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 !

II

2

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. TamaSi : moTamaSe (a) omi : meomari

(b) ojaxi : meojaxe

(g) xanZari : mexanZre

(d) manqana : memanqane

2. mze : nisli (a) qari : namqeri

(b) Tovli : Wyapi

(g) wvima : mtveri

(d) yinuli : zvavi

3. hegemonia : wonasworoba (a) konfliqti : anarqia

(b) okupacia : suvereniteti

(g) krizisi : destabilizacia

(d) integracia : globalizacia

4. deteqtiuri nawarmoebi : danaSauli (a) simpoziumi : moxseneba

(b) konsiliumi : daavadeba

(g) olimpiada : Sejibri

(d) arbitraJi : sanqcia

5. guTani : nadimi (a) salamuri : ialaRi

(b) kverTxi : sasaxle

(g) mikroskopi : eqsperimenti

(d) palitra : gamofena

6. winapiroba : sawindari (a) Sedegi : produqti

(b) Sefaseba : kriteriumi

(g) mizani : strategia

(d) daskvna : analizi

3

winadadebebis Sevseba

am saxis davalebebSi mocemulia winadadebebi, romlebSic ramdenime sityvaa

gamotovebuli. gamotovebuli sityvebi winadadebaSi xazebiT aris aRniSnuli.

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

savaraudo pasuxTa yovel variantSi mocemulia sityvaTa jgufi, romlis

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

varianti, romlis TiToeuli nawilis Tanmimdevrulad Casma Sesabamis

gamotovebul adgilebSi azrobrivad gamarTul winadadebas mogvcems.

7. sakuTari Sexedulebis Secvla da axali ideis gaziareba, romelic _____

gzaze gayenebs, _____ Sens Tavisuflebas, _____ es aris moqmedeba, warmarTuli

Seni gonebis da Senive nebis _____ .

(a) WeSmarit / arafriT emuqreba / Tumca, / Tanaxmad

(b) mcdar / aucileblad zRudavs / Tumca, / winaaRmdeg

(g) mcdar / arafriT emuqreba / radgan / winaaRmdeg

(d) WeSmarit / odnavadac ar zRudavs / radgan / Tanaxmad

8. erTmaneTis Sesaxeb Cveni codna _____ urTierTobisTvis. _____ gmirTa

Sinagani samyaro mkiTxvelisTvis _____ . ai, ratom aris, rom _____ warmodgena

gvaqvs, vidre _____ .

(a) mxolod miaxloebiTia, Tumca, es sakmarisia / literaturaSi ki, Tu avtors

surs, / SeiZleba sruliad gamWvirvale iyos / literaturul personaJebze

xSirad ufro naTeli / realur adamianebze, maT Soris axloblebzec

(b) mxolod miaxloebiTia, Tumca, es sakmarisia / aseve, literaturaSi avtori

zogjer ver axerxebs, rom / savsebiT gamWvirvale iyos / literaturul

personaJebze ufro bundovani / realur adamianebze, maT Soris axloblebzec

(g) zedmiwevniT sruli unda iyos. es aucilebelia / literaturaSi ki, Tu

avtors surs, / SeiZleba savsebiT gamWvirvale iyos / realur adamianebze, maT

Soris axloblebzec, xSirad ufro bundovani / literaturul personaJebze

(d) zedmiwevniT sruli unda iyos. es aucilebelia / aseve, literaturaSi

avtori yvelafers akeTebs, rom / bundovani ar iyos / realur adamianebze,

maT Soris axloblebzec, xSirad ufro naTeli / literaturul personaJebze

9. arqauli epoqis elini iyo _____ adamiani, romlis moTxovnilebas _____

warmoadgenda, _____ aRiareba, romelTa _____ .

(a) uiniciativo, morCili / reformistuli ideebis erTguleba ki ar / aramed

iseT WeSmaritebaTa / keTilmyofelobaSi daarwmunebda sakuTar xelisuflebas

(b) uiniciativo, morCili / reformistuli ideebis erTguleba / da ara _ iseTi

dogmebis / keTilmyofelobas Tavad irwmunebda gonebis TvaliT

(g) maZiebeli, analitikosi / tradiciul dogmaTa erTguleba ki ar / aramed iseT

WeSmaritebaTa / keTilmyofelobas Tavad irwmunebda gonebis TvaliT

(d) maZiebeli, analitikosi / tradiciul dogmaTa erTguleba / da ara _ iseTi

ideebis / keTilmyofelobaSi daarwmunebda sakuTar xelisuflebas

4

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. mocemulia:

• yvela wiwvovani xe maradmwvanea

• am tyeSi yvela xe wiwvovania

davuSvaT, rom es debulebebi WeSmaritia. romeli daskvna gamomdinareobs maTgan?

(a) yvela maradmwvane xe wiwvovania

(b) yvela maradmwvane xe am tyeSi izrdeba

(g) mxolod wiwvovani xeebia maradmwvane

(d) am tyeSi yvela xe maradmwvanea

11. mocemulia: • mecnierebi odesme aucileblad aRmoaCenen axal galaqtikas

Semdegi winadadebebidan romelia mocemulis tolfasi?

(a) SeuZlebelia, mecnierebma odesme aRmoaCinon axali galaqtika

(b) SesaZlebelia, mecnierebma odesme aRmoaCinon axali galaqtika

(g) SesaZlebelia, mecnierebma verasodes aRmoaCinon axali galaqtika

(d) SeuZlebelia, mecnierebma verasodes aRmoaCinon axali galaqtika

12. mocemulia:

• Tu A-s monaTxrobi marTali ar aris, maSin sagzao moZraobis wesi C-s daurRvevia

• Tu A yvelafers zustad mogviTxrobs, maSin B-s Cveneba ar Seesabameba sinamdviles

qvemoT CamoTvlilTagan romeli debuleba gamomdinareobs am wanamZRvrebidan?

(a) sagzao moZraobis wesi daarRvia C-m (b) C-s sagzao moZraobis wesi ar daurRvevia (g) sagzao moZraobis wesi daarRvia C-m, Tuki B-s Cveneba Seesabameba sinamdviles (d) zemoT mocemuli pasuxebidan arc erTi ar aris swori

5

13. myvinTavebma xmelTaSua zRvis sanapirosTan aRmoaCines gamoqvabuli, romelSic Sesvla mxolod zRvidan, wyalqveSa gvirabiT SeiZleba. gamoqvabuli wyliT aris

savse da masSi bevri stalagmitia. stalagmitebi mineralebis svetebia, romelTa

warmoSobis meqanizmi aseTia: Tu gamoqvabulis fskerze erTsa da imave adgilze

didi xnis ganmavlobaSi ecema wylis wveTebi, am adgilas nel-nela ileqeba wyalSi

arsebuli mineralebi da, sabolood, ase daleqili Sreebi svetebs warmoqmnis.

gamoqvabulSi stalagmitebis arsebobis safuZvelze mecnierebma ivaraudes, rom

xmelTaSua zRvis done odesRac axlandelze ufro dabali iyo.

qvemoT CamoTvlilTagan romeli viTareba ayenebs eWvqveS am varauds?

(a) im periodSi, rodesac gamoqvabulSi stalagmitebi yalibdeboda, gamoqvabuls

xmelTaSua zRvasTan ramdenime miwisqveSa gvirabi akavSirebda

(b) gamoqvabulis xmelTaSua zRvasTan damakavSirebeli gvirabi mxolod mogvianebiT

gaCnda, manamde ki gamoqvabuli zRvisgan izolirebuli iyo

(g) gamoqvabulSi arsebuli stalagmitebis mineraluri Semadgenloba xmelTaSua

zRvis wylis mineraluri Semadgenlobis msgavsia

(d) xmelTaSua zRvis wyalSi mineralebis koncentracia axla gacilebiT naklebia,

vidre im dros, roca gamoqvabulSi stalagmitebi yalibdeboda

6

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

cnobilma mogzaurma, karsten niburma, lursmuli teqstebis uamravi asli

Camoitana evropaSi sparseTis Zveli dedaqalaqis, persepolisis, nangrevebidan. es

nangrevebi sparselTa Zveli mefeebis grandiozuli sasaxlis naSTebi aRmoCnda. Tixis

firfitebze Sesrulebuli warwerebi sakmaod gansxvavdeboda erTmaneTisgan. zogierTze

garkveviT Canda sami sxvadasxvagvari damwerloba. cnobilia, rom Zv. w. 540 wels

sparselTa mefem kirosma sastikad daamarcxa babilonelebi, daipyro maTi qveyana da

daaarsa pirveli didi sparsuli samefo. amitom safiqrebeli iyo, rom persepolisis

warwerebSi erT-erTi mainc gamarjvebulTa enaze iqneboda Sesrulebuli.

Zvelsparsuli teqsti Sua svetSi unda yofiliyo. garda amisa, teqstebSi

gansakuTrebiT xSirad meordeboda niSanTa erTi jgufi da erTi iribi niSani.

germanelma mecnierma grotefendma, romelsac persepolisis warwerebis

ramdenime aslis garda araferi gaaCnda, sanaZleo dado, rom lursmul teqstebs

waikiTxavda. grotefendma ar icoda arc erTi im enaTagan, romlebzec

Sesrulebuli iyo warwerebi. mas SeeZlo mxolod zustad aewera da Seeswavla

isini. miuxedavad imisa, rom lursmuli (soliseburi) niSnebi sxvadasxva mxaresaa

mimarTuli, grotefendma daadgina, rom niSanTa ZiriTadi mimarTuleba mainc

oria: zemodan qvemoT da marcxnidan marjvniv. amis safuZvelze man daaskvna, rom

lursmuli warwerebi marcxnidan marjvniv ikiTxeba.

jer kidev grotefendamde gamoTqmuli iyo varaudi, rom niSnebis erTi

jgufi, romelic yvelaze ufro xSirad meordeboda lursmul teqstebSi, `mefes~

aRniSnavda, iribi niSani ki sityvaTa gamyofi iyo. grotefendis azriT, Tu

warweraSi gvxvdeba niSanTa jgufi `mefe~, maSin misi wina sityva (anu niSanTa

wina jgufi) mefis saxeli unda iyos. grotefendma yuradReba miaqcia imas, rom

TiTqmis yvela firfitaze iyo niSanTa aseTi jgufis, anu saxelis mxolod ori

varianti (pirobiTad, X da Y). grotefendis azriT, es imas niSnavda, rom

warwerebi mxolod or mefes exeboda. amasTan, man aRmoaCina warwerebi,

romlebSic orive varianti erTdroulad iyo gamosaxuli. SesaZloa, laparaki

yofiliyo mamasa da Svilze. garda amisa, erT firfitaze, romelzec es saxelebi

iyo gamosaxuli, grotefendma gamoyo niSanTa mesame jgufi, savaraudod, isev

saxeli, romelsac ar mosdevda niSanTa jgufi `mefe~. pirobiTad, es amgvarad

SeiZleba gamoisaxos:

Y mefe, Ze X mefisa; X mefe, Ze Z-isa. grotefendma yuradReba miaqcia imas, rom Z-s ar mosdevda sityva, romlis

mniSvneloba unda yofiliyo `mefe~. amrigad, Tu misi hipoTeza swori iyo, maSin

warweraze gvaqvs aseTi rigi: Svili _ mama _ papa. amasTan, mama da Svili mefeebi

iyvnen, papa ki mefe ar yofila. grotefendma daiwyo sparsel mefeTa genealogiis

Seswavla. man gamoricxa mefeebi kirosi da kambizi, radgan warweraSi moxsenebul

mefeTa saxelebis grafikuli gamosaxulebebi sxvadasxva niSniT iwyeboda. ar iyo

safiqrebeli, agreTve, kirosi da artaqserqse, radgan pirveli saxeli metismetad

moklea, meore ki _ grZeli. rCeboda mxolod dariosi da qserqse, romlebic

mefeebi iyvnen, qserqses mama hisTaspi ki mefe ar yofila. grotefendma berZnul

wyaroebSi (herodotesTan) moxsenebul sparsel mefeTa saxelebs Seusabama maTi

sparsuli formebi. amiT mkvlevarma daazusta am saxelebSi Semavali yvela niSani,

waikiTxa mefeTa saxelebi, titulebi da daadgina is ena, romelzec Sedgenili iyo

warwera.

7

14. qvemoT CamoTvlilTagan romelSia srulad warmodgenili persepolisis

warwerebis Seswavlis sawyis etapze miRweuli Sedegebi? (upasuxeT I abzacis

mixedviT)

(a) lursmuli warwerebi, ZiriTadad, Tixis firfitebzea Sesrulebuli;

lursmuli teqstebi Sedgenilia sxvadasxva enaze; ramdenjerme meordeba niSanTa

erTi jgufi

(b) lursmul warwerebSi niSnebi sakmaod gansxvavdeba erTmaneTisgan; Sua svetis

warwera Zvelsparsul enaze unda yofiliyo Sedgenili; xSirad meordeba iribi

niSnebi

(g) lursmul warwerebSi Cans sami sxvadasxvagvari damwerloba; warweraTa

centralur nawilSi teqsti Zvelsparsul enaze unda yofiliyo Sedgenili;

garkveuli sistemurobaa niSnebTan dakavSirebiT

(d) Tixis firfitebi persepolisis nangrevebidanaa; warwerebis ena Zvelsparsuli

unda iyos; xSirad meordeba niSanTa erTi jgufi da iribi niSnebi

15. rogor daadgina grotefendma, rom lursmuli warwerebi marcxnidan marjvniv ikiTxeba?

(a) man Seiswavla persepolisis warwerebi da, radgan centrSi sparsuli teqsti

iyo, ivarauda, rom persepolisis sxva warwerebic marcxnidan marjvniv

ikiTxeboda

(b) yvela lursmuli niSani marcxnidan marjvniv iyo mimarTuli da, Sesabamisad,

teqstis wakiTxvac am mimarTulebiT iyo savaraudebeli

(g) persepolisis warwerebSi iribi niSnebi daxrili iyo marcxnidan marjvniv,

Sesabamisad, isini unda yofiliyo miCneuli orientirebad warweris

mimarTulebis dadgenis procesSi

(d) lursmuli niSnebi sxvadasxva mxares iyo mimarTuli, Tumca, niSanTa

mimarTuleba, ZiriTadad, zemodan qvemoT an marcxnidan marjvniv iyo

16. ra roli Seasrula saxelis aRmniSvneli niSnebis jgufis ori variantis

gamoyofam lursmuli warwerebis gaSifvris procesSi?

(a) Tu teqstSi saxelis aRmniSvneli niSnebis jgufis ori gansxvavebuli varianti

aSkarad Canda, es imis mimaniSnebeli iyo, rom sasaxle, romlis nangrevebSic

ipoves es firfitebi, ekuTvnoda or mefes _ mamasa da Svils

(b) Tu teqstSi xSirad gameorebuli jgufi aRniSnavda `mefes~, am niSanTa wina

jgufi unda yofiliyo mefis saxeli, erT warweraSi misi ori variantis

arseboba ki mianiSnebda raime niSniT dakavSirebul or mefeze

(g) Tu sasaxlis nangrevebSi aRmoCenil firfitebze ori mefis saxelis garCeva

SeiZleboda, warwerebis gasaSifrad sakmarisi iyo am sasaxlis mkvidr mefeTa

saxelebTan maTi misadageba

(d) Tu didi sparsuli saxelmwifos damaarsebelTa titulebi daemTxveoda

lursmul warwerebSi mikvleul mefeTa titulebs, es iqneboda gardatexa

lursmuli teqstebis gaSifvris saqmeSi

8

17. ratom Seiswavla grotefendma sparsel mefeTa genealogia?

(a) unda daedgina samefo sagvareulodan sami piris saxeli, romelTagan ors, mama-

Svils, samefo tituli hqonda, maTi ojaxis ufrosi Taobis warmomadgenels ki

_ ara

(b) unda daezustebina samefo ojaxis ori warmomadgenlis saxeli, romelTagan

orives mefis tituli hqonda da romlebic erT epoqaSi mefobdnen

persepolisSi

(g) unda daezustebina sami mefis saxeli da daedgina is ena, romelzec Sedgenili

iyo am mefeTa mmarTvelobis dros Sesrulebul warweraTa umravlesoba

(d) unda daedgina ori mefisa da samefo ojaxis erTi warmomadgenlis saxelebi,

raTa daemtkicebina, rom herodotes cnobebi swored am sagvareulos exeboda

18. teqstSi warmodgenilia gasaSifri warweris sqema: Y mefe, Ze X mefisa; X mefe, Ze Z-isa

ra funqcia aqvs warweris amgvar gamosaxvas?

(a) ufro mkafiod Cans, rom sityva `mefe~ samjer meordeba, X, Y da Z ki Zveli sparseTis sami sxvadasxva mefis saxels aRniSnavs

(b) iqmneba warweris erTgvari vizualuri xati, riTac ufro iolad aRsaqmeli

xdeba am sityvaTa mniSvnelobebs Soris arsebuli mimarTeba

(g) X, Y da Z simboloebi naTels xdis warweris Sinaarss, radgan simbolos zogadi Tviseba niSnisa da aRsaniSnis erTianobaa

(d) warweris am formiT warmodgena lursmuli damwerlobis zogad

kanonzomierebas avlens, rac xels uwyobs misi Sinaarsis adekvaturad

interpretirebas

19. qvemoT CamoTvlilTagan romeli ar aRmoCnda gadamwyveti lursmuli

damwerlobis gaSifvris procesSi?

(a) warweris enis codna

(b) niSanTa erTi jgufis xSirad gameoreba

(g) Z-is Semdeg niSanTa xSirad gameorebuli jgufis ararseboba (d) sparseTis mefeTa berZnuli saxelebis sparsuli ekvivalentebi

9

20. cnobilia, rom egvipturi ieroglifebi frangma mecnierma Sampolionma

gaSifra. mas hqonda samenovani warwera, amasTan, gasaSifri teqstis paraleluri

berZnuli Targmani. Sampolionma berZnuli enac icoda da kopturic (egvipturi

enis ganviTarebis bolo safexuri), magram misTvis ucnobi iyo, ieroglifebi

sityvebs aRniSnavda, cnebebs, marcvlebs Tu asoebs.

savaraudod, ra upiratesoba hqonda grotefends SampolionTan SedarebiT?

(a) grotefendma icoda, sad aRmoaCines lursmuli warwerebi, romel mefeebs

ekuTvnoda gasaSifri teqsti da advilad amoikiTxa maTi saxelebi

(b) grotefendamde mecnierebma SeniSnes, rom lursmul teqstebSi xSirad

gameorebuli niSanTa jgufi iyo sityva da aRniSnavda erT-erTi mefis saxels

(g) grotefendma Seiswavla sparsel mefeTa genealogia da ipova is saxelebi,

romlebic firfitaze ewera, Sampolions ki egviptel faraonTa genealogia ar

hqonda

(d) grotefendamde arsebobda varaudi, rom xSirad gameorebuli iribi niSani

sityvaTa gamyofi iyo, es ki sistemis specifikaze mianiSnebda _ niSnebi asoebs

aRniSnavda

10

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. scenaristi : mayurebeli arqiteqtori :

(a) mobinadre

(b) inJineri

(g) mSenebeli

(d) konstruqtori

22. nebarTva : aTavisuflebs xelSekruleba :

(a) aRkveTs

(b) azustebs

(g) adasturebs

(d) avaldebulebs

23. biliki : gzatkecili kapilari :

(a) nervi

(b) myesi

(g) arteria

(d) sisxlZarRvi

24. vefxvi : pantera ia :

(a) buCqi

(b) bolqvi

(g) vardi

(d) yoCivarda

25. alergia : reaqcia imuniteti :

(a) gankurneba

(b) aRdgena

(g) Seuvaloba

(d) janmrTeloba

26. artileristi : kavaleristi freska :

(a) ornamenti

(b) bareliefi

(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. Sexeduleba, romlis Tanaxmad nebismieri socialuri SezRudva ______ ,

adamianis utopiur da ararealistur gagebas emyareba. ______ , rom socialuri

institutebi ______ .

(a) borotebaa / Tumca, meore mxriv, isic aSkaraa / zogierT SemTxvevaSi individs

zedmetad mkacr SezRudvebs uwesebs

(b) sasikeToa / Sesabamisad, arc isaa swori / xandaxan mainc uwesebs individs

zedmetad mkacr SezRudvebs

(g) sasikeToa / Tumca, meore mxriv, isic aSkaraa / bevr SemTxvevaSi individs

zedmetad mkacr SezRudvebs uwesebs

(d) borotebaa / Sesabamisad, arc isaa swori / TiTqmis arasodes uwesebs

individs zedmetad mkacr SezRudvebs

28. uiliam terneri xSirad xatavda nislian londons, nawvimar quCebs. oskar uaildi amtkicebda, rom londonis _____ . am _____ gamosWvivis xelovnebis

qmediTobis idea. _____ , is _____ .

(a) nislma Seqmna terneris ferwera / SefasebaSi / xelovnebis qmediTobas

ganapirobebs samyaros mravalferovneba / ver qmnis samyaros xedvis wess

(b) nisli terneris ferweram Seqmna / paradoqsul mtkicebaSi / xelovneba

ayalibebs samyaros xedvis wess / qmnis Tvals, romelic aRiqvams silamazes,

yurs, romelic swvdeba bgeraTa harmonias

(g) nislma Seqmna terneris ferwera / SefasebaSi / xelovneba ayalibebs samyaros

xedvis wess / srulyofilad ver asaxavs samyaros feradovnebas

(d) nisli terneris ferweram Seqmna / paradoqsul mtkicebaSi / xelovnebis

qmediTobas ganapirobebs samyaros mravalferovneba / qmnis Tvals, romelic

aRiqvams silamazes, yurs, romelic swvdeba bgeraTa harmonias

12

29. marTalia, raindobis praqtika Tavis Teoriul standarts ufro metadac ki ______ , vidre Cveulebriv ______ , is mainc rCeba zneobis istoriis erT-erT

uZvirfases Zeglad. es aris SesaniSnavi magaliTi ______ sazogadoebis

organizebuli mcdelobisa, praqtikaSi daenerga zneobrivi ideali, ______ mis

socialur mdgomareobasa da institutebs.

(a) Camouvardeboda / Camouvardeba praqtika Teorias / araorganizebuli da

daqsaqsuli / bevrad rom uswrebda win

(b) Seesabameboda / Seesabameba praqtika Teorias / mowesrigebuli / bevrad rom

uswrebda win

(g) Seesabameboda / Seesabameba praqtika Teorias / araorganizebuli da

daqsaqsuli / bevrad rom CamorCeboda

(d) Camouvardeboda / Camouvardeba praqtika Teorias / mowesrigebuli / bevrad

rom CamorCeboda

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) mesame an meoTxe firfitas (an orives) aqvs wiTeli zoli

(g) pirvel an mexuTe firfitas (an orives) aqvs wiTeli zoli

(d) meoTxe firfitas aqvs lurji zoli

32. mocemulia: • xoxobi ar miekuTvneba beRurasebrTa ojaxs

• am tyeSi beRurasebrTa bevri sxvadasxva saxeobaa gavrcelebuli

maSasadame, am tyeSi xoxbebi ar budoben.

es daskvna:

(a) gamomdinareobs orive debulebidan, magram ar gamomdinareobs arc erTidan

cal-calke

(b) gamomdinareobs TiToeuli debulebidan cal-calke

(g) gamomdinareobs mxolod erT-erTi debulebidan

(d) ar gamomdinareobs mocemuli debulebebidan

14

33. evropis erT-erT did qalaqSi Catarebuli gamokvlevis Sedegad gairkva, rom bolo aTi wlis ganmavlobaSi qalaqis centraluri raionebis sajaro skolebSi

swavlebis xarisxi gauaresda. eqspertTa mosazrebiT, amis mizezi gareubnebTan

satransporto kavSiris gaumjobesebaa, ramac centrSi dasaqmebul saSualo fenas

SesaZlebloba misca, ufro prestiJul gareubnebSi gadasuliyo sacxovreblad,

centrSi ki koncentrirebuli aRmoCnda yvelaze dabali socialuri fena,

romelsac naklebad aqvs sakuTari interesebis dasacavad saWiro politikuri

Zala.

ras emyareba eqspertTa mosazreba?

(a) didi qalaqis centrsa da gareubnebs Soris iafi da swrafi satransporto

kavSiri yovelTvis iwvevs centraluri ubnebis ganaTlebis sistemis kriziss

(b) ama Tu im ubnis mosaxleobis politikuri Zala gansazRvravs, ramdenad maRali

xarisxisaa aq socialuri samsaxurebi, maT Soris, ganaTlebis sistema

(g) centrSi cxovreba axali satransporto kavSiris damyarebamdec naklebad

prestiJuli iyo, magram aq arsebul skolebSi swavlebis xarisxis gauareseba

kidev ufro araprestiJuls gaxdis centralur ubnebs

(d) saSualo fenis gareubnebSi gadasaxleba imitom aisaxa uaryofiTad

centralur ubnebSi swavlebis xarisxze, rom gareubnebSi sacxovreblad

gadavidnen skolis maswavleblebic, romlebic saSualo fenas miekuTvnebian

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 mocartis sonatas

(b) pianisti ar Seasrulebs baxis fugas (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.

patara qveynebis sagareo politikis Taviseburebebis Seswavlisas

sayuradReboa zogierTi xerxi Tu meTodi, romelsac isini sakuTari

usafrTxoebis uzrunvelsayofad iyeneben. am mxriv sainteresoa patara qveynebis

specifikuri statusis _ neitralitetis _ ganxilva. termini neitraliteti

aRniSnavs saxelmwifoTa Soris urTierTobis formas, agreTve, im saxelmwifos

samarTlebriv statuss, romelic sxva saxelmwifoTa Soris mimdinare saomar

moqmedebebSi ar monawileobs. qveyana kargavs neitraluris statuss, roca saomar

moqmedebaSi Caebmeba, magram ara im SemTxvevaSi, Tu igi agresorisgan icavs Tavs.

neitraliteti mxolod erTi qveynis arCevani ki ar aris, aramed msoflio

politikis mniSvnelovani `moTamaSeebis~ urTierTSeTanxmebis produqtia. es imas

gulisxmobs, rom erTi qveynis survili, iyos neitraluri, unda emTxveodes sxva,

didi da Zlieri qveynebis survils, ixilon amgvari qveyana msoflio rukaze.

ganasxvaveben neitralitetis or formas: mudmivs, anu legalurs _

saerTaSoriso xelSekrulebis safuZvelze gaformebuls, da tradiciuls,

romelic samarTlebrivad ar aris gaformebuli, magram garkveuli saxelmwifos

sagareo politikis principadaa qceuli.

legaluri neitralitetis statusi amJamad mxolod sam saxelmwifos _ Sveicarias,

avstrias da TurqmeneTs _ aqvs miniWebuli. neitralurad gamocxadebul saxelmwifos

ufleba ar aqvs, sakuTari surviliT uaryos Tavisi statusi. is valdebulia,

yvelaferi iRonos, raTa ar iqnes CaTreuli SeiaraRebul konfliqtSi da Tavi

aaridos nebismier qmedebas, romelsac konfliqtis gamowveva SeuZlia. mudmivad

neitraluri saxelmwifo valdebulia, SeinarCunos politikuri da ekonomikuri

damoukidebloba, mas ar SeuZlia, gaxdes romelime ekonomikuri gaerTianebisa Tu

sabaJo kavSiris wevri. Tumca, mudmivi neitraliteti pasiuri sagareo politikis

gatarebas ar gulisxmobs _ neitralur qveyanas SeuZlia aqtiurad daicvas sakuTari

interesebi. mudmivi neitralitetis statusiT saxelmwifos damoukideblobis garantiebi

eniWeba, sxva saxelmwifoebs ki _ imis garantiebi, rom neitraluri qveyana mSvidobiani

iqneba da Tavs aaridebs yvela SesaZlo konfliqts.

tradiciuli neitralitetis SemTxvevaSi saxelmwifo atarebs neitralitetis

politikas, Tumca, samarTlebrivad mas ar ekisreba am statusiT

gaTvaliswinebuli valdebulebebi. evropis oTxi `damsaxurebuli~ neitraluri

saxelmwifodan ori (Sveicaria da avstria) legaluri neitralitetis statusiT

sargeblobs, xolo danarCeni ori (fineTi da SvedeTi), ukve karga xania,

neitralitets sagareo politikis ZiriTad principad aRiarebs.

meore msoflio omis Semdeg neitralitetze uari arc erT neitralur

saxelmwifos ar uTqvams. neitralurma qveynebma sakuTari neitraliteti aqtiur

sagareo politikas SeuTavses da ara mxolod teritoriuli mTlianoba

SeinarCunes, aramed Zlieri ekonomikis ganviTarebac moaxerxes. Tumca, mudmivad

neitraluri saxelmwifoebis ricxvi ar izrdeba. metic, SesaZloa, msoflio

ekonomikis internacionalizaciam, ekonomikuri urTierTkavSirebis gaZlierebam

ganapirobos is, rom momavalSi maT am statusiT aRarc iarsebon. garda amisa,

politikuri procesebic im mimarTulebiT viTardeba, rom neitraliteti zogierT

qveyanas damoukideblobis nakleb garantiebs Seuqmnis, vidre romelime Zlier

samxedro-politikur blokSi gaerTianeba.

16

35. pirvel abzacSi:

(a) dasmulia sakiTxi garkveuli politikuri fenomenis Sesaxeb; mocemulia misi

ZiriTadi maxasiaTeblebi; miTiTebulia am fenomenis ganmapirobebeli faqtorebi

(b) dasabuTebulia erT-erTi politikuri fenomenis Seswavlis aucilebloba;

dasaxelebulia am fenomenis aRmocenebis pirobebi; ganxilulia misi arsebobis

mizezebi

(g) miTiTebulia politikuri urTierTobis erT-erTi saxe; gamokveTilia misi

ganmapirobebeli faqtorebi; daxasiaTebulia am urTierTobis pozitiuri

Sedegebi

(d) ganxilulia politikuri usafrTxoebis dacvis xerxebi; warmodgenilia maTi

gamoyenebis Taviseburebebi; miTiTebulia usafrTxoebis ganmsazRvreli pirobebi

36. winadadeba: `erTi qveynis survili, iyos neitraluri, unda emTxveodes sxva, didi da Zlieri qveynebis survils, ixilon amgvari qveyana msoflio rukaze~

gulisxmobs, rom:

(a) qveyana SeinarCunebs neitralitets, Tu mas eqneba Zlieri qveynebis agresiuli

qmedebebisgan Tavdacvis SesaZlebloba

(b) qveyana moipovebs neitralitetis statuss, Tu mis mimarT sxva qveynebs ar

eqnebaT garkveuli saxis pretenziebi

(g) neitralitetis statusi qveyanas uqmnis pirobas, daimkvidros adgili msoflio

rukaze

(d) neitralitetis statusi qveyanas avaldebulebs, Tavi Seikavos Zalis

gamoyenebisgan nebismier situaciaSi

37. qvemoT CamoTvlilTagan romelSi ar aris sworad aRwerili mudmivi neitralitetis statusis mqone qveynebis uflebebi?

(a) maT ufleba aqvT, SeiaraRebuli gziT daicvan TavianTi damoukidebloba, Tumca,

am mizniT isini ver SeZleben romelime samxedro blokSi gaerTianebas

(b) maT ufleba aqvT, gaataron damoukidebeli sagareo da saSinao politika,

Tumca, ar SeuZliaT, sxva saxelmwifoebTan SeuTanxmeblad Seicvalon statusi

(g) maT SeuZliaT sxva qveynebisgan damoukideblobis garantiebis miReba, amasTan, ar

aqvT ufleba, CaerTon saerTaSoriso konfliqtSi

(d) maT SeuZliaT, aqtiurad daicvan sakuTari interesebi, amasTan, ufleba ar aqvT,

uari Tqvan sxva qveynebTan ekonomikur urTierTobebze

17

38. ra mniSvnelobiT aris gamoyenebuli IV abzacSi sityva `damsaxurebuli~ neitralur qveynebTan mimarTebaSi?

(a) am qveynebma Seqmnes saerTaSoriso usafrTxoebis mtkice garantiebi

(b) am qveynebs neitralitetis samarTlebrivi statusi mieniWaT maT mier nakisri

valdebulebebis Sesrulebis Sedegad

(g) es qveynebi mravali wlis ganmavlobaSi mtkiced icavdnen konfliqtSi

Caurevlobis principebs

(d) es qveynebi miekuTvnebian im saxelmwifoTa ricxvs, romlebmac moipoves

damoukidebeli ekonomikuri da politikuri ganviTarebis garantiebi

39. legaluri da tradiciuli neitralitetis Sedarebis safuZvelze SeiZleba davaskvnaT:

(a) I SemTxvevaSi neitraliteti mxolod sxva saxelmwifoebis mxridan dakisrebuli

valdebulebaa, xolo II SemTxvevaSi _ saerTaSoriso SeTanxmebis Sedegi

(b) I SemTxvevaSi neitraliteti samarTlebrivad gaformebuli politikuri

SeTanxmebis Sedegia, xolo II SemTxvevaSi _ ama Tu im saxelmwifos politikuri

nebis gamoxatuleba

(g) rogorc I, aseve, II SemTxvevaSi neitralitetis statusi avaldebulebs qveyanas,

upiratesoba mianiWos ara sakuTar, aramed _ sxva saxelmwifoebis interesebs

(d) rogorc I, aseve, II SemTxvevaSi neitralur qveyanas ar SeuZlia aqtiurad

daicvas sakuTari interesebi, rac gamoricxavs mis mier saerTaSoriso

daZabulobis Seqmnas

40. romeli debuleba gadmoscems marTebulad bolo abzacis ZiriTad azrs?

(a) neitralitetis politika xels uwyobs qveynis ekonomikuri da politikuri

Zlierebisa da stabilurobis SenarCunebas, miuxedavad amisa, Znelia misi

SeTavseba msoflio globalizaciis tendenciebTan

(b) neitralitetis statusis mqone qveynebma SeiZleba momavalSi aRar iarsebon,

radgan es statusi maT yovelgvar iniciativas zRudavs da msoflio

politikaSi Caurevlobas moiTxovs

(g) neitralitetis politikis Tanmimdevrulad gatarebas, savaraudod, mohyveba

patara qveynebis ekonomikurad gaZliereba, rac ewinaaRmdegeba msoflio

politikis mniSvnelovan `moTamaSeTa~ interesebs

(d) neitralitetze uaris Tqma saxelmwifosTvis politikurad momgebiani ar aris,

radgan ama Tu im samxedro-politikur blokSi gaerTianeba mas

damoukideblobis met garantiebs ver uqmnis

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.

gogonebma ufro meti soko Seagroves, vidre biWebma.

gogonebidan yvelaze meti soko Seagrova anam, xolo

biWebidan _ sandrom.

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

43.

rombis gverdis sigrZea a, mcire diagonalisa _ d.

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

52·7,3 2,5·37

sandros mier

Segrovebuli sokos

raodenoba

anas mier

Segrovebuli sokos

raodenoba

d a

23

44.

x da y iseTi ricxvebia, rom 0<x da 0>+ yx .

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

45.

saerTo centris mqone ori wrewiridan erTis

radiusis sigrZea 3 sm, meorisa _ 8 sm. AOBsamkuTxedis A wvero erT-erT wrewirze mdebareobs, B _ meoreze, xolo O wvero am wrewirTa saerTo

centrs emTxveva.

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

46.

a naklebia 3-ze. a da b ricxvebis saSualo

ariTmetikuli metia 7-ze.

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

manZili ricxvTa

RerZze y-is Sesabamisi wertilidan saTavemde

manZili ricxvTa

RerZze x-is Sesabamisi wertilidan saTavemde

22 sm AOB samkuTxedis perimetri

10b

24

amocanebi

47. 44-is da 51-is erT-erT naturalur ricxvze gayofisas miRebuli naSTebi, Sesabamisad, 4-is da 3-is tolia. romelia es naturaluri ricxvi?

(a) 9

(b) 8

(g) 7

(d) 6

(e) 5

48. Tu 1−=y , maSin ( )( )=+++− 32 2121 yyy

(a) –12

(b) –6

(g) 0

(d) 6

(e) 12

49. kvlevaSi sul 57 studenti monawileobda, romlebic ramdenime jgufSi

gaanawiles. qvemoT CamoTvlilTagan romlis toli SeiZleba iyos im jgufebis

raodenoba, romlebSic studentebis raodenoba kentia? (a) 2

(b) 3

(g) 4

(d) 6

(e) 10

25

50. a da b samkuTxedebis wveroebi tolujredebiani badis kvanZebs emTxveva

(ix. naxazi). risi tolia a-s farTobis Sefardeba b-s farTobTan?

(a) 23

(b) 58

(g) 47

(d) 59

(e) 35

51. ramdeniT metia udidesi samniSna ricxvi im samniSna ricxvebidan udidesze, romelTa cifrebis jami 17-is tolia?

(a) 17-iT

(b) 18-iT

(g) 19-iT

(d) 20-iT

(e) 21-iT

26

monacemTa analizi

cxrilSi warmodgenilia monacemebi imis Sesaxeb, Tu ramdeni aTasi

srulwlovani adamiani iyo dasaqmebuli dasavleT saqarTvelos sxvadasxva

regionSi 2003-2007 wlebSi, amasTan, 2007 wlis monacemebi moyvanilia kvartalTa mixedviT.

weli da kvartali

aWara imereTi guria samegrelo-zemo svaneTi

raWa-leCxumi da qvemo svaneTi

2003 w 32,00 33,6 4,4 18,3 2,3 2004 w 38,89 39,6 4,9 21,7 2,5 2005 w 36,00 37,4 5,0 20,9 3,3 2006 w 36,30 37,2 5,2 21,9 2,6 2007 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. rodis aRemateboda guriaSi dasaqmebul adamianTa raodenoba raWa-leCxumsa da qvemo svaneTSi dasaqmebulTa raodenobas 2-jer?

(a) 2004 wels

(b) 2005 wels

(g) 2006 wels

(d) 2007 wlis I kvartalSi

(e) 2007 wlis III kvartalSi 53. davuSvaT, rom aWaraSi 2005 wels 120 aTasi srulwlovani adamiani

cxovrobda. am regionis srulwlovan adamianTa raodenobis ramdeni procenti

yofila dasaqmebuli 2005 wels? (a) 10%

(b) 15%

(g) 20%

(d) 25%

(e) 30%

27

amocanebi

54. saklebis, maklebisa da maTi sxvaobis jami 60-is tolia. risi tolia maklebisa da sxvaobis jami?

(a) 15-is

(b) 20-is

(g) 25-is

(d) 30-is

(e) 35-is

55. CamoTvlilTagan romeli SeiZleba iyos im samkuTxedis wveroebis koordinatebi, romelic naxazze mocemuli

samkuTxedis simetriulia y-RerZis mimarT? (a) (–4; 1), (–2; 3), (–4; 7)

(b) (–2; 1), (–4; 3), (–2; 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 10-iT Seamcires. amis Semdeg kolofSi darCenili asanTis Rerebis raodenoba isev gaaormages, Semdeg ki 10-iT Seamcires. ase moiqcnen mesamedac. amis Sedegad

kolofSi asanTis mxolod 2 Reri darCa. asanTis ramdeni Reri ewyo kolofSi Tavdapirvelad?

(a) 5

(b) 6

(g) 7

(d) 8

(e) 9

57. daviTs 2-jer naklebi wigni aqvs, vidre _ levans da 4-jer meti, vidre _ Salvas. samives erTad 70-ze naklebi wigni aqvs. CamoTvlilTagan romlis toli SeiZleba iyos daviTis wignebis raodenoba?

(a) 16

(b) 18

(g) 22

(d) 24

(e) 28

28

58. saerTo centris mqone ori wrewiridan erTis radiusis sigrZea 1 sm, meorisa _ 4 sm. ramdeni kvadratuli santimetria am wrewirebiT SemosazRvruli gamuqebuli

figuris farTobi? (a) π3

(b) π5

(g) π9

(d) π15

(e) π17

59. mimdevrobis mesame wevria 6, mexuTe wevri ki 1-is tolia. ras udris am mimdevrobis pirveli wevri, Tu cnobilia, rom am mimdevrobis nebismieri wevrisa

da misi momdevno ori wevris jami 10-is tolia? (a) 1

(b) 3

(g) 5

(d) 6

(e) 10

60. yuTSi mxolod wiTeli, lurji 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 51 nawili daxarja,

xolo kviras _ darCenili Tanxis 31.

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

62. b < a

(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

3 – b 2 – a

400-gverdiani wignis gverdebis dasanomrad

saWiro 5-ianebis raodenoba

400-gverdiani wignis gverdebis dasanomrad

saWiro 8-ianebis raodenoba

30

64.

vanos honoraris ori mesamedi Tengizis honoraris

or mesamedze 240 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.

AMND marTkuTxedis farTobis Sefardeba ABCD marTkuTxedis farTobTan

41-is tolia.

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

AMND marTkuTxedis perimetris Sefardeba ABCD marTkuTxedis perimetrTan 4

1

vanos da Tengizis honorarTa sxvaoba

360 lari

( )#3∗−a ( )∗− 3#a

31

amocanebi

67. marTkuTxa paralelepipedSi 9 erTnairi kubi isea ganlagebuli, rom yovel or mezobel kubs erTi waxnagi

saerTo aqvs (ix. naxazi). sul ramdeni aseTi kubi Caeteva

am marTkuTxa paralelepipedSi? (a) 27

(b) 30

(g) 36

(d) 40

(e) 45

68. CamoTvlilTagan romeli namravli iyofa unaSTod 60-ze? (a) 28·25·10·2

(b) 28·12·6·4

(g) 45·25·15·10

(d) 35·27·25·14

(e) 34·25·21·14

69. ricxvebi 2, x, y, 4,8 zrdis mixedviTaa dalagebuli. gansxvaveba yovel or mezobel ricxvs Soris 1-ze naklebia. CamoTvlilTagan romlis toli SeiZleba iyos x?

(a) 2,5

(b) 2,6

(g) 2,7

(d) 2,8

(e) 2,9 70. lias 2 vaJi hyavs. saaxalwlod liam vaJebs saCuqrad erTnairad SefuTuli 4 wigni SesTavaza, romelTagan ori moTxrobebis krebuli iyo, xolo danarCeni _ leqsebisa. TiToeul vaJs TiTo wigni unda aeRo. risi tolia imis albaToba,

rom orive vaJs moTxrobebis krebuli Sexvdeba? (a) 2

1

(b) 31

(g) 41

(d) 61

(e) 121

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 sabazo

skolis moswavleTa 12% 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 2,5-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 naklebia 2006/2007 saswavlo wels sabazo skolaSi xelovnebis

Semswavlel moswavleTa procentuli maCvenebeli wina saswavlo wlis Sesabamis

maCvenebelze? (a) 1-iT

(b) 2-iT

(g) 3-iT

(d) 4-iT

(e) 5-iT

73. xelovnebis Semswavlel moswavleTa ramdeni procenti swavlobda musikas

dawyebiT skolaSi 2007/2008 saswavlo wels? (a) 10%

(b) 20%

(g) 30%

(d) 40%

(e) 50%

74. saSualo skolis moswavleTa raodenobis ramden procents Seadgenda xatvis Semswavlel moswavleTa raodenoba 2007/2008 saswavlo wels?

(a) 1%

(b) 1,5%

(g) 2%

(d) 2,5%

(e) 3%

34

amocanebi

75. figuris radiusis sigrZe vuwodoT am figuris momcvel wreebs Soris

umciresis radiusis sigrZes.

marTkuTxa samkuTxedis kaTetebis sigrZeebi

tolia marTkuTxedis gverdebis sigrZeebisa.

risi tolia marTkuTxa samkuTxedis radiusis

sigrZis Sefardeba marTkuTxedis radiusis sigrZesTan? (a) 2

1-is

(b) 1-is (g) 2

3-is

(d) 2-is (e) 3

4 -is

76. Tamarma, naTiam, sofom da elenem zRvis napiras sul 32 niJara Seagroves. Tamarma naTias misca 7 niJara, naTiam sofos _ 4 niJara, sofom elenes _ 1 niJara, xolo elenem Tamars _ 6 niJara. amis Semdeg oTxives toli raodenobis niJarebi aRmoaCndaT. ramdeni niJara Seugrovebia sofos?

(a) 5

(b) 6

(g) 7

(d) 8

(e) 9

77. ramdeni Wiqa gaawonasworebs Caidansa

da saSaqres marjvena

sasworze ? (a) 7

(b) 6

(g) 5

(d) 4

(e) 3

35

78. erT sibrtyeze mdebare ori wrewiri erTmaneTs kveTs. erTi wrewiris

radiusis sigrZea 2 sm, xolo wrewirTa centrebs Soris manZili 17 sm-ia. qvemoT CamoTvlilTagan romlis toli SeiZleba iyos meore wrewiris radiusis sigrZe?

(a) 13 sm

(b) 15 sm

(g) 17 sm

(d) 19 sm

(e) 21 sm

79. kunZulze, romelzec mxolod ori _ A da B _ dasasvenebeli kompleqsia,

isveneben frangi da ingliseli turistebi.

frangebi isveneben orive kompleqsSi, xolo

ingliselebi _ mxolod B kompleqsSi.

diagramebze mocemulia, turistebis

raodenobis ra nawils Seadgenda frang da

inglisel turistTa raodenoba B kompleqsSi da mTlianad kunZulze. sul ramdeni frangi turisti isvenebda kunZulze, Tu A dasasvenebel

kompleqsSi 48 frangi turisti isvenebda? (a) 48

(b) 64

(g) 80

(d) 96

(e) 144

80. klasis moswavleTagan 12 gogonaa. CamoTvlilTagan romlis toli ar SeiZleba iyos biWebis raodenobis Sefardeba am klasis moswavleTa saerTo raodenobasTan?

(a) 137

(b) 32

(g) 107

(d) 85

(e) 94

36

Savi samuSaosTvis