a e

36 g d b d 86 d g e g

37 a a a a 87 d g b b

38 b d b b 88 d b d d

39 d d a d 89 e a g e

40 b a d g 90 d a b d

41 g g b b 91 d a d d

42 a a g b 92 g e g a

43 b b a b 93 b e e g

44 a b b a 94 d e d b

45 g g d d 95 d b a b

46 g b a d 96 b g d a

47 d a a g 97 b d e d

48 b a b g 98 b g g e

49 d b a d 99 a d b a

50 g a g a 100 g d d e

verbaluri naw. maTematik. naw.