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zogadi unarebis testizogadi unarebis testi
20102010instruqcia
testi Sedgeba ori _ verbaluri da maTematikuri _ nawilisgan.TiToeuli nawili 40 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 axlavs tests (Sesabamisi instruqcia ixileT pasuxebis furcelze). testis furclebze moniSnuli pasuxebi ar Semowmdeba. zogadi unarebis testirebis Sedegi dadgindeba mxolod da mxolod pasuxebis furclis safuZvelze.
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, Tqveni naSromi ar Semowmdeba.
Tu ar gaqvT romelime davalebis pasuxi, dros nu dakargavT da gadadiT Semdeg davalebaze.
Canawerebis an naxazebisTvis gamoiyeneT mxolod da mxolod testis furclebze arsebuli carieli adgilebi.
gisurvebT warmatebas !
I
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verbaluri nawili analogiebi
am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva (sawyisi
wyvili), romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. daadgineT, ra
saxisaa es mimarTeba.
savaraudo pasuxTa yovel variantSi mocemulia, aseve, mniSvnelobiT
urTierTdakavSirebuli sityvebis wyvili. airCieT maTgan is wyvili, romelSic
sityvaTa mniSvnelobebs Soris mimarTeba sawyis wyvilSi arsebuli mimarTebis
msgavsia (analogiuria). pasuxis arCevisas gaiTvaliswineT wyvilebSi sityvaTa
Tanmimdevroba.
1. Txzavs : moTxroba (a) baZavs : nimuSi
(b) ikvlevs : kvali
(g) agrovebs : koleqcia
(d) amravlebs : mamravli
2. waaxalisa : waaqeza (a) miimxro : gadaibira
(b) moiTmina : gajiutda
(g) endo : daimsaxura
(d) SeigrZno : mixvda
3. siurprizi : moulodneli (a) sarkazmi : ironiuli
(b) komplimenti : Sesaferisi
(g) fsevdonimi : sakuTari
(d) paradoqsi : uCveulo
4. oranJerea : oazisi (a) herbariumi : baRi
(b) zooparki : nakrZali
(g) limonariumi : sanerge
(d) akvariumi : akvaparki
5. wertili : polusebi (a) adamiani : antipodebi
(b) disertanti : oponentebi
(g) ucxoeli : emigrantebi
(d) lideri : pretendentebi
6. winapiroba : sawindari (a) mizani : strategia
(b) Sefaseba : kriteriumi
(g) Sedegi : produqti
(d) daskvna : analizi
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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.
7. radgan _____ da radgan yovelTvis _____ sruli codna warsulis Sesaxeb, _____ viyoT darwmunebulni, rom swori gadawyvetileba miviReT.
(a) momavali SegviZlia sakmaod zustad viwinaswarmetyveloT / gvaqvs / Znelia (b) momavalTan dakavSirebiT mxolod varaudi SegviZlia gamovTqvaT / ar gvaqvs /
Znelia
(g) momavalTan dakavSirebiT mxolod varaudi SegviZlia gamovTqvaT / gvaqvs /
SeuZlebelia
(d) momavali SegviZlia sakmaod zustad viwinaswarmetyveloT / ar gvaqvs /
SeuZlebelia
8. _____ adamianebi _____ socialur normebs, isini, ZiriTadad, _____ arian, _____ cdiloben daicvan samarTlebrivad dadgenili normebi.
(a) marTalia, / iSviaTad arRveven / kanonmorCilni / Tumca, yovelTvis
(b) radgan / xSirad arRveven / kanonmorCilni ar / Tumca, yovelTvis
(g) miuxedavad imisa, rom / xSirad arRveven / kanonmorCilni / da, Sesabamisad,
(d) imis gamo, rom / iSviaTad arRveven / kanonmorCilni ar / da, Sesabamisad,
9. Sua saukuneebis teqstebSi warmodgenilia ideali, romelTan miaxloebac
_____ , magram ganxorcieleba _ _____ . albaT, amaSia don-kixotis yvela
warumateblobis saidumlo _ imas, _____ , igi _____ miiCnevs.
(a) SeuZlebelia / SesaZlebeli / rac adamianisTvis Cveuli qcevis nimuSia /
idealad
(b) SesaZlebelia / SeuZlebeli / rac yoveldRiuri qcevis normaa / adamianisTvis
Cveuli qcevis nimuSad
(g) SeuZlebelia / SesaZlebeli / riskenac adamiani SeiZleba mxolod iswrafodes /
idealad
(d) SesaZlebelia / SeuZlebeli / riskenac adamiani SeiZleba mxolod iswrafodes /
yoveldRiuri qcevis normad
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logika
am saxis davalebebi gansxvavdeba erTmaneTisgan 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.
10. frangi, italieli da espaneli alpinistebis jgufi sam karavSi ise ganawilda, rom TiToeul karavSi ori alpinisti aRmoCnda.
• pirvel karavSi erTi da imave erovnebis alpinistebi arian, xolo danarCen
orSi _ sxvadasxva erovnebisa
• meore karavSi arc erTi alpinisti ar aris frangi
qvemoT CamoTvlilTagan alpinistTa karvebSi ganawilebis romeli varianti
akmayofilebs am pirobebs?
I karavi II karavi III karavi
(a) espaneli, espaneli frangi, italieli italieli, espaneli
(b) espaneli, frangi italieli, espaneli frangi, italieli
(g) italieli, italieli espaneli, frangi frangi, frangi
(d) frangi, frangi espaneli, italieli espaneli, italieli
11. mocemulia: • odesme aucileblad dadasturdeba marsze sicocxlis arseboba
Semdegi winadadebebidan romelia mocemulis tolfasi?
(a) SeuZlebelia, odesme marsze sicocxlis arseboba dadasturdes
(b) SesaZlebelia, odesme marsze sicocxlis arseboba dadasturdes
(g) SeuZlebelia, marsze sicocxlis arseboba arasodes dadasturdes
(d) SesaZlebelia, marsze sicocxlis arseboba arasodes dadasturdes
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12. mocemulia: • me ar myavs iseTi megobari, romelic ar aris saqmiani adamiani
• me bevri megobari myavs da yvela Cemi megobari modurad icvams
qvemoT CamoTvlilTagan romeli gamomdinareobs am ori debulebidan?
(a) yvela saqmiani adamiani icvams modurad
(b) zogierTi adamiani saqmiania da moduradac icvams
(g) yvela, vinc modurad icvams, aris saqmiani adamiani
(d) ar arsebobs adamiani, romelic saqmiania da, amave dros, modurad ar icvams
13. veSapebis masobrivi gamoriyvis mizezebis Sesaxeb mecnierTa Soris azrTa
sxvadasxvaobaa. biologTa erTi jgufi am fenomens ase xsnis: veSapebi TavianTi
eqolokaciis unaris meSveobiT, Cveulebriv, Tavs arideben sanapiroebs. magram es
unari ar aris imdenad ganviTarebuli, rom veSapebma igrZnon wyalsa da xmeleTs
Soris gansxvaveba iseT adgilebSi, sadac wylis siRrme napirisken TandaTan,
SeumCnevlad mcirdeba.
qvemoT CamoTvlilTagan romeli viTareba ganamtkicebs biologTa am mosazrebas?
(a) veSapebis gamoriyva SeiZleba iyos Sedegi maTi mcdelobisa, Tavi daaRwion ama
Tu im mtaceblis Tavdasxmas
(b) arsebobs imis sabuTebi, rom samxedro sazRvao wvrTnebis dros gamoyenebuli
intensiuri bgeriTi signalebi azianebs veSapebis eqolokaciis organoebs
(g) veSapebi specialuri bgeriTi signalebiT uxmoben Tanagundelebs saSvelad;
erTi gariyuli veSapis aseT signalze sapasuxod SeiZleba mTeli gundi misken
gaeSuros da zogierTma maTganma Tavadac veRar SeZlos wyalSi dabruneba
(d) veSapebis gamoriyvis SemTxvevebis statistikam aCvena, rom sanapiro zolze
arsebobs e. w. `cxeli wertilebi~, sadac gansakuTrebiT xSirad xdeba
masobrivi gamoriyva. am adgilebSi okeanis fskeris daxra mxolod naxevari
gradusia
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wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
msoflios uZvelesi civilizaciebis SemoqmedTa umravlesoba didi xnis win
gadaSenda. maias xalxi* ki dResac arsebobs, misi STamomavlebi garegnulad arc
gamocvlilan. maias tomebma enac SeinarCunes, Tumca, maTi warsulis Seswavla
bevrad ufro rTulia, vidre didi xnis win dangreuli sxva romelime
civilizaciisa. axali welTaRricxvis dasawyisSi maiam Seqmna Zlieri imperia,
romelic qalaqebis mSeneblobasa da ganviTarebaze iyo orientirebuli. VIII Tu
IX saukuneSi ki maias tomebma uceb miatoves TavianTi qalaqebi, uceb Sewyda
didmasStabiani mSeneblobebi. am civilizaciis dacemis savaraudo mizezebs or
kategoriad yofen: araekologiurad (mosaxleobis siWarbe, mtris Tavdasxma,
mniSvnelovani savaWro gzebis ganadgureba) da ekologiurad (ekologiuri
katastrofa, epidemiebi, klimatis mkveTri cvlileba).
centraluri amerikis mkvlevrebs sami siZnele eRobebodaT win: am kulturis
TaviseburebiT gamowveuli sruliad axali problemebi; mravalferovani masalis
uqonloba; adgilobriv landSaftsa da havasTan dakavSirebuli siZneleebi. maias
enaze SemorCenili ramdenime sabuTisa Tu warweris wakiTxva SesaZlebeli gaxda
mxolod diego de landas wignis daxmarebiT. diego de landam maias tomis erT-erTi
ukanaskneli mefisgan Caiwera cnobebi maias xalxis cxovrebis wesze, mis RmerTebze,
mezobel tomebTan urTierTobebze. wigns darTuli aqvs suraTebi, romlebic
gviCvenebs, Tu ra niSnebiT aRniSnavda maia Tveebsa da dReebs. maias mier qvis
iaraRiT amokveTili yoveli reliefi, ornamenti Tu cxovelis gamosaxuleba
dakavSirebuli iyo raime TariRTan. yoveli ucnauri saxe aRniSnavda romelime
ricxvs, an mTel kalendarul sqemasac ki. magaliTad, ornamenti, romelic
TxuTmetjer meordeboda ieroglifTa kibeze qalaq kopanSi, aRniSnavda gasuli
drois ciklebs. SeiZleba iTqvas, rom maias yoveli nageboba gaqvavebuli kalendaria.
Tanamedrove kalendari zedmiwevniT zusti ar aris _ igi mxolod ramdenadme
ukeTesia winamorbedebze. Zv. w. 238 wels ptolemeos III-m odnav gaaumjobesa
Zvelegvipturi kalendari. iulius keisris saxelTanaa dakavSirebuli e. w. iuliusis
kalendari, romelic gamoiyeneboda 1582 wlamde, rodesac igi axali, e. w.
grigorianuli kalendriT Secvala papma grigol XIII-m. Tu wlis xangrZlivobis
Sesaxeb sxvadasxva kalendrisa da astronomiuli gamoTvlebiT miRebul Tanamedrove
monacemebs erTmaneTs SevadarebT, aseT suraTs miviRebT:
wlis xangrZlivoba _ iuliusis kalendriT 365,250000 dRe
grigorianuli kalendriT 365,242000 dRe
maias kalendriT 365,242129 dRe
astronomiuli gamoTvlebiT 365,242198 dRe
ucnauria, magram xalxi, romelic uzustes astronomiul dakvirvebebsa da
maTematikur gamoTvlebs awarmoebda, yvelafers mistikur mniSvnelobas aniWebda. maias
warmodgenebSi konkretuli TariRebi, ciklebi `zebunebriv~ Zalebs ukavSirdeboda.
maias tomebi Tavis didebul Senobebs maSin ki ar agebdnen, roca es maT
sWirdebodaT, aramed maSin, roca kalendari `ubrZanebda~. isini aSenebdnen yovel
xuT, aT, oc weliwadSi erTxel da usaTuod miuTiTebdnen aSenebis TariRs. Tu
axali kalendaruli cikli moiTxovda, ukve aSenebul piramidas meores daaSenebdnen.
msoflioSi yvelaze zusti kalendris Semqmneli xalxi imave dros misi mona gaxda.
*maias xalxi _ centraluri amerikis mkvidrni, ax. w. dasawyisSi Seqmnes didi civilizacia.
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14. qvemoT dawyvilebulia pirveli abzacis winadadebebi. CamoTvlilTagan romeli ori winadadebis dasakavSireblad ar iqneboda swori kavSiris _ `Tumca~ _
gamoyeneba?
(a) msoflios uZvelesi civilizaciebis SemoqmedTa umravlesoba didi xnis win
gadaSenda _ maias xalxi dResac arsebobs
(b) maias tomebma enac SeinarCunes _ maTi warsulis Seswavla bevrad ufro
rTulia, vidre didi xnis win dangreuli sxva romelime civilizaciisa
(g) axali welTaRricxvis dasawyisSi maiam Seqmna Zlieri imperia, romelic
qalaqebis ganviTarebaze iyo orientirebuli _ maias tomebma uceb miatoves
TavianTi qalaqebi, uceb Sewyda didmasStabiani mSeneblobebi
(d) maias tomebma uceb miatoves TavianTi qalaqebi, uceb Sewyda didmasStabiani
mSeneblobebi _ am civilizaciis dacemis savaraudo mizezebs or kategoriad
yofen
15. ra sirTules ukavSirdeba maias civilizaciis kvleva?
(a) es civilizacia uZvelesia da man didi xnis win Sewyvita arseboba; Sesabamisad,
maias civilizaciidan mxolod ramdenime werilobiTi sabuTi SemogvrCa
(b) centraluri amerikis civilizaciebs savaWro gzebi akavSirebda erTmaneTTan,
am sasicocxlo gzebis ganadgurebam ki SeuZlebeli gaxada komunikaciebi
(g) maias civilizaciis dacema ekologiurma katastrofam ganapiroba, Sesabamisad,
ganadgurda nivTieri kulturis uamravi nimuSi
(d) maias kulturis specifikuroba sruliad axal problemebs badebs, mwiri
masala ki Sedarebebisa da ganzogadebis saSualebas ar iZleva
16. ras gulisxmobs gamoTqma: `maias yoveli nageboba gaqvavebuli kalendaria~?
(a) maias xalxis mier qvis iaraRiT amokveTil reliefebze asaxulia Zveli
qalaqebis cxovrebisa da omis epizodebi
(b) taZrebze, piramidebze amokveTili yoveli ornamenti Tu ucnauri saxe
aRniSnavda romelime TariRs, SesaZloa, mTel kalendarul sqemasac
(g) cnobebi, romlebic diego de landam maias tomis erT-erTi ukanaskneli
mefisgan Caiwera, ZiriTadad, qvis nagebobebsa da kalendars ukavSirdeboda
(d) qvis ornamenti, romelic TxuTmetjer meordeboda ieroglifTa kibeze qalaq
kopanSi, warmoadgens maias xalxis mier Seqmnili kalendris fragments
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17. ra mizniT aris moyvanili teqstSi sxvadasxva epoqis kalendris monacemebi?
isini naTels xdis, rom:
(a) maias kalendris monacemebi naklebad zustia astronomiuli gamoTvlebiT
miRebul Tanamedrove monacemebTan SedarebiT
(b) droTa ganmavlobaSi sxvadasxva kalendris monacemebi sul ufro metad
uaxlovdeboda astronomiuli gamoTvlebiT miRebul Tanamedrove monacemebs
(g) sxva kalendrebis monacemebTan SedarebiT, maias kalendris monacemebi yvelaze
axlos aris Tanamedrove samecniero kvlevebiT miRebul SedegebTan
(d) maias kalendaruli sqema Zvelegvipturi, iuliusis, ptolemeosisa da
grigorianuli kalendaruli sqemebis msgavsia
18. teqstis Tanaxmad, maias xalxis swrafva mistikurobisken ucnauria, radgan:
(a) maias xalxi uzustes astronomiul dakvirvebebsa da maTematikur gamoTvlebs
awarmoebda, rac am xalxis azrovnebis racionalurobaze unda metyvelebdes
(b) diego de landa maias xalxs sxvagvarad axasiaTebs: isini winaswar
SemuSavebuli gegmis Sesabamisad aSenebdnen uzarmazar qalaqebs, taZrebs,
piramidebs
(g) maias miTebSi asaxuli warmodgenebi RmerTze, samyaroze, civilizaciaze
gansazRvrulia zebunebrivi Zalebis rwmeniT
(d) ekologiur katastrofebs, klimatis mkveTr cvlilebebs maias xalxi bunebis
kanonebiT xsnida da yovel konkretul movlenas ieroglifTa kibeze
aRnusxavda
19. `yvelaze zusti kalendris Semqmneli xalxi imave dros misi mona gaxda~. qvemoT CamoTvlilTagan romeli gamoxatavs am winadadebis azrs?
(a) maias civilizaciaSi xSirad gvxvdeba piramida, romelzec meore piramidaa
daSenebuli da masze miTiTebulia axali TariRi
(b) ornamentebiT, sxvadasxva gamosaxulebiT maias xalxi aRniSnavda gasuli drois
ciklebs
(g) nebismier did mSeneblobas maias xalxi gegmavda dReebis, Tveebis, wlebis
aRnusxvis garkveuli sistemis `karnaxiT~
(d) maias xalxi aSenebda did qalaqebs, taZrebs, sasaxleebs da yvela nagebobas
zustad aTariRebda
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20. ucnobi avtoris mier XX saukuneSi gadaRebul erT fotosuraTze
aRbeWdilia indieli Wabuki profilSi. indieli dgas aTas xuTasi wlis win
agebuli taZris fonze. taZris kedelze amokveTilia reliefi, romelzec
gamosaxulia maias tomis mamakacis profili, aseve, varskvlavebi, ieroglifebi,
ornamentebi.
teqstis romeli abzacis sailustraciod SeiZleba gamoviyenoT es
fotosuraTi?
(a) I abzacis, radgan aq saubaria centraluri amerikis erT-erTi civilizaciis
SemoqmedTa da Tanamedrove indielTa anTropologiur (garegnul) msgavsebaze
(b) II abzacis, radgan aq saubaria kopanis ieroglifTa kibeze drois ciklebis
aRniSvnis principis Sesaxeb, reliefze ki ieroglifebiT weria maias
ukanaskneli mefis saxeli
(g) III abzacis, radgan aq saubaria sxvadasxva epoqis kalendarze, reliefze
gamosaxuli ornamentebi ki, SesaZloa, grigorianuli kalendris fragmentebi
iyos
(d) IV abzacis, radgan aq saubaria maias xalxis miRwevebze astronomiaSi,
fotoze gamosaxuli Wabuki ki reliefze gamosaxul varskvlavebs uyurebs
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analogiebi
am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva (sawyisi
wyvili), romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. maT gaswvriv
mocemulia sityva, romelsac savaraudo pasuxebidan unda SeusabamoT erT-erTi
varianti, ise, rom sityvaTa mniSvnelobebs Soris mimarTeba sawyis wyvilSi
arsebuli mimarTebis msgavsi (analogiuri) iyos.
21. monarqia : memkvidreobiToba respublika :
(a) rigiToba
(b) arCeviToba
(g) cvalebadoba
(d) Tanasworoba
22. leqsika : sityva biosfero :
(a) anatomiuri agebuleba
(b) cocxali organizmi
(g) sicocxlis gavrceleba
(d) ekologiuri sistema
23. nebarTva : aTavisuflebs xelSekruleba :
(a) aRkveTs
(b) azustebs
(g) adasturebs
(d) avaldebulebs
24. vefxvi : pantera ia :
(a) buCqi
(b) bolqvi
(g) vardi
(d) yoCivarda
25. individualizmi : pirovneba skepticizmi :
(a) eWvi
(b) kritika
(g) pozicia
(d) ndoba
26. artileristi : kavaleristi freska :
(a) bareliefi
(b) ornamenti
(g) palitra
(d) ferwera
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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.
27. xelovneba _____ sinamdviles, _____ , rac aris sinamdvile. xelovani _____ da cdilobs, esTetikuri xilviT dagvanaxos is, rac _____ .
(a) marTlac asaxavs / radgan yovelTvis imas gamoxatavs / scildeba realur
movlenaTa farglebs / sinamdvileSia
(b) fotografiulad ar asaxavs / Tumca, arasdrosaa mxolod is / zustad aRwers
realur movlenebs / sinamdvileSia
(g) marTlac asaxavs / magram arasdrosaa mxolod is / scildeba aRqmad movlenaTa
farglebs / sinamdvileSi ar aris
(d) fotografiulad ar asaxavs / radgan yovelTvis imas gamoxatavs / zustad
aRwers aRqmad movlenebs / sinamdvileSi ar aris
28. udavod ______ , rom ______ adamians velur mxecTan aaxloebs, ______ , rom ______ RvTaebriobis niSniT aris aRbeWdili.
(a) mcdari azria / martoobis siyvaruli / Sesabamisad, arc is aris marTali / martoobis siyvaruli
(b) marTalia / sazogadoebisgan gandgoma / Sesabamisad, sicruea / martoobis
siyvaruli
(g) marTalia / martoobis siyvaruli / Tumca, isic sicruea / adamianebTan
urTierTobis survili
(d) mcdari azria / sazogadoebisgan gandgoma / miuxedavad amisa, marTalia /
adamianebTan urTierTobis survili
12
29. epoqisTvis, romelSic Cven vcxovrobT, ganmsazRvrelia rusos sentencia:
`bunebam adamiani bednieri da keTili Seqmna, da Tu is sxvagvaria, amaSi _____ ~.
es TvalTaxedva or Secdomas emyareba: erTi, rom adamiani _____ bednieri da
keTili iyo, _____ is _____ .
(a) TviTon mas miuZRvis brali / sazogadoebis warmoSobamde / da rom,
Sesabamisad, / sakuTari nebiT xdeba sazogadoebis wevri
(b) bunebis xeli ar urevia / Tavisi bunebiT / xolo sazogadoebasTan
urTierTobiT / iZens am Tvisebebs (g) sazogadoebaa damnaSave / Tavdapirvel, bunebriv mdgomareobaSi / da, meore,
rom Tavidan / sazogadoebis gareSe arsebobda
(d) veravis davdebT brals / sazogadoebis wiaRSi / xolo sazogadoebisgan
gandgomis Sedegad / ubeduri da boroti xdeba
30. miTis ZiriTadi struqtura sxvadasxva civilizaciis xalxebTan _____ ,
radgan miTi Tavisufali _____ _ igi _____ . amitom miTosis mkvlevarTaTvis
_____ .
(a) xSirad msgavsia, zogjer identuric / gamonagoni ar aris / dawuruli
formiT mocemuli msoflios suraTia / siuJeturi sqemis identuroba
advilad asaxsnelia
(b) yovelTvis sxvadasxvagvaria / gamonagoni ar aris / msoflios
mravalferovnebis ilustrirebas warmoadgens / siuJeturi sqemis identuroba
advilad asaxsnelia
(g) xSirad msgavsia, zogjer identuric / gamonagonia / dawuruli formiT
mocemuli msoflios suraTia / siuJetTa nairgvaroba Znelad asaxsneli araa
(d) yovelTvis sxvadasxvagvaria / gamonagonia / msoflios mravalferovnebis
ilustrirebas warmoadgens / siuJetTa nairgvaroba Znelad asaxsnelia
13
logika
am saxis davalebebi gansxvavdeba erTmaneTisgan 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.
31. magidaze erT rigad awyvia xuTi firfita. iqvea saRebavebi da funjebi.
sandrom TiToeul firfitas unda gaukeTos erTi zoli _ wiTeli an lurji,
Tanac ise, rom Sesruldes Semdegi ori piroba:
• wiTelzoliani firfitebi lurjzolian firfitebze meti iyos
• erTmaneTis miyolebiT mdebare sami firfitidan erTi mainc iyos lurjzoliani
sandros amis gakeTeba bevrnairad SeuZlia. qvemoT CamoTvlilTagan romeli
viTareba ganxorcieldeba yvela SemTxvevaSi?
(a) meore firfitas aqvs wiTeli zoli
(b) pirvel an mexuTe firfitas (an orives) aqvs wiTeli zoli
(g) mesame an meoTxe firfitas (an orives) aqvs wiTeli zoli
(d) meoTxe firfitas aqvs lurji zoli
32. viciT, rom arseboben cnobili moWadrakeebi. amasTan, mocemulia:
• arc erTi cnobili moWadrake ar aris kosmonavti
• yvela cnobili moWadrake fexburTis gulSematkivaria
qvemoT CamoTvlilTagan romeli debuleba gamomdinareobs am wanamZRvrebidan?
(a) fexburTis arc erTi gulSematkivari ar aris kosmonavti
(b) ar arsebobs adamiani, romelic kosmonavticaa da fexburTis gulSematkivaric
(g) fexburTis zogierTi gulSematkivari kosmonavtia
(d) fexburTis zogierTi gulSematkivari ar aris kosmonavti
14
33. A regioni bolo aTi wlis ganmavlobaSi grili klimatiT gamoirCeoda,
magram im wlebSi, romlebSic aq haeris saSualo dRiuri temperatura da
tenianoba normaze ufro maRali iyo, mniSvnelovnad izrdeboda yvela saxis
sasoflo-sameurneo kulturis mosavali. mosalodnelia, rom globaluri
daTbobis procesebis Sedegad ramdenime wlis Semdeg A regionisTvis normad
iqces haeris dRiuri temperaturisa da tenianobis maRali maCveneblebi, romlebic
aRniSnul wlebSi dafiqsirda. am informaciis safuZvelze fermerma ivarauda,
rom momaval aTwleulebSi A regionSi mosavali gaizrdeba.
qvemoT CamoTvlilTagan romeli faqti ayenebs eWvqveS am varauds?
(a) haeris temperaturisa da tenianobis zrdasTan erTad gaizrdeba atmosferoSi
iseTi airebis Semcveloba, romlebic aCqarebs mcenareTa zrdas
(b) A regionSi bolo wlebSi zogadad grili da mSrali klimatis gamo regionis savargulebze mniSvnelovnad Semcirda parazitebis raodenoba
(g) haeris temperaturisa da tenianobis zrdasTan erTad gaizrdeba wliuri
naleqebis raodenobac, rac xelsayrelia mcenareTa mravali saxeobisTvis
(d) bolo wlebSi zogadad grili da mSrali klimatis gamo A regionSi zogierTi kulturis moyvana SeuZlebeli gaxda
34. sofom da Teonam axalgazrda pianistis sakoncerto programa waikiTxes. programis SinaarsiT giorgic dainteresda.
sofo: Tu pianisti Seasrulebs baxis fugas, maSin is ar Seasrulebs
mocartis sonatas. Teona: Tu pianisti Seasrulebs baxis fugas, maSin is Seasrulebs mocartis
sonatasac.
qvemoT CamoTvlilTagan romeli gamomdinareobs gogonebis saubridan, Tu
cnobilia, rom orive gogonam simarTle Tqva?
(a) pianisti ar Seasrulebs baxis fugas
(b) pianisti ar Seasrulebs mocartis sonatas (g) pianisti Seasrulebs baxis fugasac da mocartis sonatasac (d) zemoT mocemuli pasuxebidan arc erTi ar aris swori
15
wakiTxuli teqstis gaazreba
yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo
pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.
saxelmwifos neitralitetis cneba da masTan dakavSirebuli praqtika
istoriis manZilze icvleboda da axal-axal Taviseburebebs iZenda. metic, yvela
neitralurma saxelmwifom am cnebas da mis praqtikul mxares raRac sakuTari,
gansakuTrebuli SesZina. fineTis yofilma prezidentma urho kekonenma erTxel
SeniSna, ramdeni neitraluri saxelmwifoc aris, imdeni saxis neitraliteti
arsebobso. neitralitetis uZvelesi saxea neitraliteti omSi _ gansakuTrebuli
uflebrivi statusi saxelmwifosi, romelic ar erTveba or qveyanas Soris
SeiaraRebul konfliqtSi da maT mimarT miukerZoebel pozicias inarCunebs.
neitralitetis cneba jer kidev Zvel samyaroSi iyo cnobili. geografiuli,
politikuri, ekonomikuri da sxva faqtorebi saSualebas aZlevda calkeul
saxelmwifoebs, samxedro konfliqtebis miRma darCeniliyvnen. Zveli berZnuli da
romauli istoriuli wyaroebi saintereso cnobebs gvawvdis neitralitetis
Sesaxeb, romelic aRiniSneboda, rogorc `ganze dgoma~, `dapirispirebul mxareebTan
megobrobis SenarCuneba~. Tumca, realurad neitraliteti niSnavda qveynis
valdebulebas, ar daxmareboda im mxares, romelic `usamarTlo~ oms awarmoebda.
`agresoris~ dadgenisas didi mniSvneloba eniWeboda imas, iyo Tu ara daculi
yvela saWiro rituali omis gamocxadebisas, da ara imas, Tu vin daiwyo omi.
gansakuTrebiT mkafiod iyo gansazRvruli omis gamocxadebisa da dasrulebis
wesebi Zvel romSi. Tu agresoris dadgena ver xerxdeboda, maSin qveyana valdebuli
iyo, konfliqtis orive mxaris mimarT erTnairi pozicia daekavebina iseT
sakiTxebTan dakavSirebiT, rogorebicaa jarisTvis teritoriis gadakveTis uflebis
micema, jaris sursaTiT momarageba, alyaSemortymulTa daxmarebaze uaris Tqma.
neitralitetis valdebulebebi xelSekrulebebSic aisaxeboda.
feodalizmis epoqaSi neitraluri saxelmwifos valdebuleba, ar mieRo
monawileoba sxva qveynebis omebSi, naklebad mkacri gaxda. garda imisa, rom saomar
moqmedebebSi monawile jarebs neitraluri teritoriis mSvidobianad gadakveTis
ufleba hqondaT, nebadarTuli iyo, agreTve, neitraluri qveynis mkvidrTa gamoyeneba
daqiravebul jariskacebad. dasaSvebi iyo omSi CarTul mxareTa daxmareba jariT,
fuladi saxsrebiT an iaraRiT. es, ZiriTadad, maSin xdeboda, roca neitraluri
qveyana omSi amgvari iribi monawileobis Sedegad garkveul sargebels moeloda.
meore mxriv, neitralitetis saerTaSoriso garantiebi TiTqmis ar arsebobda. xSiri
iyo neitraluri saxelmwifos teritoriaze samxedro moqmedebaTa akrZalvis
ugulebelyofa, Tu am saxelmwifos teritoriaze iyo iseTi obieqtebi (magaliTad,
cixesimagre), romelTa xelSi CagdebiT dapirispirebul mxareTagan erT-erTi
upiratesobas moipovebda. neitralur saxelmwifos sakuTari ZalebiT uxdeboda
`neitralitetis~ SenarCuneba.
Tanamedrove epoqaSi neitralitetis statusi saxelmwifosTvis aris
damoukideblobis garanti, sxva saxelmwifoebisTvis ki _ imis garanti, rom
neitraluri qveyana konfliqtSi ar CaerTveba. Tumca, Tanamedrove konfliqtebis
umravlesoba gansxvavdeba klasikuri omebisgan da axali tipis problemebs wamoWris:
rogor unda moiqces neitraluri saxelmwifo, Tu mas sTxoven, gaxsnas sahaero an
sazRvao sazRvrebi, raTa xeli Seuwyos konfliqtis prevencias, antiteroristul Tu
humanitarul aqciebs? am SekiTxvaze pasuxi neitralurobis Teorias jerjerobiT ar
aqvs.
16
35. ra mizans emsaxureba urho kekonenis mosazrebis citireba?
(a) ganmartavs neitralitetis cnebis arss yoveli calkeuli saxelmwifos konteqstSi
(b) xazs usvams neitralitetis specifikurobas ama Tu im qveyanasTan mimarTebaSi
(g) warmoaCens neitraluri saxelmwifoebis mravalferovnebis ganmapirobebel
faqtorebs
(d) asabuTebs neitraluri qveynebis Taviseburebasa da cvalebad bunebas
36. ratom aris II abzacSi sityva agresori Casmuli brWyalebSi?
(a) am sityvis `usamarTlobis~ sinonimad gamoyenebis aRsaniSnavad
(b) teqstis avtoris ironiuli damokidebulebis gamosaxatavad
(g) teqstis avtorisTvis am sityvis gansakuTrebuli mniSvnelobis xazgasasmelad
(d) realur viTarebasTan am sityvis mniSvnelobis SesaZlo Seusabamobis
aRsaniSnavad
37. III abzacis mixedviT, romel winadadebebs Soris aris mizezSedegobrivi kavSiri?
(a) neitraluri qveyana omSi iribi monawileobis Sedegad garkveul sargebels
moeloda _ dasaSvebi iyo omSi CarTul mxareTa daxmareba
(b) neitralitetis saerTaSoriso garantiebi TiTqmis ar arsebobda _ xSiri iyo
neitraluri saxelmwifos teritoriaze samxedro moqmedebaTa akrZalvis
ugulebelyofa
(g) neitralitetis saerTaSoriso garantiebi TiTqmis ar arsebobda _ neitraluri
saxelmwifos valdebuleba, ar mieRo monawileoba sxva qveynebis omebSi, naklebad
mkacri gaxda
(d) neitraluri qveyana omSi iribi monawileobis Sedegad garkveul sargebels
moeloda _ nebadarTuli iyo neitraluri qveynis mkvidrTa gamoyeneba
daqiravebul jariskacebad
17
38. Zveli samyarosa da feodalizmis periodSi arsebuli neitralitetis principebis urTierTSedarebis safuZvelze SeiZleba davaskvnaT, rom:
(a) neitraluri saxelmwifo orive epoqaSi Tanabar SesaZleblobebs sTavazobda
dapirispirebul mxareebs, Tumca, pirvel SemTxvevaSi es yovelTvis
savaldebulo iyo, xolo meoreSi _ ara
(b) neitraluri saxelmwifosTvis orive epoqaSi dasaSvebi iyo dapirispirebul
mxareTagan erT-erTis daxmareba, Tumca, pirvel SemTxvevaSi amas winaswar
dadgenili wesebi gansazRvravda, xolo meoreSi _ sargeblis miRebis SesaZlebloba
(g) Zvel epoqaSi neitraliteti krZalavda dapirispirebul mxareTa jarebis mier
neitraluri qveynis sazRvrebis gadakveTas, xolo feodalizmis periodSi es
nebadarTuli iyo
(d) Zvel epoqaSi neitralitetis SenarCuneba damokidebuli iyo saxelmwifoTa
Soris gaformebul xelSekrulebebze, xolo feodalizmis epoqaSi _
neitraluri qveynis teritoriaze samxedro moqmedebaTa akrZalvaze
39. bolo abzacSi dasmuli SekiTxva imaze miuTiTebs, rom:
(a) neitraluri qveynis valdebulebebi ar Seesabameba omis warmoebis Tanamedrove
principebs
(b) neitralitetis statusi uzrunvelyofs qveynis usafrTxoebas Tanamedrove
konfliqtebis saxecvlilebis pirobebSi
(g) neitralitetis principebi ver iTvaliswinebs konfliqturi situaciis yvela
SesaZlo variants
(d) qveynis neitraluroba gamoricxavs mis monawileobas konfliqtebis prevenciasa
da humanitaruli aqciebis ganxorcielebaSi
40. ra mimarTebaa teqstis I abzacsa da danarCen sam abzacs Soris?
(a) I abzacSi saubaria erT-erTi politikuri movlenis damaxasiaTebel niSnebze,
romlebic ganxilulia II-III abzacebSi, xolo bolo abzacSi warmodgenilia am
movlenis Sesaxeb arsebuli Teoriis ZiriTadi principebi
(b) I abzacSi ganxilulia konkretuli politikuri fenomeni, xolo Semdgom
abzacebSi mocemulia misi arsebobis damadasturebeli magaliTebi
(g) I abzacSi gamokveTilia erT-erTi politikuri movlenis mniSvnelovani
Tavisebureba, romelic ilustrirebulia danarCen sam abzacSi
(d) I abzacSi daxasiaTebulia erT-erTi politikuri movlenis buneba, II-III
abzacebSi istoriuli faqtebis safuZvelze gaanalizebulia misi gamomwvevi
mizezebi, romlebic SekiTxvis saxiTaa warmodgenili bolo abzacSi
18
Savi samuSaosTvis
19
Savi samuSaosTvis
20
21
maTematikuri nawili
testis maTematikur nawilze muSaobisas gaiTvaliswineT:
• naxazebi, romlebic erTvis zogierT davalebas, araa Sesrulebuli davalebis
pirobaSi miTiTebuli zomebis zusti dacviT. amitom monakveTebis sigrZis an sxva
sidideebis Sesaxeb daskvnis gamotanisas nu daeyrdnobiT naxazis zomebs. yuradReba
gaamaxvileT davalebis pirobaze;
• Tu naxazze mocemuli swori xazis Sesaxeb amocanis pirobaSi damatebiT araferia
naTqvami, maSin unda CaTvaloT, rom es swori xazi wrfea an misi nawili;
• testSi gamoyenebulia ricxvTa Caweris mxolod aTobiTi poziciuri sistema.
maTematikuri aRniSvnebi da formulebi:
1. nuli arc dadebiTia da arc uaryofiTi; 1 ar aris martivi ricxvi.
2. procenti: a ricxvis k% aris .
3. xarisxi: an = a · a · a · ...· a (n-jer)
an · am = an + m
an : am = an – m
(an)m = an · m
4. proporcia: Tu , maSin ad = bc.
5. siCqare: dro
manZilisiCqare =
6. saSualo ariTmetikuli:
raodenoba monacemTa
jami monacemTasaSualo monacemTa =
7. albaToba: Tu yvela elementaruli xdomiloba Tanabrad mosalodnelia, maSin
xdomilobis albaToba tolia am xdomilobis
xelSemwyob elementarul xdomilobaTa
raodenobis Sefardebisa elementarul
xdomilobaTa saerTo raodenobasTan.
Tu amocanis pirobaSi sawinaaRmdego araa
naTqvami, yovelTvis igulisxmeba, rom elementa-
ruli xdomilobebi Tanabrad mosalodnelia.
8. Semoklebuli gamravlebis formulebi:
(a + b)2 = a2 + 2ab + b2
(a – b)2 = a2 – 2ab + b2
(a + b)(a – b) = a2 – b2 9. naxazze kuTxe SeiZleba moniSnuli iyos kuTxis
gverdebs Soris Casmuli
patara rkaliT, marTi kuTxe
ki _ patara kvadratiT.
∠A aRniSnavs A kuTxis sidides.
10. paraleluri wrfeebi: ori paraleluri wrfis mesame
wrfiT gadakveTisas Siga jvaredina
kuTxeebi tolia: α = β. 11. samkuTxedi:
• samkuTxedis kuTxeebis sidideTa jami
180°-is tolia; • piTagoras Teorema:
marTkuTxa samkuTxedis
hipotenuzis sigrZis
kvadrati kaTetebis sigrZeTa
kvadratebis jamis tolia:
AB2 = AC2 + BC2
• samkuTxedis farTobi samkuTxedis
gverdis sigrZisa da Sesabamisi simaRlis
namravlis naxevris tolia: . 12. oTxkuTxedi:
• oTxkuTxedis kuTxeebis sidideTa jami
360°-is tolia; • marTkuTxedis farTobi misi sigrZisa da
siganis namravlis tolia: S = ab; • paralelogramis farTobi misi gverdis
sigrZisa da am gverdis Sesabamisi simaRlis
namravlis tolia: S = ah.
13. wre, wrewiri: • wrewiris sigrZe L misi
radiusis mixedviT gamoiTvleba
formuliT: L = 2πr; π ricxvi, measedis sizustiT, 3,14-is tolia;
• r radiusiani wris farTobi gamoiTvleba formuliT: S = πr2.
14. marTkuTxa paralelepipedi: • marTkuTxa paralelepipedis
moculoba misi sigrZis, siganisa da
simaRlis namravlis tolia: V = abc; • kubis SemTxvevaSi: a = b = c.
22
raodenobrivi Sedareba
SeadareT erTmaneTs A da B svetebis ujrebSi mocemuli raodenobebi.
Tu A svetis ujraSi mocemuli raodenoba metia B svetis Sesabamis ujraSi mocemul raodenobaze, airCieT (a);
Tu B svetis ujraSi mocemuli raodenoba metia A svetis Sesabamis ujraSi mocemul raodenobaze, airCieT (b);
Tu ujrebSi mocemuli raodenobebi tolia, airCieT (g);
Tu mocemuli informacia sakmarisi araa imis dasadgenad, romeli raodenobaa
meti, airCieT (d).
A B
41.
(a) (b) (g) (d)
42.
Tornikem, sandrom, sofom da anam soko Seagroves.
anam Seagrova yvelaze meti soko, xolo sofom _
yvelaze naklebi.
(a) (b) (g) (d)
43.
rombis gverdis sigrZea a, didi diagonalisa _ d.
(a) (b) (g) (d)
03,1·28 29,1–12,29
gogonebis mier
Segrovebuli sokos
raodenoba
biWebis mier
Segrovebuli sokos
raodenoba
a 2d
23
44.
x da y iseTi ricxvebia, rom 0>x da 0=+ yx .
(a) (b) (g) (d)
45.
ori wrewiri, romelTagan erTis radiusis sigrZea 5 sm,meorisa _ 8 sm, erTmaneTs M da N wertilebSi kveTs.
am wertilebisa da wrewirTa centrebis SeerTebiT
miRebuli oTxkuTxedis perimetri p-s tolia.
(a) (b) (g) (d)
46.
a naklebia 5-ze. a da b ricxvebis saSualo
ariTmetikuli metia 8-ze.
(a) (b) (g) (d)
manZili ricxvTa
RerZze y-is Sesabamisi wertilidan saTavemde
manZili ricxvTa
RerZze x-is Sesabamisi wertilidan saTavemde
26 sm p
13b
24
amocanebi
47. 41-isa da 34-is erT-erT naturalur ricxvze gayofisas miRebuli naSTebi, Sesabamisad, 5-is da 4-is tolia. romelia es naturaluri ricxvi?
(a) 10
(b) 9
(g) 8
(d) 7
(e) 6
48. Tu 2−=x , maSin ( )( )=+−− 32 33 xxx
(a) –9
(b) –6
(g) –3
(d) 3
(e) 6
49. eqspediciis xelmZRvanelma eqspediciis wevrebi 5 jgufad gayo. TiToeul
jgufSi kenti raodenobis wevri aRmoCnda. CamoTvlilTagan romlis toli ar
SeiZleboda yofiliyo eqspediciis wevrTa raodenoba? (a) 51
(b) 43
(g) 37
(d) 25
(e) 22
25
50. a da b marTkuTxa samkuTxedebis wveroebi tolujredebiani badis kvanZebs
emTxveva (ix. naxazi). risi tolia a-s farTobis Sefardeba b-s farTobTan?
(a) 32
(b) 97
(g) 21
(d) 31
(e) 43
51. ramdeniT naklebia udidesi orniSna ricxvi im samniSna ricxvebidan
umciresze, romelTa cifrebis jami 21-is tolia? (a) 200-iT
(b) 250-iT
(g) 300-iT
(d) 350-iT
(e) 400-iT
26
monacemTa analizi
cxrilSi warmodgenilia monacemebi imis Sesaxeb, Tu ramdeni aTasi
srulwlovani adamiani iyo dasaqmebuli dasavleT saqarTvelos sxvadasxva
regionSi 2004-2008 wlebSi, amasTan, 2008 wlis monacemebi moyvanilia kvartalTa mixedviT.
weli da kvartali
aWara imereTi guria samegrelo-zemo svaneTi
raWa-leCxumi da qvemo svaneTi
2004 w 32,00 33,6 4,4 18,3 2,3 2005 w 38,89 39,6 4,9 21,7 2,5 2006 w 36,10 37,4 5,0 20,9 3,3 2007 w 36,12 34,2 5,2 21,9 2,6 2008 w I kv. 32,26 34,6 3,4 20,1 1,3 II kv. 33,14 35,6 3,5 20,6 1,6 III kv. 32,97 36,0 3,9 20,7 1,6 IV kv. 33,83 36,6 3,9 20,3 1,8
cxrilis mixedviT upasuxeT Semdeg 2 SekiTxvas: 52. romel regionSi aRiniSna dasaqmebul adamianTa raodenobis zrda yovel
kvartalSi 2008 wlis ganmavlobaSi? (a) raWa-leCxumsa da qvemo svaneTSi
(b) samegrelo-zemo svaneTSi
(g) guriaSi
(d) imereTSi
(e) aWaraSi
53. davuSvaT, rom aWaraSi 2004 wels 160 aTasi srulwlovani adamiani
cxovrobda. am regionis srulwlovan adamianTa raodenobis ramdeni procenti
yofila dasaqmebuli 2004 wels? (a) 15%
(b) 20%
(g) 25%
(d) 30%
(e) 35%
27
amocanebi
54. saklebis, maklebisa da maTi sxvaobis jami 48-is tolia. risi tolia saklebi? (a) 12-is
(b) 16-is
(g) 20-is
(d) 24-is
(e) 28-is
55. CamoTvlilTagan romeli SeiZleba iyos im samkuTxedis wveroebis koordinatebi, romelic naxazze mocemuli
samkuTxedis simetriulia y-RerZis mimarT?
(a) (2; 1), (4; 3), (2; 7)
(b) (4; 1), (2; 3), (4; 7)
(g) (2; 1), (0; 3), (1; 7)
(d) (–4; –2), (–8; –6), (–4; –14)
(e) (3; –1), (3; –6), (5; –3)
56. kolofSi asanTis Rerebi ewyo. maTi raodenoba jer gaaormages, Semdeg ki 8-iT Seamcires. amis Semdeg kolofSi darCenili asanTis Rerebis raodenoba isev gaaormages, Semdeg ki 8-iT Seamcires. ase moiqcnen mesamedac. amis Sedegad
kolofSi asanTis arc erTi Reri aRar darCa. asanTis ramdeni Reri ewyo
kolofSi Tavdapirvelad? (a) 4
(b) 5
(g) 6
(d) 7
(e) 8
57. daviTs 4-jer naklebi wigni aqvs, vidre _ levans da 2-jer meti, vidre _ Tornikes. samives erTad 70-ze meti wigni aqvs. CamoTvlilTagan romlis toli SeiZleba iyos levanis wignebis raodenoba?
(a) 48
(b) 58
(g) 64
(d) 68
(e) 74
28
58. saerTo centris mqone ori wrewiridan erTis radiusis sigrZea 2 sm, meorisa _ 3 sm. ramdeni kvadratuli santimetria am wrewirebiT SemosazRvruli gamuqebuli
figuris farTobi? (a) π
(b) π2
(g) π3
(d) π4
(e) π5
59. mimdevrobis pirveli wevria 3, xolo meore wevria 6. ras udris am
mimdevrobis me-11 wevri, Tu cnobilia, rom am mimdevrobis nebismieri wevrisa da misi momdevno ori wevris jami erTi da imave ricxvis tolia?
(a) 1
(b) 3
(g) 6
(d) 9
(e) 12
60. yuTSi mxolod wiTeli da TeTri feris windebia. minimum ramdeni winda unda amoviRoT yuTidan, masSi Cauxedavad, rom maTgan aucileblad Sedges 3 wyvili? (wyvils Seadgens ori erTnairi feris winda)
(a) 6
(b) 7
(g) 8
(d) 9
(e) 10
29
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
61.
elenem SabaTs mTeli Tanxis 41 nawili daxarja,
xolo kviras _ darCenili Tanxis 31.
(a) (b) (g) (d)
62. a > b, b > c
(a) (b) (g) (d)
63.
12-gverdiani gazeTis gverdebis dasanomrad, sxva
cifrebTan erTad, saWiroa xuTi 1-iani.
(a) (b) (g) (d)
elenes mier SabaTs
daxarjuli Tanxa elenes mier kviras
daxarjuli Tanxa
200-gverdiani wignis gverdebis dasanomrad
saWiro 1-ianebis raodenoba
300-gverdiani wignis gverdebis dasanomrad
saWiro 5-ianebis raodenoba
a – 3 c – 4
30
64.
kotes xelfasis mesamedi Tengos xelfasis mesamedze
150 lariT metia.
(a) (b) (g) (d)
65.
nebismieri a ricxvisTvis ∗a -iT aRniSnulia a-ze
meti umciresi mTeli ricxvi, xolo a#-iT _ a-ze naklebi udidesi mTeli ricxvi.
(a) (b) (g) (d)
66.
ABCD marTkuTxedia.
(a) (b) (g) (d)
kotes da Tengos xelfasebis sxvaoba
400 lari
ABCD marTkuTxedis perimetris Sefardeba
ABD samkuTxedis perimetrTan
ABCD marTkuTxedis farTobis Sefardeba
ABD samkuTxedis farTobTan
#7·∗a ∗7·#a
31
amocanebi
67. marTkuTxa paralelepipedSi 10 erTnairi kubi isea ganlagebuli, rom yovel or mezobel kubs erTi waxnagi
saerTo aqvs (ix. naxazi). sul ramdeni aseTi kubi Caeteva
am marTkuTxa paralelepipedSi? (a) 75
(b) 60
(g) 55
(d) 45
(e) 30
68. mocemulia namravli 28·15·6·4·2 . CamoTvlilTagan romel ricxvze bs! jzpgb
unaSTod es namravli? (a) 18
(b) 20
(g) 21
(d) 25
(e) 45
69. ricxvebi 2,1, x, y, z, 5,8 zrdis mixedviTaa dalagebuli. gansxvaveba yovel or mezobel ricxvs Soris 1-ze naklebia. CamoTvlilTagan romlis toli SeiZleba iyos y ?
(a) 3,6
(b) 3,7
(g) 3,8
(d) 3,9
(e) 4,1 70. lias 2 gogona hyavs. saaxalwlod liam gogonebs saCuqrad erTnairad
SefuTuli 5 wigni SesTavaza, romelTagan sami leqsebis krebuli iyo, xolo
danarCeni _ moTxrobebisa. TiToeul gogonas TiTo wigni unda aeRo. risi
tolia imis albaToba, rom orive gogonas leqsebis krebuli Sexvdeba? (a) 5
1
(b) 103
(g) 41
(d) 32
(e) 85
32
monacemTa analizi
grafikze warmodgenilia monacemebi imis Sesaxeb, Tu zogadsaganmanaTleblo
skolis TiToeuli safexuris (dawyebiTi, sabazo, saSualo) moswavleTa raodenobis ramden procents Seadgenda amave safexuris im moswavleTa raodenoba, romlebsac
xelovnebasac aswavlidnen 2003/2004 _ 2007/2008 saswavlo wlebSi. magaliTad,
grafikis mixedviT varkvevT, rom 2003/2004 saswavlo wels xelovnebas dawyebiTi skolis moswavleTa 16% Seiswavlida.
diagramaze ki warmodgenilia monacemebi imis Sesaxeb, Tu
zogadsaganmanaTleblo skolis TiToeul safexurze xelovnebis Semswavlel
moswavleTa saerTo raodenobis ramden procents Seadgenda cekvis, musikis, xatvis
Tu xelovnebis sxva dargebis Semswavlel moswavleTa raodenobebi 2007/2008 saswavlo wels. magaliTad, diagramis mixedviT varkvevT, rom 2007/2008 saswavlo wels dawyebiT skolaSi cekvas Seiswavlida dawyebiT skolaSi xelovnebis
Semswavlel moswavleTa 40%.
grafikisa da diagramis mixedviT upasuxeT Semdeg 4 SekiTxvas:
33
71. romel saswavlo wels iyo xelovnebis Semswavlel moswavleTa wili dawyebiT skolaSi 2,2-jer meti, vidre _ saSualo skolaSi?
(a) 2003/2004 saswavlo wels
(b) 2004/2005 saswavlo wels
(g) 2005/2006 saswavlo wels
(d) 2006/2007 saswavlo wels
(e) 2007/2008 saswavlo wels
72. ramdeniT aRemateboda 2006/2007 saswavlo wels sabazo skolaSi xelovnebis Semswavlel moswavleTa procentuli maCvenebeli 2003/2004 saswavlo wlis
Sesabamis maCvenebels? (a) 1-iT
(b) 2-iT
(g) 3-iT
(d) 4-iT
(e) 5-iT
73. ramdenjer aRemateboda 2007/2008 saswavlo wels saSualo skolaSi musikis Semswavlel moswavleTa raodenoba cekvis Semswavlel moswavleTa raodenobas?
(a) 1,5-jer
(b) 2-jer
(g) 2,5-jer
(d) 3-jer
(e) 3,5-jer
74. dawyebiTi skolis moswavleTa raodenobis ramden procents Seadgenda xatvis Semswavlel moswavleTa raodenoba 2007/2008 saswavlo wels?
(a) 2%
(b) 2,5%
(g) 3%
(d) 3,5%
(e) 4%
34
amocanebi
75. figuris radiusis sigrZe vuwodoT am figuris momcvel wreebs Soris umciresis radiusis sigrZes.
marTkuTxedis gverdebis sigrZeebia 3 sm da 4 sm.
risi tolia am marTkuTxedis radiusis sigrZe?
(a) 1,5 sm
(b) 2 sm
(g) 2,5 sm
(d) 3 sm
(e) 3,5 sm
76. Tamarma, naTiam da elenem zRvis napiras sul 36 niJara Seagroves. Tamarma naTias misca 5 niJara, naTiam elenes _ 2 niJara, xolo elenem Tamars _ 7 niJara. amis Semdeg samives toli raodenobis niJarebi aRmoaCndaT. ramdeni niJara
Seugrovebia elenes?
(a) 12
(b) 14
(g) 17
(d) 19
(e) 22
77. ramdeni Wiqa gaawonasworebs or saSaqres
marjvena sasworze ?
(a) 2
(b) 3
(g) 4
(d) 5
(e) 6
35
78. erT sibrtyeze mdebare ori wrewiri erTmaneTs kveTs. erTi wrewiris
radiusis sigrZea 3 sm, meorisa _ 18 sm. qvemoT CamoTvlilTagan romlis toli SeiZleba iyos am wrewirTa centrebs Soris manZili?
(a) 22 sm
(b) 18 sm
(g) 14 sm
(d) 10 sm
(e) 3 sm
79. kunZulze ori sakurorto zonaa: erTi _ dasavleT nawilSi, meore _
aRmosavleT nawilSi. ingliseli
turistebi mxolod kunZulis
dasavleT nawilSi isveneben, xolo
frangebi _ rogorc dasavleT, ise _
aRmosavleT nawilSi.
diagramebze mocemulia, turistebis raodenobis ra nawils Seadgenda frang
da inglisel turistTa raodenoba rogorc kunZulis dasavleT nawilSi, aseve,
mTlianad kunZulze. ramdeni frangi turisti isvenebda kunZulis dasavleT
nawilSi, Tu aRmosavleT nawilSi 72 frangi turisti isvenebda? (a) 36
(b) 48
(g) 60
(d) 72
(e) 108
80. klasis moswavleTagan 12 gogonaa. CamoTvlilTagan romlis toli SeiZleba iyos biWebis raodenobis Sefardeba am klasis moswavleTa saerTo raodenobasTan?
(a) 72
(b) 83
(g) 94
(d) 103
(e) 115
36
Savi samuSaosTvis