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GCB{JVTNHBXTCRBQ "RPFVTY LKZ

CFVJCNJZNTKMYJUJ HTITYBZ

HECCRBQB/km 2011 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 2011 ujlf

Ckjdtcyjt vsiktybt> hfpltk gthdsq ....................................................... 2

Ckjdtcyjt vsiktybt> hfpltk dnjhjq ......................................................10

Rjkbxtcndtyyjt vsiktybt> hfpltk gthdsq ..........................................18

Rjkbxtcndtyyjt vsiktybt> hfpltk dnjhjq...........................................26

Fyukbqcrbq zpsr> hfpltk gthdsq .............................................................34

Fyukbqcrbq zpsr> hfpltk dnjhjq ..............................................................42

Rk/x dthys[ jndtnjd .....................................................................................50

Dsxbcktybt ghb,kbpbntkmyjq jwtyrb pf 'rpfvty ............................51

Лист ответов на вопросы разделов множественного выбора ........55

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 2011 ujlf


Ckjdtcyjt vsiktybt> hfpltk gthdsq

Ckjdtcyjt vsiktybtD 'njv hfpltkt 26 djghjcjd.Dhtvz yf htitybt - 25 vbyen.

D hfpltkt lfys hfpkbxyst rfntujhbb djghjcjd% ckjdf b dshf;tybz> fyfkjubb> ljgjkytybt ghtlkj;tybq> kjubrf b gjybvfybt ghjxbnfyyjuj. R rf;ljve djghjce ghtlkfuf/ncz xtnsht dfhbfynf jndtnf. Cktletn ds,hfnm yfb,jktt gjl[jlzobq dfhbfyn jndtnf yf rf;lsq djghjc b jnvtnbnm tuj yjvth d yflkt;fotv vtcnt yf kbcnt jndtnjd.

Ckjdf b dshf;tybz !djghjcs 1-4@

D cktle/ob[ djghjcf[ hfccvfnhbdf/ncz pyfxtybz ckjd b dshf;tybq. Dybvfntkmyj ghjxnbnt rf;lsq djghjc b jndtnmnt yf ytuj d cjjndtncndbb c nht,jdfybzvb.

1. Rfrjt bp ghbdtltyys[ yb;t ckjd yfbkexibv j,hfpjv ljgjkyztn cktle/ott ghtlkj;tybt*

Jyb dctulf cktljdfkb 'njq nhflbwbb. (1) cnhfcnyjq (2) ckfdyjq (3) cjukfcyjq (4) ltitdjq

2. Ckjdjv> ghjnbdjgjkj;ysv gj pyfxtyb/ ckjde crfhtlysq> zdkztncz%

(1) yfuksq (2) lj,hjleiysq (3) otlhsq (4) ,tpexfcnysq

3. Ckjdjv> ghjnbdjgjkj;ysv gj pyfxtyb/ ckjde ,tccht,htybr> zdkztncz%

(1) [fy;f (2) ltvfuju (3) rjhscnjk/,tw (4) ghjcnjk/lby

4. Pyfxtybtv ckjdf fentynbxysq zdkztncz%

(1) cfvjcnjzntkmysq (2) gjlkbyysq (3) ytjcjpyfyysq (4) vjyjnjyysq

- 3 - B/km 2011 ujlf



Fyfkjubb !djghjcs 5-10@

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.

5. cj,bhftn % hfp,hjcfyyst -

(1) xbybn % bcgjhxtyyst (2) hfpltdftn % j,yf;tyyst (3) ghtrkjyztncz % j,j;ftvst (4) jnltkztncz % lheubt

6. `<thtubcm^$ % ,tcgtxyjcnm -

(1) `Gjlj;lb^$ % nthgtybt (2) `Bpdbybcm^$ % jcrjh,ktybt (3) `Cnslbcm^$ % jce;ltybt (4) `Gjl,jlhbcm^$ % elhextyyjcnm

7. bpuyfybt % bpuyfyybr -

(1) rjhjyfwbz % rjhjkm (2) ltrkfhfwbz % ukfifnfq (3) dspljhjdktybt % ,jkmyjq (4) ghbpyfybt dbyjdysv % jghfdlfyysq

8. ker % rjkxfy -

(1) cfl % dfpf (2) cjkjvf % rjhveirf (3) rediby % ujyxfhysq rheu (4) gthj % xthybkmybwf

9. ghbye;ltyysq % ds,hfnm -

(1) pfjcnhtyysq % htpfnm (2) pfrhtgktyysq % ldbufnmcz (3) ljcnegysq % ghb,snm (4) jcnjhj;ysq % hbcrjdfnm

10. gjlcnhtrfk % gjjohzk -

(1) lhfpybk % j,b;fk (2) cnhjbk rjpyb % cnhjbk gkfys (3) ghjbuhsdfk % chf;fkcz (4) dyjcbk ekexitybz % dyjcbk bpvtytybz

- 4 - B/km 2011 ujlf



Ljgjkytybt ghtlkj;tybq !djghjcs 11-15@

D rf;ljv djghjct lfyj ghtlkj;tybt> d rjnjhjv yt [dfnftn ytcrjkmrb[ ckjd. Cktletn ljgjkybnm ghtlkj;tybt c gjvjom/ yfb,jktt gjl[jlzotq uheggs ckjd bp xtnsht[> lfyys[ gjckt ghtlkj;tybz.

11. Rjulf yf dtxthbyrt gj ckexf/ Gehbvf z pfvtnbk> xnj e vjtuj irjkmyjuj njdfhbof Bkmb ctlst djkjcs> edthty> xnj 'nb djkjcs tuj yfcnjzobvb djkjcfvb. Yj gjckt njuj rfr z dcgjvybk> xnj > vyt ghbikf d ujkjde vsckm> xnj> djpvj;yj> 'nb djkjcs

.

(1) z ,sk # zdkz/ncz kbim xfcnm/ tuj rjcn/vf> f yt # z yt dbltk tuj d ntxtybt ltcznb ktn # - 'nj tuj cj,cndtyyst djkjcs> rjnjhst gjctltkb (2) z ,sk # zdkz/ncz yt xfcnm/ tuj rjcn/vf> f # 'nf dtxthbyrf - rjcn/vbhjdfyyfz #

djdct yt rhfityst (3) z yt ,sk # gjrhfitys b yt zdkz/ncz # 'nf dtxthbyrf - rjcn/vbhjdfyyfz # - 'nj tuj

yfnehfkmyst djkjcs> rjnjhst gjctltkb (4) z yt ,sk # zdkz/ncz yt xfcnm/ tuj rjcn/vf> f # vs e;t yt vjkjls # - yt yfnehfkmyst>

f dsrhfityyst d ,tksq wdtn

12. Vb[fqkjd yt juhfybxbkcz kbim gthtdjljv cjxbytybq Ututkz> yj b cjghjdjlbk b[ yf dctv ghjnz;tybb ntrcnf rjvvtynfhbzvb. Rhbnbrf ujdjhbkf j tuj gthtdjlt% `Ytn hjps ,tp ibgjd$> nfr rfr lj,fdktyyst bv j,(zcytybz [jnz b > yj .

(1) cghfdtlkbdj # zdkz/ncz zcysvb b bcxthgsdf/obvb # dyjczn pyfxbntkmysq drkfl d

gjybvfybt ckj;ys[ bltq> cjlth;fob[cz d 'njq rybut (2) ytcghfdtlkbdj # ytj,[jlbvs lkz gjybvfybz ckj;yjuj ntrcnf # ghtlcnfdktys d

rfxtcndt tlbycndtyyj djpvj;yjuj njkrjdfybz> xnj yt cjjndtncndetn ltqcndbntkmyjcnb

(3) yt phz # hfp(zcyz/n nhelyst blbjvfnbxtcrbt dshf;tybz # gjcnjzyyj ghthsdf/n [jl fdnjhcrjq vsckb> ntv cfvsv hfphsdfz cdzpe/oe/ ybnm cvsckf ntrcnf

(4) yt phz # zdkz/ncz jxtym ghjcnhfyysvb b pfgenfyysvb # yt dyjczn ybrfrjuj drkflf d gjybvfybt rjyntrcnf> d rjnjhjv ,skf yfgbcfyf rybuf

13. Fkbr endth;lfk> xnj gjplybt gjcktgjkeltyyst xfcs lkz gkfdfybz gjl gfhecjv d pfkbdt Htyuj> gjnjve xnj d pfkbd ghjybrf/n dtnhs> cbkmyst lkz njuj> xnj,s gkfdfnm yf z[nt> .

(1) bltfkmys # d k/,jt lheujt dhtvz # ljcnfnjxyj # b nfrbv j,hfpjv gkfdfybt cnfyjdbncz jcj,tyyj ghbznysv dhtvzghjdj;ltybtv

(2) vtytt elj,ys # d 'nb xfcs # ckbirjv # b nfrbv j,hfpjv gkfdfybt cnfyjdbncz jcj,tyyj ghbznysv dhtvzghjdj;ltybtv

(3) bltfkmys # d 'nb xfcs # ljcnfnjxyj # yj> dvtcnt c ntv> yt cjplf/obt jgfcys[ djljdjhjnjd

(4) vtytt elj,ys # d lheujt dhtvz cenjr # ckbirjv # b nfrbv j,hfpjv gkfdfybt cnfyjdbncz jcj,tyyj geuf/obv b jgfcysv dhtvzghjdj;ltybtv

- 5 - B/km 2011 ujlf



14. flvbybcnhfnbdyjuj fggfhfnf gfhnbb> rjnjhsq dctulf ghjldb;tybt vfkjbpdtcnys[ rfylblfnjd> pfbynthtcjdfyys[ dcnegbnm d tt hzls> pfcnfdbkj vyjub[ ghtlgjkj;bnm> xnj ifycs gfhnbb lj,bnmcz ecgt[f yf ds,jhf[ > gjcrjkmre bpdtcnyj> xnj bp,bhfntkb .

(1) Jckf,ktybt # ,kjrbhjdfk # evtymibkbcm # jnhbwfntkmyj jnyjczncz r ytbpdtcnysv rfylblfnfv

(2) Ecbktybt # ,kjrbhjdfk # evtymibkbcm # ghtlgjxbnf/n bpdtcnys[ rfylblfnjd (3) Jckf,ktybt # j,tcgtxbdfk # rfr hfp edtkbxbkbcm # yt gbnf/n ljdthbz r bpdtcnysv

gjkbnbrfv (4) Ecbktybt # j,tcgtxbdfk # edtkbxbkbcm # ghtlgjxbnf/n bpdtcnys[ rfylblfnjd

15. Pjjkju Rhjyatkml > xnj gecnsyysq pfzw cdjtuj yfpdfybz. Gj tt ckjdfv> gecnsyyst pfqws d jnkbxf/ncz cdjqcndfvb> edtkbxbdf/obvb b[ ifycs yf ds;bdfybt d gecnsyt> dhjlt cgjcj,yjcnb yfrfgkbdfnm d jhufybpvt ,jkmibt pfgfcs djls.

(1) dscnegbkf ghjnbd nt[> rnj endth;lftn # yt ljcnjby # [jnz b yt hfcghjcnhfytys # gecnsyt> yj

(2) dscnegbkf ghjnbd nt[> rnj endth;lftn # ljcnjby # [jnz b ythtlrj dcnhtxf/ncz # gecnsyt> yj

(3) gjkfuftn # yt ljcnjby # yt hfcghjcnhfytys # gecnsyt b> ,jktt njuj>(4) gjkfuftn # ljcnjby # hfcghjcnhfytys # gecnsyt b> ,jktt njuj> yt

Kjubrf !djghjcs 16-20@

16. Cfif b Hbyf> pfdtle/obt vfufpbyjv [jpzqcndtyys[ bpltkbq> bynthdm/bhjdfkb rfylblfnjd yf ljk;yjcnm ghjlfdwf d b[ vfufpbyt. Gj jrjyxfybb bynthdm/ c jlybv bp rfylblfnjd Cfif crfpfk Hbyt% `"njn rfylblfn rf;tncz vyt xtcnjk/,bdsv gfhytv> b gj'njve z levf/> xnj cnjbn ghbyznm tuj yf hf,jne$. Yf 'nj Hbyf jndtnbkf% `Yt bp dczrjq gkjnyjq nrfyb vj;yj cibnm rhfcbdjt gfkmnj$.

Bp crfpfyyjuj Hbyjq cktletn> xnj> gj tt vytyb/> -

(1) 'njn rfylblfn yt zdkztncz xtcnjk/,bdsv (2) ceotcnde/n [jhjibt ghjlfdws> yt zdkz/obtcz xtcnjk/,bdsvb (3) xtcnjk/,bt - 'nj yt;tkfntkmyjt rfxtcndj e ghjlfdwf (4) ceotcnde/n xtcnjk/,bdst k/lb> rjnjhst yt vjuen ,snm [jhjibvb ghjlfdwfvb

17. Rf;lsq dtxth gtrfhm :fr ujnjdbn xtnsht dblf ktgtitr. Gjcrjkmre hfpkbxysv dblfv ntcnf nht,etncz hfpkbxyjt dhtvz lkz gjl(tvf> :fr yfxbyftn c ghbujnjdktybz j,sxys[ ktgtitr> pfntv gtht[jlbn r ghbujnjdktyb/ bhfrcrb[ ktgtitr> pfntv ujnjdbn cfvfhbqcrbt ktgtirb> b kbim d rjywt - lhepcrbt ktgtirb. Kbim gjckt 'njuj jy rkfltn dct ktgtirb d le[jdre> ghbxtv ltkftn 'nj d gjhzlrt> j,hfnyjv gjhzlre b[ ghbujnjdktybz.

Rfrjt bp cktle/ob[ cjxtnfybq yt vj;tn bvtnm vtcnf d gtrfhyt d jghtltktyysq vjvtyn dhtvtyb*

(1) Ytbcgtxtyyst bhfrcrbt ktgtirb yf cnjkt e gtrfhz b lhepcrbt ktgtirb d le[jdrt. (2) Ytbcgtxtyyst cfvfhbqcrbt ktgtirb yf cnjkt e gtrfhz b bhfrcrbt ktgtirb d

le[jdrt. (3) Ytbcgtxtyyst j,sxyst ktgtirb yf cnjkt e gtrfhz b lhepcrbt ktgtirb d le[jdrt. (4) Ytbcgtxtyyst j,sxyst ktgtirb yf cnjkt e gtrfhz b cfvfhbqcrbt ktgtirb d

le[jdrt.

- 6 - B/km 2011 ujlf



18. Lfyj% - Njkmrj yf rfatlht vepsrjdtltybz tcnm rehzobt. - Njkmrj rehzobt vjuen ,snm htdybwfvb. - Tcnm xt[b - htdybdws.

Rfrjq bp cktle/ob[ dsdjljd yt dsntrftn bp ghbdtltyys[ lfyys[*

(1) Tcnm rehzobt xt[b. (2) Njkmrj xt[b rehzn. (3) Ytn htdybdwf> rjnjhsq yt rehbn. (4) Yf rfatlht vepsrjdtltybz tcnm xt[b.

19. Lfyj% fdnjvj,bkmyfz rjvgfybz `Jvtuf$ t;tujlyj gjkexftn ,jkmit ;fkj, yf ltatrns d vfibyf[ tt ghjbpdjlcndf> xtv fdnjvj,bkmyfz rjvgfybz `Ltkmnf$.

Dsdjl% rjynhjkm pf rfxtcndjv d rjvgfybb `Ltkmnf$ cnhj;t> xtv rjynhjkm pf rfxtcndjv d rjvgfybb `Jvtuf$.

Rfrjt bp cktle/ob[ lfyys[ vj;tn gjlrhtgbnm 'njn dsdjl*

(1) Rjvgfybz `Ltkmnf$ ghjlftn ujhfplj vtymit vfiby> xtv rjvgfybz `Jvtuf$. (2) Rjvgfybz `Ltkmnf$ ghjlftn ujhfplj ,jkmit vfiby> xtv rjvgfybz `Jvtuf$. (3) Rjvgfybz `Jvtuf$ ghtljcnfdkztn rkbtyne> gj;fkjdfditvecz yf ltatrn d tuj

vfibyt> ,jktt rfxtcndtyyjt j,cke;bdfybt. (4) Rjvgfybz `Ltkmnf$ ghtljcnfdkztn rkbtyne> gj;fkjdfditvecz yf ltatrn d tuj

vfibyt> ,jktt rfxtcndtyyjt j,cke;bdfybt.

20. Tckb ,s 'njn ujl ,sk pfceikbdsv> nj nenjdst lthtdmz c,hjcbkb ,s cdjb kbcnmz d ctpjy> ghtlitcndjdfdibq ctpjye> d rjnjhsq jyb c,hjcbkb b[.

Tckb ,s nenjdst lthtdmz yt c,hjcbkb cdjb kbcnmz d njn ctpjy> d rjnjhsq jyb c,hjcbkb b[> nj uectybws nenjdjuj itkrjghzlf yt ecgtkb ,s ghtdhfnbnmcz d 'njv ujle d ,f,jxtr.

Rfrjt bp cktle/ob[ endth;ltybq zdkztncz ytdthysv*

(1) Tckb ,s 'njn ujl ,sk pfceikbdsv> nj uectybws nenjdjuj itkrjghzlf yt ghtdhfnbkbcm ,s d ,f,jxtr.

(2) Tckb ,s nenjdst lthtdmz c,hjcbkb cdjb kbcnmz d ctpjy> ghtlitcndjdfdibq ctpjye> d rjnjhsq jyb c,hjcbkb b[> nj ,skj ,s ,jkmit ,f,jxtr nenjdjuj itkrjghzlf.

(3) Uectybws nenjdjuj itkrjghzlf ghtdhfnbkbcm d 'njv ujle d ,f,jxtr. (4) Gjzdktybt ,f,jxtr nenjdjuj itkrjghzlf d 'njv ujle cdbltntkmcndetn j njv> xnj

'njn ujl yt ,sk pfceikbdsv.

- 7 - B/km 2011 ujlf



Gjybvfybt ghjxbnfyyjuj !djghjcs 21-26@Dybvfntkmyj ghjxnbnt cktle/obq jnhsdjr b jndtnmnt yf cktle/obt pf ybv djghjcs.

(1) Bvveyyfz htfrwbz pfoboftn ;bdjnys[ jn afrnjhjd> gjldthuf/ob[ b[ jgfcyjcnb> nfrb[ rfr ghjybrf/obt d b[ jhufybpv dhtlyst ,frnthbb> uhb,rb b dbhecs. Eckjdbtv 'njuj zdkztncz ecgtiyfz bltynbabrfwbz gjcnjhjyytuj ntkf. Bltynbabrfwbz dtotcndf d rfxtcndt fynbutyf> lheubvb ckjdfvb> d rfxtcndt xe;thjlyjuj b yt;tkfntkmyjuj lkz

(5) jhufybpvf dtotcndf> jceotcndkztncz ghb gjvjob [bvbxtcrjuj cdzpsdfybz vt;le ybv b ,tkrjv> yfpsdftvjv `fynbntkj$. Dcktl pf bltynbabrfwbtq fynbutyf yfxbyftncz wtgjxrf ltqcndbq> wtkm rjnjhjq pfrk/xftncz d elfktybb bkb ytqnhfkbpfwbb gjcnjhjyytuj ntkf. Lfyysq ghjwtcc jceotcndkztncz rktnrfvb bvveyyjq cbcntvs> rjnjhst gjcnegf/n r fynbutye xthtp rhjdjnjr. D [jlt ytuj rhjdtyjcyst cjcels hfcibhz/ncz> xnj

(10) cgjcj,cndetn gjdsityb/ 'aatrnbdyjcnb bvveyyjq cbcntvs. Dcktlcndbt 'njuj ghjwtccf> rfr ghfdbkj> djpybrftn djcgfktybt> [fhfrnthysvb ghbpyfrfvb rjnjhjuj

zdkz/ncz gjrhfcytybt> jntr> ,jkm b gjdsitybt ntvgthfnehs. Ceotcndetn hfpkbxbt vt;le ,jhm,jq cj pyfrjvsv `dhfujv$ b ,jhm,jq c yjdsv `dhfujv$. Ghb gthdjv ghjybryjdtybb ytpyfrjvjuj afrnjhf crjhjcnm htfrwbb bvveyyjq cbcntvs ybprf> nfr

(15) rfr rjkbxtcndj fynbntk> cgjcj,ys[ bltynbabwbhjdfnm 'njn fynbuty> ytdtkbrj. Jlyfrj gjckt njuj rfr jy ,sk dgthdst bltynbabwbhjdfy> fynbuty jcnfdkztn cktls d bvveyyjq gfvznb d dblt rktnjr> dshf,fnsdf/ob[ cgtwbabxtcrbt fynbntkf. Ghb gjdnjhyjv rjynfrnt c ntv ;t cfvsv afrnjhjv 'nb rktnrb ,scnhj hfpvyj;f/ncz> xnj ghb

gjcktle/ob[ dcnhtxf[ c ybv gjpdjkztn ujhfplj ,jktt ,scnhe/ bvveyye/ htfrwb/.(20) <kfujlfhz 'njq pfobnyjq htfrwbb> zdkz/otqcz jlyjq bp yjhvfkmys[ pfobnys[ htfrwbq

jhufybpvf> vs cgjcj,ys ds;bnm d jrhe;f/otq yfc chtlt. Jlyfrj dj vyjub[ ckexfz[> dcktlcndbt lj rjywf ytdszcytyys[ ghbxby> htfrwbb bvveyyjq cbcntvs yt njkmrj yt ghbyjczn gjkmps> yj lf;t ghbxbyz/n dhtl. Hfcghjcnhfytyysv ghbvthjv 'njuj zdkztncz fkkthubz.

(25) Nthvby `fkkthubz$ ghjbc[jlbn bp lhtdytuhtxtcrjuj zpsrf. D gthtdjlt yf heccrbq jy jpyfxftn `lheufz htfrwbz$. "njn nthvby ddtk fdcnhbqcrbq gtlbfnh d ltdznyflwfnjv dtrt.

Fkkthubxtcrfz htfrwbz ghtlcnfdkztn cj,jq xhtpvthye/ xedcndbntkmyjcnm bvveyyjq cbcntvs> rjnjhfz htfubhetn c ghtedtkbxtyyjq cbkjq yf gjgflfybt d jhufybpv jghtltktyyjuj xe;thjlyjuj dtotcndf> yfpsdftvjuj `fkkthuty$. D ,jkmibycndt ckexftd

(30) fkkthuty cfv gj ct,t yt ghtlcnfdkztn jgfcyjcnb lkz jhufybpvf> b> cfvjt ,jkmitt> cgjcj,ty ghbxbybnm tve kbim ytpyfxbntkmysq dhtl. Fkkthuty - 'nj dtotcndj> cjcnjzott

bp ,tkrf bkb bp ,tkrf> [bvbxtcrb cdzpfyyjuj c lheubv dtotcndjv. Hfcghjcnhfytyyst fkkthutys ghbcencnde/n> yfghbvth> d gskmwt wdtnjd> d ljvfiytq gskb b d gth[jnb ;bdjnys[.

(35) Bccktljdfntkb ecnfyjdbkb> xnj crkjyyjcnm r fkkthubb zdkztncz yfcktlcndtyyjq b xnj fkkthubxtcrfz htfrwbz yf jghtltktyyjt dtotcndj j,eckjdktyf ghtlitcnde/obv

rjynfrnjv c 'nbv dtotcndjv. E xtkjdtrf> cnhflf/otuj fkkthubtq> gjckt gthdjuj rjynfrnf c jghtltktyysv xe;thjlysv dtotcndjv> djpybrf/n rktnrb bvveyyjq gfvznb> cgjcj,yst dshf,fnsdfnm fynbntkf nbgf IgE !fynbntkf> [fhfrnthyst lkz fkkthubxtcrjq

(40) htfrwbb@> rjnjhst cjjndtncnde/n njkmrj lfyyjve rjyrhtnyjve xe;thjlyjve dtotcnde. Ghb gjdnjhyjv rjynfrnt 'nb rktnrb yfxbyf/n ltqcndjdfnm> dshf,fnsdfz pyfxbntkmyjt

rjkbxtcndj fynbntk 'njuj nbgf. Fkkthuty cdzpsdftncz c vjktrekfvb IgE> dcktlcndbt xtuj rktnrb> jnyjczobtcz r bvveyyjq cbcntvt> dsltkz/n ubcnfvby b lheubt dtotcndf. "nb dtotcndf> ecbktyyj dshf,fnsdf/obtcz d [jlt fkkthubxtcrjq htfrwbb> dspsdf/n

(45) hfpkbxyst abpbjkjubxtcrbt zdktybz> d xfcnyjcnb> hfcibhtybt rhjdtyjcys[ cjceljd b gjdsitybt b[ ghjybwftvjcnb> xnj ghbdjlbn r jntre b gjrhfcytyb/. D lheub[ ckexfz[

dsltkztvst dtotcndf ghbdjlzn r ce;tyb/ ls[fntkmys[ gentq> xnj vj;tn gthtqnb d ghbcneg fcnvs. Jcj,tyyj cbkmyfz fkkthubxtcrfz htfrwbz - cjcnjzybt> rjnjhjt yfpsdf/n `fyfabkfrnbxtcrbv ijrjv$> - vj;tn pfrjyxbnmcz cvthnm/ gfwbtynf> gjlj,yj njve rfr

(50) 'nj ghjbpjikj jrjkj gznb nsczx ktn yfpfl c jlybv bp ghfdbdib[ d Tubgnt afhfjyjd cgecnz ytrjkmrj vbyen gjckt njuj> rfr tuj e;fkbkf jcf.

- 8 - B/km 2011 ujlf



Djghjcs

21. Bp ghbdtltyyjuj jnhsdrf cktletn> xnj jgbcfyyfz d gthdjv f,pfwt bvveyyfz htfrwbz yt -

(1) ghbyjcbn gjkmps b lf;t cgjcj,yf yfytcnb dhtl (2) dspsdftn hfcibhtybt rhjdtyjcys[ cjceljd yf exfcnrt> yf rjnjhsq gjgfk fynbuty

(3) zdkztncz ,scnhjq> rjulf gjcnjhjyytt ntkj jrfpfkjcm yjdsv b ytpyfrjvsv (4) vj;tn dspdfnm djcgfktybt

22. Ghb fenjbvveyys[ pf,jktdfybz[ bvveyyfz cbcntvf ltqcndetn ghjnbd rktnjr cdjtuj jhufybpvf> rfr ,elnj jyb zdkz/ncz fynbutyfvb.

J,obv vt;le 'njq htfrwbtq b fkkthubxtcrjq htfrwbtq zdkztncz njn afrn> xnj j,t jyb -

(1) ltvjycnhbhe/n> rfrbv j,hfpjv vs vj;tv ds;bnm dj dytiytq chtlt (2) cke;fn ghbvthjv dhtlyjq bvveyyjq htfrwbb (3) cdzpfys c ,jhm,jq ghjnbd `pyfrjvjuj dhfuf$ (4) ltvjycnhbhe/n hfpkbxbt vt;le ,jhm,jq ghjnbd `pyfrjvjuj dhfuf$ b ,jhm,jq

ghjnbd `yjdjuj dhfuf$

23. Cjukfcyj jnhsdre> xnj j,otuj vt;le fynbutyjv b fkkthutyjv*

(1) Jyb j,f zdkz/ncz xe;thjlysvb lkz jhufybpvf dtotcndfvb. (2) Jyb j,f zdkz/ncz jgfcysvb lkz jhufybpvf dtotcndfvb. (3) Jyb j,f dspsdf/n xhtpvthye/ htfrwb/ bvveyyjq cbcntvs. (4) Jyb j,f dspsdf/n htfrwb/ bvveyyjq cbcntvs kbim njulf> rjulf jhufybpv

dnjhbxyj rjynfrnbhetn c ybvb.

24. Fyyf yt cnhflftn fkkthubtq yf rjitr. Xnj vj;yj c edthtyyjcnm/ crfpfnm j ytq*

(1) Jyf yt j,kflftn yfcktlcndtyyjq crkjyyjcnm/ r fkkthubb. (2) D tt jhufybpvt yt dshf,jnfkbcm fynbntkf IgE d jndtn yf rjynfrn c rjirfvb. (3) Jyf ybrjulf yt rjynfrnbhjdfkf c rjirfvb. (4) Tt bvveyyfz cbcntvf ltqcndetn yjhvfkmysv j,hfpjv.

25. L-he Gfdkjde yt elfdfkjcm lbfuyjcnbhjdfnm jghtltktyyjt vtlbwbycrjt zdktybt b htibnm> bltn kb htxm j yjhvfkmyjq bvveyyjq htfrwbb bkb j, fkkthubxtcrjq htfrwbb.

Cjukfcyj jnhsdre> rfrjt bp cktle/ob[ lfyys[ yt gjvj;tn tve ghbyznm htitybt d gjkmpe jlyjq bp 'nb[ djpvj;yjcntq*

(1) Dscjrbq ehjdtym fynbntk nbgf IgE. (2) Dscjrfz rjywtynhfwbz ubcnfvbyf d rhjdb. (3) Jntr b gjrhfcytybt rj;b. (4) Ghbcencndbt hfcghjcnhfytyyjuj dbhecf.

26. Cjukfcyj jnhsdre> ubgjntpf j njv> xnj erec jcs dspdfk fkkthubxtcre/ htfrwb/> nht,etn ghtlgjkj;bnm> xnj -

(1) fyfabkfrnbxtcrjve ijre ghtlitcndjdfkj hfcibhtybt rhjdtyjcys[ cjceljd (2) bvveyyfz cbcntvf tubgtncrjuj ghfdbntkz djdhtvz yt bltynbabwbhjdfkf

gjcnjhjyytt ntkj (3) d ghjikjv tubgtncrjuj ghfdbntkz e;t ;fkbkf jcf (4) tubgtncrbq ghfdbntkm ,sk cbkmysv b pljhjdsv xtkjdtrjv

- 9 - B/km 2011 ujlf



Gecnfz cnhfybwf

- 10 - B/km 2011 ujlf


Ckjdtcyjt vsiktybt> hfpltk dnjhjq

Ckjdtcyjt vsiktybtD 'njv hfpltkt 26 djghjcjd.Dhtvz yf htitybt - 25 vbyen.

D hfpltkt lfys hfpkbxyst rfntujhbb djghjcjd% ckjdf b dshf;tybz> fyfkjubb> ljgjkytybt ghtlkj;tybq> kjubrf b gjybvfybt ghjxbnfyyjuj. R rf;ljve djghjce ghtlkfuf/ncz xtnsht dfhbfynf jndtnf. Cktletn ds,hfnm yfb,jktt gjl[jlzobq dfhbfyn jndtnf yf rf;lsq djghjc b jnvtnbnm tuj yjvth d yflkt;fotv vtcnt yf kbcnt jndtnjd.

Ckjdf b dshf;tybz !djghjcs 1-4@

D cktle/ob[ djghjcf[ hfccvfnhbdf/ncz pyfxtybz ckjd b dshf;tybq. Dybvfntkmyj ghjxnbnt rf;lsq djghjc b jndtnmnt yf ytuj d cjjndtncndbb c nht,jdfybzvb.

1. Rfrjt bp ghbdtltyys[ yb;t ckjd ljgjkyztn lfyyjt ghtlkj;tybt yfbkexibv j,hfpjv*

Jntw vjq djccnfk ghjnbd dkfcnb ltlf b d itcnyflwfnm ktn eitk bp ljvf.

(1) pfrjcntytkjq (2) uhjntcryjq (3) atthbxtcrjq (4) ltcgjnbxtcrjq

2. Pyfxtybtv dshf;tybz pflfnm cnhtrfxf zdkztncz%

(1) jnheufnm (2) dsgjhjnm (3) e,t;fnm (4) ghj,jknfnmcz

3. D rfrjv bp cktle/ob[ ghtlkj;tybq dsltktyyjt ckjdj yfbkexibv j,hfpjv cjjndtncndetn rjyntrcne*

(1) Ytj,[jlbvj ekexibnm rjycjkblfwb/ vt;le jnltkmysvb cjnhelybrfvb. (2) "nf ;blrjcnm j,kflftn dzprjq rjycjkblfwbtq. (3) Cjcnfdktybt yjdjq rjycjkblfwbb pfqvtn dc/ cktle/oe/ ytltk/. (4) Rjycjkblfwbz yfwbq zdkztncz df;ysv bcnjhbxtcrbv ghjwtccjv.

4. D rfrjv bp cktle/ob[ ghtlkj;tybq dsltktyyjt ;bhysv ihbanjv ckjdj yfbkexibv j,hfpjv jndtxftn cvscke crfpfyyjuj*

(1) Wtyf ytjabnjd yf ajyljdjv hsyrt yfxfkf gflfnm> b vs htibkb> xnj ye;yj b[ gj,scnhtt ghjlfnm.

(2) Jn vjoys[ ytjabnjd bc[jlbk cbkmysq ;fh. (3) Rfr dczrbq ytjabn> jy jnyjcbkcz r cdjbv ,sdibv tlbyjdthwfv c afyfnbxyjq

ytnthgbvjcnm/. (4) Rtqy gjlfhbk cdjtq ytdtcnt pjkjnjt rjkmwj c ytjabnjv.

- 11 - B/km 2011 ujlf



Fyfkjubb !djghjcs 5-10@

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.

5. j,hfpjdfyysq % j,hfpjdfybt -

(1) ,jufnsq % rfgbnfk (2) cbvdjkbxtcrbq % cbvdjk (3) 'gbrehttw % eljdjkmcndbt (4) k;tw % kj;m

6. dsvjnfk % ,sk enjvkty -

(1) j,vfyek % ,sk ddtlty d pf,ke;ltybt (2) eybpbk % ,sk djpdtkbxty (3) dsitk % jnghfdbkcz d genm (4) cntcyzkcz % cnfk j,(trnjv yfcvtitr

7. jcyfotybt % gjlujnjdrf -

(1) gtxtybt % ;fhtybt (2) vsnmt % e,jhrf (3) gjctd % ;fndf (4) pfcsgfybt % cjy

8. cdfhtyysq % gjlujhtk -

(1) gjkbnsq % pfcj[ (2) ghtcktletvsq % c[dfxty (3) yfpyfxtyysq % edjkty (4) hfcnzyensq % kjgyek

9. c;fnm % j,(tv -

(1) ,snm ghfdsv % ytcghfdtlkbdjcnm (2) hfwbjyfkbpbhjdfnm % yt'aatrnbdyjcnm (3) pfnevfybnm % ytzcyjcnm (4) jnrfpfnm % yt;tkfybt

10. vfkzh % [elj;ybr -

(1) gj'n % rjvgjpbnjh (2) nrfx % gjhnyjq (3) cnhjbntkm % fh[bntrnjh (4) rfvtyjntc % crekmgnjh

- 12 - B/km 2011 ujlf



Ljgjkytybt ghtlkj;tybq !djghjcs 11-15@

D rf;ljv djghjct lfyj ghtlkj;tybt> d rjnjhjv yt [dfnftn ytcrjkmrb[ ckjd. Cktletn ljgjkybnm ghtlkj;tybt c gjvjom/ yfb,jktt gjl[jlzotq uheggs ckjd bp xtnsht[> lfyys[ gjckt ghtlkj;tybz.

11. Bujhm ytckexfqyj ghbj,htk htgenfwb/ xtkjdtrf> rjnjhsq evtk bcgjkmpjdfnm ghtlcnfdkzdibtcz tve djpvj;yjcnb. > rjulf jy j,(zdbk j cdjtv htitybb pfvfyxbdjt ghtlkj;tybt j hf,jnt> rjnjhjt ,skj cltkfyj tve> .

(1) dctulf # Ytcvjnhz yf 'nj # ghbyznm # ybrnj bp tuj lheptq yt elbdbkcz (2) ybrjulf yt # Gj'njve # jndthuyenm # dct tuj lhepmz ,skb elbdktys (3) ybrjulf yt # Gj'njve # ghbyznm # dct tuj lhepmz ,skb elbdktys (4) ybrjulf yt # Ytcvjnhz yf 'nj # jndthuyenm # ybrnj bp tuj lheptq yt elbdbkcz

12. Ytdjpvj;yj j,(zcybnm j ;bpyb Vjwfhnf> yt ghbpyfd> xnj bvttn vtcnj cfvjuj Vjwfhnf> .

(1) evtymitybt gjgekzhyjcnb abkmvf `Djkmaufyu$> hfccrfpsdf/otuj # htprfz rhbnbrf d jnyjitybb kbxyjcnb # ytcvjnhz yf nj xnj cbvgfnbz r ytve ghjljk;ftn jckf,tdfnm

(2) rjkjccfkmye/ gjgekzhyjcnm abkmvf `Djkmaufyu$> hfccrfpsdf/otuj # juhjvysq bynthtc r kbxyjcnb # f nfr;t r 'gj[t> d rjnjhe/ jy ;bk

(3) jnhbwfntkmyjt vytybt ge,kbrb j abkmvt `Djkmaufyu$> hfccrfpsdf/otv # cktgjt djc[botybt kbxyjcnm/ # rjnjhsq bpj,hf;ty d abkmvt pfvtxfntkmysv xtkjdtrjv

(4) njn afrn> xnj ge,kbrf j,[jlbkf cnjhjyjq ctfycs abkmvf `Djkmaufyu$> hfccrfpsdf/otuj # hfdyjleibt d jnyjitybb kbxyjcnb # f nfr;t gjnht,yjcnm

pfybvfnmcz t/

13. Rfnz bpdtcnyf rfr xtkjdtr> htprj rhbnbre/obq j,otcndtyys[ ltzntktq> lkz rjnjhs[ [fhfrnthys cjvybntkmyst yhfdcndtyyst yjhvs. Gj'njve kjubxyj ghtlgjkj;bnm> xnj

cnfkj bpdtcnyj> xnj pfvtify d rjhhegwbjyyjv crfylfkt> ghjbpjitlitv d gthbjl tuj ght,sdfybz yf gjcne> nj> crjhtt dctuj> jyf cdjtuj vytybz j ytv.

(1) tckb ,s tq # Uhby yt ,sk # yt jnrfpfkfcm ,s jn # jnhbwfntkmyjuj (2) tckb ,s tq # c Uhbyf cyzns gjljphtybz d njv> xnj jy ,sk # ,jktt yt ghblth;bdfkfcm

,s # gjkj;bntkmyjuj (3) tckb ,s tq # Uhby ,sk # yt ghjljk;fkf ,s ghblth;bdfnmcz # gjkj;bntkmyjuj (4) tckb ,s tq yt # c Uhbyf cyzns gjljphtybz d njv> xnj jy ,sk # ,jktt yt

ghblth;bdfkfcm ,s # jnhbwfntkmyjuj

14. Rehw b Rj'y - gjkbnbxtcrbt ghjnbdybrb> b[ gjpbwbb d jnyjitybb yjdjuj pfrjyf % d [jlt lbcreccbb yf pfctlfybb gfhkfvtynf ghtljcntht;tybz Rehwf j, jgfcyjcnz[>

nfzob[cz d 'njv pfrjyt> dspdfkb htfrwb/ cj cnjhjys Rj'yf> rjnjhsq lf;t ghbdtk 'njuj pfrjyf.

(1) yj> dvtcnt c ntv> # ,kbprb # ghtyt,ht;bntkmye/ # ljgjkybntkmyst ljdjls d gjkmpe (2) b gj'njve ytelbdbntkmyj> xnj # ghjnbdjgjkj;ys # ghtyt,ht;bntkmye/ # ljdjls

ghjnbd (3) yj> ytcvjnhz yf 'nj> # ,kbprb # jlj,hbntkmye/ # ljgjkybntkmyst ljdjls ghjnbd (4) b gj'njve ytelbdbntkmyj> xnj # ghjnbdjgjkj;ys # jlj,hbntkmye/ # ljgjkybntkmyst

ljdjls d gjkmpe

- 13 - B/km 2011 ujlf



15. ` gthbjls> rjulf vyt yt lf/n gjrjz gjdctlytdyst pf,jns$> - crfpfkf rfr-nj gbcfntkmybwf Ithkbyf. Z> d jnkbxbt jn ytt> e,t;lf/cm d njv> xnj vjt ndjhxtcndj

rfr hfp d nt gthbjls> rjulf > gjnjve xnj njulf .

(1) Z vyjuj gbie> d jcyjdyjv> d # yfb,jktt gkjljndjhyj # vjz ;bpym ghjntrftn cgjrjqyj # ybxnj yt dlj[yjdkztn vtyz gbcfnm (2) Z djj,ot yt cgjcj,yf gbcfnm d # yfbvtytt gkjljndjhyj # dct ghjntrftn cgjrjqyj #

vyt gjghjcne yt j xtv gbcfnm (3) Ntvgs vjtuj gbcmvf ,sdf/n cfvsvb dscjrbvb d # yfbvtytt gkjljndjhyj # d vjtq

;bpyb wfhbn [fjc # k/,jt cfvjt ytpyfxbntkmyjt cj,snbt zdkztncz gjdjljv lkz njuj> xnj,s gbcfnm

(4) Vyt nhelyj gbcfnm d # yfb,jktt gkjljndjhyj # ybxnj yt nhtdj;bn vjq gjrjq # gjdctlytdyst gtht;bdfybz dlj[yjdkz/n vtyz gbcfnm

Kjubrf !djghjcs 16-20@

16. `Z yt hfphtif/ vjtve csye cvjnhtnm ntktdbpjh> gjnjve xnj z yt [jxe> xnj,s jy nhfnbk dhtvz yf ghjcvjnh vskmys[ jgth$> - hfccrfpfk Bjcba cdjtve lheue "lefhle. Njn d jndtn cghjcbk tuj% `Ns pfghtnbk ,s cdjtve csye ujdjhbnm> gjnjve xnj ns yt [jxtim> xnj,s jy ujdjhbk uhe,jcnb$*

D cdjtv jndtnt "lefhl egjlj,bk -

(1) htxm vskmyjq jgtht (2) uhe,e/ htxm ghjcvjnhe ntktdbpbjyys[ ghjuhfvv (3) htxm dhtvtyb> rjnjhsv hfcgjkfuftn csy Bjcbaf (4) htxm ghjcvjnhe ntktdbpbjyys[ ghjuhfvv

17. Uhbif> Fylhtq b Hjvf - nhjt lheptq. Bpdtcnyj> xnj Uhbif b Fylhtq dctulf ujdjhzn ghfdle> f Hjvf dctulf k;tn.

Ldjt bp nht[ 'nb[ lheptq dcnhtnbkbcm> b jlby bp yb[ crfpfk lheujve% `Ns dctulf k;tim$.

Rfrjd vju ,snm jndtn tuj lheuf*

(1) `Dthyj$. (2) `F ns dctulf ujdjhbim ghfdle$. (3) `Yfi nhtnbq lheu> rjytxyj> cjukfcbkcz ,s c nj,jq$. (4) `Yfi nhtnbq lheu crfpfk ,s> xnj z ujdjh/ ghfdle$.

18. Ctcnhs "lkfql yjczn yf itt wtgjxre njkmrj d njv ckexft> tckb jyb nfr;t yjczn ,hfcktn yf hert.

<hfnmz Ejncjy e[f;bdf/n pf ctcnhfvb "lkfql> tckb jyb yjczn ,hfcktn yf hert bkb rjkmwj yf gfkmwt> yj yt njulf> rjulf jyb yjczn j,f 'nb erhfitybz dvtcnt.

Rfrjt bp cktle/ob[ gjkj;tybq ytdjpvj;yj*

(1) Jlyf bp ctcnth "lkfql jlyjdhtvtyyj yjcbn wtgjxre yf itt> ,hfcktn yf hert b rjkmwj yf gfkmwt.

(2) Jlby bp ,hfnmtd Ejncjy e[f;bdftn pf jlyjq bp ctcnth "lkfql> rjnjhfz yjcbn wtgjxre yf itt b rjkmwj yf gfkmwt.

(3) Jlby bp ,hfnmtd Ejncjy e[f;bdftn pf jlyjq bp ctcnth "lkfql> rjnjhfz yjcbn rjkmwj yf gfkmwt.

(4) Jlby bp ,hfnmtd Ejncjy e[f;bdftn pf jlyjq bp ctcnth "lkfql> rjnjhfz yt yjcbn wtgjxre yf itt.

- 14 - B/km 2011 ujlf



19. Endth;ltybt F% Ytn kjifltq> rjnjhst ujdjhzn yf kfnsyb. Endth;ltybt <% Dct> rnj yt ujdjhbn yf kfnsyb> zdkz/ncz kjiflmvb. Dsdjl% Tckb Cjkjvjy ujdjhbn yf kfnsyb> nj> cktljdfntkmyj> jy yt zdkztncz kjiflm/.

"njn dsdjl cktletn -

(1) bp endth;ltybz F> yj yt bp endth;ltybz < (2) bp endth;ltybz <> yj yt bp endth;ltybz F (3) bp rf;ljuj bp 'nb[ endth;ltybq d jnltkmyjcnb (4) njkmrj bp cjxtnfybz 'nb[ endth;ltybq

20. Dhfx hfqjyyjq gjkbrkbybrb l-h Ijrbyf [jntkf bpexbnm ubgjntpe> cjukfcyj rjnjhjq hf,jnf/obt gjcvtyyj k/lb> ghj;bdf/obt d 'njv hfqjyt> xfot cnhflf/n yfheitybzvb cyf> xtv lheubt ;bntkb 'njuj hfqjyf. Lkz 'njuj jyf htibkf ghjdthbnm> ,eltn kb ghjwtyn

hf,jnf/ob[ gjcvtyyj k/ltq chtlb j,hfof/ob[cz d gjkbrkbybre d cdzpb c yfheitybzvb cyf dsit> xtv b[ ghjwtyn chtlb dct[ ;bntktq hfqjyf.

Tt rjkktuf l-h Zukjv endth;lfk> xnj d hfqjyt ghj;bdf/n hf,jnf/obt gjcvtyyj k/lb> rjnjhst yt pyf/n j djpvj;yjcnb j,hfnbnmcz pf gjvjom/ d gjkbrkbybre.

Ghb eckjdbb> xnj l-h Zukjv ghfd> tckb lfyyjt bccktljdfybt gjrf;tn> xnj ghjwtyn hf,jnf/ob[ gjcvtyyj k/ltq chtlb j,hfof/ob[cz d gjkbrkbybre d cdzpb c yfheitybzvb cyf hf,jnf/ob[ gjcvtyyj k/ltq chtlb dct[ ;bntktq hfqjyf> nj htpekmnfns 'njuj bccktljdfybz ubgjntpe l-hf Ijrbyjq.

(1) hfdty ghjwtyne # gjlrhtgzn (2) hfdty ghjwtyne # jckf,zn (3) yb;t ghjwtynf # gjlrhtgzn (4) dsit ghjwtynf # jckf,zn

Gjybvfybt ghjxbnfyyjuj !djghjcs 21-26@Dybvfntkmyj ghjxnbnt cktle/obq jnhsdjr b jndtnmnt yf cktle/obt pf ybv djghjcs.

(1) Rfhnf> j,yfhe;tyyfz d 1965 ujle bccktljdfntkzvb bp Qtkmcrjuj eybdthcbntnf> cxbnftncz vyjubvb bcnjhbrfvb ljrfpfntkmcndjv njuj> xnj crfylbyfdcrbt gentitcndtyybrb ljcnbukb fvthbrfycrjuj rjynbytynf pf cjnyb ktn lj Rjkev,f. Yf 'njq rfhnt bpj,hf;tys Tdhjgf> Fpbz b Fahbrf> f nfr;t vtcnj gjl yfpdfybtv Dbykfylbz>

(5) hfcgjkj;tyyjt gj lheue/ cnjhjye Fnkfynbxtcrjuj jrtfyf. "nf byajhvfwbz

- 15 - B/km 2011 ujlf



cjjndtncndetn crfylbyfdcrjq ktutylt j dbrbyut Ktqat "hbrccjyt> rjnjhsq jrjkj 1000 ujlf y. '. ljcnbu ,thtujd rjynbytynf> ctujlyz bpdtcnyjuj rfr Fvthbrf> b yfpdfk tuj `Dbykfylbtq$> cnhfyjq dbyf> bp-pf ,jkmijuj rjkbxtcndf hjcituj nfv dbyjuhflf. Jlyfrj gjlkbyyjcnm 'njq rfhns dspsdftn cjvytybz> gjcrjkmre gthdjt ljrevtynbhjdfyyjt

(10) egjvbyfybt j ytq jnyjcbncz r 1958 ujle - cgecnz vyjuj ktn gjckt 1492 ujlf> d rjnjhjv> rfr ghbyznj cxbnfnm> Rjkev, jnrhsk Fvthbre.

Ljrfpfntkmcndj njuj> xnj 'nf rfhnf ltqcndbntkmyj zdkztncz gjlkbyyjq> ,skj ghtlcnfdktyj bccktljdfntkmybwtq :frkby Jkby. Jkby lfnbhjdfkf gthufvtyn> yf rjnjhjv yfhbcjdfyf rfhnf> b ghbikf r dsdjle j njv> xnj irehe> bp rjnjhjq tuj

(15) bpujnjdbkb> cyzkb c ;bdjnyjuj tot d 1434 ujle !jib,rf d lfnbhjdrt> rjnjhe/ ljgecrftn vtnjl> bcgjkmpjdfyysq Jkby> jwtybdftncz ghb,kbpbntkmyj d 11 ktn@. C lheujq cnjhjys> bccktljdfntkb Hj,by Rkfhr b R'nhby <hfey pfzdbkb> xnj jyb hfcgjkfuf/n ljrfpfntkmcndjv njuj> xnj 'nf rfhnf ghtlcnfdkztn cj,jq bcrecye/ gjlltkre. Jyb djcgjkmpjdfkbcm jcj,sv vtnjljv lkz j,yfhe;tybz cdbltntkmcnd ghbcencndbz dtotcndf

(20) gjl yfpdfybtv `fyfnfp$ d xthybkf[ yf gthufvtynt. Yfcrjkmrj bpdtcnyj> xtkjdtxtcndj yt hfcgjkfufkj pyfybzvb> ytj,[jlbvsvb lkz ghjbpdjlcndf fyfnfpf> rjnjhsq gjkexf/n bp lbjrcblf nbnfyf> dgkjnm lj 20-[ ujljd ldflwfnjuj dtrf. D [jlt ghjdthrb j,yfhe;bkjcm> xnj xthybkf> rjnjhsvb ,skf yfhbcjdfyf rfhnf> ltqcndbntkmyj cjlth;fn fyfnfp.

Nhb hfpkbxys[ j,(zcytybz gjpdjkz/n ecnhfybnm ghjnbdjhtxbt vt;le lfyysvb Jkby(25) b lfyysvb Rkfhrf b <hfey. Cjukfcyj gthdjve bp yb[> htxm ltqcndbntkmyj bltn j

gjlltkrt% rfhne yfhbcjdfkb d ldflwfnjv dtrt yf lhtdytv gthfuvtynt. Dnjhjt j,(zcytybt> dthjznyjcnm cghfdtlkbdjcnb rjnjhjuj ytdscjrf> ujdjhbn j njv> xnj fyfnfp> rjnjhsq ctujlyz gjkexf/n bcreccndtyysv gentv> vju j,hfpjdfnmcz b d [jlt tcntcndtyyjuj ghjwtccf> pfybvf/otuj cjnyb ktn. Cjukfcyj nhtnmtve djpvj;yjve j,(zcytyb/> djghtrb

(30) hfcghjcnhfytyyjve vytyb/> fyfnfp yt zdkztncz cjdhtvtyysv bpj,htntybtv> b tuj evtkb gjkexfnm e;t d Chtlybt Dtrf.

Cgjhs j njv> rnj bvtyyj bp tdhjgtqwtd gthdsv ljcnbu Fvthbrb> cdzpfys yt njkmrj c rfhnjq Dbykfylbb. Ceotcnde/n b lheubt cdbltntkmcndf> gbnf/obt 'ne gjktvbre. Ght;lt dctuj> bvttncz fh[tjkjubxtcrfz yf[jlrf> ujdjhzofz j ceotcndjdfybb gj vtymitq

(35) vtht jlyjuj crfylbyfdcrjuj gjctktybz d Ym/afeylktylt> yj tuj lfnbhjdrf zdkztncz cgjhyjq. Gjvbvj 'njuj> d infnt V'qy ,skf yfqltyf crfylbyfdcrfz vjytnf yfxfkf gznyflwfnjuj dtrf. Ytrjnjhst gjkfuf/n> xnj jyf yt dscrjkmpyekf bp her ytfrrehfnyjuj crfylbyfdf> rfr vj;yj ,skj ,s gjlevfnm> yj gjgfkf nelf d hfvrf[ njhujds[ cdzptq d ,jktt gjplybq gthbjl. Df;yj jnvtnbnm> xnj bvtyyj crfylbyfds jnrhskb jcnhjd

(40) Uhtykfylbz> rjnjhsq ,kb;t r fvthbrfycrjve rjynbytyne> xtv r tdhjgtqcrjve. Jnrhsnbt 'njuj jcnhjdf cjcnjzkjcm e;t d ltdznjv dtrt> b d ltcznjv dtrt jcnhjd ,sk pfctkty. Jlyfrj 'njuj ytljcnfnjxyj lkz njuj> xnj,s endth;lfnm> xnj nt ;t cfvst crfylbyfds ljcnbukb b cfvjuj fvthbrfycrjuj rjynbytynf. Dvtcnt c ntv> cktletn gjvybnm> xnj bcnjhbxtcrbt bccktljdfybz> ghbgbcsdf/obt jnrhsnbt Fvthbrb Rjkev,e d 1492

(45) ujle> jgbhf/ncz yf byajhvfwb/ j tuj gentitcndbz[ gj hfqjyfv> hfcgjkj;tyysv njkmrj gj,kbpjcnb jn Fvthbrb. Yfcrjkmrj bpdtcnyj> Rjkev, dgthdst ghb,sk yf cj,cndtyyj fvthbrfycrbq rjynbytyn kbim ltcznm ktn cgecnz. Ghj,ktvf rfhns Dbykfylbb zdkztncz kbim jlybv bp djghjcjd> cnfdzob[ gjl cjvytybt dpukzls nt[> rnj jnlftn Rjkev,e gfkmve gthdtycndf d jnrhsnbb Fvthbrb.

Djghjcs

21. Htpekmnfns ghjdthrb> ghjdtltyyjq :frkby Jkby !cnhjrb 12-16@> gjllth;bdf/n ubgjntpe j njv> xnj 'nf rfhnf ltqcndbntkmyj zdkztncz gjlkbyyjq> gjcrjkmre> d cjjndtncndbb c ybvb> gthufvtyn> yf rjnjhjv yfhbcjdfyf rfhnf> ,sk bpujnjdkty ghb,snbz d Fvthbre.

(1) tot lj # Ktqaf "hbrccjyf (2) tot lj # Rjkev,f (3) xthtp vyjubt ujls gjckt # Rjkev,f (4) xthtp vyjubt ujls gjckt # Ktqaf "hbrccjyf

- 16 - B/km 2011 ujlf



22. `Yfcrjkmrj bpdtcnyj> xtkjdtxtcndj yt hfcgjkfufkj pyfybzvb> ytj,[jlbvsvb lkz ghjbpdjlcndf fyfnfpf ... dgkjnm lj 20-[ ujljd ldflwfnjuj dtrf$ !cnhjrb 20-22@> gj'njve -

(1) j,yfhe;tybt cdbltntkmcnd tuj ghbcencndbz d xthybkf[ yf gthufvtynt cnfdbn gjl cjvytybt gjlkbyyjcnm rfhns

(2) gjnht,jdfkjcm bcgjkmpjdfnm jcj,e/ nt[ybre> xnj,s j,yfhe;bnm cdbltntkmcndf tuj ghbcencndbz d xthybkf[ yf rfhnt

(3) hfytt lbjrcbl nbnfyf yt bcgjkmpjdfkb (4) cktletn ghtlgjkj;bnm> xnj Ktqa "hbrccjy ljcnbu ,thtujd Fvthbrb kbim gjckt 20-[

ujljd ldflwfnjuj dtrf

23. Rfrjt endth;ltybt yt jghjdthuftncz yb jlybv bp j,(zcytybq> ghtlkj;tyys[ d nhtnmtv f,pfwt*

(1) Xtkjdtxtcndj yt hfcgjkfufkj pyfybzvb> ytj,[jlbvsvb lkz ghjbpdjlcndf fyfnfpf dgkjnm lj 20-[ ujljd ldflwfnjuj dtrf.

(2) Rfhnf Dbykfylbb ghtlcnfdkztn cj,jq bcrecye/ gjlltkre. (3) Rfhnf Dbykfylbb ,skf cjplfyf ghb,kbpbntkmyj d 1434 ujle. (4) Rfhnf Dbykfylbb yfhbcjdfyf yf gthufvtynt> bpujnjdktyyjv bp irehs> rjnjhfz ,skf

cyznf c ;bdjnyjuj jrjkj 1434 ujlf.

24. Rfrjq djghjc yf[jlbncz d wtynht `gjktvbrb$ !cnhjrf 33@*

(1) Zdkztncz kb rfhnf Dbykfylbb gjlkbyyjq* (2) Cktletn kb jcyjdsdfnm cgjh j njv> rnj bvtyyj bp tdhjgtqwtd gthdsv ljcnbu

Fvthbrb> bcrk/xbntkmyj yf rfhnt Dbykfylbb* (3) <skb kb k/lb> gthdsvb ljcnbuibt Fvthbrb> tdhjgtqwfvb* (4) Rnj bvtyyj bp tdhjgtqwtd jnrhsk Fvthbre*

25. Rfrjt bp cktle/ob[ endth;ltybq ghjnbdjgjcnfdkztncz nhtv lheubv endth;ltybzv jnyjcbntkmyj njuj> `rnj gthdsv ljcnbu Fvthbrb$*

(1) Crfylbyfdcrbt gentitcndtyybrb ljcnbukb fvthbrfycrjuj rjynbytynf lj Rjkev,f. (2) Dbrbyu Ktqa "hbrccjy ljcnbu Dbykfylbb ghb,kbpbntkmyj d 1000 ujle. (3) Gthufvtyn> yf rjnjhjv yfhbcjdfyf rfhnf Dbykfylbb> ,sk ghbujnjdkty bp irehs>

cyznjq c ;bdjnyjuj tot jrjkj 1434 ujlf. (4) Gthdjt ljrevtynbhjdfyyjt egjvbyfybt j rfhnt Dbykfylbb jnyjcbncz r 1958 ujle.

26. Rfrjq bp cktle/ob[ dfhbfynjd yfbkexibv j,hfpjv jnhf;ftn cnhjtybt lfyyjuj jnhsdrf*

(1) Ghtlcnfdktybt lbcreccbb> dtleotqcz d yfexyjv vbht → gjlhj,yjt b hfcibhtyyjt jgbcfybt cenb 'njq lbcrecbb → gjlhj,yjt bpkj;tybt j,(zcytybq> rjnjhst ghbdjlbn jlyf bp cnjhjy lbcreccbb → ghtlcnfdktybt ghj,ktv> cdzpfyys[ c 'nbvb j,(zcytybzvb.

(2) Ghtlcnfdktybt lbcreccbb> dtleotqcz d yfexyjv vbht → ghtlcnfdktybt ljdjljd jlyjq bp cnjhjy lbcrecbb → j,ce;ltybt dthyjcnb 'nb[ ljdjljd → ghtlcnfdktybt ljdjljd dnjhjq cnjhjys lbcreccbb.

(3) Ghtlcnfdktybt ljdjljd jlyjq bp cnjhjy lbcreccbb> dtleotqcz d yfexyjv vbht → gjlhj,yjt bpkj;tybt ljrfpfntkmcnd> rjnjhst ghtlcnfdkz/n j,t cnjhjys

lbcreccbb → ghbdtltybt hfpkbxys[ j,(zcytybq ghjnbdjhtxbq vt;le ljrfpfntkmcndfvb → ghtlcnfdktybt ghj,ktv> cdzpfyys[ c 'nbvb j,(zcytybzvb. (4) Ghtlcnfdktybt lbcreccbb> dtleotqcz d yfexyjv vbht → gjlhj,yjt bpkj;tybt ljrfpfntkmcnd> rjnjhst ghtlcnfdkz/n j,t cnjhjys lbcreccbb → ghbdtltybt hfpkbxys[ j,(zcytybq ghjnbdjhtxbq vt;le ljrfpfntkmcndfvb → gtht[jl jn hfccvjnhtybz lfyyjq lbcrecbb r hfccvjnhtyb/ ,jktt vfcinf,yjq lbcrecbb.

- 17 - B/km 2011 ujlf



Gecnfz cnhfybwf

- 18 -

Rjkbxtcndtyyjt vsiktybt"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> rfcf/obtcz hfpltkf rjkbxtcndtyyjuj vsiktybz

* 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.

Vfntvfnbxtcrbt pyfrb b ajhveks

D 'njv hfpltkt 25 djghjcjd.Dhtvz yf htitybt - 25 vbyen.

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

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

2$+] g

12. Cevvf dyenhtyyb[ eukjd vyjujeujkmybrf !n - xbckj cnjhjy vyjujeujkmybrf@ hfdyf (180n – 360) uhflecjd.

Dtkbxbyf rf;ljuj dyenhtyytuj eukf d ghfdbkmyjv vyjujeujkmybrt !n - xbckj cnjhjy vyjujeujkmybrf@

hfdyf n nn180 360 180 360

− =−

b bl l uhflecjd.

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

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

wtynhfkmysv eukjv x°> hfdyf πr2 · x 360

14. 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

15. 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

16. J,(tv rjyecf> hflbec jcyjdfybz

rjnjhjuj r> f dscjnf h> hfdty πr2 · h 3

1. Pyfr

anma

mn=

x°

j,jpyfxftn eujk dtkbxbyjq 90° (ghzvjq eujk).

Pyfr «ABC j,jpyfxftn eujk> pfrk/xtyysq vt;le cnjhjyfvb AB b BC.

a || b j,jpyfxftn% a gfhfkktkmyj b.

a ⊥ b j,jpyfxftn% a gthgtylbrekzhyj b.

2. Yjkm yt zdkztncz yb gjkj;bntkmysv> yb jnhbwfntkmysv xbckjv.

Yjkm zdkztncz xtnysv xbckjv. Tlbybwf yt zdkztncz ghjcnsv xbckjv.

3. Ghjwtyns: a% jn x - 'nj a x100 $

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

f. aa1n=−n ,. a amm

n n= ^ h (0 < a, 0 < m)

d. am + n = am · an u. (an)m = an · m

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

(a + b)(a – b) = a2 – b2

hfccnjzybt

6. Pflfxb yf ghjqltyysq genm: = crjhjcnm dhtvz hf,jnf7. Pflfxb yf vjoyjcnm% = vjoyjcnm

dhtvz

8. Ghjgjhwbz: Tckb AD || BE || CF ,

nj DEAB

EFBC

= , f nfr;t ACAB

DFDE

=

9. Nhteujkmybr: f. Gkjoflm nhteujkmybrf> lkbyf jcyjdfybz rjnjhjuj a, b lkbyf dscjns r

lfyyjve jcyjdfyb/ h, hfdyf a h2$

,. 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.

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°


B/km 2011 ujlfRjkbxtcndtyyjt vsiktybt> hfpltk gthdsq

- 19 - B/km 2011 ujlf


Rjkbxtcndtyyjt vsiktybt> hfpltk gthdsq

Rjkbxtcndtyyst chfdytybz !djghjcs 1-6@

Djghjcs 1-6 cjcnfdktys bp gfh dshf;tybq. D rf;ljv djghjct jlyj bp dshf;tybq yf[jlbncz d rjkjyrt F> f dnjhjt - d rjkjyrt <. D nhtnmtq rjkjyrt byjulf cjlth;bncz ljgjkybntkmyfz byajhvfwbz> jnyjczofzcz r gfht dshf;tybq d rjkjyrf[ F b <. "nf byajhvfwbz vj;tn jrfpfnmcz ytj,[jlbvjq lkz htitybz djghjcf. Cktletn chfdybnm jlyj dshf;tybt c lheubv c gjvjom/ ljgjkybntkmyjq byajhvfwbb !tckb nfrjdfz bvttncz@ b htibnm%

(1) Dshf;tybt d rjkjyrt F ,jkmit (2) Dshf;tybt d rjkjyrt < ,jkmit(3) Ldf lfyys[ dshf;tybz hfdys vt;le cj,jq(4) Yf jcyjdfybb bvt/otqcz byajhvfwbb ytdjpvj;yj jghtltkbnm> rfrjdj

cjjnyjitybt vt;le dtkbxbyfvb lde[ dshf;tybq

Gjckt njuj rfr Ds ds,hfkb dfhbfyn jndtnf> rjnjhsq cxbnftnt ghfdbkmysv> jnvtnmnt tujyjvth d cjjndtncnde/otv vtcnt yf kbcnt jndtnjd.

Rjkjyrf F Rjkjyrf < Ljgjkybntkmyfz byajhvfwbz

1.Hfccnjzybt vt;leA b C

2. Rjkbxtcndj he,fitr>rjnjhst regbk Hjvf

Rjkbxtcndj gfh ,h/r>rjnjhst regbk Hjvf

Hjvf regbk he,firbb ,h/rb. Wtyf gfhs ,h/r hfdyf 50 itrtkzv. Wtyf he,firb hfdyf 30 itrtkzv.Dctuj Hjvf pfgkfnbk d njxyjcnb 200 itrtktq.

3. | x | x2 -1 < x < 0

4. «1 «2

5. 4x – 2x 2x 1 < x

6. Gkjoflm ghzvjeujkmybrf

Cevvf gkjofltq pfrhfityys[ abueh

BCDF - ghzvjeujkmybr> dgbcfyysq d nhteujkmybr ACE.

الُبعدٹبنيC و B

الُبعدٹبنيB و A+

A

C

B

+C B B A

+la

distance entre A et B

la distance

entre B et C

β

β

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+

la distancia

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la distancia

entre B y C

+The

distance between A and B

The distance between B and C

+B CA B

A

B

C D E

F10 8

6

e

A

B

C D E

Fسم سم 10 8

سم 6

A

B

C D E

F8

6 10

A

B

C D E

F8 cm6 cm

10 cm

r

O

r

O

10 cm

6 cm

x cm

12 cm

15 cm

10

6

x

12

15

10

6

x

12

15

سم 10

سم 6

x سم

سم 12

سم 15

a

b

O1.5

x a

b

O1.5 cm

x cm a

b

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x cma

b

O

x

1.5

a

b

O

سم x

سم 1.5

Spanish



A

C

B

+C B B A

+la


la distance

entre B et C

β

β

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DC

B

2 1

+

la distancia

entre A y B

la distancia

entre B y C

+The



+B CA B

A

B

C D E

F10 8

6

e

A

B

C D E

Fسم سم 10 8

سم 6

A

B

C D E

F8

6 10

A

B

C D E

F8 cm6 cm

10 cm

r

O

r

O

10 cm

6 cm

x cm

12 cm

15 cm

10

6

x

12

15

10

6

x

12

15

سم 10

سم 6

x سم

سم 12

سم 15

a

b

O1.5

x a

b

O1.5 cm

x cm a

b

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x cma

b

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x

1.5

a

b

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سم x

سم 1.5

Spanish



A

C

B

+C B B A

+la


la distance

entre B et C

β

β

αα

A

DC

B

2 1

+

la distancia

entre A y B

la distancia

entre B y C

+The



+B CA B

A

B

C D E

F10 8

6

e

A

B

C D E

Fسم سم 10 8

سم 6

A

B

C D E

F8

6 10

A

B

C D E

F8 cm6 cm

10 cm

r

O

r

O

10 cm

6 cm

x cm

12 cm

15 cm

10

6

x

12

15

10

6

x

12

15

سم 10

سم 6

x سم

سم 12

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a

b

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x a

b

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b

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x

1.5

a

b

O

سم x

سم 1.5

Spanish



A

C

B

+C B B A

+la


la distance

entre B et C

β

β

αα

A

DC

B

2 1

+

la distancia

entre A y B

la distancia

entre B y C

+The



+B CA B

A

B

C D E

F10 8

6

e

A

B

C D E

Fسم سم 10 8

سم 6

A

B

C D E

F8

6 10

A

B

C D E

F8 cm6 cm

10 cm

r

O

r

O

10 cm

6 cm

x cm

12 cm

15 cm

10

6

x

12

15

10

6

x

12

15

سم 10

سم 6

x سم

سم 12

سم 15

a

b

O1.5

x a

b

O1.5 cm

x cm a

b

O1,5 cm

x cma

b

O

x

1.5

a

b

O

سم x

سم 1.5

Spanish

- 20 - B/km 2011 ujlf



Djghjcs b pflfxb !djghjcs 7-11@

7. p b q - ghjcnst xbckf> 2 < q < p.

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

(1) p · q zdkztncz ghjcnsv xbckjv

(2) p – q zdkztncz xtnysv xbckjv

(3) p + q zdkztncz ytxtnysv xbckjv

(4) qp

zdkztncz wtksv xbckjv

8. Rfrjt bp cktle/ob[ xbctk yt vj;tn ,snm xbckjv dct[ njxtr gthtctxtybz> j,hfpjdfyys[ yf gkjcrjcnb 3 ghzvsvb jnhtprfvb*

(1) 1 (2) 2 (3) 3 (4) 4

9. Jkmuf 4 hfpf d ytltk/ tplbn bp Bthecfkbvf d Ntkm-Fdbd b j,hfnyj. Hfccnjzybt vt;le Bthecfkbvjv b Ntkm-Fdbdjv hfdyj 60 rv. Njgkbdysq ,fr d vfibyt Jkmub dvtoftn

20 kbnhjd njgkbdf. Jlyjuj kbnhf njgkbdf [dfnftn yf nj> xnj,s ghjt[fnm 8 rv.

Rjkbxtcndj ,frjd njgkbdf> rjnjhst Jkmuf hfc[jletn yf 'nb gjtplrb pf ytltk/> hfdyj .

(1) 1 (2) 2 (3) 3 (4) 4

10. Xbckj 101 hfdyj 1% jn -

(1) 1

(2) 10

(3) 1001

(4) 10001

11. Yf cktle/otv xthnt;t bpj,hf;ty rheu c wtynhjv O b hflbecjv r. Rfrjdf gkjoflm pfrhfityyjq abuehs*

(1) 81 πr2

(2) r2(π – 1)

(3) π r16

3 2

(4) πr 422 −

b l



A

C

B

+C B B A

+la


la distance

entre B et C

β

β

αα

A

DC

B

2 1

+

la distancia

entre A y B

la distancia

entre B y C

+The



+B CA B

A

B

C D E

F10 8

6

e

A

B

C D E

Fسم سم 10 8

سم 6

A

B

C D E

F8

6 10

A

B

C D E

F8 cm6 cm

10 cm

r

O

r

O

10 cm

6 cm

x cm

12 cm

15 cm

10

6

x

12

15

10

6

x

12

15

سم 10

سم 6

x سم

سم 12

سم 15

a

b

O1.5

x a

b

O1.5 cm

x cm a

b

O1,5 cm

x cma

b

O

x

1.5

a

b

O

سم x

سم 1.5

Spanish

- 21 -


B/km 2011 ujlfRjkbxtcndtyyjt vsiktybt> hfpltk gthdsq

Dsdjls bp lbfuhfvvs !djghjcs 12-15@Dybvfntkmyj hfccvjnhbnt ghbdtltyyst lbfuhfvvs b jndtnmnt yf xtnsht cktle/ob[ pf ybvb djghjcf.

Cktle/obt lbfuhfvvs jgbcsdf/n vbuhfwb/ yfctktybz d 4 ;bks[ hfqjyf (A, B, C b D) b bp yb[ pf gthbjl vt;le 1990 b 1994 ujlfvb. Yf rf;ljq lbfuhfvvt rf;lfz abuehf bpj,hf;ftn jghtltktyye/ uhegge ctvtq !cjukfcyj gjlgbcb gjl abuehjq@. Cdtnkfz abuehf bpj,hf;ftn ctvmb> ghj;bdfdibt d hfqjyt d 1990 ujle> f pfrhfityyst abuehs bpj,hf;f/n ctvmb> et[fdibt bp lfyyjuj hfqjyf !d lheubt hfqjys njuj ;t ujhjlf bkb d lheubt ujhjlf@ vt;le 1990 b 1994 ujlfvb. Pfinhb[jdfyyst abuehs bpj,hf;f/n ctvmb> gthtt[fdibt d lfyysq hfqjy !bp lheub[ hfqjyjd njuj ;t ujhjlf bkb bp lheub[ ujhjljd@ vt;le 1990 b 1994 ujlfvb. Abuehf b tt hfpvths jnhf;f/n xbckj ctvtq !cv. j,jpyfxtybz@> f vtcnjgjkj;tybt wtynhf abuehs !dsltktyyfz njxrf@ jnyjcbntkmyj dthnbrfkmyjq jcb jnhf;ftn chtly// pfhgkfne 'nb[ ctvtq !d nsczxf[ [email protected] pfhgkfnf gj cnhfyt !5000 itrtktq@ erfpfyf yf rf;ljq lbfuhfvvt ghb gjvjob geyrnbhyjq kbybb.Yfghbvth> d 1990 ujle d hfqjyt D ghj;bdfkj 5000 ctvtq> b b[ chtlyzz pfhgkfnf cjcnfdkzkf 6000 itrtktq. Vt;le 1990 b 1994 ujlfvb bp lheub[ hfqjyjd njuj ;t ujhjlf d 'njn hfqjy gthtt[fkj 100 ctvtq> chtlyzz pfhgkfnf rjnjhs[ ,skf hfdyf chtlytq pfhgkfnt gj cnhfyt !5000 itrtktq@.

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

Mehag_shchunot_Rus_Arab

10501005001,0005,000

A98765

321

4

D98765

321

4

C98765

321

4

98765

321

4

B

10 50 100 500 10005000

A

1990

1990

C

B

1990

1990

D

98765

321

4

98765

321

4

98765

321

4

98765

321

4

- 22 - B/km 2011 ujlf



Djghjcs

12. Chtlyzz pfhgkfnf ctvtq> gthtt[fdib[ bp hfqjyf d lheujq ujhjl> ,skf yb;t chtlytq pfhgkfns gj cnhfyt.

(1) A (2) B (3) C (4) D

13. D rfrjv bp hfqjyjd cjjnyjitybt vt;le xbckjv ctvtq> et[fdib[ bp ytuj d lheubt hfqjys> b xbckjv ctvtq> et[fdib[ bp ytuj d lheubt ujhjlf> hfdyj cjjnyjityb/ vt;le xbckjv ctvtq> gthtt[fdib[ d ytuj bp lheub[ hfqjyjd> b xbckjv ctvtq> gthtt[fdib[ d ytuj bp lheub[ ujhjljd*

(1) A (2) B (3) C (4) D

14. Crjkmrj ctvtq ghj;bdfkj d hfqjyt A d 1994 ujle*

(1) 3840 (2) 4060 (3) 5940 (4) 6160

15. Xnj vj;yj crfpfnm j xfcnyjv Chtlyzz pfhgkfnf ctvtq d hfqjyt D d 1994 ujle * Chtlyzz pfhgkfnf ctvtq d hfqjyt D d 1990 ujle

(1) jyj hfdyj 1 (2) jyj vtymit 1 (3) jyj ,jkmit 1 (4) ytdjpvj;yj pfrk/xbnm xnj-kb,j j tuj dtkbxbyt yf jcyjdfybb lfyys[ lbfuhfvvs


16. Ltqcndbt $ jghtltktyj lkz k/,s[ x b y> jnkbxys[ jn yekz> rfr $ ,x yx yx y

2= +^ h

Lfyj% a + b ≠ 0 ; a , b ≠ 0

$ ,$ , ?b a

a b =^

^

h

h

(1) ab

2

(2) ba

2

(3) ab

(4) ba2

- 23 - B/km 2011 ujlf



17. Yf ytrjnjhjv ghtlghbznbb hf,jnybrb vjuen t;tlytdyj pfrfpsdfnm jlby j,tl gj wtyt d 5 itrtktq> 11 itrtktq bkb 17 itrtktq. Bpdtcnyj> xnj d ytrjnjhjv vtczwt Tktyf

pfrfpfkf hfdyjt rjkbxtcndj j,tljd gj rf;ljq bp 'nb[ wty.

Rfrjt bp cktle/ob[ endth;ltybq ytghtvtyyj zdkztncz dthysv d jnyjitybb j,otq cevvs !d itrtkz[@> rjnjhe/ jyf pfgkfnbkf pf j,tls d 'njv vtczwt*

(1) jyf ltkbncz ,tp jcnfnrf yf 5 (2) jyf ltkbncz ,tp jcnfnrf yf 6 (3) jyf ltkbncz ,tp jcnfnrf yf 11 (4) jyf ltkbncz ,tp jcnfnrf yf 17

18. 4 rjyuhe'ynys[ ghzvjeujkmybrf hfcgjkfuf/ncz lheu hzljv c lheujv> rfr gjrfpfyj yf xthnt;t.

Gthbvtnh gjkextyyjq abuehs !;bhyfz kbybz@ hfdty 28 cv. Rfrjdf gkjoflm rf;ljuj ghzvjeujkmybrf !d cv2@*

(1) 8 (2) 12 (3) 14 (4) 16

19. D rkfcct 42 extybrf. 20 extybrjd 'njuj rkfccf buhf/n yf crhbgrt> b 20 extybrjd 'njuj

rkfccf buhf/n yf hjzkt. Bpdtcnyj> xnj 43 extybrjd> rjnjhst buhf/n yf crhbgrt> buhf/n

nfr;t yf hjzkt. Jcnfkmyst extybrb rkfccf yt buhf/n yf vepsrfkmys[ bycnhevtynf[.

Crjkmrj extybrjd 'njuj rkfccf yt buhf/n yf vepsrfkmys[ bycnhevtynf[*

(1) 5 (2) 2 (3) 11 (4) 17

20. Ybyf dpzkf cnfrfy wbkbylhbxtcrjq ajhvs !cv. xthnt;@ b wtkbrjv yfgjkybkf tuj djljq. Pfntv jyf gthtkbkf djle bp cnfrfyf d cjcel> bvt/obq ajhve gfhfkktktgbgtlf

!cv. xthnt;@. Djlf pfgjkybkf 'njn cjcel wtkbrjv. Cjukfcyj 'nbv lfyysv b lfyysv xthnt;f>

x = ?

(1) π4

(2) 2π

(3) 3π

(4) π2

21. D nfqyjv zpsrt Hjvs tcnm 15 hfpkbxys[ ,erd. Crjkmrj hfpkbxys[ ckjd> cjcnjzob[ bp 2 ,erd> vj;yj yfgbcfnm yf 'njv zpsrt*

(1) 152 (2) 215 (3) 30 (4) 214



A

C

B

+C B B A

+la


la distance

entre B et C

β

β

αα

A

DC

B

2 1

+

la distancia

entre A y B

la distancia

entre B y C

+The



+B CA B

A

B

C D E

F10 8

6

e

A

B

C D E

Fسم سم 10 8

سم 6

A

B

C D E

F8

6 10

A

B

C D E

F8 cm6 cm

10 cm

r

O

r

O

10 cm

6 cm

x cm

12 cm

15 cm

10

6

x

12

15

10

6

x

12

15

سم 10

سم 6

x سم

سم 12

سم 15

a

b

O1.5

x a

b

O1.5 cm

x cm a

b

O1,5 cm

x cma

b

O

x

1.5

a

b

O

سم x

سم 1.5

Spanish



A

C

B

+C B B A

+la


la distance

entre B et C

β

β

αα

A

DC

B

2 1

+

la distancia

entre A y B

la distancia

entre B y C

+The



+B CA B

A

B

C D E

F10 8

6

e

A

B

C D E

Fسم سم 10 8

سم 6

A

B

C D E

F8

6 10

A

B

C D E

F8 cm6 cm

10 cm

r

O

r

O

10 cm

6 cm

x cm

12 cm

15 cm

10

6

x

12

15

10

6

x

12

15

سم 10

سم 6

x سم

سم 12

سم 15

a

b

O1.5

x a

b

O1.5 cm

x cm a

b

O1,5 cm

x cma

b

O

x

1.5

a

b

O

سم x

سم 1.5

Spanish

- 24 - B/km 2011 ujlf



22. Lfyj% x b y - wtkst xbckf.

1 < x < y x · y – x = 18

xy - wtkjt xbckj.

y = ? (1) 10 (2) 8 (3) 7 (4) 4

23. Yf ghbdtltyyjv xthnt;t ghzvst a b b gthtctrf/n jrhe;yjcnm c wtynhjv O b hflbecjv> hfdysv 2 cv.

Ghzvfz b ghj[jlbn xthtp njxre O> f ghzvfz a yt ghj[jlbn xthtp njxre O.

Cjukfcyj 'nbv lfyysv b lfyysv xthnt;f> rfrjt bp cktle/ob[ endth;ltybq d jnyjitybb x ytghtvtyyj zdkztncz dthysv*

(1) x < 2.5

(2) 3 < x

(3) 1.5 < x

(4) x < 1.5

24. Lfyj ehfdytybt% x2 = x3

Crjkmrj htitybq bvttncz e lfyjuj ehfdytybz*

(1) 1 (2) 2 (3) 3 (4) ,tcrjytxyjt xbckj

25. Lfyz hfpltkbk dct bvt/obtcz e ytuj gbhj;rb cktle/obv j,hfpjv% rf;lsq bp tuj x ltntq gjkexbk x gbhj;rjd.

Tckb ,s jy yt lfk gbhj;rjd jlyjve bp cdjb[ ltntq> f jcnfkmysv (x – 1) ltnzv lfk ,s (x – 1) gbhj;rjd rf;ljve> nj e ytuj jcnfkjcm ,s 15 gbhj;rjd.

Crjkmrj ltntq tcnm e Lfyb*

(1) 6 (2) 5 (3) 3 (4) 8



A

C

B

+C B B A

+la


la distance

entre B et C

β

β

αα

A

DC

B

2 1

+

la distancia

entre A y B

la distancia

entre B y C

+The



+B CA B

A

B

C D E

F10 8

6

e

A

B

C D E

Fسم سم 10 8

سم 6

A

B

C D E

F8

6 10

A

B

C D E

F8 cm6 cm

10 cm

r

O

r

O

10 cm

6 cm

x cm

12 cm

15 cm

10

6

x

12

15

10

6

x

12

15

سم 10

سم 6

x سم

سم 12

سم 15

a

b

O1.5

x a

b

O1.5 cm

x cm a

b

O1,5 cm

x cma

b

O

x

1.5

a

b

O

سم x

سم 1.5

Spanish

- 25 - B/km 2011 ujlf



Gecnfz cnhfybwf

- 26 -


B/km 2011 ujlfRjkbxtcndtyyjt vsiktybt> hfpltk dnjhjq

Rjkbxtcndtyyjt vsiktybt"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> rfcf/obtcz hfpltkf rjkbxtcndtyyjuj vsiktybz

* 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.

Vfntvfnbxtcrbt pyfrb b ajhveks

D 'njv hfpltkt 25 djghjcjd.Dhtvz yf htitybt - 25 vbyen.

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

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

2$+] g

12. Cevvf dyenhtyyb[ eukjd vyjujeujkmybrf !n - xbckj cnjhjy vyjujeujkmybrf@ hfdyf (180n – 360) uhflecjd.

Dtkbxbyf rf;ljuj dyenhtyytuj eukf d ghfdbkmyjv vyjujeujkmybrt !n - xbckj cnjhjy vyjujeujkmybrf@

hfdyf n nn180 360 180 360

− =−

b bl l uhflecjd.

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

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

wtynhfkmysv eukjv x°> hfdyf πr2 · x 360

14. 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

15. 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

16. J,(tv rjyecf> hflbec jcyjdfybz

rjnjhjuj r> f dscjnf h> hfdty πr2 · h 3

1. Pyfr

anma

mn=

x°

j,jpyfxftn eujk dtkbxbyjq 90° (ghzvjq eujk).

Pyfr «ABC j,jpyfxftn eujk> pfrk/xtyysq vt;le cnjhjyfvb AB b BC.

a || b j,jpyfxftn% a gfhfkktkmyj b.

a ⊥ b j,jpyfxftn% a gthgtylbrekzhyj b.

2. Yjkm yt zdkztncz yb gjkj;bntkmysv> yb jnhbwfntkmysv xbckjv.

Yjkm zdkztncz xtnysv xbckjv. Tlbybwf yt zdkztncz ghjcnsv xbckjv.

3. Ghjwtyns: a% jn x - 'nj a x100 $

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

f. aa1n=−n ,. a amm

n n= ^ h (0 < a, 0 < m)

d. am + n = am · an u. (an)m = an · m

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

(a + b)(a – b) = a2 – b2

hfccnjzybt

6. Pflfxb yf ghjqltyysq genm: = crjhjcnm dhtvz hf,jnf7. Pflfxb yf vjoyjcnm% = vjoyjcnm

dhtvz

8. Ghjgjhwbz: Tckb AD || BE || CF ,

nj DEAB

EFBC

= , f nfr;t ACAB

DFDE

=

9. Nhteujkmybr: f. Gkjoflm nhteujkmybrf> lkbyf jcyjdfybz rjnjhjuj a, b lkbyf dscjns r

lfyyjve jcyjdfyb/ h, hfdyf a h2$

,. 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.

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°

anm a

m n=

x°

- 27 - B/km 2011 ujlf


Rjkbxtcndtyyjt vsiktybt> hfpltk dnjhjq


1. Lkz njuj xnj,s yfgjkybnm jlby pf lheubv 3 jlbyfrjds[ ,fcctqyf c gjcnjzyyjq crjhjcnm/> gjnht,e/ncz a xfcjd.

Crjkmrj dhtvtyb !d xfcf[@ gjnht,etncz lkz njuj> xnj,s yfgjkybnm njkmrj jlby bp 'nb[ ,fcctqyjd*

(1) 3a

(2) a3

(3) a3

(4) a3

2. Yf xthnt;t bpj,hf;tys 4 hfdyjcnjhjyyb[ nhteujkmybrf c j,obvb dthibyfvb> j,hfpe/obt hjv,.

Gthbvtnh rf;ljuj nhteujkmybrf hfdty 12 cv. Rfrjd gthbvtnh hjv,f !pfrhfityyjq abuehs@*

(1) 12 cv

(2) 14 cv

(3) 16 cv

(4) 18 cv

3. Lfyj% 0 < x < y < z < w Rfrjt bp cktle/ob[ endth;ltybq yt zdkztncz dthysv*

(1) (x + y) < (z + w)

(2) (x · z) < (y · w)

(3) (z – y) < (w – x)

(4) xw

yz<b cl m

4. Yf kbcnt yfxthxtys ldt nhfgtwbb c j,obv ,jkmibv jcyjdfybtv> yj jnkbxyst lheu jn lheuf gj dscjnt.

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

(1) vfkjt jcyjdfybt 'nb[ nhfgtwbq nfr;t zdkztncz j,obv (2) vfkst jcyjdfybz 'nb[ nhfgtwbq gfhfkktkmys lheu lheue (3) vfkst jcyjdfybz 'nb[ nhfgtwbq hfdys lheu lheue gj lkbyt (4) e 'nb[ nhfgtwbq nfr;t bvttncz j,ofz ,jrjdfz cnjhjyf

α

δ

a

b

α

βO

A

B

C

D

E

F46°

?

O

A

D

FEB C

A D

E

CB

x

A

B DE (0;3)

C (2;0)

y

x

A

B DE (0,3)

C (2,0)

y

- 28 - B/km 2011 ujlf



5. x - 'nj xbckj> rjnjhjt ltkbncz yf 6 hfpkbxys[ wtks[ xbctk> ,jkmib[ 1 b vtymib[ 11.

Rfrjt bp cktle/ob[ xbctk vj;tn ,snm hfdyj x*

(1) 60 (2) 20 (3) 30 (4) 40

6. Rjkbxtcndj wdtnjd e <jhb d 2 hfpf ,jkmit rjkbxtcndf wdtnjd e "lbrf b d 3 hfpf vtymit rjkbxtcndf wdtnjd e Uhbib.

Crjkmrj wdtnjd vj;tn ,snm e dct[ nhjb[ dvtcnt*

(1) 55 (2) 50 (3) 45 (4) 40

7. Yf xthnt;t bpj,hf;tys gfhfkktkjuhfvv ABCD b rdflhfn CEFD. Yf jcyjdfybb 'nb[ lfyys[ b lfyys[ xthnt;f>

«ADF = ?

(1) 134°

(2) 136°

(3) 138°

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

α

δ

a

b

α

βO

A

B

C

D

E

F46°

?

O

A

D

FEB C

A D

E

CB

x

A

B DE (0;3)

C (2;0)

y

x

A

B DE (0,3)

C (2,0)

y

- 29 -



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 dct nhjgs> gj rjnjhsv vj;yj gjlyznmcz yf dscjre/ ujhe jn ljvbrf A lj ljvbrf L. "nb nhjgs ghj[jlzn xthtp lheubt ljvbrb. Rf;lsq ljvbr j,jpyfxty ,erdjq> j,dtltyyjq rhe;rjv. Gjkj;tybt wtynhf rhe;rf jnyjcbntkmyj dthnbrfkmyjq jcb jnhf;ftn dscjne> yf rjnjhjq yf[jlbncz cjjndtncnde/obq ljvbr !d nsczxf[ vtnhjd@> f gjkj;tybt wtynhf rhe;rf jnyjcbntkmyj ujhbpjynfkmyjq jcb jnhf;ftn gkjnyjcnm pfctktybz cjjndtncnde/otuj ljvbrf d jghtltktyysq ltym !xbckj k/ltq yf rd. v@. Rf;lfz nhjgf j,jpyfxtyf kbybtq> ajhvf rjnjhjq jnhf;ftn tt lkbye d rv !cv. j,[email protected]> lkbyf nhjgs> cjtlbyz/otq ljvbr J c ljvbrjv H> hfdyf 10 rv !j,f ljvbrf yf[jlzncz yf dscjnt 7000 vtnhjd@.

KIBUSH VA'EVEREST - fr KIBUSH VA'EVEREST - sp

Altura(en miles de metros)

Densidad en la cabaña(en personas por m2)

Longitud del sendero

Referencias:

JK

H

L

I

G

F

D

B

E

A

C

8

7

6

5

4

3

2

1

0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8

altitude (en milliers de mètres)

taux d'ocupation de la cabane(en personnes par m2)

longueur du sentier

légende:

JK

H

L

I

G

F

D

B

E

A

C

8

7

6

5

4

3

2

1

0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8

5 km10 km20 km

5 km10 km20 km

KIBUSH VA'EVEREST - rus

( )

( )

JK

H

L

I

G

F

D

B

E

A

C

8

7

6

5

4

3

2

1

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8

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

Djghjcs

8. D crjkmrb[ bp ljvbrjd> yf[jlzob[cz yf dscjnt yb;t 5000 vtnhjd> gkjnyjcnm pfctktybz d ltym> r rjnjhjve jnyjcbncz lbfuhfvvf> ,skf vtytt 0.4 xtkjdtrf yf rd. v*

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

9. Fylhtq htibk ghjqnb bp ljvbrf A d ljvbr> yf[jlzobqcz yf dscjnt 6000 vtnhjd. Rfrjdj vbybvfkmyjt xbckj ljvbrjd> xthtp rjnjhst tve ghtlcnjbn ghjqnb> yt ghbybvfz d

hfcxtn ljvbr A b ljvbr> d rjnjhsq jy cnhtvbncz gjgfcnm*

(1) 5 (2) 6 (3) 3 (4) 4

10. Rfrjdf lkbyf yfb,jktt rjhjnrjuj vfhihenf !d rv@> cdzpsdf/otuj ljvbr A c ljvbrjv L*

(1) 35 (2) 50 (3) 30 (4) 40

11. D ltym> r rjnjhjve jnyjcbncz lbfuhfvvf> Ybyf yf[jlbkfcm d ljvbrt> hfcgjkj;tyyjv yf dscjnt 4000 vtnhjd. Gkjoflm ljvbrf cjcnfdkztn 50 rd. v.

Crjkmrj nehbcnjd yf[jlbkjcm d 'njv ljvbrt d njn ltym !drk/xfz Ybye@*

(1) 6 (2) 8 (3) 10 (4) 12

- 30 - B/km 2011 ujlf




12. Rfrjdf dtkbxbyf eukf> pfrk/xtyyjuj vt;le cnhtkrfvb xfcjd d 2:00*

(1) 45° (2) 60° (3) 75° (4) 115°

13. Bujhm yb;t Hjvs yf 10 cv. Fynjy b Ufkz dsit Bujhz yf 2 cv bkb ,jktt b yb;t Hjvs yf 3 cv bkb ,jktt.

Rfrjdf vfrcbvfkmyfz djpvj;yfz hfpyjcnm vt;le hjcnjv Fynjyf b hjcnjv Ufkb !d cv@*

(1) 5 (2) 6 (3) 7 (4) 4

14. Tckb 0 < x < 1> nj rfrjt bp cktle/ob[ dshf;tybq zdkztncz yfb,jkmibv*

(1) x (2) x (3) x3 (4) x2

15. D ghbdtltyyjq cbcntvt rjjhlbyfn bpj,hf;ty ghzvjeujkmybr ABCD. BD gfhfkktkty jcb x b gthtctrftn jcm y d njxrt E. BE = ED.

Rfrjds rjjhlbyfns njxrb A*

(1) (-3;5)

(2) (-2;5)

(3) (-3;6)

(4) (-2;6)

16. Lfyj% xx

1yz y

2 14 12=−

− +` j > 1 < x

| z | = ?

(1) 2(y – 1)2

(2) | y – z |

(3) y4 12 −

(4) y2α

δ

a

b

α

βO

A

B

C

D

E

F46°

?

O

A

D

FEB C

A D

E

CB

x

A

B DE (0;3)

C (2;0)

y

x

A

B DE (0,3)

C (2,0)

y

- 31 -



17. Ghb rf;ljv yf;fnbb yf ,tke/ ryjgre idtqyjq vfibys crjhjcnm hf,jns vfibys edtkbxbdftncz d 3 hfpf> f ghb rf;ljv yf;fnbb yf xthye/ ryjgre crjhjcnm tt hf,jns evtymiftncz d 2 hfpf.

Fktrctq ldf;ls yf;fk yf ,tke/ ryjgre b 3 hfpf yf;fk yf xthye/ ryjgre. Dj crjkmrj hfp edtkbxbkfcm crjhjcnm hf,jns vfibys*

(1) 1 (2) 89 (3) 2

3 (4) 427

18. Ghjbpdtltybt xbckf x yf 100 zdkztncz wtksv xbckjv jn 100 lj 999. A, B b C - ,erds> ghtlcnfdkz/obt wbahs d bynthdfkt jn 1 lj 9.

Rfrbv bp cktle/ob[ xbctk vj;tn ,snm x*

(1) AB.C (2) A.BC (3) 0.ABC (4) yb jlyj bp ghbdtltyys[ dsit xbctk yt vj;tn ,snm x

19. Lfybyf kjiflm rf;lsq ltym c(tlftn 32 jn xbckf z,kjr> rjnjhjt jyf c(tkf d ghtlsleobq

ltym.

Tckb d xtndthu kjiflm c(tkf 8 z,kjr> nj crjkmrj z,kjr jyf c(tkf d gjytltkmybr yf njq ;t ytltkt*

(1) 18 (2) 20 (3) 24 (4) 27

Rjkbxtcndtyyst chfdytybz !djghjcs 20-25@

Djghjcs 20-25 cjcnfdktys bp gfh dshf;tybq. D rf;ljv djghjct jlyj bp dshf;tybq yf[jlbncz d rjkjyrt F> f dnjhjt - d rjkjyrt <. D nhtnmtq rjkjyrt byjulf cjlth;bncz ljgjkybntkmyfz byajhvfwbz> jnyjczofzcz r gfht dshf;tybq d rjkjyrf[ F b <. "nf byajhvfwbz vj;tn jrfpfnmcz ytj,[jlbvjq lkz htitybz djghjcf. Cktletn chfdybnm jlyj dshf;tybt c lheubv c gjvjom/ ljgjkybntkmyjq byajhvfwbb !tckb nfrjdfz bvttncz@ b htibnm%

(1) Dshf;tybt d rjkjyrt F ,jkmit (2) Dshf;tybt d rjkjyrt < ,jkmit(3) Ldf lfyys[ dshf;tybz hfdys vt;le cj,jq(4) Yf jcyjdfybb bvt/otqcz byajhvfwbb ytdjpvj;yj jghtltkbnm> rfrjdj

cjjnyjitybt vt;le dtkbxbyfvb lde[ dshf;tybq

Gjckt njuj rfr Ds ds,hfkb dfhbfyn jndtnf> rjnjhsq cxbnftnt ghfdbkmysv> jnvtnmnt tujyjvth d cjjndtncnde/otv vtcnt yf kbcnt jndtnjd.


20.21

Dthjznyjcnm njuj> xnj ds,hfyysq uhf;lfyby gjkexftn gjcj,bt

D ytrjnjhjq cnhfyt gjkjdbyf

uhf;lfy - ve;xbys> f gjkjdbyf -

;tyobys.

32 ve;xby gjkexf/n gjcj,bt>

b 31 ;tyoby gjkexf/n gjcj,bt.

Ckexfqysv j,hfpjv

ds,bhf/n jlyjuj uhf;lfybyf !bp

dct[ ve;xby b ;tyoby@.

- 32 - B/km 2011 ujlf




21. a 0b < 2aa < 2b

22.

Dtkbxbyf eukf δ Dtkbxbyf eukf β

Ghzvst a b b> bpj,hf;tyyst d rjkjyrt F> zdkz/ncz gfhfkktkmysvb.Njxrf O - wtynh jrhe;yjcnb> bpj,hf;tyyjq d rjkjyrt <.Euks α d j,tb[ rjkjyrf[ hfdys lheu lheue.

α < 90°

23.Gkjoflm nhteujkmybrf ABC

3

Gkjoflm pfrhfityyjq abuehs

ABC - hfdyjcnjhjyybq nhteujkmybr.Njxrf O - njxrf gthtctxtybz ,bcctrnhbc.AD = DO, BE = EO, CF = FO

24. 4 · c Chtlytt pyfxtybt a, b, c b d 0 < a < b < c < d

25. DE ECABCD - rdflhfn.E - njxrf> hfcgjkj;tyyfz yf CD.Gkjoflm nhteujkmybrf AED hfdyf nhtnb gkjoflb 'njuj rdflhfnf.

α

δ

a

b

α

βO

A

B

C

D

E

F46°

?

O

A

D

FEB C

A D

E

CB

x

A

B DE (0;3)

C (2;0)

y

x

A

B DE (0,3)

C (2,0)

y

α

δ

a

b

α

βO

A

B

C

D

E

F46°

?

O

A

D

FEB C

A D

E

CB

x

A

B DE (0;3)

C (2;0)

y

x

A

B DE (0,3)

C (2,0)

y

α

δ

a

b

α

βO

A

B

C

D

E

F46°

?

O

A

D

FEB C

A D

E

CB

x

A

B DE (0;3)

C (2;0)

y

x

A

B DE (0,3)

C (2,0)

y

α

δ

a

b

α

βO

A

B

C

D

E

F46°

?

O

A

D

FEB C

A D

E

CB

x

A

B DE (0;3)

C (2;0)

y

x

A

B DE (0,3)

C (2,0)

y

- 33 - B/km 2011 ujlf



Gecnfz cnhfybwf

- 34 - B/km 2011 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 1-12)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. Termites – insects that eat wood and paper – can cause serious to wooden houses.

(1) traffic (2) damage (3) custom (4) honor

2. The city of Braintree, Massachusetts, was called Monoticut before its was changed in 1640.

(1) age (2) name (3) time (4) wind

3. The Chinese believe that powdered antelope horn is an extremely medication for treating fever and headaches.

(1) effective (2) lengthy (3) patient (4) secretive

4. Sunlight to be colorless, but it is really made up of many different colors.

(1) attracts (2) arranges (3) admires (4) appears

5. The of tall, blond, blue-eyed people in Sweden is higher than in any other country in the world.

(1) defense (2) percentage (3) debate (4) principle

6. Nigeria began producing oil in the late 1950s, its economy was based mainly on agriculture.

(1) Besides (2) Until (3) Since (4) After

7. In Italy, angry pensioners proposed cuts in old age benefits which would lower their income by half.

(1) leaned towards (2) borrowed from (3) protested against (4) joined with

8. In Reykjavik, the capital of Iceland, many houses are heated using water hot springs.

(1) pumped from (2) balanced on (3) denied by (4) knotted into

This section contains 29 questions.The time allotted is 25 minutes.

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9. L.L. Zamenhof invented a new international language, Esperanto, in order to the goals of tolerance and world peace.

(1) contract (2) exhaust (3) advance (4) revise

10. As early as 350 B.C.E., Aristotle six logical arguments proving that the earth is round rather than flat.

(1) exaggerated (2) formulated (3) penetrated (4) accommodated

11. At the age of eighty, Norwegian painter Olaf Lutefisk – though blind – created some of the finest works of his career.

(1) devoutly (2) graciously (3) virtually (4) furiously

12. Both national and international laws the import and export of wildlife.

(1) restore (2) recommend (3) relieve (4) regulate

Restatements (Questions 13-19)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.

13. Some of the muscle movements involved in walking, running and swimming are coordinated not by the brain but by systems of neurons in the spinal cord.

(1) The actions of walking, running and swimming are controlled by the part of the brain which also controls the spinal cord's systems of neurons.

(2) It is not the brain but systems of neurons in the spinal cord which coordinate some of the muscle movements involved in walking, running and swimming.

(3) The brain has more control over the muscle movements involved in walking, running and swimming than it does over systems of neurons in the spinal cord.

(4) The actions of walking, running and swimming can only be performed if the spinal cord's systems of neurons and the brain are coordinated.

14. Environmentalists claim that the German government's priorities in dealing with garbage are misplaced: large sums of money are being spent on recycling, while the government is doing little to reduce the amount of garbage that is produced in the first place.

(1) Environmentalists claim that garbage disposal, recycling, and reducing the amount of garbage created should be given the highest priority by the German government.

(2) According to environmentalists, the German government should be making a greater effort to reduce levels of garbage production rather than spending large amounts of money on recycling.

(3) Environmentalists believe that unless the German government initiates programs to limit levels of garbage production now, it will have to spend large sums of money on recycling in the future.

(4) Thanks to environmentalists, the German government has begun to change its priorities, spending more money on reducing the amount of garbage that is produced and less on expensive recycling projects.

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15. Some American health insurance companies have discovered that alternative medicine – which for years had been the object of suspicion and hostility – can be

cheaper than conventional medical care.

(1) A number of American health insurance companies are still extremely hostile and suspicious towards alternative medicine, despite the fact that it is cheaper than traditional medical care.

(2) Over the years it has been shown that, contrary to what American health insurance companies claimed, alternative medicine does not cost more than conventional medical care.

(3) Despite negative attitudes towards alternative medicine in the past, some American health insurance companies have realized that it can be less costly than conventional medical care.

(4) American health insurance companies are likely to react with suspicion and hostility to the claim that alternative medicine can be cheaper than traditional medical care.

16. Despite his influential role in crafting the U.S. Constitution, George Mason refused to sign the document because it lacked a bill of rights.

(1) George Mason, who played a major part in writing the Constitution, would not sign it because it did not include a bill of rights.

(2) Despite his influential role in developing the Constitution, George Mason failed to convince the other signers to include a bill of rights in the document.

(3) George Mason agreed to sign the Constitution even though it lacked a bill of rights because he thought it would be an influential document.

(4) When it became clear that the Constitution would not contain a bill of rights, George Mason refused to play a role in crafting it.

17. Like his more celebrated brother, the poet William Butler Yeats, the painter Jack Butler Yeats drew much of his inspiration from the spectacular Irish landscape.

(1) The extraordinary scenery of Ireland inspired many of Jack Butler Yeats' paintings as well as much of the poetry of William Butler Yeats, his more famous brother.

(2) Many of Jack Butler Yeats' most famous paintings were inspired by the poetry that his celebrated brother, William Butler Yeats, wrote about the Irish landscape.

(3) Though William Butler Yeats is better known than his brother for celebrating Ireland's natural beauty, Jack Butler Yeats was also inspired by the Irish landscape.

(4) The spectacular scenery of Ireland has inspired many poets and painters, the best known of whom are the brothers Jack Butler Yeats and William Butler Yeats.

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18. Few developing nations are situated in regions where the soil and climate are conducive to large-scale food production.

(1) Few developing nations use techniques for large-scale food production that take full advantage of the regional soil and climate.

(2) Despite the good soil and climate in their regions, most developing nations are unable to produce enough food to feed their people.

(3) The ability of a developing country to feed its population is largely determined by the weather and type of soil in the area.

(4) In most developing countries, the weather and soil are not well suited to growing large amounts of food.

19. It is not inconceivable that the time will come when the sculptures Picasso created late in his life are regarded as of greater consequence than his paintings of the period.

(1) It is not inconceivable that the sculptures that Picasso created late in his life will one day be worth more than the paintings that he created during that period.

(2) Someday, the sculptures that Picasso made in his later years may actually be considered more significant than the paintings he made during that time.

(3) Picasso believed the time would come when the sculptures he made late in his life would be regarded as of greater consequence than his paintings of the same period.

(4) It is unlikely that the sculptures Picasso created in his later years will ever be considered as important as the paintings he created during that time.

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 20-24)

(1) Australia is the only country in the world that is also a continent. Although it is the smallest continent, it is the sixth-largest country. People often say that Australia is "down under" because it is located south of the equator, in the southern hemisphere. In fact, the name Australia comes from the Latin word australis, which means "southern."

(5) Like people in Canada, Britain and the United States, Australians speak English. But they have a different accent from people in any other English-speaking country. They also use some words that other English speakers do not use. For example, a ranch is called a "station" in Australia, and a friend is sometimes called a "cobber."

Because it is an island, Australia was separated from the rest of the world for (10) millions of years. As a result, its animal life developed differently from the animal life

in other places. For this reason, there are animals in Australia that cannot be found on any other continent. Some of the animals that are unique to Australia are the kangaroo,

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which carries its young in a pouch; the platypus, a mammal that lays eggs; and the emu, a large bird that cannot fly.

(15) Australia is well known for its farming and mining. It is the world's leading producer of sheep and wool, and it raises and exports large amounts of wheat and beef. Australia is also one of the world's leading exporters of important minerals such as copper, gold, iron, lead, silver and zinc.

Questions

20. The main purpose of the text is to -

(1) give some information about Australia (2) explain how Australia got its name (3) tell about the writer's trip to Australia (4) compare Australia to Canada, Britain and the United States

21. According to the first paragraph, how is Australia different from every other country?

(1) Australia is the largest country in the world. (2) "Australia" is a Latin word. (3) Australia is both a country and a continent. (4) Australia is located south of the equator.

22. According to the second paragraph, "my cobber lives on a station" means -

(1) my friend lives on a ranch (2) my family lives on a ranch (3) my friend lives in a city (4) my family lives in a city

23. In line 12, "are unique to Australia" means -

(1) live only in Australia (2) cannot be found in Australia (3) are found outside Australia (4) were brought to Australia

24. It can be understood from the last paragraph that zinc is -

(1) used in farming (2) sold to Australia (3) more important than copper or gold (4) found in Australia

- 39 - B/km 2011 ujlf



Text II (Questions 25-29)

(1) Barbara Held has had just about enough of accentuating the positive and eliminating the negative. She does not want to cheer up, look on the bright side or let a smile be her umbrella. In fact, she views such activities as rather worrisome. She is one of a small band of psychologists who believe that their profession – and indeed, American culture

(5) as a whole – has succumbed to an ethos of unrelenting positivity. This "tyranny of the positive attitude," as Held sees it, prescribes cheerfulness and optimism as a formula for success, resilience and good health, and equates negativity with failure, vulnerability and generally poor health.

Positive thinking is a staple of advice columns, self-help books, popular music and (10) even bumper stickers. But Held and her colleagues feel that, while positive thinking has

its advantages, a little complaining now and then is not such a bad thing. And the pressure to be upbeat, they assert, may make a person feel worse instead of better. "I'm worried that we're not making space for people to feel bad," says Held, a clinical psychologist at Bowdoin College in Brunswick, Maine, and the author of Stop Smiling,

(15) Start Complaining. "Life is very difficult," Held points out. "If you're having a hard time with something, it can make it even harder to cope if you feel pressure to act as if everything is okay when it's not."

David Watson, a professor of psychology at the University of Iowa, agrees. "There's compelling evidence that when people are falsely happy and upbeat, it's not (20) very healthy," he says. "It's not bad to be nervous and it's not bad to be angry," he adds.

"We have these emotions because they serve important functions for us."

Watson believes there is a useful role for what he terms "constructive negativity." In a recent series of studies, Watson asked subjects to focus on stressful or disturbing life events in a structured way, writing essays about the most traumatic experience of their

(25) lives, for example. The subjects' health improved measurably, and this improvement persisted for up to four months.

Questions

25. It can be inferred from the first paragraph that Barbara Held -

(1) does not think that optimism is a formula for success (2) believes that people should try to accentuate the positive (3) agrees with most psychologists about positive thinking (4) does not feel that vulnerability is healthy

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26. In line 9, "staple" is closest in meaning to -

(1) one advantage (2) standard part (3) serious problem (4) positive thinking

27. According to the third paragraph, David Watson believes that -

(1) positive thinking is dangerous and should be avoided (2) it is not good to pretend to be cheerful when you are sad (3) people should yell and scream whenever they are angry (4) it is better to be angry than to be nervous

28. According to the last paragraph, David Watson's research showed that -

(1) writing about trauma was more helpful than talking about it (2) writing about difficult experiences made people healthier (3) the people who complained the most were the healthiest (4) people became sick up to four months after experiencing trauma

29. An appropriate title for the text would be -

(1) Look on the Bright Side: How to Be More Optimistic (2) Why We Feel Bad: Being Cheerful Makes Us Sick (3) Recent Research on Anger: The Work of Held and Watson (4) Start Complaining: The Positive Aspects of Being Negative

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- 42 - B/km 2011 ujlf


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ENGLISHThe 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 1-12)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. Metals are able to conduct electricity because they contain loosely held electrons which can move from one molecule to another.

(1) kindly (2) loudly (3) freely (4) deeply

2. Queen Victoria's relations with Prime Minister Gladstone were friendly: she disliked him personally and disapproved of many of his policies.

(1) late for (2) above all (3) far from (4) close to

3. The largest type of tuna, the bluefin, can as much as 820 kilograms.

(1) weigh (2) prove (3) owe (4) turn

4. Without scholarships and other forms of assistance, most graduate students in the United States would not be able to pay for their studies.

(1) financial (2) principal (3) artificial (4) inspirational

5. While some countries have begun to address the problem of global warming, others continue to it entirely.

(1) impose (2) issue (3) ignore (4) injure

6. The tiny fire ant is so that it often attacks animals that are hundreds of times its size.

(1) instinctive (2) accurate (3) intelligent (4) aggressive

7. Many of hiccups are caused by indigestion.

(1) files (2) rates (3) cases (4) tones

8. Reports on the latest fashions were among the of Godey's Lady's Book, the first women's magazine in the United States.

(1) handles (2) efforts (3) contents (4) pillows

9. Ancient describe an imaginary creature called the griffin, which has the body of a lion and the beak and wings of an eagle.

(1) barriers (2) species (3) textures (4) legends

This section contains 29 questions.The time allotted is 25 minutes.

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10. Experts have determined that a painting long believed to be the work of Renaissance artist Botticelli is actually a 19th-century .

(1) debt (2) task (3) fake (4) peel

11. Alexandre Gustave Eiffel was a French engineer who built the famous tower in Paris that his name.

(1) bears (2) aims (3) spills (4) obeys

12. A close look at Thailand's geography reveals a country that is richly natural resources.

(1) inhaled in (2) impaired in (3) exploited by (4) endowed with

Restatements (Questions 13-19)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.

13. People who suffer from anosmia have no sense of smell.

(1) People with anosmia smell everything.(2) Anosmia can improve a person's sense of smell.(3) People with anosmia cannot smell anything.(4) Anosmia does not affect a person's sense of smell.

14. Frank Lloyd Wright's career as an architect lasted seventy years.

(1) Frank Lloyd Wright was the greatest architect of the last seventy years.(2) Frank Lloyd Wright, a famous architect, lived to be seventy years old.(3) Frank Lloyd Wright's career as an architect ended when he was seventy years old.(4) Frank Lloyd Wright worked as an architect for seventy years.

15. One of the oldest continuously inhabited cities on earth, Damascus was the capital of the Muslim world in the seventh and eighth centuries C.E.

(1) Although Damascus is one of the oldest capital cities in the Muslim world, few people lived there until the seventh or eighth century C.E.

(2) In the seventh and eighth centuries C.E., Damascus was the Muslim world's best-known capital city because it had such a large population.

(3) The capital of the Muslim world in the seventh and eighth centuries C.E., Damascus is one of the oldest cities in the world in which people have lived continuously.

(4) Sometime during the seventh or eighth century C.E., Damascus – one of the oldest cities on earth – was chosen by the Muslims to be their capital, and it continues to be an important city to this day.

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16. Most bacteria cannot survive in an acidic environment, but H. pylori can, and they are not the only exception.

(1) It is impossible for most bacteria, except for H. pylori and a few other types, to exist in an acidic environment.

(2) H. pylori, like most other bacteria, have a better chance of surviving in an acidic environment than in a non-acidic one.

(3) While H. pylori are like other bacteria in that they cannot exist in an acidic environment, they are unique in other ways.

(4) The main difference between H. pylori and other types of bacteria is that the former cannot live in acidic environments.

17. Regrettably, Sicily's most distinguished writer, Leonardo Sciascia, whose early novels denounced the collusion between politicians and Mafia members, has now turned against groups which are fighting the Mafia.

(1) Leonardo Sciascia regrets the fact that he once wrote novels which did not denounce the ties between politicians and Mafia members, as he is now trying to help in the fight against the Mafia.

(2) It is unfortunate that Leonardo Sciascia, after having written novels criticizing the close ties between politicians and Mafia members, is now opposed to anti-Mafia groups.

(3) Anti-Mafia groups have asked Leonardo Sciascia to stop writing novels which praise Mafia members and politicians with Mafia connections, but, unfortunately, he has refused.

(4) Leonardo Sciascia claims that he strongly objects to the Mafia's activities, but, regrettably, his latest novels portray both politicians with Mafia connections and Mafia members as heroes.

18. The World Health Organization (WHO) predicts that, by 2010, an extensive international vaccination campaign will have eradicated polio.

(1) According to WHO, polio will be eliminated by 2010, thanks to a worldwide vaccination campaign.

(2) WHO hopes that its international vaccination campaign to eradicate polio will be completed by 2010.

(3) Despite an extensive vaccination campaign, WHO fears that polio will not be eliminated by 2010.

(4) WHO will initiate another vaccination campaign in 2010 to ensure that polio is totally eradicated.

19. Among the peoples of Eastern Europe, only the Romanians trace their ancestry back to the ancient Romans.

(1) The Romanians are the sole Eastern European descendants of the ancient Romans.(2) Although Romania is named for ancient Rome, Romanians are actually of Eastern

European ancestry.(3) Of the Eastern Europeans who have tried to trace their ancestry back to the ancient

Romans, the only people to succeed are Romanian.(4) Romanians are proud to be among the Eastern Europeans who are descended from

the ancient Romans.

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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 20-24)

(1) Paper is messy, bulky, high-maintenance and, in sufficient quantities, a fire hazard. Technologists have long wanted to get rid of it. How much cleaner and neater the world would be if everything were stored electronically, to be searched for and retrieved at the touch of a couple of buttons.

(5) In the real world, however, every office that gets a computer in the belief that it will reduce the use of paper discovers the contrary. In fact, the consumption of office paper has more than doubled worldwide since the first personal computers were introduced in 1981.

Abigail Sellen and Richard Harper decided to look into this paradox. Why are (10) we still devoted to paper despite its many problems? The usual answer given by

scientists is that screen technology is simply not good enough. Paper has better contrast ratios, making it less tiring to read. Consumers are likely to point out that paper is portable, does not need batteries or electricity, and is unlikely to go blank without warning.

(15) In The Myth of the Paperless Office, Sellen and Harper show that these are the least of the reasons why paper endures. Their exhaustive research into office behavior reveals that most people, when reading material for work, make notes, add comments in the margins, highlight material they want to return to, and read across several documents at once. All of these activities are easier to perform with paper than with computers.

(20) Furthermore, as a physical object, a paper document can offer a wealth of information. You can tell at a glance how far into a document you are; you can easily determine if other readers have commented on specific sections; you can flip back and forth between two pages by keeping a finger on each one. As Sellen and Harper point out, such common, effortless activities become much more difficult with the "help" of a

(25) computer.

However, the volume is not just a hymn to paper. The final quarter of their book addresses what Sellen and Harper see as the central challenge of the modern office:

how to design technology that supports rather than attempts to replace the use of paper.

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Questions

20. Which of the following statements is closest to the opinion expressed in the first paragraph?

(1) People do not work well in messy offices.(2) It is difficult to retrieve information that is stored electronically.(3) It would be better to keep records on computers than on paper.(4) Most modern offices are fire hazards.

21. In line 6, "discovers the contrary" could be restated as -

(1) finds it is necessary to buy more and more computers(2) realizes that computers actually increase the amount of paper in an office(3) finds that not everything can be stored electronically(4) realizes that computers are as messy, bulky and high-maintenance as paper

22. In line 15, "these" refers to -

(1) computers(2) most people(3) the findings of Sellen and Harper(4) the explanations given by scientists and consumers

23. The main purpose of the fourth paragraph is to -

(1) compare Sellen and Harper's findings to those of scientists(2) discuss the advantages and disadvantages of paper documents(3) compare people's reading habits at work and at home(4) explain why people continue to use paper in their offices

24. A good title for the text would be -

(1) Why Paper Endures: The Myth of the Paperless Office(2) Designing Better Technology: The Central Challenge of the Modern Office(3) Problems with Paper: Persuading Workers to Use Computers(4) No More Paper: Retrieving Information at the Touch of a Button

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Text II (Questions 25-29)

(1) When we think of archeologists, we usually picture them under the hot sun, digging deep pits in the ground and carefully removing sand and dirt from ancient remains. In the past few decades, however, many important archeological discoveries have been made not on land but under water. These discoveries have given archeologists a much

(5) greater understanding of ancient shipbuilding techniques and ship design. The most exciting of these finds are the subject of Lionel Casson's book Ships and Seafaring in Ancient Times.

Where and when did people begin to build seafaring vessels? According to Casson, archeological evidence from Australia, Sardinia and Crete shows that people have been

(10) travelling by water for over ten thousand years. However, the oldest actual remains of watercraft, found in Egypt, date back only to 3000 B.C.E. These ancient vessels were shaped more like buckets than like boats and were powered both by sails and by oars.

The most dramatic changes in shipbuilding, according to Casson, took place between 2000 and 1000 B.C.E. During this period, the design of the boats and their

(15) sails and the placement of the oars were all modified to make the vessels stronger and faster. But the most significant change was that two distinct types of ships emerged – sailing ships and galleys. The sailing ships were wide and were used for transporting goods. The galleys, which were propelled by oars alone, were long and narrow and were used in warfare.

(20) Casson devotes many pages to describing the galleys, which were the most impressive of the ancient craft. Empires spent vast sums of money on developing galleys, which brought them victory in battle.

Questions

25. The main purpose of the first paragraph is to -

(1) introduce the field of underwater archeology(2) compare different archeological techniques(3) present information about ancient shipbuilding and ship design(4) discuss the book Ships and Seafaring in Ancient Times

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26. According to the first paragraph, Ships and Seafaring in Ancient Times -

(1) is based on Lionel Casson's archeological work on land and under water(2) has given archeologists a greater understanding of ancient shipbuilding (3) has led to many important archeological discoveries(4) describes underwater archeological discoveries of the past few decades

27. It can be understood from the second paragraph that people in Australia, Sardinia and Crete -

(1) learned how to build boats from the Egyptians(2) used watercraft as early as 10,000 years ago(3) began to build water vessels around 3000 B.C.E.(4) built boats that were shaped like buckets

28. It can be understood from the third paragraph that before 2000 B.C.E. -

(1) there was only one basic type of watercraft(2) most ships were used for transporting goods(3) galleys were used mainly for warfare(4) two distinct kinds of ships emerged

29. In line 18, "propelled" is closest in meaning to -

(1) performed(2) prepared(3) powered(4) polished

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51


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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 приблизительную оценку за экзамен в целом, которая вычисляется на основании оценок за три вышеупомянутые области.

Вычисление предварительных оценок за области экзамена

За 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 (между 0 и 52); предварительная оценка за область количественного мышления (между 0 и 50); предварительная оценка за область английского языка (между 0 и 58).

Вычисление стандартных оценок за области экзамена

Каждой предварительной оценке соответствует стандартная оценка на единой шкале. Стандартная оценка предназначена для устранения влияния различий в вариантах, языках и датах экзамена. Вы сможете определить Ваши стандартные оценки, воспользовавшись приведенной таблицей. По окончании данного этапа Вы получите три приблизительные стандартные оценки (от 50 до 150):

стандартную оценку за область словесного мышления (V)стандартную оценку за область количественного мышления (Q)стандартную оценку за область английского языка (Е)

52


Предвари-тельная оценка

Оценки по единой шкале

Словес-ное

Количест-венное

Англий-ский

0 50 50 50

1 51 51 51

2 52 52 52

3 53 54 53

4 54 56 54

5 55 58 55

6 56 60 56

7 57 62 57

8 58 64 58

9 59 66 59

10 60 68 60

11 61 70 61

12 62 72 62

13 63 74 63

14 64 76 64

15 66 78 65

16 68 80 66

17 70 82 67

18 73 84 68

19 75 86 69

20 77 88 70



Словес-ное



21 79 90 72

22 81 92 74

23 84 95 75

24 86 97 77

25 88 99 79

26 90 101 81

27 92 103 83

28 95 105 85

29 97 107 87

30 99 109 89

31 101 111 91

32 103 113 93

33 106 115 95

34 108 117 97

35 110 119 99

36 112 121 101

37 115 123 103

38 117 126 104

39 120 128 106

40 122 130 108

41 124 132 110



Словес-ное



42 126 134 112

43 129 136 114

44 131 138 116

45 133 140 118

46 135 142 120

47 137 144 122

48 139 146 123

49 141 148 125

50 144 150 127

51 147 129

52 150 132

53 135

54 138

55 141

56 144

57 147

58 150

Таблица перехода от предварительных оценокк стандартным оценкам

53


Взвешенная средняя оценка

Приблизительная общая психометри-

ческая оценка

50 200

51-55 221-248

56-60 249-276

61-65 277-304

66-70 305-333

71-75 334-361

76-80 362-389

81-85 390-418

86-90 419-446

91-95 447-474

96-100 475-503

Взвешенная средняя оценка

Приблизительная общая психометри-

ческая оценка

101-105 504-531

106-110 532-559

111-115 560-587

116-120 588-616

121-125 617-644

126-130 645-672

131-135 673-701

136-140 702-729

141-145 730-761

146-149 762-795

150 800

Вычисление приблизительной общей психометрической оценкиДля того чтобы приблизительно определить Вашу общую психометрическую оценку, Вам следует сначала вычислить взвешенную среднюю оценку.При вычислении общей психометрической 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 E5

2 2+ + . Для вычисления приблизительной общей психометрической оценки Вам следует воспользоваться таблицей перехода от взвешенной средней оценки к общей психометрической оценке, которая приведена ниже. Данные таблицы сгруппированы по интервалам.

Таблица перехода от взвешенной средней оценки к общейпсихометрической оценке

Образец вычисления приблизительной общей психометрической оценкиПредположим, что Вы получили следующие предварительные оценки:38 правильных ответов в области словесного мышления (в обоих разделах).31 правильный ответ в области количественного мышления (в обоих разделах).28 правильных ответов в области английского языка (в обоих разделах).На основании таблицы на предыдущей странице:Ваша приблизительная стандартная оценка за область словесного мышления равна V=117.Ваша приблизительная стандартная оценка за область количественного мышления равнаQ = 111.Ваша приблизительная стандартная оценка за область английского языка равна Е = 85.

Ваша взвешенная средняя оценка составляет: 1= .5117 2 1 211 85 08 2$ $+ +] ]g g

В приведенной выше таблице эта оценка располагается в интервале 106-110. Таким образом, соответствующая ей общая психометрическая оценка находится в интервале 532-559.

54


Интервал оценок

Процент экзаменовавшихся, чья оценка находится:

нижеинтервала

в пределахинтервала

вышеинтервала

200-349 0 3 97

350-374 3 3 94

375-399 6 4 90

400-424 10 5 85

425-449 15 6 79

450-474 21 7 72

475-499 28 8 64

500-524 36 9 55

525-549 45 8 47

550-574 53 9 38

575-599 62 8 30

600-624 70 8 22

625-649 78 7 15

650-674 85 6 9

675-699 91 4 5

700-724 95 3 2

725-800 98 2 0

Перевод оценки в процентыПриведенная ниже таблица перевода интервалов в проценты поможет Вам понять значение полученной Вами приблизительной оценки. Данные этой таблицы распределены по 17 категориям. Каждая категория соответствует определенному интервалу оценок. Для каждого интервала оценок приведен процент экзаменовавшихся, получивших более высокую оценку, процент получивших оценку в пределах данного интервала и процент получивших более низкую оценку. Например, общая оценка за экзамен 518 находится в интервале 500-524. Около 36% экзаменовавшихся получили оценку ниже данного интервала оценок, около 9% - оценку в пределах данного интервала, а около 55% - 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

CD

SE

CT

ION 4

ل فص

/ק

פר

***

ת לו

אש

המ

וגלד

ئلة أس

ذجمنا

SA

MP

LE

QU

ES

TIO

NS

ان

عنو/ ال

ת וב

תכ

שם משפחה ושם פרטי / اسم العائلة واالسم الشخصي

A

B

0

1

2

3

4

5

6

7

8

9

A

B

0

1

2

3

4

5

6

7

8

9

A

B

0

1

2

3

4

5

6

7

8

9

A

B

0

1

2

3

4

5

6

7

8

9

A

B

0

1

2

3

4

5

6

7

8

9

A

B

0

1

2

3

4

5

6

7

8

9

A

B

0

1

2

3

4

5

6

7

8

9

A

B

0

1

2

3

4

5

6

7

8

9

0

1

2

3

4

5

6

7

8

9

0

1

2

3

4

5

6

7

8

9

0

1

2

3

4

5

6

7

8

9

0

1

2

3

4

5

6

7

8

9

0

1

2

3

4

5

6

7

8

9

0

1

2

3

4

5

6

7

8

9

0

1

2

3

4

5

6

7

8

9

0

1

2

3

4

5

6

7

8

9

1

3

4

اسكّر

م الرق /

ת בר

חוס'

מ

DATE תאריך LANGUAGE שפה

מס' זיהוי / رقم الهوية

SE

CT

ION 1

ل فص

/ק

פר

1 2 3 41

1 2 3 42

1 2 3 43

1 2 3 44

1 2 3 45

1 2 3 46

1 2 3 47

1 2 3 48

1 2 3 49

1 2 3 410

1 2 3 411

1 2 3 412

1 2 3 413

1 2 3 414

1 2 3 415

1 2 3 416

1 2 3 417

1 2 3 418

1 2 3 419

1 2 3 420

1 2 3 421

1 2 3 422

1 2 3 423

1 2 3 424

1 2 3 425

1 2 3 426

1 2 3 427

1 2 3 428

1 2 3 429

1 2 3 430

SE

CT

ION 2

ل فص

/ק

פר

1 2 3 41

1 2 3 42

1 2 3 43

1 2 3 44

1 2 3 45

1 2 3 46

1 2 3 47

1 2 3 48

1 2 3 49

1 2 3 410

1 2 3 411

1 2 3 412

1 2 3 413

1 2 3 414

1 2 3 415

1 2 3 416

1 2 3 417

1 2 3 418

1 2 3 419

1 2 3 420

1 2 3 421

1 2 3 422

1 2 3 423

1 2 3 424

1 2 3 425

1 2 3 426

1 2 3 427

1 2 3 428

1 2 3 429

1 2 3 430

SE

CT

ION 3

ل فص

/ק

פר

1 2 3 41

1 2 3 42

1 2 3 43

1 2 3 44

1 2 3 45

1 2 3 46

1 2 3 47

1 2 3 48

1 2 3 49

1 2 3 410

1 2 3 411

1 2 3 412

1 2 3 413

1 2 3 414

1 2 3 415

1 2 3 416

1 2 3 417

1 2 3 418

1 2 3 419

1 2 3 420

1 2 3 421

1 2 3 422

1 2 3 423

1 2 3 424

1 2 3 425

1 2 3 426

1 2 3 427

1 2 3 428

1 2 3 429

1 2 3 430

1 2 3 41

1 2 3 42

1 2 3 43

1 2 3 44

1 2 3 45

1 2 3 46

1 2 3 47

1 2 3 48

1 2 3 49

1 2 3 410

1 2 3 411

1 2 3 412

1 2 3 413

1 2 3 414

1 2 3 415

1 2 3 416

1 2 3 417

1 2 3 418

1 2 3 419

1 2 3 420

1 2 3 421

1 2 3 422

1 2 3 423

1 2 3 424

1 2 3 425

1 2 3 426

1 2 3 427

1 2 3 428

1 2 3 429

1 2 3 430

SE

CT

ION 5

ل فص

/ק

פר

1 2 3 41

1 2 3 42

1 2 3 43

1 2 3 44

1 2 3 45

1 2 3 46

1 2 3 47

1 2 3 48

1 2 3 49

1 2 3 410

1 2 3 411

1 2 3 412

1 2 3 413

1 2 3 414

1 2 3 415

1 2 3 416

1 2 3 417

1 2 3 418

1 2 3 419

1 2 3 420

1 2 3 421

1 2 3 422

1 2 3 423

1 2 3 424

1 2 3 425

1 2 3 426

1 2 3 427

1 2 3 428

1 2 3 429

1 2 3 430

SE

CT

ION 6

ل فص

/ק

פר

1 2 3 41

1 2 3 42

1 2 3 43

1 2 3 44

1 2 3 45

1 2 3 46

1 2 3 47

1 2 3 48

1 2 3 49

1 2 3 410

1 2 3 411

1 2 3 412

1 2 3 413

1 2 3 414

1 2 3 415

1 2 3 416

1 2 3 417

1 2 3 418

1 2 3 419

1 2 3 420

1 2 3 421

1 2 3 422

1 2 3 423

1 2 3 424

1 2 3 425

1 2 3 426

1 2 3 427

1 2 3 428

1 2 3 429

1 2 3 430

SE

CT

ION 7

ل فص

/ק

פר

1 2 3 41

1 2 3 42

1 2 3 43

1 2 3 44

1 2 3 45

1 2 3 46

1 2 3 47

1 2 3 48

1 2 3 49

1 2 3 410

1 2 3 411

1 2 3 412

1 2 3 413

1 2 3 414

1 2 3 415

1 2 3 416

1 2 3 417

1 2 3 418

1 2 3 419

1 2 3 420

1 2 3 421

1 2 3 422

1 2 3 423

1 2 3 424

1 2 3 425

1 2 3 426

1 2 3 427

1 2 3 428

1 2 3 429

1 2 3 430

SE

CT

ION 8

ل فص

/ק

פר

1 2 3 41

1 2 3 42

1 2 3 43

1 2 3 44

1 2 3 45

1 2 3 46

1 2 3 47

1 2 3 48

1 2 3 49

1 2 3 410

1 2 3 411

1 2 3 412

1 2 3 413

1 2 3 414

1 2 3 415

1 2 3 416

1 2 3 417

1 2 3 418

1 2 3 419

1 2 3 420

1 2 3 421

1 2 3 422

1 2 3 423

1 2 3 424

1 2 3 425

1 2 3 426

1 2 3 427

1 2 3 428

1 2 3 429

1 2 3 430

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