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. dialogi : sityva (a) dayofa : nawili

(b) siaruli : nabiji

(g) Zili : sizmari

(d) kvleva : sakiTxi

2. ska : Tafli (a) rezidencia : kabineti

(b) arqivi : dokumenti

(g) beReli : fqvili

(d) marani : Rvino

3. moxetiale : mogzauri (a) momRerali : vokalisti

(b) xumara : komikosi

(g) veqili : advokati

(d) xelovani : moqandake

4. varaudi : winaswari (a) faqti : SemTxveviTi

(b) daskvna : gamomdinare

(g) sakiTxi : gansaxilveli

(d) mizani : ganxorcielebuli

5. layuCi : filtvi (a) hamaki : bade

(b) ialqani : paraSuti

(g) roiali : violino

(d) roboti : kompiuteri

6. rezervuari : maragi (a) labirinTi : ganlageba

(b) cenzura : kontroli

(g) stereotipi : gameoreba

(d) maketi : masStabi

3

7. javSani : skafandri (a) Senakadi : SesarTavi

(b) kvirti : yvavili

(g) igavi : novela

(d) guga : Tvali

8. anesTeziologi : qirurgi (a) redaqtori : mwerali

(b) grimiori : reJisori

(g) mxatvari : fermweri

(d) fizikosi : laboranti

9. saxeoba : mravalferovneba (a) bgera : harmonia

(b) feri : speqtri

(g) ieroglifi : anbani

(d) azri : konsensusi

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.

10. _____ oratori, romelic _____ , rac _____ , da _____ imaze mets, vidre saWiroa.

(a) warmatebulia / ambobs yvelafers / saWiroa / ar ambobs

(b) warumatebelia / mxolod imas ambobs / saWiroa / ambobs

(g) warmatebulia / ar ambobs imas / araa saWiro / ambobs

(d) warumatebelia / mxolod imas ambobs / saWiro araa / ar ambobs

11. xelovnebaSi SesaZlebelia ara marto akrZalulis, aramed SeuZleblis

gamoxatvac. _____ sinamdvilesTan SedarebiT xelovneba _____ Tavisufalia,

_____ , Tavisuflebis es gancda _____ damkvirvebels, romelic xelovnebas

sinamdvilis poziciidan umzers.

(a) amitom / naklebad / amasTan / ar gulisxmobs

(b) amitom / bevrad ufro / Tumca / gulisxmobs

(g) miuxedavad amisa, / naklebad / Tumca / ar gulisxmobs

(d) miuxedavad amisa, / bevrad ufro / amasTan / gulisxmobs

4

12. saerTaSoriso urTierTobebSi _____ kompleqsuri urTierTdamokidebulebebi saxelmwifoTa Soris. Sesabamisad, samxedro Zala _____ erTaderTi gadamwyveti

faqtori, _____ misi mniSvneloba _____ .

(a) ver Camoyalibda / aRar aris / Tumca, nebismier situaciaSi, yovelgvar

urTierTobaSi / gasaTvaliswinebeli ar aris

(b) mkvidrdeba / aRar aris / Tumca, kritikul situaciebSi, garkveuli tipis

urTierTobebSi / kvlavac didia

(g) ver Camoyalibda / SeiZleba iyos / amitom kritikul situaciebSi, garkveuli

tipis urTierTobebSi / gasaTvaliswinebeli ar aris

(d) mkvidrdeba / SeiZleba iyos / amitom nebismier situaciaSi, yovelgvar

urTierTobaSi / kvlavac didia

13. adamianis gaazrebul qmedebas yovelTvis aqvs raime mizani. mizani _____

movlenis _____ . amitom _____ , rom adamianis swrafva, mizani `dausaxos~

sakuTar moqmedebebs, _____ mianiSnebs.

(a) aucileblad gulisxmobs / garkveul dasasruls / unda vifiqroT / uwyveti

realobis pirobiT segmentebad dayofis mcdelobaze

(b) rodi gulisxmobs / usasrulobas / unda vifiqroT / am moqmedebaTa

usasrulo procesebad aRqmis mcdelobaze

(g) aucileblad gulisxmobs / usasrulobas / ar unda vifiqroT / am moqmedebaTa

usasrulo procesebad aRqmis mcdelobaze

(d) rodi gulisxmobs / garkveul dasasruls / ar unda vifiqroT / uwyveti

realobis pirobiT segmentebad dayofis mcdelobaze ar

5

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:

• Tu prezidenti xels moawers am kanonproeqts, is dakargavs fermerTa

ndobas

• Tu prezidenti xels ar moawers am kanonproeqts, is dakargavs biznesmenTa

mxardaWeras

davuSvaT, rom yvela es wanamZRvari WeSmaritia. maSin qvemoT CamoTvlilTagan

romeli debulebaa aucileblad mcdari?

(a) prezidenti ar dakargavs fermerTa ndobas

(b) prezidenti ar dakargavs biznesmenTa mxardaWeras

(g) prezidenti ar dakargavs an fermerTa ndobas an biznesmenTa mxardaWeras

(d) prezidenti ar dakargavs arc fermerTa ndobas da arc biznesmenTa

mxardaWeras

15. ori kolofidan erT-erTSi devs beWedi, erT-erTSi – Zewkvi. I kolofs

aweria: `am kolofSi ar devs Zewkvi~, II kolofze ki aseTi warweraa: `beWedic da

Zewkvic am kolofSia~. am warwerebidan erTi WeSmaritia, erTi – mcdari.

romel kolofSia beWedi da romelSi – Zewkvi?

(a) beWedi devs I kolofSi, Zewkvi – meoreSi

(b) beWedi devs II kolofSi, Zewkvi – pirvelSi

(g) orive devs I kolofSi

(d) orive devs II kolofSi

6

16. studentebi diskusias marTavdnen auditoriaSi, romelsac damkvirvebelTa

oTaxisgan minis tixari yofda. damkvirveblebs mxolod vizualuri dakvirvebis

safuZvelze unda gamoerCiaT is studenti, romelic yvelaze aqtiuri iyo da

warmarTavda diskusias. erTma damkvirvebelma aseTad A studenti miiCnia, xolo meorem _ B studenti.

qvemoT CamoTvlilTagan romeli faqtiT SeiZleba aixsnas es gansxvaveba?

(a) diskusia Seexeboda studentebisTvis aqtualur sakiTxs da amitom diskusiaSi

yvela aqtiurad iyo CarTuli

(b) A studenti iyo sadiskusio klubis xelmZRvaneli, xolo B studenti _ misi moadgile

(g) damkvirveblebi sxvadasxva mxares isxdnen da maTi mxedvelobis areSi sxvadasxva

studenti moeqca

(d) damkvirveblebi gamocdili mkvlevrebi iyvnen da isini diskusiis msvlelobis

yvela niuanss zustad aRnusxavdnen

17. mocemulia wanamZRvrebi:

• bostneuli sasargebloa janmrTelobisTvis, Tu is moyvanilia

ekobiologiuri moTxovnebis dacviT

• janmrTelobisTvis sasargeblo produqti ar Seicavs toqsikur nivTierebebs

• yvavilovani kombosto bostneulia

qvemoT CamoTvlilTagan romeli debuleba ar gamomdinareobs am wanamZRvrebidan?

(a) yvavilovani kombosto sasargebloa janmrTelobisTvis, Tu is moyvanilia

ekobiologiuri moTxovnebis dacviT

(b) Tu sakvebi produqti Seicavs toqsikur nivTierebebs, is ar aris yvavilovani

kombosto

(g) bostneuli ar Seicavs toqsikur nivTierebebs, Tu is moyvanilia

ekobiologiuri moTxovnebis dacviT

(d) janmrTelobisTvis sasargebloa mxolod is produqti, romelic ar Seicavs

toqsikur nivTierebebs

18. mocemulia: • islandiel mxatvar-marinistTa namuSevrebi ar momwons

• Cems megobrebs moswonT islandiel mxatvar-marinistTa namuSevrebi

qvemoT CamoTvlilTagan romeli gamomdinareobs am debulebebidan?

(a) zogierTi mxatvari-marinisti araa islandieli

(b) sxva JanrSi momuSave islandiel mxatvarTa namuSevrebic ar momwons

(g) zogierTi adamiani iziarebs Cems Sexedulebebs islandiel mxatvar-marinistTa

namuSevrebis Sesaxeb

(d) Cemi Sexedulebebi yovelTvis ar emTxveva sxva adamianTa Tvalsazriss

7

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

qarTuli mravalxmianobis Sinagani ganviTarebis kvali, erTi mxriv, xmaTa

saxelebSi, meore mxriv, TviT simRerebSi gvaqvs daculi. mravalxmianoba

TandaTanobiT ganviTarda harmoniuli xmaSewyobilobidan, romlis safuZveli

dabali xma unda yofiliyo. am garemoebas qarTuli samusiko terminologiac

adasturebs. Zvelad bani xmaSewyobilobas ewodeboda da is Tavdapirvelad

imdenad garkveuli xmis saxeli ar iyo, ramdenadac Sebanebis, xmis Sewyobis

gamomxatveli. magram SemdegSi bani swored dabali xmis saxelad iqca _ jer boxi

xmis sinonimi gaxda, Semdeg ki mis aRmniSvnel erTaderT terminad darCa.

qarTul samusiko terminologiaSi sami sxvadasxva saxeli gvaqvs: bani,

maRali bani da dabali bani. es terminebi rom Zvelia, Tundac iqidan Cans, rom

Zvel qarTul TxzulebebSi gvxvdeba da saqarTvelos sxvadasxva, Tanac

erTmaneTisgan sakmaod daSorebul kuTxeebSia am saxiT daculi, magaliTad,

kaxeTsa da aWaraSi. Tavdapirvelad maRal banad, savaraudod, pirveli xma iyo

miCneuli. Zvel qarTul galoba-simRerebSi, romlebSic meore, anu moZaxilad

wodebuli xma ambobs mTavar hangsa da sityvebs, pirvels, anu maRal xmas, banis

msgavsive daniSnuleba unda hqonoda.

Tavdapirvelad maRali bani marTlac pirveli xma rom iyo, amis dasabuTeba

Zveli xalxuri simRerebis analiziT SeiZleba. ganvixiloT, magaliTad, cnobili

simRera `Tebrone midis wyalzeda~. am simReras ambobs sami xma, romelTagan hangis

mTqmeli meore xmaa, moZaxili. hangis mTqmels gabmul bans aZlevs mesame xma, romlis

moZraoba erTi-ori tonis farglebs ar scildeba. es qarTul simRerebSi, Tu

Cveulebrivi ara, iSviaTi movlena mainc ar aris. yvelaze sayuradRebo am

simReraSi pirveli xmaa, romelic zedmiwevniT imasve mReris, rasac bani, mxolod

masze oqtaviT ufro maRla. am SemTxvevaSi pirveli xma arsebiTad igive bania.

amrigad, moZaxils ori xma aZlevs bans, romelTagan erTi dabali xmiT mReris,

meore ki maRali xmiT. zemoaRniSnuli garemoeba gvafiqrebinebs, rom hangis

mTqmelisa da mobaneTa xmebisgan Semdgari orxmianoba samxmianobad Tavdapirvelad

maRali banis gaCeniT iqca. maRali bani moZaxilze ufro wvrili xmiT mReroda,

magram jer mxolod banis simReras imeorebda.

rac Seexeba sakravier (instrumentul) musikas, is Tavdapirvelad mxolod

xmis Sesawyobad unda yofiliyo gankuTvnili da, Sesabamisad, aq pirvelad banis,

anu boxi xmis gamomcemi Zali* unda gaCeniliyo. ganviTarebis momdevno safexurad

hangis dasakravad gankuTvnili Zalis darTva unda miviCnioT. Tu imasac

gavixsenebT, rom xmis asayoleblad gankuTvnil erT-erT simebian sakravs (Cangs)

qarTulad uZveles xanaSi ebani ewodeboda, xmis Sewyobis aRmniSvneli sityvisa da

xmis Sesawyobi sakravis saxelis monaTesaveobis azri TavisTavad daibadeba.

miuxedavad imisa, rom qarTul simReraSi xmaTa Sewyobis CamoyalibebisTvis

sakravs didi mniSvneloba hqonda, qarTuli mravalxmianobisTvis gadamwyveti mainc

banis gaCena da misi gaoreba unda yofiliyo. banis gaorebis process, romelmac

maRali bani da mesame xma warmoSva, mxolod xmieri musikis wiaRSi SeiZleboda

hqonoda dasabami.

*Zali _ simi.

8

19. bani:

(a) qarTuli simReris mravalxmianobis pirvel safexurze dabali xmis saxeli iyo,

Semdeg ki xmis Sewyobis gamomxatveli termini gaxda

(b) rogorc Tavdapirveli, aseve, gviandeli mniSvnelobiT qarTuli simReris

mravalxmianobas ukavSirdeba, terminis funqcia ki bolo periodSi SeiZina

(g) qarTuli simReris mravalxmianobis ganviTarebamde boxi xmis sinonimi iyo,

xolo rogorc termini, xmis Sewyobas aRniSnavs

(d) rogorc qarTuli samusiko termini, garkveuli xmis saxeli ar iyo, yovelTvis

xmis Sewyobas gamoxatavda

20. qvemoT CamoTvlilTagan romlis safuZvelze unda vivaraudoT, rom qarTul mravalxmianobas win uZRoda erTxmiani simRera?

(a) qarTul simReraSi bani meoradia, sxva xmazea damokidebuli, kerZod, maRal

banze _ pirvel xmaze, romelic mTavar hangs ambobs

(b) harmoniuli xmaSewyobiloba TandaTanobiT ganviTarda, risi safuZvelic

dabali xma _ bani _ unda yofiliyo. Sesabamisad, erTxmian simReraSi

melodiac mas mihyavda

(g) xmier musikaSi Tavdapirvelad mTavari hangisa da sityvebis mTqmeli unda

yofiliyo is, vinc moZaxils ambobs. ramdenadac bani xmaSewyobilobas

ewodeboda, is ukve TavisTavad gulisxmobda xmis Sesawyobis arsebobas

(d) xalxur simRerebSi pirvels, anu maRal xmas, yovelTvis gabmuli banis msgavsi

daniSnuleba ar hqonda, zogjer mTavar hangsa da sityvebsac ambobda

21. Zveli xalxuri simReris (`Tebrone midis wyalzeda~) ganxilvis safuZvelze SeiZleba davaskvnaT, rom am simReraSi:

(a) hangis mTqmelia meore xma _ moZaxili, rac qarTul simReraSi Cveulebrivi

movlena araa

(b) moZaxilisa da banis moZraoba erTi-ori tonis farglebs ar scildeba, rac

iSviaTi movlena ar aris

(g) yvelaze sayuradRebo pirveli xmaa, radgan is imave tonalobaSi mReris

romelSic _ bani

(d) moZaxils ori xma aZlevs bans _ pirveli da mesame, amasTan, pirveli xma banis

melodias mReris

9

22. erTi raWveli momRerlis TqmiT, `ferxuls iwyebs meore xma, mas mohyveba maRali da banio~. CamoTvlilTagan romeli mosazrebis argumentad SeiZleba

gamoviyenoT es cnoba?

(a) raWul kilos pirveli xmis Zveli saxeli hqonia daculi, mxolod im

gansxvavebiT, rom am termins mere sityva `bani~ Camoscilebia

(b) simReraSi `Tebrone midis wyalzeda~ samive xma Tanabradaa ganawilebuli,

rasac ver vityviT raWul ferxulze, romelsac meore xma iwyebs

(g) qarTul samusiko terminologiaSi daculi banis samive saxeli zustad

erTnairi saxiT gvxvdeba saqarTvelos erTmaneTisgan daSorebul kuTxeebSi:

kaxeTSi, aWarasa da raWaSi

(d) raWuli ferxuli simReris TanxlebiT sruldeba, romelSic pirveli xma

arsebiTad imave banis hangs mReris, mxolod masze oqtaviT ufro maRla

23. ra mimarTebaa qarTul xmiersa da sakravier musikas Soris (mravalxmianobis ganviTarebis TvalsazrisiT)?

(a) instrumentul musikaSi erT-erTi sakravis saxelsa da xalxur simReraSi erT-

erTi xmis saxels monaTesave fuZeebi aqvT, rac imas migvaniSnebs, rom simReraSi

banis gaCenam ganapiroba simebian sakravebSi banis gamomcemi Zalis darTva

(b) sakravier musikas mravalxmianobis ganviTarebis procesSi didi mniSvneloba

hqonda _ hangisTvis gankuTvnili simis gaCenas banis gaoreba mohyva, rasac

xmieri musikis wiaRSi unda hqonoda dasabami

(g) orxmianoba samxmianobad iqca maRali banis gaCeniT, Sesabamisad, qarTul

simReraSi mravalxmianoba instrumentuli musikis paralelurad ganviTarda

(d) xmier musikaSi bani hangis mTqmelis Semdeg gaCnda, sakravier musikaSi ki banis

gamomcemi Zali iyo sawyisi safexuri, radgan mas pirvelad akompanirebis

daniSnuleba hqonda

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24. qvemoT mocemulia qarTuli musikis mkvlevarTa ramdenime gamonaTqvami:

I _ d. arayiSvili: `qarTul simReraSi meore xma damoukidebel rols asrulebs,

rac ganasxvavebs mas evropuli musikis principisgan, romelsac xmaTa

Tanabaruflebiani ganawileba axasiaTebs~

II _ z. nadeli: `pirvel xmas qarTulad ewodeba damwyebi, xolo meores _

moZaxili. miuxedavad amisa, qarTul xalxur simRerebSi meore xmaa hangis mTavari

mTqmeli~

III _ iv. javaxiSvili: `saqarTvelosa da im qveynebs Soris, romelTagan CvenSi

mravalxmianobis SeTvisebaa sagulvebeli, erTxmiani simReris mqone erebis vrceli

miwawyalia, rac gavlenis arsebobas saeWvos xdis~

IV _ iv. javaxiSvili: `akompanements, Sexmoba-ayolebas bani ewodeba,

akompanementisa da damRerebisaTvis gankuTvnil sakravs ki _ ebani, romelic Cangis

sinonimad gvevlineba. Zneli dasajerebelia, rom aq mxolod bgeriTi msgavseba

iyos~

maTgan romeli ar Seicavs teqstisgan gansxvavebul informacias?

(a) I

(b) II

(g) III

(d) IV

25. III abzacis garda, romel abzacSi Cans qarTuli polifoniis ganviTarebis safexurebi?

(a) I abzacSi, romelSic gadmocemulia qarTul simRerasTan dakavSirebuli erT-

erTi sakvanZo terminis istoria

(b) II abzacSi, romelSic ganxilulia qarTuli simReris sami xmis saxeli, Tumca,

saubaria mxolod pirvel safexurze, roca erTxmianoba orxmianobad iqca

(g) IV abzacSi, romelSic xazgasmulia instrumentuli musikis roli polifoniis

ganviTarebaSi da akompanirebisTvis gankuTvnili simebis gaCenis mimdevroba

(d) V abzacSi, romelSic dazustebulia musikis konkretuli sfero, sadac unda

dawyebuliyo banis gaorebis procesi, rac arsebiTi faqtori aRmoCnda

samxmiani qarTuli simReris formirebisTvis

11

analogiebi

am saxis davalebebSi mocemulia muqi SriftiT gamokveTili ori sityva,

romelTa mniSvnelobebs Soris arsebobs garkveuli mimarTeba. maT gaswvriv

mocemulia sityva, romelsac savaraudo pasuxebidan unda SeusabamoT erT-erTi

varianti, ise, rom miRebul wyvilSi sityvaTa mniSvnelobebs Soris mimarTeba

gamuqebul sityvaTa urTierTmimarTebis msgavsi (analogiuri) iyos. pasuxis

arCevisas gaiTvaliswineT wyvilebSi sityvaTa Tanmimdevroba.

26. miamiti : undobloba ulmobeli :

(a) simamace

(b) mzakvroba

(g) mtroba

(d) TanagrZnoba

27. cxeni : poni nawarmoebi :

(a) fabula

(b) abzaci

(g) miniatura

(d) graviura

28. iumori : damcinavi xotba :

(a) mliqvneli

(b) TvalTmaqci

(g) mexotbe

(d) alersiani

29. viqtorina : pasuxis gacema konsultacia :

(a) gasaubreba

(b) rCeva-darigeba

(g) axsna-ganmarteba

(d) daxmareba

30. ambiciuri : amayi idiliuri :

(a) uSfoTveli

(b) emociuri

(g) dramatuli

(d) sasiamovno

31. meTodi : analizi ceremonia:

(a) koronacia

(b) maskaradi

(g) prezentacia

(d) iubile

12

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.

32. Cven ver vitanT _____ . Tu raime _____ aRmosavluri kulturidan,

pirvel rigSi, `siWrelis~ kultia. _____ veguebiT. _____ cxovrebaSi, rogorc

azrovnebasa da mxatvrul SemoqmedebaSi.

(a) monotonurobas / SeviwynareT / Tumca, erTferovnebasac / `siWrele~ iseve

gamaRizianebelia

(b) monotonurobas / SeviwynareT / samagierod, erTferovnebasac ver /

monotonuroba iseve gvixuTavs suls

(g) `siWreles~ / ver miviReT / magram verc erTferovnebas / monotonuroba iseve

gvixuTavs suls

(d) `siWreles~ / ver miviReT / miuxedavad amisa, erTferovnebas / `siWrele~ iseve

gamaRizianebelia

33. xSirad silamazes veZebT iq, sadac misi arseboba araa aucilebeli. freskaze _____ silamaze, _____ . freskis mxatvris _____ , esTetikuri siamovneba

mogvgvaros. man, _____ _ freskuli mxatvroba xom sulieri xelovnebaa.

(a) yovelTvis aris / is misTvis arsebiTia / mizani rodia / piriqiT, STagoneba

unda aRgviZras

(b) romc iyos / is mainc araa arsebiTi / mizani rodia / uwinares yovlisa,

STagoneba unda aRgviZras

(g) yovelTvis aris / Tumca, is araa arsebiTi / mizania / cxadia, mxolod amis

Semdeg SeiZleba aRgviZras STagoneba (d) rom iyos / is aucileblad arsebiTi iqneboda / mizania / uwinares yovlisa,

STagoneba unda aRgviZras

34. _____ mraval adamians erTsa da imave bunebriv pirobebSi uxdeba cxovreba, maTi sulieri samyaro _____ STabeWdilebebis gamo erTmaneTs _____ interesebiT

sazrdoobs. _____ , rogorc wesi, erTmaneTis Sinasamyaros wvdomis _____ .

(a) miuxedavad imisa, rom / erTi da imave / unaTesavdeba, msgavsi / es sulieri

erTianoba / safuZveli xdeba

(b) miuxedavad imisa, rom / gansxvavebuli / upirispirdeba, urTierTsawinaaRmdego

/ es sulieri dapirispireba / aucilebeli pirobaa

(g) radgan / erTi da imave / unaTesavdeba, msgavsi / es sulieri erTianoba /

safuZveli xdeba

(d) radgan / gansxvavebuli / upirispirdeba, urTierTsawinaaRmdego / es sulieri

dapirispireba / SesaZleblobas gamoricxavs

13

35. mdinare xmeleTis sxvadasxva nawils erTmaneTisgan yofs. miT ufro yofs maT zRva da amitom miCveulni varT, rom wyali gamyof faqtorad miviCnioT. _____ ,

araferi ise _____ . gamyofi mxolod _____ . magaliTad, xmelTaSua zRvam

mxolod imitom _____ antikuri samyaros centri gamxdariyo, rom _____ .

(a) Tumca / damaaxloebeli ar aris adamianebisTvis, rogorc wyali / mTianeTia /

SeZlo / igi zRva iyo

(b) Tumca / damaSorebeli ar aris adamianebisTvis, rogorc wyali / mTianeTia /

ver SeZlo / igi zRva iyo

(g) amasTan / damaaxloebeli ar aris adamianebisTvis, rogorc xmeleTi / wyalia /

SeZlo / uamrav kunZuls akavSirebda kontinentur saberZneTTan

(d) amasTan / damaSorebeli ar aris adamianebisTvis, rogorc xmeleTi / wyalia /

ver SeZlo / uamrav kunZuls akavSirebda kontinentur saberZneTTan

36. _____ qmedeba _____ zogjer _____ sferoSi gadainacvlebs _ rogorc ki esa Tu is qmedeba ganxorcieldeba, igi SeiZleba _____ iqces.

(a) eqstravaganturi, originaluri / sxvaTa mier ganmeorebisas / Cvevis / mibaZvis

sagnad

(b) Cveuli, standartuli / Sesrulebisas / yoveldRiurobis / sagangebo,

specifikur aqtivobad

(g) eqstravaganturi, originaluri / sxvaTa mier ganmeorebisas / mibaZvis /

arastandartul, uCveulo aqtivobad

(d) Cveuli, standartuli / Sesrulebisas / daswavlis / yoveldRiurobis sagnad

37. geometriuli xelovnebis (Zv. w. aR. IX_VII saukuneebi) Sefasebisas uTuod unda gaviTvaliswinoT is, rom am epoqis mxatvruli nimuSebis sqematuroba da

mkacri geometrizmi gamowveuli iyo ara mxatvris _____ , sinamdvile _____

aesaxa, aramed, zogadad, am epoqis xelovanTa mier sinamdvilis _____ , formisa

da xazis _____ SegrZnebiT.

(a) uunarobiT / sakuTari ganwyobis Sesabamisad / subieqturi aRqmiT /

obieqturi

(b) midrekilebiT / sakuTari ganwyobis Sesabamisad / realisturad aRqmiT /

subieqturi

(g) uunarobiT / ufro realisturad / Taviseburi aRqmiT / am droisaTvis

damaxasiaTebeli

(d) midrekilebiT / ufro realisturad / realisturad aRqmiT / subieqturi

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. musikis moyvarulebi jazuri musikis konkursSi gamarjvebas B musikoss uwinaswarmetyvelebdnen, magram, maT gasakvirad, konkursSi D musikosma gaimarjva. musikis moyvarulebma es faqti D-s mimarT Jiuris wevrTa mikerZoebuli damokidebulebiT axsnes.

qvemoT CamoTvlilTagan romeli ayenebs eWvqveS musikis moyvarulTa am varauds?

(a) Jiuris Tavmjdomare jazuri musikisadmi gansakuTrebuli simpaTiiT iyo

gamsWvaluli

(b) Jiuris wevrTagan bevri D-s kolega da megobari iyo (g) B gansakuTrebuli mondomebiT emzadeboda am konkursisaTvis (d) B Tavis saSemsruleblo teqnikas ukeT avlens simfoniuri musikis

nawarmoebTa Sesrulebisas

39. delfinariumSi bevri delfini hyavT. amasTan: • yvela delfini mxiarulia

• yvela delfini wyalburTelia

qvemoT CamoTvlilTagan romeli debuleba gamomdinareobs am monacemebidan?

(a) mxolod wyalburTelebi arian mxiarulebi

(b) yvela wyalburTeli mxiarulia

(g) zogierTi wyalburTeli ar aris mxiaruli

(d) arseboben mxiaruli wyalburTelebi

40. dimitri, niko da levani mwerlebi arian. erTi maTgani romanebs wers, erTi _ novelebs, erTi ki _ sonetebs. garda amisa, cnobilia, rom:

• novelists yvelaze naklebi raodenobis wigni aqvs gamocemuli, Tanac is

mxolod qarTul gamomcemlobebTan TanamSromlobs

• levanis daxmarebiT, nikos wignebi gamosces rogorc qarTulma,

aseve, ucxourma gamomcemlobebma

• levans romanistze meti raodenobis wigni aqvs gamocemuli

romeli Janris nawarmoebebs wers niko?

(a) romanebs

(b) novelebs

(g) sonetebs

(d) monacemebi sakmarisi araa pasuxis gasacemad

15

41. viqtorinis monawileebs mecnierebis sami sferodan usvamdnen SekiTxvebs.

momdevno turSi gasasvlelad monawiles am sami sferodan erTSi mainc unda

daegrovebina 25 an meti qula. momdevno turSi gavida 5 monawile.

qvemoT CamoTvlilTagan romeli viTarebaa SeuZlebeli?

(a) xuTive gamarjvebulma 25 an meti qula daagrova erTsa da imave sferoSi

(b) samma gamarjvebulma gamsvleli qula daagrova erTsa da imave sferoSi, orma

ki – sxvadasxva sferoSi

(g) erT-erTma gamarjvebulma 25 an meti qula daagrova TiToeul sferoSi

(d) yvela gamarjvebulma sxvadasxva sferoSi daagrova gamsvleli qula

42. mocemulia: • Tu molaRurs raime siamovnebs, is kargad galobs • molaRurs Zalian siamovnebs, rodesac mindvris yvavilebs xedavs

qvemoT CamoTvlilTagan romeli debuleba gamomdinareobs am wanamZRvrebidan?

(a) Tu molaRuri kargad ar galobs, is mindvris yvavilebs ver xedavs

(b) Tu molaRuri kargad galobs, is mindvris yvavilebs xedavs

(g) Tu molaRuri mindvris yvavilebs ver xedavs, kargad ver galobs

(d) Tu molaRuri kargad galobs, mas raRac siamovnebs

16

wakiTxuli teqstis gaazreba

yuradRebiT waikiTxeT da gaiazreT teqsti. TiToeuli SekiTxvis savaraudo

pasuxebidan airCieT is varianti, romelic marTebulia mocemuli teqstis mixedviT.

rogor xdeba, rom esa Tu is obieqti garkveul momentSi Cveni yuradRebis

centrSi eqceva? zogjer sakuTari miznebidan gamomdinare virCevT, Tu ras

mivaqcioT yuradReba. amas mizniT marTul SerCevas uwodeben. amis sapirispirod,

gamoyofen stimuliT gamowveul SerCevas, rodesac garemoSi arsebuli

obieqtebisa Tu movlenebis (stimulebis) maxasiaTeblebi Tavad, avtomaturad

iqcevs yuradRebas Cveni, rogorc damkvirveblis, miznebisgan damoukideblad. Tu

adamiani, romelic quCis gadakveTas apirebs, SuqniSanTan wiTelze SeCerdeba da

Cafiqrdeba, SuqniSnis moulodneli cvlileba _ mwvane Suqi _ gansakuTrebuli

koncentraciis gareSec miiqcevs mis yuradRebas.

imis gasarkvevad, yuradRebis warmarTvaze mizniT marTuli SerCeva axdens met

zegavlenas, Tu _ stimuliT gamowveuli, Caatares eqsperimentebi. pirveli

eqsperimentis dasawyisSi cdispirebs ekranze uCvenebdnen 6 nacrisfer wres,

TiToeulSi cifri 8 iyo Cawerili. erTi wamis Semdeg ekranze gamosaxuleba

icvleboda: erTis garda, yvela wre ukve wiTeli iyo. cdispirs moeTxoveboda,

erTi wamis ganmavlobaSi dakvirveboda nacrisfer wres da eTqva, masSi metobis

(>) niSani iyo Cawerili, Tu _ naklebobis (<). am amocanis Sesrulebisas

cdispirebi ganzrax mimarTavdnen yuradRebas nacrisfer wreze.

meore eqsperimentSi 6 nacrisferi wrisgan Semdgar mwkrivs erTi wamis Semdeg

axali elementi _ wiTeli wre _ emateboda. pirveli eqsperimentisgan gansxvavebiT,

sadac wiTeli wreebi erTgvar fons qmnida nacrisferi wrisTvis, am SemTxvevaSi

erTaderTi wiTeli obieqti iseT stimulad gvevlineba, romelic, Cveulebriv,

avtomaturad iqcevs yuradRebas. miuxedavad imisa, rom am eqsperimentSi

cdispirebs moeTxovebodaT, dakvirvebodnen erT-erT nacrisfer wres da eTqvaT,

masSi metobis (>) niSani iyo Cawerili, Tu _ naklebobis (<), umetes SemTxvevaSi

axali obieqti uneblieT ipyrobda cdispirTa yuradRebas. monawileebi ukeT

Seasrulebdnen amocanas, Tu yuradRebas ar miaqcevdnen wiTel wres, magram maT

ar SeeZloT misi ugulebelyofa. rogorc Cans, stimuliT gamowveuli SerCeva

ara mxolod gansazRvravs yuradRebis mimarTulebas, aramed SeiZleba aRmqmelis

miznebis sapirispirodac moqmedebdes.

yuradReba aregulirebs informaciis nakadis Semosvlas cnobierebaSi.

ronald broudbenTma SeimuSava yuradRebis filtris Teoria, romlis Tanaxmad,

yuradReba amcirebs informaciis nakads, filtravs mas, ise, rom cnobierebamde

mxolod garkveuli nawili aRwevs. am Teoriis mixedviT, informaciis gafiltvra

mis gadamuSavebamde da mniSvnelobis wvdomamde xdeba.

filtris Teoriis Sesamowmeblad Catarebul eqsperimentSi monawileebs

ekeTaT yursasmenebi, romlebiTac marjvena da marcxena yurs erTdroulad

miewodeboda ori sxvadasxva Canaweri _ qalisa da mamakacis xmiT wakiTxuli

erTmarcvliani sityvebis mwkrivebi. cdispirs yuradReba unda mieqcia mxolod

marjvena yurSi miwodebuli informaciisTvis da sityvebi zedmiwevniT zustad

gaemeorebina. eqsperimentis mimdinareobis garkveul momentSi cdispirs im yurSi,

romelSi miwodebuli informaciisTvisac yuradReba ar unda mieqcia, sityvebTan

erTad, esmoda adamianis saxelebi, maT Soris Tavisi saxelic. cdispirTa mesamedma

gaigona Tavisi saxeli, xolo sxva saxelebis gageba veravin SeZlo. amrigad,

informacia, romelic, instruqciis Tanaxmad, yuradRebis miRma unda darCeniliyo,

garkveulwilad mainc gadamuSavdeba, Tumca, mxolod im SemTxvevaSi SeiZleba

miaRwios cnobierebamde, Tu raime niSniT iqneba gamorCeuli (magaliTad, Tu es

msmenelis saxelia).

17

43. teqstis I abzacSi:

(a) dasmulia sakiTxi yuradRebis warmarTvis meqanizmis Sesaxeb; gamoyofilia

yuradRebis ori forma, moyvanilia erT-erTi formis gamovlenis magaliTi

(b) dasmulia sakiTxi yuradRebis bunebis Sesaxeb; ganxilulia yuradRebis formebi

da maTi sailustracio cxovrebiseuli magaliTebi

(g) ganxilulia yuradRebis ramdenime maxasiaTebeli, miTiTebulia maTi

saxelwodeba da moyvanilia erT-erTi maTganis damadasturebeli faqti

(d) miTiTebulia yuradRebis ZiriTadi faqtorebi da formebi, mocemulia am

formaTa gamoyofis marTebulobis damadasturebeli cxovrebiseuli faqti

44. II abzacSi aRweril eqsperimentSi, erTis garda, yvela wris fers cvlidnen im mizniT, rom:

(a) gamoekvliaT, moqmedebs Tu ara feris cvalebadoba yuradRebis warmarTvis

procesze

(b) gamoekvliaT, ramdenad swrafad warmarTaven cdispirebi yuradRebas

eqsperimentatoris miTiTebis Sesabamisad

(g) SeeqmnaT optimaluri situacia stimuliT gamowveuli yuradRebis aRmoceneba-

warmarTvisTvis

(d) SeeqmnaT yuradRebis koncentraciisa da mizanmimarTulad warmarTvis

xelSemwyobi pirobebi

45. ra mimarTebaa II da III abzacebSi aRweril eqsperimentebs Soris?

(a) pirvel eqsperimentSi Seiswavleboda yuradRebis erT-erTi forma, xolo

meoreSi – orive formis yuradRebis urTierTmimarTebis sakiTxi (b) rogorc pirvel, ise meore eqsperimentSi Seiswavleboda feris roli

yuradRebis orive formis aRmoceneba-warmarTvaSi

(g) pirvel eqsperimentSi ikvlevdnen instruqciis rols mizniT marTuli

yuradRebis aRmocenebaSi, xolo meoreSi – stimuliT gamowveuli SerCevis Taviseburebebs

(d) rogorc pirvel, ise meore eqsperimentSi ikvlevdnen erTi da imave

eqsperimentuli pirobebis zegavlenas mizniT marTuli da stimuliT

gamowveuli yuradRebis aRmocenebaze

18

46. qvemoT CamoTvlilTagan romeli gamogvadgeba imis argumentad, rom

`stimuliT gamowveuli SerCeva ... SeiZleba aRmqmelis miznebis sapirispirodac

moqmedebdes~?

(a) erTaderTi wiTeli obieqti iseT stimulad gvevlineba, romelic, Cveulebriv,

avtomaturad iqcevs yuradRebas

(b) amocanis Sesrulebisas cdispirebi ganzrax mimarTavdnen yuradRebas nacrisfer

wreze (g) umetes SemTxvevaSi axali obieqti uneblieT ipyrobda cdispirTa yuradRebas (d) Tavdapirvelad mocemuli 6 nacrisferi wrisgan Semdgar mwkrivs erTi wamis

Semdeg axali elementi – wiTeli wre – emateboda

47. qvemoT CamoTvlilTagan romelia marTebuli?

(a) cdispirTa didma nawilma ver gaigona Tavisi saxeli, radgan maTi yuradReba

mizniT iyo marTuli, xolo danarCenTa yuradReba – stimuliT (b) sakuTari saxelis garda, sxva saxeli verc erTma cdispirma ver gaigona,

radgan es informacia ar iyo maTTvis mniSvnelovani

(g) cdispirTa umravlesobam, erTmarcvliani sityvebis garda, ver gaigona raime

sxva informacia, radgan miwodebul saxelebs Soris ar iyo maTi sakuTari

saxeli

(d) cdispirTa umravlesobam, erTmarcvliani sityvebis garda, ver gaigona raime

sxva informacia, radgan maT sxvadasxva yurSi sxvadasxva Canaweri miewodeboda

48. teqstis bolo abzacSi aRwerili eqsperimentis Sedegebis safuZvelze ver davaskvniT, rom:

(a) yuradReba, ZiriTadad, axerxebs informaciis gafiltvras manamde, vidre is

cnobierebas miaRwevs

(b) yuradReba arasodes filtravs iseT informacias, romelic raime niSniTaa

gamorCeuli

(g) informacia, romelic, instruqciis Tanaxmad, yuradRebis miRma unda

darCeniliyo, gadamuSavdeba, magram umeteswilad cnobierebamde ver aRwevs

(d) informacia, romelic, instruqciis Tanaxmad, yuradRebis miRma unda

darCeniliyo, zogjer garkveuli faqtorebis zemoqmedebiT cnobierdeba

19

49. ra mimarTebaa teqstis IV da V abzacebs Soris?

(a) V abzacSi aRwerili eqsperimenti adasturebs IV abzacSi moyvanili Teoriis

yvela debulebas

(b) V abzacSi warmodgenili eqsperimentis Sedegebi IV abzacSi ganxiluli

Teoriis sawinaaRmdegod metyvelebs

(g) V abzacSi warmodgenili eqsperimentis Sedegebi eWvqveS ayenebs IV abzacSi

moyvanili Teoriis erT-erT debulebas

(d) V abzacSi aRwerili eqsperimenti arc ganamtkicebs da arc eWvqveS ayenebs IV

abzacSi warmodgenil Teorias

50. teqstis romel abzacebs aqvs analogiuri funqcia?

(a) mxolod I, III da V abzacebs

(b) mxolod II, III da IV abzacebs

(g) II da III abzacebs; I, IV da V abzacebs

(d) I da IV abzacebs; II, III da V abzacebs

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

51.

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

52.

tolgverda samkuTxedis perimetri kvadratis

perimetrze naklebia.

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

53. a = 3, b = –2. (a) (b) (g) (d)

54.

ricxvebis cifrul CanawerebSi zogierTi cifri

kvadratiTaa dafaruli (TiTo cifri _ TiTo

kvadratiT).

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

55.

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

31

21 −

51

41 −

kvadratis gverdis

sigrZe

tolgverda samkuTxedis

gverdis sigrZe

2a – 3b 4a + b

5 53 6 + 29

aTkuTxa piramidis

waxnagebis raodenoba

eqvskuTxa piramidis

wiboebis raodenoba

23

56.

k naturaluri ricxvia.

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

57.

toldanayofebian skalaze moniSnulia P, Q da RkunZulebis farTobTa Sesabamisi wertilebi. amasTan,

Q da R kunZulebis farTobebi naxazzea miTiTebuli.

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

58.

klebis mixedviT dalagebuli nebismieri xuTi ricxvis

mediana am ricxvebidan Sua ricxvis tolia.

mocemulia klebis mixedviT dalagebuli xuTwevriani

mimdevroba, romlis meoTxe wevri 15-ze naklebia.

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

amocanebi

59. 7 milion 600 aTasze 2 milion 500 aTasiT metia: (a) 9,1 milioni (b) 9,5 milioni (g) 9,6 milioni (d) 10,1 milioni (e) 10,6 milioni

60. sami ricxvidan pirveli xuTjer metia meoreze, xolo mesame ricxvi samjer naklebia pirveli da meore ricxvebis jamze. ramdenjer naklebia meore ricxvi

mesameze? (a) 2-jer (b) 3-jer (g) 4-jer (d) 5-jer (e) 6-jer

k4·8422 +k

710 km2 P kunZulis farTobi

am mimdevrobis mediana 15

24

61. erTnairi agurebi svetebad ise daawyves, rom TiToeul svetSi agurebis raodenoba toli iyo

(ix. naxazi). sul ramdeni aguri dauwyviaT? (a) 66 (b) 72 (g) 78 (d) 84 (e) 90

62. Tu yy 298,0

68,0

−−= , maSin 2 – y =

(a) –3 (b) –2 (g) –1 (d) 2 (e) 4

monacemTa analizi

observatoriaSi misul damTvaliereblebs mzis diskoze teleskopiT dakvirvebas

sTavazoben (Tu ca mowmendili iqneba). diagramaze texilebiT SemosazRvrulia

areebi, romlebic gviCvenebs, ivnisis romel dReebSi da romel saaTebSi SeeZloT

observatoriaSi misul damTvaliereblebs mzis diskoze dakvirveba. magaliTad,

diagramidan Cans, rom 1 ivniss mzis diskoze dakvirveba SesaZlebeli iyo mxolod 12.00 sT-dan 15.00 sT-mde.

diagramis mixedviT upasuxeT Semdeg oTx SekiTxvas:

25

63. ramdeni saaTis ganmavlobaSi SeeZloT damTvaliereblebs mzis diskoze dakvirveba 20 ivniss? (a) 5 (b) 6 (g) 7 (d) 8 (e) 9

64. CamoTvlilTagan romel dRes ar SeeZloT damTvaliereblebs mzis diskoze dakvirveba 18.00 sT-ze? (a) 3 ivniss (b) 8 ivniss (g) 18 ivniss (d) 22 ivniss (e) 27 ivniss

65. ivnisSi sul ramdeni dRe iyo iseTi, roca damTvaliereblebs mzis diskoze dakvirveba minimum 8 saaTis ganmavlobaSi SeeZloT? (a) 10 (b) 8 (g) 6 (d) 4 (e) 2

66. teleskopiT mzis diskoze dakvirveba erT saaTSi maqsimum 50 damTvalierebels SeuZlia. teleskopiT sargeblobis safasuri TiToeuli damTvaliereblisTvis

60 TeTria. maqsimum ramdeni lari SeiZleba iyos damTvalierebelTa mier gadaxdili Tanxis saerTo raodenoba 6 ivniss teleskopiT sargeblobisTvis? (a) 110 (b) 180 (g) 200 (d) 240 (e) 280

26

amocanebi

67. samgzavro TviTmfrinavi Tbilisidan talinSi mxolod samSabaTobiT dafrinavs.

CamoTvlilTagan rodis SeiZleboda

gafreniliyo TviTmfrinavi Tbilisidan

talinSi (naxazze mocemulia imave wlis

dekembris kalendari)?

(a) 9 noembers (b) 12 noembers (g) 16 noembers (d) 19 noembers (e) 21 noembers

68. M wertili ABC samkuTxedis AC gverdze mdebare iseTi wertilia, rom AM da AB monakveTebi erTmaneTis tolia. °=∠ 40A , °=∠ 25C . risi tolia MBC∠ ? (a) 65° (b) 55° (g) 50° (d) 45° (e) 35°

69. b iseTi ricxvia, rom bb 4821 −<+ . CamoTvlilTagan romlis toli

ar SeiZleba iyos b2 ? (a) 1,5 (b) 1,8 (g) 2 (d) 2,1 (e) 2,5

70. Zvelad egviptelebi erTeulebs aRniSnavdnen niSniT, aTeulebs _ niSniT,

xolo aseulebs _ niSniT. magaliTad, ricxvi 243 Zvelegvipturad ase Caiwe-reboda: . rogor Caiwereba Zvelegvipturad

jamis gamoTvliT miRebuli ricxvi?

(a)

(b)

(g)

(d)

(e)

dekemberi

orSabaTi 4 11 19 26 samSabaTi 5 12 20 27 oTxSabaTi 6 13 21 28 xuTSabaTi 7 14 22 29 paraskevi 1 8 16 23 30 SabaTi 2 9 17 24 31 kvira 3 10 18 25

27

71. klasSi 27 moswavlea. maTgan Zma hyavs 14 moswavles, da _ 16-s, xolo lia, vaJa da dito dediserTebi arian. am klasis sul ramden moswavles hyavs dac da Zmac? (a) 2 (b) 3 (g) 4 (d) 5 (e) 6

72. marTkuTxa samkuTxedidan, romlis erTi kaTetis sigrZea 5 sm, meorisa _ 7 sm, amokveTilia kvadrati, romlis gverdis sigrZea 2 sm. ramdeni kvadratuli santimetria samkuTxedis darCenili nawilis farTobi?

(a) 13,5 (b) 20 (g) 27,5 (d) 31 (e) 32,5

73. ansamblSi 5 momReralia. nika 4 wliT ufrosia sandroze, irakli 6 wliT umcrosia nikaze, sandro 8 wliT ufrosia levanze, magram 7 wliT umcrosia merabze. maTgan yvelaze umcrosi 18 wlisaa. ramdeni wlisaa sandro? (a) 23 (b) 24 (g) 25 (d) 26 (e) 27

74. Tu x, y da z erTmaneTisgan gansxvavebuli naturaluri ricxvebia,

romelTagan TiToeuli 9-ze naklebia, maSin yx

z2

5+

gamosaxulebis udidesi

mniSvnelobaa:

(a) 8 (b) 10 (g) 15 (d) 20 (e) 40

75. qvemoT mocemulTagan romeli texilis wveroTa koordinatebi SeiZleba iyos (–1; –2), (0; 0), (1; 0), (2; 2), (3; 1), (4; 4)?

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

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.

6 cal mixakSi da 1 vardSi 15 lari gadaixades.

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

77.

( )* -iT aRniSnulia frCxilebSi moTavsebuli ricxvebis jamis mniSvneloba. magaliTad,

( ) 107127;1;2 * =++= .

m, n da k _ nebismieri ricxvebia.

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

78.

marTkuTxedis farTobia 21 sm2. MNK samkuTxedis

ori wvero am marTkuTxedis didi gverdebis

Suawertilebs emTxveva, xolo mesame wvero marT-

kuTxedis mcire gverdze mdebareobs.

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

79.

ilias xelfasi 20 %-iT momatebis Sedegad a lariT gaizarda, xolo Tornikes xelfasi 25 %-iT daklebis

Sedegad 2a lariT Semcirda.

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

10 lari 4 cali mixakis Rirebuleba

( ) ( )** ;; knnm + ( )*;; knm

5 sm2MNK samkuTxedis farTobi

ilias xelfasi

momatebamde

Tornikes xelfasi

Semcirebamde

29

80.

6 saaTis ganmavlobaSi 6 erTnairi naTuris naTebisas ixarjeba 40 TeTris Rirebulebis eleqtroenergia.

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

81.

anas da sofos simaRleTa saSualo ariTmetikuli sofos

da ekas simaRleTa saSualo ariTmetikulis tolia.

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

82.

wrewiri, romlis radiusis sigrZea r, masze mdebare A da B wertilebiT dayofilia or rkalad, romelTagan

umciresis sigrZe c-s tolia. OA da OB radiusebiT Sedgenili kuTxis sididea 90°.

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

amocanebi

83. cifrebiT: 5, 6 da 7 Caweres yvela SesaZlo aTwiladi ise, rom yoveli aTwiladis Cawerisas gamoiyenes samive cifri, TiToeuli _ mxolod erTxel.

miRebuli aTwiladebidan udidesisa da umciresis jami tolia:

(a) 62,15-is (b) 73,17-is (g) 82,17-is (d) 83,7-is (e) 84,15-is

80 TeTri 9 saaTis ganmavlobaSi 9 aseTive naTuris naTebisas daxarjuli

eleqtroenergiis Rirebuleba

ekas simaRleanas da ekas

simaRleTa saSualo

1,6rc

30

84. Tu x-is naxevari y-is 25%-iT aRemateba y-s, maSin =− yx

(a) 1,25y (b) 1,5y (g) 1,75y (d) 2y (e) 2,25y

85. marim akvarelis saRebavebiT daxata portreti, naturmorti da peizaJi.

Semdeg samive Janris TiTo naxati zeTis saRebavebiTac Seasrula. mas SesTavazes,

rom gamofenaze gamoetana samive Janris TiTo naxati, oRond am naxatebidan ori

mainc unda yofiliyo zeTis saRebavebiT Sesrulebuli. naxatebis SerCevis ramdeni

varianti aqvs mas? (a) 2 (b) 3 (g) 4 (d) 5 (e) 6

86. daxlze mxolod vaSli, msxali da atami awyvia. vaSlis wona am xilis saerTo wonis 8

3 nawilia, msxlis wona _ 2

1 nawili, atmis wona ki msxlis wonaze

12 kg-iT naklebia. sul ramdeni kilogrami atami awyvia daxlze? (a) 4 (b) 6 (g) 8 (d) 10 (e) 12

monacemTa analizi

wriul diagramaze mocemulia, 2006 wels saqarTvelos sastumroebSi daregistrirebul

stumarTa saerTo raodenobis ramdeni procenti

iyo saqarTvelodan, da ramdeni _ evrokavSiridan,

ukrainidan Tu sxva qveynebidan. cxrilSi ki

mocemulia, 2005 da 2006 wlebSi saqarTvelos sastumroebSi daregistrirebul stumarTagan

ramdeni aTasi iyo saqarTvelodan da ukrainidan, da

ra iyo maTi sastumroSi gaCerebis mTavari mizezi

(dasveneba, saqmiani kontaqtebis damyareba Tu sxva).

dasveneba saqmiani kontaqtebi sxva mizezi

saqarTvelo ukraina saqarTvelo ukraina saqarTvelo ukraina

2005 w. 26 3,6 31 10 32 1,4 2006 w. 36 5,8 48 16 42 6,2

31

diagramisa da cxrilis mixedviT upasuxeT Semdeg oTx SekiTxvas:

87. ramdenjer naklebi iyo 2006 wels saqarTvelos sastumroebSi

daregistrirebul ukrainidan Camosul stumarTa raodenoba evrokavSiridan

Camosul stumarTa raodenobaze? (a) 1,2-jer (b) 1,4-jer (g) 1,5-jer (d) 1,6-jer (e) 1,8-jer

88. ramdeni aTasi saqarTvelos moqalaqe daregistrirebula saqarTvelos

sastumroebSi 2005 wels? (a) 51 (b) 63 (g) 82 (d) 89 (e) 92

89. ramdeni procentiT meti iyo 2006 wels ukrainidan saqmiani kontaqtebis

damyarebis mizniT Camosul da sastumroebSi daregistrirebul stumarTa

raodenoba 2005 welTan SedarebiT? (a) 10%-iT

(b) 25%-iT

(g) 40%-iT

(d) 60%-iT

(e) 75%-iT

90. evrokavSiris qveynebidan Camosuli ramdeni aTasi stumari daregistrirebula saqarTvelos sastumroebSi 2006 wels? (a) 24 (b) 27 (g) 30 (d) 36 (e) 42

32

amocanebi

91. iseTi wiladebidan, romelTa mniSvneli 40-is tolia, ramdenia 52-ze meti,

magram 43-ze naklebi?

(a) 10 (b) 11 (g) 12 (d) 13 (e) 15

92. spilenZis madans ori sabadodan moipoveben. pirveli sabadodan mopovebuli

madnis gadamuSavebiT miRebuli spilenZis wona madnis wonis 6-7 %-ia, xolo meore sabadodan mopovebuli madnis gadamuSavebiT miRebuli spilenZisa _ 3,5-4,5%. CamoTvlilTagan romlis toli SeiZleba iyos pirveli sabadodan mopovebuli 300 tona madnis gadamuSavebiT miRebuli spilenZis wonis Sefardeba meore sabadodan

mopovebuli 200 tona madnis gadamuSavebiT miRebuli spilenZis wonasTan? (a) 1,5 (b) 1,8 (g) 2,4 (d) 3,1 (e) 4,2

93. texilis samive wvero im badis kvanZebs emTxveva, romlis TiToeuli ujredi kvadratia

(ix. naxazi). ramdenjer metia am texilis sigrZe

badis ujredis gverdis sigrZeze? (a) 13-jer (b) 13,5-jer (g) 14-jer (d) 14,5-jer (e) 15-jer

33

94. maRaziaSi wiTeli, mwvane da lurji feris kalmebi iyideba. TiToeuli wiTeli kalami 10 TeTri Rirs, mwvane _ 20 TeTri, xolo lurji _ 40 TeTri. elenem am maRaziaSi samive feris 10 kalami iyida, raSic sul 1 lari da 60 TeTri

gadaixada. ramdeni lurji kalami uyidia elenes? (a) 1 (b) 2 (g) 3 (d) 4 (e) 5

95. marilis wona xsnaris wonis 3%-s Seadgenda. xsnars Seuries sufTa wyali, romlis wona orjer naklebi iyo xsnaris wonaze. miRebuli xsnaris wonis ramdeni

procenti iqneba marilis wona? (a) 1% (b) 1,5% (g) 2% (d) 2,5% (e) 3%

96. Toki daWres 5 nawilad, Semdeg erT-erTi naWeri kvlav 5 nawilad daWres da ase gaimeores ramdenjerme. CamoTvlilTagan romlis toli ar SeiZleba iyos

miRebuli naWrebis saerTo raodenoba? (a) 25 (b) 37 (g) 45 (d) 49 (e) 51

97. sibrtyeze mocemulia sami wrewiri, romelTa radiusebis sigrZea 4 sm. am

wrewirTa centrebs Soris manZilebia 8 sm, 10 sm da 12 sm. sul ramdenia iseTi wertili, romelic am wrewirTagan romelime oris saerTo wertilia? (a) 1 (b) 2 (g) 3 (d) 4 (e) 5

34

98. samgzavro matarebeli, iseve, rogorc satvirTo matarebeli, Tanabari

siCqariT, Seferxebebis gareSe moZraobda. satvirTo matarebelma 20 wuTSi 2-jer ufro naklebi manZili gaiara, vidre samgzavro matarebelma _ 32 wuTSi.

ramdenjer aRemateba satvirTo matareblis mier 30 wuTSi gavlili manZili

samgzavro matareblis mier 10 wuTSi gavlil manZils? (a) 1,6-jer (b) 1,8-jer (g) 2-jer (d) 2,4-jer (e) 2,8-jer

99. ABCDEFK SvidkuTxedis C, E da K wveroebidan gavlebulia yvela diagonali. risi tolia am diagonalebis raodenoba? (a) 8 (b) 9 (g) 10 (d) 11 (e) 12

100. p da q iseTi naturaluri ricxvebia, rom 1913 << q da 41=− qp .

minimum risi toli SeiZleba iyos p-s q-ze gayofisas miRebuli naSTi? (a) 1 (b) 2 (g) 3 (d) 4 (e) 5