ixlhdkh - nie.lk mathseasy5.pdf · 1' fmr mÍlaik 2' úfkdaockl l%shdldrl ... úih...

.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;% îdudkH 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<snò j cd;sl wOHdmk wdh;kfha .Ks;fomd¾;fïka;=j úiska fidhd n,k ,§' fï iòyd .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<snò j ±kqj;a lr tu mdi,aj, ;;a;ajh ÈhqKq lr,Su .Ks; fomd¾;fïka;=fõwfmalaIdj úh'

fuu jevigyk ms<snò j Èjhsfka mdi,aj, .=rejreka 152 fofkl= mqyqKq lrk ,ow;r" mqyqKqfõ § .=rejreka w;am;a lr.;a foa isiqkag ,nd §u myiq lsÍu iòyd

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


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


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


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


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


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


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


2'0 o;a; ksrEmKh

fmr mrSlaIKh (


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


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;%


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


• 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 '


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

--''


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

.


(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


3'0 o;a; w¾: l:kh ^wuqo;a;&

fmr mrSlaIKh (


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


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'


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


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


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 @ }


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 &


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'


4'0 úúla; o;a; yd ika;;sl o;a;

fmr mrSlaIKh (


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;


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


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


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;


5.0 wiuqys; yd iuQys; o;a; w¾:l:kh

fmr mrSlaIKh (


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


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


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


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


(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


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'


(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


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'


6.0 iuQys; o;a; ksrEmKh yd w¾:l:kh

fmr mrSlaIKh (


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

>


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


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)


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>


(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


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

> > >


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


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'


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


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


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


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


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


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.


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


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


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


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


ii. 45cm

iii.Q3 -Q

1 = 56 - 33

wka;Ya p;=¾:l mrdih = 23


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

ixlhdkh - nie.lk mathseasy5.pdf · 1' fmr mÍlaik 2' úfkdaockl l%shdldrl ... úih...

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