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.Ks;h myiqfjka - 5
ixLHdkh
.Ks; fomd¾;fïka;=júµd yd ;dlaIK mSGh
cd;sl wOHdmk wdh;khY%S ,xldj
.Ks;h myiqfjka - 5
ixLHdkh
.Ks; fomd¾;fïka;=júµd yd ;dlaIK mSGh
cd;sl wOHdmk wdh;khY%S ,xldj
i
10-11 fY%aKs i|yd
.Ks;h myiqfjka
ixLHdkh
© cd;sl wOHdmk wdh;kh
m<uqjk uqo%Kh 2014
.Ks; fomd¾;fïka;=j
cd;sl wOHdmk wdh;kh
uyr.u
Y%S ,xldj
uqøKh ( uqøKd,h
cd;sl wOHdmk wdh;kh
uyr.u
ii
fmrjok
mdi,aj, l%shd;aul jk úIhud,dj ;=< .Ks; úIhg iqúfYaIs ia:dkhla ysñ fõ' tfia jkafka
.Ks;h úIh wksjd¾h úIhhla ùu fuka u wmf.a Ôú;fha fndfyda wjia:dj, § w;HjYH
ixl,amj,ska iu;aú; jQ úIhhla ksid h'
.Ks;h iïnkaO j isiqkaf.a idOk uÜgï ms<sn| t;rï i;=gqodhl ;;a;ajhla fkdue;s nj
miq.sh j¾I .Kkdjl u w'fmd'i' id'fm<& úNd.fha m%;sM, úYaf,aIKj,ska ukdj meyeÈ,s
fõ' ishhg mkylg wdikak isiq m%;sY;hla wiu;a ù we;s nj Wla; úYaf,aIK fmkajd fohs'
miq.sh fojir ;=< hï uÜgulska isiq idOk uÜgï by< .sh o th o t;rï m%udKj;a
fkdfõ'
fuu úIhfhys isiq idOk uÜgï wju ùu i|yd úúO idOl n,md we;' fuys§ úIh
flfrys we;s wkHjYH ìh" m%udKj;a .Ks; .=re msßila fkdue;slu" iuyr .=rejrekaf.a
úIh oekqu m%udKj;a fkdùu iy WÑ; bf.kqï b.ekaùï l%uj, we;s wvqmdvq hk idOl
m%Odk fldg oelaúh yels h'
by; i|yka ndOl ;;a;aj wju lr isiqkaf.a .Ks; ixl,am ms<sn| j we;s oekqu iyyelshd jeä ÈhqKq lr .Ks; wOHdmkfha .=Kd;aul ixj¾Okhla Wfoid hk wruqK
fmroeß j —.Ks;h myiqfjka˜ fmd;a fm< rpkd lr we;'
1' .Ks;h myiqfjka - 1 ixLHd
2' .Ks;h myiqfjka - 2 ñkqï
3' .Ks;h myiqfjka - 3 ùc .Ks;h
4' .Ks;h myiqfjka - 4 cHdñ;sh
5' .Ks;h myiqfjka - 5 ixLHdkh
6' .Ks;h myiqfjka - 6 l=,l yd iïNdú;dj
2010 j¾Ifha § Y%S ,xld úNd. fomd¾;fïka;=j úiska m%ldYhg m;a lrk ,o w'fmd'i'
^id'fm<& .Ks; úIhfha m%;sM, úYaf,aIKhg wkqj" ld¾h idOk o¾Ylh wju l,dmj,ska
uqM Èjhsk u wdjrKh jk f,i mdi,a f;dard f.k tu mdi,aj, .=rejreka i|yd fkajdisl
mqyqKqjla ,nd § Tjqka mdi,aj,g f.dia kej; b.ekaùu lrk wdldrh iy isiqkaf.a mjq,a
mßir ms<sn| j Rcq w;aoelSï ,ndf.k tu w;aoelSï o by; fmd;a rpkd lsÍfï § m%fhdackhg
.kakd ,§'
wvq idOk uÜgula fmkajk isiqka úiska fuu fmd;a Ndú; lsÍfuka Tjqkaf.a m%dma;s uÜgu
by<g kxjd .; yelsfõ' ir, nfõ isg ixlS¾K nj olajd l%shdldrlï iy wNHdi ilia
lr we;s neúka isiqkaf.a wjOdkh iy fm<öu we;s jk wdldrhg o fmd;a ilia lr ;sîu
úfYaI;ajhls'
fuu fmd;a Ndú; lsÍfuka Tn ,nk m%dfhda.sl w;aoelSï wdY%fhka" ixj¾Okd;au; fhdackd
wm fj; okajd tjkak' tu.ska bÈßfha § fujeks ld¾hhka ;j ;j;a by< m%;sM, f.k fok
mßÈ ie,iqï lsÍfï yelshdj ,efí'
fla' rxð;a m;auisßwOHlaI.Ks; fomd¾;fïka;=jcd;sl wOHdmk wdh;kh
iii
wOHlaI ckrd,a;=udf.a mKsúvh
wm rfÜ .Ks; wOHdmkh ;ju;a wfmalaIs; b,lal lrd <`.dùug fkdyels ù we;s nj
wOHhk fmdoq iy;sl m;% ^idudkH fm<& yd ^Wiia fm<& úNd. m%;sM, úYaf,aIK
u`.ska ms<sìUq fõ' fuu ;;a;ajh rfÜ wkd.; ixj¾Okh flfrys wys;lr f,i
n,mdk idOlhls' fuu h:d¾:h y÷kdf.k Bg úiÿï fiùfï tla ls%hdud¾.hla f,i
cd;sl wOHdmk wdh;kfha .Ks; fomd¾;fïka;=j úiska ".Ks;h myiqfjka " kñka
rÑ; fuu fmd;a fm< yÿkajd Èh yels h'
lksIaG oaú;Shsl wjêfha § isiqkaf.a .Ks; l=i,;d by< kexùu i|yd úêu;a ls%hdj,shla
w;HjYH jqj o" wvq ld¾h idOk uÜgï m%o¾Ykh lrk mdi,aj, isiqka b,lal
lrf.k ,shjqKq uq,dY% fnfyúka úr, fõ'
wvqu ld¾h idOk o¾Yl iys; mdi,aj, .=rejreka mqyqKq lr" Tjqka fiajh lrk
mdi,aj, mka;sldur ms<sn| j cd;sl wOHdmk wdh;kfha .Ks; fomd¾;fïka;=fõ
ks,OdÍka úiska lrk ,o ksÍlaIKj, w;aoelSï o mokï lr f.k tu mdi,aj,
orejka fjkqfjka ilid we;s fuu fmd;a fm< mdi,aj, 6-11 fY%aKs m%;sldÍ jevigyka
i|yd fnfyúka bjy,a fjkq we;' fuu fmd;a fm< ir, uÜgfuka" isiqkag ms%hckl
wdldrhg bÈßm;a lr ;sîu úfYaI ,laIKhls' ls%hdldrlï" ;r." ir, wNHdi jeks
oE iys; .Ks;h myiqfjka fmd;a fm< isiqkaf.a bf.kqï ls%hdj,sh yd .=rejrekaf.a
b.ekaùï ls%hdj,sh ixj¾Okh lsÍug iu;a jk nj ksiel h'
fuu fmd;a fm< mrsYS,kfhka .Ks; úIhfha bf.kqï - b.ekaùï - we.hSï ls%hdj,sh
id¾:l lr .kakd fuka .=rejrekaf.ka o" isiqkaf.ka o b,a,d isáñ'
".Ks;h myiqfjka " fmd;a fm< Tn w;g m;a lsÍu ioyd wkq.%yh oelajq GIZ jHdmD;shg
yd ADB jHdmD;shg;a fuu ld¾hh id¾:l lr .ekSug Ydia;S%h odhl;ajh iemhQ
.Ks; fomd¾;fïka;=fõ ld¾h uKav,hg yd ndysr úoaj;=ka ish¨ fokdg uf.a m%Kduh
ysñ fõ'
uydpd¾h ví,sõ' tï' wfír;ak nKavdr
wOHlaI ckrd,a
cd;sl wOHdmk wdh;kh
iv
mQ¾úldj
wOHhk fmdÿ iy;sl m;% ^idudkH fm<& úNd.fha .Ks; úIhfha m%;sM, mokïlrf.k Y%S ,xld úNd. fomd¾;fïka;=j úiska ilia lr we;s mdi,a ld¾h idOko¾Yl wkqj Èjhsfka m<d;a kjfhys u wvq u ld¾h idOk o¾Yl iys; mdi,a f;dardf.k tu mdi,aj, YsIH idOk uÜgï ms<sn`o j cd;sl wOHdmk wdh;kfha .Ks;fomd¾;fïka;=j úiska fidhd n,k ,§' fï i`oyd .Ks;fha f;aud yh wkqj ilia lrk,o m%Yak m;% yhla YsIH ksheÈhlg ,nd fok ,§' tajd mÍlaId lr ,nd.;a f;dr;=reúYaf,aIKfhka isiqkaf.a ÿ¾j,;d yd idOk uÜgï o" nyq, j isÿ lrk jerÈ ydÿ¾j,;d fmkakqï flfrk úIh lafIa;% o y`ÿkd .ekqKs' tu mdi,aj, .=rejreka fuulreKq ms<sn`o j ±kqj;a lr tu mdi,aj, ;;a;ajh ÈhqKq lr,Su .Ks; fomd¾;fïka;=fõwfmalaIdj úh'
fuu jevigyk ms<sn`o j Èjhsfka mdi,aj, .=rejreka 152 fofkl= mqyqKq lrk ,ow;r" mqyqKqfõ § .=rejreka w;am;a lr.;a foa isiqkag ,nd §u myiq lsÍu i`oyd
zz.Ks;h myiqfjkaZZ isiq jev fmd;a fm< ks¾udKh lrk ,§' .=re uy;au uy;aókaf.a
mdif,a ld¾hNdrh jvd;a myiq lr m%;sldÍ jev myiqfjka l%shd;aul lsÍu wruqKqlrf.k fuu fmd;a ie,iqï lrk ,§'
zz.Ks;h myiqfjkaZZ isiq jev fmd;a fm< .Ks;fha f;aud yh wkqj uqøKh lr we;'
1' .Ks;h myiqfjka - 1 ixLHd
2' .Ks;h myiqfjka - 2 ñkqï
3' .Ks;h myiqfjka - 3 ùc .Ks;h
4' .Ks;h myiqfjka - 4 cHdñ;sh
5' .Ks;h myiqfjka - 5 ixLHdkh
6' .Ks;h myiqfjka - 6 l=,l yd iïNdú;dj
zz.Ks;h myiqfjkaZZ isiq jev fmd;a fm< mka;s ldurfha Ndú; l< yels wu;r uQ,dY%
fõ' fïjd fm< fmd;g wu;r j fhdod .; yels jákd .%ka: fõ' fuu fmd;a fm<m%Odk jYfhka" u|la fifuka .Ks;h bf.k .kakd isiqka b,lal lr f.k ilia jQtajd fõ' y`ÿkd.;a ÿ¾j,;d yd úIh lreKq ish,a, u fïjdfha ix.Dys; fyhska isiqkagúIh lreKq .%yKh lr .ekSu myiq fõ' fuu .%ka:j, wka;¾.;h my; oelafjkwdldrhg f.dkqlr we;'
1' fmr mÍlaIK2' úfkdaockl l%shdldrlï3' hq., l%shdldrlï4' ir, m%Yak ^f;aÍï" wE`ÿï" nyqjrK" ysia;eka msrùï&5' flá m%Yak6' jHQy.; m%Yak7' m%fya,sld jeks fjk;a WmlrK
.Ks;h wudre hehs is;d isák isiqkaf.a udkisl ;;a;ajh fjkia lr jvd;a m%shcklúIhhla f,i .Ks;h y`ÿkajd §ug wjYH l%shdldrlï iuQyhla fuu fmd;aj,wka;¾.; lr we;' fndfyda m%Yak ir, f,i bÈßm;a lr we;af;a iEu YsIHfhl=g uúi`§u myiq jk wldrhg h'
v
fuu fmdf;a wka;¾.; jkafka ixLHdkh f;audjg wod< úIh lreKq fõ' fuu f;audj hgf;a
6 fY%aKsfha isg 11 fY%aKsh wjidkh olajd u bf.k .kakd uQ,sl úIh lreKq ish,a,la u
wka;¾.; jk fia fmd; iïmdokh lr we;' ixLHdkh fldgi ud;Dld 6 lska yd l%shdldrlï
04 lska o wNHdi 06 lska o iukaú;h' tla tla ud;Dldj hgf;a jQ fmr mÍlaIKh" isiqkaf.a
uÜgu wkdjrKh lr .ekSu i`oyd ilia lr we;s w;r tla tla ud;Dldj wjidkfha isiqka
<`.d ù we;s uÜgu wkdjrKh lr .ekSug fuu fmr mÍlaIKhu fhdod .ekSfuka Tng
yelshdj ,efí' fuu fmd; mßYS,kfhka isiqkaf.a olaI;d by< kef.kq we; hkak wmf.a
úYajdih jk w;r" fuu fmd; Y%S ,xldfõ .Ks; wOHdmkhg uy`.= w;aje,la fõjd hkak
wmf.a m%d¾:kh hs'
6-11 fY%aKs .Ks; jHdmD;s lKavdhu
.Ks; fomd¾;fïka;=j
cd;sl wOHdmk wdh;kh'
vi
WmfoaYkh ( uydpd¾h ví,sõ¡ tï¡ wfír;ak nKavdr
wOHlaI ckrd,acd;sl wOHdmk wdh;kh
tï¡ t*a¡ tia¡ mS¡ chj¾Ok uhdksfhdacH wOHlaI ckrd,aúoHd yd ;dlaIK mSGhcd;sl wOHdmk wdh;kh
wëlaIKh ( fla¡ rxð;a m;auisß uhd
wOHlaI.Ks; fomd¾;fïka;=jcd;sl wOHdmk wdh;kh
ie,iqu yd iïnkaëlrKh ( Ô¡ t,a¡ lreKdr;ak uhd" fÊHIaG wOHdmk{
10-11 fY%aKs .Ks;h m%;sld¾h b.ekaùfï jHdmD;s lKavdhï
kdhl
úIh iïnkaëlrKh - ixLHdkh ( Ô' mS' tÉ' c.;a l=udr uhd
fÊHIaG lÓldpd¾h" .Ks; fomd¾;fïka;=j
cd;sl wOHdmk wdh;kh
úIhud,d lñgqj (
fla¡ rxð;a m;auisß uhd wOHlaI" .Ks; fomd¾;fïka;=j
cd;sl wOHdmk wdh;kh
Ô¡ mS¡ tÉ¡ c.;a l=udr uhd fÊHIaG lÓldpd¾h" .Ks; fomd¾;fïka;=jcd;sl wOHdmk wdh;kh
Ô¡ t,a¡ lreKdr;ak uhd fÊHIaG wOHdmk{" .Ks; fomd¾;fïka;=jcd;sl wOHdmk wdh;kh
tï¡ ks,añKs mS¡ mSßia ñh lÓldpd¾h" .Ks; fomd¾;fïka;=jcd;sl wOHdmk wdh;kh
ví,sõ¡ whs¡ Ô¡ r;akdhl ñh lÓldpd¾h" .Ks; fomd¾;fïka;=jcd;sl wOHdmk wdh;kh
tia¡ rdfÊkaøka uhd lÓldpd¾h" .Ks; fomd¾;fïka;=jcd;sl wOHdmk wdh;kh
tÉ¡ fla¡ ã¡ hQ¡ .=Kj¾Ok ñh lÓldpd¾h" .Ks; fomd¾;fïka;=jcd;sl wOHdmk wdh;kh
hQ¡ Ô¡ mS¡ wfír;ak ñh lÓldpd¾h" .Ks; fomd¾;fïka;=j
cd;sl wOHdmk wdh;kh
vii
viii
ndysr iïm;a odhl;ajh (
tï' ta' tia rfn,a ñh úY%dñl .=re WmfoaYsld
î' tï' ìfidaueKsfla ñh .=re WmfoaYsld
fldÜGdi wOHdmk ld¾hd,h" jdßhfmd<
tka' Ô' fifkúr;ak .=re WmfoaYl
l,dm wOHdmk ld¾hd,h" foys úg
wd¾' mS' ã' chisxy .=re WmfoaYl
l,dm wOHdmk ld¾hd,h" foys úg
uqøK ;dlaIK ( ví,sõ' tï' hQ' úfÊiQßh uhd
l<ukdlrKh iyldr wOHlaI ^uqøK&
cd;sl wOHdmk wdh;kh
mß.Kl joka ieliqu ( fla' fk,sld fiakdks ñh
.Ks; fomd¾;fïka;=j
cd;sl wOHdmk wdh;kh
NdIdj ixialrKh ( tÉ¡ mS¡ iqis,a issßfiak uhd
lÓldpd¾h
ydmsá.ï cd;sl wOHdmk úoHdmSGh
msg ljr ks¾udKh ( B¡ t,a¡ ta¡ fla¡ ,shkf.a uhd
uqøKd,h
cd;sl wOHdmk wdh;kh
mgqk
1'0 o;a; /ia lsÍu 1
2'0 o;a; ksrEmKh 6
3'0 o;a; w¾:l;kh 13
4'0 úúla; o;a; yd ika;;sl o;a; 20
5'0 wiuqys; yd iuQys; o;a; w¾:l;kh 24
6'0 iuQys; o;a; ksrEmKh yd w¾:l;kh 32
7'0 W;a;r 40
ix
msgq wxl
1 .Ks;h myiqfjka - 5 ixLHdkh
1.0 o;a; /ia lsÍu
fmr mrSlaIKh (
m%Yak ish,a,g u ms<s;=re imhkak'
1' o;a; /ialsÍfï § tla o;a;hla jdr' 13 la ,enqKs kï o;a; /ia lsÍu
wjidkfha tu o;a;hg wod< jdr .Kk m%.Kk ,l=Kq u.ska olajd ;sìh
hq;= jkafka
(i) f,i h' (iii) /// f,i h'
(ii) //// //// /// f,i h' (iv) //// /// f,i h'
2' //// / m%.Kk ,l=Kq u.ska olajd we;s ixLHdj jkafka"
(i) 5 (ii) 6 (iii) 7 (iv) 1
3' m%.Kk ,l=Kg wod< ixLHd;h iqÿiq mßÈ hd lrkak'
m%.Kk ,l=Kq ixLHd;h
(i) //// 4
(ii) //// /// 5
(iii) //// 8
o;a; /ia lsÍfï § tu m%;sM, igyka lsÍug m%.Kk ,l=Kq fhdod .kshs'
tfia m%.Kk ,l=Kq fhdod ,shk ,o ixLHd lSmhla my; j.=fõ oelafõ'
ixLHdj 1 2 3 4 5 6 8 10 12
m%.Kk,l=Kq
2 .Ks;h myiqfjka - 5 ixLHdkh
by; j.=j wOHhkh lr Tfí hy`Mjd iu`. my; i|yka l%shdldrlïj, fhfokak' m%;sM,
igyka lsÍug m%.Kk ,l=Kq fhdod.kak'
l%shdldrlu 1'1 ( m%.Kk ,l=K Ndú; lruq
l%shdldrlu (a)
• ldishla Wv ouñka ,efnk m%;sM, igyka lrkak'
• fofokd u udrefjka udrejg l%shdldrlfuys fhfokak'
• fufia úisjdrhla l%shdldrlfuys fhfokak'
l%shdldrlu (b)
• fgdksla mshkla Wv ouñka ,efnk m%;sM, igyka lrkak'
• tla wfhl= l%shdldrlfuys fhfok úg wfkla wh m%;sM, m%.Kk ,l=Kqj,ska igykalrkak' fï l%shdldrlfuys o 20 jdrhla ksr; jkak'
• by; l%shdldrlï foflys § tla tla wjia:d i|yd ,enqKq ixLHd; iudk w.hka.;af;a o@
• wfkla lKavdhï i|yd o Tng ,enqKq ixLHd; u ,enqfKa o@ hkak ms<sn| j
idlÉPd lrkak'
ixLHd;hm%.Kk ,l=K
Wvql=re
hál=re
ixLHd;hm%.Kk ,l=K
3 .Ks;h myiqfjka - 5 ixLHdkh
l%shdldrlu 1'2 ( f;dr;=re úuiuq ¦ leálr olajuq'
Tfí mka;sfha hy`Mjkaf.a f;dr;=re úuiñka my; oelafjk j.= iïmQ¾K lrkak'
j.=j I
m%.Kk ,l=K ixLHdkhWmka udih
ckjdß
fmnrjdß
ud¾;=
wfm%a,a
uehs
cQks
cq,s
wf.daia;=
iema;eïn¾
Tlaf;dan¾
fkdjeïn¾
foieïn¾
j.=j II
m%.Kk ,l=K ixLHdkh;udg isák ifydaorifydaoßhka .Kk
0
1
2
3
4
5 fyda 5 g jeä
ixLHd;h
ixLHd;h;udg isák ifydaorifydaoßhka .Kk
m%.Kk ,l=K
Wmka udih m%.Kk ,l=K
4 .Ks;h myiqfjka - 5 ixLHdkh
wNHdih 1'1
1' m%.Kk ,l=Kg wod< ixLHd;h iqÿiq mßos hd lrkak'
m%.Kk ,l=K ixLHd;h
(I)
(II)
(III)
(IV)
11
8
9
10
7
2' rúu,a ;udf.a ksji bosßmi uyd ud¾.fha .uka lrk fudag¾ r:j, j¾Kh i|yka
lsÍfï l%shdldrlul ksr; úh' Tyq úiska iïmQ¾K l< j.=fõ we;eï fldgia
uelSf.dia we;' tu fldgia iïmQ¾K lrkak'
fudag¾ r:j, j¾Kh m%.Kk ,l=K ixLHd;h
ks,a 07
r;=
iqÿ 14
fld,
ly
tl;=j 95
..............
..............
..............
..............
.............. 16
3' my; oelafjk isÕs;s .Sh (Nursery rhyme) wkqj oS we;s j.=j iïmQ¾K lrkak'
Three blind mice,See how they run !
They all run after the farmer's wifewho cut off their tails,
with the carving knife
Did you ever see such a thing in your life,As three blind mice
fjk;a j¾K ''''''''''''' ''''''''''''
tl;=j 67
fudag¾ r:j, j¾Kh m%.Kk ,l=K ixLHd;h
5 .Ks;h myiqfjka - 5 ixLHdkh
jpkhlg we;swl=re .Kk
m%.Kk ,l=K ixLHd;h
1
2
3
4
5
6
7
j.=j weiqßka ms<s;=re imhkak'
(i) by; .Sfha" jeämqr ,eî we;af;a wl=re lSfha jpk o @'
(ii) wl=re 4 g jeäfhka we;s jpk .Kk lSho ' @
jpkhlg we;swl=re .Kk
m%.Kk,l=K
ixLHd;h
6 .Ks;h myiqfjka - 5 ixLHdkh
2'0 o;a; ksrEmKh
fmr mrSlaIKh (
m%Yak ish,a,g u ms<s;=re imhkak'
1' fjf<|i,l" Èkl§ wf,ú l< ri leú,s j¾.hl melÜ .Kk oelafjk
Ñ;% m%ia;drhl fldgila my; oelafõ'
tla la leú,s melÜ 4 kï" tÈk wf,ú lr we;s ri leú,s melÜ .Kk
lSh o@
2' ld¾hd,hl i;sfha Èk 5l § fiajhg fkdmeñKs fiajlhska .Kk my;
;Sr m%ia;drfhka oelafõ'
8
6
4
2
(i) jeä u fiajlhska ixLHdjla fkdmeñKs oji l=ula o@
(ii) nododg jeäfhka n%yiam;skaod fiajlhska lS fofkl= ksjdvq f.k
;sfí o @
fiajlhskaixLHdj
>
i÷od
w`.
yrej
dod
nodo
d
isl
=rdo
d
n%yiam;
skaod oji
7 .Ks;h myiqfjka - 5 ixLHdkh
3' uq`M ,l=Kq 50ka ,l=Kq ,nd ÿka mÍlaIKhl § isiqka lKavdhula ,nd.;a
,l=Kq my; jDka; m;% igyfka oelafõ'
(i) ,l=Kq 25g jeäfhka ,nd.;a isiqka .Kk lSh o@
(ii) fuu ,l=Kqj, ud;h lSh o@
4' isiqka lKavdhul tla tla isiqjd jvd;a u leu;s j¾Kh ms<sn| j ,nd .;a
f;dr;=re my; jg m%ia;drfha olajd we;'
(i) x u`.ska oelafjk fldaKfha w.h lSho@
(ii) r;= j¾Khg leu;s isiqka ixLHdj 4 kï ly j¾Khg leu;s isiqkaixLHdj lSho@
r;=ly
;eô,s
fld<
300
1200x0
0 4 7 8
1 0 3 5 6
2 1 4 4 4 7 9
3 0 2 2 5 6 9
jDka; m;%
8 .Ks;h myiqfjka - 5 ixLHdkh
l%shdldrlu 2'1 ( ieuod mdie,a meñfKuq
22 -
20 -
18 -
16 -
14 -
12 -
10 -
8 -
6 -
4 -
2 -
0 -
ksu,a
meñKSu
idudðlhdf.a ku
• ckjdß udih ;=< ksu,a osk 20la o m%Nd;a osk 18la o mdi,g meñK we;' thby; ;Sr m%ia;drh u.ska olajd we;'
• Tn leu;s hy`Mjka y;r fofkl= iuÕ lKavdhula idod.kak'
• Tfí mka;sfha kduf,aLkh .kak' miq.sh udifha Tn lKavdhfï idudðlhkaf.ameñKSu igyka lr.kak'
idudðlhdf.a ku udih ;=< meñKs osk .Kk
1.
2.
3.
4.
5.
• fldgqrE,a lvodishla f.k by; wdldrhg Tn lKavdhfï tla tla YsIHhd''''''''''''''''''''''''''''''' udih ;=< oS meñKs Èk .Kk weiqßka ;Sr m%ia;drhla w|skak'
• tu udih ;=< jeä u Èk .Kkla mdi,g meñK we;af;a l=uk idudðlhd o@
m%Nd;a
meñKSu
idudðlhdf.a ku
idudðlhdf.a ku udih ;=< meñKs Èk .Kk
9 .Ks;h myiqfjka - 5 ixLHdkh
• kej; kduf,aLkh /f.k" Bg fmr udifha idudðlhkaf.a meñKSu o igyka lr.kak'
• tu f;dr;=re o by; j.=jg we;=<;a jk fia tu j.=jg ;j;a ;Srhla tl;= lr.kak'
• l,ska w¢k ,o ;Sr m%ia;drfha u by; f;dr;=re;a we;=<;a lrkak'
• udi foflys meñKSu fjka jYfhka oelaaùu i|yd my; i|yka h;=r Ndú; lrkak'
................ udifha meñKSu
................ udifha meñKSu
• by; wdldrfha f;dr;=re lSmhla tljr fmkajk ;Sr m%ia;dr y÷kajk úfYaI ku l=ulao@ hkak lKavdhu ;=< idlÉPd lrkak'
wNHdih 2'1
1' tla;rd i;shla ;=< 10 fY%aKsfha isiqkaf.a meñKSu my; oelafjk Ñ;% m%ia;drfhkaoelafõ'
oji meñKSu
isl=rdod
n%yiam;skaod
nodod
wÕyrejdod
i÷od
i. i÷od mdi,a meñKs isiqka ixLHdj 36la kï" lska isiqka lShla ksrEmKh
flf¾ o @
ii. isiqka jeä u ixLHdjla mdi,a meñKsfha ljod o @ ta fldmuK o @
iii. n%yiam;skaodg jvd nodod meñKs isiqka .Kk lSh o @
iv. i;sh ;=< meñKs isiqka uq`M .Kk fidhkak '
10 .Ks;h myiqfjka - 5 ixLHdkh
f;dr;=re jDka; m;%igykl oelaùu
uq`M ,l=Kq 50 la jQ .Ks; m%Yak m;%hlg tla;rd mka;shl isiqka 30 la ,nd .;a,l=Kq my; oelafõ'
8 8 9 10 13 15 17 18 22 22
22 27 28 29 30 31 32 33 38 39
39 40 41 41 41 43 43 46 48 50
tu ,l=Kq jDka; m;% igykl we;=,;a lruq'
0
1
2
3
4
5
8 8 8
0 5 3 7 8
2 2 2 7 8 9
0 1 2 3 8 9 9
0 1 1 1 3 3 6 8
0
jDka; m;%
2' ñksiqka 20 fofkl=f.ka hq;= lKavdhul tla tla mqoa.,hdf.a ialkaOh kg j,skamy; oelafõ'
34 40 35 51 54 53 47 36 42 35
62 53 53 65 71 64 53 46 70 71
fuu f;dr;=re weiqßka my; oS we;s jDka; m;% igyk iïmQ¾K lrkak'
3
4
5
6
7
4 5 5 6
0 2 .. .. ..
1 3 .. .. .. 4
.. .. ..
.. ..
m;%jDka;h
jDka;h m;%
9
3 5
7
--''
11 .Ks;h myiqfjka - 5 ixLHdkh
by; jDka; m;% igyk wkqj lKavdhfï isák"
i' wvq u ialkaOh we;s ñksidf.a ialkaOh fldmuK o @
ii' jeä u ialkaOh we;s ñksidf.a ialkaOh fldmuK o @
iii' ñksiqkaf.a ialkaOj, mrdih lSh o@
iv' ñksiqkaf.a ialkaOj, ud;h lSh o@
v' ñksfil=f.a uOHia: ialkaOh fidhkak'
3' tla;rd mka;shl isiqkaf.ka r;=" ks,a" fld< hk j¾Kj,ska jvd;a u leu;s j¾Khúuid ,nd.;a f;dr;=re we;=<;a j.=jla iy tu f;dr;=re f;dr;=re jg m%ia;drhlskaoelaùu i|yd we¢ jD;a;hla my; oelafõ'
(a) fuu f;dr;=re weiqßka wid we;s m%Yak i|yd ms<s;=re imhkak' ^ oS we;s ms<s;=rew;=ßka ksjeros ms<s;=r f;darkak'&
i' fuu mka;sfha isák uq`M isiqka .Kk lSh o@
(i) 38 (ii) 36 (iii) 34 (iv) 40
ii' ,laIHhla jgd we;s fldaK ish,af,ys tl;=j lSh o@
(i) 900 (ii) 1800 (iii) 2700 (iv) 3600
iii' by; f;dr;=re jg m%ia;drhlska oelaùfï §" tl <ufhl= ksrEmKh lsÍug fjkal< hq;= flakaøsl LKavfha fldaKh .Kkh l< yelafla"
(i) 0360
38 (ii)
0360
36(iii)
0360
34(iv)
0360
40
iv' tla <ufhl= ksrEmKh jk flakaøsl LKavfha fldaKh jkafka"
(i) 60 (ii) 100 (iii) 200 (iv) 90
v' ks,a j¾Khg leu;s isiqka .Kk ksrEmKh lsÍu i|yd fjka l< hq;= fldaKh
jkafka"
(i) 900 (ii) 1400 (iii) 1000 (iv) 1200
vi' r;= j¾Khg leu;s isiqka .Kk ksrEmKh lsÍu i|yd we¢h hq;= fldaKh jkafka"
(i) 1000 (ii) 900 (iii) 1800 (iv) 1400
vii' fld< j¾Khg leu;s isiqka .Kk oelaùu i|yd we¢h hq;= fldaKh jkafka"
(i) 1400 (ii) 1000 (iii) 1200 (iv) 900
ks,a r;= fld<
14 10 12
.
12 .Ks;h myiqfjka - 5 ixLHdkh
(b) Tn ,nd.;a f;dr;=re wkqj § we;s jD;a;h u; jg m%ia;drh w|skak'
4' jvd;a u leu;s l%Svdj ms<sn| isiqka 24 fofkl=f.ka ,nd.;a f;dr;=re my; jgm%ia;drfhka oelafõ'
l%slÜ
w;amkaÿ1200
r.¾600
i' l%slÜ l%Svdjg leu;s isiqka ksrEmKh lrk flakaøsl LKavfha fldaKfha w.hlSh o @
ii' tla YsIHfhl= ksrEmKh lsÍug fjka lr we;s fldaKfha w.h lSh o @
iii' tla tla l%Svdjg leu;s isiqka .Kk fjk fjk u ,shkak'
5' mqoa.,fhl= ;u udisl wdodhfuka 20] la f.j,a l=,S i|yd o" 60]la wdydr i|yd o"10] la wOHdmk lghq;= i|yd o úhoï lrhs' b;sßh Tyq nexl=jl ;ekam;a lrhsfuu f;dr;=re jg m%ia;drhl oelaùu i|yd my; oelafjk j.=j iïmQ¾K lrkak'
úhoï lrk wdldrh m%;sY;h wod< fldaK
20%
.............
............
............
.............................
.............................
.............................
20360 72
100
450
0 0
úhoï lrk wdldrh m%;sY;h wod, fldaKh
f.j,a l=,S
wdydr
wOHdmkh
b;srslsrSï
13 .Ks;h myiqfjka - 5 ixLHdkh
3'0 o;a; w¾: l:kh ^wuqo;a;&
fmr mrSlaIKh (
m%Yak ish,a,g u ms<s;=re imhkak'
1' 3" 7" 8" 5" 9" 10" 8 ixLHd jHdma;sfha ud;h jkafka"
(i) 3 (ii) 10 (iii) 8 (iv) 5
2' tla;rd wdmk Yd,djl i;shla ;=< Èkm;d wf,ú jQ f;a fldamam .Kk my; oelafõ'
25" 32" 40" 28" 32" 40" 27
fjf<|if,a Èkl § wf,ú jQ f;a fldamam .Kfka uOHkHh ,nd.; yels jkafka"
i' ( 25 + 32 + 40 + 28 + 32 + 40 + 27 ) x 7 u.sks
ii' 25 + 32 + 40 + 28 + 32 + 40 + 27 u.sks'
iii' ( 25 + 32 + 40 + 28 + 32 + 40 + 27 ) 7 u.sks '
iv. 27403228403225 u.sks '
3' isiqjl= jdr mÍlaIKhl § úIhhka 8 la i|yd ,nd .;a ,l=Kqj, uOHkHh 65 ls' Tyq,nd .;a uq`M ,l=Kq .Kk ,nd.; yels jkafka"
i' 65 8 u.sks'
ii 65 x 8 u.sks'
iii' 65 8 u.sks'
iv'65
8 u.sks'
4' 4" 5" 6" 7" 7" 8" 10" 12" 13" 14" 15 ixLHd iuQyfha uOHia:h jkafka"
(i) 4 (ii) 15 (iii) 7 (iv) 8
5' 3" 5" 4" 3" 6" 5" 8" 4" 7" 5 ixLHd iuQyfha mrdih jkafka"
(i) 3 (ii) 4 (iii) 7 (iv) 5
14 .Ks;h myiqfjka - 5 ixLHdkh
wNHdih 3'1
1' my; oelafjk ixLHd;aul f;dr;=rej, ud;h fidhkak'^Tnf.a ms<s;=r jgd rjqula w|skak'&
i. 1, 2, 3, 4, 5
(a) 3 (b) ish,a, u (c) ke; (d) 2
ii. 57, 82, 84, 82, 57, 82
(a) 57 (b) 82 (c) 84 (d) ke;
iii. 127, 134, 143, 134, 127
(a) 127 (b) 124 (c) 127 iy 134 (d) ke;
iv. 3, 5, 7, 6, 9, 5
(a) 7 (b) ish,a, u (c) ke; (d) 5
v. 21, 32, 26 , 42, 55, 32
(a) 21 (b) 32 (c) ke; (d) 55
vi. 116, 121, 116, 165, 121
(a) 127 (b) 165 (c) 116 iy 121 (d) ke;
2' uer;ka ;r.hla wjika l< ;r.lrejka mia fofkl= ta i|yd .; l< ld,h my;oelafõ'
meh 2'7 meh 3'5 meh 3'5 meh 5'1 meh 4'9
tu o;a;j, ud;h jkafka"
(i) meh 8'3 h (ii) meh 2'7 h (c) meh 3'5 h (d) ud;hla fkdue;'
o;a; iuQyhl jeä u jdr .KklafhoS we;s ixLHdj tys ud;h fõ
ksoiqk ( 1 1 2 2 2 ixLHd iuQyfha
ud;h } 2 fõ'
15 .Ks;h myiqfjka - 5 ixLHdkh
ksoiqk (
1 7 9 12 13 16 ixLHd i,luq
tys uOHia:h } 12 fõ
2 6 2 8 4 ixLHd i,luq
m<uqj fuu ixLHd wdfrdayK ms<sfj,g ilikak
túg 2 4 6 8 fõ
túg uOHia:h fõ
. .
.
. .
.
.
.
4 6 10
52 2
3' my; oelafjk ixLHd;aul f;dr;=rej, uOHia:h fidhkak' ms<s;=re w;ßka oS we;suOHia: w.h jgd rjqula w|skak'
(i) 3" 4" 7" 2" 5
(a) 5 (b) 4 (c) 3 (d) 2
(ii) 1" 5" 9" 11
(a) 4 (b) 7 (c) 5 (d) 8
(iii) 6" 5" 8" 4" 7
(a) 5 (b) 8 (c) 6 (d) 4
(iv) 3" 9 " 7 " 12
(a) 3 (b) 8 (c) 4 (d) 5
(v) 5" 10" 9 " 7" 11" 8" 13
(a) 5 (b) 13 (c) 7 (d) 9
(vi) 80" 87" 93" 102" 108" 131" 147" 153
(a) 80 (b) 153 (c) 102 (d) 105
wjfrdayK fyda wdfrdayKms,sfj<g ilia l< o;a;
iuQyhl yß ueo mj;sk w.htys uOHia:h fõ'
wjfrdayK fyda wdfrdayKms<sfj<g ilia l< o;a;
iuQyhl yß ueo mj;sk w.h tysuOHia:h fõ'
ms<sfj<gm<uq j
16 .Ks;h myiqfjka - 5 ixLHdkh
oS we;s tla tla o;a; iuQyfha uOHkHh w.h fidhkak' ta wkqj § we;s ms<s;=re w;=ßkaksjerÈ ms<s;=r jgd rjqula w|skak'
o;a; iuQyhl we;s o;a; j, tl;=j
tys we;s o;a; ixLHdfjka fn¥ úg
tu o;a; iuQyfha uOHkHh ,efí
ksoiqk ( 1 2 3 4 5 ys uOHkHh fidhuq
wh .Kkaj, tl;=j
wh .Kka ixLHdj
uOHkHh
1 2 3 4 5 15
5
15
35
4'
(i) 5" 8" 7" 6 9
(a) 6 (b) 5 (c) 8 (d) 7
(ii) 16" 19" 22" 25" 28
(a) 20 (b) 22 (c) 24 (d) 21
(iii) 20" 20" 20" 20
(a) 4 (b) 5 (c) 10 (d) 20
(iv) 100" 200" 250" 150" 300
(a) 200 (b) 225 (c) 250 (d) 275
(v) 2" 6" 9" 9" 9
(a) 8 (b) 6 (c) 9 (d) 7
o;a; j, tl;=j uOHkH
o;a; ixLHdj
17 .Ks;h myiqfjka - 5 ixLHdkh
my; i|yka ksoiqk wOHhkh lrkak'
ksoiqk ( 5, 5, x, 20 ys uOHkHh 10 kï xys w.h lSh o@
l%uh 1 (5 5 20
104
4
x
30
4
x 10 4
30 40
30 30 40 30
10
x
x
x
l%uh 2 ( uOHkHh 10 ksid ixLHd 4 ys tl;=j 10 4 40
oS we;s ixLHd 3 ys tl;=j 5 5 20 30
b;sß ixLHdj (x) 40 30
10
5' (a) my; i|yka tla tla wjia:d i|yd x ys w.h fidhkak' oS we;s ms<s;=re w;rskaksjeros ms<s;=r f;dard th jgd rjqula w|skak'
(i) , 4, 6, 8, 10x ys uOHkHh 6 kï" x ys w.h jkafka"
(a) 6 (b) 28 (c) 7 (d) 2
(ii) 3, , 6x ys uOHkHh 4 kï x ys w.h jkafka "
(a) 3 (b) 6 (c) 9 (d) 12
(iii) 100, 110, 115, 120, x ys uOHkHh 114 kï" x ys w.h jkafka"
(a) 125 (b) 100 (c) 445 (d) 130
(iv) 101, 121, 131, , 151x ys uOHkHh 129 kï" x ys w.h jkafka"
(a) 131 (b) 141 (c) 120 (d) 150
(b) my; i|yka .eg¨ úi|d ms<s;=re ysia fldgqj ;=< ,shkak'
(i.) 45, 62, 72, , 59, 62x ys uOHkHh 61 kï" x ys w.h }
(ii.) 3, , , 8, 5x x ys uOHkHh 10 kï" x ys w.h }
(iii.) 2, 3, , 2, 1x x ys uOHkHh 4 kï" x ys w.h }
(iv) 6, 3, , 4, 3, 5, x y ys uOHkHh 5 kï" x y ys w.h }
(v) ixLHd 15 l uOHkHh 12 ls' thg ;j;a ixLHdjla
tl;= l< úg uOHkHh 13 la úh' tl;= l< ixLHdj"
12" 25" 13 iy 28 w;=ßka l=ula úh yels o @ }
18 .Ks;h myiqfjka - 5 ixLHdkh
6' isiqka 5 fofkl= mÍlaIK 4 l § ,nd.;a ,l=Kq m%;sY; my; oelafõ'
tla tla YsIHhd ,nd.;a ,l=Kqj, uOHkHh yd tla tla mrSlaIKfha oS YsIHhd ,nd .;a
,l=Kqj, uOHkHh fidhd j.=fõ ysia;eka iïmQ¾K lrkak'
(i) Wmßu uOHkHh w.h ,nd f.k we;af;a l=uk mÍlaIKh i|yd o @
(ii) wju uOHkHh w.h ,nd f.k we;af;a l=uk mÍlaIKh i|yd o @
(iii) iudk uOHkH w.hka ,nd f.k we;af;a l=uk mÍlaIK i|yd o @
(iv) iq.;a mÍlaIK ish,a, u i|yd ,nd .;a idudkH w.h lSh o @
(v) mÍlaIK ish,a, i|yd 80] l idudkH w.hla ,nd f.k we;af;a ljqo@
7' oS we;s rel=,a mo wkqj my; oelafjk m%fya,sldj iïmQ¾K lrkak'
my<g
(a) 20" 35" 48" 50" 56" 58" 62" 68 hk ixLHdiuQyfha uOHia:h
(b) hkm%.Kk ,l=Kqj,ska i|yka ixLHdj
(d) ixLHd 20 l ftlHh 360 fõ' tu ixLHdiuQyfha uOHkHh
yryg
(a) 2" 5" 7" 3" 5" 8" 3" 5 hk ixLHd iuQyfhaud;h
(c) 5" 8" 9" 12" 12" 15" 25" 32 hk ixLHd iuQyfhamrdih
(e) iy,a f.daks 20 l uOHkH nr 24kg ls' tu
iy,a f;d.fha uq`M nr kg j,ska'
iq.;a
wkqr
foajl
fcdaka
ud,ka
idudkHh^uOHkHh&
75]
50]
90]
80]
60]
80]
55]
90]
70]
50]
70]
45]
90]
80]
70]
75]
60]
90]
90]
90]
YsIHhdf.aku
mÍCIK 1 2 3 4
mÍCIK mÍCIK mÍCIK idudkH^uOHkHh&
a b
c
d
e
YsIHhdf.aku
mrslaIKh 1
mrslaIKh 2
mrslaIKh 3
mrslaIKh 4
idudkH^ uOHkHh &
19 .Ks;h myiqfjka - 5 ixLHdkh
8' tla;rd udihl oS mka;shl fkdmeñKs isiqka ixLHdj my; oelafõ'
4, 2, 5, 2, 1, 4, 2, 5, 2, 3, 4, 5, 2, 3, 5, 2, 2, 3, 5, 4, 2, 6, 2
i' fuu ixLHd wdfrdayK ms<sfj<g ilia lrkak'
ii' uOHia:fha msysàu fidhkak'
iii' uOHia:h fidhkak'
iv' ud;h fidhkak'
9' (a) 56" 58" 59" 60" 61 (b) 56" 58" 58" 59" 60" 60" 61" 62
by; a yd b ixLHd jHdma;s fol weiqßka ,shd we;s my; m%ldY yß kï ,l=K o"jeros kï ,l=K o fhdokak'
i' a jHdma;sfha mrdih 6 fõ' ^ &
ii' b jHdma;sfha ud; 58 yd 60 fõ' ^ &
iii' a jHdma;sfha ud;h 58 fõ' ^ &
iv' b nyqud; jHdma;shls' ^ &
v' a jHdma;shg ud;hla ke;' ^ &
vi' b ys uOHia: 58 yd 59 fõ' ^ &
vii' a ys uOHia:h 59 fõ' ^ &
viii' a ys uOHkHh 58'8 fõ' ^ &
ix' b ys uOHkHh 60 fõ' ^ &
10' f.j;a;l ;snQ ;lald,s .ilska Èk follg jrla wiajekak fk<d .kakd ,§' tfia,nd .;a ;lald,s f.ä .Kk 5" 5" 8" 6" 4" 8" 10" 5" 12 fõ' fï wkqj my;i|yka m%YAakj,g ms<s;=re imhkak'
(i) Èk lShla wiajkq fk<d ;sfí o @
(ii) fuu ld,h ;=< ;lald,s .fika Èkl § lvd.;aa wvq u ;lald,s f.ä .Kk lSh o @
(iii) fuu f;dr;=j, mrdih lSho @
(iv) fuu .fika lvd.;a ;lald,s f.ä .Kfka ud;h lSh o @
(v) fuu .fika Èkl § lvd .;a ;lald,s f.ä .Kfka uOHkHh w.h fidhkak'
(vi) fujeks .ia 15 la md;a;sfha ;snqfKa kï" tajdhska Èkl § lvd .; yels hehs wfmalaIs;
uOHkH f.ä .Kk fldmuK o@
(vii) by; .ia 15 ka wjia:d 10 l § .; yels hehs wfmalaIs; uq`M f.ä .Kk fidhkak'
20 .Ks;h myiqfjka - 5 ixLHdkh
4'0 úúla; o;a; yd ika;;sl o;a;
fmr mrSlaIKh (
m%Yak ish,a,g u ms<s;=re imhkak'
1' A - ;lald,s .ilska lvd .kakd ,o f.ä .Kk 12 ls'
B - ;lald,s f.ä 10 la weiqrE nE.hl ialkaOh 200g ls'
A yd B m%ldY w;=ßka ika;;sl o;a;h we;=<;a m%ldYh l=ula o@
2' (a) <uhskaf.a jhi
(b) i;shla ;=< ffoksl j¾Idm;kh
(c) i;shla ;=< Èkm;d lvk ,o fmd,a f.ä ixLHdj
(d) Èùfï ;r.hla i|yd iyNd.s jQ l%Svlhska ;r.h ksudj i|yd .; l< ld,h
(e) .ul mjq,ays idudðlhska .Kk
by; oelafjk úp,H w;=ßka úúla; o;a; we;=<;a jkafka"
i' (a) yd (b) ;=< h'
ii' (c) yd (e) ;=< h'
iii' (d) yd (e) ;=< h'
iv' (c) yd (d) ;=< h'
3' my; oelafjk úp,H" l=uk o;a; j¾.hg wh;a oehs fidhd iqÿiq mßÈ hd lrkak'
i' k.rhl ffoksl WIaK;ajh
ii' mdi,l tla tla mka;s ldurfha we;s mqgq .Kk
iii' lmd bj;a l< lïì len,sj, Èk úúla;
o;a;
ika;;sl
o;a;
21 .Ks;h myiqfjka - 5 ixLHdkh
mjq,l isák idudðlhska .Kk ms<sn| f;dr;=re oelaùfï oS idudðlhska.Kk 5" 6" 7 wdoS jYfhka ksYaÑ; j oelaúh yels h' tu f;dr;=rej, wdikako;a; folla w;r fjk;a w.hla fkdmj;S'
fujeks wdikak o;a; w;r fjk;a w.hla fkdmj;sk mka;shl isák isiqkaixLHdj" flfi,a wejßhl f.ä ixLHdj jeks o;a; úúla; o;a; f,i ye|skafõ'
<ufhl=f.a Wi ms<sn| oelaùfï oS 161cm, 162cm, 163cm wdoS jYfhka
olajk úg wdikak w.hka jk 161cm, 162cm w;r 161cm jvd jeä 162cm jvdwvq w.hka mej;sh yels h'
fujeks wkq.dó o;a; w;r ;j;a w.hka mej;sh yels" ÿr" Wi" ld,h"ialkaOh jeks rdYsj,ska ,nd.kakd f;dr;=re ika;;sl o;a; f,i ye|skafõ'
l%shdldrlu 4'1 o;a;" ika;;sl yd úúla; f,i j¾. lruq
my; oelafjk m%ldY ;=< wvx.= o;a; ika;;sl o;a; yd úúla; o;a; f,i fjka fldg,ehsia;= .; lrkak' ta i|yd my; oS we;s wdldrfha j.=jla fhdod .kak'
1' <ufhl=f.a jhi wjqreÿ 10 hs'
2' oskl mx;sfha isák YsIH ixLHdj 20 hs'
3' fmd,a f.ähl nr 725g ls'
4' fmd,a f.dvl f.ä 25 la ;sfí'
5' oskl j¾Idm;kh 20mm ls'
6' iukaf.a mjqf,a idudðlhka .Kk 6 ls'
7' ldishl isri jegqKq jdr .Kk 12 ls'
8' óg¾ 100 osùug .; jQ ld,h ;;amr 45 ls'
9' jpkhl wl=re .Kk 5 ls'
10' ñßia me<Eáhl Wi 6cm ls'
ika;;sl o;a; úúla; o;a;
jhi YsIH ixLHdj
22 .Ks;h myiqfjka - 5 ixLHdkh
wNHdih ( 4'1
1' my; i|yka m%Yak i|yd ksjeros ms<s;=r f;darkak'
i' ika;;sl o;a;h wvx.= jkafka mQid iïnkaO l=uk m%ldYfha o @
A W!g weia folla ;sfí
B W!g megõ mia fofkla isáhs'
C Wf.a nr 4 kg
D W!g mdo y;rla ;sfí'
ii' úúla; o;a;h wvx.= jkafka n,a,d iïnkaO my; oelafjk m%ldY w;=ßka l=ukm%ldYfha o @
A W!f.a os. 128.6cm ls'
B W!f.a Wi 88.8cm ls'
C W!f.a nr 15.9 kg ls'
D W!g o;a 30 la ;sfí'
iii' úúla; o;a;h wvx.= jkafka iEï iïnkaO my; oelafjk m%ldY w;=ßka l=ukm%ldYfha o @
A iEïf.a Wi 160cm ls'
B iEïf.a nr 60kg ls'
C iEï ;;amr 10'2 oS 100m ÿjhs'
D iEïg ifydaorhka fofofkla yd ifydaoßhlaisáhs'
2' my; i|yka o;a;" ika;;sl fyda úúla; f,i fjkalr my; oelafjk j.=fjys olajkak'
1' mka;shl isák isiqka ixLHdj
2' tla;rd úNd.hl .Ks;h m%Yak m;% i|yd isiqka ,nd.;a ,l=Kq
3' lvodis melÜ lSmhl tla tla melÜ tflys we;s lvodis .Kk
23 .Ks;h myiqfjka - 5 ixLHdkh
4' ud`M l+Íka lSm fofkl=f.a ialkaO
5' .ul ck.ykh
6' fros len,s lsysmhl os.
7' úÿ,s nqnq,l Ôj wdhqld,h
8' fld<U k.rfha tla udihl WIaK;ajh
9' rdlalhl we;s fmd;a .Kk
10' .ul mjq,l isák orejka .Kk
3' .e<fmk mrsos hd lrkak'
(i) i;shlg we;s osk .Kk
(ii) mka;shl isák tla tla isiqjdf.a ialkaO
(iii) flfi,a wejßhl we;s f.ä .Kk
(iv) <uhska lKavdhul tla tla <uhdf.a Wi
(v) ÿrl:k ixjdohla i|yd .;jk ld,h
(vi) ñksil=f.a udisl jegqm
ika;;sl o;a;úúla; o;a;
ika;;sl
o;a;
úúla;
o;a;
24 .Ks;h myiqfjka - 5 ixLHdkh
5.0 wiuqys; yd iuQys; o;a; w¾:l:kh
fmr mrSlaIKh (
m%Yak ish,a,g u ms<s;=re imhkak'
tla;rd fjf<| wdh;khlg i;shla ;=< meñKs mdßfNda.slhska ixLHdj we;=<;alsÍu i|yd ilia l< mka;s m%dka;rj, fldgila my; oelafõ'
fuu mka;s m%dka;r weiqßka m%Yak wxl ^1& iy ^2& i|yd ms<s;=re imhkak'
1' 56 - 60 mka;s m%dka;rhg wod< mka;s udhsï ,nd.; yels jkafka"
i'(55 56)
2
yd
(60 65)
2
u.sks'
ii'(51 56)
2
yd
(60 61)
2
u.sks'
iii' (55 56)
2
yd (60 61)
2
u.sks'
iv' (55 60)
2
yd (60 65)
2
u.sks'
2' 61 - 65 mka;s m%dka;rhg wod< uOH w.h ,nd.; yels jkafka"
i' 61" 65 ka .=Klr 2 ka fn§fuks'
ii' 65 ka 61 la wvqlr 2 ka fn§fuks'
iii' 65" 61 ka fn§fuks'
iv' 61 iy 65 tl;= lr 2 ka fnoSfuks'
mka;s m%dka;r
51 - 55
56 - 60
61 - 65
25 .Ks;h myiqfjka - 5 ixLHdkh
tla;rd oskl nexl=jl uqo,a .kqfokq i|yd meñKs mdßfNda.slhska msßila ;u ld¾hh bgqlr.ekSu i|yd fmda,sfuys /¢ isá ld,h ñks;a;=& we;=<;a ixLHd; jHdma;shla my; oelafõ'
^fuys 4-10 hkq 4 fyda 4 g jeä yd 10 g wvq jYfhks&
ld,h mdßfNda.slhska ^ñks;a;=& ixLHdj
4-10 15
10-16 12
16-22 8
22-28 3
28-34 2
fuu ixLHd; jHdma;sh weiqßka m%Yak wxl ^3& isg ^5& olajd m%Yakj,g ms<s;=re
imhkak'
3' jeä u msßila fmda,sfï /£ isá ld, m%dka;rh jkafka"
i' 28 - 34
ii' 4 - 10
iii' 16 - 22
iv' 22 - 28
4' ixLHd; jHdma;sfhys uOHia:h wvx.= mka;sh jkafka"
i' 10 - 16
ii' 16 - 22
iii' 22 - 28
iv' 28 - 34
40
26 .Ks;h myiqfjka - 5 ixLHdkh
5' by; ixLHd; jHdma;sfhys mka;s m%dka;rj,g wod< uOH w.h ms<sfj<ska 7" 13" 19" 25yd 31 kï" tÈk mdßfNda.slhl= nexl=fõ /£ isá uOHkHh ld,h ,nd .; yelsjkafka"
i' 4031)251913 (7 u.sks'
ii' 40)23812 (15 u.sks'
iii' 4031)225319813 12 7(15 u.sks'
iv' 4031)251913 (7 u.sks'
6' tla;rd m,;=re fjf<|i,l udihla ;=< Èkm;d wf,ú jQ mefmd,a lsf,da .a?ï.Kk we;=<;a ixLHd; jHdma;shla my; oelafõ'
wf,ú jQ mefmd,a
m%udKh (kg)
4-8 4
8-12 6
12-16 10
16-20 5
20-24 3
24-28 2
i' jeä u Èk .Kkla wf,ú jQ mefmd,a lsf,da .a?ï .Kk we;=<;a m%dka;rh
l=ula o@
ii' 12-16 mx;sfha uOH w.h Wml,ams; uOHkHh f,i f.k Èkl § wf,ú lr we;s
uOHkHh mefmd,a lsf,da .a?ï .Kk fidhkak'
iii' mefmd,a 1 kg l ñ, re' 60'00 kï" Èk 45 l § mefmd,a wf,úfhka ,efí hehs
wfmalaIs; wdodhu fidhkak'
Èk .Kk
27 .Ks;h myiqfjka - 5 ixLHdkh
wNHdih ( 5'1
1' my; j.=fõ oelafjkqfha j;a;l ;snQ fmd,a .ia 50 lska tla uqrhl § lvd .;a
f.ä .Kka h'
wh.Kk (x) ixLHd;h (x)
.ilska levQ f.ä .Kk .ia .Kk
8 1
9 2 ....................
10 4 ....................
11 14 ....................
12 10 ....................
13 8 ....................
14 6 ....................
15 5 ....................
by; f;dr;=re weiqßka"
(i) .ilska lvd.; yels f.ä .Kfka ud;h fidhkak'
(ii) uOHia:h fidhkak'
(iii) uOHia:hg jvd jeä .Kkla f.ä lvd.; yels jQ .ia .Kk lSh o @
(iv) fx ;Srh iïmQ¾K lrkak'
(v) ixLHd; ;Srfha tl;=j tkï
(vi) fx ;Srfha tl;=j tkï
(vi)
2'0 my; j.=fjys § we;s mka;s m%dka;r w;ßka 32 - 38 mka;s m%dka;rfha"
(i) my< iSudj l=ula o@
(ii) by< iSudj l=ula o@
(iii) my< mka;s udhsu l=ula o@
(iv) by< mka;s udhsu l=ula o@
818
fx
f = fx =
fx lSh o@
f lSh o@
f
fxhkak Ndú; lr" .ilska lvk ,o uOHkHh fmd,a f.ä .Kk wdikak mQ¾K ixLHdjg
fidhkak'
25 31
32 38
39 45
28 .Ks;h myiqfjka - 5 ixLHdkh
(v) mka;sfha ;ru lSh o@
(vi) uOH w.h fidhkak'
3'0 <uhska 40 lg ksjfia isg mdi,g taug .;jk ld,h ms<sn| ,nd .;a f;dr;=re my; ixLHd; jHdma;sfha oelafõ'
^10 - 15 hkq 10 fyda 10 g jeä " 15 g wvq fõ'&
.;jk ld,h ^ñks;a;=j,ska& ixLHd;h
5 - 10 4
10 - 15 9
15 - 20 15
20 - 25 4
25 - 30 5
30 - 40 3
(i) ñks;a;= 10 lg wvq ld,hl § mdi,g meñfKk <uhska .Kk lSho@
(ii) jeä fofkl=g mdi,g meñKSug .;jkqfha l=uk ld, mr;rhla o@
(iii) fuys ud; mka;sh l=ula o@
4'0 ,l=Kq 50 ka fok ,o m%Yak m;%hlg <uhska lKavdhula ,nd .;a ,l=Kq my;ixLHd; jHdma;sfha oelafõ'
mka;s 0-5 6-10 11-15 16-20 21-25 26-30 31-35 36-40 41-45 46-50 m%dka;rh
ixLHd;h 2 2 3 3 5 10 6 4 2 3
29 .Ks;h myiqfjka - 5 ixLHdkh
fuu mÍlaIKfha § <ufhl= ,nd .;a uOHkHh ,l=K fiùu i|yd my; oelafjk j.=j fhdod.kak'
mka;s ixLHd;h (f) uOH w.h (x)
m%dka;rh
0-5 2 2'5 5'0
6-10 2
11-15 3
16-20 3
21-25 5
26-30 10
31-35 6
36-40 4
41-45 2
46-50 3
(i) uOH w.h ;Srej iïmQ¾K lrkak
(ii) fx ;Srh iïmQ¾K lrkak'
(iii)
5'0 tla;rd .Ks; .eg¨jla id¾:l j úi£ug isiqka iuQyhla .;a ld,h wdikak ñks;a;=jgmy; j.=fõ oelafõ'
mka;s 1-3 4-6 7-9 10-12 13-15 16-18 19-21 22-24 m%dka;rh
ixLHd;h 0 5 6 8 10 9 7 5
(i) .eg¨j úi£ug .; jQ ld,fha ud; mka;sh fidhkak'
(ii) .eg¨j úi£ug .; jQ ld,fha uOHkHh fiùu i|yd my; oelafjk j.=j iïmQ¾Klrkak'
fx
f = xf =
uOHkHh =
f
xf hkak Ndú; lrñka" isiqjl=g ms<s;=re ,sùug .;
jQ uOHkHh ld,h wdikak ñks;a;=jg fidhkak'
30 .Ks;h myiqfjka - 5 ixLHdkh
(a)uOH w.h ;Srej iïmQ¾K lrkak'
(b) ñks;a;= 14 Wml,ams; uOHkHh (A) f,i .ksñka ;Srh d iïmQ¾K lrkak'
(c) fd ;Srh iïmQ¾K lrkak'
(d) uOHkHh
f
dfA hkak Ndú; lrñka isiqjl=g" fuu .eg¨jg ms<s;=re ,sùug
.;jQ uOHkHh ld,h wdikak ñks;a;=jg fidhkak'
6'0 my; oelafjk m%ldY .Ks;uh jYfhka i;H kï" ,l=K o wi;H kï"
,l=K o bÈßfha we;s fldgqfõ olajkak'
1' ixLHd jHdma;shl ud;h hkq jeä jdr" .Kkla fhfok ixLHdj hs'
2' uOHia:fha msysàu 1
2
n hkafkka ,nd .; yels h'
3' ud;h uOHia:h yd uOHkHh w;=rska" uOHkHh jvd;a fyd|
ksrEmH w.hls'
mka;s ^ld,h& ixLHd;h uOH w.h wm.ukh ixLHdkh x wm.ukh m%dka;rh f x d f x d
1-3 0 2 ''''''''''''''''''''' '''''''''''''''''''''''''
4-6 5 '''''''''''''''''''' ''''''''''''''''''''' '''''''''''''''''''''''''
7-9 6 8 ''''''''''''''''''''' '''''''''''''''''''''''''
10-12 8 '''''''''''''''''''' ''''''''''''''''''''' ''''''''''''''''''''''''
13-15 10 '''''''''''''''''''' ''''''''''''''''''''' '''''''''''''''''''''''''
16-18 9 '''''''''''''''''''' ''''''''''''''''''''' '''''''''''''''''''''''''
19-21 7 20 ''''''''''''''''''''' '''''''''''''''''''''''''
22-24 5 ''''''''''''''''''''' ''''''''''''''''''''' '''''''''''''''''''''''
f 50 df
31 .Ks;h myiqfjka - 5 ixLHdkh
wxl 4 - 8 olajd we;s m%Yakj,g ms<s;=re ,sùu i|yd my; oelafjk j.=fõ we;s f;dr;=re fhdod
.kak'
mka;s 15-19 20-24 25-29 30-34 35-39 40-44 45-49 50-54 m%dka;rh
ixLHd;h 2 6 10 12 11 5 3 1
4' ud;h wvx.= mka;s m%dka;rh 30-34 fõ'
5' uOHia:h wvx.= jkafka 25-29 mka;s m%dka;rfha h'
6' fuys o;a; 50 la ;sfí'
7' fuys iEu mka;s m%dka;rhl u ;ru 5 fõ'
8' 20-24 mka;s m%dka;rfha uOH w.h 22 fõ'
32 .Ks;h myiqfjka - 5 ixLHdkh
6.0 iuQys; o;a; ksrEmKh yd w¾:l:kh
fmr mrSlaIKh (
m%Yak ish,a,g u ms<s;=re imhkak'
1' isiqka lKavdhula .Ks; l%shdldrlula iïmQ¾K lsÍu i|yd jeh l< ld,h we;=<;acd, f¾Lhla my; oelafõ'
i' l%shdldrlu i|yd ñks;a;= 35 g jeä ld,hla jeh l< isiqka .Kk lSho@
ii' lKavdhfï isá uq`M isiqka .Kk lSho@
iii' fuu cd, f¾Lh msgm;a lr th u; ixLHd; nyqwi%h w¢kak'
2' 7" 8" 9" 10" 11" 13" 14" 15" 16" 17" 18 ixLHd jHdma;sfha
i' m<uqjk p;=¾:lh lSho@
ii' ;=kajk p;=¾:lh lSho@
iii' tu.ska wka;Ya p;=¾:l mrdih fidhkak'
15 20 25 30 35 40ld,h ^ñks;a;=&
>45 500
2
4
6
8
10
12
isiqk
a .K
k
>
33 .Ks;h myiqfjka - 5 ixLHdkh
3' t<j¨ wiqrd we;s fmÜá lsysmhl ialkaO we;=<;a ixLHd; jHdma;shla my; oelafõ'
ialkaOh (kg) fmÜá .Kk iuqÉÑ; ^ixLHd;h& ixLHd;h
2 - 4 1 1
4 - 6 2 3
6 - 8 4 7
8 - 10 3 10
10 - 12 x 12
i' § we;s f;dr;=re weiqßka x ys w.h fidhkak'
ii' my; § we;s wlaI moaO;sh msgm;a lrf.k th u; iuqÉÑ; ixLHd; m%ia;drhw¢kak'
>
iuqÉÑ;
ixL
Hd;
h
by, udhsu
0
2
4
6
8
10
12
2 4 6 8 10 12>
14
34 .Ks;h myiqfjka - 5 ixLHdkh
wNHdih 6'1
1' f;a o¨ tl;= lrk uOHia:dkhlg" jeú,slrejka f.k wd f;a o¨ m%udK oelafjk
wiïmQ¾K j.=jla iy tu f;dr;=re oelaùug w¢k ,o wiïmQ¾K cd, f¾Lhla my;
oelafõ'
ialkaOh (kg) 5-10 10-15 15-20 20-25 25-30
jeú,slrejka .Kk 2 ''''' '''''' 7 4 ^ixLHd;h&
(i) cd, f¾Lfha b;sß ia;ïN fol iïmQ¾K lrkak'
(ii) cd, f¾Lh fyd¢ka ksÍlaIKh lrñka j.=fõ ysia;eka iïmQ¾K lrkak'
(iii) fï wkqj tÈk f;a o¨ f.fkk ,o uq`M jeú,slrejka .Kk lSho@
(vi) 20kg fyda 20kg g jeäfhka f.k tk ,o jeú,slrejka .Kk" (a) 29 (b) 11
(c) 7 (d) 28 hk fïjd w;=ßka lSh o@
(v) by; cd, f¾Lh u; ixLHd; nyqwi%h w¢kak'
5
10
0
20
ixL
Hd;
h
15
5 10 15 20 25 30nr(kg)
35 .Ks;h myiqfjka - 5 ixLHdkh
2' 50 ka ,l=Kq fokq ,enQ mÍlaIKhl § isiqka msßila ,nd .;a ,l=Kq weiqßka w¢k ,ocd, f¾Lhla my; oelafõ'
(i) by; cd, f¾Lfha oelafjk f;dr;=re wkqj my; oelafjk ixLHd; j.=j iïmQ¾Klrkak'
mka;s ixLHd;h
m%dka;rh ^isiqka .Kk&
0 -10 3
'''''''''''' ''''''''''''''
'''''''''''' ''''''''''''''
'''''''''''' ''''''''''''''
40 - 50 '''''''''''
(ii) by; j.=j weiqßka isiqka ,nd .;a ,l=Kqj, uOHkHh" wdikak mQ¾K ixLHdjgfidhkak' tu w.h;a " cd,f¾Lh weiqrska jeäu isiqka .Kkla ,nd.;a ,l=Kqm%dka;rh;a fidhd tajd ii|kak '
(iii) § we;s cd, f¾Lh msgm;a lrf.k ixLHd; nyqwi%h w¢kak'
3' tla;rd mdi,l l%Svd ksjdihl isá isiqkaf.a Wi ms<sn| ,nd .;a f;dr;=re my;j.=fõ § we;' j.=j fyd¢ka ksÍlaIKh lr m%Yakj,g ms<s;=re imhkak'
mka;s m%dka;rh 110-125 125-130 130-135 135-140 140-145 145-155
Wi (cm)
ixLHd;h 21 10 11 12 8 6 ^isiqka .Kk&
>
0
2
4
6
8
10
12
10 20 30 40 50 60
isiqk
a .K
k
,nd.;a ,l=Kq>
36 .Ks;h myiqfjka - 5 ixLHdkh
(i) j.=fõ we;=<;a iEu mka;s m%dka;rhl u ;ru iudk jkafka o@
(ii) 110-125 mka;s m%dka;rfha ;ru 125-130 mka;s m%dka;rfha ;ru fuka lS .=Khla o@
(iii) my; i|yka wlaI msgm;a lrf.k by; j.=j weiqßka cd, f¾Lh w¢kak'
4' isiqka msßila .Ks; we.hSul § ,nd .;a ,l=Kq weiqfrka w¢k ,o cd, f¾Lhla my;oelafõ'
fuu cd, f¾Lh weiqßka"
(i) ud; mka;sh fidhkak'
(ii) ,l=Kq 30 g jeäfhka ,nd .;a isiqka .Kk fidhkak'
(iii) fuu we.hSug ,lajQ uq`M isiqka .Kk fidhkak'
(iv) fuu cd, f¾Lh u; ixLHd; nyqwi%h w¢kak'
isiqka.Kk
Wi (cm)
60
>
0
2
4
6
8
10
12
10 20 30 40 50 80 90>
70
14
,l=Kq
isiqk
a ixL
Hdj
37 .Ks;h myiqfjka - 5 ixLHdkh
p;=¾:l
ksoiqk ( 2" 2" 4" 4" 5" 7" 8" 8" 10" 10" 12"
fuu ixLHd iuQyfha
i. m<uqjk p;=¾:lh - Q1
ii. ;=kajk p;=¾:lh - Q3
iii. wka;Ya p;=¾:l mrdih 3 1(Q Q ) fidhkak'
2" 2" 4" 4" 5" 7" 8" 8" 10" 10" 12"
m<uqjk uOHia:h ;=kajk
p;=¾:lh p;=¾:lh
Q1
Q3
(i) fuu jHdma;sfha f;dr;=re .Kk 11
m<uqjk p;=¾:lfha msysàu = 34
12
4
111
m<uq p;=¾:lh 4
(ii) f;jk p;=¾:lfha msysàu
94
312
4
3111
f;jk p;=¾:lh 10
(iii) wka;Ya p;=¾:l mrdih 3 1(Q Q ) 6410
5'0 my; i|yka ixLHd jHdma;sj,
(a) m<uqjk p;=¾:lh - Q1
(b) ;=kajk p;=¾:lh - Q3
(c) wka;Ya p;=¾:l mrdih 3 1(Q Q ) fidhkak'
(i) 8 ,9 ,10 ,12 ,13 ,15 ,17
(ii) 4, 5, 5, 6, 7, 7, 7, 8, 8, 9, 10, 12, 14, 15, 16
(iii) 15, 24, 20, 18 16, 26, 23,
(iv) 2, 10, 8, 7 , 5, 3, 11, 13, 9
> > >
38 .Ks;h myiqfjka - 5 ixLHdkh
6'0 iq`M mrsudKfha lsrsyrla f.dúm<l ffoksl j ,nd .;a lsß ,Sg¾ .Kk weiqßkamy; oelafjk j.=j f.dvk.d we;'
lsß ,Sg¾ Èk .Kk iuqÉÉ; jl%h i|yd mka;s m%dka;rh& ixLHd;h& LKavdxl
0- 2 2 2 ( 2 , 2 )
2- 4 6 8 ( 4 , 8 )
4- 6 6 14 ( 6 , 14 )
6- 8 4 ...... ( 8 , .... )
8-10 ....... 20 ( .... , 20 )
(i) by; j.=fõ ysia;eka iïmQ¾K lrkak'
(ii) § we;s iuqÉÑ; ixLHd; jl%h Ndú;fhka by; f;dr;=rej, uOHia:h fidhkak'
(iii) by; ixLHd jHdma;sfha m<uqjk p;=¾:lh Q1=3.0 fõ' iuqÉÑ; ixLHd;
jl%h Ndú;fhka ;=kajk p;=¾:lh 3(Q ) fidhkak'
ixLHd;h
5.31Q
iuqÉÑ;
ixLHd;h
by< udhsu0 2 4 6 8 1 0
20
15
10
5
by< udhsu
39 .Ks;h myiqfjka - 5 ixLHdkh
7' ksñ we÷ï lïy,lska bj;a lrk ,o frÈ len,s 100 l È. uksk ,§' tu f;dr;=remy; j.=fjys oelafõ'
lene,a,l È. len,s .Kk iuqÉÑ; jl%h i|yd
(cm) ixLHd;h (d) LKavdxl
0-10 3 3 ^10" 3&
10-20 6 9 ^20" 9&
20-30 11 20 '''''''''''
30-40 18 ''''''''''' '''''''''''
40-50 23 ''''''''''' '''''''''''
50-60 16 ''''''''''' '''''''''''
60-70 15 ''''''''''' '''''''''''
70-80 8 ''''''''''' '''''''''''
i. by; j.=fjys ysia;eka iïmQ¾K lrkak'
ii. fuu f;dr;=re weiqßka iuqÉÑ; ixLHd; jl%h w¢kak'
iii. w¢k ,o iuqÉÑ; ixLHd; jl%h weiqßka bj;a lrk ,o frÈ lene,a,l uOHia: È.fidhkak'
iv. fuu f;dr;=rej,g wod< Q1 yd Q
3 fidhd wka;Ya p;=¾:l mrdih fidhkak'
8' mefmd,a f.ä f;d.hl ialkaO ms<sn| f;dr;=re my; j.=fjys oelafõ'
mka;s 250-500 500-750 750-1000 1000-1250 1250-1500 1500-1750 m%dka;r
ixLHd;h 2 5 12 10 8 3 ^f.ä .Kk&
i. by; f;dr;=re weiqßka iuqÉÑ; ixLHd; jl%h w¢kak'
ii. iuqÉÑ; ixLHd; m%ia;drh Ndú;fhka ms<s;=re imhkak'
(a) mefmd,a f.ähl ialkaOfha uOHia: w.h fidhkak'
(b) fuu f;d.fha jeä u nr we;s mefmd,a f.ä 25% fjka lr .ekSug wjYH jwe;' ta i|yd f;dard .; hq;af;a ialkaOh lShg jeäfhka we;s f.äoehs
fidhkak'
40 .Ks;h myiqfjka - 5 ixLHdkh
ms<s;=re
1'0 o;a; /ia lsÍu
fmr mrslaIKh
1. ii. 2. ii. 3.
1.
tl;=j 67
i) .Sfha jeämqr ,eî we;af;a wl=re 3 jpk
ii) wl=re 4 g jeä jpk .Kk = 11
2'0 o;a; ksrEmKh
fmr mÍlaIKh
1. 24 2. i) n%yiam;skaod ii) 63. i) 8 ii) 244. i) 1200 ii) 12
2. fudag¾ r:j, j¾Kh m%.Kk ,l=K ixLHd;hks,a 7r;= 10iqÿ 14fld, 8ly 16fjk;a j¾K 12
m%.Kk ,l=Kq ixLHd;h
(i) 4
(ii) 5
(iii) 8
3. jpkhlg we;s wl=re .Kk m%.Kk ,l=K ixLHd;h
1 1
2 2
3 13
4 10
5 9
6
7 2
wNHdih 1' 1
1189107
2
41 .Ks;h myiqfjka - 5 ixLHdkh
wNHdih 2'1
1. i) 4 ii) wÕyrejdod - 38 iii) 2 iv) 172
2. jDka;h m;%3 4 5 5 64 0 2 6 75 1 3 3 3 3 46 2 4 57 0 1 1
3. (a) i. (ii) ii. (iv)iii. (ii) iv. (ii)v. (ii) vi. (i)vii. (iii)
(b)
4. i. 1350 ii. 150
iii. w;amkaÿ 8 , fgksia 3 , r.¾ 4 , l%slÜ 9 .
5. úhoï lrk wdldrh m%;sY;h wod, fldaKh
f.j,a l=<S 20% 20 x 3600 = 720
100wdydr 60% 60 x 3600 = 2160
100wOHdmkh 10% 10 x 3600 = 360
100b;srslsrSï 10% 10 x 3600 = 360
100
1400 r;=ks,a
fld< 1200 1000
b;srslsÍï
100
wOHdmkh 100 2160 wdydr720
f.j,a l=<S
(i)34 kg
(ii)71kg
(iii) 34 71 ,37
(iv)53
(v)53
42 .Ks;h myiqfjka - 5 ixLHdkh
3'0 o;a; w¾: l:kh
fmr mßl aIKh
1. (iii) 2. (iii) 3. (ii) 4. (iv)
5. (iv)
wNH dih 3 ' 1
1. i. (c) ii. (b) iii. (c) iv. (d)v. (b) vi. (c)
2. (c)
3. i. (b) ii. (b) iii. (c) iv. (b)v. (d) vi. (d)
4. i. (d) ii. (b) iii. (d) iv. (a)v. (d)
5. a. i. (d) ii. (a) iii. (a) iv. (b)
b. i. x = 66 ii. x = 17 iii. x = 6iv. x + y = 14 v. 28
6. 75% 52.5% 90% 80% 67.5%
71% 69% 71% 81%
i mrslaIK wxl 4
ii mrslaIK wxl 2iii. mrslaIK wxl 1 yd 3iv. 75%v. fcdaka
7. 5 4
3 2 7
1
4 8 0
8 . i. 1 ,2,2 ,2,2 ,2,2 ,2 ,2 ,2 ,3 ,3 ,3,4 ,4,4 ,4,5 ,5 ,5 ,5 ,5 ,6
ii. uOHia:fha msysàu = 23 + 1 = 24 = 12 2 2
iii. uOHia:h = 3iv. ud;h = 2
43 .Ks;h myiqfjka - 5 ixLHdkh
9. i. ii. iii. iv. v.
vi. vii viii. ix.
10. i. 9 ii. 4 iii. 8 iv. 5v. 63/9 = 7 vi. 15 x 7 = 135 vii. 1350
4.0 úúla; o;a; yd ika;;sl o;a;
fmr mr Sl aIKh
1. B 2. (ii) 3. i yd ii ika;;slii úúla; o;a;
wNH dih 4'1
1. i. (c) ii. (d) iii. (d)
2. úúla; o;a; - 1 , 2 , 3 , 5 , 9 , 1 0
ika;;sl o;a; - 4 , 6 , 7 , 8
3. úúla; o;a; - (i) , (iii) , (vi)
ika;;sl o;a; - (ii) , (iv) , (v)
5.0 wiuQys; yd iuQys; o;a; w¾: l:kh
fmr mrSlAIKh
1. (iii) 2. (iv) 3. (ii) 4. (i)5. (iii)6. i. 12 - 16ii.
wf,ú jQ mefmd,a uOH w.h wm.ukh osk .Kk f x dm%udKh (x) (d) (f)
4 - 8 6 -8 4 -328 - 12 10 -4 6 -2412-16 14 0 10 016-20 18 4 5 2020-24 22 8 3 2424-28 26 12 2 24
30f 5668fd
12
44 .Ks;h myiqfjka - 5 ixLHdkh
oskloS wf,újQ uOHkHh mefmd,a ialkaOh30
1214
kg4.14
4.014
iii. lsf,da.%Euhla re 60 kï osk 45 l wdodhu = 45604.14
= re 00.38880
wNHdih 5'1
1. i. ud;h = 11 ii. uOHia:h = 12 iii. fmd,a.ia .Kk = 19iv.
.ilska levQ f.ä .Kk .ia .Kk f x
8 1 8 x 1 = 089 2 9 x 2 = 1810 4 10 x 4 = 4011 14 11 x 14 = 15412 10 12 x 10 = 12013 8 13 x 8 = 10414 6 14 x 6 = 8415 5 15 x 5 = 75
50f 603fx
v. 50f
vi. 603fx
vii. uOHkHh fmd,a f.ä .Kk 50
603 = 12.06
wdikak mQ¾K ixLHdjg = 12
2. i. 32 - 38 mka;sfha my< iSudj = 32ii. 32 - 38 mka;sfha by< iSudj = 38iii. my< mka;s udhsu = 31.5iv. by< mka;s udhsu = 38.5
v. mka;shl ;ru = 38.5 - 31.5= 7
vi. mka;sfha uOH w.h = 352
70
2
3832
oskloS wf,újQ uOHkHh mefmd,a ialkaOh = Wml,ams; uOHkHh + fd
f
45 .Ks;h myiqfjka - 5 ixLHdkh
3. i. 4 ii. 15 - 20 iii. 15 - 20
4. mka;s ixLHd;h (f) uOH w.h fxm%dka;rh (x)
0-5 2 2.5 5.06-10 2 8 1611-15 3 13 3916-20 3 18 5421-25 5 23 11526-30 10 28 28031-35 6 33 19836-40 4 38 15241-45 2 43 8646-50 3 48 144
40 1089
iii. uOHkHh = 225.2740
1089
5. i. ud; mka;sh = 13 - 15ii.
mka;s m%dka;rh ixLHd;h uOH w.h wm.ukh ixLHdkh x wm.ukh
^ld,h& f x d f d
1-3 0 2 -12 04-6 5 5 -9 -457-9 6 8 -6 -3610-12 8 11 -3 -2413-15 10 14 0 016-18 9 17 3 2719-21 7 20 6 4222-24 5 23 9 45
50 114- 105
09fd
d. uOHkHh = 50
914
= 18.014
= 18.14ms<s;=re ,sùug .;jQ ld,h = ñks;a;= 14
6. 1. 2. 3. 4. 5. 6. 7. 8.
46 .Ks;h myiqfjka - 5 ixLHdkh
6.0 iduQys; o;a; ksrEmKh yd w¾:l:kh
fmr mrslaIKh
1. i. 2+2 = 4 ii. 25iii.
isiqka ixLHdj
ld,h ^ñks;a;=&15 20 25 30 35 40 45 50
10 --
8 --
6 --
4 --
2 --
0 --
ixLHd; nyqwY%h
2. i. m<uq p;=¾:lh = 9ii. m<uq p;=¾:lh = 16iii. wka;¾ p;=¾:l mrdih = 16 - 9 = 7
3. i. x = 2ii.
iuqÉÑ;ixLHd;h
ialkaOh
12 --
10 --
8 --
6 --
4 --
2 --
0 --
2 4 6 8 10 12 14 16
47 .Ks;h myiqfjka - 5 ixLHdkh
wNHdih 6' 1
1. i.
5 10 15 20 25 30 35
25 --
20 --
15 --
10 --
5 --
0 --
ixLHd;h
nr ^lsf,da.%Eï&
ii.nr 5 - 10 10 - 15 15 -20 20 - 25 25 - 30
jeú,slrejka .Kk 2 10 18 7 4
iii. jeú,slrejka .Kk = 41iv. 20 kg fyda Bg jeäfhka f.fkk jeú,slrejka .Kk = 11
2. i.mka;s m%dka;r ixLHd;h m' m%d' u'w' f fx
0 - 10 3 0 - 10 5 3 1510 - 20 8 10 - 20 15 8 12020 - 30 12 20 - 30 25 12 30030 - 40 5 30 - 40 35 5 17540 - 50 4 40 - 50 45 4 180
ii.
isiqka .Kk
10 20 30 40 50 60 70,nd.;a ,l=Kq
12 --
10 --
8 --
6 --
4 --
2 --
-- 0
32 790
79024.68
32
uOHkHh = 25
3. i. mka;s m%dka;r ;ru iudk fkdfõii. ;=ka .=Khlsiii.
4. i. 30 - 40ii. 16iii. 30iv.
10 20 30 40 50 60 70 80
iuqÉÑ;ixLHd;h
ialkaOh
12 --
10 --
8 --
6 --
4 --
2 --
0 --
105 110 115 120 125 130 135 140 145 150 155 160
isiqka ixLHdj
,l=Kq
16--
14--
12--
10--
8 --
6 --
4 --
2 --
--0
48 .Ks;h myiqfjka - 5 ixLHdkh
ii.
5. i. m<uq p;=¾:lh = 9f;jk p;=¾:lh = 15wka;Ya p;=¾:l mrdih = 15 - 9 = 6
ii. m<uq p;=¾:lh = 6f;jk p;=¾:lh = 12wka;Ya p;=¾:l mrdih = 12 - 6 = 6
iii. 15 , 16 , 18 , 20 , 23 , 24 , 26m<uq p;=¾:lh = 16f;jk p;=¾:lh = 24wka;Ya p;=¾:l mrdih = 24 - 16 = 8
iv. 2 , 3 , 5 , 7 , 8 , 9 , 10 , 11 , 13 ,
m<uq p;=¾:lfha msysàu = 5.24
10
4
19
m<uq p;=¾:lh = 42
8
2
53
f;jk p;=¾:lfha msysàu = 5.74
30
4
3103
4
19
f;jk p;=¾:lh = 5.102
21
2
1110
wka;Ya p;=¾:l mrdih = 10.5 - 4 = 6.5
6. i. mka;s m%dka;r osk .Kk iuqÉÑ; LKavdxl^lsß ,Sg¾& ixLHd;h ixLHd;h
0 - 2 2 2 (2 , 2)
2-4 6 8 (4 , 8)
4-6 6 14 (6 , 14)
6-8 4 18 (8 , 18)
8-10 2 20 (10 , 20)
iuqÉÑ;ixLHd;h
by< udhsu
49 .Ks;h myiqfjka - 5 ixLHdkh
0
5
10
15
20
25
0 2 4 6 8 10 12
7.
mka;s m%dka;r len,s .Kk iuqÉÑ; jl%h i|yd
lene,a,l os. ixLHd;h LKavdxl
0-10 3 3 (10 , 3)
10-20 6 9 (20,9)
20-30 11 20 (30,20)
30-40 18 38 (40,38)
40-50 23 61 (50,61)
50-60 16 77 (60,77)
60-70 15 92 (70,92)
70-80 8 100 (80,100)
ii.
100
90
80
70
60
50
40
30
20
10
iuqÉÑ;ixLHd;h
by< udhsu
0 10 20 30 40 50 60 70 80 90
50 .Ks;h myiqfjka - 5 ixLHdkh
ii. 45cm
iii.Q3 -Q
1 = 56 - 33
wka;Ya p;=¾:l mrdih = 23
51 .Ks;h myiqfjka - 5 ixLHdkh
7. i.
ii. uOHia:h = 1050
iii. 1300 kg g jvd jeä ialkaOhlska hq;a f.ä f;dard.; hq;=h
40
30
20
10
0 250 500 750 1000 1250 1500 1750
miq iSudj
iuqÉÑ;ixLHd;h