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. Tavis mobezreba : abezari

(a) gadawyvetilebis miReba : meryevi

(b) ficis gatexa : moRalate

(g) msjavris dadeba : damnaSave

(d) Cxubis dawyeba : Semrigebeli

2. Tiva : zvini

(a) bali : muraba

(b) finjani : WurWeli

(g) Zafi : gorgali

(d) mtevani : venaxi

3. gzis abneva : kompasi

(a) Sejibri : jildo

(b) avadmyofoba : medikamenti

(g) ganZi : samalavi

(d) siCqare : spidometri

4. kompiuteri : tvini

(a) piloti : mfrinavi

(b) binokli : saTvale

(g) globusi : ruka

(d) roboti : muSa

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5. sirbili : daRla

(a) imedis dakargva : sasowarkveTa

(b) zaralis miyeneba : anazRaureba

(g) warmateba : gaxareba

(d) wakiTxva : dazepireba

6. mWadi : simindi

(a) Ciri : leRvi

(b) kakali : nigozi

(g) fiWa : Tafli

(d) Rvino : yurZeni

7. zRurbli : saxli

(a) ferdobi : klde

(b) ru : mdinare

(g) napiri : xmeleTi

(d) wvima : Rrubeli

8. Wraqi : naTura

(a) faetoni : avtomanqana

(b) skivri : CanTa

(g) sareceli : sawoli

(d) qoxi : karavi

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. samiwaTmoqmedo axalSenebis daarseba berZnebma upiratesad _____ , sadac adgilobrivi mosaxleoba _____ socialur-ekonomikuri ganviTarebis

TvalsazrisiT da, _____ mosul berZnebs. xolo iq, sadac arsebobda socialur-

ekonomikuri ganviTarebis TvalsazrisiT dawinaurebuli sazogadoeba, _____ .

(a) iq SeZles / jer kidev susti iyo / Sesabamisad, winaaRmdegobas ver uwevda /

berZnuli kolonizacia did winaaRmdegobas waawyda

(b) iq ver SeZles / sakmaod Zlieri iyo / Sesabamisad, winaaRmdegobas ver uwevda /

berZnul kolonizacias winaaRmdegoba ar Sexvedria

(g) iq SeZles / SedarebiT susti iyo / amis wyalobiT, winaaRmdegobas uwevda /

berZnul kolonizacias winaaRmdegoba ar Sexvedria

(d) iq ver SeZles / ukve sakmaod Zlieri iyo / amis gamo, winaaRmdegobas uwevda /

berZnuli kolonizacia did winaaRmdegobas waawyda

10. _____ sosos megobrebs axsovdaT, rom bavSvobaSi igi _____ , maT _____ ,

rom gazeTebSi sosos _____ moixseniebdnen.

(a) Tumca / arasodes gamoirCeoda musikaluri niWiT / gaukvirdaT / gamoCenil

musikosad

(b) vinaidan / yovelTvis Cumi da sityvaZunwi iyo / gaukvirdaT / gulCaTxrobil

filosofosad

(g) vinaidan / yovelTvis gamoirCeoda sazrianobiT / ar gahkvirvebiaT /

gonebagaxsnil, gamWriax adamianad

(d) Tumca / arasodes gamoirCeoda simamaciT / ar gahkvirvebiaT / gaubedav, meryev

adamianad

4

11. daTba, dneba Tovli. adamiani _____ Tovlis dnobasa da siTbos, magram am or TvalsaCino movlenas Soris arsebuli mizez_Sedegobrivi damokidebuleba _____ . es

mimarTeba fizikuri, aRqmadi _____ ; is mxolod ________ aris misawvdomi.

(a) aRiqvams / naTlad aRiqmeba / movlenaa / azrovnebisTvis

(b) aRiqvams / ver aRiqmeba / movlena ar aris / azrovnebisTvis

(g) ver aRiqvams / ver aRiqmeba / movlenaa / aRqmisTvis

(d) ver aRiqvams / naTlad aRiqmeba / movlena ar aris / aRqmisTvis

12. dapirispirebuli mxareebi konfliqtis dros gansakuTrebulad cdiloben gamokveTon maT Soris arsebuli _____ , anu _____ . am dros _____ Tvisebebi

iqceva im Rirebulebad, romlisTvisac Tavs gawiraven.

(a) msgavseba / yuradReba ar gaamaxvilon gansxvavebaze / ganmasxvavebeli

(b) gansxvaveba / yuradReba ar gaamaxvilon msgavsebaze / ganmasxvavebeli

(g) msgavseba / yuradReba gaamaxvilon gansxvavebaze / saerTo

(d) gansxvaveba / yuradReba gaamaxvilon msgavsebaze / saerTo

13. bizantiis kultura SesaniSnavi iyo ara imiT, rom _____ formebsa da ideebs

_____ , aramed imiT, rom _____ .

(a) axal / warmoSobda, / mimarTavda Zveli ideebisa da formebis sistematizacias

(b) axal / ebrZoda / ewinaaRmdegeboda axali ideebisa da formebis aRmocenebas

(g) uZveles / ikvlevda / mimarTavda Zveli ideebisa da formebis Seswavla-

sistematizacias

(d) uZveles / gvacnobda / cdilobda miviwyebuli ideebisa da formebis dRis

sinaTleze gatanas

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. kviris kinoprogramis Sedgenisas telemayureblebma aseTi survilebi gamoTqves:

• deteqtivi aCvenon dilas an SuadRisas

• komedia aCvenon dilas an saRamos

• multfilmi aCvenon SuadRisas an saRamos

kinogadacemaTa Tanmimdevrobis romel variantSia gaTvaliswinebuli

telemayurebelTa samive survili?

(a) diliT _ deteqtivi, SuadRisas _ multfilmi, saRamos _ komedia

(b) diliT _ deteqtivi, SuadRisas _ komedia, saRamos _ multfilmi

(g) diliT _ multfilmi, SuadRisas _ komedia, saRamos _ deteqtivi

(d) diliT _ komedia, SuadRisas _ multfilmi, saRamos _ deteqtivi

15. moWadrakeTa saerTaSoriso turnirSi saqarTvelodan qalTa da vaJTa axalgazrduli nakrebebi monawileobdnen. saqarTvelos qalTa nakrebma gacilebiT

ukeTesi Sedegi aCvena, vidre _ vaJTa nakrebma. aqedan gamomdinare, mwvrTnelebma

ivaraudes, rom:

qarTveli qalebi gacilebiT ukeTesi moWadrakeebi arian, vidre _ vaJebi.

qvemoT CamoTvlili debulebebidan romeli ayenebs eWvqveS am daskvnas?

(a) saqarTvelos vaJTa nakrebis Zlieri moTamaSeebi am dros imyofebodnen sxva

saerTaSoriso turnirze

(b) saqarTvelos qalTa nakrebma gasul wels amave turnirze ukeTesi Sedegi

aCvena, vidre _ vaJTa nakrebma

(g) vaJebTan SedarebiT, qalebi ufro xSirad acdenen Wadrakis mecadineobebs

(d) vaJebTan SedarebiT, qalebs ukeTesi akademiuri miRwevebi aqvT

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16. davuSvaT: • yvela astronomi meocnebea

• cisferi varskvlavi mxolod italielma astronomebma SeniSnes

qvemoT CamoTvlilTagan romeli daskvna gamomdinareobs am debulebebidan

aucileblad?

(a) yvela meocnebe astronomia

(b) mxolod zogierTi italielia meocnebe

(g) yvela, vinc cisferi varskvlavi SeniSna, meocnebea

(d) maTgan, vinc cisferi varskvlavi SeniSna, mxolod zogierTia italieli

17. davuSvaT:

• yvela is quCa, romelic moednis axlosaa, ganieria

• kafe SeiZleba iyos mxolod im quCebze, romlebic moednis axlosaa

qvemoT CamoTvlilTagan romeli gamomdinareobs am debulebebidan aucileblad?

(a) yvela quCaze, romelic moednis axlosaa, aris kafe

(b) yvela quCa, romelzec aris kafe, ganieria

(g) arc erTi quCa, romelzec ar aris kafe, araa ganieri

(d) arc erTi quCa, romelic moednis axlos araa, araa ganieri

18. vTqvaT, tyuilia, rom xeze yvela vaSli mwifea.

qvemoT CamoTvlilTagan romeli gamomdinareobs am debulebidan aucileblad?

(a) xeze arc erTi vaSli ar aris mkvaxe

(b) xeze arc erTi vaSli ar aris mwife

(g) xeze zogierTi vaSli maincaa mwife

(d) xeze zogierTi vaSli maincaa mkvaxe

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).

naturmorti mxatvrobis erT-erTi Janria. sityva "naturmorti" "mkvdar bunebas" niSnavs. naturmorti asaxavs uZrav sagnebs: yvavilebs, xils, nanadirevs, musikalur sakravebsa da nebismier sxva sagans. XIX saukunemde naturmortis

TiTqmis yvela avtoris mizani maqsimaluri realisturobis miRweva iyo. yvelaze

realisturi naturmortebi cnobilia "tromp l’ eis" saxeliT, rac qarTulad "Tvalis motyuebas" niSnavs. es suraTebi iseT STabeWdilebas gviqmnis, TiTqos Cven Tvalwin realuri sagnebia da ara suraTis brtyeli zedapiri.

naturmorti, rogorc Janri, antikur saberZneTsa da romSi iRebs dasabams,

sadac is mdidarTa saxlebis kedlebis mosarTavad gamoiyeneboda. erTi berZeni

mwerlis TqmiT, mxatvarma zevqsisma daxata yurZnis mtevani, romelic imdenad

hgavda namdvils, rom Citebi mis akenkvas cdilobdnen. magram zevqsiss parasiasma

ajoba. man iseTi farda daxata, rom zevqsisma misi gadaweva daapira. mogvianebiT,

Sua saukuneebsa da renesansis periodSi naturmortebi, ZiriTadad, didi

suraTebis nawils warmoadgenda. magaliTad, RvTismSobelTan erTad xSirad

gamoxatavdnen larnaks dumfarebiT, romlebic simbolurad umankoebas

ganasaxierebda. mxolod XVII saukuneSi iqca naturmorti damoukidebel Janrad.

am dros is gansakuTrebiT popularuli iyo holandiel mxatvarTa Soris,

romlebic TavianT tiloebze, Cveulebriv, asaxavdnen fufunebis sagnebs: vercxlis

WurWels, brolis fialebsa da Wrel Taigulebs. zogjer naturmortSi garkveuli

faruli azri iyo gadmocemuli. mxatvrebi xSirad iseT sagnebs gamoxatavdnen,

romelTac ama Tu im ideis warmoCena SeeZloT. magaliTad, wignebi niSnavda

codnas, musikaluri instrumentebi _ siamovnebas, xolo Tavis qala _ amqveyniuri

cxovrebis warmavlobas.

XIX saukunemde kritikosebi naturmortebs ar swyalobdnen. maT mxolod

ostatobis asamaRlebel saSualebad miiCnevdnen. isini fiqrobdnen, rom

naturmortis Seqmna ar saWiroebda mxatvrisgan arc fantaziis unars da arc

azrovnebas. XIX saukuneSi naturmortebi TandaTan scildeboda realobas.

mxatvrebma TavianTi grZnobebis, ganwyobilebis gamoxatvis mizniT eqsperimentebs

mihyves xeli. isini xSirad iseT sagnebs irCevdnen, romelTac maTTvis

gansakuTrebuli mniSvneloba hqonda, da iseT stilsa da ferebs iyenebdnen,

romlebic maT grZnobebs ufro metad Seefereboda, vidre _ realobas. frangi

mxatvris eduard manes TqmiT, "xilisa da yvavilebis meSveobiT mxatvars yvelafris gamoxatva SeuZlia". cnobili holandieli mxatvris, van gogis erT naxatze gamosaxulia skami.

skamze Cibuxi devs. oTaxis kuTxeSi mdgari yuTidan xaxvis mwvane Reroebi moCans,

rac bunebisa da ganaxlebis simboloa. mxatvris skami da Cibuxi _ es ubralo

nivTebi iseTive warmavali da miwieria, rogorc TviT adamiani. vinsent van gogis

es naturmorti erTgvari simboluri avtoportretia. sagnebi mis tiloebze

aisaxeba mxatvris sulieri mdgomareobis Sesabamisad. van gogi werda: "imis nacvlad, rom zustad gamovsaxo is, rasac vxedav, ferebs Cemeburad viyeneb, raTa

ufro energiulad gamovxato sakuTari Tavi". mas miaCnda, rom ferebs

konkretuli emociuri faseuloba aqvs. yoveli feri misTvis sulieri gancdis

simbolo iyo. magaliTad, "mzesumzirebSi", romelic Tavis megobars, pol gogens, miuZRvna, van gogma "urTierTharmoniuli" narinjisferi da yviTeli gamoiyena,

raTa Tavisi megobruli grZnobebi gamoexata.

8

19. XIX saukunemde naturmortis avtorTa mizani iyo:

(a) damTvaliereblisTvis iseTi STabeWdilebis Seqmna, TiTqos tiloze "mkvdari bunebaa" asaxuli

(b) yvavilebis, xilis, nanadirevis asaxviT mxatvrobis axali mimarTulebis Seqmna (g) suraTis brtyel zedapirze uZrav da ara realur saganTa asaxva

(d) uZrav saganTa maqsimalurad realisturi asaxva

20. qvemoT CamoTvlilTagan romeli araa marTebuli, teqstis mixedviT?

(a) antikur saberZneTsa da romSi naturmorts dekoratiuli funqcia hqonda

(b) XVII saukunis holandieli mxatvrebi naturmortze xatavdnen imdroindeli

sazogadoebis materialuri keTildReobis amsaxvel sagnebs

(g) Sua saukuneebsa da renesansis periodSi naturmorti suraTis mxolod nawils

warmoadgenda, amasTanave, SeiZleboda mas garkveuli simboluri datvirTvac

hqonoda

(d) mxatvrebma mxolod XIX saukuneSi daiwyes naturmortis meSveobiT

ganyenebuli ideebis simbolurad gamosaxva

21. ra Seicvala naturmortis gaazrebaSi XIX saukunidan?

(a) naturmortebze gaCnda iseTi sagnebi, romlebic ufro Seesatyviseboda maT

avtorTa grZnobebs, ganwyobilebas, vidre _ sinamdviles

(b) mxatvrebma eqsperimentebs mihyves xeli: cdilobdnen garesinamdvilis Semecnebas

da mis asaxvas maqsimaluri realisturobiT

(g) kritikosebma naturmorti miiCnies mxolod ostatobis asamaRlebel, xatvis

teqnikis dasauflebel saSualebad

(d) kritikosebma daamkvidres azri: naturmortis Seqmnas ar sWirdeba aRqmulis

gaazreba an warmosaxvis gansakuTrebuli unari

22. van gogis erT-erT naturmortze gamoxatulia ubralo sagnebi (IV abzaci). am naturmortis mixedviT, SeiZleba vivaraudoT, rom avtori ar iziarebda im

cxovrebiseul Rirebulebebs, romlebic asaxulia:

(a) Sua saukuneebisa da renesansis periodis naturmortebze

(b) XVII saukunis holandiel mxatvarTa naturmortebze

(g) frangi mxatvris eduard manes naturmortebze

(d) van gogisave naturmortze _ “mzesumzirebi”

9

23. CamoTvlilTagan romel mxatvarTa namuSevrebs SeiZleba vuwodoT “tromp l’ ei”?

(a) zevqsisisa da parasiasis

(b) zevqsisisa da eduard manes

(g) van gogisa da parasiasis

(d) eduard manesa da pol gogenis

24. teqstSi moyvanilia ori mxatvris citata. ra aqvT saerTo maT avtorebs?

(a) isini umetesad urTierTharmoniuli ferebiT xatavdnen naturmortebs, raTa

SeeqmnaT simboluri avtoportretebi

(b) maTTvis ferebs konkretuli emociuri faseuloba hqonda, amitom iseT ferebs

iyenebdnen, romlebic obieqtur realobas Seesabameboda

(g) isini cdilobdnen grZnobis, ganwyobilebis, sulieri mdgomareobis gamoxatvas

usulo sagnebis meSveobiT

(d) tiloze isini gamosaxavdnen, ZiriTadad, ubralo nivTebs, amqveyniuri

cxovrebis warmavlobaze rom mieniSnebinaT

25. qvemoT warmodgenil winadadebebSi mokledaa Camoyalibebuli ama Tu im abzacis Sinaarsi (maTi rigiTi nomeri, SesaZloa, ar emTxveodes teqstSi abzacebis

Tanmimdevrobas):

1. miTiTebulia Zireuli gardatexa am Janris gaazrebaSi

2. dazustebulia am Janris axleburi koncefcia erT-erTi mxatvris

Semoqmedebis safuZvelze

3. mimoxilulia epoqaTa mixedviT am Janris daniSnulebis cvla 4. ganmartebulia saxviTi xelovnebis erT-erTi Janris arsi

romel abzacebs Seesabameba es winadadebebi anu pasuxis variantebidan romelia

marTebuli?

(a) I abzaci _ 3, II abzaci _ 2, III abzaci _ 4, IV abzaci _ 1

(b) I abzaci _ 4, II abzaci _ 2, III abzaci _ 3, IV abzaci _ 1

(g) I abzaci _ 3, II abzaci _ 1, III abzaci _ 2, IV abzaci _ 4

(d) I abzaci _ 4, II abzaci _ 3, III abzaci _ 1, IV abzaci _ 2

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. SemTxveviTi : kanonzomieri

(a) codvili : mimtevebeli

(b) ficxi : keTili

(g) bejiTi : gonieri

(d) Tavmdabali : ampartavani

27. nisli : gamWvirvale

(a) Tovli : Tbili

(b) gvirila : samkurnalo

(g) soko : nawvimari

(d) Sadrevani : xelovnuri

28. yvavili : Tafli (a) qaRaldi : rveuli

(b) sabado : foladi

(g) fqvili : comi

(d) wvima : gube

29. proza : moTxroba

(a) scenari : speqtakli

(b) wigni : wignaki

(g) xili : msxali

(d) toti : rto

30. laCari : frTxili

(a) metiCara : pranWia

(b) Zunwi : xelmomWirne

(g) matyuara : mliqvneli

(d) mokrZalebuli : moridebuli

11

31. baliSi : muTaqa

(a) fanjara : mina

(b) Zafi : matyli

(g) oqro : vercxli

(d) jami : WurWeli 32. jejili : puris yana

(a) fesvi : rto

(b) ekali : buCqi

(g) nergi : nayofi

(d) kvirti : foToli

33. kinoekrani : kinokamera

(a) TefSi : gazqura

(b) vitrina : maRazia

(g) sarke : gamosaxuleba

(d) isari : ciferblati

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. dro miT ufro swrafad mimdinared ganicdeba, mogonebaSi ki drois monakveTi miT ufro xangrZlivad gveCveneba, rac ufro savse iyo igi sxvadasxva

gancdiT, da, _____ , drois monakveTi miT ufro _____ mimdinared ganicdeba da

mogonebebSi miT ufro _____ gveCveneba, rac ufro _____ STabeWdilebebi

miviReT maSin.

(a) analogiurad / swrafad / xangrZlivad / “carieli” iyo Cveni cnobiereba, rac ufro naklebi

(b) analogiurad / swrafad / xangrZlivad / “savse” iyo Cveni cnobiereba, rac ufro naklebi

(g) piriqiT / nela / xanmokled / “carieli” iyo Cveni cnobiereba, rac ufro naklebi

(d) piriqiT / nela / xanmokled / “savse” iyo Cveni cnobiereba, rac ufro meti

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35 . A firmis mier gamoSvebuli saTamaSoebis fasi aseTi _____ rom ar yofiliyo, maTze moTxovna _____ iqneboda, _____ , rom dRes momxmareblebi did

mniSvnelobas aniWeben saTamaSoebis xarisxs da fiqroben, rom nawarmis fasi ____

dakavSirebuli mis xarisxTan.

(a) maRali / gacilebiT meti / vinaidan cnobilia / pirdapirproporciuladaa

(b) dabali / gacilebiT meti / imitom / pirdapirproporciuladaa

(g) dabali / gacilebiT naklebi / miuxedavad imisa / ukuproporciuladaa

(d) maRali / gacilebiT naklebi / vinaidan cnobilia / ukuproporciuladaa

36. mas Semdeg, rac Tanamedrove azrovnebam yuradReba miaqcia ara marto imas, rac sxvadasxva erovnebas _____ , aramed imasac, rac maT _____, anu im _____ ,

rac erovnebas erovnebad xdis, _____ msoflio moqalaqeobis erTferovan ideals.

(a) erTimeorisgan ganarCevs / erTmaneTisagan asxvavebs / zogadsa da saerTos /

safuZveli Caeyara

(b) erTimeores amsgavsebs / urTierTisgan asxvavebs / originalursa da

ganumeorebels / niadagi gamoecala

(g) erTimeores amsgavsebs / erTimeoresTan aaxloebs / zogadsa da saerTos /

niadagi gamoecala

(d) erTimeorisgan ganarCevs / erTimeores amsgavsebs / originalursa da

ganumeorebels / safuZveli Caeyara

37. “introspeqcia” laTinuri sityvaa da niSnavs “SigniT cqeras”, “retrospeqcia”

ki _ “ukan cqeras”. Sesabamisad, e.w. _____ TviTdakvirveba ase unda gavigoT: subieqti akvirdeba ara _____ , aramed _____ .

(a) “retrospeqtuli” / TviT gancdas misi mimdinareobis dros / im kvals, romelsac gancda tovebs cnobierebaSi

(b) “introspeqtuli” / TviT gancdas misi mimdinareobis dros / im kvals, romelsac gancda tovebs cnobierebaSi

(g) “retrospeqtuli” / im kvals, romelsac gancda tovebs cnobierebaSi / TviT gancdas misi mimdinareobis dros

(d) “introspeqtuli” / cnobierebaSi mimdinare gancdas / im gancdas, romelic cnobierebaSi kvals tovebs

13

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. vTqvaT, diagramaze oTxkuTxedi aRniSnavs adamianTa simravles, marcxena wre _ saxelmwifo moxeleTa simravles, xolo marjvena wre – arakeTilsindisier

adamianTa simravles. ricxvi 3 aRniSnavs orive wris saerTo nawils, 1 – marcxena

wris im nawils, romelic marjvena wris gareTaa moqceuli, 2 – marjvena wris im

nawils, romelic marcxena wris gareTaa, xolo 4 – oTxkuTxedis im nawils,

romelic orive wris gareT mdebareobs.

am ricxvebidan romliTaa aRniSnuli keTilsindisier saxelmwifo moxeleTa

simravle?

(a) 1

(b) 2

(g) 3

(d) 4

39. magidis irgvliv eqvsi bavSvi dgas _ sxvadasxva asakis gogonebi da biWebi, feradi qudebiTa da qurTukebiT, xelSi burTebiT.

SeuZlebelia:

(a) yovel bavSvs ecvas imave feris qurTuki, ra feris qudic axuravs mis

gverdiT mdgoms

(b) yoveli gogona idges biWebs Soris, xolo yoveli biWi gogonebs Soris

(g) yovel bavSvs eWiros gansxvavebuli feris burTi

(d) yoveli bavSvi idges or masze ufros bavSvs Soris

14

40. davuSvaT, arseboben adamianebi, romlebsac surT ganmartoebiT cxovreba.

• yvelas, visac surs ganmartoebiT cxovreba, uyvars poezia

• zogierT maTgans, vinc ganmartoebiT cxovrobs, ar uyvars poezia

qvemoT CamoTvlilTagan romeli daskvna gamomdinareobs am debulebebidan

aucileblad?

(a) zogierTs, visac poezia uyvars, ar surs ganmartoebiT cxovreba

(b) ganmartoebiT cxovrobs mxolod is, visac surs ganmartoebiT cxovreba

(g) zogierTs, vinc ganmartoebiT cxovrobs, ar surs ganmartoebiT cxovreba

(d) ganmartoebiT cxovrobs mxolod is, visac uyvars poezia

41. A qalaqis policiis statistikuri monacemebis analizis safuZvelze gairkva, rom 2005 wels, wina wlebTan SedarebiT, sagrZnoblad Semcirda Cadenil

danaSaulTa gamo sasjelaRsrulebiT dawesebulebebSi moxvedril adamianTa

raodenoba.

am monacemebze dayrdnobiT policiis xelmZRvanelobam gamoTqva varaudi, rom:

A qalaqSi gaumjobesda kriminogenuli situacia, anu Semcirda danaSaulTa raodenoba.

qvemoT CamoTvlili faqtebidan romelma SeiZleba ganamtkicos policiis

xelmZRvanelTa es varaudi?

(a) 2005 wels garkveuli kategoriis danaSaulTa CadenisaTvis patimrobis nacvlad

dawesda pirobiTi sasjeli

(b) 2005 wels qalaqis policiis maRalkvalificiuri TanamSromlebi gamocdilebis

gaziarebis mizniT sxva qveyanaSi gagzavnes

(g) 2005 wels A qalaqis erT-erT gareubanSi aSenda axali sapatimro, romelSic patimarTa nawili gadaiyvanes

(d) 2005 wels A qalaqis policiis TanamSromelTa profesiuli done iseTive maRali iyo, rogoric _ wina wlebSi

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).

ukanaskneli sami-oTxi saukunis ganmavlobaSi mravali moazrovne

dabejiTebiT amtkicebda, rom adamiani samyaros Semecnebis unars mxolod

gamocdilebis meSveobiT iZens. es Sexeduleba axlac popularulia filosofosTa,

fsiqologTa da fiziologTa Soris. magram, albaT, saintereso iqneba imis

garkveva, yvela Cveni unari gamocdilebiTaa SeZenili, Tu zogierTi maTgani

memkvidreobiT gveZleva da gavarjiSebas ar saWiroebs.

ganvixiloT, magaliTad, mxedveloba. mxedvelobis meSveobiT Cven aRviqvamT

garemomcveli samyarodan miRebuli informaciis sam meoTxeds. ismis kiTxva,

dabadebisTanave sworad vafasebT vizualurad miRebul informacias Tu

TandaTanobiT vswavlobT mxedvelobis saSualebiT garesamyaros adekvaturad aRqmas?

Tvalis baduraze aRibeWdeba sagnis organzomilebiani gamosaxuleba, tvinis mier

am informaciis gadamuSavebis safuZvelze ki adamiani aRiqvams moculobas, siRrmes _

mesame ganzomilebas (sivrces). erTi SexedviT, es seriozul wvrTnas saWiroebs.

XVIII saukunis irlandieli filosofosi _ jorj berkli amtkicebda, rom

mxedvelobiTi aRqma garkveuli gavarjiSebis safuZvelze yalibdeba. im xnidan

moyolebuli, es Sexeduleba myarad damkvidrda specialistTa Soris.

berklis Tvalsazrisis Semowmeba mxolod meoce saukuneSi moxerxda. mTavari

sirTule aq is iyo, rom kvleva unda Catarebuliyo axaldabadebul arsebebze, manam,

sanam isini mxedvelobiT aRqmaSi gavarjiSebas SeZlebdnen. magram am asakSi bavSvebica

da cxovelTa naSierebic imdenad umweoni arian, rom bunebriv pirobebSi maT

qcevaze dakvirvebiT ver ganvsazRvravT, rogor aRiqvamen isini danaxuls. xolo

rodesac norCi arsebebi wamoizrdebian, ukve SeuZlebeli xdeba imis garkveva,

romeli mxedvelobiTi unari miiRes maT memkvidreobiT da romels daeuflnen. am

mdgomareobidan gamosavali martivia: axaldabadebul cocxal arsebebs unda

SevuqmnaT sagangebo (eqsperimentuli) pirobebi da ise SeviswavloT maTi qceva. cdebi Caatares axalgamoCekil wiwilebze. maT nawils gamoCekisTanave gaukeTes

imgvari specialuri saTvaleebi, rom wiwilebs esa Tu is sagani ufro axlos

mdebare eCvenebodaT, vidre sinamdvileSi iyo. wiwilebma daiwyes marcvlebis kenkva.

"saTvaliani" wiwilebic bejiTad cdilobdnen akenkvas, magram _ uSedegod: isini niskarts ver axvedrebdnen marcvlebs. maT mxolod xangrZlivi wvrTnis Sedegad

SeZles sakvebis akenkva.

sxva eqsperimentis dros axaldabadebuli batknebi, knutebi da wiwilebi

Tavs aridebdnen im adgilebs, sadac maT xelovnurad uqmnidnen siRrmis iluzias.

siRrmisa ar eSinodaT mxolod ixvis Wuksa da wylis kus. es bunebrivicaa, radgan

sxva SemTxvevaSi isini ver SeZlebdnen Rrma wyalSi Securvas. Seiswavles

axaldabadebuli bavSvebic. Cvilebs guliscema uxSirdebodaT, rodesac maT didi

simaRlidan qvemoT axedebdnen.

eqsperimentuli monacemebis safuZvelze mecnierebma daaskvnes, rom cocxal

arsebas dabadebisTanave aqvs sivrcis aRqmis garkveuli unari. rogorc Cans, tvini

memkvidreobiT iRebs erTgvar safuZvels, danarCens ki gamocdilebis meSveobiT

iTvisebs. magaliTad, kubis an piramidis sqematuri gamosaxulebis aRqma moculobiT

figurad (sxeulad) uTuod moiTxovs garkveuli mxedvelobiTi Cvevis SemuSavebas.

16

42. romel Sexedulebas ugulebelyofdnen is moazrovneebi, romelTa Sesaxebac saubaria pirvel abzacSi?

(a) adamianis SemecnebiTi unarebi gamocdilebis Sedegadaa SeZenili

(b) zogierTi SemecnebiTi unari genetikurad gadaecema Taobidan Taobas da

gavarjiSebas ar saWiroebs

(g) adamians memkvidreobiT ar eZleva arc erTi SemecnebiTi unari

(d) zogierTi SemecnebiTi unari memkvidreobiT ar gveZleva da gavarjiSebas

saWiroebs

43. teqstSi dasmuli problemis ganxilvisas saubaria upiratesad mxedvelobaze, radgan (upasuxeT II abzacis mixedviT):

(a) mxedveloba SemecnebiTi unaria _ misi meSveobiT viRebT informacias

garesamyaros Sesaxeb

(b) mxedvelobis meSveobiT miRebuli vizualuri informaciis sami meoTxedi

garesamyaros garkveul nawils asaxavs

(g) mxedvelobis meSveobiT Cven TandaTan vswavlobT garesamyaros adekvaturad

aRqmas

(d) mxedvelobis meSveobiT dabadebisTanave adekvaturad aRviqvamT garesamyaros

44. teqstis avtoris TqmiT, vizualuri informaciis adekvaturad aRqma, erTi SexedviT, seriozul wvrTnas saWiroebs, radgan:

(a) adamians aqvs saganTa organzomilebiani gamosaxulebebis aRqmis unari

(b) adamianis mier garesamyaros vizualuri aRqma orsafexuriani procesia

(g) Tvalis baduraze gamosaxulebebis aRbeWdva rTuli procesia

(d) tvins aqvs moculobis, siRrmis _ mesame ganzomilebis aRqmis Tandayolili

unari

45. eqsperimentebi, romlebic miznad isaxavda berklis Tvalsazrisis Semowmebas, unda Catarebuliyo axaldabadebul arsebebze, radgan:

(a) bavSvebi, agreTve _ cxovelTa da frinvelTa naSierebi am asakSi umweoni arian

(b) mxolod am asakis cocxal arsebaTa qcevis SeswavliT SeiZleba gairkves,

romeli mxedvelobiTi unari miiRes maT memkvidreobiT

(g) cocxali arsebebi am asakSi sruliad ver axerxeben mxedvelobiT aRqmaSi

gavarjiSebas

(d) am asakis cocxali arsebebi imgvar pirobebSi imyofebian, rom SesaZlebelia

gansazRvra, rogor aRiqvamen isini danaxuls

17

46. qvemoT CamoTvlilTagan romelSi aisaxeba srulad wiwilebze Catarebuli cdebis Sedegebi?

(a) “saTvaliani” wiwilebi niskarts ver axvedrebdnen marcvlebs (b) “saTvalian” wiwilebs esa Tu is sagani ufro axlos mdebare eCvenebodaT,

vidre sinamdvileSi iyo

(g) “saTvaliani” wiwilebi, mravali uSedego mcdelobis miuxedavad, mainc bejiTad cdilobdnen marcvlebis akenkvas

(d) “saTvaliani” wiwilebi Tavdapirvelad uSedegod cdilobdnen marcvlebis akenkvas, Tumca gavarjiSebis Sedegad es mainc SeZles

47. meSvide abzacSi dasaxelebul yovel cocxal arsebas aqvs Tandayolili

unari:

(a) Tavi aaridos adgilebs, sadac mas xelovnurad uqmnidnen siRrmis iluzias

(b) gamoavlinos fiziologiuri reaqcia simaRlidan qvemoT gadaxedvisas

(g) aRiqvas sivrcis samive ganzomileba

(d) gacuros Rrma wyalSi

48. meeqvse da meSvide abzacebSi aRwerili eqsperimentebis urTierTSedarebis safuZvelze SeiZleba iTqvas, rom:

(a) meeqvse da meSvide abzacebSi aRwerili eqsperimentebis miznebi da procedura

gansxvavdeba erTmaneTisgan, miuxedavad amisa, maTi Sedegebi msgavsia

(b) meeqvse da meSvide abzacebSi aRwerili eqsperimentebis procedura msgavsia,

miuxedavad amisa, maTi Sedegebi gansxvavdeba erTmaneTisgan

(g) meeqvse abzacSi aRwerili eqsperimenti miznad isaxavs teqstSi miTiTebuli

Tvalsazrisebis Semowmebas, xolo meSvide abzacSi aRwerili eqsperimenti _ am

Tvalsazrisebis gamaqarwylebeli argumentebis moZiebas

(d) meeqvse abzacSi aRwerili eqsperimentis Sedegi SeiZleba CaiTvalos teqstSi

miTiTebuli ori Tvalsazrisis kompromisul argumentad, meSvide abzacSi

aRwerili eqsperimenti ki adasturebs mxolod erT-erT maTgans

49. ra mimarTebaa pirvelsa da bolo abzacebs Soris?

(a) bolo abzacSi Sejamebulia pirvel abzacSi warmodgenili Tvalsazrisebi

(b) bolo abzacSi ganzogadebulia pirvel abzacSi dasaxelebuli faqti

(g) bolo abzacSi gacemulia pasuxi pirvel abzacSi dasmul kiTxvaze

(d) bolo abzacSi warmodgenili daskvna gamomdinareobs pirvel abzacSi miTiTebuli

Tvalsazrisidan

18

50. romeli qvemomoyvanili debuleba gamoxatavs teqstis mTavar saTqmels?

(a) yvela cocxal arsebas dabadebisTanave aqvs sivrcis aRqmis unari, romelsac

ucvlelad inarCunebs mTeli sicocxlis ganmavlobaSi

(b) yvela cocxal arsebas memkvidreobiT eZleva sivrcis aRqmis garkveuli unari,

romelic gamocdilebis meSveobiT viTardeba

(g) yvela cocxal arsebas memkvidreobiT eZleva sivrcis aRqmis unari, romlis

meSveobiTac is sqematur gamosaxulebebs moculobiT figurebad aRiqvams

(d) yvela cocxal arsebas dabadebisTanave aqvs sivrcis aRqmis garkveuli unari,

romlis safuZvels mxedvelobiTi Cvevebis SemuSaveba warmoadgens

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)3:9−( )4:12 −

52.

(a) (b) (g) (d)56

5554

53.

(a) (b) (g) (d) 0<< ba2a 2b

54.

(a) (b) (g) (d)007,12,297 − 009,6·52

55.

ABCD marTkuTxedis AB gverdis sigrZe metia BC gverdis sigrZeze.

(a) (b) (g) (d) AB gverdiTa da AC diagonaliT Sedgenili

maxvili kuTxis sidide

40°

22

56. x < 0

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

x5 x7

57. 2x = 7 – 3y, y > 1

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

2,2x

58.

mocemulia piramida, romelsac sul 8 wibo aqvs.

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

wveroebis raodenoba 5

amocanebi

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

60. torti oTxad daWres, Semdeg erT-erTi naWeri daWres samad, am sami naWridan erT-erTi ki _ orad.

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

23

61. naxevari kilogramis meramdenedi nawilia 10 grami?

(a) 151

(b) 201

(g) 251

(d) 301

(e) 501

62. eqvskuTxedi dayofilia marTkuTxedad da kvadratad, romelTa zomebi naxazzea miTiTebuli. ramdeni kvadra-

tuli santimetria eqvskuTxedis farTobi? (a) 26 (b) 30 (g) 40 (d) 42 (e) 44

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 14 7 25 1991 9 36 8 14 6 27 1992 11 32 10 12 5 30 1993 17 28 15 10 4 26 1994 16 30 16 11 3 24 1995 14 32 12 13 3 26 1996 12 35 10 12 3 28

cxrilis mixedviT upasuxeT Semdeg oTx SekiTxvas: 63. qalaqis mcxovrebTa ramdeni procenti mgzavrobda sazogadoebrivi transportiT 1994 wels?

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

24

64. romel wlebSi iyo im mcxovrebTa raodenoba, romlebic mikroavtobusiT mgzavrobdnen, ufro meti, vidre maTi saerTo raodenoba, vinc troleibusiT 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 naklebi iyo im mcxovrebTa raodenoba, romlebic 1991 wels kerZo transportiT sargeblobdnen, maT raodenobaze, vinc imave wels metropoliteniT

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 yvelaze didi wili kerZo transportiT sargeblobs

(b) im mcxovrebTa wili, romlebic avtobusiT sargeblobdnen, yovelwliurad

iklebda, xolo maTi, vinc mikroavtobusiT sargeblobda _ imatebda

(g) sazogadoebrivi transportis saxeobebidan avtobusiT an mikroavtobusiT

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

sazogadoebrivi transportis sxva danarCeni saxeobebiT (erTad)

(d) yovel wels qalaqis mcxovrebTa ufro meti raodenoba sargeblobda

metropoliteniT, vidre _ mikroavtobusiT an troleibusiT (erTad)

(e) yovel wels qalaqis mcxovrebTa ufro meti raodenoba sargeblobda

avtobusiT, vidre _ kerZo transportiT an troleibusiT (erTad)

amocanebi

67. ramdeniT Semcirdeba ricxvi 837076, Tu mis CanawerSi orive 7-ians SevcvliT 5-ianebiT?

(a) 4-iT (b) 2000-iT (g) 2020-iT (d) 2 200-iT (e) 2 220-iT

25

68. Tu 1753

177 +− = yy

, maSin y + 6 =

(a) 0 (b) 1 (g) 2 (d) 3 (e) 4

69. tolferda samkuTxedis ferdis sigrZea 13 sm, xolo fuZeze daSvebuli simaRle _ 12 sm. ramdeni santimetria am tolferda samkuTxedis fuZis sigrZe?

(a) 8 (b) 9 (g) 10 (d) 11 (e) 13

a p r i l i

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 kvira 4 11 18 25

70. lia saswavleblad germaniaSi 22 marts gaemgzavra. kviris romel dRes gaemgzavra

lia germaniaSi (naxazze mocemulia momdevno

Tvis _ aprilis kalendari)?

(a) orSabaTs

(b) samSabaTs

(g) oTxSabaTs

(d) xuTSabaTs

(e) SabaTs 71. ricxvebidan: 25, 45, 50, 72 da 90 SearCieT iseTi ricxvi, romelze 2-jer naklebi ricxvi naturaluri ricxvis kvadratia da romelze 9-iT meti ricxvic agreTve naturaluri ricxvis kvadratia.

(a) 25

(b) 45

(g) 50

(d) 72

(e) 90

26

72. A-dan B qalaqSi matarebliT Casvla mxolod C qalaqis gavliTaa SesaZlebeli. A qalaqidan B-sken gavida Cqari matarebeli, romlis siCqarea 70 km/sT, imave dros C-dan B-sken gavida satvirTo matarebeli, romlis siCqarea 40 km/sT. Cqari matarebeli wamoewia satvirTo matarebels moZraobis dawyebidan 3 saaTis Semdeg. matareblebi Seuferxeblad, Sesvenebis gareSe moZraobdnen. ramdeni kilometria

rkinigzis sigrZe A da C qalaqebs Soris? (a) 30 (b) 90 (g) 110 (d) 120 (e) 210

73. saerTo wveros mqone kvadratisa da tolgverda samkuT-xedis gverdebiT Sedgenili kuTxeebidan erT-erTis sididea

135° (ix. naxazi). ramdeni gradusia α kuTxis sidide? (a) 65° (b) 70° (g) 75° (d) 80° (e) 85°

74. Tornikem da aleqsandrem bankidan erTi wlis vadiT sesxi gamoitanes, Tornikem _ 2400 lari, aleqsandrem ki _ 4000 lari. erTi wlis Semdeg TiToeul maTgans bankisTvis ara marto sesxad aRebuli Tanxa, aramed damatebiT am Tanxis

erTi da igive nawili unda gadaexadaT. orivem droulad dafara sesxi

danamatianad. amisaTvis Tornikem 3000 lari Seitana bankSi. ramdeni lari Seutania bankSi aleqsandres?

(a) 4200 (b) 4500 (g) 4800 (d) 5000 (e) 5200

75. rgolebSi iseTi ricxvebia Cawerili, rom erT rgolSi Cawerili ricxvebis jami tolia

meore rgolSi Cawerili ricxvebis jamisa (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.

A qalaqis mcxovrebTa raodenoba 2-jer metia, vidre_ B qalaqisa. wriul diagramebze miTiTebulia, am qalaqebis mcxovrebTa ramden procents Seadgenen

bavSvebi, axalgazrdebi, Suaxnis adamianebi da

moxucebi.

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

77.

kl

go

78.

mim

2-ib40

28

A qalaqSi mcxovrebaxalgazrdaTa

raodenoba

asSi sul 35 moswavlea.

gonaa, xolo gogonaTa 32

devrobis yoveli wevri mis

T naklebia.

am mimdevrobis me-40 wevri

2040 bb −

B qalaqSi mcxovreb

axalgazrdaTa

raodenoba

moswavleTa 53 nawili

nawili _ Savgvremania. (a) (b) (g) (d)

15

am klasSi Savgvreman

gogonaTa raodenoba

momdevno wevrze

a, b20 _ me-20 wevri.

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

36

79.

tolujredebiani badis TiToe-

uli ujredis sigrZec da siga-

nec 1 sm-is tolia. gamuqebuli oTxkuTxedis wveroebi am badis

kvanZebSi mdebareobs (ix. naxazi).

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

12 kv. sm gamuqebuli oTxkuTxedis

farTobi

80.

koncertze dasaswrebad moswavleebma parterisa

da iarusis bileTebi SeiZines. parteris TiToeul

bileTSi gadaixades 7 lari, xolo iarusis

TiToeul bileTSi _ 5 lari. bileTebis SesaZenad moswavleebma sul 140 lari daxarjes.

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

SeZenili bileTebis

saerTo raodenoba 24

81.

x da y nebismieri dadebiTi ricxvebia. Tu yx ≠ ,

maSin aRyx ∗ niSnavs am ricxvebs Soris umciress,

xolo Tu yx = , maSin xyx =∗ .

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

1++ yx)( ) ( 97 ∗+∗ yx

82.

wrewirze mdebare B da C wertilebis SemaerTebeli monakveTis sigrZea b.

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

am wrewiris sigrZe b4

29

amocanebi

83. gias yulabaSi mxolod 10-TeTriani da 20-TeTriani monetebi aqvs, sul _ 16 lari. 10-TeTriani monetebis raodenoba 3-jer metia, vidre 20-TeTriani monetebisa. sul ramdeni cali 20-TeTriani moneta aqvs gias?

(a) 35 (b) 32 (g) 30 (d) 28 (e) 25

84. sibrtyeze mocemulia marTkuTxa koordinatTa sistema. am sibrtyeze mdebare AC monakveTi B wertiliT or tol nawilad iyofa. B da C wertilebis koordinatebi miTiTebulia naxazze.

A wertilis koordinatebi (a, b) = (a) (4; 5) (b) (4; 6) (g) (5; 6) (d) (5; 7) (e) (6; 7)

85. RviniT savse kasri iwonida 400 kg-s. mas Semdeg, rac Rvinis mesamedi nawili gadmoiRes, Rviniani kasri 290 kg-s iwonis. ramdeni kilogrami yofila carieli kasris wona?

(a) 70 (b) 80 (g) 90 (d) 100 (e) 110

86. tyviis msrolelma turnirisTvis mosamzadeblad garkveuli raodenobis vaznebi iyida. igi savarjiSod yoveldRiurad erTi da imave raodenobis vaznebs

xarjavda. varjiSis dawyebidan 15 dRis Semdeg mas darCenili hqonda 2800 vazna, 20 dRis Semdeg ki _ 800. sul ramdeni cali vazna uyidia tyviis msrolels?

(a) 2000 (b) 3600 (g) 5000 (d) 7200 (e) 8800

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.

m ocemuli diagramis mixedviT upasuxeT Semdeg oTx SekiTxvas:

87. ramden procents Seadgens adamianis gulsisxlZarRvTa sistemis qmediT-

unarianoba 60 wlis asakSi? (a) 90% (b) 80% (g) 75% (d) 70% (e) 65%

88. ramdenjeraa Semcirebuli kunTovani sistemis qmediTunarianoba 65 wlis

asakSi, 40 wlis asakTan SedarebiT? (a) 3-jer (b) 2.8-jer (g) 2,3-jer (d) 2-jer (e) 1,5-jer

89. qvemoT CamoTvlili asakobrivi Sualedebidan romelSi mcirdeba kunTovani sistemis qmediTunarianoba ufro metad, vidre gulsisxlZarRvTa sistemis

qmediTunarianoba? (a) 20-30 (b) 20-40 (g) 25-35 (d) 30-40 (e) 40-55

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 jer iklebs, Semdeg ki _ imatebs

(g) 40-dan 80-wlamde asakSi adamianis kunTovani sistemis qmediTunarianoba ufro metad mcirdeba, vidre gulsisxlZarRvTa sistemisa

(d) 20-dan 80-wlamde asakSi adamianis gulsisxlZarRvTa sistemis qmediTunarianoba ufro metad mcirdeba, vidre kunTovani sistemisa

(e) 30-dan 60-wlamde asakSi adamianis gulsisxlZarRvTa sistemisa da kunTovani sistemis qmediTunarianoba erTnairad icvleba

amocanebi

91. ricxvis 4-ze gayofisas miRebuli naSTi 3-is tolia. qvemoT CamoTvlilTagan romlis toli ar SeiZleba iyos naSTi amave ricxvis 16-ze gayofisas?

(a) 3 (b) 5 (g) 7 (d) 11 (e) 15

92. daTo kafeSi sxvadasxva samuSaos asrulebs. SabaTobiT mas 20 lars uxdian, kviraobiT _ 30 lars, sxva dReebSi ki _ 10 lars. maqsimum ramdeni lari SeiZleba gamoimuSaos daTom kafeSi zedized 15 dRis ganmavlobaSi muSaobiT?

(a) 190 (b) 200 (g) 210 (d) 220 (e) 230

93. marTkuTxedi dayofilia oTx marTkuTxedad, romelTagan erTis farTobi 4 m2

-ia, meoris _ 7 m2,

mesamisa ki _ 12 m2 (ix. naxazi). ramdeni kvadratuli

metria meoTxe marTkuTxedis farTobi? (a) 11 (b) 16 (g) 19 (d) 21 (e) 28

32

94. firmam moiwvia frangulis an germanulis mcodne gogonebi. mowveuli gogonebis 60%-ma icis franguli, 75%-ma ki _ germanuli, xolo 70-ma gogonam . icis orive ena. sul ramdeni gogona mouwvevia firmas?

(a) 250 (b) 200 (g) 180 (d) 150 (e) 120

95. x aris 3-is jeradi kenti ricxvi, y ki _ 4-is jeradi ricxvi. Semdegi gamosaxulebebidan romlis mniSvnelobaa 6-is jeradi?

(a) 5x + y (b) x + 3y (g) 3(x + 2) + y (d) 7(x + y) (e) x(y + 2)

96. sandros erTnairi xis kubebi hqonda, ramdenime maTgani man Suaze gaxerxa. am naxevrebisa

da kubebisagan sandrom saxlismagvari sxeuli

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

sul ramdeni kubi hqonia sandros Tavdapirvelad? (a) 10 (b) 12 (g) 13 (d) 14 (e) 15

97. ditos erTnairi burTebi da erTnairi kubebi aqvs. 9 burTi da 3 kubi imdenives iwonis, ramdensac 2 burTi da 8 kubi. ramdeni kubis wona eqneba 28 burTs erTad?

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

33

98. ansamblSi 5 momReralia. sami maTganis asaki 25 welze metia da 30-ze naklebi, 2 maTganisa ki _ 35 welze meti da 40 welze naklebi. CamoTvlilTagan romeli SeiZleba iyos am ansamblis momReralTa asakebis saSualo?

(a) 26 weli (b) 27 weli (g) 29 weli (d) 31 weli (e) 34 weli

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

Tu pirvel Tanamamravls gavadidebT misive 53 nawiliT, xolo meore Tanamamravls

SevamcirebT misive 53 nawiliT?

(a) Semcirdeba 925-jer

(b) Semcirdeba 1625-jer

(g) gadiddeba 925-jer

(d) gadiddeba 1625-jer

(e) arc gadiddeba, arc Semcirdeba

100. monakveTebidan, romelTa sigrZeebia 2 sm, 3 sm, 4 sm, 10 sm, 11 sm da 12 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) 6 (g) 8 (d) 10 (e) 12

34