GCB{JVTNHBXTCRBQ RPFVTY LKZ CFVJCNJZNTKMYJUJ … · Лист для написания...

GCB{JVTNHBXTCRBQ "RPFVTY LKZ

CFVJCNJZNTKMYJUJ HTITYBZ

HECCRBQB/km 2014 ujlf

© Dct ghfdf cj[hfyz/ncz pf Bphfbkmcrbv wtynhjv 'rpfvtyjd b jwtyrb. Ntrcn yfcnjzotuj 'rpfvtyf bkb dslth;rb bp ytuj yt gjlkt;fn hfcghjcnhfytyb/ bkb rjgbhjdfyb/ k/,sv cgjcj,jv b c bcgjkmpjdfybtv k/,s[ chtlcnd ,tp gbcmvtyyjuj hfphtitybz yf nj cj cnjhjys Bphfbkmcrjuj wtynhf 'rpfvtyjd b jwtyrb. Nfr;t pfghtoftncz j,exfnm 'njve 'rpfvtye bkb tuj xfcnzv d jncencndbt gbcmvtyyjuj hfphtitybz yf nj cj cnjhjys Bphfbkmcrjuj wtynhf 'rpfvtyjd b jwtyrb.

1


B/km 2014 ujlf

Ckjdtcyjt vsiktybt> gbcmvtyyjt pflfybt ............................................ 2

Ckjdtcyjt vsiktybt> hfpltk gthdsq ....................................................... 4

Ckjdtcyjt vsiktybt> hfpltk dnjhjq ......................................................12

Rjkbxtcndtyyjt vsiktybt> hfpltk gthdsq ..........................................20

Rjkbxtcndtyyjt vsiktybt> hfpltk dnjhjq...........................................28

Fyukbqcrbq zpsr> hfpltk gthdsq .............................................................36

Fyukbqcrbq zpsr> hfpltk dnjhjq ..............................................................44

Лист для написания сочинения..................................................................52

Лист ответов на вопросы разделов множественного выбора ........54

Ghbvths cjxbytybq ........................................................................................55

Rk/x dthys[ jndtnjd .....................................................................................61

Dsxbcktybt ghb,kbpbntkmyjq jwtyrb pf 'rpfvty ............................62

Cjlth;fybt

Gjckt ghjdtltybz 'rpfvtyf d Bphfbkmcrjv wtynht 'rpfvtyjd b jwtyrb jceotcndkz/ncz hfpkbxyst ghjdthrb djghjcjd 'rpfvtyf. Tckb dszcyztncz> xnj jghtltktyysq djghjc yt cjjndtncndetn ghjatccbjyfkmysv cnfylfhnfv> jy yt drk/xftncz d dsxbcktybt jwtyrb. D nfrjv ckexft ghjnbd yjvthf djghjcf ,eltn yfgbcfyj% $Lfyysq djghjc yt drk/xty d dsxbcktybt jwtyrb$.

- 2 - B/km 2014 ujlf


Ckjdtcyjt vsiktybt> gbcmvtyyjt pflfybt

Ckjdtcyjt vsiktybt - gbcmvtyyjt pflfybtDhtvz yf dsgjkytybt - 35 vbyen.

Dybvfntkmyj ghjxnbnt pflfybt d hfvrt b yfgbibnt cjxbytybt yf ghtlyfpyfxtyyjv lkz 'njuj kbcnt.Nht,etvfz lkbyf cjxbytybz - gj vtymitq vtht> 25 cnhjr. Yt cktletn ds[jlbnm pf ghtltks cnhjr> j,jpyfxtyys[ yf kbcnt. Tckb ds ye;lftntcm d xthyjdbrt> bcgjkmpeqnt ghtlyfpyfxtyyjt lkz 'njuj vtcnj d 'rpfvtyfwbjyyjq ,hji/ht !xthyjdbr yt ,eltn ghjdthty@. Ds yt cvj;tnt gjkexbnm ljgjkybntkmysq kbcn lkz yfgbcfybz cjxbytybz bkb pfvtybnm dslfyysq dfv kbcn. Gbibnt njkmrj yf heccrjv zpsrt. Cnbkm dfituj cjxbytybz ljk;ty cjjndtncndjdfnm ghbyznjve d frfltvbxtcrb[ ntrcnf[ cnbk/. J,hfnbnt jcj,jt dybvfybt yf jhufybpfwb/ ntrcnf b yf ghfdbkmysq b xtnrbq zpsr bpkj;tybz.Gbibnt cjxbytybt njkmrj rfhfylfijv. Ds nfr;t vj;tnt bcgjkmpjdfnm kfcnbr.Gbibnt dfit cjxbytybt frrehfnysv b gjyznysv gjxthrjv.

Vyjubt d Bphfbkt vtxnf/n j ;bpyb d ctkmcrjq vtcnyjcnb> gjcrjkmre 'nj gjpdjkztn jnyjcbntkmyj dscjrjt rfxtcndj ;bpyb> f nfr;t gjnjve xnj jyb gjkfuf/n> xnj ;bpym d lthtdyt gjpdjkztn yf ghfrnbrt htfkbpjdfnm cjwbfkmyst b 'rjkjubxtcrbt wtyyjcnb. D yt,jkmib[ ctkmcrb[ gjctktybz[ ktuxt gjcnhjbnm j,obye> f ,kbpjcnm r ghbhjlt d ctkmcrjq vtcnyjcnb cgjcj,cndetn pf,jnt j cj[hfytybb jrhe;f/otq chtls. Dvtcnt c ntv> lheubt k/lb cxbnf/n> xnj rfr hfp ghj;bdfybt d ujhjlt gjpdjkztn kexit htfkbpjdfnm 'nb wtyyjcnb. J,obye vj;yj gjcnhjbnm b d ujhjlt> b gjvbvj 'njuj> ujhjlcrbt ;bntkb rjynfrnbhe/n c cfvsvb hfpysvb k/lmvb> b b[ cjwbfkmysq vbh yt juhfybxbdftncz kbim gjlj,ysvb bv> rfr 'nj xfcnj ,sdftn d lthtdyt. Gjvbvj 'njuj> ujhjlcrjt cnhjbntkmcndj gjpdjkztn gjctkbnm ,jkmijt xbckj k/ltq yf jnyjcbntkmyj yt,jkmijq gkjoflb b ntv cfvsv ghtljndhfoftn yfytctybt bpkbiytuj eoth,f ghbhjlt. D jnkbxbt jn 'njuj> cnhjbntkmcndj d ctkmcrjq vtcnyjcnb dtltncz yf pyfxbntkmys[ gkjoflz[ b gj'njve yfyjcbn eoth, ptktysv nthhbnjhbzv.

Rfrjq cgjcj, ;bpyb - d ujhjlt bkb d lthtdyt - gj dfitve vytyb/> kexit cgjcj,cndetn htfkbpfwbb cjwbfkmys[ b 'rjkjubxtcrb[ wtyyjcntq* J,jcyeqnt cdj/ gjpbwb/^

- 3 - B/km 2014 ujlf


Ckjdtcyjt vsiktybt> gbcmvtyyjt pflfybt

Gecnfz cnhfybwf

- 4 - B/km 2014 ujlf


Ckjdtcyjt vsiktybt> hfpltk gthdsq

Ckjdtcyjt vsiktybtD 'njv hfpltkt 20 djghjcjd.Dhtvz yf htitybt - 20 vbyen.

D 'njv hfpltkt cjlth;fncz djghjcs hfpkbxys[ nbgjd% fyfkjubb> djghjcs yf gjybvfybt b dsdjl b djghjcs gj jnhsdrfv lkz xntybz. R rf;ljve djghjce ghtlkfuftncz xtnsht dfhbfynf jndtnf. Dfv cktletn ds,hfnm yfb,jktt gjl[jlzobq lkz rf;ljuj djghjcf jndtn b erfpfnm tuj yjvth d cjjndtncnde/otv vtcnt yf kbcnt jndtnjd.

Fyfkjubb !djghjcs 1-5@

D rf;ljv djghjct lfyf gfhf dsltktyys[ ;bhysv ihbanjv ckjd. Yfqlbnt cjjnyjitybt vt;le pyfxtybzvb 'nb[ lde[ ckjd b ds,thbnt bp ghtlkj;tyys[ jndtnjd ne gfhe ckjd> cjjnyjitybt vt;le rjnjhsvb yfb,jktt gj[j;t yf yfqltyyjt Dfvb cjjnyjitybt.J,hfnbnt dybvfybt% gjhzljr ckjd d gfht bvttn pyfxtybt.

1. jlehfxbnm % j,vfyensq -

(1) jghfdlfnm % dbyjdysq (2) jnkexfnm % ,jqrjnbhetn (3) j,yf;fnm % jnrhsnsq (4) bpkfufnm % dsckeibdftn

2. ghtljcnthtuftn % jcnthtufnmcz -

(1) jltdftn % jltdfnmcz (2) dslftn % cf;fnm d n/hmve (3) ghbukfiftn % ghb[jlbnm (4) bycwtybhetn % cnfdbnm gmtce

3. ghjrfkbdfnm % ;fh -

(1) elj,hznm % ehj;fq (2) gbnm % djlf (3) ghtccjdfnm % lfdktybt (4) edkf;yznm % ce[jcnm

4. vfxnf % akjn -

(1) hexrf % gtyfk (2) geujdbwf % gtnkz (3) kfwrfy % ufhlthj, (4) rbhgbx % cntyf

5. lhfrf % elfhs -

(1) gthtgbcrf % gbcmvf (2) rjyrehtywbz % rjyrehtyns (3) hfccktljdfybt % ekbrb (4) njhu % wtys

- 5 - B/km 2014 ujlf



Djghjcs yf gjybvfybt b dsdjl !djghjcs 6-14@

Cktle/obt erfpfybz jnyjczncz r djghjcfv 6-8.D rf;ljv djghjct lfyj ghtlkj;tybt !bkb ytcrjkmrj ghtlkj;tybq@> d rjnjhjv yt [dfnftn ytcrjkmrb[ xfcntq. Pf ybv cktletn xtnsht uheggs ckjd> ljgjkyz/ob[ jncencnde/obt xfcnb. Dfv cktletn ds,hfnm yfb,jktt gjl[jlzoe/ uhegge ckjd lkz ljgjkytybz lfyyjuj ghtlkj;tybz.

6. e Cvbnf ckj;bkfcm htgenfwbz xtkjdtrf> rjnjhsq cdjt ckjdj> dtlm jy j,tofk> xnj ,jkmit yt ghbrjcytncz r cgbhnyjve> .

(1) Ytzcyj> gjxtve # lth;bn # ghjikj cjdctv ytvyjuj dhtvtyb c nt[ gjh> rfr # lj njuj vjvtynf> rfr tuj edbltkb dsgbdf/obv d ,fht

(2) Yfghfcyj # lth;bn # c njq vbyens> rjulf # jy j,[jlbk ,fh cnjhjyjq (3) Yt yfghfcyj # yt lth;bn # njn ltym> rjulf # ,sk gjcktlybv lytv> rjulf jy gjctnbk ,fh (4) Ytzcyj> gjxtve # yt lth;bn # c njuj lyz> rjulf # jy yt gthtcnfdfk gjctofnm ,fh

7. Egjhzljxtyyfz b ghfdbkmyfz cbcntvf hf,jns gjkbnbxtcrjuj herjdjlcndf > ghbybvftvst htitybz zdkz/ncz celm,jyjcysvb> htitybt .

(1) zdkztncz bltfkjv> rjnjhsq ytdjpvj;yj htfkbpjdfnm yf ghfrnbrt # b lf;t njulf> rjulf # rf;ljt # ghbybvftncz c cj,k/ltybtv ghfdbkmyjq ghjwtlehs

(2) zdkztncz afynfpbtq ntjhtnbrjd # b ghb 'njv ytdf;yj> yfcrjkmrj # b c rfrjq wtyjq cdzpfyj # jib,jxyjuj [fhfrnthf

(3) ytj,[jlbvf lkz ghfdbkmyjuj aeyrwbjybhjdfybz dkfcnb # jlyfrj rjulf # rf;ljt # ljk;yj ghbybvfnmcz c cj,k/ltybtv ghfdbkmyjq ghjwtlehs

(4) ,skf bplfdyf ghbyznf d yfitq cnhfyt # yj b njulf> rjulf # ythtlrj ckexftncz> xnj # ghbybvftncz cjukfcyj dctv yjhvfv ghfdbkmyjuj eghfdktybz

8. Ghtvmth-vbybcnh j,(zdbk xktyfv gfhkfvtynf> xnj tckb ,eltn ghbyzn pfrjy j ptvkz[> > nj jy ghtlghbvtn ifub lkz ghbyznbz pfrjyf j, bgjntxys[ ccelf[. "nj pfzdktybt dthjznyjcnm njuj> xnj htpekmnfns ujkjcjdfybz gj pfrjye j ptvkz[ ,elen jndtxfnm

;tkfybzv ghtvmth-vbybcnhf> gjcrjkmre vyjubt xktys gfhkfvtynf .

(1) ghjnbd rjnjhjuj jy djphf;ftn # evtymiftn # jgfcf/ncz yjdjuj pfrjyf j, bgjntxys[ ccelf[

(2) rjnjhsq jy gsnftncz ghjdtcnb # edtkbxbdftn # yt pfbynthtcjdfys d ghbyznbb yjdjuj pfrjyf j, bgjntxys[ ccelf[

(3) rjnjhsq jy cnfhftncz ghtljndhfnbnm # edtkbxbdftn # jlj,hz/n yjdsq pfrjy j, bgjntxys[ ccelf[

(4) rjnjhsq ghjnbdjhtxbn tuj cjwbfkmyjq ghjuhfvvt # cyb;ftn # ;tkf/n ghjldb;tybz yjdjuj pfrjyf j, bgjntxys[ ccelf[

- 6 - B/km 2014 ujlf



9. Bpdtcnyj> xnj tcnm k/lb> rjnjhst cnfhit Yflb.

Yb;t ghbdtltys ldf endth;ltybz% F. Yflz dsit hjcnjv rf;ljuj> rnj cnfhit tt. <. Yflz cnfhit rf;ljuj> rnj yb;t tt hjcnjv.

Rfrjt bp cktle/ob[ gjkj;tybq zdkztncz dthysv d jnyjitybb 'nb[ endth;ltybq*

(1) Bp endth;ltybz F ytghtvtyyj dsntrftn endth;ltybt <. (2) Bp endth;ltybz < ytghtvtyyj dsntrftn endth;ltybt F. (3) Lfyyst endth;ltybz ghjnbdjhtxfn lheu lheue. (4) Lfyyst endth;ltybz hfdyjpyfxys lheu lheue.

10. D yfxfkt ujlf ghjatccjh Rj'y j,(zdbk> xnj d jnkbxbt jn ghtlsleob[ ktn rehc `Cjwbfkmyst ntjhbb$ ,eltn kturbv. Jlyfrj r tuj elbdktyb/ chtlyzz jwtyrf pf bnjujdsq 'rpfvty gj 'njve rehce yt ,skf ,jktt dscjrjq> xtv d ghtlsleobt ujls. Dcktlcndbt 'njuj ghjatccjh ghbitk r ldev dsdjlfv%

F. Cneltyns> exfcndjdfdibt d rehct d 'njv ujle> zdkz/ncz vtytt cgjcj,ysvb> xtv cneltyns> exfcndjdfdibt d ytv hfymit.

<. Ehjdtym cneltynjd eybdthcbntnf> d rjnjhjv jy ghtgjlftn> cybpbkcz.

Rfrjq bp cktle/ob[ afrnjd vj;tn gjlrhtgbnm dsdjl F> yt gjlrhtgkzz dsdjlf <*

(1) Cneltyns crkjyys ghtyt,ht;bntkmyj jnyjcbnmcz r cdjbv pfyznbzv gj gjlujnjdrt r 'rpfvtye> tckb rehc ghtlcnfdkztncz bv ckbirjv kturbv.

(2) D 'njv ujle j,ofz chtlyzz jwtyrf gj dctv rehcfv d eybdthcbntnt ,skf yb;t> xtv d ghtlsleobt ujls.

(3) Ytcvjnhz yf pfzdktybt ghjatccjhf Rj'yf> j,(zcytybz> rjnjhst jy lfdfk d felbnjhbb> ,skb cnjkm ;t ckj;ysvb lkz gjybvfybz> xnj b d ghjikjv.

(4) Tckb rehc cxbnftncz kturbv> nj yf ytuj pfgbcsdftncz vyjuj ckf,s[ cneltynjd.

- 7 - B/km 2014 ujlf



11. Lfys ldf endth;ltybz d jnyjitybb extybrjd irjks `Gjktdst wdtns$% F. D nhtnmtv rkfcct ytn extybrjd> rjnjhst yt evt/n xbnfnm. <. Njkmrj d gthdjv rkfcct yt dct extybrb evt/n xbnfnm.

Rfrjt bp cktle/ob[ ghtlkj;tybq zdkztncz dthysv*

(1) Tckb tcnm ht,tyjr> ceotcndjdfybt rjnjhjuj jghjdthuftn endth;ltybt F> nj tuj ceotcndjdfybt ytghtvtyyj jghjdthuftn nfr;t b endth;ltybt <.

(2) Tckb tcnm ht,tyjr> ceotcndjdfybt rjnjhjuj jghjdthuftn endth;ltybt <> nj tuj ceotcndjdfybt ytghtvtyyj jghjdthuftn nfr;t b endth;ltybt F.

(3) Yt vj;tn ,snm> xnj tcnm ht,tyjr> ceotcndjdfybt rjnjhjuj yt jghjdthuftn gj vtymitq vtht jlyj bp 'nb[ endth;ltybq.

(4) Yt vj;tn ,snm> xnj tcnm ht,tyjr> ceotcndjdfybt rjnjhjuj jghjdthuftn j,f 'nb endth;ltybz dvtcnt.

12. Abkjcja Vfqrk Djkwth endth;lftn> xnj tckb xktys jghtltktyyjq uheggs [jnzn hfcghtltkbnm vt;le cj,jq rfrbt-kb,j ,kfuf> yfghbvth ltymub bkb ghfdf yf gjkextybt j,hfpjdfybz> cghfdtlkbdsv j,hfpjv> nj jyb ljk;ys ghblfnm 'nbv ,kfufv cvsck> j,obq lkz dct[ xktyjd uheggs. Gj tuj ckjdfv> k/lb> yt jnyjczobtcz r uheggt> yt j,zpfntkmyj cjukfcys c ntv cvsckjv> rjnjhsq ghblf/n lfyysv ,kfufv xktys uheggs. Gj'njve> gjkfuftn Djkwth> yt cktletn yfdzpsdfnm cbcntve hfcghtltktybz ,kfu> ghbyzne/ d jghtltktyyjq uheggt> k/lzv> rjnjhst yt ghbyflkt;fn r ytq.

Gjxtve> cjukfcyj Djkwthe> `yt cktletn yfdzpsdfnm cbcntve hfcghtltktybz ,kfu> ghbyzne/ d jghtltktyyjq uheggt> k/lzv> rjnjhst yt ghbyflkt;fn r ytq$*

(1) Gjnjve xnj njkmrj njn> rnj zdkztncz xktyjv jghtltktyyjq uheggs> pfcke;bdftn> xnj,s r ytve ghbvtyzkbcm ghbywbgs cghfdtlkbdjuj hfcghtltktybz.

(2) Gjnjve xnj njn> rnj yt zdkztncz xktyjv jghtltktyyjq uheggs> yt pfcke;bdftn gjkextybz ghbyflkt;fob[ tq ,kfu.

(3) Gjnjve xnj njn> rnj yt zdkztncz xktyjv lfyyjq uheggs> vj;tn ghblfnm byjq cvsck hfcghtltkztvsv ,kfufv.

(4) Gjnjve xnj k/lb> yt jnyjczobtcz r 'njq uheggt> vjuen yfdzpfnm tq nfrjq dbl hfcghtltktybz> rjnjhsq ytghbtvktv lkz tt xktyjd.

13. Bccktljdfntkb hfpkbxf/n ldf nbgf gfvznb% 'gbpjlbxtcre/ gfvznm b ctvfynbxtcre/ gfvznm. "gbpjlbxtcrfz gfvznm - 'nj gfvznm yf ltnfkb byajhvfwbb> cdzpfyyst c kbxysvb gtht;bdfybzvb bkb rjyrhtnysvb cj,snbzvb> d [jlt rjnjhs[ ,skf gjkextyf lfyyfz byajhvfwbz. Gj'njve> lkz njuj xnj,s bpdktxm bp gfvznb 'nb ltnfkb> ytj,[jlbvj dcgjvybnm gtht;bdfybt bkb cj,snbt> c rjnjhsv jyb cdzpfys. D jnkbxbt jn ytt> ctvfynbxtcrfz gfvznm - 'nj gfvznm j, byajhvfwbb> rjnjhe/ xtkjdtr pfgjvbyftn gjckt vyjujrhfnys[ rjynfrnjd c ytq d hfpkbxys[ rjyntrcnf[. Gj'njve lkz bpdktxtybz byajhvfwbb bp ctvfynbxtcrjq gfvznb ytn ytj,[jlbvjcnb dcgjvbyfnm rjyntrcn> d rjnjhjv jyf ,skf gjkextyf.

Jnyjcbntkmyj rfrjuj bp cktle/ob[ djghjcjd vs vj;tv c yfb,jkmitq ljktq dthjznyjcnb pfrk/xbnm> xnj> lkz njuj xnj,s jndtnbnm yf ytuj> xtkjdtre gjnht,etncz bpdktxm byajhvfwb/ bp 'gbpjlbxtcrjq gfvznb*

(1) Rfr dfv cktletn jltnmcz lkz jabwbfkmyjuj e;byf* (2) Ult ds jcnfdbkb cdj/ vfibye yf cnjzyrt* (3) Rfr ujnjdzn ndjhj;ysq gbhju* (4) Rnj zdkztncz ghtpbltynjv cnhfys*

- 8 - B/km 2014 ujlf



14. Vepsrjdtl Yfanfkb Dfuyth% `D ldflwfnjv dtrt ghjbpjikj cyb;tybt ehjdyz f,cnhfrnyjcnb vepsrb. Djpvj;yj> xnj 'nj ljdjkmyj ytj;blfyyjt dscrfpsdfybt> gjnjve xnj ,jkmibycndj bp yfc djcghbybvftn cjdhtvtyye/ vepsre rfr zdktybt> fyfkjubxyjt cjdhtvtyyjq ;bdjgbcb$.

Rfrjt bp cktle/ob[ endth;ltybq cktletn bp ckjd Dfuythf*

(1) Cjdhtvtyyfz vepsrf ,jktt f,cnhfrnyf> xtv cjdhtvtyyfz ;bdjgbcm. (2) Cjdhtvtyyfz ;bdjgbcm ,jktt f,cnhfrnyf> xtv ;bdjgbcm d gthbjl> ghtlitcndjdfdibq

cjdhtvtyyjq 'gj[t. (3) Bcgjkmpjdfybt vepsrfynfvb bltq bp j,kfcnb ;bdjgbcb ghbdtkj r njve> xnj vepsrf

cnfkf vtytt f,cnhfrnyjq. (4) Nhelyj chfdybdfnm cjdhtvtyye/ vepsre c cjdhtvtyyjq ;bdjgbcm/ bp-pf njuj> xnj jyb

j,kflf/n hfpkbxysvb ehjdyzvb f,cnhfrnyjcnb.

Jnhsdjr lkz xntybz !djghjcs 15-20@

Dybvfntkmyj ghjxnbnt cktle/obq jnhsdjr b jndtnmnt yf cktle/obt pf ybv djghjcs.

(1) Tot jrjkj cnf ktn yfpfl Dctktyye/ hfccvfnhbdfkb d dblt cdjtuj hjlf xfcjd> rf;ljt rjktcbrj rjnjhs[ dhfoftncz b ltqcndetn c htuekzhyjq gthbjlbxyjcnm/. Yferf ghtntyljdfkf yf njxyjt ghtlcrfpfybt ghbhjlys[ zdktybq d cjjndtncndbb c pfrjyfvb b ajhvekfvb. Tckb d [jlt bpvthtybz ghbhjlys[ zdktybq gjkexfkb ytj,sxyjt lfyyjt>

(5) ds[jlbditt pf hfvrb bpdtcnys[ ajhvek> tuj cxbnfkb jib,rjq b jghtltkzkb d rfxtcndt $ytceotcndtyyjuj$ !lheubvb ckjdfvb> lfyyjuj> rjnjhsv vj;yj ghtyt,htxm@. Gjyznbt $ytceotcndtyyjt$ dgkjnm lj ctujlyziytuj lyz hfcghjcnhfytyj d tcntcndtyys[ yferf[ b yf[jlbn dshf;tybt> d xfcnyjcnb> d $jrheuktybb$ xbctk d [jlt hfpkbxys[ dsxbcktybq. Jlyfrj tot d rjywt 19-uj dtrf extyst pfvtnbkb> xnj dsxbcktybz> jgbhf/obtcz yf

(10) ghbyznst ghfdbkf b ghtyt,htuf/obt $ytceotcndtyysvb$ afrnjhfvb> yt ufhfynbhe/n ecgtiyjuj ghjuyjpbhjdfybz% afrnjh> cxbnf/obqcz ytceotcndtyysv> vj;tn dspsdfnm htpekmnfns> yb d rjtv ckexft yt zdkz/obtcz ytceotcndtyysvb. Ghbpyfybt 'njuj afrnf kt;fkj d jcyjdt hfphf,jnrb $ntjhbb [fjcf$ !$[fjc$ yf lhtdytuhtxtcrjv zpsrt jpyfxftn ,tcgjhzljr@.

- 9 - B/km 2014 ujlf



(15) Bcnjhbz bpextybz Cjkytxyjq cbcntvs vj;tn ghjbkk/cnhbhjdfnm ukfdyst 'nfgs ajhvbhjdfybz bltq> kt;fob[ d jcyjdt ntjhbb [fjcf. Cjkytxyfz cbcntvf cjlth;bn ntkf>

nfrbt rfr gkfytns b fcnthjbls !vfktymrbt gkfytns@> rjnjhst dhfof/ncz djrheu Cjkywf> f ytrjnjhst bp yb[ - nfr;t djrheu lheub[ ntk d cbcntvt. Lkz njuj xnj,s gjyznm rfr ltqcndetn 'nf cbcntvf> d ghjikjv abpbrb dsxbckzkb jh,bns hfpkbxys[ ntk> ghbxtv

(20) rf;lfz jh,bnf dsxbckzkfcm d jnltkmyjcnb. Rf;ljt gjlj,yjt dsxbcktybt jcyjdsdfkjcm bcrk/xbntkmyj yf cbkt ghbnz;tybz> ltqcnde/otq vt;le ldevz ntkfvb% ntkjv>

ldb;eobvcz gj rheujdjq jh,bnt> b ntkjv d wtynht 'njq jh,bns. Extyst ghtyt,htufkb yf,k/ltybzvb> cdbltntkmcndjdfdibvb j ytnjxyjcnb ghjuyjpf> jlyfrj c ntxtybtv dhtvtyb dszcybkjcm> xnj d ytrjnjhs[ ckexfz[ 'nf ytnjxyjcnm yt vj;tn cxbnfnmcz

(25) ytceotcndtyyjq. Yfghbvth> extyst yt cvjukb ghtlcrfpfnm cj,snbt> d hfvrf[ rjnjhjuj fcnthjbl dsitk bp Cjkytxyjq cbcntvs - $ytegjhzljxtyyjt zdktybt$> rjnjhjt

,skj htpekmnfnjv njuj> xnj jh,bnf fcnthjblf pfdbctkf yt njkmrj jn cbks ghbnz;tybz> ltqcndjdfditq vt;le ybv b Cjkywtv> yj b jn djpltqcndbz cbks> ltqcndjdfditq vt;le ldevz 'nbvb ntkfvb b gkfytnjq ?gbnth> cfvjq ,jkmijq gkfytnjq Cjkytxyjq cbcntvs.

(30) Ckj;yst dsxbcktybz dpfbvyjuj dkbzybz gkfytn lheu yf lheuf gjkexbkb yfpdfybt $pflfxb nht[ ntk$. Hfcghjcnhfytyysq cgjcj, htitybz pflfxb nht[ ntk pfrk/xfkcz d

dsxbcktybb ght;lt dctuj jh,bns jghtltktyyjuj ntkf Cjkytxyjq cbcntvs d cjjndtncndbb c ntv> rfr 'nj ,skj ghbyznj ltkfnm hfytt. Pfntv ghbybvfkb dj dybvfybt jnrkjytybz jn jh,bns> cdzpfyyst c gjvt[fvb> rjnjhst cjplfdfkb lheubt ntkf> b dyjcbkb bpvtytybz d

(35) gthdjyfxfkmyst dsxbcktybz. Dvtcnt c ntv> lfyysq gjl[jl yt dtltn r gjybvfyb/ cgjcj,f ltqcndbz dct[ 'ktvtynjd pflfxb yf ghjnz;tybb dhtvtyb. Lf;t tckb c gjvjom/

dsxbcktybq j,yfhe;bdf/n yt,jkmijt jnrkjytybt> djpybrf/ott gjl djpltqcndbtv rfrjuj-kb,j nhtnmtuj afrnjhf> yt ghtlcnfdkztncz djpvj;ysv dsxbckbnm dct ,tcrjytxyst bpvtytybz 'njuj jnrkjytybz yf ghjnz;tybb dhtvtyb b dpfbvyst

(40) djpltqcndbz vt;le ybv b lheubvb cbkfvb d cbcntvt. Ghjwtcc edtkbxtybz jnrkjytybq c ntxtybtv dhtvtyb yfpsdf/n $wbrkjv j,hfnyjq cdzpb$. Lheujq ghbvth wbrkf j,hfnyjq

cdzpb pyfrjv yfv bp gjdctlytdyjq ;bpyb% ghb ghb,kb;tybb vbrhjajyf r lbyfvbre ckf,st ajyjdst ievs djcghbybvf/ncz vbrhjajyjv> ecbkbdf/ncz> ds[jlzn bp lbyfvbrf> f pfntv dyjdm djcghbybvf/ncz> ecbkbdf/ncz> ds[jlzn bp lbyfvbrf b nfr lfktt>

(45) dgkjnm lj jukeibntkmyjuj crht;tnf.

D 'nb[ ckexfz[ ctujlyz extyst bcgjkmpe/n gjl[jl ntjhbb [fjcf. Djcghbznbt cbcntvs d rfxtcndt [fjnbxtcrjq jpyfxftn ght;lt dctuj djcghbznbt dct[ ltqcnde/ob[ d ytq afrnjhjd rfr tlbyjuj wtkjuj b jcjpyfybt juhfybxtybq> cktle/ob[ bp xfcnbxys[ dsxbcktybq. Afrnjhs> yt ghbybvftvst dj dybvfybt> vjuen dspdfnm bpvtytybt> rjnjhjt>

(50) [jnz b zdkztncz yt,jkmibv> d ntxtybt rjhjnrjuj dhtvtyb cgjcj,yj bpvtybnm rfhnbye d wtkjv. Cntgtym ytnjxyjcnb edtkbxbdftncz> xtv ,jktt jnlfktyyjuj ,eleotuj rfcftncz

ghjuyjp> b gj'njve ghjuyjps zdkz/ncz lkz yfc ghbtvktvsv ghb,kb;tybtv kbim yf rjhjnrbt gthbjls dhtvtyb. Yfghbvth> d vtntjhjkjubb htxm bltn yt ,jktt xtv j gthbjlt d nhb lyz.

Djghjcs

15. Njn afrn> xnj `dsxbcktybz> jgbhf/obtcz yf ghbyznst ghfdbkf ... yt ufhfynbhe/n ecgtiyjuj ghjuyjpbhjdfybz$ !cnhjrb 9-11@ jpyfxftn> xnj byjulf gjlj,yst dsxbcktybz -

(1) zdkz/ncz lkbyysvb b pfgenfyysvb (2) ghjnbdjhtxfn bpdtcnysv pfrjyfv ghbhjls (3) dtlen r ghjuyjpe> rjnjhsq yt cjjndtncndetn ltqcndbntkmyjcnb (4) ckbirjv cjchtljnjxtys yf afrnjhf[> cxbnf/ob[cz ytceotcndtyysvb

- 10 - B/km 2014 ujlf



16. Cjukfcyj dnjhjve f,pfwe> gjxtve d ghjikjv abpbrfv yt elfkjcm ghtlcrfpfnm cj,snbt> d htpekmnfnt rjnjhjuj fcnthjbl dsitk bp Cjkytxyjq cbcntvs*

(1) Gjnjve xnj jyb yt dsxbckbkb cbke> ltqcnde/oe/ vt;le fcnthjbljv b Cjkywtv. (2) Gjnjve xnj jyb gjkfufkb> xnj fcnthjbl dhfoftncz djrheu Cjkywf> jlyfrj yf cfvjv

ltkt jy dhfofkcz djrheu lheujuj ntkf d Cjkytxyjq cbcntvt. (3) Gjnjve xnj jyb gjkfufkb> xnj d ldb;tybb gkfytn jncencndetn pfrjyjvthyjcnm> b jyj

zdkztncz ytegjhzljxtysv. (4) Gjnjve xnj d cdjb[ dsxbcktybz[ jyb ghbybvfkb dj dybvfybt njkmrj ntkj>

yf[jlzottcz d wtynht rheujdjq jh,bns> b ntkj> rjnjhjt ldb;tncz djrheu ytuj.

17. Dsxbcktybt jh,bns jghtltktyyjq gkfytns> dhfof/otqcz djrheu lheujq gkfytns> cjukfcyj vtnjle> egjvzyenjve d cnhjrf[ 31-35> d jnkbxbt jn tt dsxbcktybz cjukfcyj ghbyznjve hfytt vtnjle> -

(1) yt drk/xftn dsxbcktybt jh,bns rf;ljq gkfytns d jnltkmyjcnb (2) ghbybvftn dj dybvfybt djpltqcndbt lheub[ gkfytn cbcntvs (3) gjldjlbn bnju dctv dpfbvysv djpltqcndbzv gkfytn lheu yf lheuf (4) ghbybvftn dj dybvfybt ceotcndjdfybt wbrkjd j,hfnyjq cdzpb ghb ldb;tybb gkfytn

18. Ghbvth d rjywt nhtnmtuj f,pfwf ghbdjlbncz lkz njuj> xnj,s ghjbkk/cnhbhjdfnm -

(1) ghtdhfotybt cj,snbz> rjnjhjt vj;tn cxbnfnmcz ytceotcndtyysv> d pyfxbntkmyjt zdktybt

(2) htuekzhye/ gthbjlbxyjcnm (3) cgjcj,> dtleobq r ytelfxyjve ghjuyjpbhjdfyb/ (4) ytj,sxyjt cj,snbt> rjnjhjt yt gjllftncz ghjuyjpbhjdfyb/

19. Cjukfcyj jnhsdre> gjxtve ytnjxyjcnm edtkbxbdftncz> xtv ,jktt jnlfktyyjuj ,eleotuj rfcftncz ghjuyjp*

(1) Bp-pf ghjwtccf edtkbxtybz jnrkjytybq c ntxtybtv dhtvtyb. (2) Gjnjve xnj c ntxtybtv dhtvtyb cbcntvs cnfyjdzncz dct vtytt b vtytt

[fjnbxtcrbvb. (3) Gjnjve xnj vs yt cgjcj,ys jwtybnm> zdkztncz jnrkjytybt ytceotcndtyysv bkb ytn. (4) Gjnjve xnj jghtltktybt [fjcf bvttn cbke njkmrj ghb ghjuyjpbhjdfybb d

rhfnrjchjxys[ cbcntvf[.

20. Djghjc yt bcgjkmpetncz lkz dsxbcktybz jwtyrb.

- 11 - B/km 2014 ujlf



Gecnfz cnhfybwf

- 12 - B/km 2014 ujlf


Ckjdtcyjt vsiktybt> hfpltk dnjhjq

Ckjdtcyjt vsiktybtD 'njv hfpltkt 20 djghjcjd.Dhtvz yf htitybt - 20 vbyen.

D 'njv hfpltkt cjlth;fncz djghjcs hfpkbxys[ nbgjd% fyfkjubb> djghjcs yf gjybvfybt b dsdjl b djghjcs gj jnhsdrfv lkz xntybz. R rf;ljve djghjce ghtlkfuftncz xtnsht dfhbfynf jndtnf. Dfv cktletn ds,hfnm yfb,jktt gjl[jlzobq lkz rf;ljuj djghjcf jndtn b erfpfnm tuj yjvth d cjjndtncnde/otv vtcnt yf kbcnt jndtnjd.

Fyfkjubb !djghjcs 1-5@

D rf;ljv djghjct lfyf gfhf dsltktyys[ ;bhysv ihbanjv ckjd. Yfqlbnt cjjnyjitybt vt;le pyfxtybzvb 'nb[ lde[ ckjd b ds,thbnt bp ghtlkj;tyys[ jndtnjd ne gfhe ckjd> cjjnyjitybt vt;le rjnjhsvb yfb,jktt gj[j;t yf yfqltyyjt Dfvb cjjnyjitybt.J,hfnbnt dybvfybt% gjhzljr ckjd d gfht bvttn pyfxtybt.

1. ukjnjr % gbnm -

(1) cjy % cgfnm (2) rjkt,fybt % htibnm (3) rybuf % xbnfnm (4) ifu % [jlbnm

2. bpevkztncz % elbdbntkmysq -

(1) buyjhbhetn % pfvtxftn (2) pyfrjvbncz % bpdtcnty (3) ,jbncz % geuftn (4) [jxtn % pfbynthtcjdfy

3. ht;bccth % 'rhfy -

(1) gjdfh % htwtgn (2) gjdfh % nfhtkrf (3) gjdfh % cgtwbz (4) gjdfh % tljr

4. ,ke;lfnm % kf,bhbyn -

(1) hsnm % jrjg (2) d[jlbnm % pfuhf;ltybt (3) jhbtynbhjdfnmcz % rjvgfc (4) crfnsdfnmcz % crkjy

- 13 - B/km 2014 ujlf



5. gj[eltk % dtc -

(1) evbhjndjhbk % uytd (2) pfrfkbkcz % ezpdbvjcnm (3) jghfdlsdfkcz % dbyf (4) ytljevtdfk % gjybvfybt

Djghjcs yf gjybvfybt b dsdjl !djghjcs 6-14@

Cktle/obt erfpfybz jnyjczncz r djghjcfv 6-8.D rf;ljv djghjct lfyj ghtlkj;tybt !bkb ytcrjkmrj ghtlkj;tybq@> d rjnjhjv yt [dfnftn ytcrjkmrb[ xfcntq. Pf ybv cktletn xtnsht uheggs ckjd> ljgjkyz/ob[ jncencnde/obt xfcnb. Dfv cktletn ds,hfnm yfb,jktt gjl[jlzoe/ uhegge ckjd lkz ljgjkytybz lfyyjuj ghtlkj;tybz.

6. Lbhtrnjh abhvs gj htrkfvt endth;lfk> xnj vfhrtnbyujdfz rfvgfybz> ghjdtltyyfz tuj abhvjq> gjvj;tn njdfhe pfdjtdfnm ljk/ hsyrf lheujuj njdfhf> ,jktt rfxtcndtyyjuj> xtv 'njn njdfh. Tuj endth;ltybt gjckt njuj rfr j,(tv ghjlf; vj/otuj chtlcndf `<ktcr$> rfxtcndj rjnjhjuj rfxtcndf vj/otuj chtlcndf `Cytu$> dgthdst j,(tv ghjlf; `Cytuf$> htrkfvbhjdfkf tuj abhvf.

(1) gjkexbkj gjlrhtgktybt # dsit # ghtdscbk # nfr rfr dnjhjt chtlcndj (2) gjkexbkj gjlrhtgktybt # yb;t # ghtdscbk # ghbxtv gthdjt chtlcndj (3) ,skj jckf,ktyj # yb;t # ghtdpjitk # [jnz gthdjt chtlcndj (4) ,skj jckf,ktyj # dsit # jrfpfkcz vtymit> xtv # nfr rfr dnjhjt chtlcndj

7. Ghjatccjh {j[,thu gjkfuftn> xnj njn afrn> xnj yf Pfgflt tcnm vjkjlst k/lb> rjnjhs[ edktrf/n hfpkbxyst vbcnbxtcrbt ctrns> j njv> xnj pfgflyfz rekmnehf ljk;yf bpvtybnm cdjt hfwbjyfkbcnbxtcrjt vbhjdjpphtybt> j 'nb[ vjkjls[ k/ltq

> xnj dsntrftn bp 'njuj vbhjdjpphtybz.

(1) cdbltntkmcndetn yt # f # ujnjdyjcnb # ghbyznm dct nj (2) cdbltntkmcndetn # f nfr;t # ujnjdyjcnb # ghbyznm dct nj (3) cdbltntkmcndetn yt # f # ytcgjcj,yjcnb # cghfdbnmcz cj dctv ntv (4) cdbltntkmcndetn # f nfr;t # ytcgjcj,yjcnb # yt dthbnm dj dct nj

- 14 - B/km 2014 ujlf



8. E vtyz ytn cjvytybq d njv> xnj gtnbwbz> c bybwbfnbdjq rjnjhjq dscnegbk gbfybcn b rjnjhfz ghbpsdfkf djlbntkz jhrtcnhf cdjq ds[jl yf gtycb/> lbhb;the jhrtcnhf> dtlm lbhb;th ghtlgjxkf ,s> xnj,s djlbntkm dsgjkyznm cdjb aeyrwbb>

ltkftn 'nj [jhjij.

(1) jnkj;bnm # yt zdkztncz cj cnjhjys gbfybcnf gjgsnrjq eujlbnm # yt ghjljk;bk # nfr rfr jyf dscnegfkf ghjnbd hfcghjcnhfytyyjuj vytybz> d cjjndtncndbb c rjnjhsv jy

(2) ecrjhbnm # zdkztncz cj cnjhjys gbfybcnf ybxtv bysv> rfr gjgsnrjq yfytcnb elfh gj # ghjljk;bk # ytcvjnhz yf tt cjukfcbt c hfcghjcnhfytyysv vytybtv> d

cjjndtncndbb c rjnjhsv jy rfr hfp (3) ecrjhbnm # zdkztncz cj cnjhjys gbfybcnf gjgsnrjq eujlbnm # ghjljk;bk # [jnz dctv

zcyj> xnj jy yt (4) ecrjhbnm # zdkztncz cj cnjhjys gbfybcnf gjgsnrjq yfytcnb elfh gj # yt ghjljk;bk #

dcktlcndbt tt edthtyyjcnb d njv> xnj jy yt

9. Dszcybkjcm> xnj xbckj phbntktq ntktghjuhfvv cj cwtyfvb yfcbkbz dsit> xtv xbckj phbntktq ntktghjuhfvv ,tp cwty yfcbkbz. Dcktlcndbt 'njuj cgtwbfkbcn gj htrkfvt L;trcjy htibk ghtrhfnbnm ckexfqysq ds,jh ghjuhfvv> d rjnjhs[ ,elen htrkfvbhjdfnmcz tuj njdfhs. Jy htibk htrkfvbhjdfnm cdjb njdfhs njkmrj d ntktghjuhfvvf[ cj cwtyfvb yfcbkbz> yt bpvtyzz ghb 'njv j,otq ghjljk;bntkmyjcnb htrkfvs. Jlyfrj> r tuj elbdktyb/> bpvtytybt cgjcj,f htrkfvs dspdfkj evtymitybt j,(tvf ghjlf;.

Rfrjq bp cktle/ob[ afrnjd vj;tn j,(zcybnm gjcktlcndbz 'njuj bpvtytybz*

(1) Cnjbvjcnm htrkfvs d ntktghjuhfvvt dsxbckztncz d cjjndtncndbb c gjgekzhyjcnm/ lfyyjq ghjuhfvvs.

(2) Djcghbznbt yjdjq byajhvfwbb yfheiftncz dcktlcndbt ghjcvjnhf ghjuhfvv cj cwtyfvb yfcbkbz.

(3) Cjcnfd ge,kbrb> rjnjhfz cvjnhbn ghjuhfvvs cj cwtyfvb yfcbkbz> fyfkjubxty cjcnfde ge,kbrb> rjnjhfz cvjnhbn ghjuhfvvs ,tp cwty yfcbkbz.

(4) K/lb ghtlgjxbnf/n ghjcvjnh ghjuhfvv ,tp cwty yfcbkbz gj[jle pf gjregrfvb.

10. Uhbif crfpfk Fyt> xnj tuj elbdkztn> xnj Vfif gjkexftn eljdjkmcndbt jn cdjtq hf,jns> nfr rfr tt hf,jnf zdkztncz nhelyjq> f gkfnf pf ytt - ybprjq.

Fyz jndtnbkf tve% `Dczrbq uecm zdkztncz kt,tltv d ukfpf[ njuj> rnj tuj k/,bn$.

Fyz chfdybkf -

(1) eljdjkmcndbt jn hf,jns c kt,tltv (2) gkfne c k/,jdm/ (3) hf,jne Vfib c uectv (4) elbdktybt Uhbib c uectv

- 15 - B/km 2014 ujlf



11. D irjkt `?yjcnm$ t;tujlyj ghjdjlbncz cjhtdyjdfybt gj ,tue vt;le rkfccfvb. Rf;lsq rkfcc gjcskftn lkz exfcnbz d cjhtdyjdfybz[ rjvfyle bp gznb extybrjd. Exbntkmybwf abprekmnehs xfcnj ujdjhbn% `D 'njv cjhtdyjdfybb rf;lfz rjvfylf yfgjvbyftn wtgm> ghjxyjcnm rjnjhjq d njxyjcnb cjjndtncndetn ghjxyjcnb tt cfvjuj ckf,juj pdtyf$.

C extnjv 'nb[ ckjd exbntkmybws rfrjq bp cktle/ob[ dfhbfynjd cnhernehs cjhtdyjdfybz zdkztncz yfb,jktt dthjznysv*

(1) Dct exfcnybrb cnfhne/n jlyjdhtvtyyj> b gj,tlbntkmybwtq cxbnftncz gthdfz rjvfylf> dct xktys rjnjhjq ljcnbukb abybiyjq xthns pf,tuf.

(2) Dct exfcnybrb cnfhne/n jlyjdhtvtyyj> b gj,tlbntkmybwtq cxbnftncz rjvfylf njuj extybrf> rjnjhsq gthdsv ljcnbu abybiyjq xthns pf,tuf.

(3) Xktys rf;ljq rjvfyls ,tuen lheu pf lheujv d [jlt 'cnfatns> b gj,tlbntkmybwtq cxbnftncz nf rjvfylf> cevvf dhtvty pf,tujd dct[ xktyjd rjnjhjq ,eltn yfbvtymitq. (4) Ghjdjlzn gznm vfks[ cjhtdyjdfybq> d rf;ljv bp rjnjhs[ exfcndetn gj jlyjve ghtlcnfdbntk/ jn rf;ljq rjvfyls> nfrbv j,hfpjv xnj rf;lsq exfcnybr cjdthiftn pf,tu d hfvrf[ jlyjuj vfkjuj cjhtdyjdfybz. Rjvfyljq-gj,tlbntkmybwtq cxbnftncz rjvfylf> xktys rjnjhjq dsbuhfkb yfb,jkmitt xbckj vfks[ cjhtdyjdfybq.

12. D ghjwtcct cke[jdjuj djcghbznbz vjpu djcghbybvftn cbuyfks> rjnjhst gthtlftn tve cke[jdjq ythd> b ghtj,hfpetn b[ d nj> xnj vs joeoftv d rfxtcndt pderjd. Xnj dspsdftn lfyysq ghjwtcc* Rjulf pderjdfz djkyf gjgflftn d eiye/ hfrjdbye> jyf ldb;tncz lfktt> d cke[jdjq rfyfk> b dspsdftn rjkt,fybz ,fhf,fyyjq gthtgjyrb> rjnjhst ghbdjlzn r db,hfwbb cke[jds[ rjcntq. D htpekmnfnt 'njuj djpybrf/n rjkt,fybz d ;blrjcnb> hfcgjkj;tyyjq dj dyenhtyytv e[t. "nb rjkt,fybz djp,e;lf/n cke[jdjq ythd> b jy yfxbyftn gjcskfnm ythdyst cbuyfks.

Rfrfz bp cktle/ob[ c[tv cfvsv njxysv j,hfpjv jgbcsdftn ghjwtcc> rjnjhsq gjpdjkztn yfv cksifnm pderb*

(1) Eiyfz hfrjdbyf djcghbybvftn pderjde/ djkye → djkyf gtht[jlbn d cke[jdjq rfyfk → cke[jdst rjcnb db,hbhe/n b dspsdf/n db,hfwb/ ,fhf,fyyjq gthtgjyrb → djpybrf/n rjkt,fybz d ;blrjcnb> hfcgjkj;tyyjq dj dyenhtyytv e[t> → djp,e;ltybt> djpybrf/ott d cke[jdjv ythdt> gthtlftncz d vjpu (2) Djpybrftn pderjdfz djkyf → djkyf ghj[jlbn xthtp eiye/ hfrjdbye b cke[jdjq

rfyfk → djkyf dspsdftn db,hfwb/ ,fhf,fyyjq gthtgjyrb b cke[jds[ rjcntq → ;blrjcnm ghjybrftn dj dyenhtyytt e[j → cke[jdjq ythd gjcskftn ythdyst cbuyfks d vjpu

(3) Pderjdfz djkyf gjcnegftn xthtp eiye/ hfrjdbye d cke[jdjq rfyfk → ,fhf,fyyfz gthtgjyrf db,hbhetn b dspsdftn db,hfwb/ cke[jds[ rjcntq → ;blrjcnm dj dyenhtyytv e[t ldb;tncz → cke[jdjq ythd gjcskftn ythdyst cbuyfks → cbuyfks djcghbybvf/ncz vjpujv

(4) Pderjdfz djkyf gjcnegftn d cke[jdjq ythd xthtp eiye/ hfrjdbye b cke[jdjq rfyfk → cke[jdjq ythd dspsdftn db,hfwb/ ,fhf,fyyjq gthtgjyrb b cke[jds[

rjcntq → djpybrftn ldb;tybt ;blrjcnb dj dyenhtyytv e[t → vjpu djcghbybvftn 'ne djkye d rfxtcndt pderf

- 16 - B/km 2014 ujlf



13. D rybut j Chtlytdtrjdmt ujdjhbncz%

`Bpexf/obt Chtlytdrjdmt bcnjhbrb> rjnjhst ghtlgjxbnf/n xthgfnm byajhvfwb/ bp jabwbfkmys[ ljrevtynjd dcktlcndbt ytyflt;yjcnb [hjybr njuj dhtvtyb> vjuen ljgecnbnm cthmtpye/ jib,re> nfr rfr gj cdjtq ghbhjlt jabwbfkmyst ljrevtyns cgjcj,ys hfccrfpfnm jxtym ytvyjuj j hfpkbxbz[ vt;le rhfcrfvb b pderfvb d yfib lyb b rhfcrfvb b pderfvb d ne 'gj[e> b nfrbv j,hfpjv yt gjpdjkz/n yfv edbltnm dj dctq zhrjcnb rfhnbye Chtlyb[ dtrjd$.

Rfrjt bp cktle/ob[ endth;ltybq zdkztncz dthysv d jnyjitybb lfyyjuj jnhsdrf*

(1) Jib,f/ncz nt> rnj gjkfuftn> xnj chtlytdtrjdst [hjybrb vtytt yflt;ys> xtv jabwbfkmyst ljrevtyns njq 'gj[b.

(2) Chtlytdtrjdst [hjybrb yt jnhf;f/n zhrjcnb rfhnbys njq 'gj[b b hfpkbxbq vt;le ytq b yfibv dhtvtytv.

(3) Jabwbfkmyst ljrevtyns 'gj[b Chtlytdtrjdmz> ltqcndbntkmyj> ,jktt yflt;ys> xtv [hjybrb> jlyfrj jyb lf/n ytgjkye/ b ,tlye/ rfhnbye njuj dhtvtyb.

(4) Bccktljdfntkb jgbhf/ncz yf jabwbfkmyst ljrevtyns 'gj[b Chtlytdtrjdmz> nfr rfr [jnzn jckf,bnm zhrjcnm rfhnbys njq 'gj[b b kbibnm tt eybrfkmys[ xthn.

14. Gjlj,yj yfert> vbcnbrf> d jcyjdt rjnjhjq kt;fn ghjhjxtcndf bkb jpfhtybz ytvyjujxbcktyys[ bylbdbleevjd> nfr;t bcgjkmpetn hfwbjyfkmysq zpsr. Vbcnbrb> gtht;bdibt vbcnbxtcrbq jgsn> [jntkb gthtlfnm pyfybz ntv> rnj yt gtht;bk tuj> b gj'njve ljk;ys ,skb bcgjkmpjdfnm ljcnegyst gjyznbz b zpsr> nj tcnm zpsr>

gjlxbyz/obqcz ghbywbgfv kjubrb. Ytcvjnhz yf 'nj> [jnz j,f 'nb[ vbhf - vbcnbrf b yferf - bcgjkmpe/n hfwbjyfkmyjt vsiktybt b kjubre> jyb rjhtyysv j,hfpjv

jnkbxf/ncz lheu jn lheuf b j,kflf/n hfpkbxysvb `ghfdbkfvb buhs$. Gj'njve j,vty bltzvb b gjyznbzvb vt;le ybvb ytdjpvj;ty> gjlj,yj njve rfr ytdjpvj;yj buhfnm d if[vfns gj ghfdbkfv buhs d yfhls.

Rfrjt bp cktle/ob[ endth;ltybq yt cktletn bp ghbdtltyyjuj dsit jnhsdrf*

(1) Hfpkbxbz vt;le yferjq b vbcnbrjq vj;yj egjlj,bnm hfpkbxbzv vt;le yfcnjkmysvb buhfvb.

(2) Bcgjkmpjdfybt hfwbjyfkmyjuj vsiktybz b kjubrb d vbht vbcnbrb dsntrftn bp ;tkfybz bylbdbleevjd> gtht;bdib[ vbcnbxtcrbq jgsn> gthtlfnm tuj lheubv

k/lzv. (3) J,obv lkz yferb b vbcnbrb zdkztncz bcgjkmpjdfybt bvb zpsrf> jcyjdfyyjuj yf

ghbywbgf[ kjubrb. (4) C[jlcndj vt;le vbcnbrjq b yferjq pfrk/xftncz d njv> xnj d b[ jcyjdt kt;bn

bylbdblefkmysq jgsn jnltkmys[ k/ltq> rjnjhst [jnzn gjltkbnmcz bv c lheubvb k/lmvb.

- 17 - B/km 2014 ujlf



Jnhsdjr lkz xntybz !djghjcs 15-20@

Dybvfntkmyj ghjxnbnt cktle/obq jnhsdjr b jndtnmnt yf cktle/obt pf ybv djghjcs.

(1) D 1895 ujle ,skf jge,kbrjdfyf yjdfnjhcrfz rybuf ahfywepcrjuj bccktljdfntkz U/cnfdf Kt,jyf `Gcb[jkjubz vfcc$> pfkj;bdifz jcyjds yjdjq j,kfcnb bccktljdfybq>

cdzpfyyjq c gjdtltybtv vfcc. {jnz e Kt,jyf ,skb ghtlitcndtyybrb> erfpsdfdibt yf hfpkbxbz vt;le gjdtltybtv bylbdbleevjd d eprb[ cjwbfkmys[ hfvrf[ b b[

(5) gjdtltybtv ghb vfccjds[ cj,hfybz[> jlyfrj b[ ubgjntps cjjndtncndjdfkb xbcnj rhbvbyjkjubxtcrjve gjl[jle> dbltditve d vfccf[ ghbvbnbdye/ b ;tcnjre/ uhegge. Kt,jy> cj cdjtq cnjhjys> gjkexbk bpdtcnyjcnm d rfxtcndt xtkjdtrf> rjnjhsq> ytcvjnhz yf cdjq cnhf[ b jndhfotybt gthtl vfccfvb> dbltk ckj;yjcnm b[ htfrwbq> zdkz/ob[cz yt njkmrj jgfcysv jnrkjytybtv jn cjwbfkmys[ yjhv> yj b df;ysv xtkjdtxtcrbv jgsnjv>

(10) cgjcj,ysv cjltqcndjdfnm htfkbpfwbb gjpbnbdys[ bltq b wtyyjcntq.

Gj vytyb/ Kt,jyf> vfccjdjt cj,hfybt cfvj gj ct,t ghbdjlbn e k/ltq d ltqcndbt gcb[jkjubxtcrbt vt[fybpvs> dhtvtyyj jnvtyz/obt b[ cj,cndtyyjt cfvjcjpyfybt b rhbnbxtcrjt jnyjitybt r cdjtq chtlt. Bylbdbleevf gjukjoftn ytxnj dhjlt ubgyjnbxtcrjuj cjcnjzybz> gfhfkbpe/otuj tuj rjynhjkmyst vt[fybpvs b

(15) byntkktrnefkmyst cgjcj,yjcnb. Kt,jy j,(zcyzk 'nj zdktybt> gjp;t gjkexbditt yfpdfybt `ltbylbdblefkbpfwbz$> ght;lt dctuj joeotybtv vjueotcndf> rjnjhjt bcgsnsdftn bylbdbleev> jrhe;tyysq ,jkmijq uheggjq k/ltq. "nj joeotybt dscdj,j;lftn rjvgktrc fuhtccbdys[ bycnbyrnjd> rjnjhst ghb j,sxys[ j,cnjzntkmcndf[ gjlfdkz/ncz xtkjdtrjv. Ljgjkybntkmyfz ghbxbyf 'njuj zdktybz

(20) pfrk/xftncz d joeotybb fyjybvyjcnb> rjnjhjt j[dfnsdftn bylbdbleevf> jrhe;tyyjuj xtkjdtxtcrbv vjhtv> b kbiftn tuj xedcndf jndtncndtyyjcnb pf cdjb gjcnegrb. Kt,jy ghtlgjkj;bk> xnj ytcvjnhz yf bycnbyrnbdyst> kbityyst rjynhjkz ltqcndbz> rjnjhst ghj,e;lftn ghbyflkt;yjcnm r vfcct> d vfcct nfr;t pfkj;tyf crkjyyjcnm r jcnjhj;yjve rjycthdfnbpve> cdzpfyyfz c ,fpbcysv ;tkfybtv cj[hfybnm ceotcnde/ott gjkj;tybt ltk.

(25) Kt,jy yf[jlbk gjllth;re lfyyjuj ntpbcf d ;f;lt gjhzlrf> rjnjhfz yf,k/lftncz e vfcc gjckt bcrk/xbntkmys[ cj,snbq> dhjlt ,eynf.

Cjukfcyj bcnjhbre Ikjvj Pfyle> [jnz rybuf `Gcb[jkjubz vfcc$ ghtntyletn yf j,(trnbdysq b vtnjlbxtcrbq fyfkbp bhhfwbjyfkmyjuj fcgtrnf> [fhfrnthbpe/otuj gjdtltybt vfcc> pfvtnyj> xnj jyf yfgbcfyf vsckbntktv> xmt ,fpbcyjt jnyjitybt r

(30) vfccfv zdkztncz jnhbwfntkmysv. Pfyl cltkfk dsdjl j njv> xnj d cdjtv bccktljdfybb vfccjdjuj gjdtltybz Kt,jy gj cenb herjdjlcndjdfkcz cnhtvktybtv pfobnbnm rekmnehe dscituj rkfccf> r rjnjhjve jy ghbyflkt;fk> jn hfcneotuj dkbzybz `yjds[ dfhdfhjd$> ghbitlib[ bp ybpib[ rkfccjd. Tckb xbnfnm rybue Kt,jyf nfr> rfr ghtlkfuftn Pfyl> nj vj;yj dbltnm d ytq herjdjlcndj lkz kblthjd yjds[ ltvjrhfnbq> djpybrib[ d

(35) ltdznyflwfnjv dtrt> rjnjhjt byajhvbhetn b[ j ghbhjlt vfcc b ghtlkfuftn bv cgjcj,s yfghfdktybz b[ gjnht,yjcntq b ytqnhfkbpfwbb b[ dkbzybz. Bp [fhfrnthyjq lkz gjdtltybz vfcc bhhfwbjyfkmyjcnb Kt,jy ltkftn dsdjl j njv> xnj cgjcj,yjcnm herjdjlbnm vfccjq pfdbcbn jn bcgjkmpjdfybz chtlcnd> rjnjhst yt fgtkkbhe/n r xtkjdtxtcrjve hfpeve. D 'njv le[t jy endth;lftn% `Yt ckbirjv df;yj> rfrbt bltb ghtlkfuf/ncz

(40) vfccfv. Df;ytqibv afrnjhjv b[ ghtdhfotybz d ujcgjlcnde/obt bltb zdkztncz b[ ghtlcnfdktybt d cfvjq ghjcnjq ajhvt b b[ cgjcj,yjcnm jcnfdfnmcz d cjpyfybb k/ltq d rfxtcndt j,hfpjd. Ytn ytj,[jlbvjcnb> xnj,s vt;le 'nbvb `bltzvb-j,hfpfvb$ ceotcndjdfkf rfrfz-kb,j kjubxtcrfz cdzpm> fccjwbfnbdyfz bkb ytghthsdyfz... B[ vj;yj vtyznm gjlj,yj rfhnbyrfv d `djkit,yjv ajyfht$> rjnjhst tuj dkfltktw xthtletn

(45) ckexfqysv j,hfpjv> yt dkbzz rfr-kb,j yf nj> rfr 'nb rfhnbyrb djcghbybvf/ncz phbntkzvb$.

- 18 - B/km 2014 ujlf



Djghjcs 15. Cjukfcyj gthdjve f,pfwe> gjlj,yj Kt,jye> tuj ghtlitcndtyybrb nfr;t -

(1) erfpsdfkb yf hfpkbxbz vt;le gjkj;bntkmysvb cnjhjyfvb vfccjds[ cj,hfybq b b[ jnhbwfntkmysvb cnjhjyfvb

(2) pfybvfkbcm gjkj;bntkmysvb fcgtrnfvb vfccjds[ cj,hfybq (3) dbltkb ckj;yjcnm htfrwbq vfccs c njxrb phtybz rhbvbyjkjubb (4) bpexfkb gjdtltybt bylbdbleevf rfr xfcnb vfccs gj chfdytyb/ c gjdtltybtv

bylbdbleevf rfr xfcnb juhfybxtyyjq uheggs

16. Ltbylbdblefkbpfwbz - 'nj gjyznbt> jgbcsdf/ott -

(1) gjnht,yjcnm vfcc d cj[hfytybb ceotcnde/otuj gjhzlrf (2) cjcnjzybt> [fhfrnthyjt lkz bylbdbleevf d cjcnfdt vfccs (3) rjynhjkmyst vt[fybpvs bylbdbleevf d cjcnfdt vfccs (4) cjghjnbdktybt bylbdbleevf ghbyflkt;yjcnb vfcct

17. Rfrjt bp cktle/ob[ dscrfpsdfybq cdbltntkmcndetn j njv> xnj Kt,jy dbltk d htfrwbb vfcc yt njkmrj jnrkjytybt jn j,otcndtyys[ yjhv*

(1) Kt,jy ghtjljktk cdjq cnhf[ b jndhfotybt gthtl gjdtltybtv vfcc. (2) Kt,jy endth;lfk> xnj gjdtltybt bylbdbleevf> zdkz/otujcz xfcnm/ vfccs>

jnkbxftncz jn tuj gjdtltybz d lheub[ cbnefwbz[. (3) Kt,jy cnhtvbkcz pfobnbnm rekmnehe> r rjnjhjq jy ghbyflkt;fk> jn hfcneotuj

dkbzybz `yjds[ dfhdfhjd$. (4) Kt,jy erfpfk yf nj> xnj dcktlcndbt bcrk/xbntkmys[ cj,snbq> dhjlt ,eynf> d vfccf[

pfvtnyf ;f;lf gjhzlrf.

18. Gjl `chtlcndfvb$ !cnhjrf 38@ gjybvf/n -

(1) ghtlcnfdktybt bltq d ckexfqyjv gjhzlrt (2) ghtlcnfdktybt ujcgjlcnde/ob[ bltq (3) ghjcnjt b ljcnegyjt ghtlcnfdktybt bltq (4) ytghthsdyjt ghtlcnfdktybt bltq

19. Cjukfcyj jnhsdre> bcgjkmpjdfybt `'nb[ `bltq-j,hfpjd$$ !cnhjrf 42@ -

(1) dhtlbn vfccfv (2) j,hfoftn d cdj/ gjkmpe bhhfwbjyfkbpv> [fhfrnthysq lkz gjdtltybz vfcc (3) kbityj cvsckf (4) ljk;yj jceotcndkznmcz nfrbv j,hfpjv> rjnjhsq gjpdjkztn ecnfyjdbnm

ytghthsdye/ kjubxtcre/ cdzpm vt;le ybvb

20. Ikjvj Pfyl endth;lftn> xnj> gj cenb> Kt,jy -

(1) dbltk d htfrwbb vfcc pyfxbntkmysq xtkjdtxtcrbq jgsn (2) jnyjcbkcz r gjdtltyb/ vfcc ytj,(trnbdysv j,hfpjv (3) yt gjlxthrbdfk bhhfwbjyfkmyjcnm vfcc (4) ghblfdfk xhtpvthyjt pyfxtybt dkbzyb/ vfcc

- 19 - B/km 2014 ujlf



Gecnfz cnhfybwf

Rjkbxtcndtyyjt vsiktybt D 'njv hfpltkt 20 djghjcjd.Dhtvz yf htitybt - 20 vbyen.

"njn hfpltk drk/xftn djghjcs b pflfxb> lkz htitybz rjnjhs[ nht,etncz ghbvtytybt rjkbxtcndtyyjuj vsiktybz. R rf;ljve djghjce ghtlkfuf/ncz xtnsht dfhbfynf jndtnf. Cktletn ds,hfnm ghfdbkmysq dfhbfyn jndtnf b jnvtnbnm tuj yjvth d cjjndtncnde/otv vtcnt yf kbcnt jndtnjd.

J,obt pfvtxfybz

* Xthnt;b> ghbkfuftvst r ytrjnjhsv djghjcfv> ghtlyfpyfxtys lkz njuj> xnj,s gjvjxm d b[ htitybb> yj jyb yt j,zpfntkmyj yfxthxtys d cjjndtncnde/ob[ vfcinf,f[. Yt cktletn ltkfnm dsdjls j lkbyt jnhtprf> dtkbxbyt eukf b

n. l. kbim yf jcyjdfybb xthnt;tq.* Tckb kbybz> bpj,hf;tyyfz yf hbceyrt> ghtlcnfdkztncz ghzvjq> nj vj;yj ghtlgjkj;bnm> xnj jyf ltqcndbntkmyj

zdkztncz ghzvjq.* Tckb d djghjct d rfxtcndt jlyjuj bp lfyys[ ghbdtlty utjvtnhbxtcrbq nthvby !ht,hj> hflbec> gkjoflm> j,(tv b lh.@>

nj gjlhfpevtdftncz> xnj tuj pyfxtybt ,jkmit yjkz !d ghjnbdyjv ckexft ,elen lfys lheubt erfpfybz@.* Tckb d djghjct erfpfy a (a > 0)> nj bvttncz d dble gjkj;bntkmysq rjhtym a.* 0 yt zdkztncz yb gjkj;bntkmysv xbckjv> yb jnhbwfntkmysv xbckjv.* 0 zdkztncz xtnysv xbckjv. * 1 yt zdkztncz ghjcnsv xbckjv.

Ajhveks

10. Gkjoflm nhfgtwbb> lkbyf jlyjuj jcyjdfybz rjnjhjq a, f lkbyf lheujuj jcyjdfybz b b lkbyf dscjns h, hfdyf a b h

2$+] g

11. Dyenhtyybt euks vyjujeujkmybrf !n - xbckj cnjhjy vyjujeujkmybrf@% f. Cevvf dyenhtyyb[ eukjd vyjujeujkmybrf

hfdyf (180n – 360) uhflecjd. ,. D ghfdbkmyjv vyjujeujkmybrt dtkbxbyf

rf;ljuj dyenhtyytuj eukf hfdyf

n nn180 360 180 360=− −a ak k uhflecjd.

12. Rheu> jrhe;yjcnm% f. Gkjoflm rheuf hflbecjv r hfdyf πr2 (π = 3.14...)

,. Lkbyf jrhe;yjcnb hfdyf 2πrd. Gkjoflm ctrnjhf rheuf> j,hfpjdfyyjuj

wtynhfkmysv eukjv x°> hfdyf r x360

2 $π

13. Ghzvjeujkmysq gfhfkktktgbgtl> re,% f. J,(tv ghzvjeujkmyjuj gfhfkktktgbgtlf> lkbyf rjnjhjuj a, ibhbyf b b dscjnf c, hfdty a · b · c ,. Gkjoflm gjdth[yjcnb ghzvjeujkmyjuj

gfhfkktktgbgtlf hfdyf 2ab + 2bc + 2ac d. D re,t a = b = c

14. Wbkbylh% f. Gkjoflm ,jrjdjq gjdth[yjcnb wbkbylhf> hflbec jcyjdfybz rjnjhjuj hfdty r> f dscjnf h> hfdyf 2πr · h

,. Gkjoflm gjkyjq gjdth[yjcnb

wbkbylhf hfdyf 2πr2 + 2πr · h = 2πr(r + h)

d. J,(tv wbkbylhf hfdty πr 2· h

15. J,(tv rjyecf> hflbec jcyjdfybz

rjnjhjuj r> f dscjnf h> hfdty r h3$π 2

16. J,(tv gbhfvbls> gkjoflm jcyjdfybz

rjnjhjq S f dscjnf h > hfdty S h3$

a

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A

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A

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1. Ghjwtyns% a% jn x - 'nj a x100 $

2. Cntgtyb% lkz k/,juj xbckf a, yt hfdyjuj 0, b k/,s[ wtks[ n b m -

f. aa1n=−n

,. am + n = am · an

d. a ammn n

= _ i (a > 0, m > 0)

u. an · m = (an)m

3. Ajhveks cjrhfotyyjuj evyj;tybz% (a ± b)2 = a2 ± 2ab + b2

(a + b)(a – b) = a2 – b2

4. Pflfxb yf ghjqltyysq genm% crjhjcnm = hfccnjzybt dhtvz 5. Pflfxb yf vjoyjcnm% vjoyjcnm = hf,jnf

dhtvz

6. Afrnjhbfk% n! = n(n – 1)(n – 2) · ... · 2 · 1

7. Ghjgjhwbz% Tckb AD || BE || CF ,

nj DEAB

EFBC= , f nfr;t

ACAB

DFDE=

8. Nhteujkmybr% f. Gkjoflm nhteujkmybrf> lkbyf jcyjdfybz rjnjhjuj a, b lkbyf dscjns r lfyyjve jcyjdfyb/ h, hfdyf a h

2$

,. Ntjhtvf Gbafujhf% d ghzvjeujkmyjv nhteujkmybrt !nhteujkmybr ABC yf xthnt;t@ dctulf cj,k/lftncz cktle/ott ghfdbkj% AC2 = AB2 + BC2

d. D ghzvjeujkmyjv nhteujkmybrt> euks rjnjhjuj hfdys 30°, 60° b 90°, lkbyf rfntnf> kt;fotuj ghjnbd eukf d 30°> hfdyf gjkjdbyt lkbys ubgjntyeps.

9. Gkjoflm ghzvjeujkmybrf lkbyjq a b ibhbyjq b hfdyf a · b

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A

CB

hypoténuse

côté

côté


A

CB

hypotenuse

leg

leg

רוסית

A

CB

ubgjntyepfrfntn

rfntn

ספרדית

A

CB

hipotenusa

cateto

cateto

איטלקית

A

CB

ipotenusa

cateto

cateto

ba

h

r

A

CB

قائم

قائم

وتر

a

b

h

r

rx°

cba

A

h

r

B

C

D

E

F

h

a

A

CB

ניצב

ניצב

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A

CB

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côté

côté


A

CB

hypotenuse

leg

leg

רוסית

A

CB

ubgjntyepfrfntn

rfntn

ספרדית

A

CB

hipotenusa

cateto

cateto

איטלקית

A

CB

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قائم

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a

b

h

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rx°

cba

A

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ניצב

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côté

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A

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CB

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rfntn

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قائم

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B/km 2014 ujlfRjkbxtcndtyyjt vsiktybt> hfpltk gthdsq - 20 -


B/km 2014 ujlfRjkbxtcndtyyjt vsiktybt> hfpltk gthdsq

Djghjcs b pflfxb !djghjcs 1-8@

1. Fynjy rf;lsq ltym gjregftn Rfnt z,kjrb. Rf;lsq ltym rjkbxtcndj z,kjr> rjnjhst jy gjregftn> yf 3 ,jkmit> xtv rjkbxtcndj z,kjr> rjnjhsq jy regbk d ghtlsleobq ltym.

Tckb d djcrhtctymt Fynjy regbk Rfnt 6 z,kjr> nj crjkmrj z,kjr jy regbn tq d gznybwe yf njq ;t cfvjq ytltkt*

(1) 18 (2) 21 (3) 28 (4) 36

2. Lfyj% B < 0 < A

?A BA B =−+ | |

(1) 1 (2) -1 (3) A (4) A + 1

3. Pfhgkfnf Lbys d 3 hfpf ,jkmit pfhgkfns Bjcbaf.

Chtlytt pyfxtybt pfhgkfn Lbys b Bjcbaf -

(1) d 1 21 hfpf ,jkmit pfhgkfns Bjcbaf

(2) d 2 hfpf ,jkmit pfhgkfns Bjcbaf

(3) hfdyj 21 pfhgkfns Lbys

(4) hfdyj 31 pfhgkfns Lbys

4. A b B - wtkst xbckf.

AB ytghtvtyyj zdkztncz xtnysv> tckb -

(1) A b B - gjkj;bntkmyst xbckf (2) A - gjkj;bntkmyjt xbckj> f B - xtnyjt xbckj (3) A - xtnyjt xbckj> f B - gjkj;bntkmyjt xbckj (4) A - xtnyjt xbckj> f B - jnhbwfntkmyjt xbckj

- 21 -



5. Lfy wbkbylh> hflbec jcyjdfybz rjnjhjuj r> f dscjnf h. Gjdth[yjcnm 'njuj wbkbylhf hfpkj;bkb yf gkjcrjcnb> b j,hfpjdfkfcm abuehf> bpj,hf;tyyfz yf xthnt;t.

Rfrjdf gkjoflm pfrhfityyjq abuehs*

(1) rh

(2) 2πrh

(3) hr2π

(4) r h h2 2+2

_ i

6. Lfyj% x x44 32

41=−

x = ?

(1) 24 (2) 36 (3) 48 (4) 56

7. Fdnjvfn gj ghjlf;t yfgbnrjd ghbybvftn njkmrj vjytns ljcnjbycndjv d 3 uhjif> d 6 uhjitq b d 12 uhjitq.

Rfrjt rjkbxtcndj uhjitq yt vj;tn yf[jlbnmcz d rfcct fdnjvfnf gj jrjyxfybb hf,jxtuj lyz*

(1) 18 (2) 32 (3) 69 (4) 123

8. Lfyj% D - cthtlbyf cnjhjys BC.

Cjukfcyj 'njve lfyyjve b lfyysv xthnt;f>

b = ?

(1) 180 2°α β− +

(2) 90° – a

(3) 30°

(4) ytdjpvj;yj ecnfyjdbnm yf jcyjdfybb bvt/ob[cz lfyys[

5072

1112

13

14

15

1617

18192021

22

24

23

2526

r

r

B

A

F

E D H

CG

5 ס"מ

6 ס"מ3 ס"מ

B

A

F

E D H

CG

5 cm

6 cm 3 cm

B

A

F

E D H

CG

5 cv

6 cv 3 cv

B

A

F

E D H

CG

5 سم

6 سم 3 سم

α

Or ס"מ

A(0 ; 2 · a)

y

x

B (a ; -1)

O

רוסית

x

A (0 , 2 · a)

y

B (a , -1)

O

?

64°

A

E

CB D

α

Or cm

α

Or سم

α

Or cv

?

A

B O

C

α

α α

β

A

B CD

O3

O1

O2

5072

1112

13

14

15

1617

18192021

22

24

23

2526

r

r

B

A

F

E D H

CG

5 ס"מ

6 ס"מ3 ס"מ

B

A

F

E D H

CG

5 cm

6 cm 3 cm

B

A

F

E D H

CG

5 cv

6 cv 3 cv

B

A

F

E D H

CG

5 سم

6 سم 3 سم

α

Or ס"מ

A(0 ; 2 · a)

y

x

B (a ; -1)

O

רוסית

x

A (0 , 2 · a)

y

B (a , -1)

O

?

64°

A

E

CB D

α

Or cm

α

Or سم

α

Or cv

?

A

B O

C

α

α α

β

A

B CD

O3

O1

O2

- 22 -



Dsdjls bp lbfuhfvvs !djghjcs 9-12@Dybvfntkmyj hfccvjnhbnt ghbdtltyye/ lbfuhfvve b jndtnmnt yf xtnsht cktle/ob[ pf ytq djghjcf.

D cktle/otq nf,kbwt ghbdtltys lfyyst 3 rjcvbxtcrb[ rjhf,ktq% `"rcrfkbdth$> `<ktql Hfyyth$ b `Ujybc$. Lkz rf;ljuj bp rjcvbxtcrb[ rjhf,ktq erfpfys lfyyst> rfcf/obtcz b[ gjktnjd c Ptvkb r 4 hfpkbxysv pdtplfv% Fkmaf> <tnf> Ufvvf b Ltkmnf.

Yfghbvth% gjktn yf rjhf,kt `"rcrfkbdth$ r pdtplt Fkmaf ghjljk;ftncz 300 xfcjd> pf dhtvz gjktnf rjhf,km hfc[jletn 220 000 kbnhjd njgkbdf> b cnjbvjcnm gjktnf hfdyf 500 000 ljkkfhjd.

Rjhf,kmGeyrn

yfpyfxtybz

Hfccnjzybt lj geyrnf

yfpyfxtybz !d nsczxf[

rv@

Ghjljk;bntkmyjcnmgjktnf lj geyrnf

yfpyfxtybz!d xfcf[@

Xbckj xktyjd

'rbgf;f

Hfc[jl njgkbdf

!d nsczxf[ kbnhjd@

Cnjbvjcnm gjktnf !d nsczxf[

ljkkfhjd@

`"rc

rfkb

dth$

Fkmaf 700 300 5 220 500

<tnf 850 450 6 275 600

Ufvvf 900 500 6 280 700

Ltkmnf 950 550 6 305 750

`<kt

ql H

fyyt

h$ Fkmaf 700 250 4 185 650

<tnf 850 400 4 230 700

Ufvvf 900 450 5 245 750

Ltkmnf 950 500 6 260 850

`Ujy

bc$

Fkmaf 700 175 3 350 750

<tnf 850 250 6 425 850

Ufvvf 900 300 5 450 900

Ltkmnf 950 350 6 475 950

J,hfnbnt dybvfybt% ghb jndtnt yf rf;lsq djghjc yt cktletn ghbybvfnm dj dybvfybt lfyyst> ghbdtltyyst d lheub[ djghjcf[.

- 23 -



Djghjcs

9. `"rcrfkbdth$ b `<ktql Hfyyth$ dsktntkb d jlyj b nj ;t dhtvz. `"rcrfkbdth$ gjktntk r pdtplt Ltkmnf> f `<ktql Hfyyth$ gjktntk r pdtplt Fkmaf.

Rfrjdf hfpybwf vt;le dhtvtytv b[ ghb,snbz d geyrn yfpyfxtybz !d xfcf[@*

(1) 150 (2) 250 (3) 300 (4) 400

10. Rjvgfybb `Cnfh Fg$ nht,etncz gjktntnm d ldf hfpkbxys[ geyrnf yfpyfxtybz% r Fkmaf b r <tnf.

Ghb rfrjv bp cktle/ob[ dfhbfynjd j,ofz cnjbvjcnm gjktnjd ,eltn yfbvtymitq*

(1) gjktn r pdtplt Fkmaf yf `"rcrfkbdtht$ b gjktn r pdtplt <tnf yf Ùjybct$ (2) gjktn r pdtplt Fkmaf yf `"rcrfkbdtht$ b gjktn r pdtplt <tnf yf `<ktql Hfyytht$

(3) gjktn r pdtplt Fkmaf yf `<ktql Hfyytht$ b gjktn r pdtplt <tnf yf Ùjybct$ (4) gjktn r pdtplt Fkmaf yf Ùjybct$ b gjktn r pdtplt <tnf yf `<ktql Hfyytht$

11. Rfrjq rjhf,km hfc[jletn yfbvtymitt rjkbxtcndj njgkbdf ghb gjktnt r pdtplt Fkmaf> b cnjbvjcnm tuj gjktnf r 'njq pdtplt zdkztncz cfvjq ybprjq*

(1) `"rcrfkbdth$ (2) `<ktql Hfyyth$ (3) Ùjybc$ (4) nfrjuj rjhf,kz yt ceotcndetn

12. Cnjbvjcnm gjlujnjdrb jlyjuj xktyf 'rbgf;f rjcvbxtcrjuj rjhf,kz cjcnfdkztn 100 000 ljkkfhjd.

Lkz rfrjuj bp rjhf,ktq j,ofz cnjbvjcnm gjktnf r pdtplt <tnf b gjlujnjdrb xktyjd 'rbgf;f ,eltn cfvjq ybprjq*

(1) `"rcrfkbdth$ (2) `<ktql Hfyyth$ (3) Ùjybc$ (4) cnjbvjcnm lkz `"rcrfkbdthf$ b `<ktql Hfyythf$ jlbyfrjdf b zdkztncz cfvjq ybprjq

- 24 -




13. Rfrjq ghjwtyn cjcnfdkztn 41 ytrjnjhjuj xbckf jn 125% njuj ;t xbckf*

(1) 15% (2) 20% (3) 25% (4) 50%

14. ABCD b EFGH - ldt hfdyj,tlhtyyst b rjyuhe'ynyst nhfgtwbb. Ldt 'nb nhfgtwbb kt;fn lheu yf lheut nfrbv j,hfpjv> xnj j,hfpe/ncz nhfgtwbz ABGH b

nhfgtwbz EFCD !pfrhfityyfz nhfgtwbz@.

Cjukfcyj 'nbv lfyysv b lfyysv xthnt;f>

Gkjoflm pfrhfityyjq abuehs = ?

Gkjoflm nhfgtwbb ABGH

(1) 53

(2) 52

(3) 31

(4) 114

15. Lfyj% 0 < yx < 1 , y > 0

Rfrjt bp cktle/ob[ endth;ltybq ytghtvtyyj zdkztncz dthysv*

(1) x > 1 (2) y > 1 (3) y-x > 1

(4) y-x < 1

16. Yf ghbdtltyyjv xthnt;t 3 rfcf/obtcz lheu lheuf jrhe;yjcnb c wtynhfvb O1, O2 b O3 .

Lfyj% hflbec jrhe;yjcnb c wtynhjv O1 hfdty 1 cv. Hflbec jrhe;yjcnb c wtynhjv O2 hfdty 2 cv. Hflbec jrhe;yjcnb c wtynhjv O3 hfdty 3 cv. Rfrjdf gkjiflm pfrhfityyjq abuehs !d rd. cv.@*

(1) 51 π

(2) 61 π

(3) 13 π

(4) 14 π

5072

1112

13

14

15

1617

18192021

22

24

23

2526

r

r

B

A

F

E D H

CG

5 ס"מ

6 ס"מ3 ס"מ

B

A

F

E D H

CG

5 cm

6 cm 3 cm

B

A

F

E D H

CG

5 cv

6 cv 3 cv

B

A

F

E D H

CG

5 سم

6 سم 3 سم

α

Or ס"מ

A(0 ; 2 · a)

y

x

B (a ; -1)

O

רוסית

x

A (0 , 2 · a)

y

B (a , -1)

O

?

64°

A

E

CB D

α

Or cm

α

Or سم

α

Or cv

?

A

B O

C

α

α α

β

A

B CD

O3

O1

O2

5072

1112

13

14

15

1617

18192021

22

24

23

2526

r

r

B

A

F

E D H

CG

5 ס"מ

6 ס"מ3 ס"מ

B

A

F

E D H

CG

5 cm

6 cm 3 cm

B

A

F

E D H

CG

5 cv

6 cv 3 cv

B

A

F

E D H

CG

5 سم

6 سم 3 سم

α

Or ס"מ

A(0 ; 2 · a)

y

x

B (a ; -1)

O

רוסית

x

A (0 , 2 · a)

y

B (a , -1)

O

?

64°

A

E

CB D

α

Or cm

α

Or سم

α

Or cv

?

A

B O

C

α

α α

β

A

B CD

O3

O1

O2

- 25 -



17. Ltqcndbt $ ,skj pflfyj lkz rf;ls[ lde[ xbctk x b y> jnkbxys[ jn yjkz> cktle/obv j,hfpjv%

$( , )x y yx

xy

= +

a b b - xbckf> jnkbxyst jn yjkz. $($(a,b) , $(b,a)) = ?

(1) 1 (2) 2 (3) a ∙ b (4) a b2+

18. Ghjbpdjlbntkmyjcnm 3 jgsnys[ hf,jxb[ !hf,jnf/ob[ c gjcnjzyyjq b jlbyfrjdjq crjhjcnm/@ d 3 hfpf dsit ghjbpdjlbntkmyjcnb 4 yfxbyf/ob[ hf,jxb[ !hf,jnf/ob[ c gjcnjzyyjq b jlbyfrjdjq crjhjcnm/@.

Ghjbpdjlbntkmyjcnm jgsnyjuj hf,jxtuj = ?

Ghjbpdjlbntkmyjcnm yfxbyf/otuj hf,jxtuj

(1) 6

(2) 12

(3) 3

(4) 4

19. Jkmuf ghbukfcbkf r ct,t ljvjq cdjb[ gjlheu Lfye b Bhe b pfhfytt ghbujnjdkf lkz yb[ 4 gfrtnf c c/hghbpfvb% 2 gfrtnf cj ;dfxrjq b 2 gfrtnf c djpleiysvb ifhbrfvb. Lfyf ghbikf gthdjq b gjkexbkf 2 ckexfqyj ds,hfyys[ gfrtnf bp 4 gfrtnjd.

Rfrjdf dthjznyjcnm njuj> xnj jyf gjkexbkf ldf gfrtnf c djpleiysvb ifhbrfvb*

(1) 61 (2) 2

1 (3) 31 (4) 4

1

20. Yf xthnt;t O - njxrf yfxfkf rjjhlbyfn.

Lfyj% AO = BO

a = ?

(1) 1

(2) 2

(3) 2

(4) 22

5072

1112

13

14

15

1617

18192021

22

24

23

2526

r

r

B

A

F

E D H

CG

5 ס"מ

6 ס"מ3 ס"מ

B

A

F

E D H

CG

5 cm

6 cm 3 cm

B

A

F

E D H

CG

5 cv

6 cv 3 cv

B

A

F

E D H

CG

5 سم

6 سم 3 سم

α

Or ס"מ

A(0 ; 2 · a)

y

x

B (a ; -1)

O

רוסית

x

A (0 , 2 · a)

y

B (a , -1)

O

?

64°

A

E

CB D

α

Or cm

α

Or سم

α

Or cv

?

A

B O

C

α

α α

β

A

B CD

O3

O1

O2

- 26 -



Gecnfz cnhfybwf

- 27 -

Rjkbxtcndtyyjt vsiktybt D 'njv hfpltkt 20 djghjcjd.Dhtvz yf htitybt - 20 vbyen.

"njn hfpltk drk/xftn djghjcs b pflfxb> lkz htitybz rjnjhs[ nht,etncz ghbvtytybt rjkbxtcndtyyjuj vsiktybz. R rf;ljve djghjce ghtlkfuf/ncz xtnsht dfhbfynf jndtnf. Cktletn ds,hfnm ghfdbkmysq dfhbfyn jndtnf b jnvtnbnm tuj yjvth d cjjndtncnde/otv vtcnt yf kbcnt jndtnjd.

J,obt pfvtxfybz

* Xthnt;b> ghbkfuftvst r ytrjnjhsv djghjcfv> ghtlyfpyfxtys lkz njuj> xnj,s gjvjxm d b[ htitybb> yj jyb yt j,zpfntkmyj yfxthxtys d cjjndtncnde/ob[ vfcinf,f[. Yt cktletn ltkfnm dsdjls j lkbyt jnhtprf> dtkbxbyt eukf b

n. l. kbim yf jcyjdfybb xthnt;tq.* Tckb kbybz> bpj,hf;tyyfz yf hbceyrt> ghtlcnfdkztncz ghzvjq> nj vj;yj ghtlgjkj;bnm> xnj jyf ltqcndbntkmyj

zdkztncz ghzvjq.* Tckb d djghjct d rfxtcndt jlyjuj bp lfyys[ ghbdtlty utjvtnhbxtcrbq nthvby !ht,hj> hflbec> gkjoflm> j,(tv b lh.@>

nj gjlhfpevtdftncz> xnj tuj pyfxtybt ,jkmit yjkz !d ghjnbdyjv ckexft ,elen lfys lheubt erfpfybz@.* Tckb d djghjct erfpfy a (a > 0)> nj bvttncz d dble gjkj;bntkmysq rjhtym a.* 0 yt zdkztncz yb gjkj;bntkmysv xbckjv> yb jnhbwfntkmysv xbckjv.* 0 zdkztncz xtnysv xbckjv. * 1 yt zdkztncz ghjcnsv xbckjv.

Ajhveks

10. Gkjoflm nhfgtwbb> lkbyf jlyjuj jcyjdfybz rjnjhjq a, f lkbyf lheujuj jcyjdfybz b b lkbyf dscjns h, hfdyf a b h

2$+] g

11. Dyenhtyybt euks vyjujeujkmybrf !n - xbckj cnjhjy vyjujeujkmybrf@% f. Cevvf dyenhtyyb[ eukjd vyjujeujkmybrf

hfdyf (180n – 360) uhflecjd. ,. D ghfdbkmyjv vyjujeujkmybrt dtkbxbyf

rf;ljuj dyenhtyytuj eukf hfdyf

n nn180 360 180 360=− −a ak k uhflecjd.

12. Rheu> jrhe;yjcnm% f. Gkjoflm rheuf hflbecjv r hfdyf πr2 (π = 3.14...)

,. Lkbyf jrhe;yjcnb hfdyf 2πrd. Gkjoflm ctrnjhf rheuf> j,hfpjdfyyjuj

wtynhfkmysv eukjv x°> hfdyf r x360

2 $π

13. Ghzvjeujkmysq gfhfkktktgbgtl> re,% f. J,(tv ghzvjeujkmyjuj gfhfkktktgbgtlf> lkbyf rjnjhjuj a, ibhbyf b b dscjnf c, hfdty a · b · c ,. Gkjoflm gjdth[yjcnb ghzvjeujkmyjuj

gfhfkktktgbgtlf hfdyf 2ab + 2bc + 2ac d. D re,t a = b = c

14. Wbkbylh% f. Gkjoflm ,jrjdjq gjdth[yjcnb wbkbylhf> hflbec jcyjdfybz rjnjhjuj hfdty r> f dscjnf h> hfdyf 2πr · h

,. Gkjoflm gjkyjq gjdth[yjcnb

wbkbylhf hfdyf 2πr2 + 2πr · h = 2πr(r + h)

d. J,(tv wbkbylhf hfdty πr 2· h

15. J,(tv rjyecf> hflbec jcyjdfybz

rjnjhjuj r> f dscjnf h> hfdty r h3$π 2

16. J,(tv gbhfvbls> gkjoflm jcyjdfybz

rjnjhjq S f dscjnf h > hfdty S h3$

a

b

h

r

rx°

cba

A

h

r

B

C

D

E

F

h

a

A

CB

ניצב

ניצב

יתר

A

CB

hypoténuse

côté

côté


A

CB

hypotenuse

leg

leg

רוסית

A

CB

ubgjntyepfrfntn

rfntn

ספרדית

A

CB

hipotenusa

cateto

cateto

איטלקית

A

CB

ipotenusa

cateto

cateto

ba

h

r

A

CB

قائم

قائم

وتر

a

b

h

r

rx°

cba

A

h

r

B

C

D

E

F

h

a

A

CB

ניצב

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A

CB

hypoténuse

côté

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A

CB

hypotenuse

leg

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רוסית

A

CB

ubgjntyepfrfntn

rfntn

ספרדית

A

CB

hipotenusa

cateto

cateto

איטלקית

A

CB

ipotenusa

cateto

cateto

ba

h

r

A

CB

قائم

قائم

وتر

a

b

h

r

rx°

cba

A

h

r

B

C

D

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F

h

a

A

CB

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A

CB

hypoténuse

côté

côté


A

CB

hypotenuse

leg

leg

רוסית

A

CB

ubgjntyepfrfntn

rfntn

ספרדית

A

CB

hipotenusa

cateto

cateto

איטלקית

A

CB

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cateto

cateto

ba

h

r

A

CB

قائم

قائم

وتر

a

b

h

r

rx°

cba

A

h

r

B

C

D

E

F

h

a

A

CB

ניצב

ניצב

יתר

A

CB

hypoténuse

côté

côté


A

CB

hypotenuse

leg

leg

רוסית

A

CB

ubgjntyepfrfntn

rfntn

ספרדית

A

CB

hipotenusa

cateto

cateto

איטלקית

A

CB

ipotenusa

cateto

cateto

ba

h

r

A

CB

قائم

قائم

وتر

a

b

h

r

rx°

cba

A

h

r

B

C

D

E

F

h

a

A

CB

ניצב

ניצב

יתר

A

CB

hypoténuse

côté

côté


A

CB

hypotenuse

leg

leg

רוסית

A

CB

ubgjntyepfrfntn

rfntn

ספרדית

A

CB

hipotenusa

cateto

cateto

איטלקית

A

CB

ipotenusa

cateto

cateto

ba

h

r

A

CB

قائم

قائم

وتر

1. Ghjwtyns% a% jn x - 'nj a x100 $

2. Cntgtyb% lkz k/,juj xbckf a, yt hfdyjuj 0, b k/,s[ wtks[ n b m -

f. aa1n=−n

,. am + n = am · an

d. a ammn n

= _ i (a > 0, m > 0)

u. an · m = (an)m

3. Ajhveks cjrhfotyyjuj evyj;tybz% (a ± b)2 = a2 ± 2ab + b2

(a + b)(a – b) = a2 – b2

4. Pflfxb yf ghjqltyysq genm% crjhjcnm = hfccnjzybt dhtvz 5. Pflfxb yf vjoyjcnm% vjoyjcnm = hf,jnf

dhtvz

6. Afrnjhbfk% n! = n(n – 1)(n – 2) · ... · 2 · 1

7. Ghjgjhwbz% Tckb AD || BE || CF ,

nj DEAB

EFBC= , f nfr;t

ACAB

DFDE=

8. Nhteujkmybr% f. Gkjoflm nhteujkmybrf> lkbyf jcyjdfybz rjnjhjuj a, b lkbyf dscjns r lfyyjve jcyjdfyb/ h, hfdyf a h

2$

,. Ntjhtvf Gbafujhf% d ghzvjeujkmyjv nhteujkmybrt !nhteujkmybr ABC yf xthnt;t@ dctulf cj,k/lftncz cktle/ott ghfdbkj% AC2 = AB2 + BC2

d. D ghzvjeujkmyjv nhteujkmybrt> euks rjnjhjuj hfdys 30°, 60° b 90°, lkbyf rfntnf> kt;fotuj ghjnbd eukf d 30°> hfdyf gjkjdbyt lkbys ubgjntyeps.

9. Gkjoflm ghzvjeujkmybrf lkbyjq a b ibhbyjq b hfdyf a · b

a

b

h

r

rx°

cba

A

h

r

B

C

D

E

F

h

a

A

CB

ניצב

ניצב

יתר

A

CB

hypoténuse

côté

côté


A

CB

hypotenuse

leg

leg

רוסית

A

CB

ubgjntyepfrfntn

rfntn

ספרדית

A

CB

hipotenusa

cateto

cateto

איטלקית

A

CB

ipotenusa

cateto

cateto

ba

h

r

A

CB

قائم

قائم

وتر

a

b

h

r

rx°

cba

A

h

r

B

C

D

E

F

h

a

A

CB

ניצב

ניצב

יתר

A

CB

hypoténuse

côté

côté


A

CB

hypotenuse

leg

leg

רוסית

A

CB

ubgjntyepfrfntn

rfntn

ספרדית

A

CB

hipotenusa

cateto

cateto

איטלקית

A

CB

ipotenusa

cateto

cateto

ba

h

r

A

CB

قائم

قائم

وتر

a

b

h

r

rx°

cba

A

h

r

B

C

D

E

F

h

a

A

CB

ניצב

ניצב

יתר

A

CB

hypoténuse

côté

côté


A

CB

hypotenuse

leg

leg

רוסית

A

CB

ubgjntyepfrfntn

rfntn

ספרדית

A

CB

hipotenusa

cateto

cateto

איטלקית

A

CB

ipotenusa

cateto

cateto

ba

h

r

A

CB

قائم

قائم

وتر

a

b

h

r

rx°

cba

A

h

r

B

C

D

E

F

h

a

A

CB

ניצב

ניצב

יתר

A

CB

hypoténuse

côté

côté


A

CB

hypotenuse

leg

leg

רוסית

A

CB

ubgjntyepfrfntn

rfntn

ספרדית

A

CB

hipotenusa

cateto

cateto

איטלקית

A

CB

ipotenusa

cateto

cateto

ba

h

r

A

CB

قائم

قائم

وتر

B/km 2014 ujlf


Rjkbxtcndtyyjt vsiktybt> hfpltk dnjhjq - 28 -

B/km 2014 ujlf


Rjkbxtcndtyyjt vsiktybt> hfpltk dnjhjq


1. Fgntrfhm t;tlytdyj ghjlftn 20 egfrjdjr gj 25 nf,ktnjr b 5 egfrjdjr gj 100 nf,ktnjr.

Pf crjkmrj lytq fgntrfhm ghjlfcn 10000 nf,ktnjr*

(1) 10

(2) 20

(3) 25

(4) 7 21

2. A b B - ,erds> cjjndtncnde/obt wbahfv d bynthdfkt jn 0 lj 9.

Lfyj% + A1A 1A1

111B

A + B = ?

(1) 8 (2) 9 (3) 11 (4) 12

3. Lfyj% a> b b c - gjcktljdfntkmyst xbckf> a > b > c > 0.

x c ab c= −

−

x = ?

(1) 1

(2) 21

(3) - 21

(4) -1

4. Lfys 3 hfpkbxyst ghzvst yf gkjcrjcnb% a, b b c.

Lfyj% a ⊥ c , b ⊥ c

Rfrjt bp cktle/ob[ endth;ltybq zdkztncz ytghtvtyyj dthysv*

(1) a ⊥ b (2) a || b (3) a b b gthtctrf/n c d jlyjq b njq ;t njxrt (4) yb jlyj bp ghbdtltyys[ dsit endth;ltybq yt zdkztncz ytghtvtyyj dthysv

- 29 -

B/km 2014 ujlf



5. Rfrjt bp cktle/ob[ xbctk zdkztncz yfb,jkmibv*

(1) 21 2b l

(2) 21 2

1

b l

(3) 21 2

1-b l

(4) 21 2-b l

6. D cktle/ob[ nhteujkmybrf[ lkbys cnjhjy lfys d cfynbvtnhf[.

D rfrjv bp 'nb[ nhteujkmybrjd lkbyf dscjns> j,jpyfxtyyjq h> cjcnfdkztn wtkjt xbckj cfynbvtnhjd*

(1) (2)

(3) (4)

7. 4 ,hfnmtd gjkexbkb vtijr rjyatn. Jyb gjgsnfkbcm hfpltkbnm rjyatns bp vtirf vt;le cj,jq gjhjdye> yj yt cvjukb cltkfnm 'nj. Rjulf r ybv ghbcjtlbybkfcm b[ ldj/hjlyfz ctcnhf> jyb cvjukb hfpltkbnm rjyatns gjhjdye vt;le gznm/ exfcnybrfvb.

Rfrjt bp cktle/ob[ xbctk yt vj;tn ,snm rjkbxtcndjv rjyatn d vtirt*

(1) 20 (2) 25 (3) 30 (4) 35

5082

P Q

8

h5 5h4 4

4

h4 4

6

a

b

h8 8

7

8

h5 5 h4 4

4

h4 4

6h

8 8

7

x20°

4x 3x

A

B C

a

b

O10°

α

50°

8

h5 5h4 4

4

h4 4

6h8 8

7

?

A

B O

C

α

b

a

L

K

K

L

a

b - 30 -

B/km 2014 ujlf



Dsdjls bp lbfuhfvvs !djghjcs 8-11@Dybvfntkmyj hfccvjnhbnt ghbdtltyye/ lbfuhfvve b jndtnmnt yf xtnsht cktle/ob[ pf ytq djghjcf.

Cktle/ofz lbfuhfvvf bpj,hf;ftn cjhtdyjdfybz gj gjldjlyjve gkfdfyb/ vt;le xtnshmvz exfcnybrfvb% Fylhttv> <tkjq> Ufktq b Lfdbljv !cv. j,jpyfxtybz@. Dct jyb yfxbyf/n ldb;tybt bp jlyjq b njq ;t njxrb. Lbfuhfvvf cjlth;bn lfyyst> rfcf/obtcz pfgksdf rf;ljuj bp exfcnybrjd% uke,bye> yf rjnjhe/ gjuhepbkcz exfcnybr& ujhbpjynfkmyjt hfccnjzybt> rjnjhjt jy ghjgksk& ghjljk;bntkmyjcnm dhtvtyb c yfxfkf pfgksdf lj ljcnb;tybz exfcnybrjv njxrb> j,jpyfxtyyjq rhe;rjv !wbahf dyenhb rhe;rf jpyfxftn ghjljk;bntkmyjcnm dhtvtyb d vbyenf[@.Lkz dsxbcktybz rjkbxtcndf ,fkkjd> yf,hfyyjuj rf;lsv exfcnybrjv> evyj;f/n rf;ljt pyfxtybt uke,bys> yf rjnjhe/ jgecnbkcz exfcnybr> yf hfccnjzybt> rjnjhjt jy ghjgksk yf 'njq uke,byt> b crkflsdf/n gjkextyyst htpekmnfns. Gj,tlbntktv cjhtdyjdfybz cxbnftncz exfcnybr> yf,hfdibq yfb,jkmie/ cevve ,fkkjd.

Yfghbvth% Lfdbl ljcnbu uke,bys d 24 vtnhf xthtp ldt vbyens gjckt njuj> rfr yfxfk pfgksd. Yf 'njq uke,byt jy yf[jlbkcz jlye !ljgjkybntkmye/@ vbyene> yf ghjnz;tybb rjnjhjq jy ghjgksk 15 vtnhjd. Ghjldb;tybt yf 'nj hfccnjzybt lfkj tve 360 ,fkkjd !15 x 24@. Lfdbl pfrjyxbk pfgksd cgecnz tot jlye vbyene.

Fylhtq

<tkf

Ufkz

Lfdbl

J,jpyfxtybz%

5 10 15 20 25 30 35 40 45 50

24

22

20

16

14

12

10

8

6

4

2

0

18

4{ 4 3 4

2

2

2

3

3

2

3

Gjdth[yjcnm djls

Uke,byf !d vtnhf[@

Hfccnjzybt !d vtnhf[@

Yfxfkmyfz njxrf

תחרות

0 2 3 4

16

8

12

4

Uke,byf!d vtnhf[@

Dhtvz !d vbyenf[@

0 2 3 4

16

4

8

12

Uke,byf!d vtnhf[@

Dhtvz !d vbyenf[@

0 2 3 4

16

4

8

12

Uke,byf!d vtnhf[@

Dhtvz !d vbyenf[@

0 2 3 4

16

8

12

4

Uke,byf!d vtnhf[@

Dhtvz !d vbyenf[@

J,jpyfxtybz%

Fylhtq <tkf

J,hfnbnt dybvfybt% ghb jndtnt yf rf;lsq djghjc yt cktletn ghbybvfnm dj dybvfybt lfyyst> ghbdtltyyst d lheub[ djghjcf[.

- 31 -

B/km 2014 ujlf



Djghjcs

8. Rnj bp exfcnybrjd ghtjljktk yfb,jkmitt ujhbpjynfkmyjt hfccnjzybt xthtp 4 vbyens gjckt yfxfkf pfgksdf*

(1) Fylhtq (2) <tkf (3) Ufkz (4) Lfdbl

9. Rnj bp exfcnybrjd pfrjyxbk cdjq pfgksd pf cfvjt rjhjnrjt dhtvz*

(1) Fylhtq (2) <tkf (3) Ufkz (4) Lfdbl

10. Rnj bp exfcnybrjd yf,hfk yfb,jkmitt rjkbxtcndj ,fkkjd cgecnz 2 vbyens gjckt yfxfkf cjhtdyjdfybz*

(1) Lfdbl (2) Fylhtq b Ufkz yf,hfkb jlbyfrjdjt rjkbxtcndj ,fkkjd> b jyj ,skj yfb,jkmibv (3) <tkf (4) Fylhtq b <tkf yf,hfkb jlbyfrjdjt rjkbxtcndj ,fkkjd> b jyj ,skj yfb,jkmibv

11. Rfrjq bp cktle/ob[ uhfabrjd vj;tn jgbcsdfnm cdzpm vt;le uke,byjq> yf rjnjhjq gkfdfkb Fylhtq b <tkf> b ghjljk;bntkmyjcnm/ b[ pfgksdf*

(1) (2)

(3) (4)

Fylhtq

<tkf

Ufkz

Lfdbl

J,jpyfxtybz%

5 10 15 20 25 30 35 40 45 50

24

22

20

16

14

12

10

8

6

4

2

0

18

4{ 4 3 4

2

2

2

3

3

2

3

Gjdth[yjcnm djls

Uke,byf !d vtnhf[@

Hfccnjzybt !d vtnhf[@

Yfxfkmyfz njxrf

תחרות

0 2 3 4

16

8

12

4

Uke,byf!d vtnhf[@

Dhtvz !d vbyenf[@

0 2 3 4

16

4

8

12

Uke,byf!d vtnhf[@

Dhtvz !d vbyenf[@

0 2 3 4

16

4

8

12

Uke,byf!d vtnhf[@

Dhtvz !d vbyenf[@

0 2 3 4

16

8

12

4

Uke,byf!d vtnhf[@

Dhtvz !d vbyenf[@

J,jpyfxtybz%

Fylhtq <tkf

- 32 -

B/km 2014 ujlf




12. Chtlytt pyfxtybt x, y b z hfdyj chtlytve pyfxtyb/ x b y.

Rfrjt bp cktle/ob[ ghtlkj;tybq zdkztncz ytghtvtyyj dthysv*

(1) x hfdyj y (2) z hfdyj 0 (3) z hfdyj chtlytve pyfxtyb/ x b y (4) yb jlby bp ghbdtltyys[ dsit dfhbfynjd jndtnf yt zdkztncz dthysv

13. Yf cktle/otv xthnt;t bpj,hf;tyf jrhe;yjcnm c wtynhjv O. AB - rfcfntkmyfz r jrhe;yjcnb d njxrt B.

Cjukfcyj 'nbv lfyysv b lfyysv xthnt;f>

«OBC = ?

(1) a

(2) 2a

(3) 90c α−

(4) 45 2c α−

14. E ytrjnjhjuj ;bdjnyjuj bvttncz x yju (x > 1). D jlyjv cnflt 'nb[ ;bdjnys[ yfcxbnsdftncz 42 yjub> f d lheujv cnflt 'nb[ ;bdjnys[ yfcxbnsdftncz 91 yjuf.

Xtve hfdty x*

(1) 13 (2) 7 (3) 3 (4) yb jlby bp ghbdtltyys[ dsit dfhbfynjd jndtnf yt zdkztncz dthysv

15. Cevvf wbah nht[pyfxyjuj xbckf ljk;yf ,snm ,jkmit bkb hfdyjq b vtymit bkb hfdyjq .

(1) 1 ; 27 (2) 1 ; 20 (3) 3 ; 27 (4) 3 ; 20

16. 6 cnekmtd hfccnfdktys gj rheue. Yf nht[ bp yb[ cblzn 3 xtkjdtrf> b vt;le rf;lsvb 2 k/lmvb bvttncz gecnjq cnek. 3 lheub[ xtkjdtrf [jnzn ctcnm yf gecnst cnekmz.

Crjkmrj djpvj;yjcntq hfccflrb ceotcndetn e 'nb[ 3 k/ltq*

(1) 12 (2) 2 (3) 3 (4) 6

5072

1112

13

14

15

1617

18192021

22

24

23

2526

r

r

B

A

F

E D H

CG

5 ס"מ

6 ס"מ3 ס"מ

B

A

F

E D H

CG

5 cm

6 cm 3 cm

B

A

F

E D H

CG

5 cv

6 cv 3 cv

B

A

F

E D H

CG

5 سم

6 سم 3 سم

α

Or ס"מ

A(0 ; 2 · a)

y

x

B (a ; -1)

O

רוסית

x

A (0 , 2 · a)

y

B (a , -1)

O

?

64°

A

E

CB D

α

Or cm

α

Or سم

α

Or cv

?

A

B O

C

α

α α

β

A

B CD

O3

O1

O2

- 33 -

B/km 2014 ujlf



17. Hfdyjcnjhjyybq nhteujkmybr dgbcfy d rheu hflbecjv r cv.

Rfrjdf lkbyf cnjhjys 'njuj nhteujkmybrf !d cv@*

(1) r3 (2) 2r (3) r28 (4) r2

5

18. Yf ghbdtltyyjv xthnt;t K - lkbyf dscjns r cnjhjyt a> f L - lkbyf dscjns r cnjhjyt b.

Lfyj% ba 4=

?LK =

(1) ab2

(2) 21

(3) ab4

(4) 41

19. 43 he,fitr d irfae - ptktyst.

Yf 54 he,fitr d irfae tcnm geujdbws.

53 he,fitr d irfae - ptktyst> b yf yb[ tcnm geujdbws.

Rjkbxtcndj ptktys[ he,fitr> yf rjnjhs[ ytn geujdbw = ?

Rjkbxtcndj he,fitr c geujdbwfvb> yt zdkz/ob[cz ptktysvb

(1) 21 (2) 2 (3) 2

3 (4) 43

20. Lfyj% x(y + x) = y(x – y)

x = ?

(1) 1 (2) y – 1 (3) y + 1 (4) 0

5082

P Q

8

h5 5h4 4

4

h4 4

6

a

b

h8 8

7

8

h5 5 h4 4

4

h4 4

6h

8 8

7

x20°

4x 3x

A

B C

a

b

O10°

α

50°

8

h5 5h4 4

4

h4 4

6h8 8

7

?

A

B O

C

α

b

a

L

K

K

L

a

b

- 34 -

B/km 2014 ujlf



Gecnfz cnhfybwf

- 35 -

- 36 - B/km 2014 ujlf


Fyukbqcrbq zpsr> hfpltk gthdsq

ENGLISH

The following section contains three types of questions: Sentence Completion, Restatement and Reading Comprehension. Each question is followed by four possible responses. Choose the response which best answers the question and mark its number in the appropriate place on the answer sheet.

Sentence Completions (Questions 1-8)This part consists of sentences with a word or words missing in each. For each question, choose the answer which best completes the sentence.

1. "Victorian" architecture was named for Queen Victoria, but it was her husband, Albert, who made the style popular.

(1) actually (2) extremely (3) presently (4) hopefully

2. Many people in ancient Egypt kept tame monkeys as .

(1) pets (2) pages (3) plates (4) points

3. Believing it would lead him to lands full of gold, Columbus a southern route for his third voyage to the Americas.

(1) offended (2) imprisoned (3) selected (4) tightened

4. its name, the tough string known as "catgut" is made from the intestines of sheep and sometimes horses, but never cats.

(1) Without (2) Beyond (3) Since (4) Despite

This section contains 22 questions.The time allotted is 20 minutes.

- 37 - B/km 2014 ujlf



5. "Lepidoptery" is the scientific for the study of butterflies.

(1) scale (2) worth (3) term (4) fate

6. In the recent elections in France, more than 80 percent of those to vote did so.

(1) defiant (2) eligible (3) lucid (4) forlorn

7. The rhinoceros for its poor eyesight by using its keen senses of smell and hearing.

(1) compensates (2) consumes (3) converses (4) compromises

8. Austrian physicist Lise Meitner her early interest in science to the intellectual atmosphere of her parents' home.

(1) nominated (2) endorsed (3) attributed (4) prescribed

- 38 - B/km 2014 ujlf



Restatements (Questions 9-12)This part consists of several sentences, each followed by four possible ways of restating the main idea of that sentence in different words. For each question, choose the one restatement which best expresses the meaning of the original sentence.

9. The giraffe towers over all other animals.

(1) No other animal is as tall as the giraffe.(2) Many animals are afraid of giraffes.(3) The giraffe is stronger than most other animals.(4) Giraffes are among the fastest animals.

10. According to one assessment, a single truck carrying a 38-ton load causes more extensive damage to both roads and the environment than do one hundred thousand cars.

(1) It is difficult to estimate the extent of the damage caused to roads and the environment by large numbers of heavy trucks and cars.

(2) It has been estimated that the damage caused to roads and the environment by one truck carrying a 38-ton load is greater than that caused by one hundred thousand cars.

(3) It has been shown that the damage caused to the environment and roads by one hundred thousand cars is equal to that caused by a truck weighing 38 tons.

(4) While heavy trucks cause major damage to roads, it is claimed that cars are more harmful to the environment.

11. As the population of China grows, the amount of land available for farming decreases.

(1) As the number of people in China grows, more land is needed for farming.(2) Although there are more people in China than ever before, there are fewer farmers.(3) China does not have enough land to produce food for its growing population.(4) The more people there are in China, the less land there is to farm.

12. The full significance of Primo Levi's first book only became apparent with the appearance of his last, The Drowned and the Saved.

(1) The most significant themes of Primo Levi's first book appear again in his last, The Drowned and the Saved.

(2) Primo Levi's first novel appeared only after the publication of his last, The Drowned and the Saved.

(3) Not until the publication of Primo Levi's last book, The Drowned and the Saved, did people recognize the true meaning of his first book.

(4) The full significance of Primo Levi's The Drowned and the Saved becomes apparent only after reading his first book.

- 39 - B/km 2014 ujlf



Reading Comprehension This part consists of two passages, each followed by several related questions. For each question, choose the most appropriate answer based on the text.

Text I (Questions 13-17)

(1) Many kinds of pollution have a negative effect on our quality of life. There is increasing public awareness of air, water and soil pollution. Noise pollution, however, has attracted less attention even though it is just as harmful.

Research has shown that loud noise may interfere with children's ability to learn. (5) An experiment showed that children in schools near noisy airports scored lower on

problem-solving tests than children who studied in quieter areas. The children's scores rose once steps were taken to lower the noise level.

Based on experiments of this kind, scientists have linked loud noise to a condition called "learned helplessness." Learned helplessness affects children who, for various

(10) reasons, cannot concentrate. As a result, they perform poorly in school. This makes them feel that they will never be able to succeed and therefore stop trying to learn. Because noise makes it difficult for children to concentrate, it is a major cause of learned helplessness.

In addition to noise from outside the school, noise can originate inside the school (15) itself. Internal sources of noise may include loud voices, bells, and even the heating

system. Experts suggest that schools install carpets and special tiles that help absorb loud noises. These steps can help control noise pollution and so make it easier for children to learn.

Questions

13. The main purpose of the text is to -

(1) compare different kinds of pollution(2) describe sources of noise in schools(3) discuss how noise can interfere with children's ability to learn(4) explain how children's test scores can be improved

- 40 - B/km 2014 ujlf



14. The second paragraph mainly describes -

(1) an experiment about noise and learning(2) ways to control noise(3) noise at airports(4) the noise level in schools

15. According to the third paragraph, which of the following cannot be said about children with learned helplessness?

(1) They cannot concentrate.(2) They perform poorly in school.(3) They are not affected by noise.(4) They stop trying to learn.

16. In the last paragraph, bells are mentioned as an example of something that -

(1) should be made out of special tiles(2) controls noise pollution(3) causes noise in schools(4) makes it easier for children to learn

17. In line 16, "install" means -

(1) find out(2) learn about(3) go around(4) put in

- 41 - B/km 2014 ujlf



Text II (Questions 18-22)

(1) One historian called him the world's first individualist. Sigmund Freud speculated that he had taught monotheism to Moses. If recent research makes less exaggerated claims for Pharaoh Amenhotep IV, who reigned from 1378 to 1362 B.C.E., he continues to hold his place as an artistic and religious revolutionary. He turned his back on the

(5) pantheon of Egyptian gods to worship only one of them: Aten, the life-giving sun. To signify his new allegiance, he changed his name to Akhenaten and built himself a new city, known today as Tel El Amarna, where he ruled with his queen, Nefertiti.

Equally untraditional is the shocking manner in which artists portrayed Akhenaten and his family. Egyptian rulers had always been depicted as physically perfect, but

(10) Akhenaten's artists showed their subject as almost grotesque, with a long, haggard face; slanting eyes; thick lips; and a soft, effeminate body. As a result, there has long been speculation that Akhenaten suffered from a rare disease.

But now some Egyptologists are wondering: did Akhenaten really look like that? Or do we need to look at his picture in a different way? In other words, these experts

(15) are suggesting that ancient Egyptian art was not intended to be representational. It was meant to be symbolic, to give expression to the subject's characteristics, not to create an accurate likeness. The scholars argue that the "grotesqueness" of the portraits serves to convey the royal family's individuality.

To support their claim, they point out that there is a history of similarly "ugly" (20) portraits in earlier Egyptian art. Those portraits depicted foreigners, servants and

people considered abnormal, on the fringes of society. The experts believe that Akhenaten ordered his artists to adopt these conventions to show that the king and his family were not like other human beings: just as their god was unique, so were they.

Questions

18. It can be inferred from the first paragraph that Amenhotep changed his name to Akhenaten in order to -

(1) show that he worshipped only the sun(2) signify his new allegiance to Nefertiti(3) persuade the people of Tel El Amarna to worship Aten(4) place himself in the pantheon of Egyptian gods

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19. The second paragraph contrasts portraits of Akhenaten -

(1) with those of his family(2) that show him as grotesque with those that show him as physically perfect(3) that were made by his artists with those that were made by other artists(4) with those of earlier rulers

20. It can be inferred that the Egyptologists mentioned in line 13 believe that -

(1) Akhenaten did not actually have a long, haggard face and slanting eyes(2) ancient Egyptians did not think thick lips were grotesque(3) ancient Egyptian art was intended to be representational(4) Akhenaten suffered from a rare disease

21. The main purpose of the last paragraph is to support the claim that -

(1) Akhenaten was not considered a human being but a god(2) Akhenaten was actually a foreigner(3) Akhenaten's artists thought he was ugly(4) Akhenaten's artists were trying to emphasize the pharaoh's specialness

22. An appropriate title for the text would be -

(1) The Ugly Pharaoh: New Ideas about the Depiction of Akhenaten(2) Akhenaten: Diseased or Just Grotesque?(3) Akhenaten and Nefertiti: Religious Revolutionaries(4) Egyptian Art: From the Symbolic to the Representational

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ENGLISH

The following section contains three types of questions: Sentence Completion, Restatement and Reading Comprehension. Each question is followed by four possible responses. Choose the response which best answers the question and mark its number in the appropriate place on the answer sheet.

Sentence Completions (Questions 1-8)This part consists of sentences with a word or words missing in each. For each question, choose the answer which best completes the sentence.

1. In 1932, Amelia Earhart became the first woman pilot to make a solo across the Atlantic Ocean.

(1) flight (2) heroine (3) apology (4) guard

2. Though their countries were bitter enemies, Soviet leader Nikita Khrushchev U.S. President John F. Kennedy for his intelligence and courage.

(1) softened (2) reviewed (3) admired (4) instructed

3. Most scholars consider Beowulf, an 8th-century epic poem, to be the most important work of Old English .

(1) opposition (2) tolerance (3) literature (4) dismissal

4. Horse racing is a popular sport in England, and many people there their favourite horses every week.

(1) slip on (2) lock up (3) bet on (4) differ from

This section contains 22 questions.The time allotted is 20 minutes.

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5. , thousands of people must undergo treatment for rabies because it cannot be ascertained whether the animal that bit them had the disease.

(1) Previously (2) Comparatively (3) Alternately (4) Unfortunately

6. It is believed that Abraham Lincoln suffered from Marfan's syndrome, an inherited that causes arms and legs to grow to abnormal lengths.

(1) disorder (2) accusation (3) whisper (4) preposition

7. The sloth bear is hunted for its gallbladder and other organs, which are highly in Asia for their medicinal qualities.

(1) prized (2) pleased (3) promised (4) prepared

8. The American secretary of state is the of the Israeli foreign minister.

(1) transaction (2) predicament (3) counterpart (4) ingredient

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Restatements (Questions 9-12)This part consists of several sentences, each followed by four possible ways of restating the main idea of that sentence in different words. For each question, choose the one restatement which best expresses the meaning of the original sentence.

9. The only reptile in Ireland is the lizard.

(1) Most of the reptiles found in Ireland are lizards.(2) There are no lizards in Ireland.(3) Many reptiles, including lizards, live in Ireland.(4) In Ireland there is just one reptile – the lizard.

10. Czar Peter the Great of Russia introduced many Western ideas and technologies to his country.

(1) Peter the Great introduced many Russian ideas and technologies to the West.(2) Peter the Great did not allow the Russian people to learn about Western ideas or

technologies.(3) Many Western ideas and technologies were brought to Russia by Peter the Great.(4) Czar Peter the Great of Russia was not interested in any Western ideas or

technologies.

11. Since many countries do not have sufficient agricultural output to meet domestic demand, they are forced to import foodstuffs from other countries.

(1) Many countries are dissatisfied with the quality of their agricultural products and, therefore, import certain foods from other places.

(2) Many countries must import food because their agricultural production levels are not high enough to satisfy domestic needs.

(3) Even when their agricultural output is insufficient, many countries prefer not to import foodstuffs from other countries.

(4) In many countries, domestic demand dictates which foods are grown locally and which agricultural products are imported.

12. Students at Cornell University have concocted a baked apple dessert filled with ice cream, which can be microwaved without liquefying the filling.

(1) An ice-cream-filled baked apple dessert that can be heated in a microwave oven without melting the ice cream has been created by students at Cornell University.

(2) Students at Cornell University have developed an improved microwave oven that can heat up a baked apple dessert filled with ice cream without melting the ice cream.

(3) Students at Cornell University have been trying to develop an ice cream substitute that will not melt when microwaved, for use in baked apple desserts.

(4) A new method of heating an ice-cream-filled baked apple dessert without using a microwave oven is being researched by students at Cornell University.

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Reading Comprehension This part consists of two passages, each followed by several related questions. For each question, choose the most appropriate answer based on the text.

Text I (Questions 13-17)

(1) One of the oldest animals on the face of the planet is undoubtedly one of the oddest. The armadillo evolved 50 million years ago and has survived with few changes ever since. It seems to have been cobbled together from parts of many different animals, with a shell like a turtle's, a nose like an anteater's and a head like a rabbit's.

(5) The most obvious feature of the armadillo is also the most bizarre: unlike any other mammal, it is covered by a carapace, or shell. This carapace is made up of some 2,500 plates that resemble human fingernails. Unlike a turtle's, the armadillo's shell is quite thin and smooth. This smoothness serves a protective function. When the armadillo hides in a hole, it is difficult for an attacker to get a good grip on its armored back. The

(10) carapace also allows armadillos to slip easily through dense, thorny thickets, enabling the animal to evade pursuers who are protected only by skin and fur.

Surprisingly, considering its short legs and squat shape, the armadillo can run extremely quickly. It is also a remarkable jumper, able to leap more than a meter into

the air when startled. In contrast to the armadillo's impressive physical abilities, (15) however, the animal's intelligence appears to be limited. In proportion to its body size,

its brain is among the smallest of any mammal.

According to Eleanor Storrs, a biology professor and leading armadillo expert, this is the main reason why armadillos adapt so easily to captivity. In addition, they are not picky about their diet and show few signs of distress when kept in a home or cage.

(20) Nevertheless, Storrs does not recommend trying to keep them as pets. If let loose in the house, armadillos spend all their time digging noisily in cupboards and underneath furniture. And though they are docile and harmless, Storrs says they are incapable of forming emotional attachments to other species. Sue McPhee, the proud owner of eight pet armadillos, disagrees.

Questions

13. The main purpose of the text is to -

(1) explain how the armadillo evolved over millions of years (2) compare the armadillo with other animals (3) discuss the unusual characteristics of the armadillo(4) present the findings of a leading armadillo expert

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14. In line 3, "cobbled together" could be replaced by -

(1) observed(2) constructed(3) evolved(4) survived

15. In lines 8-11 ("When . . . fur"), the text lists two -

(1) reasons why armadillos hide in holes(2) difficulties faced by armadillos when they are chased(3) ways in which the carapace helps the armadillo (4) advantages for the armadillo of living in dense thickets

16. The main purpose of the third paragraph is to -

(1) discuss the abilities and limitations of armadillos(2) compare the armadillo to other mammals(3) explain how the armadillo's shape affects its speed(4) show that armadillos have impressive physical strength

17. According to the text, Eleanor Storrs believes that armadillos adapt to captivity because they -

(1) are not very intelligent(2) have a protective carapace(3) are used to living in small spaces(4) like to dig in cupboards and underneath furniture

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Text II (Questions 18-22)

(1) Women struggling to put food on the table are more likely to be overweight than those whose refrigerators are always full, according to Marilyn Townsend of the University of California. She analyzed a U.S. government survey of the food intake of almost 10,000 Americans nationwide and found that the prevalence of obesity increases

(5) among women as their household income nears the poverty line. More than half of the women who reported not having enough to eat were overweight, compared to 34% of food-secure women. The paradoxical idea that food shortages could cause weight gain was first proposed in the mid-1990s but was not investigated seriously by researchers until now.

(10) Moira Tidball, a nutritionist in Washington, D.C., agrees that hunger and obesity often go together. She characterizes the problem facing many poor Americans as "malnutrition of a different sort." Tidball explains: "People who stretch their dollars to buy food often buy the wrong kind. Because poor neighborhoods often lack large grocery stores, people – especially those without cars – are forced to shop at small,

(15) local stores which stock little fresh fruit or vegetables but plenty of high-fat, high-starch processed food." She adds that "even when they have a broader selection of foods to buy, many poor people do not have the nutritional knowledge to make better choices." Indeed, Townsend's study found that obesity and lack of education were strongly correlated.

(20) Townsend thinks there is an additional reason why obesity strikes many poor people.

Americans who rely on government food programs receive food vouchers once a month. If they run out of vouchers in the last week of one month, they may overeat rich foods at the beginning of the next. Over time, such binge eating can lead to obesity. Furthermore, notes Christine Olson, a Cornell University researcher, women often

(25) deprive themselves to feed the rest of the family, making them more vulnerable to the famine-feast cycle of eating. She has documented this behavior through interviews with food-insecure women. With obesity and diet-related diseases, such as diabetes, on the rise, "we need more research on the health consequences of food insecurity," says Olson.

Questions

18. Another way the author describes "those whose refrigerators are always full" (line 2) is -

(1) struggling(2) paradoxical(3) overweight(4) food-secure

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19. According to the first paragraph, what did Townsend's analysis show?

(1) Poor women are less likely to be overweight than rich women.(2) Most poor people in America do not have enough to eat.(3) The poorest women are the most likely to be overweight.(4) Obesity is a serious problem for poor men as well as women.

20. The main purpose of the second paragraph is to -

(1) discuss Tidball's explanation of Townsend's findings (2) explain why many Americans are stretching their dollars to buy food (3) discuss Tidball's disagreement with Townsend (4) explain why many poor people lack knowledge about nutrition

21. Why is it significant that "Townsend's study found that obesity and lack of education were strongly correlated" (lines 18-19)?

(1) It suggests that many poor people do not know which foods are healthy.(2) It proves that hunger and obesity often go together.(3) It explains why poor women are less likely to be well educated.(4) It indicates that the real problem is poverty, not obesity.

22. It can be inferred that the "vouchers" mentioned in line 21 -

(1) can only be used once a month (2) cannot be used to buy rich foods(3) can be used instead of money to buy food (4) cannot be used at the end of the month

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B/km 2014 ujlf


ВпоследнеевремямногиежителиИзраилязадаются

вопросом-анестоитлиначатьжизньвсельскойместности?

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стве.Помоемумнению,проживаниевгородекажетсямне

болеепривлекательным,ияневижуникакихпрепятствий

дляполнотыосуществлениякаксоциальных,такиэкологи-

ческихценностей.Вслучае,есливозникаетнеобходимость

такназываемого"общениясприродой"вполнеможновос-

пользоватьсяближайшимотпуском,ипровестиеговсель-

скойместности,отдыхая,дышасвежимвоздухомиукрепляя

контактыссемьей.Яуверена,чтокомпромиссвлюбомслу-

чаеможетбытьнайден,ипреждевсегонадоориентировать-

сяналичностныеприоритетыиморальныйкомфорт,дабы

ошибочныерешениявдальнейшемнеприводиликнесамым

приятнымпоследствиям.

1

5

10

15

20

25

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МногиевИзраилемечтаютожизнивсельскойместности,

ихможнопонять.Жизньвсельскойместностинамного

спокойнееитише,чемжизньвбольшомгороде.Ктомуже

жизньвсельскойместности,помоемумнению,лучше

способствуетреализациисоциальныхиэкологических

ценностей.

Вопервых,неоспоримымфактомявляетсято,чтогорода

загрязняютокружающиюсреду,втовремякакдеревни,села

икибуцыстараютсяоблагорозитьее.Следуетотметить,что

населениевсельскихместностяхоченьнебольшое

(относительнонаселениявгородах)поэтомужители

деревеньиселзнаютдругдругаоченьхорошо,чтолишь

способствуетреализациисоциальныхценностей.

Сдругойстороны,какбылосказановыше,развитиегородов

пагубносказываетсянаэкологическиеценности,таккак

происходитвырубкалесов,уничтожениеместобитания

зверейиптиц,ктомуже,воздухзагрязняетсяиз-за

выхлопныхгазовавтотранспорта,заводовифабрик.Но

вместесэтимгородаспособствуютразвитиюэкономики,а

какизвестноэкономикабазируетсянаделовыхсвязях

которыеотражаютсятакжеивсоциальнойсфере.Стоит

отметить,чтонаселениегородовогромно,из-заэтоголюди

живущиевгородахпостояннознакомятсясновымилюдьми,

поэтомуихсоциальныймирразнообразен.

Подводяитогвышесказанного,ясчитаю,чтожизньв

сельскойместностилучшеспособствуетреализации

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социальныхценностей.Да,ужителейдеревеньсоциальный

кругкудаменееразнообразен,нооноснованнаболее

крепкихитеплыхвзаимоотношениях,аэтонамойвзгляд

кудаважнее.Вдобавокнетсмысласпоритьстем,что

экологиявселахразвитакудалучше,чемвгородах,таккакв

селахлюдистараютсяжитьвгармониисприродой.

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Демократиякотораяпредназначенанасегодняшнее

поколениепростонео...емлима,ивосхитительнапосвоим

качествам.Человекдолженценить,точтоэтоунегоесть.

Ведь...,напримервСоветскомСоюзе,привременахСталина

иЛенинабылажесткаядиктатураичеловекневправебыл

выбирать,каксегоднявИзраилекаждыйгражданинвправе

решитьспособсвоейжизниипутьеереализации.Естьдва

основных,исамыхобширныхспособовжизни,первыйэто

городской,авторойсельскохозяйственный.Ниодиниздвух

неможетсостоятьдругбездруга.Однакоестьспорыпо

поводуприоритетовреализациивсоциальноми

экологическомвопросе,междудвумясферами.

Самореализациявгородскихусловияхжизниимеет

исключительныеприоритеты,экологическогоплана.Это

являетсяпредотвращениеизлишнегоурона,вредазеленым

территориям.Ведьвгородеможнопоместитьгораздо

большеекол-волюдей,наопределенномучасткеместности.

Ночтокасаетсясоциальногоплана,созданиеобщинвгороде

гораздосложнее,чемэтопроисходитвсельскойместности,

нообсолютноненевозможно.НоиСельскохозяйственный

образреализации,посравнениюсгородскимимеет

обширныйприоритетвсозданииобщин,тоестьв

социологическомплане.Ведьлюдигородавзаимосвязаны

другсдругом,чтозначительновлияетНотакжеудеревни

естьисвоиминус,этозахватзеленыхтерриторий,воблаго

своейреализации.Ведьсельскохозяйственнаядеятельность

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влияетнавырубкулесов,вцеляхсозданияполей,или

выращиваниякаковолибосель-хоз.продукта.

Яличнопридерживаюсьгородскогоспособареализации.Так

какэтослужитсохранениюзеленогоучастка,иможет

потомучтоэтомояпривычкаиятакпривык.Хотяиногдав

кругумногихлюдейчувствуешьсебяодиноким.Новсе

равнообществахватает.

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Ниже приводится объяснение и демонстрация способа вычисления приблизительных оценок за публикуемый экзамен.Вы сможете вычислить приблизительную оценку за каждую из областей экзамена (словесное мышление, количественное мышление и английский язык), а также приблизительные оценки за экзамен в целом, которые вычисляются на основании оценок за три вышеупомянутые области.

Вычисление предварительных оценок за области экзаменаЗа каждый правильный ответ начисляется один балл. Для вычисления предварительной оценки следует сложить баллы, набранные вами в каждой из трех областей, входящих в экзамен (каждая область - количественное мышление, словесное мышление и английский язык - состоит из двух разделов). В результате будут получены три предварительные оценки: предварительная оценка за область словесного мышления, предварительная оценка за область количественного мышления, предварительная оценка за область английского языка.

Вычисление оценок за области экзаменаКаждой предварительной оценке соответствует оценка по единой шкале, на которую не влияют различия в вариантах, языках и датах экзамена. Вы сможете определить ваши оценки, воспользовавшись приведенной ниже таблицей перехода от предварительных оценок к оценкам за экзамен по единой шкале. По окончании данного этапа вы получите приблизительные оценки за три области экзамена (от 50 до 150):оценку за область словесного мышления (V)оценку за область количественного мышления (Q)оценку за область английского языка (Е)

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Таблица перехода от предварительных оценок к оценкам по единой шкале во всех областях экзамена

Предвари-тельная оценка

Оценки по единой шкале

Словес-ное

Количест-венное

Англий-ский

0 50 50 50

1 52 52 51

2 54 54 52

3 56 57 53

4 58 60 54

5 60 63 55

6 62 66 56

7 64 68 57

8 66 71 59

9 68 73 61

10 70 76 63

11 73 79 65

12 75 81 66

13 78 84 68

14 80 86 69

15 83 89 71

16 86 91 73



Словес-ное



17 88 93 76

18 91 96 78

19 93 98 81

20 96 100 83

21 99 103 85

22 101 105 88

23 104 108 90

24 106 110 93

25 109 113 95

26 112 115 97

27 114 118 100

28 117 120 102

29 119 123 105

30 122 125 107

31 125 127 110

32 128 130 112

33 131 132 115



Словес-ное



34 134 135 117

35 137 137 120

36 140 140 123

37 143 142 125

38 146 145 128

39 150 147 130

40 150 133

41 137

42 141

43 145

44 150

Вычисление приблизительных общих оценок, подробно представленное ниже, не принимает во внимание оценку за письменное задание. Вычисление базируется на предположении, что уровень способностей абитуриента, проявленный им в сочинении, соответствует уровню его способностей, продемонстрированных им в вопросах множественного выбора в области словесного мышления.

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Вычисление приблизительных общих оценок за экзамен

Для того чтобы приблизительно определить ваши общие оценки, вам следует сначала вычислить взвешенные средние оценки. При вычислении общей междисциплинарной оценки удельный вес оценок за области

словесного мышления и количественного мышления вдвое превышает удельный вес оценки за область английского языка. Таким образом, взвешенная средняя оценка вычисляется по формуле: V Q E

52 2+ +

При вычислении общей оценки словесного профиля удельный вес оценки за область словесного мышления в три раза превышает удельный вес оценки за другие области. Таким образом, взвешенная средняя оценка вычисляется по формуле: V Q E

53 + +

При вычислении общей оценки количественного профиля удельный вес оценки за область количественного мышления в три раза превышает удельный вес оценки за

другие области. Таким образом, взвешенная средняя оценка вычисляется по формуле: Q V E

53 + +

Для вычисления приблизительной общей оценки вам следует воспользоваться таблицей перехода от взвешенной средней оценки к общей оценке, которая приведена ниже. Данные таблицы сгруппированы по интервалам.

Таблица перехода от взвешенной средней оценки к приблизительной общей оценке

Взвешенная средняя оценка

Приблизительная общая оценка

Взвешенная средняя оценка

Приблизительная общая оценка

50 200 101-105 504-531

51-55 221-248 106-110 532-559

56-60 249-276 111-115 560-587

61-65 277-304 116-120 588-616

66-70 305-333 121 -125 617-644

71-75 334-361 126-130 645-672

76-80 362-389 131-135 673-701

81-85 390-418 136-140 702-729

86-90 419-446 141-145 730-761

91-95 447-474 146-149 762-795

96-100 475-503 150 800

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Образец вычисления приблизительной оценки

Предположим, что вы получили следующие предварительные оценки за области экзамена:30 правильных ответов в области словесного мышления (в обоих разделах).26 правильных ответов в области количественного мышления (в обоих разделах).25 правильный ответ в области английского языка (в обоих разделах).

На основании таблицы на предыдущей странице:ваша приблизительная оценка за область словесного мышления равна V=122Ваша приблизительная оценка за область количественного мышления равна Q = 115Ваша приблизительная оценка за область английского языка равна Е = 95

Вычисление взвешенных средних оценок показано в рамке ниже.

Взвешенная средняя междисциплинарная оценка составляет: 5

2 122 2 115 95 114$ $ =+ +^ ^h h

В приведенной на предыдущей странице таблице эта оценка располагается в интервале 111-115.

Таким образом, соответствующая ей общая оценка находится в интервале 560-587.

Взвешенная средняя оценка словесного профиля составляет: 5

3 122 115 95 115$ =+ +^ h



Взвешенная средняя оценка количественного профиля составляет: 5

3 115 122 95 112$ =+ +^ h



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Перевод оценки в проценты

Приведенная ниже таблица перевода интервалов в проценты поможет вам понять значение полученных вами оценок. Данные этой таблицы распределены по 17 категориям. Каждая категория соответствует определенному интервалу оценок. Для каждого интервала оценок приведен процент экзаменовавшихся, получивших более низкую оценку, процент получивших оценку в пределах данного интервала и процент получивших более высокую оценку. Например, общая оценка за экзамен 518 находится в интервале 500-524. Около 40% экзаменовавшихся получили оценку ниже данного интервала оценок, около 7% - оценку в пределах данного интервала, а около 53% - более высокую оценку.Деление на категории было произведено только для большей наглядности, и оно не отражает принципов приема студентов в какое-либо учебное заведение.Перевод оценки в проценты основывается на результатах всех людей, сдававших психометрический экзамен в последние годы.

Таблица перевода интервалов оценок в проценты

Интервал оценок

Процент экзаменовавшихся, чья оценка находится:

нижеинтервала

в пределахинтервала

вышеинтервала

200-349 0 6 94

350-374 6 4 90

375-399 10 5 85

400-424 15 5 80

425-449 20 6 74

450-474 26 7 67

475-499 33 7 60

500-524 40 7 53

525-549 47 7 46

550-574 54 7 39

575-599 61 7 32

600-624 68 8 24

625-649 76 7 17

650-674 83 6 11

675-699 89 5 6

700-724 94 3 3

725-800 97 3 0

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