verbaluri nawilianalogiebi      am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,romelTa mniSvnelobebs S...
5. sirbili : daRla(a)   imedis dakargva : sasowarkveTa(b)   zaralis miyeneba : anazRaureba(g)   warmateba : gaxareba(d)   ...
winadadebebis Sevseba     am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaagamotovebuli. gamotovebu...
11. daTba, dneba Tovli. adamiani _____ Tovlis dnobasa da siTbos, magram am orTvalsaCino movlenas Soris arsebuli mizez_Sede...
logika     am saxis davalebebi gansxvavdeba erTmaneTisgan  winaswari monacemebisa dagamosatani daskvnebis TvalsazrisiT. am...
16. davuSvaT:   • yvela astronomi meocnebea   • cisferi varskvlavi mxolod italielma astronomebma SeniSnesqvemoT CamoTvlilT...
wakiTxuli teqstis gaazreba     yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudopasuxebidan airCieT is...
19. XIX saukunemde naturmortis avtorTa mizani iyo:(a) damTvaliereblisTvis iseTi STabeWdilebis Seqmna, TiTqos tiloze "mkvda...
23. CamoTvlilTagan romel mxatvarTa namuSevrebs SeiZleba vuwodoT “tromp l’ ei”?(a)   zevqsisisa da parasiasis(b)   zevqsisi...
analogiebi      am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,romelTa mniSvnelobebs Soris arsebobs ga...
31. baliSi : muTaqa(a)   fanjara : mina(b)   Zafi : matyli(g)   oqro : vercxli(d)   jami : WurWeli32. jejili : puris yana(...
35 . A firmis mier gamoSvebuli saTamaSoebis fasi aseTi _____ rom aryofiliyo, maTze moTxovna _____ iqneboda, _____ , rom dR...
logika     am saxis davalebebi gansxvavdeba erTmaneTisgan  winaswari monacemebisa dagamosatani daskvnebis TvalsazrisiT. am...
40. davuSvaT, arseboben adamianebi, romlebsac surT ganmartoebiT cxovreba.  •     yvelas, visac surs ganmartoebiT cxovreba,...
wakiTxuli teqstis gaazreba     yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudopasuxebidan airCieT is...
42. romel Sexedulebas ugulebelyofdnen is moazrovneebi, romelTa Sesaxebacsaubaria pirvel abzacSi?(a) adamianis SemecnebiTi ...
46. qvemoT CamoTvlilTagan romelSi aisaxeba srulad wiwilebze Catarebulicdebis Sedegebi?(a) “saTvaliani” wiwilebi niskarts v...
50. romeli qvemomoyvanili debuleba gamoxatavs teqstis mTavar saTqmels?(a) yvela cocxal arsebas dabadebisTanave aqvs sivrci...
Savi   samuSaosaTvis20
maTematikuri nawilitestis maTematikur nawilze muSaobisas gaiTvaliswineT:    •    naxazebi, romlebic erTvis zogierT davaleb...
raodenobrivi Sedareba    SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi.    Tu A svetis ujraSi mocemuli r...
x < 056.                                                     (a)      (b)       (g)     (d)                5x             ...
61. naxevari kilogramis meramdenedi nawilia 10 grami?        1   (a)       15     (b)   1           20          1     (g) ...
64. romel wlebSi iyo im mcxovrebTa raodenoba, romlebic mikroavtobusiTmgzavrobdnen, ufro meti, vidre maTi saerTo raodenoba,...
y −7 3 y +568. Tu             =       , maSin y + 6 =               17     17     (a)   0     (b)   1     (g)   2     (d) ...
72. A-dan B qalaqSi matarebliT Casvla mxolod C qalaqis gavliTaa SesaZlebeli.A qalaqidan B-sken gavida Cqari matarebeli, ro...
raodenobrivi Sedareba    SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi.    Tu A svetis ujraSi mocemuli r...
tolujredebiani badis TiToe-      uli ujredis sigrZec da siga-      nec 1 sm-is tolia. gamuqebuli      oTxkuTxedis wveroebi...
amocanebi83. gias yulabaSi mxolod 10-TeTriani da 20-TeTriani monetebi aqvs, sul _16 lari. 10-TeTriani monetebis raodenoba ...
monacemTa analizicnobilia, rom adamianis fiziologiur sistemaTa umravlesobis qmediTunarianobamaqsimums, anu 100%-s maSin aR...
90. qvemoT CamoTvlilTagan romeli winadadebaa marTebuli diagramis mixedviT?     (a) 40-dan 80-wlamde asakSi adamianis rogor...
94. firmam moiwvia frangulis an germanulis mcodne gogonebi. mowveuligogonebis 60%-ma icis franguli, 75%-ma ki _ germanuli,...
98. ansamblSi 5 momReralia. sami maTganis asaki 25 welze metia da 30-ze naklebi,2 maTganisa ki _ 35 welze meti da 40 welze...
2006 unarebi-2
Upcoming SlideShare
Loading in …5
×

2006 unarebi-2

5,033 views

Published on

0 Comments
1 Like
Statistics
Notes
  • Be the first to comment

No Downloads
Views
Total views
5,033
On SlideShare
0
From Embeds
0
Number of Embeds
17
Actions
Shares
0
Downloads
11
Comments
0
Likes
1
Embeds 0
No embeds

No notes for slide

2006 unarebi-2

  1. 1. verbaluri nawilianalogiebi am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, rasaxisaa es mimarTeba. savaraudo pasuxTa yovel variantSi aseve mocemulia mniSvnelobiTurTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSicsityvaTa mniSvnelobebs Soris mimarTeba gamuqebul sityvaTa urTierTmimarTebismsgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTaTanmimdevroba.1. Tavis mobezreba : abezari(a) gadawyvetilebis miReba : meryevi(b) ficis gatexa : moRalate(g) msjavris dadeba : damnaSave(d) Cxubis dawyeba : Semrigebeli2. Tiva : zvini(a) bali : muraba(b) finjani : WurWeli(g) Zafi : gorgali(d) mtevani : venaxi3. gzis abneva : kompasi(a) Sejibri : jildo(b) avadmyofoba : medikamenti(g) ganZi : samalavi(d) siCqare : spidometri4. kompiuteri : tvini(a) piloti : mfrinavi(b) binokli : saTvale(g) globusi : ruka(d) roboti : muSa2
  2. 2. 5. sirbili : daRla(a) imedis dakargva : sasowarkveTa(b) zaralis miyeneba : anazRaureba(g) warmateba : gaxareba(d) wakiTxva : dazepireba6. mWadi : simindi(a) Ciri : leRvi(b) kakali : nigozi(g) fiWa : Tafli(d) Rvino : yurZeni7. zRurbli : saxli(a) ferdobi : klde(b) ru : mdinare(g) napiri : xmeleTi(d) wvima : Rrubeli8. Wraqi : naTura(a) faetoni : avtomanqana(b) skivri : CanTa(g) sareceli : sawoli(d) qoxi : karavi 3
  3. 3. winadadebebis Sevseba am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaagamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli.erTi xazi zogjer erT sityvas gulisxmobs, zogjer ki _ ramdenimes. savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlisnawilebi erTmaneTisgan daxrili xazebiTaa (/) gamijnuli. airCieT pasuxis isvarianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamisgamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.9. samiwaTmoqmedo axalSenebis daarseba berZnebma upiratesad _____ , sadacadgilobrivi mosaxleoba _____ socialur-ekonomikuri ganviTarebisTvalsazrisiT 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 waawyda10. _____ 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 adamianad4
  4. 4. 11. daTba, dneba Tovli. adamiani _____ Tovlis dnobasa da siTbos, magram am orTvalsaCino movlenas Soris arsebuli mizez_Sedegobrivi damokidebuleba _____ . esmimarTeba 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 / aRqmisTvis12. dapirispirebuli mxareebi konfliqtis dros gansakuTrebulad cdilobengamokveTon maT Soris arsebuli _____ , anu _____ . am dros _____ Tvisebebiiqceva 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 / saerTo13. 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
  5. 5. logika am saxis davalebebi gansxvavdeba erTmaneTisgan winaswari monacemebisa dagamosatani daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieTSekiTxvas, romelic axlavs TiToeul davalebas da mocemuli variantebidanairCieT Sesabamisi pasuxi. zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxvanaxazis formiT.14. kviris kinoprogramis Sedgenisas telemayureblebma aseTi survilebi gamoTqves: • deteqtivi aCvenon dilas an SuadRisas • komedia aCvenon dilas an saRamos • multfilmi aCvenon SuadRisas an saRamoskinogadacemaTa Tanmimdevrobis romel variantSia gaTvaliswinebulitelemayurebelTa 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 _ deteqtivi15. moWadrakeTa saerTaSoriso turnirSi saqarTvelodan qalTa da vaJTaaxalgazrduli nakrebebi monawileobdnen. saqarTvelos qalTa nakrebma gacilebiTukeTesi Sedegi aCvena, vidre _ vaJTa nakrebma. aqedan gamomdinare, mwvrTnelebmaivaraudes, 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 aqvT6
  6. 6. 16. davuSvaT: • yvela astronomi meocnebea • cisferi varskvlavi mxolod italielma astronomebma SeniSnesqvemoT CamoTvlilTagan romeli daskvna gamomdinareobs am debulebebidanaucileblad?(a) yvela meocnebe astronomia(b) mxolod zogierTi italielia meocnebe(g) yvela, vinc cisferi varskvlavi SeniSna, meocnebea(d) maTgan, vinc cisferi varskvlavi SeniSna, mxolod zogierTia italieli17. davuSvaT: • yvela is quCa, romelic moednis axlosaa, ganieria • kafe SeiZleba iyos mxolod im quCebze, romlebic moednis axlosaaqvemoT 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 ganieri18. 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
  7. 7. wakiTxuli teqstis gaazreba yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudopasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT(saWiroebis SemTxvevaSi SegiZliaT danomroT abzacebi). naturmorti mxatvrobis erT-erTi Janria. sityva "naturmorti" "mkvdarbunebas" niSnavs. naturmorti asaxavs uZrav sagnebs: yvavilebs, xils, nanadirevs,musikalur sakravebsa da nebismier sxva sagans. XIX saukunemde naturmortisTiTqmis yvela avtoris mizani maqsimaluri realisturobis miRweva iyo. yvelazerealisturi naturmortebi cnobilia "tromp l’ eis" saxeliT, rac qarTulad"Tvalis motyuebas" niSnavs. es suraTebi iseT STabeWdilebas gviqmnis, TiTqos CvenTvalwin realuri sagnebia da ara suraTis brtyeli zedapiri. naturmorti, rogorc Janri, antikur saberZneTsa da romSi iRebs dasabams,sadac is mdidarTa saxlebis kedlebis mosarTavad gamoiyeneboda. erTi berZenimwerlis TqmiT, mxatvarma zevqsisma daxata yurZnis mtevani, romelic imdenadhgavda namdvils, rom Citebi mis akenkvas cdilobdnen. magram zevqsiss parasiasmaajoba. man iseTi farda daxata, rom zevqsisma misi gadaweva daapira. mogvianebiT,Sua saukuneebsa da renesansis periodSi naturmortebi, ZiriTadad, didisuraTebis nawils warmoadgenda. magaliTad, RvTismSobelTan erTad xSiradgamoxatavdnen larnaks dumfarebiT, romlebic simbolurad umankoebasganasaxierebda. mxolod XVII saukuneSi iqca naturmorti damoukidebel Janrad.am dros is gansakuTrebiT popularuli iyo holandiel mxatvarTa Soris,romlebic TavianT tiloebze, Cveulebriv, asaxavdnen fufunebis sagnebs: vercxlisWurWels, brolis fialebsa da Wrel Taigulebs. zogjer naturmortSi garkveulifaruli azri iyo gadmocemuli. mxatvrebi xSirad iseT sagnebs gamoxatavdnen,romelTac ama Tu im ideis warmoCena SeeZloT. magaliTad, wignebi niSnavdacodnas, musikaluri instrumentebi _ siamovnebas, xolo Tavis qala _ amqveyniuricxovrebis warmavlobas. XIX saukunemde kritikosebi naturmortebs ar swyalobdnen. maT mxolodostatobis asamaRlebel saSualebad miiCnevdnen. isini fiqrobdnen, romnaturmortis Seqmna ar saWiroebda mxatvrisgan arc fantaziis unars da arcazrovnebas. XIX saukuneSi naturmortebi TandaTan scildeboda realobas.mxatvrebma TavianTi grZnobebis, ganwyobilebis gamoxatvis mizniT eqsperimentebsmihyves xeli. isini xSirad iseT sagnebs irCevdnen, romelTac maTTvisgansakuTrebuli mniSvneloba hqonda, da iseT stilsa da ferebs iyenebdnen,romlebic maT grZnobebs ufro metad Seefereboda, vidre _ realobas. frangimxatvris eduard manes TqmiT, "xilisa da yvavilebis meSveobiT mxatvars yvelafrisgamoxatva 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 ubralonivTebi iseTive warmavali da miwieria, rogorc TviT adamiani. vinsent van gogises naturmorti erTgvari simboluri avtoportretia. sagnebi mis tiloebzeaisaxeba mxatvris sulieri mdgomareobis Sesabamisad. van gogi werda: "imisnacvlad, rom zustad gamovsaxo is, rasac vxedav, ferebs Cemeburad viyeneb, raTaufro energiulad gamovxato sakuTari Tavi". mas miaCnda, rom ferebskonkretuli emociuri faseuloba aqvs. yoveli feri misTvis sulieri gancdissimbolo iyo. magaliTad, "mzesumzirebSi", romelic Tavis megobars, pol gogens,miuZRvna, van gogma "urTierTharmoniuli" narinjisferi da yviTeli gamoiyena,raTa Tavisi megobruli grZnobebi gamoexata.8
  8. 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 asaxva20. 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 gamosaxva21. 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 unari22. van gogis erT-erT naturmortze gamoxatulia ubralo sagnebi (IV abzaci). amnaturmortis mixedviT, SeiZleba vivaraudoT, rom avtori ar iziarebda imcxovrebiseul 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
  9. 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 gogenis24. 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 mieniSnebinaT25. qvemoT warmodgenil winadadebebSi mokledaa Camoyalibebuli ama Tu imabzacis Sinaarsi (maTi rigiTi nomeri, SesaZloa, ar emTxveodes teqstSi abzacebisTanmimdevrobas): 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 arsiromel abzacebs Seesabameba es winadadebebi anu pasuxis variantebidan romeliamarTebuli?(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 _ 210
  10. 10. analogiebi am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, rasaxisaa es mimarTeba. savaraudo pasuxTa yovel variantSi aseve mocemulia mniSvnelobiTurTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSicsityvaTa mniSvnelobebs Soris mimarTeba gamuqebul sityvaTa urTierTmimarTebismsgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTaTanmimdevroba.26. SemTxveviTi : kanonzomieri(a) codvili : mimtevebeli(b) ficxi : keTili(g) bejiTi : gonieri(d) Tavmdabali : ampartavani27. nisli : gamWvirvale(a) Tovli : Tbili(b) gvirila : samkurnalo(g) soko : nawvimari(d) Sadrevani : xelovnuri28. yvavili : Tafli(a) qaRaldi : rveuli(b) sabado : foladi(g) fqvili : comi(d) wvima : gube29. proza : moTxroba(a) scenari : speqtakli(b) wigni : wignaki(g) xili : msxali(d) toti : rto30. laCari : frTxili(a) metiCara : pranWia(b) Zunwi : xelmomWirne(g) matyuara : mliqvneli(d) mokrZalebuli : moridebuli 11
  11. 11. 31. baliSi : muTaqa(a) fanjara : mina(b) Zafi : matyli(g) oqro : vercxli(d) jami : WurWeli32. jejili : puris yana(a) fesvi : rto(b) ekali : buCqi(g) nergi : nayofi(d) kvirti : foToli33. kinoekrani : kinokamera(a) TefSi : gazqura(b) vitrina : maRazia(g) sarke : gamosaxuleba(d) isari : ciferblatiwinadadebebis Sevseba am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaagamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli.erTi xazi zogjer erT sityvas gulisxmobs, zogjer ki _ ramdenimes. savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlisnawilebi erTmaneTisgan daxrili xazebiTaa (/) gamijnuli. airCieT pasuxis isvarianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamisgamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.34. dro miT ufro swrafad mimdinared ganicdeba, mogonebaSi ki droismonakveTi miT ufro xangrZlivad gveCveneba, rac ufro savse iyo igi sxvadasxvagancdiT, da, _____ , drois monakveTi miT ufro _____ mimdinared ganicdeba damogonebebSi miT ufro _____ gveCveneba, rac ufro _____ STabeWdilebebimiviReT 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 meti12
  12. 12. 35 . A firmis mier gamoSvebuli saTamaSoebis fasi aseTi _____ rom aryofiliyo, maTze moTxovna _____ iqneboda, _____ , rom dRes momxmareblebi didmniSvnelobas 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 / ukuproporciuladaa36. 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 Caeyara37. “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
  13. 13. logika am saxis davalebebi gansxvavdeba erTmaneTisgan winaswari monacemebisa dagamosatani daskvnebis TvalsazrisiT. amitom gansakuTrebuli yuradReba miaqcieTSekiTxvas, romelic axlavs TiToeul davalebas da mocemuli variantebidanairCieT Sesabamisi pasuxi. zogierT SekiTxvaze pasuxis gacemas gagiadvilebT monacemebis gamosaxvanaxazis formiT.38. vTqvaT, diagramaze oTxkuTxedi aRniSnavs adamianTa simravles, marcxena wre_ saxelmwifo moxeleTa simravles, xolo marjvena wre – arakeTilsindisieradamianTa simravles. ricxvi 3 aRniSnavs orive wris saerTo nawils, 1 – marcxenawris im nawils, romelic marjvena wris gareTaa moqceuli, 2 – marjvena wris imnawils, romelic marcxena wris gareTaa, xolo 4 – oTxkuTxedis im nawils,romelic orive wris gareT mdebareobs.am ricxvebidan romliTaa aRniSnuli keTilsindisier saxelmwifo moxeleTasimravle?(a) 1(b) 2(g) 3(d) 439. 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 Soris14
  14. 14. 40. davuSvaT, arseboben adamianebi, romlebsac surT ganmartoebiT cxovreba. • yvelas, visac surs ganmartoebiT cxovreba, uyvars poezia • zogierT maTgans, vinc ganmartoebiT cxovrobs, ar uyvars poeziaqvemoT CamoTvlilTagan romeli daskvna gamomdinareobs am debulebebidanaucileblad?(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 poezia41. A qalaqis policiis statistikuri monacemebis analizis safuZvelze gairkva,rom 2005 wels, wina wlebTan SedarebiT, sagrZnoblad Semcirda CadenildanaSaulTa gamo sasjelaRsrulebiT dawesebulebebSi moxvedril adamianTaraodenoba. am monacemebze dayrdnobiT policiis xelmZRvanelobam gamoTqva varaudi, rom:A qalaqSi gaumjobesda kriminogenuli situacia, anu Semcirda danaSaulTaraodenoba.qvemoT CamoTvlili faqtebidan romelma SeiZleba ganamtkicos policiisxelmZRvanelTa 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
  15. 15. wakiTxuli teqstis gaazreba yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudopasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT(saWiroebis SemTxvevaSi SegiZliaT danomroT abzacebi). ukanaskneli sami-oTxi saukunis ganmavlobaSi mravali moazrovnedabejiTebiT amtkicebda, rom adamiani samyaros Semecnebis unars mxolodgamocdilebis meSveobiT iZens. es Sexeduleba axlac popularulia filosofosTa,fsiqologTa da fiziologTa Soris. magram, albaT, saintereso iqneba imisgarkveva, yvela Cveni unari gamocdilebiTaa SeZenili, Tu zogierTi maTganimemkvidreobiT gveZleva da gavarjiSebas ar saWiroebs. ganvixiloT, magaliTad, mxedveloba. mxedvelobis meSveobiT Cven aRviqvamTgaremomcveli samyarodan miRebuli informaciis sam meoTxeds. ismis kiTxva,dabadebisTanave sworad vafasebT vizualurad miRebul informacias TuTandaTanobiT vswavlobT mxedvelobis saSualebiT garesamyaros adekvaturad aRqmas? Tvalis baduraze aRibeWdeba sagnis organzomilebiani gamosaxuleba, tvinis mieram informaciis gadamuSavebis safuZvelze ki adamiani aRiqvams moculobas, siRrmes _mesame ganzomilebas (sivrces). erTi SexedviT, es seriozul wvrTnas saWiroebs. XVIII saukunis irlandieli filosofosi _ jorj berkli amtkicebda, rommxedvelobiTi aRqma garkveuli gavarjiSebis safuZvelze yalibdeba. im xnidanmoyolebuli, es Sexeduleba myarad damkvidrda specialistTa Soris. berklis Tvalsazrisis Semowmeba mxolod meoce saukuneSi moxerxda. mTavarisirTule aq is iyo, rom kvleva unda Catarebuliyo axaldabadebul arsebebze, manam,sanam isini mxedvelobiT aRqmaSi gavarjiSebas SeZlebdnen. magram am asakSi bavSvebicada cxovelTa naSierebic imdenad umweoni arian, rom bunebriv pirobebSi maTqcevaze dakvirvebiT ver ganvsazRvravT, rogor aRiqvamen isini danaxuls. xolorodesac norCi arsebebi wamoizrdebian, ukve SeuZlebeli xdeba imis garkveva,romeli mxedvelobiTi unari miiRes maT memkvidreobiT da romels daeuflnen. ammdgomareobidan gamosavali martivia: axaldabadebul cocxal arsebebs undaSevuqmnaT sagangebo (eqsperimentuli) pirobebi da ise SeviswavloT maTi qceva. cdebi Caatares axalgamoCekil wiwilebze. maT nawils gamoCekisTanave gaukeTesimgvari specialuri saTvaleebi, rom wiwilebs esa Tu is sagani ufro axlosmdebare eCvenebodaT, vidre sinamdvileSi iyo. wiwilebma daiwyes marcvlebis kenkva."saTvaliani" wiwilebic bejiTad cdilobdnen akenkvas, magram _ uSedegod: isininiskarts ver axvedrebdnen marcvlebs. maT mxolod xangrZlivi wvrTnis SedegadSeZles sakvebis akenkva. sxva eqsperimentis dros axaldabadebuli batknebi, knutebi da wiwilebiTavs aridebdnen im adgilebs, sadac maT xelovnurad uqmnidnen siRrmis iluzias.siRrmisa ar eSinodaT mxolod ixvis Wuksa da wylis kus. es bunebrivicaa, radgansxva SemTxvevaSi isini ver SeZlebdnen Rrma wyalSi Securvas. Seiswavlesaxaldabadebuli bavSvebic. Cvilebs guliscema uxSirdebodaT, rodesac maT didisimaRlidan qvemoT axedebdnen. eqsperimentuli monacemebis safuZvelze mecnierebma daaskvnes, rom cocxalarsebas dabadebisTanave aqvs sivrcis aRqmis garkveuli unari. rogorc Cans, tvinimemkvidreobiT iRebs erTgvar safuZvels, danarCens ki gamocdilebis meSveobiTiTvisebs. magaliTad, kubis an piramidis sqematuri gamosaxulebis aRqma moculobiTfigurad (sxeulad) uTuod moiTxovs garkveuli mxedvelobiTi Cvevis SemuSavebas.16
  16. 16. 42. romel Sexedulebas ugulebelyofdnen is moazrovneebi, romelTa Sesaxebacsaubaria 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 saWiroebs43. 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 garesamyaros44. teqstis avtoris TqmiT, vizualuri informaciis adekvaturad aRqma, erTiSexedviT, 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 unari45. 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
  17. 17. 46. qvemoT CamoTvlilTagan romelSi aisaxeba srulad wiwilebze Catarebulicdebis 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 SeZles47. meSvide abzacSi dasaxelebul yovel cocxal arsebas aqvs Tandayoliliunari:(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 wyalSi48. meeqvse da meSvide abzacebSi aRwerili eqsperimentebis urTierTSedarebissafuZvelze 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 maTgans49. 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 Tvalsazrisidan18
  18. 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
  19. 19. Savi samuSaosaTvis20
  20. 20. maTematikuri nawilitestis 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; 10. samkuTxedi: 1 ar aris martivi ricxvi. • samkuTxedis kuTxeebis sidideTa jami 180°-is tolia.2. procenti: a ricxvis k% aris ; n • piTagoras Teorema:3. xarisxi: a = a · a · a · ...· a (n-jer) marTkuTxa samkuTxedis an · am = an + m hipotenuzis sigrZis kvadrati tolia kaTetebis an : am = an – m sigrZeTa kvadratebis jamis: m (a n ) = a n · m AB2 = AC2 + BC2 (ix. naxazi).4. proporcia: Tu , maSin ad = bc. • samkuTxedis farTobi manZili5. siCqare: siCqare = samkuTxedis gverdis sigrZisa da Sesabamisi dro simaRlis namravlis naxevaris toli .6. saSualo ariTmetikuli: 11. oTxkuTxedi: monacemTa jamimonacemTa saSualo = • oTxkuTxedis kuTxeebis sidideTa monacemTa raodenoba jamia 360°.7. Semoklebuli gamravlebis formulebi: • marTkuTxedis farTobi misi sigrZisa (a+b)2 = a2 + 2ab + b2; da siganis namravlis tolia: S = ab. (a - b)2 = a2 – 2ab + b2; • paralelogramis farTobi misi gverdis sigrZisa da am gverdis Sesabamisi (a + b)(a – b) = a2 – b2 . simaRlis namravlis tolia: S = ah. 12. wre, wrewiri:8. naxazze kuTxe SeiZlebakuTxis gverdebs Soris • wrewiris sigrZe L misiCasmuli patara rkaliT radiusis mixedviT gamoiTvlebaiyos moniSnuli, marTi formuliT: L = 2πr.kuTxe ki _ patara π ricxvi measedis sizustiT 3,14-is tolia.kvadratiT. • r radiusiani wris farTobi Canaweri: ∠A aRniSnavs A gamoiTvleba formuliT: S = πr2.kuTxis sidides. 13. marTkuTxa paralelepipedi:9. paraleluri wrfeebi: • marTkuTxa paralelepipedis • ori paraleluri moculoba misi sigrZis, siganisa dawrfis mesame wrfiT simaRlis namravlis tolia: V = abc;gadakveTisas Siga jvaredina • kubis SemTxvevaSi: a = b = c.kuTxeebi tolia: α = β. 21
  21. 21. raodenobrivi Sedareba SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi. Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSimocemul raodenobaze, airCieT (a); Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSimocemul raodenobaze, airCieT (b); Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g); Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaameti, airCieT (d). A B51. 12 : (− 4 ) −9:3 (a) (b) (g) (d)52. 6 54 (a) (b) (g) (d) 5 55 a<b<0 (a) (b) (g) (d)53. 2 a 2 b54. 297,2 − 1,007 52 · 6,009 (a) (b) (g) (d) ABCD marTkuTxedis AB gverdis sigrZe metia BC gverdis sigrZeze. (a) (b) (g) (d)55. AB gverdiTa da AC diagonaliT Sedgenili 40° maxvili kuTxis sidide22
  22. 22. x < 056. (a) (b) (g) (d) 5x 7x 2x = 7 – 3y, y>1 57. (a) (b) (g) (d) x 2,2 mocemulia piramida, romelsac sul 8 wibo aqvs. (a) (b) (g) (d) 58. am piramidis 5 wveroebis raodenobaamocanebi59. 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 · 3,560. torti oTxad daWres, Semdeg erT-erTi naWeri daWres samad, am sami naWridanerT-erTi ki _ orad. tortis ramden naWers miiRebdnen sul? (a) 5 (b) 6 (g) 7 (d) 8 (e) 9 23
  23. 23. 61. naxevari kilogramis meramdenedi nawilia 10 grami? 1 (a) 15 (b) 1 20 1 (g) 25 1 (d) 30 1 (e) 5062. eqvskuTxedi dayofilia marTkuTxedad da kvadratad,romelTa zomebi naxazzea miTiTebuli. ramdeni kvadra-tuli santimetria eqvskuTxedis farTobi? (a) 26 (b) 30 (g) 40 (d) 42 (e) 44monacemTa analizi qalaqis municipalitetis davalebiT sxvadasxva wlebSi gamoikvlies, qalaqismosaxleobis ra nawili sargeblobs kerZo transportiT an sazogadoebrivitransportis ama Tu im saxeobiT (aqac da SekiTxvebSic saubaria imaze, rasaxeobis transportiT sargeblobs mosaxleoba upiratesad). cxrilSi mocemulia,1990-1996 wlebSi qalaqis mcxovrebTa ramdeni procenti sargeblobda kerZotransportiT 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 28cxrilis mixedviT upasuxeT Semdeg oTx SekiTxvas:63. qalaqis mcxovrebTa ramdeni procenti mgzavrobda sazogadoebrivitransportiT 1994 wels? (a) 78 (b) 81 (g) 84 (d) 86 (e) 8924
  24. 24. 64. romel wlebSi iyo im mcxovrebTa raodenoba, romlebic mikroavtobusiTmgzavrobdnen, ufro meti, vidre maTi saerTo raodenoba, vinc troleibusiT antramvaiT 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 wlebSi65. ramdenjer naklebi iyo im mcxovrebTa raodenoba, romlebic 1991 wels kerZotransportiT sargeblobdnen, maT raodenobaze, vinc imave wels metropoliteniTsargeblobda? (a) 1,5-jer (b) 2-jer (g) 2,5-jer (d) 3-jer (e) 3,5-jer66. 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)amocanebi67. ramdeniT Semcirdeba ricxvi 837076, Tu mis CanawerSi orive 7-ians SevcvliT5-ianebiT? (a) 4-iT (b) 2000-iT (g) 2020-iT (d) 2 200-iT (e) 2 220-iT 25
  25. 25. y −7 3 y +568. Tu = , maSin y + 6 = 17 17 (a) 0 (b) 1 (g) 2 (d) 3 (e) 469. tolferda samkuTxedis ferdis sigrZea 13 sm, xolo fuZeze daSvebulisimaRle _ 12 sm. ramdeni santimetria am tolferda samkuTxedis fuZis sigrZe? (a) 8 (b) 9 (g) 10 (d) 11 (e) 1370. lia saswavleblad germaniaSi 22 marts a p r i l igaemgzavra. kviris romel dRes gaemgzavra orSabaTi 5 12 19 26lia germaniaSi (naxazze mocemulia momdevno samSabaTi 6 13 20 27 oTxSabaTi 7 14 21 28Tvis _ aprilis kalendari)? xuTSabaTi 1 8 15 22 29 (a) orSabaTs paraskevi 2 9 16 23 30 SabaTi 3 10 17 24 (b) samSabaTs kvira 4 11 18 25 (g) oTxSabaTs (d) xuTSabaTs (e) SabaTs71. ricxvebidan: 25, 45, 50, 72 da 90 SearCieT iseTi ricxvi, romelze2-jer naklebi ricxvi naturaluri ricxvis kvadratia da romelze 9-iT metiricxvic agreTve naturaluri ricxvis kvadratia. (a) 25 (b) 45 (g) 50 (d) 72 (e) 9026
  26. 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, imavedros C-dan B-sken gavida satvirTo matarebeli, romlis siCqarea 40 km/sT. Cqarimatarebeli wamoewia satvirTo matarebels moZraobis dawyebidan 3 saaTis Semdeg.matareblebi Seuferxeblad, Sesvenebis gareSe moZraobdnen. ramdeni kilometriarkinigzis sigrZe A da C qalaqebs Soris? (a) 30 (b) 90 (g) 110 (d) 120 (e) 21073. saerTo wveros mqone kvadratisa da tolgverda samkuT-xedis gverdebiT Sedgenili kuTxeebidan erT-erTis sididea135° (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 TiToeulmaTgans bankisTvis ara marto sesxad aRebuli Tanxa, aramed damatebiT am TanxiserTi da igive nawili unda gadaexadaT. orivem droulad dafara sesxidanamatianad. amisaTvis Tornikem 3000 lari Seitana bankSi. ramdeni lariSeutania bankSi aleqsandres? (a) 4200 (b) 4500 (g) 4800 (d) 5000 (e) 520075. rgolebSi iseTi ricxvebia Cawerili, romerT rgolSi Cawerili ricxvebis jami toliameore rgolSi Cawerili ricxvebis jamisa (ix.naxazi). risi tolia a ? (a) 4 (b) 5 (g) 6 (d) 7 (e) 8 27
  27. 27. raodenobrivi Sedareba SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi. Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSimocemul raodenobaze, airCieT (a); Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSimocemul raodenobaze, airCieT (b); Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g); Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaameti, airCieT (d). A B 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.76. (a) (b) (g) (d) A qalaqSi mcxovreb B qalaqSi mcxovreb axalgazrdaTa axalgazrdaTa raodenoba raodenoba klasSi sul 35 moswavlea. moswavleTa 3 nawili 577. gogonaa, xolo gogonaTa 2 nawili _ Savgvremania. (a) (b) (g) (d) 3 am klasSi Savgvreman 15 gogonaTa raodenoba mimdevrobis yoveli wevri mis momdevno wevrze 2-iT naklebia.78. b40 am mimdevrobis me-40 wevria, b20 _ me-20 wevri. (a) (b) (g) (d) b40 − b20 3628
  28. 28. tolujredebiani badis TiToe- uli ujredis sigrZec da siga- nec 1 sm-is tolia. gamuqebuli oTxkuTxedis wveroebi am badis79. kvanZebSi mdebareobs (ix. naxazi). (a) (b) (g) (d) gamuqebuli oTxkuTxedis farTobi 12 kv. sm koncertze dasaswrebad moswavleebma parterisa da iarusis bileTebi SeiZines. parteris TiToeul bileTSi gadaixades 7 lari, xolo iarusis TiToeul bileTSi _ 5 lari. bileTebis SesaZenad80. moswavleebma sul 140 lari daxarjes. (a) (b) (g) (d) SeZenili bileTebis 24 saerTo raodenoba x da y nebismieri dadebiTi ricxvebia. Tu x ≠ y , maSin x ∗ y aRniSnavs am ricxvebs Soris umciress, (a) (b) (g) (d)81. xolo Tu x = y , maSin x ∗ y = x . (x ∗ 7 ) + ( y ∗ 9 ) x + y +1 wrewirze mdebare B da C wertilebis SemaerTebeli monakveTis sigrZea b. (a) (b) (g) (d)82. am wrewiris sigrZe 4b 29
  29. 29. amocanebi83. gias yulabaSi mxolod 10-TeTriani da 20-TeTriani monetebi aqvs, sul _16 lari. 10-TeTriani monetebis raodenoba 3-jer metia, vidre 20-TeTrianimonetebisa. sul ramdeni cali 20-TeTriani moneta aqvs gias? (a) 35 (b) 32 (g) 30 (d) 28 (e) 2584. sibrtyeze mocemulia marTkuTxa koordinatTasistema. am sibrtyeze mdebare AC monakveTi BwertiliT or tol nawilad iyofa. B da Cwertilebis 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 nawiligadmoiRes, Rviniani kasri 290 kg-s iwonis. ramdeni kilogrami yofila carielikasris wona? (a) 70 (b) 80 (g) 90 (d) 100 (e) 11086. tyviis msrolelma turnirisTvis mosamzadeblad garkveuli raodenobisvaznebi iyida. igi savarjiSod yoveldRiurad erTi da imave raodenobis vaznebsxarjavda. 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) 880030
  30. 30. monacemTa analizicnobilia, rom adamianis fiziologiur sistemaTa umravlesobis qmediTunarianobamaqsimums, anu 100%-s maSin aRwevs, roca adamiani 20 wlisaa. diagramazewarmodgenilia, Tu rogor icvleba saSualod adamianis gulsisxlZarRvTa dakunTovani sistemebis qmediTunarianoba procentulad 20-dan 80 wlamde asakSi.mocemuli 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 wlisasakSi, 40 wlis asakTan SedarebiT? (a) 3-jer (b) 2.8-jer (g) 2,3-jer (d) 2-jer (e) 1,5-jer89. qvemoT CamoTvlili asakobrivi Sualedebidan romelSi mcirdeba kunTovanisistemis qmediTunarianoba ufro metad, vidre gulsisxlZarRvTa sistemisqmediTunarianoba? (a) 20-30 (b) 20-40 (g) 25-35 (d) 30-40 (e) 40-55 31
  31. 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 icvlebaamocanebi91. ricxvis 4-ze gayofisas miRebuli naSTi 3-is tolia. qvemoT CamoTvlilTaganromlis toli ar SeiZleba iyos naSTi amave ricxvis 16-ze gayofisas? (a) 3 (b) 5 (g) 7 (d) 11 (e) 1592. daTo kafeSi sxvadasxva samuSaos asrulebs. SabaTobiT mas 20 lars uxdian,kviraobiT _ 30 lars, sxva dReebSi ki _ 10 lars. maqsimum ramdeni lariSeiZleba gamoimuSaos daTom kafeSi zedized 15 dRis ganmavlobaSi muSaobiT? (a) 190 (b) 200 (g) 210 (d) 220 (e) 23093. marTkuTxedi dayofilia oTx marTkuTxedad,romelTagan erTis farTobi 4 m2-ia, meoris _ 7 m2,mesamisa ki _ 12 m2 (ix. naxazi). ramdeni kvadratulimetria meoTxe marTkuTxedis farTobi? (a) 11 (b) 16 (g) 19 (d) 21 (e) 2832
  32. 32. 94. firmam moiwvia frangulis an germanulis mcodne gogonebi. mowveuligogonebis 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) 12095. x aris 3-is jeradi kenti ricxvi, y ki _ 4-is jeradi ricxvi. Semdegigamosaxulebebidan 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 naxevrebisada kubebisagan sandrom saxlismagvari sxeuliaawyo (ix. naxazi), ise, rom araferi darCenia. sul ramdeni kubi hqonia sandros Tavdapirvelad? (a) 10 (b) 12 (g) 13 (d) 14 (e) 1597. ditos erTnairi burTebi da erTnairi kubebi aqvs. 9 burTi da 3 kubiimdenives iwonis, ramdensac 2 burTi da 8 kubi. ramdeni kubis wona eqneba28 burTs erTad? (a) 12 (b) 14 (g) 16 (d) 18 (e) 20 33
  33. 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 romeliSeiZleba iyos am ansamblis momReralTa asakebis saSualo? (a) 26 weli (b) 27 weli (g) 29 weli (d) 31 weli (e) 34 weli99. gadiddeba Tu Semcirdeba ori ricxvis namravlis mniSvneloba da ramdenjer, 3Tu pirvel Tanamamravls gavadidebT misive nawiliT, xolo meore Tanamamravls 5 3SevamcirebT misive nawiliT? 5 (a) Semcirdeba 25 -jer 9 (b) Semcirdeba 25 -jer 16 (g) gadiddeba 25 -jer 9 (d) gadiddeba 25 -jer 16 (e) arc gadiddeba, arc Semcirdeba100. 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 gverdebiarCeuli monakveTebis toli iqneba. sul ramdeni aseTi erTmaneTis aratoli samkuTxedis daxazvaa SesaZlebeli? (a) 2 (b) 6 (g) 8 (d) 10 (e) 1234

×