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. prologi : romani

(a) simi : violino

(b) zRurbli : saxli

(g) CarCo : suraTi

(d) qvevri : marani

2. temperatura : gradusi

(a) kacobrioba : dinastia

(b) kosmosi : planeta

(g) dro : saukune

(d) sivrce : horizonti

3. xumroba : enamaxvili

(a) datuqsva : dasjili

(b) daJineba : jiuti

(g) ampartavneba : Tavmdabali

(d) monanieba : mimtevebeli

4. xaWo : rZe

(a) koconi : fiCxi

(b) Wa : wyali

(g) urika : tvirTi

(d) Saqari : muraba

2

5. wamali : medikamenti

(a) cvari : nami

(b) aguri : saxli

(g) Tiva : zvini

(d) Canaxati : naxati

6. Tovli : nakvalevi

(a) qalaqi : naqalaqari

(b) buxari : nacari

(g) mdinare : navi

(d) sxeuli : nakawri

7. nakrZali : nadiri

(a) samWedlo : iaraRi

(b) sabado : qvanaxSiri

(g) sasaxle : galavani

(d) muzeumi : ganZi

8. jejili : puris yana

(a) moswavle : maswavlebeli

(b) mSobeli : Svili

(g) Wabuki : mamakaci

(d) qali : mandilosani

3

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. anbanis yoveli asoniSani grafikuli figuraa da am figurebis moxazuloba _____ , rom Tvali mkafiod da Tavisuflad _____ . magram, amave dros, es

figurebi anu asoniSnebi erTmaneTTan garkveul _____ amJRavneben, rac imis

mimaniSnebelia, rom TiToeuli asos moxazuloba anbanis _____ eqvemdebareba.

(a) imdenad emsgavseba erTmaneTs / ver aRiqvams maT msgavsebas / msgavsebasac /

erTian grafikul sistemas

(b) odnav gansxvavdeba erTmaneTisgan, ise / ganasxvavebs maT / sxvaobasac /

sxvadasxva grafikul sistemas

(g) imdenad gansxvavdeba erTmaneTisgan / aRiqvams maT sxvaobas / msgavsebasac /

erTian grafikul sistemas

(d) ise emsgavseba erTmaneTs / ganarCevs maT erTmaneTisgan / msgavsebasac /

sxvadasxva grafikul sistemas

10. Tu marTlac vaRiarebT _____ , romlebic adamianis uflebebis konvenciis safuZvels warmoadgens, _____ dRevandel ekonomikur _____ da msoflio

resursebis _____ gzebi unda gamovnaxoT.

(a) Tanasworobis principebs / unda davxuWoT Tvali / uTanasworobaze /

Tanabrad ganawilebis

(b) korufciis principebs / aRar unda davxuWoT Tvali / Tanasworobaze /

samarTliani ganawilebis

(g) humanizmis principebs / unda davxuWoT Tvali / aRmavlobaze / araTanabrad

ganawilebis

(d) Tanasworobis principebs / aRar unda davxuWoT Tvali / uTanasworobaze /

samarTliani ganawilebis

4

11. _____ , rom momxsenebeli oratoruli niWiT _____ , man _____ daemala am sakiTxis arcodna. Tumca, moxsenebis damTavrebis Semdeg mis mimarT _____ ,

radganac msmenelebs Soris _____ .

(a) imis wyalobiT / gamoirCeoda / SeZlo / ar gaisma uaryofiTi Sefasebebi /

bevri mixvda, rom misi gamosvla warumatebeli iyo

(b) miuxedavad imisa / gamoirCeoda / ver SeZlo / mxolod ramdenime kritikuli

SeniSvna gaisma / bevri misi megobari imyofeboda

(g) imis wyalobiT / ar gamoirCeoda / SeZlo / gaisma dadebiTi Sefasebebi / am

sakiTxis bevri kargi specialisti imyofeboda

(d) miuxedavad imisa / ar gamoirCeoda / ver SeZlo / gaisma damcinavi SeZaxilebi /

am sakiTxis bevri kargi mcodne imyofeboda

12. Zalauflebisaken ltolva politikuri aqtivobis _____ motivia, _____ , sazogadoebaSi damkvidrebuli Sexeduleba, TiTqos Zalaufleba

politikosebisaTvis _____ monapovaria, _____ .

(a) mniSvnelovani / Tumca / arc Tu sasurveli / mcdaria

(b) araarsebiTi / miuxedavad amisa / sruliad umniSvnelo / sworia

(g) ZiriTadi / Sesabamisad / yvelaze sasurveli / sworia

(d) arsebiTi / aqedan gamomdinare / yvelaze mniSvnelovani / mcdaria

13. dedamiwaze SemorCenili cocxali organizmebis gadasarCenad mecnierebma

gadawyvites, _____ yvela is teritoria, romlebic "gadaudebel daxmarebas" saWiroebs; _____ bunebis damcvelTa ZiriTadi Zalisxmeva mimarTon swored am

"cxeli wertilebis" _____ .

(a) daicvan / xolo Semdeg / gamoyofisken

(b) moiZion / manamde ki / dacvisken

(g) daicvan / sabolood ki / moZiebisken

(d) gamoyon / xolo Semdeg / dacvisken

5

logika

am saxis davalebebi gansxvavdeba erTmaneTisgan winaswari monacemebisa da

gamosatani daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieT

SekiTxvas, romelic axlavs TiToeul davalebas da mocemuli variantebidan

airCieT Sesabamisi pasuxi.

zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxva

naxazis formiT.

14. studentebTan gasaubrebis Semdeg leqtorma, romelmac unda Caataros

gamocda, gamoTqva varaudi:

• am studentTagan sul mcire sami amoxsnis yvela amocanas.

gamocdis Semdeg SeiZleba iTqvas, rom leqtoris varaudi gamarTlda, Tu:

(a) verc erTma studentma ver amoxsna yvela amocana

(b) yvela amocana amoxsna mxolod erTma studentma

(g) yvela amocana amoxsna mxolod orma studentma

(d) yvela amocana amoxsna oTxma studentma

15. daxurul yuTSi devs burTi an kubi. daTuna, Tako da luka gamoTqvamen varaudebs imis Sesaxeb, Tu: 1. ra sagania

moTavsebuli yuTSi da 2. ra ferisaa es sagani

• daTuna ambobs, rom yuTSi moTavsebuli sagani: 1. burTia; 2. yviTelia

• Tako ambobs, rom yuTSi moTavsebuli sagani: 1. burTia; 2. wiTelia

• luka ambobs, rom yuTSi moTavsebuli sagani: 1. kubia; 2. mwvanea

yuTis gaxsnis Semdeg aRmoCnda, rom yoveli gamoTqmuli varaudis mxolod erTi

nawilia WeSmariti. ra devs yuTSi da ra ferisaa is?

(a) wiTeli burTi

(b) mwvane kubi

(g) mwvane burTi

(d) yviTeli kubi

6

16. qarxnis xelmZRvanelobis gadawyvetilebiT, muSebs moemataT xelfasi. xelfasis momatebidan erT TveSi qarxnis produqciis warmoeba, wina periodTan SedarebiT,

sagrZnoblad gaizarda.

am informaciis safuZvelze gamoiTqva varaudi, rom:

qarxnis produqciis warmoebis zrda muSebisaTvis xelfasis momatebis Sedegia.

qvemoT CamoTvlilTagan romeli faqti ayenebs eWvqveS am varauds?

(a) am TveSi xelfasis momatebis gamo muSebi ufro mondomebiT Sromobdnen da

samuSao drois gasvlis Semdegac rCebodnen qarxanaSi

(b) am TveSi qarxanas daubrundnen saukeTeso muSakebi, romlebic kvalifikaciis

amaRlebis grZelvadian kursebze imyofebodnen

(g) am TveSi qarxnis danadgarebi Secvales axlebiT, romlebic winandelebze

uaresi aRmoCnda

(d) am TveSi qarxanaSi kvalifikaciis asamaRleblad movida axalbeda muSaTa jgufi,

romelTa daostatebaze qarxnis muSebi bevr drosa da energias xarjavdnen

17. magidas oTxi mxridan usxedan Tiko, mixo, lizi da anika. erT-erTi maTgani agrovebs monetebs, meore agrovebs kalmistrebs, mesame _ kenWebs, meoTxe _

niJarebs. anikas marcxniv zis is, vinc agrovebs monetebs, marjvniv ki _ lizi,

romelic arc niJarebs agrovebs da arc kalmistrebs. mixos marjvniv zis is, vinc

agrovebs kalmistrebs.

ras agrovebs Tiko?

(a) niJarebs

(b) kenWebs

(g) kalmistrebs

(d) monetebs

18. mocemulia: • Tu rezos waiyvanen eqspediciaSi, is ramdenime dRes mTaSi gaatarebs

• an rezos waiyvanen eqspediciaSi, an sofo gaemgzavreba zRvaze

• Tu sofo gaemgzavreba zRvaze, is Tavidan aicilebs erT usiamovno

Sexvedras

• sofom Tavidan ver aicila usiamovno Sexvedra

qvemoT CamoTvlilTagan romeli gamomdinareobs am debulebebidan aucileblad?

(a) rezo ar waiyvanes eqspediciaSi

(b) sofo gaemgzavra zRvaze

(g) rezom ramdenime dRe mTaSi gaatara

(d) rezom ramdenime dRe mTaSi gaatara, sofo ki zRvaze gaemgzavra

7

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT

(saWiroebis SemTxvevaSi SegiZliaT danomroT abzacebi).

XX saukunemde TiTqmis yvela mxatvari erT ZiriTad azrs iziarebda:

suraTis organzomilebian sibrtyeze samganzomilebiani sivrcis imgvari iluzia

unda Seiqmnas, TiTqos realur samyaroSi SeRebuli fanjaraao. magram XIX

saukunis 80-ian wlebSi frangma mxatvarma pol sezanma sivrcis gadmocemis axali

gzebis Zieba daiwyo, ramac mxatvrobisadmi sruliad axal midgomas daudo saTave.

sezani sagnebs, bunebas, misive TqmiT, "cilindrebis, sferoebisa da

konusebis" meSveobiT gamosaxavda. Suqisa da Crdilis nacvlad, suraTze siRrmis STabeWdilebas igi sxvadasxva feris "naWrebis" gverdigverd ganlagebiT qmnida. amas garda, sezani sagans xedvis sxvadasxva wertilidan xatavda, riTac realur,

"gamaerTianebel" perspeqtivas arRvevda. es gansakuTrebiT kargad Cans mis

naturmortebSi, sadac, magaliTad, erTsa da imave tiloze boTlis an Tasis zeda

nawili SeiZleba zeda wertilidan iyos danaxuli, xolo qveda nawili _ qvemodan.

magram es darRveva, erTi SexedviT, SeumCnevelia.

1907 wels parizSi gamarTul did gamofenaze axalgazrda mxatvrebma pablo

pikasom da JorJ brakma naxes sezanis namuSevrebi, romlebmac maTze waruSleli

STabeWdileba moaxdina. Semdgom am axalgazrdebma sezanis eqsperimentebi kidev

ufro ganaviTares. Tavis mxatvrul tiloebze sezani arRvevda realur sivrces,

pikasom da brakma ki saerTod uari Tqves sivrcis iluziis Seqmnaze. amis nacvlad

sxvadasxva dros da sxvadasxva kuTxiT danaxuli detalebi gaaerTianes. rodesac

erT-erTma kritikosma brakis suraTs _ "saxlebi estaqSi" _ "patara kubebis

grova" uwoda, am stilma Tavisi saxelic miiRo _ "kubizmi". kubizmis istoriaSi gamoyofen sam periods: e.w. "sezanurs", "analitikursa"

da "sinTezurs". "sezanuri" periodis kubistur tiloebze masiuri sagnebi TiTqos brtyel geometriul formebadaa daSlili. saganTa waxnagebi feris meSveobiT

ganirCeva erTmaneTisgan. kubizmis ganviTarebis am periodze gavlena moaxdina

afrikulma xelovnebamac, kerZod, skulpturam, romelsac axasiaTebs martivi

geometriuli formebi. Semdgom _ "analitikur" _ periodSi sagnis pirvandeli forma kidev ufro Znelad aRiqmeba, xdeba misi geometriuli struqturis

gamovlena, am struqturis Sesabamisad saganTa danawevreba martiv formebad da

Semdeg am nawilebisgan axali formis konstruireba. amasTanave, feri kargavs

funqcias, gamoiyeneba neitraluri, upiratesad ruxi, aseve _ moyavisfro,

momwvano ferebi. "sinTezur" periodSi ki kubisturi tiloebi met feradovnebas iZens, upiratesoba eniWeba dekoratiulobas, xdeba sxvadasxvagvari fragmentebisgan

_ sityvebis, cifrebis, notebis, gazeTis naglejebis, feradi qaRaldebis, sqematuri

naxatebis, minis namsxvrevebisgan _ obieqtis sinTezireba. amgvar nawarmoebs

"kolaJi" (frang. _ "dawebeba") ewoda. kubistebis mizani iyo realobis Semecneba _ saganTa Sinagani arsis

gamovlena axali saSualebebiT da gansxvavebuli, axali realobis Seqmna. rogorc

mogvianebiT aRmoCnda, es iyo yvelaze revoluciuri stili xelovnebis istoriaSi.

8

19. teqstis pirvel abzacSi saubaria:

(a) samyaros asaxvis im ZiriTad principebze, romlebic yvela mxatvrisTvis

saerTo iyo XX saukunemde, magram miuRebeli aRmoCnda maTTvis, vinc XIX

saukunis 80-ian wlebSi moRvaweobda

(b) im principis Sesaxeb, romlis mixedviTac XIX da XX saukunis mxatvrebi

suraTis organzomilebian sibrtyeze samganzomilebiani sivrcis iluzias

qmnidnen

(g) mxatvrobisadmi tradiciul midgomasa (samganzomilebiani sivrcis iluziis

Seqmna) da sivrcis gadmocemasTan dakavSirebuli eqsperimentis Sesaxeb

(d) sivrcis iluziis Seqmnis sezaniseul iniciativaze, rac gulisxmobda samyaros

asaxvas naturalisturi sizustiT

20. qvemoT CamoTvlilTagan romeli azria mcdari (upasuxeT II abzacis mixedviT)?

(a) sezanis erTsa da imave naturmortSi sagnis calkeuli nawilebi SeiZleba

sxvadasxva wertilidan iyos danaxuli

(b) suraTze samganzomilebiani sivrcis STabeWdilebas sezani qmnida Suq-

Crdilebis monacvleobiT

(g) sxvadasxva kompoziciis Seqmnas sezani cdilobda geometriuli formebis

meSveobiT

(d) sezani garesinamdviles Tavis tiloebze asaxavda cilindrebis, sferoebisa da

konusebis meSveobiT

21. pablo pikasom da JorJ brakma sezanis namuSevrebis daTvalierebis Semdeg:

(a) ugulebelyves sivrcis iluziis Seqmnis tradicia da sagnebs asaxavdnen

sxvadasxva droiTi da sivrculi perspeqtividan aRqmuli detalebis

gaerTianebiT

(b) sivrcis iluziis Seqmnis mizniT, daarRvies mxatvrobaSi damkvidrebuli

tradicia, romlis mixedviT yvelaferi erTi wertilidan unda yofiliyo

danaxuli

(g) xedvis sxvadasxva wertilidan sagnis daxatvis meSveobiT scades sezanis

mxatvruli teqnikis aTviseba

(d) kidev ufro ganaviTares sezanis eqsperimentebi da patara kubebis

gverdigverd ganlagebiT gaaZlieres siRrmis iluzia

9

22. qvemoT CamoTvlilTagan romeli axasiaTebs ufro zustad kubizmis e. w.

"sezanur" periods?

(a) feri kargavs funqcias, sagnebi geometriul formebad iSleba da Semdeg xdeba

axali geometriuli formis konstruireba

(b) upiratesoba eniWeba dekoratiulobas da masalis nairgvarobas; feris

meSveobiT erTmaneTisgan ganirCeva saganTa waxnagebi

(g) sxvadasxvagvari geometriuli formebisgan xdeba obieqtis sinTezireba,

mniSvnelovania sagnis realuri formis SenarCuneba

(d) feris meSveobiT erTmaneTisgan ganirCeva saganTa waxnagebi, sagnebi martiv

geometriul formebadaa daSlili

23. kubizmis meore _ "analitikur" _ periodSi xdeba:

(a) Sinagani struqturis Sesabamisad saganTa danawevreba da am nawilebisgan

axali formis konstruireba

(b) sagnis geometriuli struqturis gamovlena, ris Sedegadac misi pirvandeli

forma advilad aRiqmeba

(g) gansxvavebuli sagnebiT erTi mTliani struqturis mqone obieqtis

konstruireba

(d) sagnis pirvandeli formis rekonstruqcia da misi danawevreba martiv

formebad

24. riT gamoirCeoda kubizmis "sinTezuri" periodi misi ori winare etapisgan?

(a) tiloze obieqtis rekonstruirebisaTvis mxatvrebi iyenebdnen sxvadasxva

faqturisa da Seferilobis masalas

(b) dekoratiul tiloebze masiuri sagnebi brtyel geometriul formebadaa

daSlili

(g) gansakuTrebiT mkafiod igrZnoba afrikuli xelovnebis, kerZod, skulpturis

gavlena

(d) upiratesad gamoiyeneba neitraluri ferebi, rac Znelad aRsaqmels xdis

sagnis pirvandel formas

25. teqstis mizania gagvacnos:

(a) XIX-XX saukuneebis mxatvrobis ZiriTadi mimdinareobebi, maTi

gamomsaxvelobiTi saSualebebi da arsebiTi niSan-Tvisebebi

(b) kubizmis, rogorc mxatvruli mimarTulebis arsi, Camoyalibebis istoria,

ganviTarebis etapebi da mniSvneloba saxviT xelovnebaSi

(g) axali realobis Seqmnisa da saganTa Sinagani arsis gamovlenis

gamomsaxvelobiTi saSualebebi, romlebic specifikuria mxatvrobis sxvadasxva

JanrisTvis

(d) kubizmis aRmocenebis kulturuli wanamZRvrebi _ afrikuli, agreTve XIX-XX

saukuneebis evropuli saxviTi xelovnebis roli mis CamoyalibebaSi

10

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. adamiani : ZuZumwovari arseba

(a) gazeTi : Jurnali

(b) kvadrati : marTkuTxedi

(g) maisuri : qsovili

(d) kenwero : mwvervali

27. kompozitori : momRerali

(a) mwerali : personaJi

(b) balerina : mocekvave

(g) dramaturgi : msaxiobi

(d) mevioline : pianisti

28. Senoba : ngreva

(a) sabuTi : dakargva

(b) lxini : garToba

(g) riTma : galeqsva

(d) saidumlo : gamxela

29. javSani : usafrTxoeba

(a) mwvervali : dapyroba

(b) mze : gaTeneba

(g) pariki : gameloteba

(d) Termometri : daTboba

11

30. muTaqa : baliSi

(a) oqro : vercxli

(b) matyli : Zafi

(g) fanjara : mina

(d) jami : WurWeli

31. uremi : satvirTo avtomanqana

(a) qoxi : saxli

(b) Wraqi : naTura

(g) suraTi : foto

(d) samarTebeli : dana

32. frTxili : laCari

(a) moridebuli : mokrZalebuli

(b) mliqvneli : matyuara

(g) xelmomWirne : Zunwi

(d) pranWia : metiCara

33. kinokamera : kinoekrani

(a) isari : ciferblati

(b) maRazia : vitrina

(g) gamosaxuleba : sarke

(d) gazqura : TefSi

12

winadadebebis Sevseba

am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaa

gamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli.

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

savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlis

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

varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis

gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.

34. _____ gaugo ditos, romelsac _____ , rodesac maTematikis gamocdaze

arcTu _____ niSani miiRo, radganac is _____ niSnis miRebas varaudobda.

(a) Znelia / Zalze ewyina / maRali / ufro maRali

(b) Znelia / Zalze gauxarda / dabali / ufro dabali

(g) Zneli araa / Zalze gauxarda / maRali / ufro dabali

(d) Zneli araa / Zalze gauxarda / dabali / ufro maRali

35. ucnauria, magram homeopaTiuri medikamentebis _____ wyalSi maTi _____ da ara _ _____ .

(a) moqmedebis efeqtis gaZliereba / Semcirebuli odenobiT ganzavebis gziT xdeba /

maTi koncentraciis gazrdis saSualebiT

(b) xSiri moxmareba / Semcierebuli odenobiT ganzavebis dros SeiZleba / mcire

koncentraciis pirobebSi

(g) moqmedebis efeqtis Semcireba / didi odenobiT ganzavebis gziT xdeba /

koncentraciis gazrdis saSualebiT

(d) iSviaTi moxmareba / didi odenobiT ganzavebis drosaa Sedegis momtani /

Zlieri koncentraciis pirobebSi

36. azrovnebis procesi pirovnebis aqtiur, mizandasaxul moqmedebas warmoadgens. xolo rodesac Cven _____ raime sakiTxze, _____ Cven _____ , da ara _ _____ .

(a) vmsjelobT / maSin vacnobierebT Cvens warmodgenebsa da azrTa msvlelobas,

anu / vocnebobT / vazrovnebT

(b) vmsjelobT / maSin uneburad gvitacebs warmodgenaTa da azrTa msvleloba,

anu / vazrovnebT / vocnebobT

(g) ki ar vmsjelobT / aramed vacnobierebT Cvens warmodgenebsa da azrTa

msvlelobas, maSin / vazrovnebT / vocnebobT

(d) ki ar vmsjelobT / aramed uneburad gvitacebs warmodgenaTa da azrTa

msvleloba, maSin / vocnebobT / vazrovnebT

13

37. qveynis xelisufleba _____ qveynis teritoriuli mTlianobis aRdgenas,

_____ mas avtonomiuri respublikebis mxriv _____ .

(a) aqtiurad cdilobs / miuxedavad amisa, / mniSvnelovani dabrkolebebis

gadalaxva uwevs

(b) skeptikurad uyurebs / miuxedavad imisa, rom / araviTari winaaRmdegoba ar

eRobeba

(g) ver axerxebs / radganac / araviTari winaaRmdegoba ar eRobeba

(d) imediT Sehyurebs / radganac / mniSvnelovani dabrkolebebis gadalaxva

mouwevs

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. ganvixiloT debuleba: • yvelaferi, rac ar dagikargavs, gaqvs

qvemoT CamoTvlilTagan romeli ewinaaRmdegeba am debulebas, anu romeli arRvevs

mas?

(a) arsebobs raRac, rac ar dagikargavs da gaqvs, magaliTad, qudi, axla Tavze

rom gaxuravs

(b) arsebobs raRac, rac ar dagikargavs da ar gaqvs, magaliTad, avtomobili

"hameri" (g) arsebobs raRac, rac dakarge, magram mainc gaqvs, magaliTad, kalmistari,

romelic dakarge da mere ipove

(d) arsebobs raRac, rac dakarge da aRar gaqvs, magaliTad, babuis naCuqari saaTi

39. davuSvaT: • arseboben pedagogebi, romlebic warmatebiT asruleben TavianT samuSaos

• yvelas, vinc warmatebiT asrulebs Tavis samuSaos, aqvs maRali xelfasi

qvemoT CamoTvlilTagan romeli gamomdinareobs aucileblad am debulebebidan?

(a) yvela, vinc maRal xelfass iRebs, pedagogia

(b) zogierTi, vinc warmatebiT asrulebs Tavis samuSaos, ar aris pedagogi

(g) maRal xelfass mxolod is iRebs, vinc warmatebiT asrulebs Tavis samuSaos

(d) zogierTi pedagogi iRebs maRal xelfass

14

40. nikam waikiTxa Semdegi informacia:

• qalaqis ekologiuri mdgomareobis gauareseba avtomanqanebis momwamlavi

gamonabolqvis Sedegia

• avtomanqanis momwamlavi gamonabolqvi Zravis gaumarTaobis Sedegia

nikam imsjela garkveuli wesiT da am informaciis safuZvelze ucnauri daskvna

gamoitana:

avtomanqanebis Zravis gaumarTaoba qalaqis ekologiuri mdgomareobis gauresebis

Sedegia.

rogor daskvnas gamoitans nika Semdegi mtkicebebidan, Tu imsjelebs imave wesiT?

• moZraobis Seferxeba qalaqSi avtomanqanebis momravlebis Sedegia

• avtomanqanebis momravleba avtomanqanebis fasis Semcirebis Sedegia

(a) avtomanqanebis fasis Semcireba qalaqSi moZraobis Seferxebis Sedegia

(b) avtomanqanebis fasis Semcireba qalaqSi avtomanqanebis momravlebis Sedegia

(g) moZraobis Seferxeba avtomanqanebis fasis Semcirebis Sedegia

(d) avtomanqanebis momravleba qalaqSi moZraobis Seferxebis Sedegia

41. A da B kosmetikuri firmebi daaxloebiT erTnairi raodenobis (qacvisa da WinWris eqstraqtze damzadebul) Sampuns awarmoeben. A kosmetikurma firmam

gayida gacilebiT meti raodenobis WinWris Sampuni, vidre B firmam _ qacvis Sampuni.

am informaciis safuZvelze erT-erTi maRaziis mepatronem ivarauda, rom:

momxmareblebi qacvis SampunTan SedarebiT upiratesobas WinWris Sampuns aniWeben.

qvemoT moyvanili faqtebidan romeli ganamtkicebs am varauds?

(a) A firmis WinWris Sampuni ufro didi raodenobiT gaiyida, vidre B _ firmis WinWris Sampuni

(b) A firmis WinWris Sampuni gacilebiT Zviri Rirda, vidre _ B firmis qacvis Sampuni

(g) A firmam mTlianobaSi ufro meti Sampuni gayida, vidre _ B firmam (d) A firmam ufro meti qacvis Sampuni gayida, vidre _ WinWris Sampuni

15

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT

(saWiroebis SemTxvevaSi SegiZliaT danomroT abzacebi).

mecnieruli Seswavlis Sedegad ukve XIX saukunis miwuruls cnobili

gaxda, rom jgufuri moqmedebis SemTxvevaSi jgufis wevrebma SeiZleba moqmedebis

naklebi motivacia da Sromis unari gamoavlinon, vidre individualuri muSaobis

pirobebSi. am movlenas socialuri sizarmacis fenomeni uwodes.

socialuri sizarmacis ganmapirobebel faqtorTa Seswavla amJamadac iwvevs

mkvlevarTa did interess. kvlevis klasikur variantSi gamoiyeneba bagiris gadaZlevis

specialurad konstruirebuli danadgari. Tvalaxveul cdispirebs (anu eqsperimentis

monawileebs) evalebaT, bagiris gadaZlevisas rac SeiZleba meti Zalisxmeva

gamoavlinon. sagulisxmo is gaxlavT, rom rodesac cdispirebs arwmuneben, rom isini

individualurad da ara erToblivad moqmedeben, maSin maT mier gamovlenili

Zalisxmevis maCveneblebi 18 procentiT izrdeba. adamianTa saqmianobis sxvadasxva

sferoSi socialuri sizarmacis fenomeni maSin vlindeba, rodesac socialuri

jgufis wevrebi erTad saqmianoben, magram am saqmianobis Sedegebze

individualurad ar ageben pasuxs.

mecnierebi, romlebic eqsperimentulad ikvlevdnen socialuri sizarmacis

fenomens, aRniSnavdnen, rom es movlena, rigi damatebiTi faqtorebis

gaTvaliswinebiT, yovelgvar viTarebaSi rodi iCens Tavs. erT-erTi aseTi

mniSvnelovani faqtori jgufis calkeuli wevris motivaciis gazrdaa, ramac

SeiZleba gazardos mTlianad jgufis moqmedebis produqtiulobac. niCbosanTa

Sejibri amis kargi magaliTia: gana niCbosanTa ekipaJis yoveli wevri

individualurad moaspareze niCbosnebTan SedarebiT nakleb Zalisxmevas iCens?

SejibrebaSi gamarjvebis miRwevis motivacia orive SemTxvevaSi maqsimaluria.

socialuri sizarmacis Tavidan acilebis saSualebas warmoadgens saerTo

miznis miRwevaSi piradi pasuxismgeblobis gancda, jgufis yoveli wevris

pasuxismgeblobis amaRleba, rac misi moqmedebis saTanadod SefasebiT miiRweva.

gamokvlevebi gviCvenebs, rom jgufis wevrTa sxvadasxva formiT waxalisebis

SemTxvevaSi isini saqmianobaSi ufro aqtiurad erTvebian.

im socialur-fsiqologiuri meqanizmebis TvalsazrisiT, romlebic safuZvlad

udevs socialuri sizarmacis fenomens, ori Teoriuli principia sayuradRebo.

pirveli principis ("pasuxismgeblobis ganawileba") Tanaxmad, socialuri

sizarmacis movlena maSin iCens Tavs, rodesac jgufis wevrebs sjeraT, rom

jgufur saqmianobaSi maTi wvlili SeumCneveli rCeba. aseT viTarebaSi adamiani

sakuTar motivacias da, Sesabamisad, Zalisxmevas mniSvnelovnad amcirebs.

pasuxismgeblobis principi imazec migvaniSnebs, rom socialuri sizarmacis

Tavidan acileba SesaZlebelia jgufis wevrebisaTvis iseTi informaciis miwodebiT,

romlis saSualebiT yoveli maTganis individualuri wvlili saerTo saqmeSi

cnobili gaxdeba da jgufis yoveli wevri mas saTanadod Seafasebs.

meore Teoriuli midgomis ("samarTlianobis" principi) Tanaxmad, rodesac jgufis wevri Tanajgufelebisgan saerTo saqmianobaSi naklebi Zalisxmevis

gamovlenas elis, am subieqturi molodinis gamo igi rac SeiZleba naklebi

Zalisxmevis daxarjvas cdilobs. magram rodesac adamiani Tvlis, rom jgufis sxva

wevrebic saqmianobaSi maqsimalurad arian CarTulni, maSin didia albaToba imisa,

rom igi socialuri sizarmacis taqtikas aRar gamoiyenebs.

16

42. ras uwodeben socialuri sizarmacis fenomens?

(a) movlenas, romelic XIX saukunis miwuruls aRmocenda fsiqologiaSi

(b) movlenas, romelsac mecnierebi eqsperimentulad ikvlevdnen XIX saukuneSi

(g) movlenas, romlis drosac individis mier jgufuri muSaobisas gamovlenili

Zalisxmeva mxolod 18 procentiT izrdeba

(d) movlenas, romlis drosac adamiani jgufuri muSaobis pirobebSi,

individualurTan SedarebiT, nakleb Zalisxmevas iCens

43. qvemoT CamoTvlilTagan romel winadadebaSia asaxuli pirveli da meore

abzacebis urTierTmimarTeba?

(a) pirvel abzacSi dasaxelebulia adamianTa socialuri qcevis erT-erTi

kanonzomiereba, meoreSi ki miTiTebulia, romeli faqtori uwyobs xels am

kanonzomierebis realur gamovlenas

(b) pirvel abzacSi aRniSnulia, rom jgufuri moqmedeba xels uSlis jgufis

wevrTa SeTanxmebul moqmedebas, meoreSi ki es debuleba dasabuTebulia

(g) pirvel abzacSi saubaria adamianTa qcevis motivaciis Sesaxeb, meoreSi ki

daxasiaTebulia motivaciis saxeobebi

(d) pirvel abzacSi individualuri muSaobis damaxasiaTebel niSan-Tvisebad

miCneulia socialuri sizarmace, xolo meoreSi moyvanilia am Tvalsazrisis

damadasturebeli eqsperimentuli monacemebi

44. meore abzacis mixedviT, socialuri sizarmacis fenomenma Tavi ar iCina,

rodesac:

(a) cdispirebma daijeres, rom isini damoukideblad moqmedebdnen

(b) cdispirebs, romlebic bagiris gadaZlevas erToblivad cdilobdnen, Tvalebi

auxvies

(g) cdispirebs mosTxoves, rac SeiZleba meti ZalisxmeviT gadaeZliaT bagiri

(d) cdispirTa mier gamovlenili Zalisxmevis maCveneblebi mniSvnelovnad Semcirda

45. SejibrSi monawile niCbosanTa ekipaJis (III abzaci) magaliTis safuZvelze

SeiZleba davaskvnaT:

(a) individualurad moaspareze niCbosnebTan SedarebiT, ekipaJis wevrebi

erToblivi moqmedebisas nakleb Zalisxmevas iCenen

(b) individualurad moaspareze niCbosnebisagan gansxvavebiT, ekipaJis yoveli

wevris gamarjvebis miRwevis motivacia maqsimaluria

(g) jgufis moqmedebis produqtiuloba izrdeba, rodesac garkveul faqtorTa

zegavleniT izrdeba misi calkeuli wevrebis motivacia

(d) jgufis moqmedebis produqtiuloba maqsimaluria im SemTxvevaSi, rodesac misi

wevrebis Zalisxmeva mimarTulia gamarjvebis miRwevaze

17

46. qvemoT CamoTvlili winadadebebidan romelSi araa asaxuli socialuri

sizarmacis aRmocenebis mizezi?

(a) jgufuri muSaobisas calkeul wevrTa individualuri wvlili SeumCneveli

rCeba

(b) individualuri pasuxismgebloba mcirdeba, rodesac adamiani sxvebTan erTad

moqmedebs

(g) jgufis wevrebi erToblivi muSaobisas sxvebisgan moelian nakleb aqtivobas

(d) jgufuri saqmianobisas saTanadod fasdeba yoveli calkeuli individis

moqmedeba

47. socialuri sizarmacis Tavidan acilebis ra saSualebebia dasaxelebuli

teqstSi?

(a) samarTlianobis principis dacva jgufis wevrTa Soris pasuxismgeblobis

Tanabrad ganawilebis meSveobiT

(b) jgufis wevrTa maqsimalurad CarTva saqmianobaSi, maTi informaciuli

uzrunvelyofis mizniT

(g) jgufur saqmianobaSi individualuri wvlilis warmoCenis gziT jgufis

calkeul wevrTa piradi pasuxismgeblobis amaRleba da maTi motivaciis

gazrda

(d) jgufis wevrTa motivaciis maqsimumamde gazrda da jgufis produqtiulobis

donis ucvlelad SenarCuneba

48. "pasuxismgeblobis ganawilebis" da "samarTlianobis" principis urTierTSedarebis safuZvelze SeiZleba iTqvas, rom:

(a) "pasuxismgeblobis ganawilebis" principis Tanaxmad, jgufis esa Tu is wevri saTanadod ver afasebs sxvaTa wvlils, "samarTlianobis" principis Tanaxmad ki, jgufis ama Tu im wevris wvlili SeumCneveli rCeba sxvaTaTvis

(b) "samarTlianobis" principisagan gansxvavebiT, "pasuxismgeblobis ganawilebis" principis Tanaxmad, jgufuri saqmianobisas individualuri Zalisxmeva mcirdeba

(g) miuxedavad imisa, rom orive Teoriuli principi erTnairad ganmartavs

socialuri sizarmacis fenomens, am fenomenis Tavidan acilebis maT mier

SemoTavazebuli meqanizmebi gansxvavdeba efeqturobis TvalsazrisiT

(d) orive Teoriuli principi exeba jgufis wevrTa subieqtur molodins, Tumca

erT SemTxvevaSi es molodini jgufSi sakuTar saqmianobas ukavSirdeba,

meoreSi ki _ jgufis sxva wevrebisas

18

49. qvemoT CamoTvlil winadadebaTagan romelia marTebuli, teqstis mixedviT?

(a) teqstSi moyvanilia rogorc eqsperimentuli kvlevis magaliTi, aseve _

cxovrebiseuli situaciis nimuSi da Teoriuli mosazrebebi

(b) teqstSi moyvanilia eqsperimentuli kvlevis magaliTebi, xolo Teoriuli

principebi araa ganxiluli

(g) teqstSi warmodgenilia ramdenime Teoriuli principi, Tumca araa aRwerili

eqsperimentuli kvlevebi da cxovrebiseuli situaciebi

(d) teqstSi gaanalizebulia cxovrebiseul situaciaTa magaliTebi, Tumca

Teoriuli mosazrebebi araa ganxiluli

50. teqstis ZiriTadi daniSnulebaa:

(a) socialuri sizarmacis fenomenis Tavidan acilebis meqanizmTa

urTierTSejereba

(b) socialuri sizarmacis fenomenis eqsperimentuli Seswavlis SedegTa Sejameba

(g) socialuri sizarmacis ganmapirobebel faqtorTa aRwera

(d) socialuri sizarmacis fenomenis daxasiaTeba

19

Savi samuSaosaTvis

20

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:

10. samkuTxedi: • samkuTxedis kuTxeebis sidideTa

jami 180°-is tolia. • piTagoras Teorema:

marTkuTxa samkuTxedis

hipotenuzis sigrZis

kvadrati tolia kaTetebis

sigrZeTa kvadratebis jamis:

AB2 = AC2 + BC2 (ix. naxazi).

• samkuTxedis farTobi

samkuTxedis gverdis sigrZisa da Sesabamisi

simaRlis namravlis naxevaris toli .

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. π ricxvi 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.

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

siCqare =manZili

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.

21

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) 74 ·( )74 −− ·

52.

(a) (b) (g) (d)54

109

53.

(a) (b) (g) (d) yx <2x 2y

54.

(a) (b) (g) (d)5,1·6,30 89,0·43

55.

ABCD marTkuTxedis BC gverdis sigrZe naklebia

CD gverdis sigrZeze.

(a) (b) (g) (d) DC gverdiTa da DB diagonaliT Sedgenili

maxvili kuTxis sidide

48°

22

56. a > 0

(a) (b) (g) (d) a3−a4−

57. 5a = –8 + 2b, b > –1

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

3–a

58.

mocemulia piramida, romelsac sul 7 wvero aqvs.

(a) (b) (g) (d) am piramidis wiboebis

raodenoba 12

amocanebi

59. qvemoT mocemul gamosaxulebaTagan romlis mniSvnelobaa udidesi? (a) 7,5 – 0 + 2,5 – 0 (b) 7,5 – 0 – 2,5 – 0 (g) 7,5 · 0 + 3,5 · 0 (d) (7,5 – 0) · (3,5 · 0) (e) (7,5 – 0) · (2,5 – 0)

60. xaWapuri samad daWres, Semdeg erT-erTi naWeri daWres oTxad, am oTxi

naWridan erT-erTi ki _ isev samad.

xaWapuris ramden naWers miiRebdnen sul? (a) 5 (b) 6 (g) 7 (d) 8 (e) 9

23

61. naxevari metris meramdenedi nawilia 5 santimetri? (a) mesamedi

(b) meoTxedi

(g) mexuTedi

(d) meaTedi

(e) meocedi

62. marTkuTxedidan, romlis sigrZea 9 sm, xolo sigane _ 6 sm, CamoWrilia kvadrati, romlis gverdis sigrZea 3 sm (ix. naxazi). ramdeni kvadratuli santimetria miRebuli eqvskuTxedis farTobi?

(a) 35 (b) 36 (g) 40 (d) 42 (e) 45

monacemTa analizi

qalaqis municipalitetis davalebiT sxvadasxva wlebSi gamoikvlies, qalaqis

mosaxleobis ra nawili sargeblobs kerZo transportiT an sazogadoebrivi

transportis ama Tu im saxeobiT (aqac da SekiTxvebSic saubaria imaze, ra

saxeobis transportiT sargeblobs mosaxleoba upiratesad). cxrilSi mocemulia,

1990-1996 wlebSi qalaqis mcxovrebTa ramdeni procenti sargeblobda kerZo transportiT an sazogadoebrivi transportis Semdegi saxeobebiT: avtobusiT,

mikroavtobusiT, troleibusiT, tramvaiT Tu metropoliteniT.

sazogadoebrivi transporti

kerZo

transporti avtobusi mikroavtobusi troleibusi tramvai metropoliteni

1990 11 35 8 15 7 24 1991 10 33 8 12 7 30 1992 11 32 10 12 5 30 1993 17 28 11 15 3 26 1994 15 30 12 15 3 25 1995 14 32 12 14 2 26 1996 12 35 10 13 2 28

cxrilis mixedviT upasuxeT Semdeg 4 SekiTxvas: 63. qalaqis mcxovrebTa ramdeni procenti mgzavrobda sazogadoebrivi transportiT 1995 wels?

(a) 89 (b) 86 (g) 84 (d) 81 (e) 78

24

64. romel wlebSi iyo im mcxovrebTa raodenoba, romlebic troleibusiT mgzavrobdnen, ufro naklebi, vidre maTi saerTo raodenoba, vinc

mikroavtobusiT an tramvaiT mgzavrobda? (a) 1990 da 1991 wlebSi (b) 1991 da 1992 wlebSi (g) 1992 da 1993 wlebSi (d) 1993 da 1994 wlebSi (e) 1994 da 1995 wlebSi

65. ramdenjer meti iyo im mcxovrebTa raodenoba, romlebic 1994 wels avtobusiT sargeblobdnen, maT raodenobaze, vinc imave wels kerZo transportiT

sargeblobda? (a) 1,5-jer (b) 2-jer (g) 2,5-jer (d) 3-jer (e) 3,5-jer

66. qvemoT CamoTvlilTagan romeli daskvnaa marTebuli cxrilis mixedviT?

(a) qalaqis mcxovrebTa naxevarze meti avtobusiT sargeblobs

(b) im mcxovrebTa wili, romlebic metropoliteniT sargeblobdnen, yovelwli-

urad imatebda, xolo maTi, vinc mikroavtobusiT sargeblobda _ iklebda

(g) yovel wels qalaqis mcxovrebTa ufro naklebi raodenoba sargeblobda

troleibusiT, vidre _ kerZo transportiT an tramvaiT (erTad)

(d) sazogadoebrivi transportis saxeobebidan avtobusiT an troleibusiT

(erTad) yovel wels ufro meti mcxovrebi sargeblobda, vidre _

sazogadoebrivi transportis sxva danarCeni saxeobebiT (erTad)

(e) yovel wels qalaqis mcxovrebTa ufro meti raodenoba sargeblobda

avtobusiT, vidre _ tramvaiT an metropoliteniT (erTad)

amocanebi

67. ramdeniT gadiddeba ricxvi 20649, Tu mis CanawerSi 6-ians SevcvliT 7-ianiT, xolo 9-ians SevcvliT 8-ianiT?

(a) 2-iT (b) 11-iT (g) 90-iT (d) 99-iT (e) 101-iT

25

68. Tu 4512

812

−+= xx , maSin x – 2 =

(a) 1 (b) 2 (g) 4 (d) 5 (e) 10

69. rombis erTi diagonalis sigrZea 24 sm, meoresi ki _ 10 sm. ramdeni santimetria am rombis perimetri?

(a) 36 (b) 48 (g) 52 (d) 60 (e) 68

oqtomberi

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

70. giorgi 25 seqtembers Teqvsmeti wlisa gaxda. kviris romel dRes Seusrulda

giorgis Teqvsmeti weli (naxazze mocemulia

momdevno Tvis kalendari)?

(a) orSabaTs

(b) samSabaTs

(g) oTxSabaTs

(d) xuTSabaTs

(e) paraskevs

71. ricxvebidan: 12, 20, 21, 30 da 32 SearCieT iseTi ricxvi, romelze 4-iT meti ricxvi naturaluri ricxvis kvadratia da romelze 5-iT naklebi ricxvic agreTve naturaluri ricxvis kvadratia.

(a) 12 (b) 20 (g) 21 (d) 30 (e) 32

26

72. ori qalaqidan erTmaneTis Sesaxvedrad ori avtomobili gamovida. pirveli avtomobilis siCqarea 80 km/sT, xolo meoresi _ 70 km/sT. avtomobilebi Tanabari siCqariT, Seuferxeblad moZraobdnen, maT Soris manZili TandaTan mcirdeboda da

moZraobis dawyebidan 2 saaTis Semdeg 120 km-is toli gaxda. ramdeni kilometria saavtomobilo gzis sigrZe am qalaqebs Soris?

(a) 150 (b) 270 (g) 300 (d) 350 (e) 420

73. saerTo wveros mqone marTkuTxedisa da tolgverda samkuTxedis gverdebiT Sedgenili kuTxeebidan ori

maTgani β-s tolia (ix. naxazi). ramdeni gradusia β kuTxis sidide?

(a) 95° (b) 100° (g) 105° (d) 110° (e) 115°

74. banki yovel klients Tvis bolos Setanili Tanxis erTsa da imave nawils _ sabanko procents _ uxdis. vaJam bankSi 5000 lari Seitana, laSam ki _ 7500 lari. Tvis bolos vaJam Tavisi Senatanidan 40 lari miiRo. ramden lars miiRebda Tvis bolos laSa Tavisi Senatanidan?

(a) 45 (b) 50 (g) 55 (d) 60 (e) 65

75. rgolebSi iseTi ricxvebia Cawerili, rom patara rgolSi Cawerili ricxvebis jami 2-iT metia did rgolSi Cawerili ricxvebis jamze

(ix. naxazi). risi tolia a ? (a) 4 (b) 5 (g) 6 (d) 7 (e) 8

27

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.

wriul diagramebze miTiTebulia, A da B qala-qebis mcxovrebTa ramden procents Seadgenen

bavSvebi, axalgazrdebi, Suaxnis adamianebi da

moxucebi.

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

77.

kolofSi sul 30 fanqaria.

feradia, xolo feradi fanq

l

78.

mimdevrobis yoveli wevri mis

3-iT naklebia. b am mimdevrobis me-8 wevria,

bc −

A qalaqSi mcxovreb bavSvTa raodenoba

28

B qalaqSi mcxovreb

bavSvTa raodenoba

fanqrebis 54 nawili

rebis 43 nawili _ (a) (b) (g) (d)

18

urji.

am kolofSi lurji

fanqrebis raodenoba

momdevno wevrze

c _ me-18 wevri.

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

30

79.

tolujredebian badeze,

romlis TiToeuli ujredis

sigrZec da siganec 1 sm-is tolia, gamuqebulia oTxkuT-

xedi. misi wveroebi badis

kvanZebSi mdebareobs (ix. naxazi).

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

24 kv. sm am oTxkuTxedis farTobi

80.

maRaziaSi erT dRes mxolod 4-lariani da 9-lari-ani kalkulatorebi gaiyida, sul _ 100 laris

Rirebulebisa.

(a) (b) (g) d)

am dRes gayiduli

kalkulatorebis

saerTo raodenoba

14

81.

x da y nebismieri ricxvebia. Tu yx ≠ , maSin yx ∗aRniSnavs am ricxvebs Soris udidess, xolo Tu

yx = , maSin xyx =∗ .

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

( ) ( ( ) 7∗+ yx)34 ∗+∗ yx

82.

wrewirze mdebare A da B wertilebis SemaerTebeli monakveTis sigrZea a.

(a) (b) (g) (d) am wrewiris sigrZe a2

29

amocanebi

83. gamyidvels mxolod 200-gramiani da 500-gramiani sawonebi aqvs, romelTa

saerTo wona 9 kilogrami da 600 gramia. 200-gramiani sawonebis raodenoba

orjer naklebia 500-gramiani sawonebis raodenobaze. sul ramdeni cali 500-gramiani sawoni aqvs gamyidvels?

(a) 12 (b) 14 (g) 16 (d) 18 (e) 20

84. sibrtyeze mocemulia marTkuTxa koordinat-Ta sistema. am sibrtyeze mdebare CD monakveTi E wertiliT or tol nawilad iyofa. C da E wertilebis koordinatebi miTiTebulia naxazze.

D wertilis koordinatebi (m; n) = (a) (6; –1) (b) (8; 4) (g) (10; 2) (d) (9; 5) (e) (9; 4)

85. TafliT savse qila 900 grams iwonida. mas Semdeg, rac am qilidan Taflis meoTxedi nawili amoiRes, Tafliani qilis wona 750 grami gaxda. ramdeni grami yofila carieli qilis wona?

(a) 150 (b) 200 (g) 250 (d) 300 (e) 350

86. fermis patronma saqonlisaTvis garkveuli raodenobis sakvebi moimaraga. yoveldRiurad erTi da imave raodenobis sakvebi ixarjeboda. sakvebis xarjvis

dawyebidan 40 dRis Semdeg darCa 4000 kilogrami sakvebi, 60 dRis Semdeg ki _ 3000 kg. ramdeni kilogrami sakvebi hqonia fermis patrons momaragebuli?

(a) 9000 (b) 8000 (g) 7000 (d) 6000 (e) 5000

30

monacemTa analizi

cnobilia, rom adamianis fiziologiur sistemaTa umravlesobis qmediTunarianoba

maqsimums, anu 100%-s maSin aRwevs, roca adamiani 20 wlisaa. diagramaze

warmodgenilia, Tu rogor icvleba saSualod adamianis gulsisxlZarRvTa da

kunTovani sistemebis qmediTunarianoba procentulad 20-dan 80 wlamde asakSi.

mocemuli diagramis mixedviT upasuxeT Semdeg 4 SekiTxvas: 87. ramden procents Seadgens adamianis kunTovani sistemis qmediTunarianoba 70 wlis asakSi? (a) 50% (b) 55% (g) 60% (d) 65% (e) 70%

88. ramdenjeraa Semcirebuli gulsisxlZarRvTa sistemis qmediTunarianoba 75 wlis asakSi, 35 wlis asakTan SedarebiT? (a) 1,5-jer (b) 2-jer (g) 2,5-jer (d) 2,8-jer (e) 3-jer 89. qvemoT CamoTvlili asakobrivi Sualedebidan romelSi mcirdeba kunTovani sistemis qmediTunarianoba ufro naklebad, vidre _ gulsisxlZarRvTa sistemisa? (a) 60-80 (b) 50-70 (g) 40-60 (d) 30-50 (e) 20-40

31

90. qvemoT CamoTvlilTagan romeli winadadebaa marTebuli diagramis mixedviT? (a) 40-dan 80-wlamde asakSi adamianis rogorc kunTovani, aseve _ gulsisxl-

ZarRvTa sistemis qmediTunarianoba ar icvleba

(b) 20-dan 50-wlamde asakSi adamianis gulsisxlZarRvTa sistemis qmediTunarianoba xan imatebs, xan _ iklebs

(g) 70-dan 80-wlamde asakSi adamianis gulsisxlZarRvTa sistemis qmediTunarianoba ufro metad mcirdeba, vidre _ kunTovani sistemisa

(d) 30-dan 70-wlamde asakSi adamianis gulsisxlZarRvTa sistemisa da kunTovani sistemis qmediTunarianoba erTnairad icvleba

(e) 50-dan 60-wlamde asakSi adamianis kunTovani sistemis qmediTunarianoba ufro metad mcirdeba, vidre _ gulsisxlZarRvTa sistemisa

amocanebi

91. ricxvis 3-ze gayofisas miRebuli naSTi 1-is tolia. qvemoT CamoTvlilTagan romlis toli ar SeiZleba iyos naSTi am ricxvis 15-ze gayofisas?

(a) 1 (b) 4 (g) 6 (d) 10 (e) 13

92. vaxtangi firmaSi sxvadasxva samuSaos asrulebs. SabaTobiT is 15 lars gamoimuSavebs, kviraobiT 20 lars, sxva dReebSi ki _ 10 lars. minimum ramden lars aiRebs vaxtangi 17 dRis zedized muSaobis Sedegad?

(a) 195 (b) 200 (g) 205 (d) 210 (e) 215

93. marTkuTxedi dayofilia oTx marTkuTxedad, romelTagan erTis farTobi 8 sm2

-ia, meoris _ 20 sm2,

mesamisa ki _ 60 sm2 (ix. naxazi). ramdeni kvadratuli

santimetria meoTxe marTkuTxedis farTobi? (a) 20 (b) 24 (g) 28 (d) 32 (e) 48

32

94. qalaqis mcxovrebTa nawilma icis mxolod qarTuli ena, nawilma _ mxolod rusuli, xolo danarCenma _ qarTulic da rusulic. qarTuli ena icis am

qalaqis mcxovrebTa 83%-ma, qarTulic da rusulic _ 44%-ma. am qalaqis

mcxovrebTa ramdenma procentma icis rusuli ena? (a) 27%

(b) 56%

(g) 61%

(d) 63%

(e) 72%

95. a luwi ricxvia, b ki _ 5-is jeradi kenti ricxvi. Semdegi gamosaxulebebidan romlis mniSvnelobaa 10-is jeradi?

(a) a + b (b) 5a + 5b (g) 10(a + 2) + b (d) b(5 + a) (e) a(5 + b)

96. gias erTnairi xis kubebi hqonda, ramdenime maTgani man Suaze gaxerxa. am naxevrebisa da kubebisagan giam saxlisma-

gvari sxeuli aawyo (ix. naxazi), ise, rom araferi darCenia.

sul ramdeni kubi hqonia gias Tavdapirvelad? (a) 18 (b) 20 (g) 22 (d) 24 (e) 26

97. nikas erTnairi kubebi da erTnairi burTebi aqvs. 7 kubi da 2 burTi imdenives iwonis, ramdensac 4 kubi da 6 burTi. ramdeni burTis wona eqneba 12 kubs erTad?

(a) 12 (b) 13 (g) 14 (d) 15 (e) 16

33

98. papam baRidan 6 sazamTro amoitana. maTgan 4 sazamTro iseTia, rom TiToeulis wona 5 kg-ze metia da 8 kg-ze naklebi, 2 sazamTro ki iseTia, rom TiToeulis wona 10 kg-ze metia da 15 kg-ze naklebi.

CamoTvlilTagan romeli SeiZleba iyos am sazamTroebis saSualo wona? (a) 6 kg (b) 9 kg (g) 11 kg (d) 13 kg (e) 14 kg

99. gadiddeba Tu Semcirdeba ori ricxvis namravlis mniSvneloba da ramdenjer,

Tu pirvel Tanamamravls gavadidebT misive 32 nawiliT, xolo meore Tanamamravls

SevamcirebT misive 32 nawiliT?

(a) Semcirdeba 59-jer

(b) Semcirdeba 49-jer

(g) gadiddeba 59-jer

(d) gadiddeba 49-jer

(e) ar Seicvleba

100. monakveTebidan, romelTa sigrZeebia 2 sm, 3 sm, 4 sm, 15 sm, 16 sm da 18 sm, unda airCes romelime sami da daixazos iseTi samkuTxedi, romlis gverdebi

arCeuli monakveTebis toli iqneba.

sul ramdeni aseTi erTmaneTis aratoli samkuTxedis daxazvaa SesaZlebeli? (a) 2 (b) 4 (g) 6 (d) 8 (e) 10

34