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instruqciainstruqciainstruqciainstruqciainstruqcia
testi Sedgeba ori _ verbaluri da maTematikuri _ nawilisagan.
TiToeuli nawili 50 davalebas Seicavs. yovel davalebas axlavs oTxi an
xuTi savaraudo pasuxi, romelTagan mxolod erTia swori.
yuradRebiT waikiTxeT davalebaTa instruqciebi, kargad gaiazreT, ra
mogeTxovebaT TiToeul davalebaSi da Semdeg airCieT pasuxi.
arCeuli pasuxi aucileblad moniSneT pasuxebis furcelze, romelic axlavsarCeuli pasuxi aucileblad moniSneT pasuxebis furcelze, romelic axlavsarCeuli pasuxi aucileblad moniSneT pasuxebis furcelze, romelic axlavsarCeuli pasuxi aucileblad moniSneT pasuxebis furcelze, romelic axlavsarCeuli pasuxi aucileblad moniSneT pasuxebis furcelze, romelic axlavs
tests (Sesabamisi instruqcia ixileT pasuxebis furcelze).tests (Sesabamisi instruqcia ixileT pasuxebis furcelze).tests (Sesabamisi instruqcia ixileT pasuxebis furcelze).tests (Sesabamisi instruqcia ixileT pasuxebis furcelze).tests (Sesabamisi instruqcia ixileT pasuxebis furcelze).
testis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebistestis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebistestis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebistestis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebistestis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebis
testirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclistestirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclistestirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclistestirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclistestirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclis
safuZvelze.safuZvelze.safuZvelze.safuZvelze.safuZvelze.
testis TiToeul nawilze samuSaod geZlevaT 1 saaTi da 30 wuTi.testis TiToeul nawilze samuSaod geZlevaT 1 saaTi da 30 wuTi.testis TiToeul nawilze samuSaod geZlevaT 1 saaTi da 30 wuTi.testis TiToeul nawilze samuSaod geZlevaT 1 saaTi da 30 wuTi.testis TiToeul nawilze samuSaod geZlevaT 1 saaTi da 30 wuTi.
drois amowurvis Sesaxeb gacnobebT meTvalyure.
Tu gaTvaliswinebulze meti droiT SeyovndebiT testis ama Tu im nawilze,Tu gaTvaliswinebulze meti droiT SeyovndebiT testis ama Tu im nawilze,Tu gaTvaliswinebulze meti droiT SeyovndebiT testis ama Tu im nawilze,Tu gaTvaliswinebulze meti droiT SeyovndebiT testis ama Tu im nawilze,Tu gaTvaliswinebulze meti droiT SeyovndebiT testis ama Tu im nawilze,
Tqveni naSromi ar Semowmdeba.Tqveni naSromi ar Semowmdeba.Tqveni naSromi ar Semowmdeba.Tqveni naSromi ar Semowmdeba.Tqveni naSromi ar Semowmdeba.
Tu ar gaqvT romelime davalebis pasuxi, dros nu dakargavT da gadadiT
Semdeg davalebaze.
Canawerebis an naxazebisaTvis gamoiyeneT mxolod da mxolod testis
furclebze arsebuli carieli adgilebi.
gisurvebT warmatebas!gisurvebT warmatebas!gisurvebT warmatebas!gisurvebT warmatebas!gisurvebT warmatebas!
zogadi unarebis testizogadi unarebis testizogadi unarebis testizogadi unarebis testizogadi unarebis testi
20020020020020077777
IVIVIVIVIV
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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. mxedveloba : peizaJi
(a) niWi : erudicia
(b) metyveleba : aqcenti
(g) smena : polifonia
(d) alRo : intuicia
2. Cveva : gadaCveva
(a) sesxi : Casesxeba
(b) wesi : daweseba
(g) saxeli : dasaxeleba
(d) iaraRi : SeiaraReba
3. zogierTi : yvela
(a) eri : kacobrioba
(b) flora : fauna
(g) krebuli : wyeba
(d) kapela : gundi
4. kiTxulobs : teqsti
(a) rwyavs : sarwyavi
(b) sjis : sasjeli
(g) acxobs : sacxobi
(d) kenkavs : sakenki
5. miparva : fexakrefiT
(a) datyveveba : samudamod
(b) Weneba : swrafad
(g) amosunTqva : Tavisuflad
(d) Tqma : calybad
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6. koSki : koSkura
(a) wvima : sawvimari
(b) fexi : safexuri
(g) tba : tbori
(d) miwa : miwuri
7. makrateli : daWra
(a) ornamenti : morTva
(b) iumori : dacinva
(g) ekalbardi : gakafva
(d) melodia : mosmena
8. saidumlo : gaamJRavna
(a) ieriSi : miitana
(b) alya : moxsna
(g) sazRvari : gamijna
(d) barikada : gadalaxa
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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. Tu raime Sens Zal-Rones _____ , nu ityvi, rom is saerTod _____ kacis Zal-Rones. magram is, rac kacs _____ , SenTvisac _____ .
(a) aRemateba / ar aRemateba / ar xelewifeba / miuwvdomelia
(b) ar aRemateba / ar aRemateba / xelewifeba / miuwvdomelia
(g) ar aRemateba / aRemateba / ar xelewifeba / miuwvdomelia
(d) aRemateba / aRemateba / xelewifeba / misawvdomia
10. _____ cnobebi mzis idumali, biologiurad aqtiuri gamosxivebis Sesaxeb, _____ am gamosxivebis arsi. _____ , gasarkvevia adamianis janmrTelobaze mzis
aqtivobis zegavlenis meqanizmi.
(a) vinaidan ar arsebobs araviTari / amitom safuZvlianadaa Seswavlili /
miuxedavad amisa
(b) ar arsebobs araviTari / magram dRemde ucnobia / miuxedavad amisa
(g) vinaidan arsebobs arapirdapiri / amitom safuZvlianadaa Seswavlili / Tumca
(d) arsebobs arapirdapiri / magram dRemde ucnobia / Sesabamisad
11. Znelia, ipovo adamiani, romelic ubedurad miiCnevs Tavs mxolod imitom, rom yuradRebas _____ sulier mdgomareobas. _____ uTuod _____ iqneba is,
vinc Tvalyurs _____ sulis moZraobas.
(a) ar aqcevs sakuTar / swored amitom / bednieri / ar adevnebs sxvisi
(b) aqcevs sakuTar / swored amitom / bednieri / adevnebs sakuTari
(g) ar aqcevs sxvis / magram / ubeduri / ar adevnebs sakuTari
(d) aqcevs sxvis / magram / ubeduri / adevnebs sxvisi
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12. azrovnebis dros adamiani `TavisTvis metyvelebs~. am process Sinagan
metyvelebas uwodeben. Sinagani metyvelebisas adamiani sityvebs mxolod imis
gasaazreblad iyenebs, rac _____ misTvis, subieqtisTvis. _____ is, rac
subieqtisTvis _____ , Sinagan metyvelebaSi _____ .
(a) isedac naTelia / xolo / ar aris cxadi / iCens xolme Tavs
(b) isedac naTelia / Sesabamisad, / TavisTavadac cxadia / ar iCens xolme Tavs
(g) naTeli unda gaxdes / Sesabamisad, / ar aris cxadi / ar iCens xolme Tavs
(d) naTeli unda gaxdes / xolo / TavisTavadac cxadia / ar iCens xolme Tavs
13. X _ XI saukuneebSi taZrebze dekoratiuli elementi Zlierdeba, gumbaTi ufro werweti xdeba, Cndeba uamravi sveti da kamara, magram es danawileba da
Semkoba _____ mTeli Senobis organuli mTlianobiT gamowveul STabeWdilebas.
dacemis xanaSi ki Senobis _____ da gadaWarbebuli _____ Sedegad _____ .
(a) arRvevs / danawevreba ar SeiniSneba / dekoratiulobis / Zlierdeba
ubraloeba da monumenturoba
(b) ar arRvevs / danawevreba ar SeiniSneba / sisadavis / Zlierdeba
dekoratiuloba
(g) arRvevs / danawevreba ukiduresi xdeba / monumenturobis / ikargeba
ubraloeba da mTlianoba
(d) ar arRvevs / danawevreba ukiduresi xdeba / dekoratiulobis / ikargeba
ubraloeba da monumenturoba
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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. xuTi bavSvi simaRlis mixedviT Camwkrivebula: • dimitri ufro maRalia, vidre levani da mari
• mari levanze maRalia, magram sofoze dabali
• niko sofoze dabalia, magram dimitrize maRali
maTgan ramdenia nikoze dabali?
(a) 4
(b) 3
(g) 2
(d) 1
15. A qveyanaSi 2000 wels mkveTri ekonomikuri aRmavloba aRiniSna, Tumca,
amasTan erTad, mniSvnelovnad gauaresda ekologiuri mdgomareoba. eqspertTa
varaudiT, ekologiuri mdgomareobis gauareseba qveyanaSi warmoebis ganviTarebas
ukavSirdeboda.
qvemoT CamoTvlilTagan romeli ayenebs eWvqveS eqspertTa varauds?
(a) 2000 wels A qveyanaSi amuSavda mravali axali sawarmo, romelTa ekologiuri usafrTxoeba ar iyo saTanadod uzrunvelyofili
(b) 2000 wels A qveyanaSi prioritetulad miiCnies metalurgiuli qarxnis amoqmedeba, ris gamoc gaizarda atmosferoSi mavne gamonabolqvis Semcveloba
(g) 2000 wels A qveyanaSi mkveTrad gaizarda sawarmoo danadgarebisa da sxva meqanizmebis asamuSaveblad saWiro sawvavis moxmareba, romelic mavne qimiur
minarevebs Seicavs
(d) 2000 wels A qveyanaSi gaizarda xe-tyis fasi qveyanaSi misi importis garTulebis gamo, ramac gamoiwvia adgilobrivi tyeebis masobrivi gaCexva
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16. davuSvaT, rom: • yvela meviolines uyvars poezia
• orkestris zogierT musikoss ar uyvars poezia
Tu es debulebebi WeSmaritia, maSin qvemoT CamoTvlilTagan romeli debuleba
ar SeiZleba iyos WeSmariti?
(a) poeziis moyvaruli zogierTi musikosi ar aris mevioline
(b) mxolod meviolineebs uyvarT poezia
(g) meviolineebi orkestris musikosebi arian
(d) mxolod meviolineebi arian orkestris musikosebi
17. adgilobriv arCevnebze erT-erT saarCevno olqSi erTmaneTs metoqeobas
uwevda ori partia _ A da B. A partiis mTavari debuleba iyo saSualo da umaRlesi skolis pedagogTaTvis socialuri pirobebis gaumjobeseba, xolo B partiisa _ kvalificiuri muSaxelisTvis samuSao adgilebis Seqmna. gaimarjva B partiam. analitikosebma es imiT axsnes, rom A partiam arasworad SearCia
winasaarCevno programis mTavari debuleba.
qvemoT CamoTvlilTagan romeli matebs damajereblobas analitikosTa mosazrebas?
(a) arCevnebis dros dafiqsirda mravali seriozuli darRveva B partiis sasargeblod
(b) A partiam gacilebiT naklebi winasaarCevno Sexvedra Caatara amomrCevlebTan, vidre _ B partiam
(g) es saarCevno olqi tradiciulad sawarmoo regioni iyo, romlis mosaxleobis
ZiriTad nawils gamocdili muSaxeli Seadgens
(d) am saarCevno olqSi ramdenime prestiJuli umaRlesi saswavlebelia,
romlebSic, ZiriTadad, maRali donis profesionalebi moRvaweoben
18. Sejibridan, romelSic giorgi, andro, dito da levani monawileobdnen,
erTmaneTisgan sruliad gansxvavebuli ambebi mohqondaT:
• giorgim daikava I adgili, androm ki _ II
• giorgim II adgili daikava, ditom ki _ III
• II adgili levanma daikava, ditom ki _ IV
aRmoCnda, rom TiToeuli am cnobis erTi nawili marTalia, meore ki _ tyuili.
romeli adgili daikava androm?
(a) IV
(b) III
(g) II
(d) I
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wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
cocxali organizmebis nebismier saxeobas aqvs garkveuli `istoriuli
samSoblo~, iseTi adgili, saidanac is msoflioSi gavrcelda. adamianis samSobloa
aRmosavleT afrika, cxenis _ aRmosavleT evropis stepi, Sinauri qaTmisa _
indoCineTi. adamianis samSoblod afrikas imitom miviCnevT, rom swored am
kontinentzea napovni adamianis winaprebis uZvelesi namarxebi. samxreT-aRmosavleT
aziaSi dRemde cxovrobs gareuli qaTami. ruseTisa da ukrainis stepebSi,
yorRanebSi, arqeologebma aRmoaCines moSinaurebuli cxenis uZvelesi gamosaxulebani.
amitom, savaraudod, es regioni unda iyos cxenis moSinaurebis kera.
veluri cxovelebis umravlesobisTvis aseTi pirdapiri sabuTebi iSviaTia.
genetikuri meTodebis farTo gavrcelebamde daskvnebi sxva meTodebis safuZvelze
keTdeboda. xSirad msjelobdnen saxeobis paleontologiuri monapovris mixedviT. im
adgils, sadac uZveles namarxebs aRmoaCendnen, miiCnevdnen saxeobis samSoblod. amave
dros, yvela saxeobis paleontologiuri namarxi aRmoCenili rodia. zogjer
mopovebuli masala imdenad mwiria, rom mis safuZvelze veraviTar daskvnas ver
gamovitanT.
zogierTi biologi fiqrobs, rom garkveuli jgufis samSoblo iqaa, sadac
aRiniSneba misi gansakuTrebuli mravalferovneba. magaliTad, axlo aRmosavleTi
aRiarebulia xorblis samSoblod, radgan swored aq gvxvdeba xorblis uamravi jiSi.
am mosazrebas, romelic cnobil rus botanikoss, vavilovs ekuTvnis, aseTi safuZveli
aqvs: droTa ganmavlobaSi populaciaSi warmoiqmneba genetikuri mravalferovneba.
amitom iq, sadac saxeoba an saxeobaTa jgufi didxans arsebobs, mravalferovnebac
didi iqneba. `samSoblos~ gareT vrceldeba populaciis mxolod erTi nawili,
romlis genetikuri mravalferovneba SedarebiT mcirea. jgufis `samSobloSi~
saxeobaTa raodenoba ufro meti iqneba, vidre axlad aTvisebul teritoriaze.
Tumca, avstraliis kontinentze CanTosnebis gansakuTrebuli
mravalferovneba ar niSnavs imas, rom es jgufi avstraliaSi warmoiSva. 230
milioni wlis winaT dedamiwis yvela kontinenti erTian gigantur materiks, e.w.
pangeas warmoadgenda. ZuZumwovarTa ufro agresiul jgufebTan konkurenciis
gamo CanTosnebma amJamindeli aziis teritoriidan samxreTisken gadainacvles. mas
Semdeg, rac isini axlandeli avstraliis teritoriaze aRmoCndnen, avstralia
gamoeyo pangeas. avstraliis izolaciis gamo umaRles ZuZumwovrebs aq moxvedra
gaurTuldaT. sxva kontinentebze umaRles ZuZumwovrebTan konkurenciam xeli
SeuSala CanTosnebis gavrcelebas. avstraliaSi ki CanTosnebma aiTvises is niSebic,
romlebsac sxvagan umaRlesi ZuZumwovrebi ikavebdnen.
romelime jgufis gansakuTrebuli mravalferovneba SeiZleba meoradic iyos.
is, rom britaneTSi mtredebisa Tu ZaRlebis jiSebi gansakuTrebiT
mravalferovania, sulac ar niSnavs, rom es regioni mtredis da ZaRlis
samSobloa. britaneTSi gansakuTrebiT Zlier iyo ganviTarebuli seleqciis
meTodebi. britaneTis imperiis xanaSi aq msoflios TiTqmis yvela kuTxidan
SemohyavdaT Sinauri cxovelebi da gamohyavdaT axali jiSebi.
SesaZlebelia Tu ara cxovelTa jgufis `samSoblos~ dadgena im SemTxvevaSi,
rodesac ar gagvaCnia paleontologiuri masala? pasuxi martivia: regioni K aris ueWvelad jgufi A-s samSoblo, Tu am jgufSi pirveladi evoluciuri ganStoeba swored K-Si moxda. genetikuri gamokvlevebi momavalSi mravali saxeobis
`samSoblos~, anu evoluciur keras gamoavlens. genetikuri meTodebis
SesaZleblobebi am mxriv jer kidev ar aris srulad gamoyenebuli.
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19. Semdegi oTxi winadadebidan, romlebic I abzacSi gvxvdeba, romels ar aqvs argumentis funqcia?
(a) am kontinentzea napovni adamianis winaprebis uZvelesi namarxebi
(b) ruseTisa da ukrainis stepebSi arqeologebma aRmoaCines moSinaurebuli
cxenis uZvelesi gamosaxulebani
(g) samxreT-aRmosavleT aziaSi dRemde cxovrobs gareuli qaTami
(d) es regioni unda iyos cxenis moSinaurebis kera
20. qvemoT CamoTvlilTagan romeli mimarTebaa warmodgenili III abzacSi?
(a) rac ufro didia saxeobis mravalferovneba regionSi, miT ufro savaraudoa,
rom is didxans arsebobs aq, da, Sesabamisad, aqaa misi samSoblo
(b) rac ufro didxans arsebobs saxeoba regionSi, miT ufro nakleb savaraudoa, rom
aq misi genetikuri mravalferovneba mcirea da, rom misi samSoblo aqaa
(g) rac ufro didia genetikuri mravalferovneba populaciis im nawilisa,
romelic samSoblos gareT arsebobs, miT ufro savaraudoa, rom saxeobaTa
raodenoba samSobloSic didi iqneba
(d) rac ufro didxans arsebobs saxeobaTa jgufi regionSi, miT ufro nakleb
savaraudoa, rom jgufis samSobloSi saxeobaTa raodenoba meti iqneba, vidre
_ axlad aTvisebul teritoriaze
21. teqstSi miTiTebuli geologiuri movlenis Sedegebi SeiZleba ase
CamovayaliboT:
(a) ZuZumwovarTa agresiulma jgufebma CanTosnebi pangeas samxreTisken gandevnes,
sadac maT aiTvises yvela mniSvnelovani ekologiuri niSa
(b) pangeas daSlis Semdeg avstraliaSi CanTosnebi arakonkurentul garemoSi
aRmoCndnen, ramac aq maTi gansakuTrebuli mravalferovneba ganapiroba
(g) avstraliis izolaciis Sedegad CanTosnebs gaurTuldaT sxva kontinentebze
moxvedra da umaRles ZuZumwovrebs konkurencia ver gauwies
(d) pangeas dayofis Semdeg avstraliis kontinentze aRmoCnda CanTosanTa
populaciis is nawili, romlis genetikuri mravalferovneba SedarebiT didia
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22. ra mimarTebaa III, IV da V abzacebs Soris?
(a) samive abzacSi warmodgenilia sxvadasxva Teoriis Sesabamisi magaliTebi,
romelTagan zogierTi bunebriv viTarebas exeba, zogi ki _ xelovnurad Seqmnils
(b) III abzacSi warmodgenilia Teoria, romlis Sesabamisi konkretuli magaliTebi
ganxilulia IV da V abzacebSi
(g) samive abzaci erTsa da imave movlenas exeba, Tumca IV da V abzacebSi
aRwerili viTarebebi ewinaaRmdegeba III abzacSi warmodgenil Teorias
(d) IV abzacSi ganxiluli viTareba eWvqveS ayenebs III abzacSi warmodgenil
Teorias, V abzacSi aRwerili viTareba ki _ ganamtkicebs mas
23. teqstSi aRweril romel viTarebas SeiZleba miesadagebodes bolo abzacSi mocemuli `gasaRebi~ (K regionsa da A jgufze)?
(a) britaneTSi seleqciis Sedegad gamoyvanilia mtredebisa Tu ZaRlebis uamravi
jiSi
(b) avstraliis kontinentze CanTosnebis gansakuTrebuli mravalferovneba
aRiniSneba
(g) ruseTisa da ukrainis stepebSi mopovebulia mdidari paleontologiuri
masala cxenis gamosaxulebebiT
(d) axlo aRmosavleTSi gamovlenilia xorblis jiSebis didi mravalferovneba
24. qvemoT CamoTvlilTagan romeli ar aris marTebuli?
(a) vavilovis mosazreba xSir SemTxvevaSi SeiZleba WeSmariti aRmoCndes
(b) CanTosanTa saxeobaSi pirveladi evoluciuri ganStoeba avstraliis
kontinentze ar warmoqmnila
(g) mas Semdeg, rac mecnierebaSi genetikuri kvlevis meTodebi damkvidrda,
dazustda TiToeuli saxeobis evoluciuri kera
(d) saxeobaTa mravalferovneba, romelic seleqciuri meTodebis ganviTarebiTaa
ganpirobebuli, meoradia
25. ra aris mocemuli teqstis ZiriTadi daniSnuleba?
(a) saxeobaTa evoluciuri keris gamovlenaSi genetikuri meTodebis mniSvnelobis
warmoCena
(b) saxeobaTa istoriuli samSoblos dadgenis Tanamedrove meTodebis SedarebiTi
analizi
(g) saxeobaTa mravalferovnebis ganmapirobebeli mizezebis ganxilva
(d) saxeobaTa mravalferovnebis gansazRvraSi genetikuri da seleqciuri
meTodebis rolis warmoCena
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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. mRvrie : amRvrevs
(a) vrceli : avrcelebs
(b) mcdari : acdens
(g) mSrali : aSrobs
(d) fuWi : afuWebs
27. sazRvao porti : aerodromi
(a) sajinibo : ipodromi
(b) saxuravi : sxveni
(g) sabado : saamqro
(d) Teatri : cirki
28. gaisad : samomavlod
(a) amJamad : axlave
(b) SarSan : uwin
(g) mere : Semdgom
(d) guSin : zeg
29. samxatvro saxelosno : sagamofeno darbazi
(a) sawnaxeli : yanwi
(b) maRaro : gvirabi
(g) wisqvili : tomara
(d) maRazia : vitrina
30. lamfa : siTbo
(a) CiraRdani : sinaTle
(b) sigara : Tambaqo
(g) buxari : kvamli
(d) SeSa : nacari
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31. eqsperimenti : kvlevis meTodi
(a) warmosaxva : fantazia
(b) metyveleba : komunikacia
(g) stimuli : reaqcia
(d) Teoria : hipoTeza
32. taiga : jungli
(a) teqsti : sqolio
(b) speqtakli : scenari
(g) romani : poema
(d) musika : simfonia
33. individi : sazogadoeba
(a) mevioline : orkestri
(b) eqimi : konsiliumi
(g) lideri : fraqcia
(d) konkursanti : Jiuri
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. qsenofonte werda: `lakedemonelebi ufro _____ arian, vidre Cveni Tvalebis gogonebi _ Cveni gugebi~. RmerTo Cemo! vis mouva TavSi azrad, _____ uwodos
gugebs, maSin rodesac yvelas mSvenivrad moexseneba, rom kacis _____ , upirveles
yovlisa, missav TvalebSi _____ .
(a) morcxvni da kdemamosilni / morcxvi / kdemamosileba / vlindeba
(b) urcxvni da utifarni / utifari / urcxvoba / vlindeba
(g) morcxvni da kdemamosilni / kdemamosili / urcxvoba / vlindeba
(d) urcxvni da utifarni / urcxvi / kdemamosileba / ar vlindeba
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35. miuxedavad imisa, rom sazogadoebis cxovrebaSi moxda fundamenturi
cvlilebebi, rac, uwinares yovlisa, azris gamoTqmisa da qcevis _____ gamoixata,
_____ , rom arsebuli normebis winaaRmdeg amboxi sazogadoebisTvis _____
iqca, rom wesebis dacva _____ .
(a) met TavisuflebaSi / ver vityviT / misaReb movlenad / araaqtualuria
(b) Tavisuflebis SezRudvaSi / ver vityviT / misaReb movlenad / aqtualuria
(g) met TavisuflebaSi / dabejiTebiT SeiZleba vTqvaT / miuRebel qmedebad / araa
aucilebeli
(d) Tavisuflebis SezRudvaSi / dabejiTebiT SeiZleba vTqvaT / miuRebel qmedebad /
saZraxisia
36. qarTveli kaci mudam scenaze grZnobs Tavs. SesaZloa, scenaze gasvlis
moTxovnileba imanac gagvimZafra, rom ufro xSirad _____ , rom namdvili, didi
moqmedeba _____ mimdinareobda, _____ pirovneba _____ da `profesional~
statistad iqceva.
(a) kulisebSi gvixdeboda dgoma / Cveni aqtiuri monawileobiT / Tumca, isec xom
xdeba, rom avanscenas mocilebuli / efeqturad moqmedebis survils amJRavnebs
(b) kulisebSi gvixdeboda dgoma / Cvengan Sors, Cveni monawileobis gareSe /
Tumca, isec xom xdeba, rom avanscenas mocilebuli / TandaTan kargavs
moqmedebis survils
(g) artistuli qmedebis survils vamJRavnebdiT / Cvengan Sors, Cveni
monawileobis gareSe / Sesabamisad, asec xdeba: avanscenaze myofi / TandaTan
kargavs moqmedebis survils
(d) artistuli qmedebis survils vamJRavnebdiT / Cveni aqtiuri monawileobiT /
Sesabamisad, asec xdeba: kulisebSi mimaluli / efeqturad moqmedebis survils
amJRavnebs
37. enaSi daSvebul _____ unebur uzustobaTa garda, uzustobebi zogjer
WeSmariti saTqmelisa da WeSmariti miznebis _____ , anu _____ uneburi
uzustoba _____ .
(a) marTlac / SesaniRbavad gamoiyeneba / viTomda / ganpirobebulia garkveuli
mizniT
(b) viTomda / SesaniRbavad gamoiyeneba / viTomda / winaswari ganzraxviT araa
daSvebuli
(g) marTlac / gamJRavnebisas iCens Tavs / marTlac / winaswari ganzraxviT araa
daSvebuli
(d) viTomda / gamJRavnebisas iCens Tavs / marTlac / ganpirobebulia garkveuli
mizniT
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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. dimitri darwmunebuli iyo, rom Tanamedrove jazuri musikis konkursSi
gaimarjvebda axalgazrda momRerali B. magram rodesac konkursSi gamarjvebulebi daasaxeles, maT Soris B ar aRmoCnda. dimitrim amis mizezad Jiuris wevrTa araobieqturoba miiCnia.
qvemoT CamoTvlilTagan romeli ayenebs eWvqveS dimitris am mosazrebas?
(a) gamarjvebulTa umetesoba Jiuris ramdenime wevris _ saxelganTqmuli
musikosebis _ yofili moswavle iyo
(b) dimitris prognozi, ZiriTadad, emyareboda im adamianTa Sefasebebs, romlebic
B-s Tayvanismcemlebi iyvnen (g) vokalis cnobili specialistebi B-s niWier, perspeqtiul momRerlad
miiCnevdnen da warmatebas uwinaswarmetyvelebdnen
(d) is Janri, romelSic moRvaweobda momRerali B, gansakuTrebiT popularuli iyo musikis moyvarulTa Soris
39. zuras saaTi zust dros 5 wuTiT CamorCeba, magram mas hgonia, rom misi saaTi zustia. ninosTan sapirispiro viTarebaa _ misi saaTi zustia, mas ki
hgonia, rom saaTi 5 wuTiT CamorCeba. ninos da zuras paemani aqvT daniSnuli _
isini erTmaneTs unda Sexvdnen saRamos 6 saaTze. Sexvedris adgilas orive im
dros mivida, roca TiToeuli maTganis saaTi zustad 6 saaTs uCvenebda.
qvemoT CamoTvlilTagan romelia marTebuli?
(a) paemanze nino ufro adre mivida da lodini mouxda
(b) paemanze zura ufro adre mivida da lodini mouxda
(g) nino da zura Sexvedris adgilas erTdroulad mividnen
(d) mocemuli informacia araa sakmarisi imis dasadgenad, mouxda Tu ara
romelime maTgans lodini
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40. mocemulia: • greipfruti mwife forToxali ar aris
• yvela mwife forToxals sasiamovno gemo aqvs
• forToxali xilia
qvemoT CamoTvlilTagan romeli debuleba gamomdinareobs erTad aRebuli samive
am monacemidan da ar gamomdinareobs arc erTi maTganidan cal-calke?
(a) greipfruts ara aqvs iseTive sasiamovno gemo, rogoric _ mwife forToxals
(b) yvela mwife xils, Tuki is ar aris greipfruti, sasiamovno gemo aqvs
(g) sasiamovno gemos mqone zogierTi xili ar aris greipfruti
(d) usiamovno gemos mqone mwife forToxali ar arsebobs
41. mocemulia:
• yvela lomi mtacebeli cxovelia
• afrikaSi mtacebeli cxovelebi binadroben
maSasadame, afrikaSi lomebi binadroben.
es daskvna:
(a) gamomdinareobs erToblivad orive wanamZRvridan
(b) gamomdinareobs TiToeuli wanamZRvridan cal-calke
(g) gamomdinareobs mxolod erT-erTi wanamZRvridan
(d) ar gamomdinareobs mocemuli wanamZRvrebidan
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wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
yoveldRiur cxovrebaSi adamianze zemoqmedebs sxvadasxvagvari informacia.
informaciis gadamuSavebis erT-erT saSualebas e. w. evristikuli strategiebi
warmoadgens. evristikuli azrovnebis procesSi adamiani iyenebs azrovnebis garkveul
wess, romelic mxolod calkeul, konkretul viTarebaSi SeiZleba iyos gamosadegi.
am dros ar xdeba problemis gadawyvetis mravalmxrivi da siRrmiseuli saSualebebis
Zieba. gansjis evristikuli strategia mniSvnelovnad gansxvavdeba sistemuri
azrovnebisgan, romlis drosac adamiani mis winaSe wamoWril problemas mravalmxriv
ganixilavs, awon-dawonis gadawyvetilebis sxvadasxva alternativas da cdilobs
zustad gansazRvros mosalodneli Sedegi. evristikul strategias adamiani
mimarTavs im SemTxvevaSi, Tu gasaazrebeli Tema scildeba misi piradi interesebis
sferos da mas araferi ubiZgebs informaciis sistemuri analizisken; agreTve maSin,
rodesac adamians ar aqvs sistemuri azrovnebisTvis saWiro specialuri unar-Cvevebi,
an miwodebuli informacia rTuli struqturisaa da Znelad gasagebi.
evristikuli azrovnebis erT-erTi forma ganwyobiseuli* evristikaa, romlis
kanonzomierebani e. pretkanisma da e. grinvaldma Seiswavles. miRebuli monacemebis
analizis safuZvelze am avtorebma daaskvnes, rom adamianebs socialuri garemos
aRqma da gaazreba ganwyobiseuli evristikuli strategiebis gamoyenebiT SeuZliaT.
ganwyobiseulma evristikam SeiZleba zegavlena moaxdinos imaze, Tu ras miiCnevs
adamiani marTebulad. erT-erTi gamokvlevis mixedviT, pirovnebis mier ama Tu im
debulebis _ rogorc WeSmaritis, an rogorc mcdaris _ Sefaseba ganpirobebulia
misi damokidebulebiT im obieqtebisa da movlenebis mimarT, romelTa Sesaxebac
saubaria am debulebaSi. eqsperimentSi cdispirebs sTxoves, maTTvis micemuli ori
debulebidan amoerCiaT is, romelic marTebulad miaCndaT. 1) `kolejSi ronald
reigani warCinebuli moswavle iyo~; 2) `kolejSi ronald reigans saSualoze dabali akademiuri moswreba hqonda~. miRebuli Sedegebis Tanaxmad, cdispirebma, romlebic reiganis mimarT dadebiTad iyvnen ganwyobilni, marTebulad miiCnies pirveli
debuleba, xolo uaryofiTad ganwyobilebma _ meore debuleba.
xSirad adamianebs erTmaneTis Sesaxeb zogadi STabeWdileba calkeuli
maxasiaTeblis safuZvelze eqmnebaT. ganwyobiseuli evristikis am gamovlinebas
Saravandedis efeqts uwodeben. Saravandedis efeqti pirvelad s. eSma Seiswavla. misi
gamokvlevis Tanaxmad, erT-erTi `centraluri~ maxasiaTebeli, romelic gansazRvravs
zogad STabeWdilebas, adamianis gulkeTilobaa. eqsperimentSi cdispirebs
sTavazobdnen pirovnuli Tvisebebis CamonaTvals: goniereba, praqtikuloba,
Sromismoyvareoba, gambedaoba, gulkeTiloba da sTxovdnen yvela am maxasiaTeblis
mqone pirovnebis aRweras. cdispirebis mier aRwerili pirovnebisaTvis sibrZne,
iumori da fantaziis unari aRmoCnda damaxasiaTebeli. rodesac imave CamonaTvalSi
eqsperimentatorma sityva `gulkeTiloba~ `gulcivobiT~ Secvala, cdispirebs
warmosaxuli pirovnebis Sesaxeb gansxvavebuli STabeWdileba SeeqmnaT. cxadia, rom es
gansxvaveba mxolod erTma zedsarTavma saxelma ganapiroba.
ganwyobiseuli evristikis erT-erTi gamovlineba e. w. mcdari erTsulovnebis
efeqtia. aRniSnuli movlena gulisxmobs subieqtis mier im adamianTa raodenobis
gazviadebas, romlebic mas ama Tu im sakiTxSi eTanxmebian. erT-erT gamokvlevaSi
studentebs mimarTes TxovniT, studqalaqis teritoriaze sareklamo plakatiT
gasuliyvnen. studentebs, romlebic am Txovnas daTanxmdnen, miaCndaT, rom didi
umravlesoba imaves gaakeTebda, xolo is studentebi, romlebmac Txovnaze uari
ganacxades, fiqrobdnen, rom amgvar winadadebaze TiTqmis aravin daTanxmdeboda.
*ganwyoba _ (aq) winaswar Camoyalibebuli damokidebuleba ama Tu im movlenis/obieqtis
mimarT, romelic safuZvlad udevs mis Sefasebas
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42. I abzacis Tanaxmad, evristikuli azrovneba:
(a) sistemuri azrovnebisgan gansxvavebiT, gamoiyeneba ara problemis gadasawyvetad,
aramed miRebuli mravalferovani informaciis gasaanalizeblad
(b) warmoadgens informaciis gadamuSavebis gzas, romelic gansxvavdeba sistemuri
azrovnebisgan, Tumca, isic problemis gadawyvetas emsaxureba
(g) SeiZleba miviCnioT sistemuri azrovnebis analogad, romelic problemis
gadawyvetis msgavsi meqanizmebiTa da kanonzomierebebiT xasiaTdeba
(d) sistemur azrovnebasTan SedarebiT, im upiratesobiT xasiaTdeba, rom mxolod
konkretul viTarebaSia gamosadegi
43. sistemur azrovnebasa da evristikul azrovnebas Soris iseTive mimarTebaa, rogoric arsebobs:
(a) xelovnebis nimuSsa da musikalur nawarmoebs Soris
(b) ferwerul nawarmoebsa da Canaxats Soris
(g) portretsa da naturmorts Soris
(d) melodiasa da bgeras Soris
44. riT SeiZleba iyos ganpirobebuli evristikuli strategiebis gamoyeneba?
(a) sistemuri azrovnebis struqturis sirTuliT
(b) problemis gadaWris sxvadasxva alternativis arsebobiT
(g) problemis siRrmiseuli analizis stimulisa da saSualebebis ararsebobiT
(d) konkretuli viTarebebis mravalgvarobiTa da maTi specifikis gansazRvris
aucileblobiT
45. II abzacSi aRwerili eqsperimentis Sedegebis safuZvelze SeiZleba davaskvnaT, rom:
(a) adamianebi gaiazreben da aRiqvamen TavianT socialur garemos upiratesad
ganwyobiseuli evristikuli strategiebis meSveobiT
(b) esa Tu is debuleba WeSmaritia an mcdaria imisda miuxedavad, Tu rogoria
adamianTa damokidebuleba am debulebis mimarT
(g) ganwyobiseuli evristikuli strategiebi gamoiyeneba, ZiriTadad, gamorCeuli
pirovnebebis Sesafaseblad
(d) ganwyobiseuli evristika zogjer gavlenas axdens adamianis mier socialuri
garemos aRqmasa da Sefasebaze
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46. qvemoT CamoTvlilTagan romeli SeiZleba CaiTvalos ganwyobiseuli evristikis gamovlinebad?
(a) Teatraluri kritikosebi speqtakls warmatebas uwinaswarmetyvelebdnen;
marTlac, am speqtaklma mayurebelTa didi mowoneba daimsaxura
(b) Tedos gamorCeulad moswonda erT-erTi sportuli firmis nawarmi; man
saukeTesod miiCnia am firmis is maisuric, romelic, sxvebis azriT,
sawinaaRmdego Sefasebas imsaxurebda
(g) mxatvris namuSevarTa gamofena moewyo prestiJul sagamofeno darbazSi; aman
mis megobrebze Zlieri STabeWdileba moaxdina
(d) ninom warmatebiT gaiara staJireba erT-erT wamyvan organizaciaSi;
organizaciis xelmZRvanelobam mas TanamSromlobis metad xelsayreli pirobebi
SesTavaza
47. III abzacSi aRweril movlenas Saravandedis efeqts uwodeben, radgan:
(a) im maxasiaTebels, romelic gansazRvravs zogad STabeWdilebas, gulkeTiloba
warmoadgens
(b) adamianis Sesaxeb STabeWdilebas gansazRvravs TvisebaTa mTeli CamonaTvali
(g) gulkeTiloba cdispirTaTvis ufro mimzidveli maxasiaTebelia, vidre _
gulcivoba
(d) erTi maxasiaTebeli gansazRvravs cdispirTa zogad warmodgenas warmosaxuli
adamianis Sesaxeb
48. savaraudod, romel Tvisebebs miawerdnen cdispirebi warmosaxul pirovnebas mas Semdeg, rac sityva `gulkeTiloba~ `gulcivobiT~ Secvales?
(a) cinikuri, cbieri, moxerxebuli
(b) Wkviani, sevdiani, realisti
(g) gulubryvilo, xumara, mfrTxali
(d) uniWo, mSvidi, mizandasaxuli
49. romeli daskvnaa marTebuli bolo abzacSi aRwerili eqsperimentis Sedegebis mixedviT?
(a) miuxedavad imisa, gaiares Tu ara studentebma studqalaqSi sareklamo
plakatiT, maTi pasuxebi erTi da imave fenomeniTaa ganpirobebuli
(b) studentebi, romlebic daTanxmdnen eqsperimentatoris Txovnas, mcdari
erTsulovnebis tendencias avlendnen, xolo studentebi, romlebmac uari
ganucxades mas, am tendenciis sawinaaRmdegod moqmedebdnen
(g) studentebs, romlebmac sareklamo plakatiT gaiares studqalaqis
teritoriaze, sjerodaT, rom sxvebi maT mxars dauWerdnen, isini ki, vinc uari
ganacxada plakatis tarebaze, sxvebis azrs ar iTvaliswinebdnen
(d) miuxedavad imisa, gaiares Tu ara studentebma studqalaqSi sareklamo
plakatiT, isini gazviadebulad afasebdnen eqsperimentSi monawileTa raodenobas
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50. qvemoT Tezisebis saxiT warmodgenilia TiToeuli abzacis ZiriTadi azri
(maTi rigiTi nomeri SesaZloa ar emTxveodes teqstSi abzacebis Tanmimdevrobas):
1. adamianis winaswar Camoyalibebuli damokidebuleba ama Tu im movlenis
mimarT safuZvlad udevs mis mier am movlenis Sefasebas
2. adamianebs sjeraT, rom sxvebic imgvaradve moiqcevian, rogorc TviTon
iqcevian
3. adamianis Sesaxeb STabeWdilebis Seqmnaze gansakuTrebul zegavlenas axdens garkveuli kategoriis Tvisebebi
4. adamiani informaciis gadamuSavebis procesSi konkretuli viTarebis Sesabamisad iyenebs azrovnebis sxvadasxva strategias
romel abzacebs Seesabameba es Tezisebi, anu pasuxis variantebidan romelia
marTebuli?
(a) I abzaci _ 1, II abzaci _ 3, III abzaci _ 4, IV abzaci _ 2
(b) I abzaci _ 4, II abzaci _ 1, III abzaci _ 3, IV abzaci _ 2
(g) I abzaci _ 1, II abzaci _ 4, III abzaci _ 2, IV abzaci _ 3
(d) I abzaci _ 4, II abzaci _ 2, III abzaci _ 1, IV abzaci _ 3
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Savi samuSaosaTvis
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maTematikuri nawili
testis maTematikur nawilze muSaobisas gaiTvaliswineT:
• naxazebi, romlebic erTvis zogierT davalebas, araa Sesrulebuli davalebis
pirobaSi miTiTebuli zomebis zusti dacviT. amitom monakveTebis sigrZis an sxva
sidideebis Sesaxeb daskvnis gamotanisas nu daeyrdnobiT naxazis zomebs. yuradReba
gaamaxvileT davalebis pirobaze;
• Tu naxazze mocemuli swori xazis Sesaxeb amocanis pirobaSi damatebiT araferia
naTqvami, maSin unda CaTvaloT, rom es swori xazi _ wrfea an misi nawili;
• testSi gamoyenebulia ricxvTa Caweris mxolod aTobiTi poziciuri sistema.
maTematikuri aRniSvnebi da formulebi:
1. nuli arc dadebiTia da arc uaryofiTi; 1 ar aris martivi ricxvi.
2. procenti: a ricxvis k% aris ;
3. xarisxi: an = a · a · a · ...· a (n-jer)
an · am = an + m
an : am = an – m
(an)m = an · m
4. proporcia: Tu , maSin ad = bc.
5. siCqare: dro
manZilisiCqare =
6. saSualo ariTmetikuli:
raodenoba monacemTa
jami monacemTasaSualo monacemTa =
7. Semoklebuli gamravlebis formulebi: (a+b)2 = a2 + 2ab + b2;
(a - b)2 = a2 – 2ab + b2;
(a + b)(a – b) = a2 – b2 . 8. naxazze kuTxe SeiZleba kuTxis gverdebs Soris
Casmuli patara rkaliT
iyos moniSnuli, marTi
kuTxe ki _ patara
kvadratiT.
Canaweri: ∠A aRniSnavs A kuTxis sidides.
9. paraleluri wrfeebi: • ori paraleluri
wrfis mesame wrfiT
gadakveTisas Siga jvaredina
kuTxeebi tolia: α = β.
10. samkuTxedi: • samkuTxedis kuTxeebis sidideTa
jami 180°-is tolia. • piTagoras Teorema:
marTkuTxa samkuTxedis
hipotenuzis sigrZis
kvadrati tolia kaTetebis
sigrZeTa kvadratebis jamis:
AB2 = AC2 + BC2 (ix. naxazi).
• samkuTxedis farTobi
samkuTxedis gverdis sigrZisa da Sesabamisi
simaRlis namravlis naxevris tolia .
11. oTxkuTxedi: • oTxkuTxedis kuTxeebis sidideTa
jamia 360°. • marTkuTxedis farTobi misi sigrZisa
da siganis namravlis tolia: S = ab. • paralelogramis farTobi misi
gverdis sigrZisa da am gverdis Sesabamisi
simaRlis namravlis tolia: S = ah.
12. wre, wrewiri: • wrewiris sigrZe L misi
radiusis mixedviT gamoiTvleba
formuliT: L = 2πr. ricxvi π measedis sizustiT 3,14-is tolia.
• r radiusiani wris farTobi gamoiTvleba formuliT: S = πr2.
13. marTkuTxa paralelepipedi: • marTkuTxa paralelepipedis
moculoba misi sigrZis, siganisa da
simaRlis namravlis tolia: V = abc; • kubis SemTxvevaSi: a = b = c.
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raodenobrivi Sedareba
SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi. Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSi
mocemul raodenobaze, airCieT (a);
Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSi mocemul raodenobaze, airCieT (b);
Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g);
Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaa
meti, airCieT (d).
A B
51. (a) (b) (g) (d)
52.
(a) (b) (g) (d)
53.
A, B da C wertilebi wrewirze mdebareobs. B da C wertilebis SemaerTebeli monakveTi wrewiris
centrze gadis (ix. naxazi). °=∠ 60ABC .
(a) (b) (g) (d)
54. a > b, b > 0
(a) (b) (g) (d)
55.
(a) (b) (g) (d)
4,136,151,196,154,13 −−++ 8,147,164,187,168,14 −−++
sigrZemonakveTisABsigrZeradiusis wrewirisam
a2− b
2−
764·3061
173156−
210 102
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23
56.
badis TiToeuli ujredis
sigrZec da siganec 1 sm-ia. ABCD oTxkuTxedis A, B da D wveroebi badis kvanZebs emTxveva,
xolo C wvero _ ara (ix. naxazi).
(a) (b) (g) (d)
57.
a udidesi naturaluri ricxvia, romelzec unaSTod iyofa ricxvebi 42 da 48; b udidesi naturaluri ricxvia, romelzec unaSTod iyofa ricxvebi 36 da 42.
(a) (b) (g) (d)
58.
wriul diagramaze warmodgenilia, sanergeSi
nergebis saerTo raodenobis ramden procents
Seadgens muxis, rcxilisa da wiflis nergebi.
svetovan diagramaze ki warmodgenilia mxolod
muxisa da rcxilis nergebis raodenobebi.
(a) (b) (g) (d)
amocanebi
59. 4 milion 700 aTasze 3 milion 600 aTasiT metia: (a) 7 milion 100 aTasi (b) 7 milion 300 aTasi (g) 7 milion 700 aTasi (d) 8 milion 300 aTasi (e) 8 milion 600 aTasi
ABCD oTxkuTxedis farTobi 10 kv. sm
ba
wiflis nergebis raodenoba 550
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60. ricxvTa RerZze A wertilis koor-dinatia 10 000, D-si ki _ 20 000. B wertili AD monakveTis Suawertilia, C wertili ki B da D wertilebs Sorisaa, magram B-sTan ufro axlosaa, vidre D-sTan. qvemoT CamoTvlilTagan romeli ricxvi SeiZleba iyos C-s koordinati?
(a) 14 000 (b) 15 000 (g) 17 000 (d) 17 500 (e) 18 000
61. c ricxvi a ricxvze b-jer naklebia. a · c = (a) ab (b) b
a
(g) a2b (d) b
a2
(e) a2b2 62. dazianebuli kalkulatoris Rilakebidan mxolod `7~-ianis, `9~-ianis da
`Sekrebis~ Sesabamisi Rilakebi muSaobs.
qvemoT CamoTvlilTagan romeli ricxvis miRebaa SeuZlebeli am kalkulatoris
ekranze? (a) 23 (b) 30 (g) 38 (d) 41 (e) 45
monacemTa analizi
arasamTavrobo organizaciam Seamowma ramdenime adgilobrivi da ucxouri
firmis mier warmoebuli araJani imis gasarkvevad, Tu ramdenad Seesabameba is
normiT gaTvaliswinebul moTxovnebs.
cxrilSi mocemulia, rogori unda iyos normiT TiToeuli firmis mier
warmoebuli araJnis cximianoba da energetikuli Rirebuleba, ra maCveneblebia
miTiTebuli etiketze da risi tolia isini faqtobrivad. aseve, mocemulia
araJnis faqtobrivi wona da wona etiketis mixedviT.
cximianoba % energetik. Rireb. (kkal/100gr) produqciis wona (gr) firmis
dasaxeleba normiT (aranakleb)
etiketze faqtobr. normiT etiketze faqtobr. etiketze faqtobr.
nobaTi 15 12 11 160-230 190 186 400 390 cemi 15 10 8 160-230 165 158 200 194
adgi-
lob-
rivi lego 15 12 13 160-230 204 204 500 472 solio 15 15 15 160-230 172 157 500 504 miurei 15 13 14 160-230 225 228 400 386
ucxo-
uri vabi 15 16 15 160-230 218 212 200 200
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25
cxrilis mixedviT upasuxeT Semdeg oTx SekiTxvas:
63. ramdeniT naklebia firma `nobaTis~ mier warmoebuli araJnis cximianobis
faqtobrivi maCvenebeli normiT gaTvaliswinebul minimalur maCvenebelze? (a) 1-iT (b) 2-iT (g) 4-iT (d) 6-iT (e) 7-iT
64. ramdenia iseTi firma, romelTa mier warmoebuli araJnis energetikuli
Rirebulebis faqtobrivi maCvenebeli normis farglebSia, magram naklebia
etiketze miTiTebul maCvenebelze? (a) 1 (b) 2 (g) 3 (d) 4 (e) 5
65. dasaSvebia, rom araJnis faqtobrivi wona maqsimum 3%-iT gansxvavdebodes
etiketze miTiTebuli wonisgan. romelia is firmebi, romelTa mier warmoebuli
araJani ar akmayofilebs am moTxovnas? (a) `cemi~ da `vabi~
(b) `nobaTi~ da `miurei~
(g) `nobaTi~ da `solio~
(d) `cemi~ da `solio~
(e) `lego~ da `miurei~
66. qvemoT CamoTvlilTagan romeli winadadebaa marTebuli? (a) adgilobrivi firmebis mier warmoebuli araJnis cximianobis faqtobrivi
maCvenebeli yovelTvis Seesabameboda normas, ucxourebisa ki _ ara
(b) ucxouri firmebis mier warmoebuli araJnis cximianobis faqtobrivi
maCvenebeli yovelTvis Seesabameboda normas, adgilobrivebisa ki _ ara
(g) adgilobrivi firmebis mier warmoebuli araJnis cximianobis faqtobrivi
maCvenebeli yovelTvis naklebi iyo etiketze miTiTebul maCvenebelze,
ucxourebisa ki _ ara
(d) zogierTi adgilobrivi firmis mier warmoebuli araJnis energetikuli
Rirebulebis faqtobrivi maCvenebeli normis farglebSi iyo, magram is arc
erT SemTxvevaSi ar emTxveoda etiketze miTiTebul maCvenebels
(e) zogierTi ucxouri firmis mier warmoebuli araJnis energetikuli
Rirebulebis faqtobrivi maCvenebeli normis farglebSi iyo, magram is arc
erT SemTxvevaSi ar emTxveoda etiketze miTiTebul maCvenebels
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26
amocanebi
67. giorgis unda Seesrulebina moqmedeba 836,73 – 156,95. man 7-ianis nacvlad SecdomiT gadawera 4-iani da ise Seasrula gamokleba. giorgis mier daSvebuli Secdomis gamosasworeblad miRebul Sedegs unda:
(a) gamoakldes 3 (b) daematos 3 (g) gamoakldes 0,3 (d) daematos 0,3 (e) daematos 11
68. saerTo wveros mqone ori marTkuTxedis gverdebiT Sedgenili kuTxeebidan erT-erTis sididea 124° (ix. naxazi). ramdeni gradusia α kuTxis sidide?
(a) 28° (b) 34° (g) 45° (d) 56° (e) 62°
69. mimdevroba 20 wevrisagan Sedgeba. misi pirveli wevria 3, xolo yoveli
momdevno wevri wina wevrze 2-jer metia. am mimdevrobis sul ramdeni wevria 300-ze naklebi?
(a) 5 (b) 6 (g) 7 (d) 8 (e) 9
70. ramdeni lari Rirs wigni, Tu misi Rirebulebis 40% Seadgens 14 lars? (a) 54 (b) 35 (g) 26 (d) 21 (e) 18
71. daTos 5 boTli Rvinis SesaZenad 11 lari akldeboda. sami iseTive boTli Rvinis SeZenis SemTxvevaSi ki mas 21 lari darCeboda. ramdeni lari hqonia
daTos? (a) 55 (b) 63 (g) 65 (d) 67 (e) 69
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27
72. erTi wrewiris radiusis sigrZe 30 sm-ia, meorisa _ 12 sm. am or wrewirs mxolod erTi saerTo wertili aqvs (ix. naxazi). risi tolia udidesi monakveTis sigrZe, romlis
erTi bolo erT wrewirzea, meore bolo ki _ meoreze?
(a) 18 sm (b) 24 sm (g) 42 sm (d) 84 sm (e) 360 sm
73. lias, gias da vaJas sul 72 fanqari aqvT. Tu lia da gia vaJas aCuqeben Svid-Svid fanqars, maSin samives erTi da imave raodenobis fanqrebi eqneba.
ramdeni fanqari aqvs vaJas? (a) 10 (b) 13 (g) 14 (d) 17 (e) 24
74. marTkuTxedi, romlis sigrZea 160 sm, xolo sigane _ 20 sm, dayofilia 32 tol kvadratad. ramdeni santimetria dayofis Sedegad miRebuli TiToeuli kvadratis
gverdis sigrZe? (a) 3 (b) 4 (g) 5 (d) 8 (e) 10
75. wyali auzSi erTi miliT Caedineba, meoriT ki, piriqiT, gareT gaedineba. Tu mxolod pirveli milia gaxsnili, maSin carieli auzis avsebas 8 sT sWirdeba. Tu mxolod meore milia gaxsnili, maSin savse auzis daclas 5 sT sWirdeba. im
SemTxvevaSi, Tu orive milia gaxsnili, maSin savse auzis dasaclelad x saaTia saWiro. qvemoT CamoTvlilTagan romeli tolobaa marTebuli?
(a) 58−=x
(b) 851 xx −=
(g) xx 581 −=
(d) xx 51
81
=
(e) 51
811 −=x
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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.
6 kg Zexvi 32,40 lari Rirs.
(a) (b) (g) (d)
77.
erTmaneTis toli rva patara wre
didi wris SigniT mdebareobs (ix.
naxazi). am rva wridan TiToeulis
radiusis sigrZe 4-jer naklebia didi wris radiusis sigrZeze.
(a) (b) (g) (d)
78.
(a) (b) (g) (d)
79.
wris diametris sigrZe marTkuTxedis udidesi
gverdis sigrZis tolia.
(a) (b) (g) (d)
5,5 lari 1 kg Zexvis Rirebuleba
didi wris gamuqebuli
nawilis farTobi
patara wreebis
farTobTa jami
22 1717·43·243 ++ 258
wris farTobi marTkuTxedis farTobi
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29
80.
Teatridan muzeumamde manZilis mesamedi Teatridan
stadionamde manZilis meeqvsedze naklebia.
(a) (b) (g) (d)
81.
skolaSi moswavle gogonaTa raodenobis 30% da
biWebis raodenobis 20% friadosania.
(a) (b) (g) (d)
82.
wrewirze moniSnulia 1 wiTeli da 5 lurji wertili.
(a) (b) (g) (d)
amocanebi
83. albomSi sul 36 fotosuraTia. fotosuraTebis 32 nawili feradia. feradi
fotosuraTebis 43 nawili xevsureTSia gadaRebuli. xevsureTSi gadaRebuli
ramdeni feradi fotosuraTia am albomSi? (a) 12 (b) 14 (g) 16 (d) 18 (e) 20
84. marTkuTxa formis miwis nakveTis gegma iseTi marTkuTxedia, romlis sigrZe da sigane am nakveTis sigrZis da siganis proporciulia. gegmis sigrZea 24 sm, sigane _ 16 sm. qvemoT CamoTvlilTagan romeli SeiZleba iyos am nakveTis sigrZe da sigane?
(a) 14 m da 6 m (b) 18 m da 12 m (g) 28 m da 20 m (d) 40 m da 30 m (e) 50 m da 32 m
manZili Teatridan
muzeumamde
manZili Teatridan
stadionamde
friadosan moswavleTa
procentuli wili am skolaSi 27 %
im xuTkuTxedis
diagonalebis raode-
noba, romlis yvela
wvero lurjia.
im samkuTxedebis
raodenoba, romelTa
erTi wvero wiTelia,
danarCeni _ lurji
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85. tolferda marTkuTxa samkuTxedi dayofilia tol kvadratebad da tol samkuTxedebad. zogierTi maTgani
gamuqebulia (ix. naxazi).
=farTobi nawilis is samkuTxedam
farTobi nawilis is samkuTxedam
igaumuqebel
gamuqebuli
(a) 94
(b) 32
(g) 43
(d) 1 (e) 4
5
86. Caifiqres ori ricxvi, pirveli _ marcxena svetidan, meore _ marjvena svetidan. maqsimum
risi toli SeiZleba iyos pirveli ricxvis
meoreze ganayofi? (a) 24 (b) 16 (g) 12 (d) 6 (e) 4
monacemTa analizi
diagramaze mocemulia, erT-erTi firmis TanamSromel qalTa ramdenma
procentma da mamakacTa ramdenma procentma gaiara kvalifikaciis asamaRlebeli
kursebi 1986-1991 wlebSi.
–32 12 24 –2 8 4 48 –8
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31
diagramis mixedviT upasuxeT Semdeg oTx SekiTxvas:
87. romel wels gaiara kvalifikaciis asamaRlebeli kursebi TanamSromel qalTa 9%-ma?
(a) 1986 (b) 1987 (g) 1988 (d) 1989 (e) 1990
88. firmis TanamSromel mamakacTa ramden procents ar gauvlia kvalifikaciis asamaRlebeli kursebi 1988 wels?
(a) 88 (b) 89 (g) 91 (d) 92 (e) 93
89. cnobilia, rom 1987 wels TanamSromel mamakacTa raodenoba 2,5-jer meti iyo qalTa raodenobaze. qalebTan SedarebiT ramdenjer metma mamakacma gaiara am wels
kvalifikaciis asamaRlebeli kursebi? (a) 3-jer (b) 3,5-jer (g) 4-jer (d) 4,5-jer (e) 5-jer
90. qvemoT CamoTvlilTagan romelia marTebuli, diagramis mixedviT?
(a) 1987 wlidan moyolebuli, yovel wels procentuli wili im mamakaci TanamSromlebisa, romlebic imaRlebdnen kvalifikacias, aRemateboda wina
wlis Sesabamis maCvenebels
(b) 1987 wlidan moyolebuli, yovel wels im qal TanamSromelTa procentuli wili, romlebic imaRlebdnen kvalifikacias, aRemateboda wina wlis
Sesabamis maCvenebels
(g) yovel wels kvalifikaciis asamaRlebel kursebs gadioda TanamSromel
qalTa meaTedze meti
(d) yovel wels kvalifikaciis asamaRlebel kursebs gadioda TanamSromel
mamakacTa meaTedze meti
(e) yovel wels qal TanamSromelTa ufro meti procenti imaRlebda
kvalifikacias, vidre _ mamakaci TanamSromlebisa
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amocanebi
91. simRerisa da cekvis ansamblSi momRerlebis raodenoba ansamblis wevrTa saerTo raodenobis 5
3 nawils Seadgenda. wlis bolos am ansamblSi mocekvaveTa
raodenoba ganaxevrda, momRerlebis raodenoba ki ar Secvlila. ansamblis wevrTa
saerTo raodenobis ramdeni procenti iqneba momRerlebis raodenoba wlis
bolos? (a) 20%
(b) 25%
(g) 50%
(d) 60%
(e) 75%
92. ABC marTkuTxa samkuTxedis kaTetebis sigrZeebia 3 sm da 5 sm, NMC-si _ 4 sm da 2 sm. am ori samkuT-xedis midgmiT miRebuli ABMN oTxkuTxedi AM mona-
kveTiT gayofilia or nawilad, romelTagan erTi _
gamuqebulia (ix. naxazi). ramdeni kvadratuli
santimetria gaumuqebeli nawilis farTobi? (a) 1,5 sm2
(b) 2 sm2
(g) 2,5 sm2
(d) 3 sm2
(e) 3,5 sm2
93. a da b nulisgan gansxvavebuli nebismieri ricxvebia. vTqvaT, * -iT aRniSnulia
iseTi operacia, rom abbaba 2* −= . risi tolia ( )2*3*4 ?
(a) 24 (b) 12
53
(g) 2 61
(d) 31−
(e) 216−
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33
94. erT-erTi tomis xalxi mxolod 5 bgeras iyenebs _ 1 xmovansa da 4 Tanxmo-vans. maTi yoveli sityva mxolod or, erTmaneTisgan gansxvavebul bgeras Seicavs
da am bgerebidan erTi mainc aucileblad xmovania. maqsimum ramden gansxvavebul
sityvas SeiZleba iyenebdes am tomis xalxi? (a) 6 (b) 7 (g) 8 (d) 9 (e) 10
95. erTi kubis moculoba 8-jer naklebia meore kubis moculobaze. ramdenjer naklebia pirveli kubis waxnagis farTobi meore kubis waxnagis farTobze?
(a) 24-jer (b) 16-jer (g) 8-jer (d) 4-jer (e) 2-jer
96. m naturaluri ricxvia. m-is 8-ze gayofisas miRebuli naSTia 5. risi toli iqneba 4m -is 8-ze gayofisas miRebuli naSTi?
(a) 2 (b) 3 (g) 4 (d) 5 (e) 6
97. kubis formis yuTi 140 sm sigrZis TokiTaa Sekruli (ix. naxazi).
CamoTvlilTagan risi toli SeiZleba iyos am yuTis
simaRle, Tu Tokis im nawilis sigrZe, romelic
kvanZisTvisaa saWiro, ar aRemateba 20 sm-s? (a) 8 sm (b) 12 sm (g) 14 sm (d) 16 sm (e) 18 sm
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34
98. 2m udris n-is 60%-s. =mn
(a) 310
(b) 623
(g) 103
(d) 58
(e) 38
99. dekoratori awyobs mozaikas 6 m sigrZis mqone kvadratuli formis kedelze. igi yoveldRe, erTi da imave tempiT, erTi da imave drois ganmavlobaSi muSaobs.
4 dRis muSaobis Semdeg dekorators mozaika awyobili hqonda kedlis nawilze, romelsac aseve kvadratuli forma hqonda da romlis sigrZec 4 m iyo. kidev ramdeni dRe dasWirdeba dekorators am kedelze mozaikis asawyobad?
(a) 1 (b) 3 (g) 5 (d) 7 (e) 9
100. dadebiT ricxvTa sasruli mimdevrobis simkvrivis maCvenebeli vuwodoT am mimdevrobis wevrTa Soris udidesisa da umciresis namravlis mniSvnelobas.
magaliTad, 8, 3, 0,5, 4, 9, 2 mimdevrobis simkvrivis maCvenebelia 9 · 0,5 = 4,5. mocemulia dadebiT ricxvTa sasruli mimdevroba, romlis luwnomrian wevr-
Tagan Sedgenili mimdevrobis simkvrivis maCvenebeli 40-is tolia, xolo kent-
nomrian wevrTagan Sedgenili mimdevrobisa 63-is tolia. qvemoT CamoTvlilTagan romlis toli SeiZleba iyos mocemuli mimdevrobis simkvrivis maCvenebeli?
(a) 32 (b) 45 (g) 64 (d) 65 (e) 72
