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

IIIIIIIIII

2

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. gulgrili : TanagrZnoba

(a) trabaxa : kvexna

(b) Wirveuli : morjuleba

(g) gulubryvilo : motyueba

(d) jiuti : daTmoba

2. Teatri : afiSa

(a) afTiaqi : recepti

(b) stamba : xelnaweri

(g) fosta : konverti

(d) fabrika : iarliyi

3. xanZari : daudevroba

(a) omi : ieriSi

(b) avadmyofoba : zrunva

(g) qorwineba : siyvaruli

(d) Sroma : sibejiTe

4. baRi : mcenare

(a) ca : Rrubeli

(b) qalaqi : Senoba

(g) zRva : kunZuli

(d) qarxana : saxelosno

5. batis frTa : avtokalami

(a) TviTmfrinavi : vertmfreni

(b) lampari : naTura

(g) suraTi : foto

(d) werili : baraTi

3

6. sveti : svetovani

(a) morali : moraluri

(b) citata : citirebuli

(g) romani : romantikuli

(d) ornamenti : ornamentuli

7. brbo : sazogadoeba

(a) Tiva : zvini

(b) furceli : dasta

(g) sayvavile : yvavilnari

(d) qvayrili : qvafenili

8. SimSili : moTxovnileba

(a) tkivili : gancda

(b) survili : ocneba

(g) silamaze : garegnoba

(d) aqcenti : metyveleba

4

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. individi Tavisi miznebis gansaxorcieleblad, erTi mxriv, _____ . meore mxriv, is _____ SenarCunebas cdilobs: _____ jgufs da _____ .

(a) saWiroebs sxvebis mxardaWeras / sakuTari damoukideblobis, Tavisuflebis /

gamoeyofa / gaurbis sxvebTan gaigivebas

(b) ar saWiroebs sxvebTan urTierTkavSirs / sakuTari damoukideblobis,

Tavisuflebis / uerTdeba / gaurbis sxvebTan dapirispirebas

(g) ar erideba sxvebTan konkurencias / maTTan urTierTkavSiris / gaurbis / mis

daqsaqsvas lamobs

(d) gaurbis sxvebTan dapirispirebas / maTTan urTierTkavSiris / gamoeyofa /

sxvebTan daaxloebas eswrafvis

10. damnaSaves garemo warmoSobs. amitom _____ , aramed _____ . amisaTvis ki saWiroa fiqri viswavloT. sworad rom vifiqroT, unda movawesrigoT Cveni

cnobiereba da Cveni suli. maSasadame, Tu _____ Secvla, _____ .

(a) garemo ki ar unda Seicvalos / danaSaulis Camdeni unda SeviwyaloT / ar

gvinda an ar SegviZlia garemos / ganwirulni viqnebiT imisTvis, rom

gamudmebiT veZeboT damnaSaveni da gvZuldes isini

(b) danaSaulis Camdeni ki ar unda daisajos / garemo ar unda Seicvalos /

gvinda da SegviZlia sakuTari Tavis / mivaRwevT imas, rom sazogadoebaSi ar

iqnebian damnaSaveni

(g) danaSaulis Camdeni ki ar unda daisajos / garemo unda Seicvalos / ar

gvinda an ar SegviZlia sakuTari Tavis / ganwirulni viqnebiT imisTvis, rom

gamudmebiT veZeboT damnaSaveni da gvZuldes isini

(d) garemo ki ar unda SevinarCunoT ucvlelad / danaSaulis Camdeni ar unda

SeviwyaloT / gvinda da SegviZlia garemos / mivaRwevT imas, rom

sazogadoebaSi ar iqnebian damnaSaveni

5

11. rodesac adamians raime Zlier awuxebs, maSin nebismieri sityva, romelic

Tundac Soreulad ukavSirdeba am gancdebis mizezebs, iwvevs maTTan

dakavSirebul asociaciebs, anu _____ stimuliT jaWvur asociaciaTa _____

amoqmedeba _____ amoativtivebs adamianis cnobierebaSi im faqtebs, romlebic misi

fsiqikuri travmis _____ .

(a) mniSvnelovani / ganzrax / advilad / Sedegi iyo

(b) umniSvnelo / ganzrax / ver / Sedegi iyo

(g) mniSvnelovani / uneburi / ver / mizezi iyo

(d) umniSvnelo / uneburi / advilad / mizezi iyo

12. saswavlo masalis _____ warmoadgens gamocdis warmatebiT Cabarebis _____ pirobas. _____ , saWiroa masalis _____ .

(a) safuZvlianad aTviseba / aucilebel, magram arasakmaris / amasTan erTad /

Seswavlac

(b) safuZvlianad aTviseba / aucilebel da sakmaris / Tumca, amasTanave / gagebac

(g) gaazrebis unari / aucilebel, magram arasakmaris / amasTan erTad / daswavlac

(d) gaazrebis unari / aucilebel da sakmaris / Tumca, amasTanave / dazepirebac

13. mwerali _____ iyo im nawarmoebebiT, romlebSic Seecada, _____ . es

savsebiT kanonzomieria, vinaidan _____ daimsaxura mxolod im moTxrobebma,

romlebSic avtori am motivebs _____ mimarTavs.

(a) gansakuTrebiT ukmayofilo / xalxuri motivebi gamoeyenebina / kritikosTa

dadebiTi Sefaseba / naklebad

(b) kmayofili / xalxuri motivebisTvis Tavi aeridebina / gansakuTrebiT mZafri

kritika / iSviaTad

(g) kmayofili / xalxuri motivebi gamoeyenebina / gansakuTrebiT mZafri kritika /

xSirad

(d) gansakuTrebiT ukmayofilo / Tavi aeridebina xalxuri motivebisTvis /

kritikosTa qeba / naklebad

6

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. mocemulia: • yvela saTamaSo, romelic yuTSi awyvia, xisaa

• xisgan gakeTebuli yvela saTamaSo Zalian lamazia

qvemoT CamoTvlilTagan romeli debuleba gamomdinareobs am monacemebidan

aucileblad?

(a) yvela saTamaSo, romelic Zalian lamazia, xisaa

(b) yvela saTamaSo, romelic yuTSi awyvia, Zalian lamazia

(g) xisgan gakeTebuli yvela saTamaSo yuTSi awyvia

(d) yvela Zalian lamazi saTamaSo yuTSi awyvia

15. magidis irgvliv sxedan TamaSis monawileni: gela, daTo da eka. maT win magidaze awyvia ori TeTri da sami wiTeli qudi. maswavlebelma TamaSis

monawileebs ise daaxura Tavze am xuTidan erT-erTi qudi, rom TiToeul maTgans

mxolod sxva moTamaSeTa qudebis danaxva SeeZlo.

Semdegi oTxi SemTxvevidan romelSi gamoicnobs eka, Tu ra feris qudi axuravs

mas?

(a) samives axuravs wiTeli qudi

(b) gelas da daTos axuravT wiTeli qudebi, ekas _ TeTri

(g) gelas da daTos axuravT TeTri qudebi, ekas – wiTeli

(d) gelas da ekas axuravT TeTri qudebi, daTos – wiTeli

16. mocemulia: • Jangbadis arseboba wvis aucilebeli pirobaa

qvemoT CamoTvlilTagan romeli winadadebaa am mtkicebis tolfasi?

(a) Tu arsebobs Jangbadi, xdeba wva

(b) Tu Jangbadi ar arsebobs, ar xdeba wva

(g) Tu wva ar xdeba, ar arsebobs Jangbadi

(d) mxolod wva migvaniSnebs Jangbadis arsebobaze

7

17. erT-erTma telekompaniam Caatara mayurebelTa satelefono gamokiTxva imis gasarkvevad, Tu ra gadacemebs uyureben isini dRis garkveul monakveTSi.

gamokiTxva yoveldRe erTsa da imave dros tardeboda. kiTxvaze, `romel

telegadacemas uyurebT axla?~, gamokiTxulTa umravlesoba pasuxobda _

`teleserials~. miRebuli Sedegebis safuZvelze telekompaniis xelmZRvanelobam ivarauda,

rom teleserialebi telegadacemaTa yvelaze popularuli kategoriaa.

qvemoT CamoTvlilTagan romeli faqti ayenebs eWvqveS telekompaniis

xelmZRvanelobis varauds?

(a) gamokiTxvisTvis SerCeuli dro emTxveoda im periods, rodesac mayurebelTa

umravlesoba samsaxuridan mosvlis Semdeg isvenebs da, Sesabamisad, msubuq,

gasarTob programebs aniWebs upiratesobas

(b) gamokiTxvisTvis SerCeuli drois monakveTSi yvela telearxze, rogorc wesi,

teleserialebs uCveneben

(g) telekompaniis xelmZRvanelobis molodinis sapirispirod, aRmoCnda, rom

qalbatonebTan erTad teleserialebs mamakacebic siamovnebiT uyurebdnen

(d) adamiani advilad eCveva teleserialebis yurebas, ris gamoc es procesi

mayurebelTa umravlesobisTvis yoveldRiur aucileblobadaa qceuli

18. studentebi _ nino, zura, goga, salome _ magidis irgvliv sxedan da

musikaze saubroben. maTgan erTs uyvars jazi, meores _ roki, mesames _ bluzi,

meoTxes _ klasikuri musika.

• jazis moyvaruli studenti (es arc ninoa da arc zura) zis bluzis

moyvarul studentsa da salomes Soris

• klasikuri musikis moyvaruli studenti zis rokis moyvarul studentsa

da zuras Soris

qvemoT CamoTvlilTagan romelia marTebuli?

(a) ninos uyvars klasikuri musika, zuras _ bluzi, gogas _ jazi, salomes _ roki

(b) ninos uyvars bluzi, zuras _ roki, gogas _ jazi, salomes _ klasikuri musika

(g) ninos uyvars roki, zuras _ klasikuri musika, gogas _ bluzi, salomes _ jazi

(d) ninos uyvars bluzi, zuras _ jazi, gogas _ klasikuri musika, salomes _ roki

8

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

frangi mecnierebi, sapen-Jaliustri da prevo, gvawvdian uaxles monacemebs

antarqtidis yvelaze ucnaur binadarTa _ saimperatoro pingvinebis Sesaxeb. am

frinvelebma SeZles, Seguebodnen umkacres klimatur pirobebs _ Zlier qars,

romlis siCqare 70 m/wm-ia, da temperaturas, romelic aq _10°-dan _33°-mde meryeobs. antarqtikuli zamTris yvelaze mkacr periodSi es frinvelebi

kvercxebze sxedan. qarbuqi warmoudgeneli siswrafiT arTmevs maT siTbos.

mecnierebi dainteresdnen, ras udris aq qaris gamacivebeli Zala*, da gasaocari

ricxvi miiRes: _180°. saimperatoro pingvinebi am frinvelebs uzarmazari tanisa da didi wonis

gamo uwodes. damcveli qonis fenis miuxedavad, saimperatoro pingvinebi cal-

calke ver iarsebebdnen. swored amitomacaa, rom maT Soris ase ganviTarebulia

`sazogadoebrivi~ Termoregulacia. rodesac temperatura metismetad ecema, 200-

300 pingvini mWidrod ekvris erTmaneTs da qmnis namdvil wres _ e. w. kus. es

wre nela, magram ganuwyvetliv trialebs centris garSemo. bartyebis gamoCekis

dros `kus~ SeiZleba qmnides 500-dan 600-mde individi. centris irgvliv

brunvisas isini nela moZraoben qaris mimarTulebiT. Tovliani qariSxali aq 36-

48 saaTs grZeldeba. rogorc prevom daadgina, aseT qar-TovaSi `ku~ 100-200

metriT icvlis adgils. qariSxlis Semdeg pingvinebi iSlebian. efeqturia Tu ara

aseTi `sazogadoebrivi~ Termoregulacia? frangi mecnierebi darwmundnen mis

efeqturobaSi, rodesac temperatura gazomes. _19° yinvis pirobebSi temperatura `kus~ SuagulSi daaxloebiT +35° aRmoCnda.

siCume da myudroeba pingvinebis koloniisTvis ucxoa. isini sxvadasxvagvar

xmas gamoscemen. zogjer maTi xma sayviris xmis msgavsad JRers da imdenad

Zlieria, rom ramdenime kilometrze ismis. pingvinebis xmaurSi SeiZleba

gavarCioT SeZrwunebis, mrisxanebisa Tu siamovnebis gamomxatveli Zaxili. prevom

kolonias ramdenime kilometriT CamoSorebul pingvins kapiuSoni Camoafara

Tvalebze da mxolod sasmeni organoebi dautova Tavisufali. rogorc ki man

pingvini gauSva, frinveli pirdapir Tavisianebisken gaemarTa. roca piriqiT

moiqca _ sasmeni organoebi dauxSo da Tvalxiluli datova _ dabneulma

frinvelma erT adgilas daiwyo triali da Tavis kolonias ver miagno.

zafxulis bolos (antarqtidaze esaa daaxloebiT martis Sua ricxvebi)

mcuravi yinulebi calkeul natexebad imsxvreva da pingvinebi, romlebic yinulis

natexebze aRmoCndebian, didi manZiliT Sordebian TavianT kolonias. magram roca

zRva yinuliT daifareba, isini, raRac saidumlo xerxis wyalobiT, ukan

brundebian. rogorc ki axalmosuli pingvini kolonias ramdenime metriT

mouaxlovdeba, xris Tavs miwamde, iwyebs simReras, nel-nela Tavs maRla swevs,

miayuradebs da xanmokle pauzis Semdeg pingvinebis grovaSi ereva. am gziT

pingvinebi TavianT `meuRleebsac~ pouloben. prevom rgolebiT daniSna

frinvelebi da darwmunda, rom xmovani signalebi exmareba `meuRleebs~

erTmaneTis moZebnaSi, maTi `ganqorwineba~ ki gamonakliss warmoadgens. magaliTad,

dedali pingvini ubrundeba kvercxze mjdar mamals _ igi mTel koloniaSi

daeZebs mas, poulobs da kvercxze mis adgils ikavebs. maSinac ki, rodesac mTeli

kolonia `kud~ ikvreba, meuRleebi cdiloben, rac SeiZleba axlos iyvnen

erTmaneTTan, isini xSirad Tavs ayrdnoben erTmaneTs.

*qaris gamacivebel Zalas gamoxataven ekvivalenturi Stiluri temperaturiT. mag., qarian

amindSi, _33° temperaturis dros qaris gamacivebeli Zala _180°-ia, niSnavs, rom pingvinebi iseTive sicives SeigrZnoben, rogorsac _ wynar, uqaro amindSi _180°-is SemTxvevaSi.

9

19. ra mimarTebaa I abzacsa da sqolios Soris? (a) I abzacSi daxasiaTebulia antarqtikuli zamTris mkacri klimati, romelTan

Seguebac Zalze uWirT pingvinebs, sqolioSi ki axsnilia, ra temperaturas aRwevs

qaris gamacivebeli Zala Stilis dros

(b) I abzacSi axsnilia, rogor arTmevs qari siTbos kvercxebze msxdar pingvinebs,

sqolioSi ki dazustebulia, rom am dros antarqtidis sanapiroze Stiluri

temperatura _33 gradusia

(g) I abzacSi aRwerilia antarqtikuli zamTris yvelaze mkacri periodi, rodesac

Stiluri temperatura _180 gradusia, sqolioSi ki dakonkretebulia qaris

gamacivebeli Zala aRniSnuli temperaturis pirobebSi

(d) I abzacSi aRwerilia klimaturi pirobebi, romlebTan Seguebac uxdebaT

pingvinebs, sqolioSi ki ganmartebulia garemo pirobebis erT-erTi

maxasiaTeblis sazomi erTeuli

20. ra aris e.w. kus daniSnuleba? (a) pingvinebis mravalricxovani kolonia qmnis namdvil wres, raTa pingvinebma

SeZlon gadaadgileba qar-TovaSi

(b) pingvinebi centris irgvliv brunvisas qaris mimarTulebiT moZraoben, raTa

qariSxlis dros erTmaneTs ar daSordnen

(g) pingvinebi mWidrod ekvrian erTmaneTs da qmnian ganuwyvetliv moZrav wres,

raTa SeinarCunon temperatura garkveul doneze

(d) 500-dan 600-mde pingvinisgan Semdgari wre nela brunavs, raTa xeli ar

SeeSalos bartyebis gamoCekis process

21. sityva `Termoregulacias~ erTvis msazRvreli `sazogadoebrivi~, radgan: (a) pingvinebis kolonia erTgvar sazogadoebas warmoadgens, rac kargad Cans

Termoregulaciis magaliTzec: individTa erToblioba garkveuli wesis dacviT

saerTo miznis misaRwevad urTierTSeTanxmebulad moqmedebs

(b) pingvinebi cal-calke ver iarsebeben da koloniaSi Termoregulaciis dros

maTi gundi socialuri struqturiT unda daemsgavsos namdvil sazogadoebas,

rac mkacr klimatur pirobebTan Seguebis erTgvari saSualebaa (g) Termoregulaciis procesze dakvirvebis Sedegad frinvelTa gundSi naTlad

gamoikveTa sazogadoebrivi Tanaarsebobis elementebi, Sesabamisad, pingvinebis

kolonia adamianTa sazogadoebasTan aris Sedarebuli

(d) pingvinebis gundis socialuri struqtura sazogadoebrivi struqturis

identuria, rac aSkarad gamoCnda pingvinTa sazogadoebrivi Termoregulaciis

efeqturi meqanizmebis ganxilvis magaliTze

22. prevos eqsperimentis Sedegad SeuZlebelia davaskvnaT: (a) pingvinebis mier gamocemuli sxvadasxvagvari xmovani signalebi exmareba maT

erTmaneTis povnaSi

(b) komunikaciis procesSi rogorc vizualuri, aseve smeniTi stimulebi

pingvinebisaTvis gadamwyvet rols asrulebs

(g) pingvinebis sivrceSi orientaciis unari, arsebiTad, akustikur SegrZnebas emyareba

(d) pingvinebis mier sakuTari koloniis Ziebis procesSi xmovani signalebis

mniSvneloba aRemateba vizualurisas

10

23. CamoTvlilTagan romeli aRwers yvelaze zustad pingvinTa wyvilis

urTierTobas?

(a) yinulis natexebze myofi pingvinebi didi manZiliT Sordebian kolonias da

raRac saidumlo xerxis wyalobiT advilad adgenen TavianTi mewyvileebis

adgilsamyofels, vinaidan cdiloben, yovelTvis erTad iyvnen

(b) yinulis dnoba rom iwyeba, xSirad pingvinTa wyvili Sordeba erTmaneTs,

Semdeg ki xmovani signalebis meSveobiT `meuRleebi~ erTmaneTs pouloben da

monacvleobiT sxdebian kvercxze; isini yovelTvis cdiloben, erTad iyvnen

(g) zafxulis bolos pingvinebi didi manZiliT Sordebian kolonias; rgolebiT

daniSnuli frinvelebi advilad pouloben erTmaneTs, danarCenebis Sewyvileba

ki _ gamonakliss warmoadgens, isini mxolod maSin arian erTmaneTTan axlos,

rodesac mTeli kolonia `kud~ ikvreba

(d) zRva rom yinuliT daifareba, pingvinebi ubrundebian kolonias, miaxloebisas

miayuradeben, scnoben `meuRlis simReras~ da ikaveben mewyvilis adgils

kvercxze, isini arasodes Sordebian `meuRles~

24. ra mimarTebaa III da IV abzacebSi aRweril kvlevebs Soris? (a) am kvlevebis procedurebi gansxvavdeba erTmaneTisgan, miuxedavad amisa, maTi

Sedegebi msgavsia

(b) am kvlevebis procedurebi msgavsia, miuxedavad amisa, maTi Sedegebi gansxvavdeba

erTmaneTisgan

(g) am kvlevebis miznebica da procedurebic msgavsia, Tumca maTi Sedegebi

gansxvavdeba erTmaneTisgan

(d) am kvlevebis miznebica da Sedegebic gansxvavdeba erTmaneTisgan, Tumca maTi

procedurebi msgavsia

25. qvemoT dasaxelebulia oTxi Tema, romlebic mimoxilulia teqstSi: 1. antarqtidis binadarTa cxovreba mkacr klimatur pirobebSi

2. smenis gansakuTrebuli mniSvneloba pingvinebis urTierTobaSi

3. pingvinebis gamravleba da masTan dakavSirebuli zogierTi aspeqti

4. mecnieruli kvlevis monacemebi pingvinebis cxovrebasTan dakavSirebiT

romel abzacSi viTardeba TiToeuli Tema, anu pasuxis variantebidan romelia

marTebuli?

(a) 1 _ I, IV abzacebi; 2. _ II, III, IV abzacebi; 3 _ II, III, IV abzacebi; 4. _ III,

IV abzacebi

(b) 1 _ I, III, IV abzacebi; 2. _ III, IV abzacebi; 3. _ II, III, IV abzacebi; 4. _ I,

II, IV abzacebi

(g) 1. _ I, II, IV abzacebi; 2. _ III, IV abzacebi; 3. _ I, II, IV abzacebi; 4. _ I, II,

III, IV abzacebi

(d) 1 _ I, II, III abzacebi; 2. _ II, IV abzacebi; 3. _ I, II, IV abzacebi; 4. _ I, II,

IV abzacebi

11

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. kvali : gakvalva

(a) kaJi : gakaJeba

(b) celi : mocelva

(g) sxivi : dasxiveba

(d) ferfli : daferfvla

27. adamianis sxeuli : warbi

(a) Senoba : rafa

(b) lokokina : niJara

(g) aveji : savarZeli

(d) mdinare : xidi

28. sibraluli : Tavis mosawyleba

(a) rekordi : Sejibri

(b) interesi : reklama

(g) impulsi : moqmedeba

(d) amboxi : revolucia

29. CrdiloeTi : kompasis isari

(a) Wa : WaburRili

(b) mze : mzesumzira

(g) ca : cisartyela

(d) qva : qvafenili

30. samxatvro saxelosno : sagamofeno darbazi

(a) sawnaxeli : yanwi

(b) maRaro : gvirabi

(g) wisqvili : tomara

(d) maRazia : vitrina

12

31. kvlevis meTodi : eqsperimenti

(a) komunikacia : metyveleba

(b) fantazia : warmosaxva

(g) stimuli : reaqcia

(d) hipoTeza : Teoria

32. taiga : jungli

(a) sqolio : teqsti

(b) simfonia : musika

(g) scenari : speqtakli

(d) portreti : naturmorti

33. buxari : kvamli

(a) balaxi : Tiva

(b) naxati : feri

(g) najaxi : nafoti

(d) zRva : talRa

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. adamians _____ uformo, Seucnobel samyaroSi arseboba. garkveuli gagebiT, isic ki SeiZleba iTqvas, rom, zogadad, adamianis istoria im droidan iwyeba,

roca _____ samyaros Tundac Zalze primitiuli, umartivesi interpretacia. am

operaciiT manamde _____ garemomcveli realoba adamianuri gonebisTvis _____

formas iZens.

(a) SeuZlia / ver ganxorcielda / garkveuli, mowesrigebuli da harmoniuli /

kidev ufro gaugebar da miuRebel

(b) SeuZlia / pirvelad moxda / gaurkveveli, uformo da qaosuri / kidev ufro

gaugebar da miuRebel

(g) ar SeuZlia / ver ganxorcielda / garkveuli, mowesrigebuli da harmoniuli

/ gasageb da misaReb

(d) ar SeuZlia / pirvelad moxda / gaurkveveli, uformo da qaosuri / gasageb

da misaReb

13

35. cis yvelaze kaSkaSa varskvlavi siriusia. ibadeba kiTxva: marTla aRemateba siriusi sxva varskvlavebs naTebiT? _____ . siriusi daaxloebiT aTjer ufro

_____ , vidre varskvlavi beTelheize, gamosxivebis namdvili ZaliT igi

beTelheizes aSkarad _____ . am ukanasknelis adgilas rom yofiliyo, siriuss

_____ .

(a) es marTlac asea / Sorsaa dedamiwisgan / aRemateba / verc ki davinaxavdiT

SeuiaraRebeli TvaliT

(b) cxadia, aRemateba / Sorsaa dedamiwisgan / Camouvardeba / SeuiaraRebeli

TvaliTac ki advilad davinaxavdiT

(g) irkveva, rom ara / axlosaa dedamiwasTan / aRemateba / SeuiaraRebeli

TvaliTac ki advilad davinaxavdiT

(d) irkveva, rom ara / axlosaa dedamiwasTan / Camouvardeba / verc ki

davinaxavdiT SeuiaraRebeli TvaliT

36. amaRlebuli stili, romelic mxolod Semoqmedis _____ , iseve _____ , rogorc _____ , radgan amaRlebuli yovelTvis Tanabrad saWiroebs ara marto

_____ .

(a) swrafvasaa mindobili / arasando da arasaimedoa / mezRvaurebisgan

mitovebuli da talRebis saTamaSod qceuli xomaldi / dezebs, aramed

sadavesac

(b) zomierebis grZnobas emyareba / sando da saimedoa / raindis mier kargad

gaxednili da brZolebSi gamocdili cxeni / aRvirs, aramed sadavesac

(g) swrafvasaa mindobili / sando da saimedoa / mezRvaurebisgan mitovebuli da

talRebis saTamaSod qceuli xomaldi / afras, aramed ialqansac

(d) zomierebis grZnobas emyareba / arasando da arasaimedoa / raindis mier

kargad gaxednili da brZolebSi gamocdili cxeni / Ruzas, aramed ialqansac

37. erT diplomats uTqvams, ena imisTvis maqvs, rom Cemi azrebi _____ . am naTqvamSi ufro _____ , vidre _____ , radgan sinamdvileSi veravin wauva

enis saocar Tvisebas: _____ pirovnebis sulieri samyaro.

(a) davfaroo / gonebamaxvilobaa / enamaxviloba / gamoamJRavnos

(b) gamovTqvao / enamaxvilobaa / gonebamaxviloba / ar SeniRbos

(g) davfaroo / enamaxvilobaa / gonebamaxviloba / gamoamJRavnos (d) gamovTqvao / gonebamaxvilobaa / enamaxviloba / SeniRbos

14

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. wels humanitarul fakultetze gacilebiT meti studenti eswreboda A pedagogis leqciebs, vidre _ B pedagogisas. fakultetis dekanma ivarauda, rom A pedagogi masalas ufro sainteresod gadmoscemda, vidre _ B. qvemoT CamoTvlilTagan romeli ayenebs eWvqveS dekanis varauds?

(a) im studentebis raodenobaTa Tanafardoba, romlebic eswrebodnen A da B pedagogebis leqciebs, SarSanac iseTive iyo, rogoric _ wels

(b) A pedagogi studentebs Soris gacilebiT meti popularobiT sargeblobs, vidre _ B

(g) im sagnis Tematika, romelsac A pedagogi aswavlis, gacilebiT popularulia, vidre im sagnisa, romelsac B aswavlis

(d) A da B pedagogebi erTsa da imave sagans aswavlian 39. mocemulia:

• yvela daTvi Zilisgudaa

• Tevzaobis moyvaruli zogierTi cxoveli ar aris Zilisguda

davuSvaT, rom es debulebebi WeSmaritia. maSin qvemoT CamoTvlilTagan romeli

debuleba ar SeiZleba iyos WeSmariti?

(a) zogierTi Zilisguda cxoveli ar aris daTvi

(b) mxolod daTvebi arian Zilisgudebi

(g) Tevzaobis moyvaruli zogierTi cxoveli ar aris daTvi

(d) mxolod daTvebi arian Tevzaobis moyvarulni

15

40. adgilobriv arCevnebze erT-erT saarCevno olqSi erTmaneTs metoqeobas

uwevda ori _ A da B partia. A partiis winasaarCevno programis 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) arCevnebis dros ar dafiqsirebula seriozuli darRvevebi romelime partiis sasargeblod

(g) am saarCevno olqis teritoriaze moqmedebs mravali saganmanaTleblo

dawesebuleba

(d) am saarCevno olqSi arCevnebze mosvla SeZlo mxolod meoTxedma im

amomrCevlebisa, romlebic A partias uWeren mxars 41. mocemulia:

• yvela niangi qvewarmavalia

• nilosSi cxovroben qvewarmavlebi

maSasadame, nilosSi cxovroben niangebi.

es daskvna:

(a) gamomdinareobs erToblivad orive wanamZRvridan

(b) gamomdinareobs TiToeuli wanamZRvridan cal-calke

(g) gamomdinareobs mxolod erT-erTi wanamZRvridan

(d) ar gamomdinareobs mocemuli wanamZRvrebidan

16

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

erT-erTi literaturuli Zegli dasavleTevropul mecnierebaSi cnobilia

farsmanis werilis saxeliT. amJamad Semonaxulia werilis Svidi laTinuri

varianti. pirveli laTinuri varianti, romelic daaxloebiT ax. w. II_IV

saukuneebiT TariRdeba, ar Semonaxula. aseve dakargulia savaraudo berZnuli

originali. werilSi iberiis mefe farsmani mouTxrobs imperator adrianes ara

iberiis an uSualod mis samxreTiT Tu aRmosavleTiT mdebare qveynebis Sesaxeb,

aramed indoeTisa da arabeTis maxloblad arsebul zRaprul mxareebsa da

fantastikur arsebebze, romlebic mogzaurobisas ixila.

miuxedavad romis imperatorebsa da iberiis mefeTa Soris istoriulad

dadasturebuli urTierTobisa, iberia romaelTaTvis mainc Soreul da zRaprul

qveynad, samyaros kided rCeboda. am TvalsazrisiT mniSvnelovania e. w.

poitingeris tabula, anu kastoriusis ruka. es gaxlavT erTaderTi gadarCenili

romauli ruka, romelic, savaraudod, ax. w. IV saukuniT TariRdeba da XII

saukunis erTma aslma Semogvinaxa. poitingeris tabula aris romis imperiis

gzebis ruka, magram gvixatavs im droisaTvis cnobili TiTqmis mTeli qveynierebis

suraTs. didi warwera `iberia~ am rukaze moTavsebulia indoeTTan sakmaod

axlos, SuamdinareTTan. iberia uSualod emezobleba mdinare tigross, mdinare

tigrosi ki pirdapir uerTdeba mdinare gangs. marTalia, tigrosisa da gangis

SeerTebas XII saukunis aslis gadamRebs miaweren, magram indoeTis

SuamdinareTTan daaxloebis tendencia simptomaturia antikuri xanis

geografebisTvisac. etyoba, es mdinareebi erTmaneTTan imdenad axlos iyo

gamosaxuli, rom gadamwers maTi SeerTeba did mkrexelobad aRar moeCvena.

poitingeris tabulaze indoeTTan axlos iberiis ganTavsebas ori axsna

SeiZleba hqondes. pirveli gaxlavT farsman I-isa da farsman II-is dros qarTlis

samefos eqspansia. raki garkveul xans somxeTi, faqtobrivad, qarTlis mefeTa

gamgeblobaSi gadmovida, amitom iberiis sazRvrebi SuamdinareTidan Sors aRar

iyo. marTalia, es ar aris is realoba, romelic poitingeris tabulis Seqmnis

xanaSi arsebobda, magram savaraudoa, rom poitingeris tabula emyareba Zvel

romaul rukebs. meore axsna ki albaT romaelTa Zvel warmodgenebSia saZiebeli.

imperator antonine piusis dros (ax. w. II saukune) farsmani stumrad

Cavida romSi. imperatori daeswro farsmanis mier kapitoliumze msxverplis

Sewirvis ceremonias, aseve _ samxedro varjiSs, romelic farsmanma da misma

Tanmxlebma didebulebma gamarTes. imperatoris brZanebiT, belonas taZarSi

cxenosani farsmanis qandakeba aRimarTa. farsmani, rogorc lamis mTeli

aRmosavleTis mbrZanebeli, ukve berZen istorikosTan, flavius arianesTan,

gvxvdeba. arianes cnobiT, baqtriaSi myof aleqsandre makedonelTan (Zv. w. 336 _

323 ww.), romelic indoeTTan sabrZolvelad emzadeba, modis xvarazmeli mefe

farsmani aTas xuTasi mxedriT, eubneba makedonels, rom kolxebisa da amorZalebis

axlos cxovrobs, da maTze laSqrobis SemTxvevaSi aleqsandres Tavis daxmarebas

sTavazobs. rogorc Cans, Zvel saberZneTsa da romSi farsmani legendaruli

figuraa, ris gamoc igi werilSi moTxrobili egzotikuri ambebis avtorad

miiCnies.

epistole im formiT, rogorc dRes gvaqvs, farsmanis naweri ar gaxlavT,

magram aRniSnul Zegls safuZvlad unda dasdeboda farsmanisa da adrianes

realuri korespondencia. werilSi aSkarad Cans im urTierTobis gamoZaxili,

romelic farsmansa da adrianes unda hqonodaT. garda amisa, aq politikuri

suraTic, ZiriTadad, sworad aris mocemuli. ase rom, SesaZloa marTlac

arsebobda farsmanis werili, romlis safuZvelzec Seiqmna laTinuri Zegli.

laTinuri werili berZnuli wyarodan unda iyos naTargmni. es berZnuli wyaro

Tavad farsmanis epistole iyo Tu misi berZnul enaze ukve gadamuSavebuli

versia, Zneli saTqmelia.

17

42. I abzacis mixedviT, farsmanis werilis Sesaxeb SeiZleba vTqvaT:

(a) werili ekuTvnis iberiis mefes; misi Tavdapirveli varianti laTinuradaa

Sesrulebuli; werilSi aRwerilia iberiis aRmosavleTiT mdebare zRapruli

qveynebi da fantastikuri ambebi

(b) werili eZRvneba romis imperators, Tumca Tavdapirveli varianti berZnuladaa

Sesrulebuli; masSi moTxrobilia indoeTisa da arabeTis zRaprul qveynebsa

da fantastikur arsebebze

(g) werilis Svidi laTinuri variantidan dakargulia mxolod pirveli; ar

Semonaxula arc berZnuli originali; werili TariRdeba II-IV saukuneebiT da

imperator adrianes eZRvneba

(d) werilis berZnuli dedani da Tavdapirveli laTinuri varianti dakargulia;

werilSi moTxrobilia indoeTisa da arabeTis maxlobeli ucnauri qveynebis

Sesaxeb

43. teqstis avtori poitingeris tabulas ganixilavs, raTa:

(a) daadasturos romis imperiisa da iberiis damakavSirebeli gzebis arseboba da

gamokveTos maTi mniSvneloba am qveynebis urTierTobis TvalsazrisiT

(b) cxadyos misi Tanxvedra kastoriusis rukasTan, sadac moniSnulia yvela

mniSvnelovani gza, romelic roms sxva qveynebTan akavSirebda

(g) xazi gausvas Zvel romaul warmodgenebs iberiis mdebareobisa da mniSvnelobis

Sesaxeb im droisaTvis cnobili qveynierebis fonze

(d) gamokveTos iberiis, rogorc samyaros kideSi arsebuli qveynis zRapruloba,

rac mas aRmosavleTis sxva qveynebisgan gamoarCevs

44. ratom iyo poitingeris tabulaze arsebuli erT-erTi Secdoma

simptomaturi?

(a) rogorc romaelTa, aseve Sua saukuneebSi arsebuli warmodgenebis mixedviT,

iberia indoeTis axlos mdebareobda, anu ufro aRmosavleTiT, vidre es

realuradaa, indoeTi ki _ ufro dasavleTiT

(b) antikuri xanis geografebisTvis iberia mainc Soreul da zRaprul qveynad

rCeboda da scildeboda im droisaTvis cnobili qveynierebis farglebs

(g) iberia uSualod emezobleboda SuamdinareTs, mdinare tigross, mdinare

tigrosi ki pirdapir uerTdeboda mdinare gangs, romelic indoeTs kveTs

(d) XII saukunis aslis gadamRebma zustad igive Secdoma dauSva, rac _ IV

saukunis rukis avtorma

18

45. fraza, `es ar aris is realoba~ (III abzaci), exeba:

(a) istoriul viTarebas ax. w. IV saukuneSi, rodesac iberiis sazRvrebi ar iyo

iseTi vrceli, rogorc _ farsman I-isa da farsman II-is dros

(b) XII saukunes, rodesac Zveli romauli rukebis gadamwerebi antikuri xanis

geografebis Secdomebs imeorebdnen

(g) farsmanis werilSi Soreul qveynebze moTxrobil ambebs, romlebic ar

Seesabameba arc IV saukunis romaul rukas da arc XII saukunis mis asls

(d) qarTlis samefos eqspansias farsman I-isa da farsman II-is dros, rac

istoriulad ar dasturdeba

46. qvemoT CamoTvlilTagan romelia varaudi, teqstis mixedviT?

(a) poitingeris tabula aris romis imperiis gzebis ruka, magram gvixatavs im

droisaTvis cnobili TiTqmis mTeli qveynierebis suraTs

(b) raki garkveul xans somxeTi, faqtobrivad, qarTlis mefeTa gamgeblobaSi

gadmovida, amitom iberiis sazRvrebi SuamdinareTidan Sors aRar iyo

(g) es mdinareebi erTmaneTTan imdenad axlos iyo gamosaxuli, rom gadamwers maTi

SeerTeba did mkrexelobad aRar moeCvena

(d) baqtriaSi myof aleqsandre makedonelTan (Zv. w. 336 _ 323 ww.), romelic

indoeTTan sabrZolvelad emzadeba, modis xvarazmeli mefe farsmani aTas

xuTasi mxedriT

47. ra aris farsmanis romSi stumrobis epizodis ZiriTadi funqcia teqstSi?

(a) aRweros imperator antonine piusisa da farsmanis urTierTobis detalebi,

romlebic saeWvos xdis romaelTa mier iberiis mefis aRmosavleTis

mbrZaneblad aRiarebis faqts

(b) xazi gausvas romaelTa mier iberiis mefis legendarul pirovnebad aRiarebis

faqts, romelic SeiZleboda werilis avtorad farsmanis gamocxadebis

safuZveli yofiliyo

(g) naTeli gaxados farsmanis pirovnebis realuroba da werilSi aRwerili

fantastikuri ambebisa da egzotikuri qveynebis ararseboba

(d) damajerebeli gaxados is faqti, rom antikur saberZneTsa da romSi saTanadod

afasebdnen farsmanis samxedro xelovnebas

19

48. qvemoT mocemulia flavius arianes ramdenime cnoba:

I. aleqsandre makedoneli baqtriaSi imyofeba;

II. aleqsandre makedoneli indoeTTan sabrZolvelad emzadeba;

III. aleqsandre makedonelTan midis mefe farsmani;

IV. farsmani xvarazmeli mefea;

V. farsmani amorZalebis axlos cxovrobs.

maTgan romlebi ewinaaRmdegeba teqstis sxva epizodebSi mocemul informacias?

(a) I da III

(b) I, II da IV

(g) III da IV

(d) II, III da V

49. qvemoT CamoTvlilTagan romeli ar asaxavs marTebulad teqstis abzacebs

Soris arsebul mimarTebas?

(a) I abzacSi gamoTqmulia varaudi, rom werilis dedani berZnulia, V abzacSi

ki dasaSvebadaa miCneuli am wyarodan laTinuri variantis Seqmna, Tumca

gaurkvevelia, romel enaze ganicada werilma cvlileba

(b) II abzacSi istoriul faqtadaa miCneuli romisa da iberiis xelisufalTa

Soris urTierTobis arseboba, V abzacSi ki dakonkretebulia, rom am

urTierTobis gamoZaxili maT Soris realurad arsebuli korespondencia unda

yofiliyo

(g) III abzacSi eWvqveSaa dayenebuli romaelTa warmodgenebi iberiis sazRvrebis

Sesaxeb, V abzacSi ki aRwerilia is politikuri suraTi, romelic werilSi,

ZiriTadad, sworadaa mocemuli

(d) IV abzacSi gamokveTilia farsman mefis legendaruli figura, V abzacSi ki

gamoTqmulia varaudi, rom werilis Tavdapirveli berZnuli variantis avtori

SeiZleboda es mefe yofiliyo

50. ra aris teqstis ZiriTadi daniSnuleba?

(a) daadginos erTi literaturuli nawarmoebis avtoris vinaoba

(b) warmoaCinos erTi epistoles Sinaarsis saxecvlilebis SesaZlo mizezebi

(g) agviweros im epoqis politikuri suraTi, romelSic Seiqmna cnobili epistole

(d) gagvacnos erT epistolesTan dakavSirebuli istoriuli da geografiuli

wyaroebi

20

Savi samuSaosaTvis

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. 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.

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

51. (a) (b) (g) (d)

52.

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

53.

MON samkuTxedis erTi wvero

wrewiris centrs emTxveva, xolo

danarCeni wveroebi am wrewirze

mdebareobs (ix. naxazi). °=∠ 80MON .

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

54.

0<b .

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

55.

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

2:4,84,32 − 2,14

310103

sigrZegverdisOM sigrZegverdisMN

ba 3− ba 4+

41

53 20·3515·38 23

19

23

56.

badis TiToeuli ujredis

sigrZec da siganec 1 sm-is tolia. EFKC oTxkuTxedis E, F da K wveroebi badis kvanZebs emTxveva (ix. naxazi).

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

57.

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

58.

wriul diagramaze warmodgenilia, qalaqis

mosaxleobis ramden procents Seadgenen litveli,

rusi Tu sxva erovnebis moqalaqeebi, svetovan

diagramaze ki miTiTebulia imave qalaqis mxolod

litvel moqalaqeTa raodenoba.

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

amocanebi

59. 4 milion 600 aTasi naklebia 9 milion 300 aTasze: (a) 4 milion 700 aTasiT (b) 4 milion 900 aTasiT (g) 5 milion 300 aTasiT (d) 5 milion 700 aTasiT (e) 5 milion 900 aTasiT

EFKC oTxkuTxedis farTobi

15 kv. sm

6-isa da 5-is umci-resi saerTo jeradi

6-isa da 8-is umci-resi saerTo jeradi

qalaqis mosaxleobis

saerTo raodenoba 150 aTasi

24

60. ricxvTa RerZze moniSnulia A, B, C da D wertilebi. A da C wertilebis koordinatebi miTiTebulia naxazze. B wertili AD monakveTis Suawertilia, C wertili ki _ BD monakveTisa. B wertilis koordinatia: (a) 69 (b) 70 (g) 71 (d) 72 (e) 73

61. c ricxvi a ricxvze b-Ti naklebia. a + c = (a) a + b (b) a – b (g) a – 2b (d) 2a – b (e) 2a – 2b

62. dazianebuli kalkulatoris Rilakebidan mxolod `3~-ianis, `6~-ianis da

`gamravlebis~ Sesabamisi Rilakebi muSaobs.

qvemoT CamoTvlilTagan romeli ricxvis miRebaa SeuZlebeli am kalkulatoris

ekranze? (a) 9 (b) 18 (g) 36 (d) 48 (e) 54

monacemTa analizi

arasamTavrobo organizaciam Seamowma ramdenime adgilobrivi da ucxouri

firmis mier warmoebuli xorcisa da Tevzis konservebi imis gasarkvevad, Tu

ramdenad Seesabameba isini normiT gaTvaliswinebul moTxovnebs.

cxrilSi mocemulia, rogori unda iyos normiT TiToeuli firmis mier

warmoebuli konservis cximianoba da energetikuli Rirebuleba, ra maCveneblebia

miTiTebuli etiketze da risi tolia isini faqtobrivad. aseve, mocemulia

konservis 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.

kumisi 56 70 66 170-233 302 180 325 325 faravani 56 56 48 170-233 213 213 325 340

adgi-

lob-

rivi guri 25 36 36 145-150 145 140 240 239 keni 56 68 64 170-233 220 214 525 530

salio 25 30 38 145-150 180 183 240 245

ucxo-

uri balatoni 56 58 52 83-103 65 71 325 300

25

cxrilis mixedviT upasuxeT Semdeg oTx SekiTxvas:

63. ramdeniT naklebia firma `kenis~ mier warmoebuli konservis energetikuli Rirebulebis faqtobrivi maCvenebeli etiketze miTiTebul maCvenebelTan

SedarebiT? (a) 3-iT (b) 6-iT (g) 8-iT (d) 12-iT (e) 18-iT

64. ramdenia iseTi firma, romelTa mier warmoebuli konservis cximianobis

faqtobrivi maCvenebeli normiT gaTvaliswinebul minimalur maCvenebelze metia,

magram naklebia etiketze miTiTebul maCvenebelze?

(a) arc erTi

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

65. dasaSvebia, rom konservis faqtobrivi wona maqsimum 3%-iT gansxvavdebodes etiketze miTiTebuli wonisgan. romelia is firmebi, romelTa mier warmoebuli

konservi ar akmayofilebs am moTxovnas?

(a) `balatoni~ da `faravani~

(b) `kumisi~ da `keni~

(g) `kumisi~ da `guri~

(d) `salio~ da `keni~

(e) `balatoni~ da `guri~

66. qvemoT CamoTvlilTagan romeli winadadebaa marTebuli?

(a) adgilobrivi firmebis mier warmoebuli konservis energetikuli Rirebu-

lebis faqtobrivi maCvenebeli normis farglebSia, ucxourebisa ki _ ara

(b) ucxouri firmebis mier warmoebuli konservis energetikuli Rirebulebis

faqtobrivi maCvenebeli normis farglebSia, adgilobrivebisa ki _ ara

(g) adgilobrivi firmebis mier warmoebuli konservis faqtobrivi wona yovel-

Tvis naklebi iyo etiketze miTiTebul wonaze, ucxourebisa ki _ yovelTvis

meti

(d) zogierTi adgilobrivi firmis mier warmoebuli konservis cximianobis faqtob-

rivi maCvenebeli araa naklebi normiT gaTvaliswinebul minimalur maCvenebelze,

magram is arc erT SemTxvevaSi ar emTxveva etiketze miTiTebul maCvenebels

(e) zogierTi ucxouri firmis mier warmoebuli konservis cximianobis faqtobrivi

maCvenebeli araa naklebi normiT gaTvaliswinebul minimalur maCvenebelze,

magram is arc erT SemTxvevaSi ar emTxveva etiketze miTiTebul maCvenebels

26

amocanebi

67. ramdeniT gadiddeba ricxvi 3333, Tu mis Canawers gverdiT kidev erT 3-ians mivuwerT?

(a) 3-iT (b) 30-iT (g) 300-iT (d) 3000-iT (e) 30000-iT

68. ABCD paralelogramis BD diagonali BC gverdis tolia. es diagonali BC gverdTan 110°-ian kuTxes qmnis (ix. naxazi). ramdeni gradusis tolia AB gverdiTa da BD diagonaliT Sedgenili α kuTxis sidide?

(a) 30° (b) 35° (g) 40° (d) 45° (e) 50°

69. mimdevroba 20 wevrisagan Sedgeba. misi pirveli wevria 370, xolo yoveli momdevno wevri wina wevrze 30-iT naklebia. am mimdevrobis sul ramdeni wevria 150-ze meti?

(a) 6 (b) 7 (g) 8 (d) 9 (e) 10

70. 40%-iT gaZvirebis Semdeg erTi boTli Rvinis Rirebuleba 35 lari gaxda. ramdeni lari Rirda erTi boTli Rvino gaZvirebamde? (a) 28 (b) 25 (g) 21 (d) 18 (e) 14

71. saskolo biblioTekisTvis botanikisa da zoologiis wignebi SeiZines, sul 10 cali, raSic 34 lari gadaixades. botanikis TiToeuli wigni Rirda 3 lari, xolo zoologiisa _ 4 lari. SeZenili wignebidan ramdeni iyo botanikis?

(a) 3 (b) 4 (g) 5 (d) 6 (e) 7

27

72. saerTo centris mqone ori wrewiridan erTi wrewiris diametris sigrZea 18 sm, xolo meoresi _ 10 sm (ix. naxazi). M wertili pirvel wrewirze

mdebareobs, N ki _ meoreze. maqsimum risi toli SeiZleba iyos MN monakveTis sigrZe?

(a) 10 sm (b) 12 sm (g) 14 sm (d) 16 sm (e) 18 sm

73. Tornikes da daTos erTad 32 kakali aqvT. Tornikem daTos 7 kakali rom misces, maT erTi da imave raodenobis kaklebi eqnebaT.

ramdeni kakali hqonia daTos Tavdapirvelad? (a) 9 (b) 14 (g) 16 (d) 21 (e) 25

74. kvadrati, romlis gverdis sigrZea 240 sm, dayofilia tol marTkuTxedebad, romelTa sigrZea 60 sm, xolo sigane _ 15 sm. sul ramdeni aseTi marTkuTxedi miiReba dayofis Sedegad?

(a) 16 (b) 40 (g) 64 (d) 75 (e) 80

75. carieli auzi mxolod erTi miliT 4 sT-Si ivseba, mxolod meoriT _ 5 sT-Si. vTqvaT, orive miliT carieli auzi ivseba x sT-Si. qvemoT CamoTvlilTagan romeli tolobaa marTebuli?

(a) x1

51

41 =−

(b) 154 =+ xx

(g) xx 51

41

=

(d) x1

51

41 =+

(e) 145 =− xx

28

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.

4 kilogrami yvelis Rirebulebaa x lari, xolo 7 kilogramisa _ y lari.

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

77.

or tol wres mxolod erTi saerTo

wertili aqvs da maTi centrebi didi

wris diametrze mdebareobs. TiToeul

maTgans did wrewirTanac mxolod

erTi saerTo wertili aqvs (ix.

naxazi).

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

78.

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

79.

wrewiris diametris sigrZe tolgverda samkuTxedis

gverdis sigrZis tolia.

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

4x

7y

didi wris gamuqebuli

nawilis farTobi

patara wreebis

farTobTa jami

22 3637 − 22 3839 −

am wrewiris sigrZe am tolgverda

samkuTxedis perimetri

29

80.

pirveli avtomobilis siCqaris mexuTedi meore

avtomobilis siCqaris mesamedze naklebia.

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

81.

dawesebulebaSi TanamSromel qalTa da mamakacTa

raodenoba erTmaneTis tolia. qeraTmian qalTa

raodenoba Seadgens TanamSromelTa saerTo

raodenobis 9%-s, xolo qeraTmian mamakacTa

raodenoba _ mamakacTa saerTo raodenobis 18%-s.

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

82.

mravalkuTxedis yvela wvero wrewirze mdebareobs.

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

amocanebi

83. xorblis dafqvis Sedegad miRebuli fqvilis wona dafquli xorblis wonis 80%-ia, xolo miRebuli fqvilis wonis 20% _ umaRlesi xarisxisaa. ramdeni tona

umaRlesi xarisxis fqvili miiReba 40 tona xorblisagan? (a) 20,5 (b) 16 (g) 10,2 (d) 8 (e) 6,4 84. vanom da giam mcire sawarmo aamuSaves, risTvisac TiToeulma maTganma

garkveuli Tanxa daxarja. sawarmodan miRebul mogebas isini yovelTvis am

xarjebis proporciulad inawilebdnen. wlis bolos sawarmos mogebidan vanos

ergo 6 aTasi lari, xolo gias _ 8 aTasi. CamoTvlilTagan romlis toli

SeiZleba iyos, Sesabamisad, vanos da gias mier am sawarmos asamuSaveblad

daxarjuli Tanxa? (a) 12 aTasi lari da 15 aTasi lari (b) 16 aTasi lari da 18 aTasi lari (g) 21 aTasi lari da 24 aTasi lari (d) 24 aTasi lari da 30 aTasi lari (e) 27 aTasi lari da 36 aTasi lari

pirveli avtomobilis

siCqare

meore avtomobilis

siCqare

qeraTmian mamakacTa

raodenoba

qeraTmian qalTa

raodenoba

am mravalkuTxedis

diagonalebis raodenoba

am mravalkuTxedis

gverdebis raodenoba

30

85. marTkuTxedis ori mopirdapire gverdi dayofilia sam tol nawilad da dayofis wertilebi SeerTebulia

monakveTebiT erTmaneTTan an marTkuTxedis wveroebTan.

miRebuli oTxkuTxedebi gamuqebulia (ix. naxazi).

=farTobi ismarTkuTxed

farTobi nawilisi gamuqebulismarTkuTxed

(a) 53

(b) 32

(g) 52

(d) 21

(e) 31

86. Caifiqres ori ricxvi, pirveli _ zeda striqonidan, meore _ qveda striqonidan.

maqsimum risi toli SeiZleba iyos pirveli

da meore ricxvebis sxvaoba? (a) 6 (b) 8 3

2

(g) 17 (d) 11

31

(e) 14 monacemTa analizi

diagramaze mocemulia, erT-erT ucxour universitetSi Caricxul

pirvelkursel gogonaTa ramden procents da vaJTa ramden procents daeniSna

stipendia 1995-2000 wlebSi.

8 51 – 4 11

31 –3 3

2 5

31

diagramis mixedviT upasuxeT Semdeg oTx SekiTxvas:

87. romel wels daeniSna stipendia pirvelkursel gogonaTa 52%-s? (a) 1996 (b) 1997 (g) 1998 (d) 1999 (e) 2000

88. universitetSi Caricxul pirvelkursel vaJTa ramden procents ar daeniSna stipendia 1995 wels?

(a) 34 (b) 42 (g) 46 (d) 54 (e) 62

89. cnobilia, rom 1996 wels universitetSi Caricxul pirvelkurselTa Soris vaJebis raodenoba 2-jer meti iyo gogonebis raodenobaze. ramdenjer meti iyo am wels stipendiat vaJTa raodenoba stipendiat gogonaTa raodenobaze?

(a) 1,6-jer (b) 2-jer (g) 2,2-jer (d) 2,4-jer (e) 4,4-jer

90. qvemoT CamoTvlilTagan romelia marTebuli, diagramis mixedviT?

(a) yovel wels universitetSi Caricxul pirvelkursel gogonaTa naxevarze

mets stipendia eniSneboda

(b) yovel wels universitetSi Caricxul pirvelkursel vaJTa naxevarze mets

stipendia eniSneboda

(g) universitetSi Caricxul pirvelkursel vaJTa Soris stipendiatTa

procentuli wili yovelwliurad matulobda

(d) universitetSi Caricxul pirvelkursel gogonaTa Soris stipendiatTa

procentuli wili yovelwliurad matulobda

(e) universitetSi Caricxul pirvelkursel vaJTa Soris stipendiatTa

procentuli wili yovel wels ufro meti iyo, vidre Sesabamisi wili _

gogonaTa Soris

32

amocanebi

91. kolofSi lurji da TeTri burTulebi Caawyves. lurji burTulebis

raodenoba burTulebis saerTo raodenobis 75%-is toli iyo. mas Semdeg, rac am kolofidan garkveuli raodenobis lurji burTulebi amoiRes, kolofSi lurji

burTulebis raodenoba gautolda TeTri burTulebis raodenobas. ramdenjer

Semcirebula kolofSi lurji burTulebis raodenoba? (a) 4-jer (b) 3,5-jer (g) 3-jer (d) 2,5-jer (e) 2-jer 92. kvadratis gverdis sigrZea 3 sm, xolo marTkuTxedis sigrZea 5 sm, sigane ki _ 4 sm. maTi gaerTianebiT miRebuli eqvskuTxedi diagonaliT

gayofilia or nawilad, romelTagan erTi _

gamuqebulia (ix. naxazi).

ramdeni kvadratuli santimetria gamuqebuli nawilis farTobi? (a) 11 sm2

(b) 13 sm2

(g) 15 sm2

(d) 17 sm2

(e) 18 sm2

93. nebismieri x ricxvisTvis ∗x ganvsazRvroT tolobiT:

26

2+−∗ =

xxx . risi

tolia ( )*** 60 − ?

(a) 71−

(b) 119−

(g) 0 (d) 38

15

(e) 3−

33

94. erT-erTi tomis xalxi mxolod 3 bgeras iyenebs _ 1 xmovansa da 2 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) 7 (b) 6 (g) 5 (d) 4 (e) 3

95. erTi kubis waxnagis farTobi 4-jer naklebia meore kubis waxnagis farTobze. ramdenjer naklebia pirveli kubis moculoba meore kubis moculobaze?

(a) 2-jer

(b) 4-jer

(g) 8-jer

(d) 16-jer

(e) 24-jer

96. k naturaluri ricxvia. (k – 1)-is 6-ze gayofisas miRebuli naSTia 3. risi toli iqneba (k + 1)-is 6-ze gayofisas miRebuli naSTi?

(a) 1 (b) 2 (g) 3 (d) 4 (e) 5

97. marTkuTxa paralelepipedis formis gamWvirvale yuTi TokiTaa Sekruli (ix. naxazi).

CamoTvlilTagan ra sigrZis SeiZleba iyos es

Toki, Tu misi im nawilis sigrZe, romelic kvan-

ZisTvisaa saWiro, metia 20 sm-ze? (a) 242 sm (b) 234 sm (g) 228 sm (d) 220 sm (e) 214 sm

34

98. Tu b ricxvs misive 40%-iT SevamcirebT, miviRebT a ricxvs. =ab

(a) 25

(b) 35

(g) 23

(d) 56

(e) 58

99. SesaRebi iyo marTkuTxedis formis kedeli. mas Semdeg, rac mRebavma 30 wuTis ganmavlobaSi imuSava, SesaRebi darCa kedlis nawili, romelsac aseve marTkuTxe-

dis forma hqonda da romlis sigrZe 2-jer naklebi iyo kedlis sigrZeze, xolo sigane _ 3-jer naklebi kedlis siganeze. ramdeni wuTia saWiro darCenili nawilis SesaRebad, Tu mRebavi imave tempiT gaagrZelebs muSaobas?

(a) 4 (b) 6 (g) 9 (d) 12 (e) 15

100. ricxvTa sasruli mimdevrobis gabnevis maCvenebeli vuwodoT am mimdevrobis wevrTa Soris udidesisa da umciresis sxvaobis mniSvnelobas. magaliTad, 6, 0, 1, –5, 11, 7 mimdevrobis gabnevis maCvenebelia 11 – (– 5) = 16. mocemulia ricxvTa sasruli mimdevroba, romlis luwnomrian wevrTagan

Sedgenili mimdevrobis gabnevis maCvenebeli 15-is tolia, xolo kentnomrian

wevrTagan Sedgenili mimdevrobisa 12-is tolia. qvemoT CamoTvlilTagan romlis toli ar SeiZleba iyos mocemuli mimdevrobis gabnevis maCvenebeli?

(a) 14 (b) 16 (g) 18 (d) 20 (e) 24