Maths Grade 04 - (S) Binder.

.Ks;h 4 fY%aKsh wOHdmk m%ldYk fomd¾;fïka;=j i

m<uqjk uqøKh - 2018 fojk uqøKh - 2019 f;jk uqøKh - 2020 ish¨ ysñlï weúß‚ ISBN 978-955-25-0243-9 wOHdmk m%ldYk fomd¾;fïka;=j úiska kqf.af.dv\" kdj, mdr\" ks¾udK udj;\" wxl 227/30 ork ia:dkfha msysá keKs, mí,sflaIka ^mqoa.,sl& iud.fuys uqøKh lrjd m%ldYhg m;a lrk ,È' Published by : Educational Publications Department Printed by : Nanila Publication (Pvt) Limited ii

Y%S ,xld cd;sl .Sh Y%S ,xld ud;d wm YS% ,xld\" kfuda kfuda kfuda kfuda ud;d iqkaor isßnßkS\" iq/`os w;s fidanudk ,xld OdkH Okh fkl u,a m,;=re msß ch N+ñh ruHd wmyg iem isß fi; iokd Ôjkfha ud;d ms<s.kq uek wm Nla;s mQcd kfuda kfuda ud;d wm YS% ,xld\" kfuda kfuda kfuda kfuda ud;d Tn fõ wm úoHd Tn u h wm i;Hd Tn fõ wm Yla;s wm yo ;=< Nla;s Tn wm wdf,dafla wmf.a wkqm%dfKa Tn wm Ôjk fõ wm uqla;sh Tn fõ kj Ôjk foñfka ks;sk wm mqnqÿ lrka ud;d {dk ù¾h jvjñk /f.k hkq uek ch N+ñ lrd tl ujlf. ore le, neúkd huq huq ù fkdmud fm%au jvd ieu fNao ÿ/r Þ kfuda kfuda ud;d wm YS% ,xld\" kfuda kfuda kfuda kfuda ud;d iii

wms fjuq tl ujlf. orefjda tl ksjfiys fjfikd tl mdge;s tl reêrh fõ wm lh ;=< ÿjkd tneúks wms fjuq fidhqre fidhqßfhda tl f,i tys jefvkd Ôj;a jk wm fuu ksjfia fid¢k isáh hq;= fõ ieug u fu;a lreKd .=fKkS fj<S iu.s oñkS rka ñKs uq;= fkd j th u h iem;d lsis l, fkdu Èrkd - wdkkao iurfldaka - iv

fmrjok ukq.=Koï iqrlskakg ks;s lemjqKq l=i,;d msß ukqIH j¾.hdg fï f,dalh jvd;a fid`ÿre ìula njg m;a l< yels h' ta i`oyd rgl wOHdmkh ksr;=reju n,iïmkak lr.;hq;= jkafka wkd.; jevf,dj ms<sn`oj o ukd wjÈfhka isáñks' Èfkka Èk úYaj .ïudkh fj; tlajk idrj;a kj oekqu wfma bf.kqï b.ekaùï l%shdj,sh iu`. uqiqlr .ekSu wksjd¾hfhka isÿúh hq;= w;ru wmf.a hy.=Koï o ta yd tald;añl lr.kakg wu;l fkdl< hq;= h' fuu idOkSh .=Kdx. /l.ksñka jvd;a hym;a isiq mrmqrla ks¾udKh lsÍfï W;alDIag fufyjrg wjeis .=Kd;aul bf.kqï wdOdrl iïmdokh lsÍu wm fomd¾;fïka;=fõ m%uqL mrud¾:h nj wjOdrKh lrñ' fkal úis;=re is;a;ï yd wl=rej,ska imsß fï fm<fmd;a wkd.; f,djg u`. t<s o,ajk m%§mia;ïN n`ÿ h' Tn mdi,a ìfuka iuq.;a Èkl jqj\" ;=áka isys l< yels ñysß u;l\" fï mdvï fmd;a msgq w;r /`§ ;sfnkq ksiel h' .=re ;rej, fkdu`o wdf,dalh ,nd .ksñka Tn fï oekqu yd úkaokh leál< wk.s ;Hd.fhka ksis m, fk<d .; hq;af;a ;j ;j;a oekqï wjldY fj; hqyqiq¨j mshuksñks' rch fm<fmd;a fjkqfjka jeh l< wm%udK jQ OkialkaOhg wñ, w.hla ,nd Èh yelafla mdi,a isiq ore oeßhka jQ Tng muKs' Èúh fj; yUd tk wfkal ndOl Èßfhka chf.k\" fyg f,dj iqmqIams; lrjkakg oefha oreoeßhkag yelsfõjdhs wm%udK iafkayfhka wdYS¾jdo lrkafkñ' fm<fmd;a iïmdok l%shdj,sh fjkqfjka ukd lemùulska iïm;Aodhl;ajh iemhQ f,aLl\" ixialdrl yd we.hqï uKav, idudðl msßjrg;a wOHdmk m%ldYk fomd¾;fïka;=fõ ld¾h uKav,fha ieug;a udf.a yomsß ia;=;sh msßkuñ' mS' tka' whs,mafmreu wOHdmk m%ldYk flduidßia ckrd,a wOHdmk m%ldYk fomd¾;fïka;=j biqremdh n;a;ruq,a, 2020'06'26 v

kshdukh yd wëlaIKh - mS' tka' whs,mafmreu wOHdmk m%ldYk flduidßia ckrd,a wOHdmk m%ldYk fomd¾;fïka;=j fufyhùu - ví' ta' ks¾u,d mshiS,s wOHdmk m%ldYk flduidßia ^ixj¾Ok& wOHdmk m%ldYk fomd¾;fïka;=j iïnkaëlrKh - fla' fla' ysud,s m%sho¾YskS ksfhdacH flduidßia wOHdmk m%ldYk fomd¾;fïka;=j ixialdrl uKav,h wd¾' tï' l=uqÿu,S o is,ajd - wOHlaI ^je'n'& m%d:ñl wOHdmk fomd¾;fïka;=j cd;sl wOHdmk wdh;kh\" uyr.u tÉ' tï' lreKdr;ak fyar;a - WmmSGdêm;s idßmq;a; cd;sl wOHdmk úµdmSGh ksÜgUqj wdpd¾h .hka;s ud,sld jvkïì - fcHIaG lÓldpd¾h ks,aj,d cd;sl wOHdmk úµdmSGh ú,amsg\" wl=/iai jhs' udfk,a .=Kisxy - ksfhdacH wOHdmk wOHlaI m%d:ñl wOHdmk YdLdj wOHdmk wud;HdxYh fla' fla' ysud,s m%sho¾YskS - ksfhdacH flduidßia wOHdmk m%ldYk fomd¾;fïka;=j vi

f,aLl uKav,h fla' ta' Ñka;d pdreu;S uqksodi - úÿy,am;s fiajh nm$fyda mqjlamsáh W;=r uyd úµd,h mqjlamsáh wrkaorf.a fodak m%shdks mqIamsld - iyldr úÿy,am;s nm$ch$fldÜgdj W;=r O¾umd, úµd,h fydalkaor mdr\" mkaksmsáh ã' wkacdks o fldia;d oikdhl - .=re fiajh úYdLd úoHd,h jðr mdr\" fld<U 05 ã' fla' ta' fikr;a hdmd - .=re fiajh wkq,d úoHd,h kqf.af.dv ud;rf.a {dk,;d - .=re fiajh wdkkao úoHd,h fld<U 10 msgljrh yd Ñ;% ks¾udKh fla' ta' iuka l¿fndaú, - lÓldpd¾h ydmsá.ï cd;sl wOHdmk úµdmSGh óß.u isxy, NdId ixialrKh rxð;a b¨mamsáh - wOHlaI ^ysgmq& .%ka: m%ldYk WmfoaYl uKav,h wOHdmk wud;HdxYh mß.Kl wlaIr ixfhdackh fÊ' tÉ' ufkdaßld m%shx.kS - ksIamdok wxYh wOHdmk m%ldYk fomd¾;fïka;=j vii

iïmdol uKav, igyk mdi,a m%d:ñl úIh ud,dj hdj;ald,Sk lrñka ilik ,o kj úIh ud,dj 2016 j¾Ifha § m<uqjk fY%aKsfhka wdrïN úh' ta wkqj 2017 j¾Ifha § fojk fYa%Kshg o 2018 j¾Ifha § ;=kajk fY%aKshg o kj úIh ud,dj wkqj fm<fmd;a ilia úh' 2019 j¾Ihg y;rjk fY%aKsh i`oyd kj .Ks;h fm<fmd;la ilia lr we;' .=re ud¾f.damfoaYfhys i`oyka l%shdldrlïj, isiqka ksr; lr ùug i,iajd fm<fmdf;ys wNHdij,g fhduq úh yels mßÈ fm<fmd; ilia lsÍu iïmdol uKav,fha wruqK úh' YsIH flakaøshbf.kqï b.ekaùï l%shdj,sh ;=<ska ,nk w;a±lSï jvd;a ;yjqre lr .ekSug;a\" isiqka we.hSug;a fuys we;=<;a wNHdi fhdod .; yels h' .=re ud¾f.damfoaYh u.ska bÈßm;a lr we;s bf.kqï b.ekaùï wkqms<sfj< wkqj fuys wNHdi we;=<;a lr we;' fuu wNHdij,ska fldgilg fmdf;ys u ms<s;=re ,súh yels w;r fldgila wNHdi fmdf;ys ,shd ms<s;=re iemhsh hq;= h' fuys § m%Yakh msgm;a fkdlr wod< wNHdi wxlhg ms<s;=r muKla ,sùu m%udKj;a fõ' 4 fY%aKsh kj .Ks;h fm<fmd;\" jev fmd;la f,i o Ndú; l< hq;= neúka iEu jirl § u isiqkag w¨;ska fuu fmd; ,nd Èh hq;= fõ' fm<fmd; mßYS,kh lsÍfuka isiqka ;=< ks¾udKYS,S;ajh\" .eg¨ úi`§fï yelshdj\" ikaksfõok yelshdj\" l%uj;a nj hkdÈ l=i,;d j¾Okh wfmalaId flf¾' tlsfkld iu. iqyoj lghq;= lrñka\" mßirhg yd jev f,dalhg wkq.; fjñka\" úfõlh úfkdaofhka .; lrñka iunr fm!reIhlska hqla; Wodr mqrjeishl= ùug wjYH ksmqK;d <`.d lr .ekSug 4 fYa%Ksh .Ks;h fm<fmd; isiq orejkag WmldÍ jkq ±lSu iïmdol uKav,fha n,dfmdfrd;a;=jhs' iïmdol uKav,h viii

mgqk mßÉfþoh mdvu msgq wxlh 1 ixLHd - 1 1 2 tl;= lsÍu - 1 6 3 È. uekSu - 1 9 4 wvq lsÍu - 1 13 5 ixLHd rgd 15 6 .=K lsÍu - 1 16 7 Nd. 20 8 >k jia;= yd yev;, 24 9 ixLHd - 2 27 10 m%ia;dr - 1 30 11 fn§u - 1 33 12 mqkÍlaIKh - m<uqjk jdrh 36 13 mßudj yd Odß;dj - 1 44 14 nr uekSu - 1 47 15 ÈYd 51 16 tl;= lsÍu - 2 54 17 ld,h - 1 57 18 wvq lsÍu - 2 59 19 uqo,a - 1 61 ix

20 .=K lsÍu - 2 67 21 È. uekSu - 2 71 22 ld,h - 2 73 23 fn§u - 2 76 24 mqkÍlaIKh - fojk jdrh 81 25 ixLHd - 3 90 26 tl;= lsÍu - 3 92 27 nr uekSu - 2 95 28 wvq lsÍu - 3 99 29 mßudj yd Odß;dj - 2 101 30 .=K lsÍu - 3 103 31 fn§u - 3 105 32 frdau ixLHdxl 108 33 m%ia;dr - 2 109 34 uqo,a - 2 111 35 yev yd wjldYh 115 36 mqkÍlaIKh - f;jk jdrh 118 37 mqkÍlaIKh - jir wjidk 127 weuqKqï x

ixLHd - 1 1 1 ysia;eka iïmQ¾K lrkak' ixLHd lshjkak' (1) 99 100 103 106 240 (2) 234 236 376 379 (3) 372 507 607 (4) 499 503 (5) 601 604 (6) 7..2...8. (7) ...... (8) 9..6...8. (9) (10) 99......99.........54... 7..2...9. ...... ...... ...... ...... ...... ...... ...... 9..8...3. ...... ...... ...... ...... ...... ...... ...... ...... ...... ...... 9....7......3.. ...... ...... ...... 8..5...1. ...... 9..7...9. 8..5...0. ...... 2 j.=j iïmQ¾K lrkak' ixLHdj ixLHd kduh 99 wkQ kjh foishh 307 444 mkaish ;sy kjish kjh 3 my; oelafjk ixLHdj, ixLHd kduh ,shkak' (1) 500 - ............................. (4) 800 - ............................. (2) 600 - ............................. (5) 900 - ............................. (3) 700 - ............................. 1 fkdñf,a fnod yeÍu i`oyd h'

ixLHd - 1 1 4 háka bß we`È ixLHdfõ ixLHd kduh ,shkak' (1) úch úoHd,fha m%d:ñl wxYfha uq¿ isiqka .Kk 856 ls' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' (2) úlsKSug f.kd ì;a;rj,ska\" ì;a;r 150 la ì`§ ;snqKs' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' (3) lïy,l i`ÿod Èk ksmojQ uq¿ mdjyka .Kk 249 ls' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' (4) 4 fY%aKsfha isiqkag fnod §u i`oyd f.fkk ,o .Ks;h fm<fmd;a .Kk 509 ls' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' (5) jy,h fiú,s lsÍug f.kd W¿ leg .Kk 375 ls' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' 5 j.=fõ ysia;eka mqrjkak' ixLHdj b,lalu b,lalu msysá b,lalfuka ia:dkh ±lafjk w.h 236 6 743 4 tlia:dkh 6 370 40 505 0 oyhia:dkh 837 0 900 9 ishhia:dkh 6 ms<s;=re ,shkak' (1) ishhia:dkh 4\" oyhia:dkh 7 iy tlia:dkh 5 jk f,i b,lalï msysgk ixLHdj l=ula o@ (2) tlia:dkh 0\" ishhia:dkh 3 iy oyhia:dkh 6 jk f,i b,lalï msysgk ixLHdj l=ula o@ (3) oyhia:dkh 0\" tlia:dkh 0 iy ishhia:dkh 7 jk f,i b,lalï msysgk ixLHdj l=ula o@ (4) ishhia:dkh 9\" tlia:dkh 9 iy oyhia:dkh 0 jk f,i b,lalï msysgk ixLHdj l=ula o@ 2

ixLHd - 1 1 7 .Kl rduqfõ ksrEms; ixLHdj ,shkak' WodyrKh (- (1) is o t is o t ..2.....3......4.... ................. (2) (3) is o t is o t ................. ................. 3

ixLHd - 1 1 (4) (5) is o t is o t ................. ................. 8 ixLHd ySm;a u.ska ksrEms; ixLHdj ,shkak' WodyrKh (- 3 00 (1) 1 0 0 (2) 8 0 0 50 60 70 2 .......................... 2 .......................... .........3...7..2............ (3) 7 0 0 (4) 9 0 0 (5) 9 0 0 3 8 90 9 .......................... .......................... .......................... 4

ixLHd - 1 1 9 i;shla ;=< § fjf<`oi,l wf,ú jQ mqj;am;a ms<sn`o f;dr;=re my; ±lafõ' udOHh mqj;am;a .Kk isxy, 987 fou< 789 bx.%Sis 798 (1) jeäfhka u wf,ú ù we;af;a l=uk udOH mqj;am;a o@ tu ixLHdj lSh o@ (2) wvqfjka u wf,ú ù we;af;a l=uk udOH mqj;am;a o@ tu ixLHdj lSh o@ (3) udOH ;=fkka u úlsKS we;s mqj;am;a jeä u ixLHdfõ isg wvq u ixLHdj f;la mámdáhg ,shkak' 10 51 94 83 7 0 6 (1) tla tla fldgqfõ we;s b,lalï ;=ku Ndú;fhka iEÈh yels úYd, u ixLHd fjk fjk u ,shkak' (2) ,shk ,o ixLHd ;=k l=vd u ixLHdfõ isg úYd, u ixLHdj f;la mámdáhg ,shkak' (3) tla tla fldgqfõ we;s b,lalï ;=ku Ndú;fhka iEÈh yels l=vd u ixLHd fjk fjk u ,shkak' (4) ,shk ,o ixLHd ;=k úYd, u ixLHdfõ isg l=vd u ixLHdj f;la mámdáhg ,shkak' 5

tl;= lsÍu - 1 2 1 tlia:dkfha isg oyhia:dkhg f.k hñka tl;= lrkak' ishfha tajd oyfha tajd tfla tajd WodyrKh (- is o t 1 137 +218 355 (1) (2) (3) (4) (5) 133 418 225 104 348 +2 4 8 +3 1 8 +4 4 6 +5 3 9 +3 0 2 (6) (7) (8) (9) (10) 657 605 526 458 829 +1 3 5 +3 0 8 +2 4 4 +2 2 3 + 35 2 fldä foflka jrlg tla ixLHdj ne.ska f.k tajd tl;= lrkak' tjeks .Kka 8la idokak' WodyrKh (- 147 409 is o t 509 317 38 356 38 +356 394 6

tl;= lsÍu - 1 021 3 oyhia:dkfha isg ishhia:dkhg f.k hñka tl;= lrkak' ishfha tajd oyfha tajd tfla tajd WodyrKh (- is o t 1 253 +1 7 5 428 (1) (2) (3) (4) 453 579 378 593 +2 9 5 +1 5 0 +4 3 1 +3 2 2 (5) (6) (7) (8) 560 273 440 574 +3 7 0 +3 8 6 +3 8 5 +2 7 2 4 fnda;,a mylg oud we;s mn¿ ms<sn`o f;dr;=re my; ±lafõ' r;= ks,a fld< ly oï 84 281 333 590 325 (1) r;= iy ks,a mn¿j, tl;=j lSh o@ (2) ly mn¿ fnda;,hg oï mn¿ ±uQ úg ly mn¿ fnda;,fha we;s uq¿ mn¿ .Kk lSh o@ (3) fld< iy ks,a mn¿j, tl;=j r;= iy ly mn¿j, tl;=jg jvd jeä o@ wvq o@ 7

tl;= lsÍu - 1 2 5 tl;= lrkak' (4) 603 (1) (2) (3) +3 0 9 113 458 404 +2 4 7 +2 6 0 +2 5 8 (8) 633 (5) (6) (7) +2 8 6 523 516 256 (12) +2 9 4 +3 6 6 +3 7 1 734 +1 9 0 (9) (10) (11) 746 42 598 + 25 +1 9 7 + 70 6 j.ka;s ,shd .eg¨ úi`okak' (1) tla .ilska mqjla f.ä 475 la o ;j;a .ilska mqjla f.ä 341 la o lvk ,È' lvk ,o uq¿ mqjla f.ä .Kk lSh o@ (2) 3 fY%aKsfha isiqyq 278 la o 4 fY%aKsfha isiqyq 281 la o isá;s' fY%aKs fofla u isák uq¿ isiqka .Kk lSh o@ (3) mqia;ld,hl fmd;a rdlalhl fmd;a 605 la ;snqKs' tys ;j fmd;a 185 la ;nk ,È' ±ka rdlalfha we;s uq¿ fmd;a .Kk lSh o@ (4) tla fldaÉÑ fmÜáhl u.Ska 178 la o ;j;a fldaÉÑ fmÜáhl u.Ska 118 la o isá;a kï fmÜá fofla u isák u.Ska .Kk lSh o@ (5) wU f.dvl wuq wU f.ä 480 la o bÿKq wU f.ä 168 la o we;' tys we;s uq¿ wU f.ä .Kk lSh o@ 8

È. uekSu - 1 3 fïjdfha È. ukskafka fldfydu o@ ógrhg jvd wvq È.la uekSug fikaáógrh fhdod .ksuq' fikaáógrh i`oyd jk iïu; ixfla;h cm fõ' 1 È. fldmuK ±hs is;uq' is;+ È. ksjerÈ ±hs uek n,uq' is;+ È. ienE È. ^wdikak ukskq ,nk È. ^wdikak fikaáógrhg& ''''''''''''''''''''''''''''''''''''' fikaáógrhg& ''''''''''''''''''''''''''''''''''''' ''''''''''''''''''''''''''''''''''''' .Ks;h fm<fmdf;a È. ''''''''''''''''''''''''''''''''''''''''' ''''''''''''''''''''''''''''''''''''' ''''''''''''''''''''''''''''''''''''' mekaif,a È. '''''''''''''''''''''''''''''''''''''''''' .=re fïifha m<, '''''''''''''''''''''''''''''''''''''''''' '''''''''''''''''''''''''''''''''''''''''' '''''''''''''''''''''''''''''''''''''''''' '''''''''''''''''''''''''''''''''''''''''' '''''''''''''''''''''''''''''''''''''''''' 9

È. uekSu - 1 3 2 .=re fïih u; øjH lsysmhla ;nd we;s wdldrh rEmfha ±lafõ' øjH w;r ÿr ;s;a bß Èf.a fldaÿj ;nd fikaáógrj,ska uek ,shkak' 6 cm 1m 100 cm ógrhg fikaáógr 100ls' 1 m = 100 cm 10

È. uekSu - 1 3 3 fikaáógrj,ska ,shkak' WodyrKh (- 3 m = 300 cm (1) 3 m = .............. (4) 10 m = .............. (2) 5 m = .............. (5) 15 m = .............. (3) 7 m = .............. (6) 17 m = .............. 4 ógrj,ska ,shkak' (4) 1000 cm = .............. (5) 1200 cm = .............. WodyrKh (- 500 cm = 5 m (6) 1600 cm = .............. (1) 300 cm = .............. (2) 600 cm = .............. (3) 800 cm = .............. 5 j.=fõ ysia;eka mqrjkak' ógr (m) fikaáógr (cm) 1m ................ .......... 500 cm 9m ................ .......... 1100 cm 13 m ................ .......... 1800 cm 11

È. uekSu - 1 3 6 mdif,a we;s ia:dk$øjH lsysmhla f;dard f.k tajdfha È. ógrj,ska yd fikaáógrj,ska uek j.=j mqrjkak' ukskq ,nk È. ógr yd fikaáógr ^1& .=re fïifha È. fikaáógr 122 cm 1 m 22 cm ^2& mdi,a f.dvke.s,af,a m<, ^3& .=re fïifha Wi ^4& ^5& ^6& 7 fikaáógrj,ska ,shkak' (4) 8 m 7 cm = .............. (5) 9 m 50 cm = .............. WodyrKh (- 3 m 20 cm = 320 cm (6) 12 m 5 cm = .............. (1) 1 m 60 cm = .............. (2) 4 m 75 cm = .............. (3) 5 m 50 cm = .............. 8 ógr yd fikaáógrj,ska ,shkak' WodyrKh (- 370 cm = 3 m 70 cm (1) 450 cm = .................... (4) 625 cm = .................... (2) 308 cm = .................... (5) 1070 cm = .................... (3) 270 cm = .................... (6) 775 cm = .................... 12

wvq lsÍu - 1 041 1 wvq lrkak' (1) (2) (3) (4) (5) 24 39 28 45 76 −1 2 −1 5 −2 0 −2 5 −5 0 (6) (7) (8) (9) (10) 80 58 94 97 89 −3 0 −2 8 −4 2 −7 2 −3 2 fldgqfõ we;s ´kE u ixLHdjlska rjqfï we;s ´kE u ixLHdjla wvq lr ms<s;=r ,nd .kak' ^tjeks .Kka 5la idokak'& WodyrKh (- 99 57 30 5 ot 68 76 23 12 68 −2 3 51 45 3 yryg yd my<g wvq lr ms<s;=r ,nd .kak' WodyrKh (- 94 − 20 = 7 4 ^1& 79 − 27 = −5 2 −3 0 22 13

wvq lsÍu - 1 4 ^2& 48 − 24 = − 1 1 ^3& 84 − = 43 −2 1 ^4& 93 − = 33 ^5& 89 − 42 = −2 1 −2 0 4 j.ka;s ,shd .eg¨ úi`okak' (1) mka;shl isá isiqka 45 fokdf.ka 12 fofkla l%Svd msáhg .shy' mka;sfha ±ka isák isiqka .Kk lSh o@ (2) w;a;l msms u,a .Kk 34 ls' thska u,a 24 la lvd .kq ,eìKs kï w;af;a b;=re u,a .Kk lSh o@ (3) bvul isgqúh yels fmd,a me< ixLHdj 98ls' ±kg me< 53 la isgqjd we;' ;j me< lShla isgqúh yels o@ (4) fnda;,hl fgd*s 89 la ;snqKs' <uhskag fnod ÿka miq tys 37 la b;=re úh' fnod ÿka fgd*s .Kk lSh o@ (5) tl u,a,l mqjla f.ä 96 ls' ;j;a u,a,l mqjla f.ä 72 ls' u¨ foflys we;s mqjla f.ä .Kk w;r fjki lSh o@ (6) Yd,djl ;nd we;s mqgq .Kk 45 ls' tys ;eìh yels uq¿ mqgq .Kk 96 ls' ;j mqgq lShla ;eìh yels o@ 14

ixLHd rgd 051 1 rgdj y`ÿkd f.k ysia;ekaj,g .e<fmk ixLHd ,shkak' (1) 20, 22, 24, ........., ........., ......... (2) 1, 6, 11, 16, ........., ........., ........., ......... (3) 33, 43, 53, 63, ........., ........., ........., ......... (4) ........., ........., ........., 79, 81, 83, ......... (5) ........., ........., ........., ........., ........., 45, 50, 55 (6) ........., ........., ........., ........., 46, 56, 66, ......... 2 rgdj wkqj ysia;ekaj,g .e<fmk ixLHd ,shkak' (1) 2, 5, 8, ........., ........., ......... (2) 83, 86, 89, ........., ........., ......... (3) ........., ........., ........., 25, 28, 31 (4) ........., ........., 51, 54, 57, ......... (5) ........., ........., 94, 97, 100, ........., ......... 3 rgdj y`ÿkd f.k ysia;eka iïmQ¾K lrkak' (1) 2, 6, 10, ........., ........., ......... (2) 43, 47, 51, ........., ........., ......... (3) ........., ........., 27, 31, 35, ......... (4) ........., 67, 71, 75, ........., ......... (5) ........., ........., ........., 99, 103, 107 15

.=K lsÍu - 1 6 foflka .=K lruq' WodyrKh (- ms<s;=r ,efnkafka fufyuhs' 14 o t «2 1 4 28 « 2 8 m<uqj 4, 2ka .=K lr we;' 2 0 fojkqj 10, 2ka .=K lr we;' 2 8 B<`.g 8 yd 20 tl;= lr we;' 1 foflka .=K lrkak' (1) (2) (3) (4) (5) 24 «2 32 20 43 51 «2 «2 «2 «2 WodyrKh (- ms<s;=r ,efnkafka fufyuhs' 38 o t «2 3 8 76 « 1 62 1 6 0 m<uqj 8, 2ka .=K lr we;' 7 6 fojkqj 30, 2ka .=K lr we;' B<`.g 16 yd 60 tl;= lr we;' 2 foflka .=K lrkak' (1) (2) (3) (4) (5) 29 35 37 46 48 «2 «2 «2 «2 «2 16

.=K lsÍu - 1 061 (6) (7) (8) (9) (10) 75 88 97 99 68 «2 «2 «2 «2 «2 3 .eg¨ úi`okak' (1) ;E.s md¾i,hlg fmd;a folla ne.ska oukq ,efí' tjeks ;E.s md¾i,a 42 la i`oyd wjYH fmd;a ixLHdj lSh o@ (2) tl lKqjl ne¨ka fol ne.ska lKq 18 l ne¨ka lShla t,a,sh yels o@ (3) <uhska 49 la i`oyd mekai,a fol ne.ska §ug wjYH mekai,a .Kk lSh o@ (4) l%Svd W;aijhl § tla lKqjlg fldä fol ne.ska .eg .eish hq;=j we;' lKq 30 la i`oyd wjYH fldä .Kk lSh o@ 4 .=Ks;hg .e<fmk ms<s;=r hd lrkak' (1) 5 « 5 40 (6) 2 « 5 45 (2) 1 « 5 15 (7) 7 « 5 35 (3) 8 « 5 25 (8) 4 « 5 50 (4) 3 « 5 30 (9) 9 « 5 10 (5) 6 « 5 5 (10) 10 « 5 20 17

.=K lsÍu - 1 6 mfyka .=K lruq' WodyrKh (- ms<s;=r ,efnkafka fufyuhs' ot 36 36 m<uqj 6, 5ka .=K lr we;' «5 « 5 fojkqj 30, 5ka .=K lr we;' 180 30 B<`.g 30 yd 150 tl;= lr we;' 11 58 00 3 5 mfyka .=K lrkak' (1) (2) (3) (4) (5) 28 67 43 16 24 «5 «5 «5 «5 «5 (6) (7) (8) (9) (10) 22 70 35 20 89 «5 «5 «5 «5 «5 6 .eg¨ úi`okak' (1) mka;shl <uhska 25 ne.ska jQ mka;s myla we;' mka;s mfya isák uq¿ <uhska ixLHdj lSh o@ (2) fmÜáhl mekai,a 36la we;' tjeks fmÜá myl we;s mekai,a .Kk lSh o@ (3) tla fmÜáhl ìialÜ melÜ my ne.ska fmÜá 29l we;s ìialÜ melÜ .Kk lSh o@ (4) mn¿ ud,hla iE§ug mn¿ 50la wjYH fõ' tjeks ud, myla iE§ug wjYH uq¿ mn¿ .Kk lSh o@ 18

.=K lsÍu - 1 061 oyfhka .=K lruq' WodyrKh (- ms<s;=r ,efnkafka fufyuhs' 23 ot «1 0 230 23 « 1 0 3 30 m<uqj 3, 10ka .=K lr we;' fojkqj 20, 10ka .=K lr we;' 2 0 0 B<`.g 30 yd 200 tl;= lr we;' 2 3 0 7 .=K lrkak' (3) (4) (5) (6) 40 39 20 24 «1 0 «1 0 «1 0 «1 0 (1) (2) 64 87 «1 0 «1 0 8 .eg¨ úi`okak' (1) mdi,a nia r:hl <uhska 48lg .uka l< yels h' tjeks nia r: foll .uka l< yels uq¿ <uhska m%udKh fldmuK o@ (2) fmÜáhlg fmd;a 12la ±ñh yels h' tjeks fmÜá mylg ±ñh yels fmd;a .Kk lSh o@ (3) tla melÜgqjl fgd*s 15la we;' tjeks melÜ oyhl we;s fgd*s .Kk lSh o@ (4) frda.sfhl= i`oyd Èklg fnfy;a .=,s myla fokq ,efí' Èk 60la .; jk úg frda.shdg fok ,o fnfy;a .=,s .Kk lSh o@ (5) tla fmÜáhl nksia oyhls' tjeks fmÜá 75la mdi,g ,enqKs kï ,enqKq nksia m%udKh fldmuK o@ 19

Nd. 7 1 § we;s rEmj, nd.hla ^ 1 & mdg lrkak' 2 (1) (2) (3) (4) (5) 2 nd.hla mdg lr we;s rEm háka bß w`Èkak' (1) (2) (3) (4) (5) (6) (7) (8) 3 § we;s yevj, nd.hla ^ 1 & mdg lrkak' 2 (1) (2) (3) (4) 20

Nd. 071 4 § we;s rEmj, ld,la ^ 1 & mdg lrkak' 4 (1) (2) (3) (4) (5) (6) (7) 5 ld,la mdg lr we;s rEmhg háka brla w`Èkak' (1) (2) (3) (4) (5) (6) (7) 6 rEmfha mdg l< fldgfika ±lafjk Nd.h ,shkak' (1) (2) (3) (4) (5) (6) (7) (8) 21

Nd. 7 7 øjH iuQyhlska nd.h y`ÿkd .ksuq' my; rEmfha wU f.ä 10 la we;' wU f.dfvka nd.hla ^ 1 & bÿKq wU fõ' bÿKq wU f.ä .Kk 5 ls' 2 (1) fnda, 8 ka 1 l fnda, lSh o@ 2 (2) u,a 18 ka 1 l u,a lSh o@ 2 8 øjH iuQyhlska ld, y`ÿkd .ksuq' fnd;a;ï 12 ka ld,la ^ 1 & r;= mdg fnd;a;ï fõ' r;= mdg fnd;a;ï .Kk 3ls' 4 22

Nd. 071 (1) fnda, 8 ka 1 l fnda, lSh o@ 4 (2) weK 16 ka 1 l weK lSh o@ 4 (3) r;= mdg mn¿ .Kk uq¿ mn¿ .Kkska fldmuK Nd.hla o@ (4) fld< mdg mn¿ .Kk uq¿ mn¿ .Kkska fldmuK Nd.hla o@ 23

>k jia;= yd yev;, 8 ;s;a fol\" fldaÿj ;nd hd lruq o@ tfyu wekafod;a th ir, f¾Ldjla 1 ;s;a hd lrñka ir, f¾Ld w`Èkak' B (1) A yd B A C (2) B yd C (3) C yd D (4) D yd A (5) A yd C (6) B yd D D 24

>k jia;= yd yev;, 081 2 fldgq .Kka lr yev w`Èkak' (1) fldgq 4la È. fldgq 4la m<, fldgq .Kka lr,d yev w`Èuq' iup;=ri%hla w`Èkak' (2) fldgq 8 la È. fldgq 5la m<, RcqfldaKdi%hla w`Èkak' >k jia;=j, bÈß fmkqu\" me;s fmkqu iy ie,eiau y`ÿkd .ksuq' by<ska ^ie,eiau& by<ska ^ie,eiau& me;s fmkqu me;s fmkqu bÈß fmkqu bÈß fmkqu bÈß fmkqu me;s fmkqu bÈß fmkqu me;s fmkqu ie,eiau ie,eiau 3 my; >k jia;=j, bÈß fmkqu\" me;s fmkqu iy ie,eiau B;,j,g wod< ysia;ekaj, ksjerÈj ,shkak' (1) 25

>k jia;= yd yev;, 8 (2) 4 rEm n,d bÈß fmkqu\" me;s fmkqu yd ie,eiau ±laùug wod< bx.%Sis wl=re j.=fõ ,shkak' A B Q Z C PR XY (1) (2) (3) rEmh ie,eiau me;s fmkqu bÈß fmkqu A (1) (2) (3) 26

ixLHd - 2 091 999g 1 la jeä ixLHdj 999 + 1 = 1000 - oyi ^ody& 1000 - oyi 2000 - fooyi 3000 - ;=kaoyi 4000 - ydroyi 1 ixLHd kduh ,shkak' (1) 5000 = ............................ (4) 8000 = ............................ (2) 6000 = ............................ (5) 9000 = ............................ ( 3) 7000 = ............................ 2 ysia;eka iïmQ¾K lrkak' ixLHdj ixLHd kduh 3248 ............................................................. 4120 ............................................................. ................ y;aoyia ;=kaish ;sia tl 6050 ............................................................. ................ wgoyia ydrish ye;a;E y; 9990 ............................................................. 3 háka brla we`È ixLHdfõ ixLHd kduh ,shkak' (1) mD;=.SiSka ,xldjg meñKsfha l%s'j' 1505 § h' (2) msÿre;,d., lkafoa Wi óg¾ 2524 ls' (3) mdi,a isiqkag fnod §u i`oyd wNHdi fmd;a 2810 la f.fkk ,È' (4) kdgHhla keröu i`oyd Èk folla ;=< úlsKS we;s álÜ m;a ixLHdj 3100 ls' (5) .fvd,a lïy,l i;shla ;=< ksmojk ,o .fvd,a m%udKh 6842 ls' 27

ixLHd - 2 9 4 .Kl rduqfjka ksrEmKh jk ixLHdfõ ixLHdxlh yd ixLHd kduh ,shkak' (1) (2) (3) od is o t od is o t od is o t (4) (5) (6) od is o t od is o t od is o t 5 ysia;eka mqrjkak' ixLHdj b,lalu b,lalu msysá ia:dkh b,lalu olajk w.h 1273 2 ishhia:dkh 200 2640 2 ................................. .................... 5462 .................... oyhia:dkh .................... 7023 3 ................................. .................... 9991 .................... tlia:dkh .................... 5016 0 ................................. .................... 9999 .................... oyiia:dkh .................... 28

ixLHd - 2 091 6 rjqu ;=< we;s b,lalï ish,a, Ndú;fhka b,lalï y;f¾ ixLHd myla j.=j ;=< ,shd j.=j iïmQ¾K lrkak' 5 7 02 ixLHdj ia:dkh wkqj b,lalu b,lalfuka 5207 ishhia:dkfha b,lalu 2 ±lafjk w.h 200 .................... tlia:dkfha b,lalu ........ .................... .................... oyhia:dkfha b,lalu ........ .................... .................... oyiia:dkfha b,lalu ........ .................... .................... oyhia:dkfha b,lalu ........ .................... 7 úysÿjd ,shkak' WodyrKh (- 1675 = 1000 + 600 + 70 + 5 (1) 3426 = ...................................................................... (2) 5059 = ...................................................................... (3) 7824 = ...................................................................... (4) 8203 = ...................................................................... (5) 9470 = ...................................................................... (6) 9090 = ...................................................................... 29

m%ia;dr - 1 10 1 mqj;am;a wf,ú i,l Èkl § úl=Kk ,o mqj;am;a ms<sn`o f;dr;=re my; j.=fõ ±lafõ' mqj;am; úl=Kk ,o mqj;am;a .Kk ñysß 10 iqr; 8 Èh; 7 Èuq;= 2 kqjK 8 • by; f;dr;=re ;Sr m%ia;drhlska ksrEmKh lruq'úl=KQ mqj;am;a .Kk 12 úl=KQ mqj;am;a 11 10 9 8 7 6 5 4 3 2 1 0 ñysß iqr; Èh; Èuq;= kqjK mqj;am; • ;Sr m%ia;drh weiqfrka my; m%Yakj,g ms<s;=re ,shkak' (1) jeä u m%udKhla úl=Kk ,o mqj;am; l=ula o@ (2) wvq u m%udKhla úl=Kk ,o mqj;am; l=ula o@ (3) iudk m%udKj,ska úl=Kd we;s mqj;am;a fudkjd o@ (4) Èuq;= mqj;am;g jvd iqr; mqj;am;a lShla jeäfhka úlsKS ;sfí o@ (5) ñysß mqj;am;g jvd iqr; mqj;am;a lShla wvqfjka úlsKS ;sfí o@ 30

m%ia;dr - 1 1001 2 mka;shl ckjdß\" fmnrjdß\" ud¾;= iy wfm%a,a udij, bmÿKq <uhska ms<sn`o f;dr;=re my; rEmfhka ±lafõ' th weiqfrka my; j.=j mqrjkak' uu wfma%,a uu ud¾;= uu ud¾;= uu ckjdß uu fmnrjdß uu ckjdß uu ckjdß uu ud¾;= uu ud¾;= uu wfma%,a uu fmnrjdß uu fmnrjdß uu ud¾;= uu ud¾;= uu ckjdß uu wfma%,a uu wfma%,a uu fmnrjdß uu ud¾;= uu fmnrjdß uu wfma%,a uu ud¾;= bmÿKq jd¾;d <uhska uu wfma%,a udih l< whqre .Kk uu ckjdß ckjdß 5 uu ud¾;= fmnrjdß ud¾;= wfma%,a 31

m%ia;dr - 1 10 • j.=j weiqfrka my; ±lafjk ;Sr m%ia;drh iïmQ¾K lrkak' tla tla udij, bmÿKq <uhs <uhska .Kk10 ckjdß fmnrjdß9 8 ud¾;=7 wfm%a,a6 5 4 3 2 1 0 udih • ;Sr m%ia;drh weiqfrka my; m%Yakj,g ms<s;=re ,shkak' (1) jeä u <uhska .Kkla bm§ we;s udih l=ula o@ (2) wfma%,a udifha bm§ we;s <uhska .Kk lSh o@ (3) iudk <uhska .Kkla bm§ we;s udi fudkjd o@ (4) wfm%a,a udihg jvd ud¾;= udifha bm§ we;s <uhska .Kk lSh o@ 32

fn§u - 1 1011 foflka fnouq' WodyrKh (- 26\" foflka fnouq' tkï 26 ÷ 2 u;lhs fka o@ Tõ\" fyd`og u;lhs' 2 26 13 2 22 6 0 66 0 26 ÷ 2 =13 hs 1 2ka fnokak' (1) 2 12 (2) 2 28 (3) 2 60 (4) 2 80 WodyrKh (- 29\" foflka fnouq' tkï 29 ÷ 2 2 29 1 4 2 22 9 0 89 1 29 ÷ 2 =14 b;=re 1hs 2 2 ka fnokak' (1) 2 25 (2) 2 43 (3) 2 89 (4) 2 67 33

fn§u - 1 11 WodyrKh (- 38\" foflka fnouq' tkï 38 ÷ 2 2 38 19 2 23 8 11 88 0 38 ÷ 2 =19 hs 3 2 ka fnokak' (3) 46 ÷ 2 (5) 86 ÷ 2 (4) 50 ÷ 2 (6) 95 ÷ 2 (1) 2 17 (2) 2 30 Wody rKh (- 249\" foflka fnouq' tkï 249 ÷ 2 ixLHdj f,dl= jqKdg fnokak yß myiqhs' Thd lshk foa yßhg u yß 124 2 22 4 9 0 44 0 89 1 249 ÷ 2 = 124 b;=re 1 hs 4 §¾> fn§fï l%uhg ms<s;=r ,nd .kak' (1) 328 ÷ 2 (3) 649 ÷ 2 (2) 540 ÷ 2 (4) 725 ÷ 2 34

fn§u - 1 1011 W o dy rKh (- 706\" foflka fnouq' tkï 706 ÷ 2 353 2 67 0 6 11 00 0 66 0 706 ÷ 2 = 353 hs 5 §¾> fn§fï l%uhg ms<s;=r ,nd .kak' (1) 102 ÷ 2 (2) 304 ÷ 2 (3) 508 ÷ 2 WodyrKh (- 804\" foflka fnouq' tkï 804 ÷ 2 402 2 88 0 4 0 00 0 4 4 0 804 ÷ 2 = 402 hs 6 §¾> fn§fï l%uhg ms<s;=re imhkak' (1) 204 ÷ 2 (2) 602 ÷ 2 (3) 408 ÷ 2 7 .eg¨ úi`okak' (1) iykdOdr ,nd §u i`oyd iSks melÜ 300 la ,enqKs' tla iykdOdr u,a,lg iSks melÜ 2 ne.ska u¨ lShlg ±ñh yels o@ (2) fmd,a f.ä 608 la iudkj f.dvj,a follg fjka lf<a kï tla f.dvl we;s fmd,a f.ä .Kk lSh o@ (3) mdi,l iEu isiqfjl=g u fol ne.ska ,nd §ug l;kaor fmd;a 970 la mß;Hd. lrkq ,eìKs kï mdif,a isák isiqka ixLHdj lSh o@ 35

mqkÍlaIKh - m<uqjk jdrh 12 1 (1) rjqu ;=< we;s b,lalï ish,a, u Ndú; lr b,lalï ;=fka ixLHd 3 la ,shkak' 97 6 (2) Tn ,shQ ixLHd l=vd u ixLHdfõ isg úYd, u ixLHdj f;la wkqms<sfj<ska ,shkak' (3) tajdfha ixLHd kdu ,shkak' (4) b,lalï ;=k Ndú; lr 700;a 800;a w;r ixLHdjla ,shkak' 2 .Kl rduqfõ ksrEms; ixLHdj ,shd\" th úysÿjd ,shkak' WodyrKh (- (1) is o t is o t ...1..4..2.... ..1...0..0.... + ..4..0.... + ...2... ........... ........... + ........ + ...... (2) (3) is o t is o t ........... ........... + ........ + ...... ........... ........... + ........ + ...... 36

mqkÍlaIKh - m<uqjk jdrh 1021 (4) (5) is o t is o t ........... ........... + ........ + ...... ........... ........... + ........ + ...... 3 ysia;eka mqrjkak' ixLHdj b,lalu b,lalfuka ksrEms; w.h 154 4 843 4 467 4 908 9 692 9 519 9 4 mdi,l isiqkaf.ka ;uka jvd;a u leu;s l%Svdj ms<sn`o úuik ,ÿj my; f;dr;=re ,enqKs' leu;s l%Svdj isiqka ixLHdj fpia 275 l%slÜ 725 t,af,a 572 (1) jeä u isiqka ixLHdjla leu;s l%Svdj l=ula o@ tu isiqka ixLHdj lSh o@ (2) wvq u isiqka ixLHdjla leu;s l%Svdj l=ula o@ tu isiqka ixLHdj lSh o@ (3) isiqka ixLHd\" wvq u ixLHdfõ isg jeä u ixLHdj f;la mámdáhg ,shkak' 37

mqkÍlaIKh - m<uqjk jdrh 12 5 tl;= lrkak' (1) (2) (3) (4) (5) 112 516 523 404 603 +2 4 7 +3 6 6 +2 9 4 +2 5 8 +3 0 9 6 .eg¨ úi`okak' (1) fld<U isg uykqjr yryd nÿ,a, n,d hk úfYAI YS>%.dó ÿïßhl uykqjrg hk u.Syq 216 la o nÿ,a,g hk u.Syq 415 la o isá;s' ÿïßfha .uka lrk uq¿ u.Ska .Kk lSh o@ (2) ud <`. uqoaor 450 la ;snqKs' ;d;a;d ug ;j uqoaor 365 la ÿkafka h' ±ka ud <`. we;s uq¿ uqoaor .Kk fldmuK o@ 7 fikaáógrj,ska ,shkak' (1) 1 m (2) 4 m (3) 6 m (4) 8 m 60 cm (5) 9 m 50 cm 8 ógr yd fikaáógrj,ska ,shkak' (1) 200 cm (2) 334 cm (3) 550 cm (4) 795 cm (5) 902 cm 9 wvq lrkak' (1) (2) (3) (4) (5) 98 76 99 87 54 −5 5 −3 4 −7 9 −5 4 −2 0 38

mqkÍlaIKh - m<uqjk jdrh 1021 10 .eg¨ úi`okak' (1) ud <`. fjr¿ f.ä 78 la ;snqKs' bka fjr¿ f.ä 35 la hy¿jdg ÿkafka kï ud <`. b;=re jk fjr¿ f.ä .Kk lSh o@ (2) ksmqks <`. fnd;a;ï 68 la we;' .hks <`. fnd;a;ï 45 la we;' .hksg jvd ksmqks <`. we;s fnd;a;ï .Kk lSh o@ (3) mdg fmÜáhl ñ, remsh,a 95 ls' ud <`. remsh,a 54 la we;' mdg fmÜáhla ñ, § .ekSu i`oyd ;j fldmuK uqo,la ug wjYH o@ 11 rgdj y`ÿkdf.k ysia;ekg .e<fmk ixLHd ,shkak' (1) 19 21 23 ....... ....... ....... ....... ....... ....... ....... (2) 64 74 84 ....... ....... ....... ....... ....... ....... ....... (3) ....... ....... ....... 11 14 17 ....... ....... ....... ....... (4) ....... ....... ....... 48 53 58 ....... ....... ....... ....... (5) ....... ....... ....... ....... ....... ....... ....... 34 38 42 12 .=K lrkak' (1) (2) (3) (4) (5) (6) 64 87 41 39 20 75 «2 «2 «5 «5 «1 0 «1 0 39

mqkÍlaIKh - m<uqjk jdrh 12 13 .eg¨ úi`okak' (1) jÜáhl u,a 35la we;' tjeks u,a jÜá foll we;s uq¿ u,a m%udKh fldmuK o@ (2) ;E.s md¾i,hl fmd;a 5 ne.ska wiqrd we;' tjeks md¾i,a 24 l we;s fmd;a .Kk lSh o@ (3) fgd*s 48 ne.ska weiqrE fnda;,a 10 l we;s fgd*s m%udKh fldmuK o@ (4) tla wfhl=g mdka nd.h ne.ska mdka f.ä 26la lS fofkl=g m%udKj;a fõ o@ 14 my; tla tla rEmfha 1 la mdg lrkak' 2 (1) (2) (3) (4) (5) 40