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

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. gariJraJi : mwuxri (a) faqti : reportaJi

(b) recenzia : komentari

(g) prologi : epilogi

(d) lokomotivi : eSeloni

2. jadosnuri joxi : natvrisTvali (a) sarke : mina

(b) mTvare : disko

(g) ruka : masStabi

(d) saqanela : karuseli

3. Tavisufleba : okupirebuli (a) samarTali : mosamarTle

(b) wyali : mwyurvali

(g) wuxili : mwuxare

(d) Zili : mZinara

4. metyveleba : intonacia (a) aveji : savarZeli

(b) solo : dueti

(g) xili : aromati

(d) gakveTili : niSani

5. moipova : dasaCuqrda (a) ganizraxa : moifiqra

(b) daadanaSaula : daibrala

(g) daimaxsovra : daamaxsovrda

(d) CaiZira : daileqa

6. gemTmSenebeli : zRva (a) geologi : niadagi

(b) konstruqtori : planeri

(g) dizaineri : interieri

(d) Jurnalisti : presa

3

7. xmauri : bgera (a) qvayrili : qva

(b) miwuri : miwa

(g) wneli : wnuli

(d) ekalbardi : ekali

8. saRebavebs azavebs : naxati (a) krefs : Taiguli

(b) rwyavs : baRi

(g) xazavs : sqema

(d) afasebs : qula

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. modilianis ferweraSi _____ SexvdebiT _____ saxis gamometyvelebas. _____ am portretebis damaxasiaTebeli niSania. _____ , rom portretebis fons umetesad

_____ kari warmoadgens.

(a) xSirad / `iolad wasakiTx~ / gulCaxveuloba / amitom SemTxveviTia / magrad

daketili

(b) xSirad / `rTulad wasakiTx~ / gulRiaoba / Tumca, gasakviri araa / farTod

gaRebuli

(g) iSviaTad / `rTulad wasakiTx~ / gulRiaoba / Tumca, gasakviria / farTod

gaRebuli

(d) iSviaTad / `iolad wasakiTx~ / gulCaxveuloba / amitom SemTxveviTi ar aris /

magrad daketili

4

10. Sua saukuneebis droindeli erT-erTi mematiane wers, rom xanZarmodebul qalaqSi _____ SenobaTa ngrevis _____ . es kidev erTi argumentia im mosazrebis

_____ , rom Sua saukuneebSi grZnobad aRqmaSi smena _____ mxedveloba.

(a) masze yvelaze Zlieri STabeWdileba moaxdina / xmam da ara TviT xanZris

xilvam / sasargeblod / ufro mniSvnelovan rols asrulebda, vidre _

(b) masze yvelaze Zlieri STabeWdileba moaxdina / xilvam da ara ngrevis xmam /

sawinaaRmdegod / ar iyo ise mniSvnelovani, rogorc

(g) masze gacilebiT naklebad imoqmeda / xmam, vidre _ xanZris xilvam /

sawinaaRmdegod / naklebi mniSvnelobisa iyo, vidre _

(d) masze gacilebiT naklebad imoqmeda / xilvam, vidre _ ngrevis xmam /

sasargeblod / ar iyo ise mniSvnelovani, rogorc

11. termini `mibaZva~ xelovnebaSi sxvadasxvagvarad esmodaT. amJamad yoveli

Semoqmedi _____ warmoaCinos _____ . renesansis epoqaSi mwerlobisa da

xelovnebis warmomadgenlebTan _____ SeimCneoda _ isini siamayiT acxadebdnen,

rom _____ antikurobis saukeTeso nimuSebs.

(a) naklebadaa dainteresebuli / sakuTari TviTmyofadoba da uaryos `winaparTa~ gavlena / analogiuri tendencia / ar baZavdnen

(b) gansakuTrebiT dainteresebulia / sakuTari TviTmyofadoba, iseve, rogorc

`winaparTa~ gavlena sakuTar Semoqmedebaze / sapirispiro tendencia /

baZavdnen

(g) gansakuTrebiT dainteresebulia / sakuTari TviTmyofadoba da uaryos

`winaparTa~ gavlena / sapirispiro tendencia / baZavdnen (d) naklebadaa dainteresebuli / sakuTari mimbaZveloba, iseve, rogorc

`winaparTa~ gavlena sakuTar Semoqmedebaze / analogiuri tendencia /

baZavdnen

12. rac unda gasakviri iyos, am eqsperimentSi cdispirebi _____ jgufis

zegavlenas, aramed _____ jgufis wevrTa _____ .

(a) ara mxolod ewinaaRmdegebodnen / ar eridebodnen / zemoqmedebisTvis

winaaRmdegobis gawevas

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

Secvlas

(g) araTu ar ewinaaRmdegebodnen / cdilobdnen / azris ignorirebas

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

5

13. erTi mxriv, warsulidan momavlisken da, meore mxriv, momavlidan warsulisken mimarTuli mzera _____ dakvirvebis obieqts. Tu mzera warsulidan momavliskenaa

mimarTuli, awmyos _____ erTobliobad aRviqvamT. _____ roca warsulisken

vixedebiT, _____ .

(a) ar cvlis / gansxvavebuli faqtebis / aseve, / Tanabrad mosalodnel

SesaZleblobaTa mTel jaWvs vxedavT

(b) sruliad cvlis / Tanabrad mosalodnel SesaZleblobaTa / magram / realobas

faqtis statusi eniWeba

(g) ar cvlis / Tanabrad mosalodnel SesaZleblobaTa / magram / gansxvavebul

SesaZlo SemTxvevaTa jaWvs vxedavT

(d) sruliad cvlis / gansxvavebuli faqtebis / aseve, / realobas faqtis statusi

eniWeba

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. CogburTis moednis SesasvlelTan gamokrulia gancxadeba:

• `14-dan 16 saaTamde moedanze mxolod klub `saturnis~ wevrebi varjiSoben.~

amave dros, cnobilia, rom:

• `saturnis~ yvela wevri saSualo skolis moswavlea

qvemoT CamoTvlilTagan romeli daskvna SeiZleba gamovitanoT am informaciidan?

(a) 14-dan 16 saaTamde CogburTis sxva moednebzec skolis moswavleebi varjiSoben

(b) am moedanze sxva saaTebSi profesionali CogburTelebi varjiSoben

(g) is, vinc saSualo skolis moswavle ar aris, 14-dan 16 saaTamde CogburTis am

moedanze ar varjiSobs

(d) klub `saturnisgan~ gansxvavebiT, sxva saCogburTo klubis arc erTi wevri ar

aris saSualo skolis moswavle

6

15. sociologebma A regionSi Caatares kvleva, romlis monacemebiT cxadi gaxda, rom am regionis mcxovrebTa 95% bunebaSi yofnisas Semgroveblur-monadiruli

saqmianobiTaa dakavebuli, maSin, roca mxolod 5%-s surs bunebaze dakvirveba da

zrunva mis dasacavad. sociologebma ivaraudes, rom es tendencia regionis

mcxovrebTa dabalma ekologiurma kulturam ganapiroba.

CamoTvlilTagan romeli faqti ganamtkicebs am varauds?

(a) am regionis mcxovrebni mkacrad icaven monadireTa klubis Tu garemos dacvis

asociaciis wesdebis moTxovnebs, romlebic bunebis dacvis Tanamedrove

principebs emyareba

(b) am regionSi didi xania akrZalulia tyis gaCexva da gamoiyeneba sawvavis ufro

efeqturi da ekonomiuri saxeobebi

(g) am regionSi mTebiT, tbebiTa Tu CanCqerebiT mdidari uamravi teritoriaa

kargad movlili da daculi, rac biologebsa Tu bunebismoyvarul turistebs

izidavs

(d) am regionis xelmZRvanelobam premia daawesa mtacebelTa ganadgurebisTvis,

xolo maTi raodenobis Semcirebam ekosistemis rRvevis safrTxe Seqmna

16. mocemulia: • akrobatebs sruliad ar aqvT simaRlis SiSi

qvemoT CamoTvlilTagan romeli unda aviRoT meore debulebad, rom SevZloT

davaskvnaT:

• cirkis zogierT msaxiobs sruliad ar aqvs simaRlis SiSi

(a) zogierTi akrobati cirkSi muSaobs

(b) akrobatebi ar miekuTvnebian gaubedav adamianTa ricxvs

(g) rac ufro didxans muSaobs cirkSi msaxiobi, miT ufro nakleb mosalodnelia,

rom mas simaRlis SiSi hqondes

(d) rac ufro gaubedavia msaxiobi, miT ufro metad mosalodnelia, rom mas

simaRlis SiSi hqondes

7

17. levani da mari wlis ganmavlobaSi sxvadasxva adgilas isveneben _ sazRvao da samTo kurortebze, agarakze, sofelSi da sazRvargareT, magram yovel wels am

dasasvenebel adgilTagan mxolod sams irCeven. amasTan:

• Tu romelime wels isveneben samTo kurortze, imave wels isveneben zRvazec

• Tu romelime wels isveneben sofelSi, Semdeg wels iq aRar midian

dasasveneblad

• yovel wels dasasveneblad irCeven mxolod erTs im adgilebidan, sadac

SarSan isvenebdnen

SarSan levani da mari dasasveneblad iyvnen sazRvao da samTo kurortebze, aseve,

sofelSi. sad wavlen isini dasasveneblad wels?

(a) zRvaze, agarakze da sazRvargareT

(b) mTaSi, agarakze da sazRvargareT

(g) zRvaze, sofelSi da agarakze

(d) zRvaze, mTaSi da sofelSi

18. oTxma moswavlem gamoTqva Tavisi mosazreba ariTmetikuli amocanis pasuxTan dakavSirebiT.

Tamuna: amocanis pasuxia 9;

eka: es kenti ricxvia;

nika: es ricxvi 7-ze meti da 16-ze naklebia;

giorgi: amocanis pasuxia 15.

aRmoCnda, rom gogonebidanac da biWebidanac erTis mosazreba sworia, meorisa –

ara. qvemoT CamoTvlilTagan romeli SeiZleba iyos amocanis pasuxi?

(a) 7

(b) 9

(g) 13

(d) 15

8

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

adamianis da futkris ynosvis organoTa anatomiuri agebuleba sruliad

sxvadasxvaa. miuxedavad amisa, futkrebi TiTqmis iseve SeigrZnoben suns, rogorc

adamianebi, Tumca, futkars ufro gafaqizebuli aqvs ynosva yvavilTa surnelis

mimarT. futkrebs davudgaT ramdenime fiala, romelTagan mxolod erTSi asxia

Tafli. am fialas lavandis esencia wavusvaT. mas Semdeg, rac futkrebi ramdenjerme

SeWamen Tafls fialidan, SevcvaloT fialebis ganlageba, amasTan, arc erT maTganSi

Tafli aRar CavasxaT. Tu futkari mainc uSecdomod moZebnis lavandissurnelian

fialas, maSin unda vigulisxmoT, rom igi suniT cnobs mas. Semdeg cdaSi lavandis

surneli SevcvaloT sxva, misi msgavsi surneliT. Tu futkari dajdeba am fialaze,

unda vivaraudoT, rom igi or msgavs surnels erTmaneTisgan ver ganasxvavebs; Tu

ar dajdeba _ safiqrebelia, rom is ganasxvavebs maT. ase TandaTanobiT, surnelisa

da misi intensivobis cvliT, SeiZleba futkris ynosviTi unaris gamokvleva.

cnobilia, rom mzveravi futkrebi `acnobeben~ mTel skas sakvebiT mdidari

adgilebis Sesaxeb, garkveuli moZraobebiT mianiSneben manZilsa da mimarTulebas,

romelsac mzis mixedviT gansazRvraven. am dros futkrebi ulvaSebiT exebian

mzveravis mucels da, rogorc Cans, SeigrZnoben yvavilis (magaliTad, akaciis)

surnels, romliTac gaJRenTilia igi. isini zustad gansazRvruli `sahaero gzebiT~

mieSurebian neqtris Sesagroveblad. frenisas futkrebi ar miaqceven yuradRebas sxva

yvavilebs, ar Sexedaven ayvavebul wablis xes, Tundac is maT gzaze idges.

sainteresoa, samyaro futkrebisTvis iseTive feradovania, rogoric CvenTvis,

Tu Sav-TeTri fotografiis msgavsia? karl fon friSma 1956 wels Caatara

eqsperimenti, romlis saSualebiTac daadgina, rom futkrebs aqvT feris SegrZnebis

unari. magidaze daawyves erTi lurji da ramdenime sxvadasxva tonis ruxi feris

firfita. lurj firfitaze futkris mosazidad cotaodeni Tafli daasxes da is

magidis centrSi moaTavses. mas Semdeg, rac futkarma lurji firfitidan Tafli

SeWama, is Secvales imave feris axali firfitiT, romelic amjerad magidis kidesTan

dades. rux firfitebs Soris iyo ramdenime iseTi firfita, romelTa garCeva

lurjisgan SeuZlebeli iqneboda Sav-TeTr fotoze. futkars feris SegrZnebis

unari rom ar hqonoda, yvela am firfitasTan mifrindeboda, magram aRmoCnda, rom

man lurji firfita danarCenebisgan advilad gamoarCia.

cdebiTve gairkva, rom futkari ver xedavs zogierT fers, romelsac Cven

SevigrZnobT, magaliTad, wiTels; samagierod, xedavs ultraiisfer sxivebs, romlebic

uxilavia adamianis TvalisTvis: futkari sxvadasxvagvarad aRiqvams or TeTr dafas,

romelTagan erTi ultraiisferi sxivebis amreklavi TeTri saRebaviTaa SeRebili,

meore ki _ am sxivebis STanmTqmeli TeTri saRebaviT, Tumca, adamianis mier orive

dafis feri erTnairad aRiqmeba. ultraiisfer sxivebs yvelaze Zlierad ireklavs

TeTri yvavilebi da amitom isini futkrebisTvis mkveTrad gamoirCeva foTlebis

fonze, romlebic maTTvis Ria ruxi ferisaa.

futkrebis unarze, SeigrZnon ultraiisferi gamosxiveba, miuTiTebs isic, rom

maT mzis mixedviT orientireba Rrublian amindSic SeuZliaT. mzis

adgilmdebareobas isini gansazRvraven ultraiisferi sxivebiT, romlebsac Rrublebi

ver akavebs. Tu im mxridan, saiTac mzea, futkrebs davudgamT filtrs, romelic

ultraiisfer sxivebs ar atarebs, isini ver SeZleben mzis mixedviT orientirebas.

9

19. I abzacSi aRwerili cdebis Sesaxeb SeiZleba iTqvas:

(a) futkari iseve SeigrZnobs yvavilTa surnels, rogorc adamiani, amitom

yvavilis surnelisa da misi intensivobis cvliT SegviZlia futkris

SegrZnebaTa kvleva

(b) miuxedavad imisa, rom adamianisa da futkris ynosvis organoTa anatomiuri

agebuleba gansxvavebulia, I abzacSi aRwerili cdebi gviCvenebs, rom futkrebi

zustad iseve SeigrZnoben suns, rogorc adamianebi

(g) futkari or msgavs surnels erTmaneTisgan ver ganasxvavebs, surnelis

intensivobis Secvlis SemTxvevaSi ki man, savaraudod, unda SeZlos maTi

garCeva

(d) miuxedavad imisa, rom I abzacSi cdebis Sedegebi ar aris warmodgenili,

zustad aris miTiTebuli is gza, romlis meSveobiTac unda davadginoT

futkris erT-erTi SegrZnebis Taviseburebani

20. `futkrebi ar miaqceven yuradRebas sxva yvavilebs, ar Sexedaven ayvavebul

wablis xes, Tundac is maT gzaze idges~, radgan:

(a) isini zustad gansazRvruli `sahaero gzebiT~ mieSurebian neqtris

Sesagroveblad

(b) maT erTi mizani aqvT: neqtris asaRebad im yvavilebTan unda mifrindnen,

romelTa Sesaxeb maT mzveravma futkarma acnoba

(g) ulvaSebiT Sexebisas futkari SeigrZnobs mxolod zogierTi yvavilis surnels

im surnelTagan, romlebiTac gaJRenTilia mzveravi futkari

(d) isini mifrinaven sakvebiT ufro mdidari adgilebisken, vidre _ wablis xe da

mis irgvliv arsebuli garemoa

21. feris SegrZnebis unari rom ar hqonoda:

(a) futkari ruxsa da lurj firfitebs erTmaneTisgan feriT mainc ganarCevda,

Tu Tafls mxolod rux firfitebze daasxamdnen

(b) futkrisTvis xiluli samyaro Sav-TeTri fotografiis msgavsi iqneboda, mas

ruxi feris gansxvavebuli tonebis garCevac ki gauWirdeboda

(g) futkari im rux firfitebTanac mifrindeboda, romelTa feris intensivoba

lurjisas daemTxveoda

(d) futkrisTvis lurji firfitis amocnoba mainc SesaZlebeli iqneboda, Tu mas,

centris nacvlad, magidis kuTxeSi movaTavsebdiT

22. teqstis mixedviT, ar SeiZleba vivaraudoT, rom:

(a) futkrisTvis advilia balaxSi iebis feris gamorCeva

(b) futkrisTvis araa advili gvirilebisa da iebis ferebis erTmaneTisgan garCeva

(g) futkrisTvis advilia gvirilebisa da yayaCoebis ferebis erTmaneTisgan garCeva

(d) futkrisTvis araa advili balaxSi yayaCos feris gamorCeva

10

23. III abzaci iwyeba SekiTxviT. qvemoT CamoTvlilTagan romeli pasuxobs mas?

(a) friSis eqsperimentiT dadginda, rom futkrebs aqvT feris SegrZnebis unari,

ufro metic, isini im sxivebsac xedaven, romlebic adamianis TvalisTvis

uxilavia

(b) friSis eqsperimentiT dadginda, rom futkrebi xedaven mxolod erTnairi

intensivobis ferebs, Tumca, TeTri feri maTTvis mkveTrad gamoirCeva

(g) TeTri dafebis epizodi cxadyofs, rom futkrebi adamianisgan gansxvavebulad

aRiqvamen ferebs, xiluli samyaro maTTvis Sav-TeTr fotografias emsgavseba

(d) TeTri dafebis epizodi cxadyofs, rom futkrebi erTmaneTisgan ver ganarCeven

sxvadasxva fers, Tumca, xedaven ultraiisfer sxivebs, amitom samyaro maTTvis

ar emsgavseba Sav-TeTr fotografias

24. romeli mosazreba SeiZleba miviCnioT marTebulad, teqstis mixedviT?

(a) radgan futkrebi mzis mixedviT orientireben, maT uWirT Rrublian amindSi

sakvebiT mdidari adgilebis zustad miniSneba

(b) raki Rrublian amindSi mzis adgilmdebareobas futkrebi gansazRvraven

ultraiisferi sxivebiT, unda vifiqroT, rom Rrublebi ver akavebs am sxivebs

(g) radgan futkrebs ar uWirT Rrublian amindSi orientireba, unda vifiqroT,

rom maT adamianis msgavsi mxedvelobiTi SegrZnebis unari aqvT

(d) Tu im mxridan, saiTac mzea, ar davdgamT ultraiisferi sxivebis Semakavebel

filtrs, es sxivebi adamianisTvisac xiluli gaxdeba

25. romel or abzacs aqvs analogiuri funqcia teqstSi?

(a) II da V

(b) II da IV

(g) II da III

(d) I da V

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. baZavs : msgavsi (a) afasebs : adekvaturi

(b) acxelebs : aduRebuli

(g) asrulebs : arasruli

(d) xvews : ukeTesi

27. Tavla : doRi (a) fronti : omi

(b) marani : nadimi

(g) Teatri : premiera

(d) arqivi : sasamarTlo

28. piki : kulminacia (a) centri : wertili

(b) gverdi : wibo

(g) zedapiri : fskeri

(d) kide : periferia

29. xelovani : virtuozi (a) xelisufali : monarqi

(b) mecnieri : profesori

(g) Segirdi : ostati

(d) sportsmeni : Cempioni

30. Tvali mohkra : daaTvaliera (a) Seferxda : Seayovna

(b) aRniSna : Caiwera

(g) Cavarda : Cavida

(d) miemxro : daexmara

12

31. adamianis saxe : portreti (a) melodia : simRera

(b) piesa : speqtakli

(g) beWedi : anabeWdi

(d) globusi : dedamiwa 32. meryeoba : gadawyvetilebis miReba (a) imedi : sasowarkveTa

(b) riski : gabedva

(g) Secdoma : gamoaSkaraveba

(d) siaxle : danergva

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. saerTaSoriso urTierTobaTa sistemaSi ZalTa wonasworobis koncefciis

funqciaa _____ SenarCuneba. _____ ZalTa wonasworoba am sistemaSi yovelTvis

_____ ar gulisxmobs. es iqidanac Cans, rom saxelmwifoebi _____ ZalTa

wonasworobis aRsadgenad.

(a) mSvidobis da, Sesabamisad, arsebuli sistemis / Tumca, / oms / mSvidobas

icaven

(b) ara mSvidobis, aramed Tavad sistemis / amitom / mSvidobas / oms mimarTaven

xolme

(g) ara saomari mdgomareobis aRkveTa, aramed mSvidobis / amitom / mSvidobas /

oms Tavs arideben

(d) saomari mdgomareobis aRkveTa da, Sesabamisad, mSvidobis / Tumca, / oms / oms

mimarTaven xolme

34. roca vsaubrobT _____ , maSin xom _____ , rogorc mis zRvars. amitom roca es _____ mogvevlineba, maSin mistifikaciad _____ miviCnioT is, rac

moxda.

(a) SesaZlebelze / TavisTavad vgulisxmobT SeuZlebelsac / SeuZlebeli / ar

unda

(b) SeuZlebelze / yovelTvis gamovricxavT SesaZlebels / SesaZlebeli / ar unda

(g) SesaZlebelze / arasodes gamovricxavT SeuZlebels / SeuZlebeli / unda

(d) SeuZlebelze / yovelTvis vgulisxmobT SesaZlebelsac / SesaZlebeli / unda

13

35. erTmaneTisgan _____ socialuri modelebi, romlebic gansakuTrebiT did

mniSvnelobas _____ cvlilebis Sinagan faqtorebs da xSirad aRweren

sazogadoebis ganviTarebas iseTi terminebis saSualebiT, rogorebicaa _____ ;

da, meore mxriv, iseTi modelebi, romlebic met yuradRebas cvlilebis _____

aniWeben da iyeneben iseT cnebebs, rogorebicaa _____ .

(a) unda gavarCioT / ar aniWeben / `mibaZva~, `gadmoReba~ / gare faqtorebs /

`imitacia~, `identifikacia~

(b) ar ganirCeva / ar aniWeben / `imitacia~, `gadmoReba~ / Sinagan faqtorebs /

`mibaZva~, `identifikacia~

(g) unda gavarCioT / aniWeben / `evolucia~, `zrda~, `dacema~ / gare faqtorebs /

`imitacia~, `gadmoReba~

(d) ar ganirCeva / aniWeben / `pirovnuli zrda~, `zneobrivi dacema~ / Sinagan

faqtorebs / `imitacia~, `gadmoReba~

36. adamianebi xotbas asxamen mxolod saSualo niWs. ase daadgina umravlesobam, da is upirispirdeba yvelas, vinc ar eteva am CarCoSi. me _____ , davetio am

SualedSi da _____ , magram ara imitom, rom is _____ . zustad aseve _____

ukiduresobasac.

(a) Tanaxma var / ar msurs mivuaxlovde qveda ukiduresobas / kidea, aramed

imitom, rom is qvedaa / avaridebdi Tavs zeda

(b) uars vacxadeb / viswrafvi zeda ukiduresobisken / zedaa, aramed imitom, rom

is kidea / uarvyofdi qveda

(g) Tanaxma var / uars vacxadeb qveda ukiduresobaze / qvedaa, aramed imitom,

rom is kidea / uarvyofdi zeda

(d) uars vacxadeb / viswrafvi zeda ukiduresobisken / kidea, aramed imitom, rom

is zedaa / avaridebdi Tavs qveda

37. Teofrastes azriT, _____ gancxromis survilTan wilnayari Secodeba, _____ simwaresTan wilnayari danaSauli. pirvel SemTxvevaSi Semcode _____ saTamaSod

qceuli, meoreSi ki, piriqiT, Semcode _____ , romelsac swored es usamarTloba

_____ .

(a) ufro meti gmobis Rirsia / vidre _ / TviTon iswrafvis usamarTlobisken,

sakuTari vnebebis / usamarTlobis msxverpls ufro hgavs / aRuZravs risxvas

(b) ufro meti gmobis Rirsia / vidre _ / ganicdis usamarTlobas, sxvaTa neba-

survilis / Tavad aris usamarTlobis Camdeni / aqcevs msxverplad

(g) Tanabrad dasagmobia rogorc / aseve / Tavad ganicdis usamarTlobas, sxvaTa

neba-survilis / usamarTlobis msxverpls ufro hgavs / aRuZravs risxvas

(d) Tanabrad dasagmobia rogorc / aseve / TviTon iswrafvis usamarTlobisken,

sakuTari vnebebis / TviTon aris usamarTlobis Camdeni / aqcevs msxverplad

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. yvavilebis saTburSi sami qoTani dgas warwerebiT: `limoni~, `yvavilebi~,

`vardi~. qeTim am qoTnebSi dargo limoni, tita da vardi, oRond ise, rom samive

warwera mcdari aRmoCnda.

yvela mcenarem gaixara. ra aRmocenda qoTanSi, warweriT _ `vardi~?

(a) limoni

(b) tita

(g) vardi

(d) monacemebi sakmarisi ar aris kiTxvaze pasuxis gasacemad

39. pedagogTa dakvirvebiT, rogorc ki ufroskurseli interesdeba kompiuteriT, is maSinve iwyebs inglisuri enis intensiur Seswavlas. gamoiTqva varaudi, rom

damamTavrebeli kursis studentebi samsaxuris dasawyebad emzadebian, dasaqmebis

mniSvnelovan winapirobas ki kompiuterisa da inglisuri enis codna warmoadgens.

qvemoT CamoTvlilTagan romeli debuleba ayenebs eWvqveS am varauds?

(a) ufroskurselTa umravlesobas ucxoeTSi surs samsaxuris dawyeba da,

Sesabamisad, aqtiurad iyenebs internets, romlis meSveobiT ecnoba

gamocxadebul samuSao vakansiebs

(b) kompiuteris im momxmareblebs, romlebmac kargad ar ician inglisuri ena an

did dros andomeben kompiuterul programebSi garkvevas, uWirT samsaxurSi

mowyoba

(g) ufroskurselTa umravlesoba iseT dawesebulebebSi apirebs samsaxuris

dawyebas, sadac aucilebelia kompiuterisa da ucxo enis floba

(d) ufroskurselTa umravlesoba gamocdebisTvis mzadebisas internetSi

gamoqveynebuli masaliT sargeblobs, romelic, ZiriTadad, inglisur enazea

15

40. A, B, C, D da E qveynebi erTmaneTs mxolod aviatransportiT ukavSirdeba. • A qveyanas oTxi aviaxazi akavSirebs danarCen qveynebTan _ TiTo aviaxazi

TiTo qveyanasTan

• B qveyanas, garda im aviaxazisa, romelic mas A-sTan akavSirebs, kidev ori aviaxazi akavSirebs, Sesabamisad, C da D qveynebTan

• E qveyanas, garda im aviaxazisa, romelic mas A-sTan akavSirebs, erTi

aviaxazi akavSirebs C qveyanasTan

D qveynidan E-Si Casasvlelad, ise, rom erT qveyanaSi orjer ar movxvdeT, unda gamoviyenoT maqsimum:

(a) sami aviaxazi

(b) oTxi aviaxazi

(g) xuTi aviaxazi

(d) eqvsi aviaxazi

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

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

qvemoT CamoTvlilTagan romeli ganamtkicebs eqimis am mosazrebas?

(a) A pacients ufro Zlieri imunuri sistema hqonda, vidre _ B pacients (b) B pacientma eqims ufro gvian mimarTa, vidre _ A pacientma (g) B pacients, A-sTan SedarebiT, am daavadebis ufro ioli forma hqonda (d) A pacienti, B-sgan gansxvavebiT, eqimis mier gamowerili medikamentebis garda,

homeopaTiur saSualebebsac iyenebda

42. nini eZebs kinofirs, romelzec animaciuri filmia Cawerili. magidaze devs sami kolofi: I, II da III. erTSi kinofiria, danarCeni ori kolofi ki carielia. kolofebs aweria: I _ es kolofi carielia. II _ rasac eZebT, aq devs. III _ II kolofi carielia.

warwerebidan mxolod erTi Seesabameba simarTles. romel kolofSi devs

kinofiri?

(a) I-Si (b) II-Si (g) III-Si (d) am kiTxvaze pasuxis gasacemad monacemebi araa sakmarisi

16

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

TamaSi bavSvis qcevis erT-erTi ZiriTadi formaa da misi fsiqofizikuri

ganviTarebis safuZvels warmoadgens. amitom sakvirveli araa, rom es fenomeni

mkvlevarTa gansakuTrebul yuradRebas ipyrobs. TamaSis arsis gasarkvevad araerTi

Teoria Seiqmna. uiliam Sternis Tanaxmad, isini SeiZleba pirobiTad davyoT

`awmyos~, `warsulisa~ da `momavlis~ Teoriebad.

awmyos Teoriebidan erT-erTi pirveli herbert spenserma SeimuSava. misi azriT,

bavSvs gacilebiT meti energia aqvs imasTan SedarebiT, rac cxovrebiseuli

amocanebis gadaWrisas sWirdeba. bunebrivia, Cndeba zedmeti energiisgan gantvirTvis

aucilebloba. spenseris azriT, gantvirTva swored TamaSis procesSi xdeba: TamaSi

aris organizmSi dagrovili Warbi energiis xarjva winaswar gansazRvruli miznis

gareSe. magram vinaidan bavSvis TamaSs yovelTvis aqvs garkveuli Sinaarsi, spenseri

iZulebulia amis asaxsnelad, `Warbi energiis~ cnebasTan erTad, `mibaZvis~ cnebasac

mimarTos: bavSvi mimbaZveli arsebaa, misi TamaSis Sinaarsi didebis saqmianobis,

sxvadasxva aqtivobis mibaZvis safuZvelze iqmneba. amiT aixsneba, rom bavSvi cxenobanas

TamaSobs, `saxlebsa~ da `koSkebs~ agebs da a.S.

stenli holis Teoriis mixedviT, bavSvobis periodSi TamaSis formiT

qronologiuri TanmimdevrobiT vlindeba is tendenciebi, romlebic damaxasiaTebeli

iyo kacobriobis kulturuli ganviTarebis sxvadasxva safexurisTvis. TamaSi bavSvs

adamianTa modgmis kulturul-istoriuli warsulis rekapitulaciis* saSualebas

aZlevs. Sesabamisad, TamaSi ufro warsulis – ara sakuTari, aramed kacobriobis warsulis – aracnobier mogonebas warmoadgens, vidre _ fantaziis produqts.

karl groosi TamaSis fenomens momavlis interesebs ukavSirebs. bavSvi TamaSis

procesSi swored im Zalebs aamoqmedebs, romlebsac adamiani seriozuli saqmianobis

dros mimarTavs xolme. rodesac patara gogona Tojinas uvlis da ealerseba, es

imave tendenciebis gamovlinebad unda miviCnioT, romlebic mozrdili adamianis mier

Svilis movlisas iCens Tavs. TamaSis procesSi xdeba gavarjiSeba Zalebisa, romlebic

bavSvs momavalSi cxovrebiseuli amocanebis gadasawyvetad dasWirdeba. TamaSis

meSveobiT bavSvi momavlisTvis emzadeba.

TamaSis arsis asaxsnelad principulad gansxvavebul midgomas gvTavazobs dimitri

uznaZe. misi Teoriis Tanaxmad, adamians memkvidreobiT eZleva garkveuli funqciebi

(Sinagani SesaZleblobebi), romlebsac igi adreuli bavSvobis asakSi ver iyenebs,

radgan mis sasicocxlo moTxovnilebebze, ZiriTadad, ufrosebi zrunaven. Tumca,

meore mxriv, SeuZlebelia, organizms raime funqcia hqondes da ar xdebodes misi

realizeba: `yoveli cocxali organizmis bunebriv mdgomareobas moZraoba, aqtivoba

warmoadgens... ama Tu im funqciis arseboba bunebrivad mis moqmedebas, mis aqtivobas

gulisxmobs~. organizmis aqtivobis bunebriv moTxovnilebas uznaZe `funqcionalur

tendencias~ uwodebs. TamaSi swored funqcionaluri tendenciis gamovlinebaa. am

tendenciiT aixsneba bavSvis aqtivoba maSin, rodesac mas realurad gasakeTebeli

araferi aqvs, rodesac mniSvnelovania aqtivoba, rogorc procesi da ara misi

Sedegi. TamaSis Sinaarsic gansazRvrulia im funqciebiT, romlebic adamianis

saqmianobis procesSi filogeneturad** Camoyalibda.

*rekapitulacia _ gameoreba Zalze mokled; Soreuli winaprebis niSan-TvisebaTa gameoreba

Tanamedrove organizmSi, mis struqturaSi, funqciebSi da a.S.

**filogenezi _ cocxali organizmebis saxeobaTa ganviTarebis procesi.

17

43. TamaSma mecnierTa gansakuTrebuli yuradReba miipyro, radgan:

(a) TamaSi Tavisi SinaarsiT rogorc awmyos, aseve warsulsa da momavals

ukavSirdeba

(b) TamaSi bavSvis ganviTarebis erT-erTi mniSvnelovani xelSemwyobi faqtoria

(g) TamaSi adamianis fsiqofizikuri ganviTarebis ZiriTad formas warmoadgens

(d) TamaSis safuZvelze SesaZlebeli xdeba bavSvis qcevis formebis dadgena

44. qvemoT CamoTvlilTagan romel winadadebaSia warmodgenili bavSvis TamaSis ganmapirobebeli faqtori? (upasuxeT II abzacis mixedviT)

(a) TamaSis dros organizmi Tavisufldeba zedmeti energiisgan

(b) ufrosebis sxvadasxva tipis aqtivoba bavSvis TamaSis mravalferovnebis

safuZvelia

(g) winaswar dasaxuli miznis ararsebobis gamo bavSvi iZulebulia daxarjos

Warbi energia

(d) TamaSis Sinaarsi ufrosebis qcevaze dakvirvebiTaa gansazRvruli

45. winadadebaTa romel wyvilSia asaxuli movlenaTa mizezSedegobrivi kavSiri?

(a) TamaSs yovelTvis aqvs garkveuli Sinaarsi _ gantvirTva swored TamaSis

procesSi xdeba

(b) TamaSs yovelTvis aqvs garkveuli Sinaarsi _ TamaSis Sinaarsi didebis

saqmianobis mibaZvis safuZvelze iqmneba

(g) bavSvi mimbaZveli arsebaa _ misi TamaSis Sinaarsi didebis saqmianobis mibaZvis

safuZvelze iqmneba

(d) bavSvi mimbaZveli arsebaa _ gantvirTva swored TamaSis procesSi xdeba

46. `cxenobanas~ TamaSisas bavSvi ubralo joxs cxenad warmoidgens. holis

Teoriis romeli debulebis sapirispirod SeiZleba gamoviyenoT es magaliTi?

(a) TamaSSi vlindeba is tendenciebi, romlebic damaxasiaTebelia kacobriobis

ganviTarebis sxvadasxva etapisTvis

(b) TamaSis formiT bavSvi imeorebs kacobriobis mier ganvlil kulturul-

istoriul gzas

(g) TamaSi aris ara imdenad warmosaxvis, ramdenadac aracnobieri mogonebis

Sedegi

(d) TamaSi ara sakuTari, aramed kacobriobis warsulis rekapitulaciis

saSualebaa

18

47. groosis Teoriis safuZvelze SeuZlebelia upasuxo kiTxvas, cxovrebiseuli amocanebis gadasawyvetad saWiro ra Zalebis gavarjiSeba xdeba, rodesac TamaSisas

bavSvi ganasaxierebs:

(a) jariskacs, romelic Tavisi Tanatoli `mxedarTmTavris~ brZanebebs asrulebs

(b) pacients, romelsac misi Tanatoli eqimi fonendoskopiT sinjavs

(g) skolis moswavles, romelic Tavis Tanatol `maswavlebels~ gakveTils uyveba

(d) Svils, romelsac misi Tanatoli `deda~ aZinebs da iavnanas umReris

48. qvemoT CamoTvlilTagan romeli gadmoscems TamaSis ZiriTad arss, uznaZis koncefciis mixedviT?

(a) rac ufro metad zrunaven ufrosebi bavSvis sasicocxlo moTxovnilebebis

dasakmayofileblad, miT ufro xSirad iCens Tavs mis aqtivobaSi

funqcionaluri tendencia

(b) radgan bavSvis ZiriTad moTxovnilebaTa dakmayofilebaze ufrosebi zrunaven,

misi Tandayolili funqciebi SesaZloa ararealizebuli darCes; TamaSi swored

am funqciaTa realizebis saSualebaa

(g) miuxedavad imisa, rom bavSvs memkvidreobiT gadaecema garkveuli funqciebi,

romlebic TamaSis Sinaarss gansazRvravs, sxvadasxva mizezis gamo is ver

axerxebs maT amoqmedebas

(d) radgan bavSvi mxolod TamaSis dros iyenebs im funqciebs, romlebic mas

filogeneturad gadaecema, adreuli bavSvobis asakSi ar xdeba am funqciaTa

srulad realizeba

49. qvemoT CamoTvlilTagan romeli ar dasturdeba teqstSi?

I. spenserisa da uznaZis Tanaxmad, TamaSisas mniSvnelovania aqtivoba, rogorc

procesi, da ara misi Sedegi, Tumca, erT SemTxvevaSi esaa zedmeti energiisgan

ganTavisufleba, xolo meoreSi – aqtivobis moTxovnilebis dakmayofileba II. spenserisa da groosis Tanaxmad, bavSvis TamaSis Sinaarsi ufrosebis

saqmianobas mogvagonebs, oRond erT SemTxvevaSi bavSvi am dros winaswar

gansazRvruli miznis gareSe moqmedebs, xolo meoreSi – cxovrebiseuli amocanebis gadasawyvetad emzadeba

III. groosisa da uznaZis Tanaxmad, TamaSis Sinaarsi ganpirobebulia adamianis

mzadebiT seriozuli saqmianobisTvis, Tumca, erT SemTxvevaSi TamaSi jer kidev

arasakmarisi Zalebis gavarjiSebaa, xolo meoreSi _ organizmis filogeneturi

ganviTarebis Sedegi

(a) mxolod I

(b) I da II

(g) II da III

(d) mxolod III

19

50. ra mimarTebaa I abzacsa da danarCen abzacebs Soris?

(a) I abzacSi gamokveTilia bavSvis TamaSis mniSvneloba, xolo danarCenebSi

ganxilulia TamaSis sxvadasxva aspeqti

(b) I abzacSi saubaria TamaSis Teoriebis klasifikaciaze, xolo danarCenebSi

moyvanilia amgvari klasifikaciis nimuSebi

(g) I abzacSi ganmartebulia bavSvis TamaSis arsi da miniSnebulia TamaSis

Teoriebis klasifikaciis principi, xolo danarCenebSi mimoxilulia sxvadasxva

Teoriis ZiriTadi debulebebi

(d) I abzacSi dasaxelebulia TamaSis TeoriaTa ramdenime jgufi, xolo

danarCenebSi miTiTebulia TiToeuli maTganis dadebiTi da uaryofiTi

aspeqtebi

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.

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

53.

marTkuTxedis sigrZea 40 sm, sigane _ 30 sm.

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

54.

internetkafeSi kompiuterTan muSaobis yoveli saaTi-

sTvis gadasaxadi 15.00 sT-dan 21.00 sT-mde 2 laria,

xolo sxva dros _ 1 lari. arCili internetkafeSi 3 dRe dadioda da yoveldRiurad 6 saaTis ganmav-lobaSi muSaobda kompiuterTan.

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

55.

y metia a-ze 12-iT, xolo b naklebia y-ze.

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

1231 km 1,25 km

31-ze naklebi kenti naturaluri

ricxvebis raodenoba

31-ze naklebi luwi naturaluri

ricxvebis raodenoba

am marTkuTxedis

diagonalis sigrZe 60 sm

arCilis mier

gadasaxdeli Tanxa 38 lari

ba

23

56.

M wertili ABC samkuTxedis AB gverdze mdebareobs, N wertili ki _ BC gverdze.

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

57.

a da b dadebiTi ricxvebia. a-s 73 nawili b-s

85 nawilis tolia.

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

58.

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

amocanebi

59. =−−−++

6100110021003150115021503

(a) 200 (b) 250 (g) 300 (d) 350 (e) 400

60. Tu 32 −= xy da 32 −= yx , maSin x = (a) 1 (b) 2 (g) 3 (d) 4 (e) 5

∠A + ∠BMN ∠C + ∠BNM

a b

xz 0

0,0 >> yzxy

24

61. marTkuTxa sakoordinato sibrtyeze mocemuli ABCD marTkuTxedis gverdebi sakoordinato RerZebis parale-

luria. A da C wertilebis koordinatebi miTiTebulia naxazze. risi tolia D wertilis koordinatebis jami? (a) –7 (b) –2 (g) 1 (d) 4 (e) 5

62. Tu yxxy =+ , maSin =x

(a) 1+y

y

(b) 1−y

y

(g) y

y 1+

(d) y

y 1−

(e) 11+−

yy

monacemTa analizi

cxrilSi warmodgenilia ekonomikuri ganviTarebis saministros statistikis de-

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

qarTveloSi importirebuli sxvadasxva produqciis Rirebuleba 2001-2006 wlebSi.

2001 2002 2003 2004 2005 2006 xorbali 14 20 28 75 45 99

puris fqvili 26 8,8 9,8 49 45 30 brinji 0,1 0,7 0,4 2,1 1,7 3,4 Saqari 24 35 53 51 78 66 karaqi 1,3 1,4 1,9 5,1 7,7 11

margarini 2,4 2,4 2,4 4,7 6,5 9 mcenareuli zeTi 4,5 3,2 3,6 17 23 24

bostneuli 6,2 2,4 3,1 3,5 4,5 18 xili 2,5 2,7 2,8 5,3 4,5 8,6

kvercxi 2,4 1,4 2 4,4 4,3 4,2 cxrilis mixedviT upasuxeT Semdeg oTx SekiTxvas:

25

63. romel wels iyo saqarTveloSi importirebuli bostneulisa da xilis saer-To Rirebuleba 2-jer meti imave wels importirebuli kvercxis Rirebulebaze? (a) 2001 (b) 2002 (g) 2003 (d) 2004 (e) 2005 64. CamoTvlilTagan romel wels Semcirda importirebuli brinjis Rirebuleba 300 aTasi dolariT (wina welTan SedarebiT)? (a) 2002 (b) 2003 (g) 2004 (d) 2005 (e) 2006 65. karaqi, margarini da mcenareuli zeTi cximovani produqtebis jgufs

miekuTvneba. saqarTveloSi 2006 wels importirebuli cximovani produqtebis

Rirebulebis ramden procents Seadgenda imave wels importirebuli karaqis

Rirebuleba? (a) 20% (b) 25% (g) 30% (d) 35% (e) 40% 66. CamoTvlilTagan romeli winadadebaa marTebuli, cxrilis mixedviT? (a) saqarTveloSi importirebuli karaqis Rirebuleba yovel wels naklebi iyo

imave wels importirebuli margarinis Rirebulebaze

(b) saqarTveloSi importirebuli Saqris Rirebuleba yovel wels aRemateboda

imave wels importirebuli xorblis Rirebulebas

(g) 2002-2006 wlebSi saqarTveloSi importirebuli puris fqvilis Rirebuleba yovelwliurad izrdeboda

(d) yovel wels, dawyebuli 2002-dan, saqarTveloSi importirebuli xilis

Rirebuleba, wina welTan SedarebiT, ar iklebda

(e) yovel wels, dawyebuli 2002-dan, saqarTveloSi importirebuli margarinis Rirebuleba, wina welTan SedarebiT, ar iklebda

26

amocanebi

67. =+652

831

(a) 1483

(b) 48153

(g) 2454

(d) 744

(e) 4885

68. tolujredebian badeze moniSnuli A, B, C da D wertilebi erTmaneTTan SeerTebulia texili xazebiT, romelTa wveroebi badis kvanZebs emTxveva

(ix. naxazi). A da B wertilebis SemaerTebeli texilis sigrZea 450 m. ramdeni metria C da D wertilebis SemaerTebeli texilis sigrZe?

(a) 500 (b) 550 (g) 600 (d) 650 (e) 700

69. Tu qalaqis mosaxleobis raodenoba a aTasis tolia da igi yovelwliurad k%-iT izrdeba, maSin n wlis Semdeg am qalaqis mosaxleobis raodenoba q (aTasebSi)

gamoiTvleba formuliT: ( )nkaq 1001+= .

qalaqis mosaxleobis raodenoba 100 aTasis tolia. ramdeni aTasis toli iqneba am qalaqis mosaxleobis raodenoba 2 wlis Semdeg, Tu igi yovelwliurad 10%-iT gaizrdeba?

(a) 115 (b) 118 (g) 119 (d) 120 (e) 121

70. qvemoT CamoTvlilTagan romlis mniSvnelobaa kenti, n-is nebismieri naturaluri mniSvnelobisaTvis? (a) 205n (b) 3n + 205 (g) 7n (d) n + 205 (e) 2n + 205

27

71. nikam 4 toli CxiriT kvadrati Seadgina, Semdeg 3 iseTive Cxiris gamoyenebiT am kvadrats meore kvadrati miadga, Semdeg isev 3 Cxiris gamoyenebiT meore

kvadrats mesame kvadrati miadga da ase moiqca kidev 10-jer. sul ramdeni Cxiri gamouyenebia nikas? (a) 36 (b) 40 (g) 44 (d) 48 (e) 52

72. safexburTo turnirSi monawileobs n gundi. TiToeul gundSi fexburTe-lebis raodenoba 4-iT metia gundebis raodenobaze. risi tolia turnirSi

monawile fexburTelTa raodenoba? (a) n + 4 (b) 2n + 4 (g) 4n (d) 4(n + 4) (e) n(n + 4)

73. muzeumi frangma, germanelma da ingliselma turistebma daaTvalieres. maTgan 24 turisti frangi iyo. germaneli turistebis raodenobis Sefardeba frangebis raodenobasTan

34-is tolia, xolo ingliselebis raodenobasTan _

32-isa.

muzeumis damTvalierebeli turistebidan ramdeni iyo ingliseli? (a) 16 (b) 32 (g) 48 (d) 54 (e) 60

74. ramdeni cali aguri dasWirdeba iseTi kedlis aSenebas, romlis sigrZea 20 m, sigane _ 0,5 m, simaRle _ 2 m, Tu yoveli kuburi metri kedlis aSenebas

sWirdeba 600 cali aguri? (a) 24 aTasi (b) 21 aTasi (g) 18 aTasi (d) 15 aTasi (e) 12 aTasi

75. avtosadguridan avtobusi 10.00 sT-ze gavida, mikroavtobusi ki imave mimar-TulebiT _ 11.30 sT-ze. orive Seuferxeblad, Tanabari siCqariT moZraobda:

avtobusis siCqare iyo 60 km/sT, xolo mikroavtobusisa _ 90 km/sT. romel

saaTze daeweva mikroavtobusi avtobuss? (a) 13.00 (b) 13.30 (g) 14.00 (d) 14.30 (e) 15.00

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.

wrewiris diametris sigrZe 4 sm-is tolia.

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

77.

nebismieri a, b da c ricxvebisTvis ( ) cbacba −+=*,, .

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

78.

Tvis ganmavlobaSi benzinis fasi orjer Seicvala:

benzini jer gaiafda 10%-iT, Semdeg gaZvirda 10%-iT.

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

79. samkuTxedis erTi gverdis sigrZea 3 sm, meoresi _ 7 sm. (a) (b) (g) (d)

80.

1 kg vaSli 1 lari Rirs, 1 kg atami _ 2 lari,

xolo 1 kg marwyvi _ 5 lari. giorgim Tanxis naxev-riT vaSli iyida, meore naxevriT ki _ marwyvi.

daTom amave odenobis TanxiT mxolod atami iyida.

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

am wrewiris sigrZe 12 sm

( )*,,2 aba ( )*,2, bba

benzinis fasi Tvis

dasawyisSi

benzinis fasi Tvis

bolos

am samkuTxedis perimetri 12 sm

giorgis mier nayidi

xilis wona

daTos mier nayidi

xilis wona

29

81.

ricxvTa RerZze mocemulia dadebiTkoordinatebiani

wertilebi: A, B da C. A-s koordinati 2-jer naklebia B-s koordinatze da 3-jer naklebia C-s koordinatze.

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

82.

regionSi, romelSic mxolod ori _ A da B _

Rvinis qarxanaa, amzadeben mSral da tkbil Rvinoebs.

mSrali Rvinoebi mzaddeba orive qarxanaSi, xolo

tkbili _ mxolod A qarxanaSi. diagramebze

mocemulia, wlis ganmavlobaSi damzadebuli Rvinis

raodenobis ramden

procents Seadgen-

da mSrali da

tkbili Rvinoebis

raodenoba A qarxanaSi da

mTlianad regionSi.

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

amocanebi

83. n nebismieri naturaluri ricxvia. vTqvaT, ∗n aRniSnavs n-is yvela kenti gamyofis jams. magaliTad,

∗30 = 1 + 3 + 5 + 15 = 24. risi tolia

∗−∗ 1825 ? (a) 2 (b) 7 (g) 16 (d) 18 (e) 21

AB monakveTis sigrZe BC monakveTis sigrZe

B qarxanaSi wlis ganmavlobaSi

damzadebuli mSrali

Rvinoebis raodenoba

A qarxanaSi wlis ganmavlobaSi

damzadebuli mSrali

Rvinoebis raodenoba

30

84. E da F wertilebi ABCD marTkuTxedis BC da AD gverdebis Suawertilebia, M wertili ki EF monakveTis Suawertilia. risi tolia ABCD marTkuTxedis farTobi, Tu AMD samkuTxedis farTobia 2,5 sm2?

(a) 5 sm2

(b) 8 sm2

(g) 10 sm2

(d) 12 sm2

(e) 15 sm2

85. Tu erTmaneTisgan gansxvavebuli a da b ricxvebis saSualo ariTmetikuli x -is tolia, maSin =− ax2

(a) b (b) a (g) ab −2

(d) ba −

(e) ba −2

86. ricxvi a metia 4-ze, magram naklebia 5-ze, xolo ricxvi b metia –3-ze, magram naklebia –2-ze. CamoTvlilTagan romlis toli SeiZleba iyos ba − ?

(a) –2,7 (b) 3,2 (g) 5,4 (d) 6,8 (e) 8,2

monacemTa analizi

diagramaze mocemulia, ramden milions Seadgenda mosaxleobis raodenoba flori-

dis, jorjiisa da alabamas StatebSi 1950-2000 wlebSi.

31

diagramis mixedviT upasuxeT Semdeg oTx SekiTxvas:

87. ramdeni milioniT meti iyo mosaxleobis raodenoba floridis StatSi alabamas StatTan SedarebiT 1970 wels? (a) 2 (b) 3 (g) 4 (d) 5 (e) 6 88. mosaxleobis raodenoba floridis StatSi 1970 wels, 1960 welTan SedarebiT, gaizarda:

(a) 2%-iT (b) 20%-iT (g) 30%-iT (d) 40%-iT (e) 50%-iT 89. CamoTvlilTagan romel wels iyo floridisa da jorjiis Statebis mosaxleobis raodenobaTa saSualo ariTmetikuli alabamas Statis mosaxleobis

raodenobaze 3-jer meti? (a) 1960 (b) 1970 (g) 1980 (d) 1990 (e) 2000 90. CamoTvlilTagan romeli winadadebaa marTebuli, diagramis mixedviT? (a) 1950-2000 wlebSi rogorc floridis, aseve jorjiis StatSi mosaxleobis raodenoba yovelwliurad izrdeboda

(b) 1950-2000 wlebSi jorjiis StatSi mosaxleobis raodenoba ar mcirdeboda, alabamas StatSi ki _ ar izrdeboda

(g) mosaxleobis raodenoba jorjiis StatSi yovelTvis meti iyo alabamas

StatTan SedarebiT, magram yovelTvis naklebi _ floridis StatTan SedarebiT

(d) mosaxleobis raodenoba alabamas StatSi yovelTvis naklebi iyo rogorc

jorjiis, aseve floridis StatTan SedarebiT

(e) mosaxleobis raodenoba floridis StatSi yovelTvis meti iyo, vidre _

jorjiisa da alabamas StatebSi erTad

32

amocanebi

91. ramdeniT Semcirdeba sxvaobis mniSvneloba, Tu saklebs 4,9-iT SevamcirebT, maklebs ki 2,5-iT gavzrdiT?

(a) 2,4-iT (b) 2,5-iT (g) 4,9-iT (d) 7,4-iT (e) 9,9-iT

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

brundeba. ramdeni gradusiT Semobrundeba saaTebis maCvenebeli isari 4 saaTSi? (a) 90° (b) 100° (g) 120° (d) 135° (e) 145°

93. banki klients wlis bolos uricxavs Cveulebriv anabarze arsebuli Tanxis 7%-s, xolo vadian anabarze arsebuli Tanxis 15%-s. daviTs sul 600 lari

hqonda. man am Tanxis nawili Cveulebriv anabarze Seitana, danarCeni ki _ vadian

anabarze. wlis bolos bankma daviTs orive anabarze erTad 58 lari dauricxa. ramdeni lari Seutania daviTs vadian anabarze? (a) 180 (b) 200 (g) 240 (d) 280 (e) 300

94. gaiafebis Semdeg 15 cali CurCxela imdenive Rirda, ramdenic Rirda 12 cali CurCxela gaiafebamde. ramdeni procentiT gaiafebula CurCxela? (a) 5%-iT

(b) 10%-iT

(g) 15%-iT

(d) 20%-iT

(e) 30%-iT

33

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

ramdeni gradusia β kuTxis sidide? (a) 60° (b) 70° (g) 80° (d) 90° (e) 100°

96. mimdevrobis pirveli wevria 2020, yoveli momdevno wevri ki wina wevrze 1,5-jer metia. am mimdevrobis sul ramdeni wevria 7000-ze naklebi?

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

97. b = 412 + 612. romeli cifriT bolovdeba b ricxvis cifruli Canaweri?

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

98. mocemulia ricxvebis ori sveti (ix. naxazi). pirveli svetis TiToeul ricxvs akleben meore svetis

TiToeul ricxvs. ramden gansxvavebuli mniSvnelobis

mqone sxvaobas miiReben sul? (a) 7 (b) 9 (g) 10 (d) 17 (e) 20

10 2 11 3 12 4 13 5 14 15

34

99. marTkuTxedi dayofilia tol kvadratebad, romelTagan zogierTi gamuqebulia (ix. naxazi).

marTkuTxedis gaumuqebeli nawilis farTobi

marTkuTxedis farTobi

(a) 103

(b) 32

(g) 52

(d) 73

(e) 109

100. k da n iseTi naturaluri ricxvebia, rom k-s n-ze gayofisas miRebuli naSTi (n – 7)-is tolia. risi toli iqneba (2k + 11)-is n-ze gayofisas miRebuli naSTi?

(a) n – 7 (b) n – 5 (g) n – 3 (d) n – 1 (e) n

=