.Ks;h3 fY%aKsh
II fldgi
wOHdmk m%ldYk fomd¾;fïka;=j
ii
m<uqjk uqøKh - 2017
fojk uqøKh - 2018
f;jk uqøKh - 2019
isõjk uqøKh - 2020
ish¨ ysñlï weúß‚
ISBN 978-955-25-0237-8
wOHdmk m%ldYk fomd¾;fïka;=j úiska
rcfha uqøK kS;s.; ixia:dfõ
uqøKh lrjd m%ldYhg m;alrk ,È'
Published by: Educational Publications DepartmentPrinted by: State Printing Corporation, Panaluwa, Padukka.
iii
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
iv
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
v
vi
kshdukh yd wëlaIKh - mS' tka' whs,mafmreu
wOHdmk m%ldYk flduidßia ckrd,a
wOHdmk m%ldYk fomd¾;fïka;=j
fufyhùu - ví,sõ' 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
wdpd¾h Ô' tï' jvkïì - fcHaIaG lÓldpd¾h
ks,aj,d cd;sl wOHdmk úµdmSGh
ú,amsg" wl=/iai
tÉ' tï' fla' fyar;a - fcHaIaG lÓldpd¾h
ydmsá.ï cd;sl wOHdmk úµdmSGh
óß.u
wd¾' tï' fla' o is,ajd - fcHaIaG lÓldpd¾h
m%d:ñl wOHdmk fomd¾;fïka;=j
cd;sl wOHdmk wdh;kh" uyr.u
fla'fla' ysud,s m%sho¾YskS - ksfhdacH flduidßia
wOHdmk m%ldYk fomd¾;fïka;=j
f,aLl uKav,h
fla' ta' iS' iS' uqksodi - úÿy,am;s fiajh
nm$fyda mqjlamsáh W;=r uyd úµd,h
mqjlamsáh
ta' ã' mS' mqIamsld - iyldr úÿy,am;s
nm$ch$fldÜgdj W;=r O¾umd, úµd,h
fydalkaor mdr" mkaksmsáh
vii
ã' ta' ã' is' oikdhl - .=re fiajh
úYdLd úoHd,h
jðr mdr" fld<U 05
ã' fla' ta' tia' hdmd - .=re fiajh
nm$ch wkq,d úoHd,h
kqf.af.dv
tï' {dk,;d - .=re fiajh
wdkkao úoHd,h
fld<U 10
msgljrh yd Ñ;% ks¾udKh
fla' ta' tia' l¿fndaú, - .=re fiajh
nm$.ï$ wkqr uOH uyd úoHd,h
hlal,
isxy, NdId ixialrKh
rxð;a b¨mamsáh - ksfhdacH flduidßia
wOHdmk m%ldYk fomd¾;fïka;=j
mß.Kl wlaIr ixfhdackh
fÊ' tÉ' ufkdaßld m%shx.kS - ksIamdok wxYh
wOHdmk m%ldYk fomd¾;fïka;=j
viii
fm<fmd;a f;aud .S;h
is;a mqrd u,a msmS
w¨;a fmd;a iqj`o §
fk;a mqrd rE uejQ
wfma f,dj t<sh ù'''$$
fmd;a mqrd ±kqu msß
mqxÑ uqj iskd /,s
w¨;a u fmd;aj, t<sh
w¨;a fjhs ieu Èfka
fmd;a wfma fk;a jf.a
fk;a rlsk ú,iSfka
±kqu fok wfma fmd;a
/l.ksuq i;=áfka'''
is;a mqrd u,a msmS'''$$
rpkh ( ir;a l=udr fmf¾rd;kqj ( ufyaIa foksmsáh
ix
mgqk
i;sh mdvu msgq wxlh
.=K lsÍu - 2 6
m%ia;dr - 1 1
mqkÍlaIKh - fojk jdrh 25
ixLHd wvq lsÍu - 3 54
uqo,a - 2 39
nr uekSu 57
iuñ;sh yd rgd 11
ixLHd - 4 42
m%ia;dr - 2 59
mßudj yd Odß;dj - 2 67
fn§u - 2 14
È. uekSu - 2 44
.=K lsÍu - 3 61
mqkÍlaIKh - f;jk jdrh 68
ixLHd - 3 17
ixLHd tl;= lsÍu - 3 49
fn§u - 3 65
mqkÍlaIKh - jir wjidk 77
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
x
iïmdol uKav, igyk
hdj;ald,Sk lrk ,o kj m%d:ñl úIhud,dj y`ÿkajd§u 2016 jif¾ m<uqjk
fY%aKsfhka wdrïN úh' ta wkqj 2017 jir i`oyd 2 fYa%Ksh .Ks;h fm<fmd; ilia úh'
2018 jir i`oyd kj úIh ks¾foaYhg wkql+,j 3 fY%aKsh .Ks;h fm<fmd; ilia lr
we;' .=re ud¾f.damfoaYfhys i`oyka l%shdldrlïj, isiqjd ksr; lrùug i,iajd bka miq
fm<fmdf;ys wNHdij, ksr; úh yels mßÈ fm<fmd; ilia lsÍu iïmdol uKav,fha
m%Odk wruqK úh'
bf.kqï b.ekaùï l%shdj,sh ;=<ska ,nk w;a±lSï jvd;a ;yjqre lr .ekSug;a"
isiqka ;lafiare lsÍug;a fuys we;=<;a wNHdi fhdod .; yels h' .=re ud¾f.damfoaYh
u.ska bÈßm;a lr we;s bf.kqï b.ekaùï l%shdj,sfha wkqms<sfj< wkqj fuys wNHdi
we;=<;a lr we;' fuu fm<fmd; mdi, ;=< § muKla mßyrKh l< hq;= w;r ir, niska
Wmfoia imhd ;sîu;a ksoiqka olajd ;sîu;a ksid orejkag wNHdi lsÍfï § myiqjla jkq
we;' tfia jqj o wjYH wjia:dj, § orejkag iyh ,nd §u .=rejrhdf.a j.lSu fõ'
3 fY%aKsh .Ks;h fm<fmdf;ys m<uq fldgi jevfmd;la f,i l%shdldrlï
tu fmdf;ys u l< yels wdldrhg ilia lr we;' fojk fldgfia ±lafjk fndfyda
l%shdldrlï isiqkag wNHdi fmdf;ys ,shd isÿ l< yel'
<ud ukig ióm jk wdldrfhka Ñ;%" rEm igyka" j.=" m%ia;dr hkdÈh we;=<;a
lr fuu fmd; ilid we;af;a .Ks; úIhh flfrys l=vd l, § u we,aula we;s lrf.k
kj ks¾udKYS,S l=i,;d" .eg¨ úi`§fï l=i,;d" ikaksfõok l=i,;d hkd§ úúO jQ
l=i,;d j¾Okh lr .ksñka .=K keK fnf,ka hq;a Wodr jQ orejl= f.dvke.Sughs' kùk
f,dalhg .e<fmk l%shdYS,S" ks¾udKYS,S" úpCIK kqjKska hq;a orejka rgg odhdo lsÍug
fuu fm<fmd; w;aje,la jkq ±lSu iïmdol uKav,fha n,dfmdfrd;a;=jhs'
iïmdol uKav,h
1
m%ia;dr - 1 m%ia;dr - 1 19 19
iqr;,a i;=kag leu;s <uhska ms<sn`o f;dr;=re my; rEm
igykaj, ±lafõ'
rEmh n,d j.=j iïmQ¾K lruq'
iqr;,a i;d leu;s <uhska
.Kk
ydjd 3mQid
n,a,d
.srjd
ud¿jd
fkdñf,a fnod yeÍu i`oyd h'
2
m%ia;dr - 1 m%ia;dr - 1 19 19
j.=j n,d m%ia;drh iïmQ¾K lruq'
leu;s i;=ka
ydjd mQid n,a,d .srjd ud¿jd
<uhsk
a .K
k
6
5
4
3
2
1
m%ia;drh n,d m%Yakj,g ms<s;=re ,shuq'
^1& .srjdg leu;s <uhska .Kk lSh o@ '''''''''''''''''
^2& mQidg leu;s <uhska .Kk lSh o@ '''''''''''''''''''
^3& .srjdg leu;s <uhska .Kkg jvd mQidg leu;s <uhska .Kk lSh o@ ''''''''''''''''
^4& jeä fokl= leu;s iqr;,a i;d ljqo@ ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^5& <uhska y;r fokl= leu;s i;d ljqo@ ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^6& <uhska iudk .Kkla leu;s i;=ka fofokd ljqo@ ''''''''''''''''''''''''''''''''''''''''''''''''''
3
m%ia;dr - 1 m%ia;dr - 1 19 19
fjf<`oi,l Èkl § úl=Kk ,o m,;=re ms<sn`o f;dr;=re
my; m%ia;drfha ±lafõ'
m,;=re j¾.h
wU meKs fodvï
meKs flduvq
wkakdis .ia,nq
m,;=re .K
k6
5
4
3
2
1
m%ia;drh n,d m%Yakj,g ms<s;=re ,shuq'
^1& wvqfjka u úl=Kk ,o m,;=re j¾.h l=ula o@ ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^2& jeäfhka u úl=Kk ,o m,;=re j¾.h l=ula o@ '''''''''''''''''''''''''''''''''''''''''''''''''''''
^3& .ia,nqj,g jvd meKs flduvq lShla úlsKS ;sfí o@ '''''''''''''''''''''''''''''''''''''''''''''''
^4& iudk m%udKj,ska úl=Kk ,o m,;=re fudkjd o@ '''''''''''''''''''''''''''''''''''''''''''''''''
^5& úl=Kk ,o uq¿ m,;=re .Kk lSh o@ ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
4
m%ia;dr - 1 m%ia;dr - 1 19 19
jdykj,ska meñfKk <uhska 20la isák mka;shl tu tla
tla <uhd úiska ;ud mdi,g meñfKk jdykh ±laùug
rEmhla ne.ska w,jk ,È'
by; f;dr;=re wkqj j.=j mqrjuq'
jdykh <uhska .Kk
mdmeÈh ..............
;%sfrdao r:h ..............
jEka r:h ..............
nia r:h ..............
4
5
m%ia;dr - 1 m%ia;dr - 1 19 19
j.=j wkqj rEm m%ia;drhla w`Èuq'
mdmeÈh ''''''''''''''''''''''''''''''' ''''''''''''''''''''''''''''''' '''''''''''''''''''''''''''''''
<uhsk
a .K
k
jdykh
5
6
7
8
4
3
2
1
^1& mka;sfha jeä u <uhska .Kkla mdi,g meñfKkafka l=uk jdykfhka o@
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^2& mka;sfha wvq u <uhska .Kkla mdi,g meñfKkafka l=uk jdykfhka o@
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^3& mdmeÈfhka meñfKk <uhska .Kk lSh o@ '''''''''''''''''''''''''''''''''''''''''''''''''''
^4& nia r:fhka meñfKk <uhska .Kkg jvd jEka r:fhka meñfKk <uhska
.Kk lSh o@ '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
6
.=K lsÍu - 2 .=K lsÍu - 2 20 20
mfyys .=Kk j.=j n,uq
u;l ;shd .kak ys;uq'
1 « 5 = 5tla jrla my myhs
2 « 5 = 10fojrla my oyhhs
3 « 5 = 15;=ka jrla my myf<djhs
4 « 5 = 20y;r jrla my úiaihs
5 « 5 = 25mia jrla my úismyhs
6 « 5 = 30yh jrla my ;syhs
7 « 5 = 35y;a jrla my ;siamyhs
8 « 5 = 40wg jrla my y;<syhs
9 « 5 = 45kj jrla my y;<sia myhs
10 « 5 = 50oy jrla my mkyhs
7
.=K lsÍu - 2 .=K lsÍu - 2 20 20
mfyys .=Kk j.=j f.dvk.uq'
^1& 1 « 5 = 5
^2& 2 « 5 = ......
^3& 3 « 5 = ......
^4& 4 « 5 = ......
^5& 5 « 5 = ......
^6& 6 « 5 = ......
^7& 7 « 5 = ......
^8& 8 « 5 = ......
^9& 9 « 5 = ......
^10& 10 « 5 = ......
mfyys .=Kk j.=j weiqßka ysia fldgqjg iqÿiq ixLHdj ,shuq'
^1& 3 « = 15
^2& 5 « = 25
^3& « 5 = 30
^4& 1 « 5 =
^5& 7 « 5 =
^6& « 5 = 20
^7& 8 « 5 =
^8& 9 « = 45
^9& 2 « 5 =
^10& « = 50
8
.=K lsÍu - 2 .=K lsÍu - 2 20 20
oyfhys .=Kk j.=j youq
u;l ;shdf.k u lshuq'
1 « 10 = 10tla jrla oyh oyhhs
2 « 10 = 20fojrla oyh úiaihs
3 « 10 = 30;=ka jrla oyh ;syhs
4 « 10 = 40y;r jrla oyh y;<syhs
5 « 10 = 50mia jrla oyh mkyhs
6 « 10 = 60yh jrla oyh yeghs
7 « 10 = 70y;a jrla oyh ye;a;Ejhs
8 « 10 = 80wg jrla oyh wiQjhs
9 « 10 = 90kj jrla oyh wkQjhs
10 « 10 = 100oy jrla oyh ishhhs
9
.=K lsÍu - 2 .=K lsÍu - 2 20 20
oyfhys .=Kk j.=j u;lhg f.k ms<s;=re ,shuq' Yío k.d
lshjuq'
^1& 1 « 10 = 10
^2& 2 « 10 = ......
^3& 3 « 10 = ......
^4& 4 « 10 = ......
^5& 5 « 10 = ......
^6& 6 « 10 = ......
^7& 7 « 10 = ......
^8& 8 « 10 = ......
^9& 9 « 10 = ......
^10& 10 « 10 = ......
mfyys .=Kk j.=j weiqfrka ysia;eka mqrjuq'
............
......
...... ......
...... ......
......
2021
789
10
6
5
435
«5
10
.=K lsÍu - 2 .=K lsÍu - 2 20 20
mfyys .=Kk j.=j iy oyfhys .=Kk j.=j weiqfrka ms<s;=re
,shuq'
2 « 10 ........ ....... « 5^2&
6 « 5^3& ........
^4& ...... « 10 8 « 5........
^7& ...... « 10 ........
1 « 10 2 « .......^1& 10
^5& ....... « .......50...... « ......
^6& 60...... « ......
^8& 80...... « ......
^9& ........ 9 « ......
^10& 100....... « .......
11
iuñ;sh yd rgd iuñ;sh yd rgd 21 21
B<`.g wd hq;= yevh ;s;a br u; w`Èuq' mdg lruq'
''''''''''''''''''''
^1&
''''''''''''''''''''
^2&
''''''''''''''''''''
^5&
''''''''''''''''''''
^4&
'''''''''''''''''''
^3&
'''''''''''''''''''
^6&
'''''''''''''''''''
^7&
'''''''''''''''''''
^8&
12
iuñ;sh yd rgd iuñ;sh yd rgd 21 21
lvodishla folg kjd rEmhla we`o lmd n,uq'
iuñ;s f¾Ldj
iuñ;s f¾Ldfjka fomi iudk fõ'
my; rEmj, iuñ;s f¾Ld w`Èuq'
^1&
^3&
^2&
^4&
13
iuñ;sh yd rgd iuñ;sh yd rgd 21 21
^5& ^6&
^8&^7&
iuñ;sl rEmhla ,efnk mßÈ iïmQ¾K lruq'
^1& ^2&
^4&^3&
14
fn§u - 2 fn§u - 2 22 22
foflka fnouq'
• fodvï f.ä 6la jÜá follg iu iuj fn¥ úg tla
jÜáhl lShla ;sfí o@
yh fn§u fol iudkhs ;=k
6 ÷ 2 = 3
• fodvï f.ä 6la fol ne.ska jÜá lShlg ±ñh yels o@
yh fn§u fol iudkhs ;=k
6 ÷ 2 = 3
foflka fnouq' ms<s;=re ,shuq'
...... WodyrKh (- 6 ÷ 2 = 3
^1& 2 ÷ 2 = .................
^2& 4 ÷ 2 = .................
^3& 8 ÷ 2 = .................
^4& 10 ÷ 2 = .................
^5& 12 ÷ 2 = .................
^6& 14 ÷ 2 = .................
^7& 16 ÷ 2 = .................
^8& 18 ÷ 2 = .................
15
fn§u - 2 fn§u - 2 22 22
24 foflka fnouq'
oyfha tajd tfla tajd
24 fufia
ksrEmKh lruq'
th iudkj f.dvj,a follg fnouq'
oyfha tajd tfla tajd oyfha tajd tfla tajd
tl f.dvl oyfha tajd 1la iy tfla tajd 2la we;'
tkï 12ls'
§¾> fn§fï l%uhg ms<s;=r ,nd .ksuq'
1 22 42 0 4
2
4 0
24 ÷ 2 = 12
16
fn§u - 2 fn§u - 2 22 22
wNHdi fmdf;a ,shd §¾> fn§fï l%uhg úi`ouq'
2 2 2 4 2 2
2 0 2 6 6 2
2 6 2 6 8 2
2 8 2 8 4 2
4 4 2 8 8 2
^1& ^6&
^2& ^7&
^3& ^8&
^4& ^9&
^5& ^10&
^11& kx.S <`. j<¨ 8la we;' tla whl=g j<¨ fol ne.ska lS fokl=g fnod Èh
yels o@
^12& fmÜáhl mekai,a 26la ;sìKs' tla whl=g mekai,a fol ne.ska lS fokl=g
fnÈh yels o@
^13& fmÜáhl .ia,nq f.ä 40la ;snqKs' tajd iudkj fofokl= w;r fn¥ úg tla
whl=g lShla ,eìKs o@
^14& fmd,a f.ä 64la iudkj f.dvj,a follg fn¥ úg tla f.dvl fmd,a f.ä
lShla ;sfí o@
^15& wem,a f.ä 86la fmÜá follg iudkj ouk ,È' tla fmÜáhl we;s wem,a
f.ä .Kk lSh o@
17
ixLHd - 3 ixLHd - 3 23 23
ixLHdj lshjuq' ixLHd kduh ,shuq'
y;aish wg
708
....................
721 675
867
890 942 999
606 510
............................ ............................
............................
............................ ............................ ............................
............................ ............................
............................ ............................
............................
............................ ........................................................
............................ ............................
18
ixLHd - 3 ixLHd - 3 23 23
ysia fldgq mqrjuq'
WodyrKh(- ^1&
647
646
645
..................
.........
606
605604
603602
601
600
.......
724
725
^2&
............
............
............
............
^3&
812
813
..................
..................
..................
..................
..................
19
ixLHd - 3 ixLHd - 3 23 23
791
790
..........
..........
..........
..........
^4&
999
998
^5&
..........
..........
..........
..........
ixLHdxlh iy ixLHd kduh ,shuq'
ixLHdxlh ixLHd kduh
546'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
........... yhish mkia y;r
701'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
........... wgishh
925 '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
........... kjish kjh
619 '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
........... kjish wkQj
20
ixLHd - 3 ixLHd - 3 23 23
fmr iy miq ixLHd ,shuq'
WodyrKh(-
........ ................ 602601600
........572
........
........
815
........
........ 650
........
........ 908........
21
ixLHd - 3 ixLHd - 3 23 23
Wmfoia lshjd ixLHdj ,shuq'
1la jeä
ixLHdj
614 615
738
.........
890
.........
.........
2la jeä
ixLHdj
852 854
799
670
..........
.........
.........
1la wvq
ixLHdj
652 653
927
790
.........
.........
.........
2la wvq
ixLHdj
702700
657
901
.........
.........
.........
.Kl rduqfõ fmkajk ixLHdj fldgqj ;=< ,shuq'
''''''''''
WodyrKh(-
is o t
624''''''''''
^1&
is o t
^2&
is o t
^3&
is o t
^4&
is o t
'''''''''' '''''''''' '''''''''' ''''''''''
22
ixLHd - 3 ixLHd - 3 23 23
wod< b,lalu rjqï lruq'
1&' ishia:dkfha b,lalu 8 2 52&' tlia:dkfha b,lalu 6 4 83&' oyhia:dkfha b,lalu 7 0 9
4&' ishia:dkfha b,lalu 9 6 75&' tlia:dkfha b,lalu 8 9 06&' oyhia:dkfha b,lalu 7 1 6
ixLHdxlh ,shuq'
ixLHd kduh ixLHdxlh
yhishh '''''''''''''''''''
y;aishh '''''''''''''''''''
wgishh '''''''''''''''''''
kjishh '''''''''''''''''''
ixLHdj lshjuq' b,lalfuka ksrEmKh jk w.h ,shuq'
753 472 127700 70 7'''''''''''' '''''''''''' ''''''''''''
7ka ksrEmKh jk w.h ,shuq'
WodyrKh(-
651 156 561'''''''''''' '''''''''''' ''''''''''''
185 826 108'''''''''''' '''''''''''' ''''''''''''
123 361 412'''''''''''' '''''''''''' ''''''''''''
130 503 345'''''''''''' '''''''''''' ''''''''''''
^1& 6ka ksrEmKh jk w.h ,shuq'
^2& 8ka ksrEmKh jk w.h ,shuq'
^4& 1ka ksrEmKh jk w.h ,shuq'
^5& 3ka ksrEmKh jk w.h ,shuq'
235 357 541'''''''''''' '''''''''''' ''''''''''''
^3& 5ka ksrEmKh jk w.h ,shuq'
23
ixLHd - 3 ixLHd - 3 23 23
.Kl rduqfõ fmkajk ixLHdj ysia;efkys ,shuq'
is o t
WodyrKh (-
.Kl rduqfjka ksrEmKh lr we;s ixLHdj fufia ,shuq'
9 0 0 + +2 0 5 = 9 2 5'''''''''''''''
^1&
7 0 0 30 + + = .........
is o t
^2&
6 0 02 00 + + = .........
is o t
24
ixLHd - 3 ixLHd - 3 23 23
^3&
8 0 01 20 + + = .........
is o t
^4&
9 0 05 30 + + = .........
is o t
^5&
is o t
7 0 7 70 + + = .........0
^6&
is o t
5 0 0 + .........0 0+ =
25
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
1 ysia fldgq iïmQ¾K lrkak
138 141 144
198 201 203
265 268
327 331
500
2 .e<fmk fia hd lrkak'
439g 1la jeä
171g 2la jeä
311g 1la wvq
238g 2la wvq
173
236
440
310
26
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
3 ysia;eka mqrjkak'
ixLHd kduh
'''''''''''''''''''''''''''''''''''' tlish oyh
219 ''''''''''''''''''''''''''''''''''''''''''''''''''''
465 ''''''''''''''''''''''''''''''''''''''''''''''''''''
'''''''''''''''''''''''''''''''''''' ;=kaish oy;=k
500 ''''''''''''''''''''''''''''''''''''''''''''''''''''
'''''''''''''''''''''''''''''''''''' ydrish fol
'''''''''''''''''''''''''''''''''''' foish myf<dj
199 ''''''''''''''''''''''''''''''''''''''''''''''''''''
ixLHdxlh
4 fmr iy miq ixLHd ,shkak'
^1& ^2&
^3& ^4&
^5& ^6&
....... 72 ....... ....... 108 .......
....... 280 .......
....... 598 .......
....... 359 .......
....... 441 .......
27
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
5 .Kl rduqfjka fmkajk ixLHdj fldgqj ;=< ,shkak'
^1&
is o t
^2&
is o t
^3&
is o t
'''''''''' '''''''''' ''''''''''
6 ixLHdj úysÿjd ,shkak'
^1& 98 ............ + ............
^2& 124 ............ + ............ + ............
^3& 330 ............ + ............ + ............
^4& 409 ............ + ............ + ............
7 ldisfha ku wl=frka ,shkak'
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^1&
^2&
^3&
^4& '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
28
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
8 uqof,a jákdlug iudk uqo,a fkdaÜgqj hd lruq'
Y%S ,
xld uy n
exl
=fõ w
jirh w
e;sj u
qøK
h l
rk
,§'
29
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
9 fofla ixLHd rgdjla ,efnk fia fldgq r;= mdáka mdg lrkak'
2 3 4 5 6 7 8 9 10 11
12 13 15 16 17 18 19 20 21 22
1
14
10 mfya ixLHd rgdjla ,efnk fia fldgq ks,a mdáka mdg lrkak'
2 3 4 5 6 7 8 9 10 11
12 13 15 16 17 18 19 20 21 22
24 25 26 27 28 29 30 31 32 33
1
14
23
11 oyfha ixLHd rgdjla ,efnk fia fldgq fld< mdáka mdg
lrkak'
2 3 4 5 6 7 8 9 10 11
12 13 15 16 17 18 19 20 21 22
24 25 26 27 28 29 30 31 32 33
34 36 37 38 39 40 41 42 43 44
45 46 47 48 49 50 51 52 53 54
56 57 58 59 60 61 62 63 64 65
67 68 69 70 71 72 73 74 75 76
79 80 81 82 83 84 85 86 87 88
90 91 92 93 94 95 96 97 98 99
1
23
55
66
77
78
89
14
35
30
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
12 my; fldgq ;=< we;s ixLHd weiqßka .eg¨j,g ms<s;=re
imhkak'
24
3253
A B
38
2646
1945
^1& fldgq foflka Tn leu;s ´kE u ixLHd folla ,shd tl;= lrkak'
^2& A fldgqfõ we;s úYd, u ixLHdjg B fldgqfõ we;s úYd, u ixLHdj tl;=
l< úg ,efnk ms<s;=r lSh o@
^3& B fldgqfõ we;s úYd, u ixLHdj iy l=vd u ixLHdj tl;= lr ms<s;=r
,shkak'
^4& A fldgqfõ we;s l=vd u ixLHdj iy úYd, u ixLHdj tl;= lr ms<s;=r
,shkak'
^5& tl;=j 64 ,efnkafka 45g B fldgqfjka l=uk ixLHdj tl;= l< úg o@
13 tl;= lrkak'
+
1
2
6
9
^1&
+
2
4
8
5
^6&
+
4
3
8
8
^2&
+
2
6
4
6
^7&
+
1
6
3
9
^3&
+
4
3
9
2
^8&
+
2
5
1
9
^4&
+
5
3
8
4
^9&
+
3
5
7
4
^5&
+
3
4
8
3
^10&
31
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
14 tl;= lrkak'
^1& 27 + 35 = ...............
^2& 53 + 27 = ...............
^3& 25 + 55 = ...............
^4& 14 + 79 = ...............
^5& 18 + 63 = ...............
15 tl;= lrkak'
25 9
34
38 8
''''' '''''
44 7
24 67 12 79
''''' ''''''''''
17 73
^1& ^2& ^3&
^4& ^5& ^6&
62 19 33 18
''''' ''''' '''''
46 34
^7& ^8& ^9&
32
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
16 wvq lrkak'
5 7
2 2
^1&
9 5
3
^6&
3 4
0
^2&
7 6
4
^7&
6 8
8
^3&
9 9
2
^8&
8 9
1
^4&
4 4
2
^9&
6 0
0
^5&
8 2
1
^10&
-
-
-
-
-
-
-
-
-
-
1 1 4 3
5 6 7 2 6
88 -12
-32
-12
-21
''''''''
''''''''
''''''''
''''''''
^16&
78
-24
-11
-20
''''''''
''''''''
''''''''
''''''''
^17& 56-
^11& 46 - 22 = ..............
^12& 85 - 40 = ..............
^13& 78 - 63 = ..............
^14& 54 - 24 = ..............
^15& 40 - 10 = ..............
33
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
17 fjf<`oi,l wf,ú jQ f;dmams ms<sn`o f;dr;=re my;
j.=fõ ±lafõ'
oji wf,ú jQ
f;dmams .Kk
i`ÿod 8w`.yrejdod 5nodod 3n%yiam;skaod 6isl=rdod 3
by; f;dr;=re weiqßka m%ia;drh iïmQ¾K lrkak'
8
7
6
5
4
3
2
1
wf,ú j
Q f;dm
ams .
Kk
i`ÿod nododw`.yrejdod n%yiam;skaod
i;sfha ojia
isl=rdod
34
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
18 ixLHd .=K l< úg ,efnk ms<s;=r fidhd hd lrkak'
^1&
^2&
^3&
^4&
^5&
^6&
^7&
^8&
^9&
^10&
1 « 5 70
5
60
15
80
25
90
100
45
35
6 « 10
3 « 5
7 « 10
5 « 5
8 « 10
7 « 5
9 « 10
10 « 10
9 « 5
19 .=K lrñka ysia fldgq mqrjkak'
1 «5
«2
«2
''''''''
'''''''' ''''''''
^1&
«2
«5
«2'''''''' ''''''''
^2&''''''''
2
35
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
20 § we;s fvdñfkda m;a n,d ta wkqj iqÿiq mßÈ ysia fldgq
iïmQ¾K lrkak'
702 « 5
607
« 5
4510
« 1
0
702
« 5
157
« 1
0
3510
« 5
908
« 5
209
« 1
0
406
« 1
0
100
4 «
5
109
« 5
503
« 5
6 « 10
40
36
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
21 rgdjg wkqj B<`.g tk rEmh w`Èkak'
^1&
'''''''''''''''''
^2&
'''''''''''''''''
^3&
'''''''''''''''''
^4&
'''''''''''''''''
^5&
'''''''''''''''''
22 iuñ;s ,laIKh we;s rEm mdg lrkak'
37
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
23 fnokak'
^1& 2 1 2 ^2& 2 2 2 ^3& 2 4 2 ^4& 2 6 0 ^5& 2 8 4
24 §¾> fn§fï l%uhg ms<s;=r ,nd .kak'
^1& ñysß iy ßidkd rUqgka f.ä 8la iu iuj fnod .;a;yq kï tla whl=g
,enqKq rUqgka .Kk lSh o@
^2& ksidï iy ufyakaøka fk,a,s f.ä 14la iu fia fnod .;ay' tla whl=g
,enqKq fk,a,s f.ä .Kk lSh o@
^3& fmÜáhl fodvï f.ä 46la we;' tajd iudkj fmÜá follg fn¥ úg tla
fmÜáhl we;s fodvï .Kk lSh o@
^4& fmÜáhl mekai,a 28ls' mekai,a fol ne.ska lS fokl= w;r fnod Èh
yels o@
^5& tla whl=g fol ne.ska j<¨ 64la lS fokl= w;r fnod Èh yels o@
25 ysia fldgq iïmQ¾K lrkak'
^1& 609 610 611
^2& 521 522 525
^3& 869 871
872 873
38
mqkÍlaIKh - fojk jdrh mqkÍlaIKh - fojk jdrh 24 24
26 ixLHd kduh iu`. ixLHdxlh .<mkak'
;=kaish myf<dj 758
tlish úiai 999
oykjh 315
mkaish my 91
y;aish mkia wg 120
wkQ tl 505
kjish wkQkjh 19
^1&
^2&
^3&
^4&
^5&
^6&
^7&
27 úysÿjd ,shkak'
^1& 438 ................ + ................ + ................
^2& 510 ................ + ................ + ................
^3& 505 ................ + ................ + ................
^4& 793 ................ + ................ + ................
^5& 666 ................ + ................ + ................
28 425 hk ixLHdfõ
^1& 4 b,lalfuka ±lafjk w.h ''''''''''''''''''''''''''''''''''''
^2& 2 b,lalfuka ±lafjk w.h ''''''''''''''''''''''''''''''''''''
^3& 5 b,lalfuka ±lafjk w.h ''''''''''''''''''''''''''''''''''''
39
uqo,a - 2 uqo,a - 2 25 25
uqo,a miqïìfha we;s uqo, ;sìh yels wdldr fol ne.ska ,shuq'
WodyrKh(-
remsh,a 2remsh,a 10 remsh,a 10 remsh,hs
remsh,a 23 hs
remsh,a 2 remsh,hsremsh,a 20
^1&
remsh,a 35 hs
^2&
remsh,a 71 hs
40
uqo,a - 2 uqo,a - 2 25 25
b;=re uqo, fidhuq'
WodyrKh (-
'''''''''''''''''''''''''''''''''''
b;=re uqo,
remsh,a 5
ÿka uqo,
remsh,a 15
'''''''''''''''''''''''''''''''''''
b;=re uqo,ÿka uqo,
remsh,a 80
'''''''''''''''''''''''''''''''''''
b;=re uqo,ÿka uqo,
remsh,a 73
'''''''''''''''''''''''''''''''''''
b;=re uqo,ÿka uqo,
remsh,a 70
^1&
^2&
^3&
Y%S ,
xld u
y n
exl=fõ w
jirh w
e;sj u
qøK
h l
rk
,È'
41
uqo,a - 2 uqo,a - 2 25 25
mEkla remsh,a 20 .ï fnda;,hla remsh,a 65
fmd;la remsh,a 22 mdg fmÜáhla remsh,a 42
mekai,la remsh,a 10 lgrhla remsh,a 8
fldaÿjla remsh,a 15 ulkhla remsh,a 12
ñ, o¾Ykh
my; ±lafjk NdKav ñ, § .;a úg f.úh hq;= uqo, fidhuq'
^wNHdi fmdf;ys j.ka;s ,shd úi`okak'&
WodyrKh (- mEkla iy fldaÿjla
mEkl ñ, } remsh,a 20
fldaÿjl ñ, } remsh,a 15
f.úh hq;= uqo, } remsh,a 35
^1& mekai,la iy ulkhla
^2& fmd;la iy lgrhla
^3& .ï fnda;,hla iy mEkla
^4& mdg fmÜáhla iy mEkla
^5& fldaÿjla iy .ï fnda;,hla
42
ixLHd - 4 ixLHd - 4 26 26
úYd, ixLHdj rjqï lruq'
^1& 387, 510 ^4& 217, 705
^2& 628, 435 ^5& 738, 128
^3& 872, 941 ^6& 699, 999
l=vd ixLHdj mdg lruq'
^1& 425497 ^4& 641 651
^2& 925 259 ^5& 763 863
^3& 402 405 ^6& 508 850
l=vd u ixLHdfõ isg úYd, u ixLHdj f;la wkqms<sfj<g
,shuq'
WodyrKh(- 328, 432, 120 120, 328, 432......................
^1& 540, 218, 645 ..........................................................................
^2& 714, 360, 927 ..........................................................................
^3& 809, 656, 377 ..........................................................................
^4& 267, 627, 159 ..........................................................................
^5& 339, 399, 393 ..........................................................................
43
ixLHd - 4 ixLHd - 4 26 26
úYd, u ixLHdfõ isg l=vd u ixLHdj f;la wkqms<sfj<g
,shuq'
WodyrKh(- 562, 225, 340 562, 340, 225......................
^1& 426, 378, 142 ..........................................................................
^2& 762, 596, 634 ..........................................................................
^3& 842, 284, 482 ..........................................................................
^4& 930, 903, 630 ..........................................................................
^5& 666, 657, 678 ..........................................................................
b,lalï ;=fka ixLHd ,shuq' m%Yakj,g ms<s;=re ,shuq'
5" 6" 1 hk b,lalï ;=fkka iEÈh yels ixLHd my; ±lafõ'
165
156
561
516
651
615
l=vd u ixLHdj
156
úYd, u ixLHdj
651
^1& 2" 5" 7 hk b,lalï Ndú; lr iEÈh yels b,lalï ;=fka ixLHd 3la ,shkak'
^2& Tn ,shQ ixLHd w;ßka l=vd u ixLHdj rjqï lrkak'
^3& Tn ,shQ ixLHd w;ßka úYd, u ixLHdj háka brla w`Èkak'
^4& Tn ,shQ ixLHd l=vd u ixLHdfõ isg úYd, u ixLHdj f;la wkqms<sfj<g
,shkak'
44
È. uekSu - 2 È. uekSu - 2 27 27
ógr 1
1 m
ógrh i`oyd jk iïu; ixfla;h m fõ'
ixfla;h fhdod ,shuq'
.ia fol w;r ÿr
ógr 5
ógr 7
ógr 8
ógr 3
ksjfia m<,
nia r:fha È.
fodf¾ Wi
5 m
45
È. uekSu - 2 È. uekSu - 2 27 27
iïu; ixfla;h fhdod ,shuq'
^1& ógr 6 } '''''''''''6 m
^2& ógr 12 } ''''''''''''
^3& ógr 23 } ''''''''''''
^4& ógr 45 } ''''''''''''
^5& ógr 72 } ''''''''''''
^6& ógr 51 } ''''''''''''
^7& ógr 64 } ''''''''''''
^8& ógr 86 } ''''''''''''
^9& ógr 39 } ''''''''''''
^10& ógr 98 } ''''''''''''
jpkfhka ,shuq'
^6& 58 m = .............................................
^7& 62 m = .............................................
^8& 74 m = .............................................
^9& 87 m = .............................................
^10& 96 m= .............................................
^2& 13 m = ..........................................
^3& 25 m = ..........................................
^4& 33 m = ..........................................
^5& 41 m = ..........................................
^1& 3 m = .......................................... ógr ;=k
46
È. uekSu - 2 È. uekSu - 2 27 27
l=udß" wr .ia fol
w;r ÿr ógr lShla
ú;r fõú o@
uu ys;kafka ógr 4la ú;r
wms uek,d n,uq o@
È. fldmuK ±hs is;uq' is;+ È. ksje/È ±hs uek n,uq'
• ia:dk fyda øjH fyda 5la f;dard .kak'
• tl tflys is;+ È. ógrj,ska ,shkak'
• ienE È. uek j.=fõ ,shkak'
ukskq ,nk foh is;+ È.
^wdikak ógrhg&
ienE È.
^wdikak ógrhg&
mka;s ldurfha me;a;l È. 9 m 8 m^1&
^2&
^3&
^4&
^5&
47
È. uekSu - 2 È. uekSu - 2 27 27
ia:dk yd øjH lsysmhl is;+ È. yd ienE È. my; oelafõ'
uksk ,o ia:dk $ øjH is;+ È. ienE È.
^1& fmd,a .i iy wU .i
w;r ÿr10 m 8 m
^2& f.dvke.s,af,a È. 16 m 15 m
^3& mka;s ldurfha m<, 5 m 6 m
^4& fldä lKqfõ Wi 9 m 6 m
^5& fodf¾ Wi 2 m 2 m
fodf¾ Wi
by; j.=j weiqfrka my; m%Yakj,g ms<s;=re ,shuq'
^1& ienE È. is;+ È.g iudk ù we;af;a '''''''''''''''''''''''''''''''''''''''''''''''''''''' uekSfï § h'
^2& ienE È. is;+ È.g jvd jeäfhka ,eî we;af;a ''''''''''''''''''''''''''''''''''''''''''''''''
uekSfï § h'
^3& ienE È. is;+ È.g jvd 1mla wvqfjka ,eî we;af;a ''''''''''''''''''''''''''''''''''''''''''''''
uekSfï § h'
^4& fldä lKqfõ Wfiys ienE È. is;+ È.g jvd ''''''''''''''''''''''''''''''''''''''''''''''''''''''''
wvq fõ'
48
È. uekSu - 2 È. uekSu - 2 27 27
§ we;s rEmigyk weiqfrka j.=j iïmQ¾K lruq'
ógr 10
ógr 4
ógr 5
ógr 8
ógr 12
ixfla;h fhdod ,shuq jpkfhka ,shuq
^1& ksjfia isg f.aÜgqjg ÿr 12 m fõ' ksjfia isg f.aÜgqjg ÿr ógr 12 hs'
^2& f.Ügqfõ È. ''''''''''''''''''''''''''''''''''''''''''''' f.aÜgqfõ È. ógr 4 hs'
^3& ksjfia isg <s`og ÿr 10 m fõ' ksjfia isg <s`og ÿr '''''''''''''''''''''''''''''''
^4& ksjfia Wi ''''''''''''''''''''''''''''''''''''''''''''''''' ksjfia Wi ógr 5 hs'
^5& ksjfia isg fmd,a .ig ÿr 8 m fõ' ksjfia isg fmd,a .ig ÿr '''''''''''''''''''
49
ixLHd tl;= lsÍu - 3 ixLHd tl;= lsÍu - 3 28 28 325g 112la tl;= lruq'
ishfha tajd oyfha
tajd
tfla
tajd
3 2 5
1 1 2+
m<uqj
tfla
tajd
fojkqj
oyfha
tajd
tl;=
lruq
f;jkqj
ishfha
tajd
tl;=
lruq
3 2 5 1 1 2 7+
3 7
3 2 5 1 1 2
4 3 7
3 2 51 1 2
tl;=
lruq
ishfha tajd oyfha
tajd
tfla
tajd
ishfha tajd oyfha
tajd
tfla
tajd
ishfha tajd oyfha
tajd
tfla
tajd
+
1
2
2 3
2 5
^1&
+
4
1
1 0
5 4
^2&
+
3
1
4 8
3 0
^3&
+
1
1
5 3
0 6
^4&
+
1
4
2 7
2 2
^5&
50
ixLHd tl;= lsÍu - 3 ixLHd tl;= lsÍu - 3 28 28
+
3
2
4 1
3 5
^6&
+
4
3
0 2
8 3
^7&
+
5
1
0 0
0 5
^8&
+
7
2
2 4
0 5
^9&
+
9 2 0
7 0
^10&
ks,a fldgqfjka ixLHdjla iy ly fldgqfjka ixLHdjla
ne.ska f.k .Kka myla wNHdi fmdf;ys ,shd tl;= lruq'
224 425 243 331152
400 240123
534 302
WodyrKh(-
2 2 4
1 5 23 7 6
+
436g 217la tl;= lruq'
ishfha tajd oyfha
tajd
tfla
tajd
4 3 6
2 1 7+
51
ixLHd tl;= lsÍu - 3 ixLHd tl;= lsÍu - 3 28 28
ishfha tajd oyfha
tajd
tfla
tajd
ishfha tajd oyfha
tajd
tfla
tajd
ishfha tajd oyfha
tajd
tfla
tajd
1 1m<uqj
tfla
tajd
fojkqj
oyfha
tajd
tl;=
lruq
f;jkqj
ishfha
tajd
tl;=
lruq
4 3 6 2 1 7 3+
6 5 3
4 3 62 1 7
tl;=
lruq
1
5 3
4 3 62 1 7
1
tl;= lruq'
+
+
1
7
2
1
2
5
4
8
4
3
9
7
^1&
^6&
+
+
5
6
1
3
2
1
6
6
1
4
7
4
^2&
^7&
+
+
3
5
3
2
3
2
5
7
4
5
6
4
^3&
^8&
+
+
1
6
2
2
5
4
7
8
3
1
3
3
^4&
^9&
+
+
2
4
2
2
2
8
9
0
3
6
5
^5&
^10&
52
ixLHd tl;= lsÍu - 3 ixLHd tl;= lsÍu - 3 28 28
hy¿jka ;sfokl= <`. we;s uqoaor ms<sn`o f;dr;=re my;
±lafõ'
k§ ;ß`ÿ ksid¾
uf.a <`.
uqoaor 138hs'
uf.a <`.
uqoaor 327hs'
Thdg jvd jeähs'
uf.a <`. uqoaor 445hs' Th
fokakg u jvd uf.a <`. uqoaor
;sfhkjd'
^1& k§ yd ;ß`ÿ <`. we;s uq¿ uqoaor .Kk lSh o@ '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^2& ;ß`ÿ yd ksid¾ <`. we;s uqoaorj, tl;=j lSh o@ ''''''''''''''''''''''''''''''''''''''''''''''''''''''
^3& k§ yd ksid¾ <`. we;s uq¿ uqoaor .Kk lSh o@ ''''''''''''''''''''''''''''''''''''''''''''''''''''''''
Èk ;=kl § hy¿jka ;sfokl= úiska weyss`Èk ,o lcq f.ä
.Kk my; ±lafõ' ta weiqßka my; m%Yakj,g ms<s;=re ,shuq'
i`ÿod w`.yrejdod nodod
wñ`ÿ 13 104 117
rdOd 108 12 105
rð; 28 106 100
^1& i`ÿod iy w`.yrejdod rð; úiska weys`Èk ,o uq¿ lcq f.ä .Kk lSh o@
''''''''''''''''''''''''''''''''''''''''''''''''''''
^2& w`.yrejdod iy nodod wñ`ÿ úiska weys`Èk ,o lcq f.ä .Kfka tl;=j lSh o@
''''''''''''''''''''''''''''''''''''''''''''''''''''
^3& i`ÿod iy nodod rdOd úiska weys`Èk ,o uq¿ lcq f.ä .Kk lSh o@
''''''''''''''''''''''''''''''''''''''''''''''''''''
53
ixLHd tl;= lsÍu - 3 ixLHd tl;= lsÍu - 3 28 28
^4& wñ`ÿ iy rdOd úiska nodod Èk weys`Èk ,o uq¿ lcq f.ä .Kk fidhkak'
''''''''''''''''''''''''''''''''''''''''''''''''''''
^5& wñ`ÿ iy rð; hk fofokd u tl;= ù jeä u lcq m%udKhla weys`o .;a oji
ljod o@ ''''''''''''''''''''''''''''''''''''''''''''''''''''
.eg¨ úi`ouq'
^1& m<uqfjks f.dfâ we;s fmd,a f.ä .Kk 328ls' fofjks f.dfâ we;s fmd,a
f.ä .Kk 349ls' f.dvj,a fofla u we;s fmd,a f.ä .Kk lSh o@
..... .......... .....
m<uqfjks f.dfâ fmd,a f.ä .Kk =
=
=
fofjks f.dfâ fmd,a f.ä .Kk
f.dvj,a fofla u we;s fmd,a f.ä .Kk
^2& l%slÜ lKavdhula m<uqfjks bksfï § ,enQ ,l=Kq .Kk 447ls' fofjks
bksfï § ,enQ ,l=Kq .Kk 327ls' bksï fol wjidkfha § ,enQ uq¿ ,l=Kq
.Kk lSh o@
..... .....
..... .....
=
=
=
..................................................................................................................
..................................................................................................................
..................................................................................................................
^3& pdßldjlg iyNd.s jQ m<uqfjks fY%aKsfha isiqka .Kk 229ls' fofjks
fY%aKsfha isiqka .Kk 315ls' pdßldjg iyNd.s jQ uq¿ isiqka .Kk lSh o@
..... .....
..... .....
=
=
=
..................................................................................................................
..................................................................................................................
..................................................................................................................
54
ixLHd wvq lsÍu - 3 ixLHd wvq lsÍu - 3 29 29
ixLHd fm; weiqfrka wvq lruq'
oyfha
tajd
tfla
tajd
7 45 1
....... .......
oyfha
tajd
tfla
tajd
9 57 0
....... .......
oyfha
tajd
tfla
tajd
6 62 6
....... .......
^4&^3&
oyfha
tajd
tfla
tajd
8 52 3
....... .......
oyfha
tajd
tfla
tajd
9 98 6
....... .......
oyfha
tajd
tfla
tajd
3 32 0
1 3
WodyrKh (-
^1& ^2&
^5&
ixLHd wvq lrñka ysia fldgq mqrjuq'
85 30 20
^1&
96 43 10
^2&
88 34 21
^3&
46
24 10
14
22 12WodyrKh (- 46 − 22 = 24
22 − 12 = 10
24 − 10 = 14
55
ixLHd wvq lsÍu - 3 ixLHd wvq lsÍu - 3 29 29
j.ka;s ,shd ms<s;=re fidhuq'
idud <`. ;snQ rUqgka .Kk =
=
=
5
32
2
11
kx.Sg ÿka rUqgka .Kk
b;=re jQ rUqgka .Kk
^1& idud <`. rUqgka 25la ;sìKs' weh thska 13la kx.Sg ÿkakd h' idud <`. b;=re
jQ rUqgka .Kk lSh o@
r;= iy ks,a mEka .Kk =
=
=
9
6
2
1r;= mEka .Kk
ks,a mEka .Kk
^2& fudú`ÿ <`. r;= iy ks,a mEka 29la ;sfí' r;= mEka .Kk 16la kï ks,a mEka
.Kk lSh o@
mka;sfha isák isiqka .Kk =
=
=
64wo meñKs .Kk
fkdmeñKs .Kk
^3& mka;shl isák isiqka .Kk 46 ls' wo meñK we;af;a 36 ls' fkdmeñKs isiqka
.Kk lSh o@
..... .....flfi,a wejßhl we;s f.ä .Kk =
=
=
tys b§ we;s f.ä .Kk
wuq f.ä .Kk
^4& flfi,a wejßhl f.ä 37la ;sfí' tys b§ we;s f.ä .Kk 14 ls' wuq f.ä
.Kk lSh o@
56
ixLHd wvq lsÍu - 3 ixLHd wvq lsÍu - 3 29 29
wNHdi fmdf;a ,shñka .eg¨ úi`ouq'
^1& u,a,Sf.a jhi wjqreÿ 12 ls' wlaldf.a jhi wjqreÿ 16 ls' wlaldg jvd u,a,S
wjqreÿ lShla jhiska wvq o@
^2& jÜáhl ;sfnk u,a .Kk 55 ls' uq¿ u,a .Kk 96la ùug ;j u,a lShla
jÜáhg oeñh hq;= o@
^3& nihl u.Syq 78la .uka l<y' B<`. kej;=ï fmdf<a § 23la nei .shy' nih
;=< b;=re jQ u.Ska .Kk lSh o@
^4& 76 iy 35 w;r fjki lSh o@
^5& 64" 44g jvd lShlska jeä o@
^6& 79g jvd 42 lShlska wvq o@
57
nr uekSu nr uekSu 30 30
• nr uekSug iïu; tallhla fhdod .ksuq'
• nr uekSfï iïu; tallh lsf,da.a?uh fõ'
• ixfla;h kg fõ'
;rdÈ foi n,d j.=j mqrjuq'
^1& ^2&
^3& ^4&
øjHhnr 1 kggjvd jeä
nr 1 kggjvd wvq
nr 1 kggiudk
iSks f;a fld<
ieuka
wkakdis
58
nr uekSu nr uekSu 30 30
wïud lfâ .syska f.kd nvq u,a, yß u nrhs'
nvq u,a, n,d j.=j mqrjuq'
øjHh nr
iSks lsf,da.a?ï 3 3 kg
mßmamq ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' ''''''''''''''''''''''
'''''''''''''''''''''''''''''''''''''''' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' '''''''''''''''''''''''
'''''''''''''''''''''''''''''''''''''''' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' '''''''''''''''''''''''
''''''''''''''''''''''''''''''''''''''''' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''' '''''''''''''''''''''''
59
m%ia;dr - 2 m%ia;dr - 2 31 31
lKavdhul isák isiqkaf.a Wmka udi ms<sn`oj ,nd.;a
f;dr;=re my; j.=fõ ±lafõ'
udih isiqka .Kk
ckjdß 1ud¾;= 3uehs 6cQks 4fkdjeïn¾ 2foieïn¾ 4
by; f;dr;=re m%ia;drhlska ksrEmKh lruq'
ck
jdß
ud¾
;=
ueh
s
cQk
s
fk
djeï
n¾
foieï
n¾
udih
isiqk
a .K
k
1
2
3
4
5
6
by; m%ia;drh n,d m%Yakj,g ms<s;=re ,shuq'
^1& wvq u isiqka .Kkla bm§ we;s udih l=ula o@ ''''''''''''''''''''''''''''''''''''''''''''''''''
^2& jeä u isiqka .Kkla bm§ we;s udih l=ula o@ ''''''''''''''''''''''''''''''''''''''''''''''''
^3& fkdjeïn¾ udihg jvd jeäfhka cQks udifha § isiqka lS fofkla bm§ ;sfí o@
''''''''''''''''''''''''''''''''''''''''''''''''
^4& fï lKavdhfï isák uq¿ isiqka .Kk lSh o@ ''''''''''''''''''''''''''''''''''''''''''''''
60
m%ia;dr - 2 m%ia;dr - 2 31 31
<uhska lKavdhula jvd;a u leu;s wdydr ms<sn`o /ialr.;a f;dr;=re my; j.=fõ ±lafõ'
wdydrh leu;s <uhska
.Kk
wdmam 7b`Èwdmam 9lsßn;a 4msÜgq 5frdà 8
• by; f;dr;=re rEmsl m%ia;drhlska olajuq'
• m%ia;drh n,d my; m%Yakj,g ms<s;=re ,shuq'
^1& frdàj,g leu;s <uhska .Kk lSh o@
^2& lsßn;aj,g jvd b`Èwdmamj,g lS fofkla leu;s o@
^3& frdà yd msÜgqj,g leu;s uq¿ <uhs .Kk lSh o@
^4& lKavdhfï isák uq¿ <uhs .Kk lSh o@
• l%Svd msáhl fi,a,ï l< <uhska lsysm fokl= j<,a,la
;=<g fnda,h ±uQ jdr .Kk my; ±lafõ'
• ta weiqfrka j.=j iïmQ¾K lruq'
<uhdf.a ku fnda,h ±uQ
jdr .Kk
tl;=j
ikql
rfïIa
is;=,s
ñydrd
• by; f;dr;=re rEmsl m%ia;drhlska olajuq'
• m%ia;drh n,d my; m%Yakj,g ms<s;=re ,shuq'^1& ikql j<,a, ;=<g lS jrla fnda,h ±uqfõ o@
^2& wvq u jdr .Kkla fnda,h j<,a, ;=<g ±uqfõ ljqo@
^3& ish¨ u <uhska j<,a, ;=<g fnda,h ±uQ jdr .Kk lSh o@
^4& rfïIag jvd is;=,s lS jrla jeäfhka fnda,h j<,a, ;=<g oud ;sfí o@
61
.=K lsÍu - 3 .=K lsÍu - 3 32 32
.=K lrkakg bf.k .ksuq'
12 2 «
24
WodyrKh (- 12 « 2 = 24
.=K lr ms<s;=re ,shuq'
^1& 9 « 2 = .......... ^4& 32 « 2 = ..........
^2& 13 « 2 = .......... ^5& 43 « 2 = ..........
^3& 23 « 2 = .......... ^6& 34 « 2 = ..........
foflka .=K lruq'
«
2
2
^1&
«
4 3
2
^6&
«
8
2
^2&
«
3 1
2
^7&
«
1 0
2
^3&
«
9
^8&
«
1 3
2
^4&
«
2 0
2
^9&
«
2 4
9
^5&
«
3 4
2
^10&
2
62
.=K lsÍu - 3 .=K lsÍu - 3 32 32
wNHdi fmdf;ys ,shñka .eg¨ úi`ouq'
8 2«
16
uq¿ nksia .Kk 16 hs
WodyrKh (-
melÜgqjl nksia folla we;' tjeks melÜ 8l we;s uq¿ nksia
.Kk lSh o@
^1& fmÜáhl ulk lE,s fol ne.ska we;' tjeks fmÜá 6l we;s ulk lE,s
.Kk lSh o@
^2& 24 fokl=g fol ne.ska §ug ókd jfâ ñ, § .;a;d h' weh .;a jfâ .Kk
lSh o@
^3& .hdka tla md¾i,hlg fmd;a folla ne.ska ±uqfõ h' tjeks md¾i,a 32l we;s
fmd;a .Kk lSh o@
^4& fmdaÉÑhl ñßia me< 2la ne.ska isgqúh hq;= h' fmdaÉÑ 44l isgqùug wjYH
ñßia me< .Kk lSh o@
^5& wdik 30la we;s nia r:hl tla wdikhl fofokd ne.ska lS fokl=g wiqka.;
yels o@
^6& Trejlska tla .uka jdrhl § fofokl=g hd yels h' .uka jdr 12l §
lS fokl=g .uka l< yels o@
^7& tla whl=g ;,.=<s fol ne.ska úis fokl=g §ug wjYH ;,.=<s .Kk
lSh o@
63
.=K lsÍu - 3 .=K lsÍu - 3 32 32
foflys .=Kk j.=j u;l oehs n,uq' fldgq mqrjd ms<s;=r
iïmQ¾K lruq'
3 « = 6
« 2 = 10
« 2 = 8
« 2 = 20 1 « 2 =
« = 14
« = 4
« = 18
^1&
^7&
^9&
^2&
^3&
^4&
^8&
^5&
^6&
^10&
6 « =
8 « =
mfyka .=K lruq'
^4& 6 « 5 = ......
^5& 10 « 5 = ......
^6& 20 « 5 = ......
^1& 2 « 5 = ......
^2& 7 « 5 = ......
^3& 4 « 5 = ......
mfyka .=K lruq'
«
3
5
^1&
«
5
5
^2&
«
8
5
^3&
«
9
5
^4&
«
1 1
5
^5&
64
.=K lsÍu - 3 .=K lsÍu - 3 32 32
wNHdi fmdf;ys ,shñka .eg¨ úi`ouq'
^1& l%Svdjl § mka;sfha <uhska miafokd ne.ska lKavdhï y;la f,i fjka jQfha kï l%Svdfõ fhÿkq uq¿ <uhska .Kk lSh o@
^2& ìkr" tla fmÜáhlg fpdl,Ü my ne.ska oud fmÜá 30la ieliS h' fmÜá ;sfya we;s uq¿ fpdl,Ü .Kk lSh o@
^3& tla whl=g 5 ne.ska úis tla fokl=g §ug wjYH uq¿ fjr¿ f.ä .Kk lSh o@
^4& ñksfila fodvï f.ä my ne.ska weiqrE fmÜá 41la ñ, § .;af;ah' Tyq ñ,§ .;a uq¿ fodvï f.ä .Kk lSh o@
^5& tla melÜgqjl fnd;a;ï myla we;' tjeks melÜ 50l we;s uq¿ fnd;a;ï .Kk lSh o@
.=K lrñka j.=j iïmQ¾K lruq'
« 1 3 5 2 4 6 9 7 8
2
5
10
65
fn§u - 3 fn§u - 3 33 33
foflka fnouq' b;=re n,uq'
mekai,a 27la lKavdhï follg iudkj fn¥ úg tla lKavdhulg ,efnk
mekai,a .Kk lSh o@ b;=re lSh o@
tla lKavdhulg ,efnk mekai,a .Kk } 1 3
b;=re mekai,a .Kk } 1
§¾> fn§fï l%uhg ms<s;=r ,nd .ksuq'
1 32 72
0
2
7 6 1 b;=re
27 ÷ 2 = 13 b;=re 1
66
fn§u - 3 fn§u - 3 33 33
§¾> fn§fï l%uhg wNHdi fmdf;ys ,shd ms<s;=re fidhuq'
^6& 27 2
^7& 23 2
^8& 49 2
^9& 41 2
^10& 45 2
^1& 17 ÷ 2
^2& 19 ÷ 2
^3& 25 ÷ 2
^4& 29 ÷ 2
^5& 61 ÷ 2
§¾> fn§fï l%uhg wNHdi fmdf;ys ,shd úi`ouq'
^1& álsß <`. fpdl,Ü fnda, 21la ;sìKs' kx.s iu. iudkj fnod .;a úg tla
whl=g lShla ,efí o@ b;=re lSh o@
^2& iukau,S <`. j<¨ 29la ;sfí' tajd *d;sud iu. iudkj fnod .;a úg tla
whl=g lShla ,efí o@ b;=re lSh o@
^3& fjr¿ f.ä 44la we;' fjr¿ f.ä fol ne.ska <uhs lS fokl=g fnÈh
yels o@
^4& l%sIaKd <`. f,dú f.ä 47la we;' f,dú f.ä fol ne.ska hy¿jka lS fokl=g
fnÈh yels o@ b;=re lSh o@
^5& rUqgka f.ä 65la we;' tla whl=g fol ne.ska <uhs lS fokl=g fnÈh yels
o@ b;=re lSh o@
67
mßudj yd Odß;dj - 2 mßudj yd Odß;dj - 2 34 34
my; ±lafjk Ndckj,g w,a,k øj m%udK n,d m%Yakj,g
ms<s;=re ,shuq'
F
5 l
B
4 l
C
2 l
D
1 l
E
2 l
A
3 l
^1& jeä u øj m%udKhla w,a,k Ndckh l=ula o@ ''''''''''''''''''''''''''''''''''''''''''''''''''''''
^2& wvq u øj m%udKhla w,a,k Ndckh l=ula o@ '''''''''''''''''''''''''''''''''''''''''''''''''''''''
^3& iudk øj m%udK w,a,k Ndck fudkjd o@ '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^4& B Ndckh msrùug D Ndckfhka lS jdrhla ±ñh hq;= o@ ''''''''''''''''''''''''''''''''''
^5& 7 l l øj m%udKhla ,nd .; yelafla l=uk Ndckj, øj m%udK tl;=
lsÍfuka o@ ^ms<s;=re yhla we;'&
'''''''''''''''''''''''''''''''''''''''''' " '''''''''''''''''''''''''''''''''''''''''' " ''''''''''''''''''''''''''''''''''''''''''
'''''''''''''''''''''''''''''''''''''''''' " '''''''''''''''''''''''''''''''''''''''''' " ''''''''''''''''''''''''''''''''''''''''''
A, C iy E
68
mqkÍlaIKh - f;jk jdrh mqkÍlaIKh - f;jk jdrh 35 35
1 my; NdKav ñ, § .ekSug ldis yd fkdaÜgqj,ska uqo,a
f.úh yels wdldrhla ,shkak'
remsh,a 21remsh,a 20 + remsh,a 1
WodyrKh (-
^1&
remsh,a 35
'''''''''''''''''''''''''' + '''''''''''''''''''''''''' + ''''''''''''''''''''''''''
^2&
remsh,a 42
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^3&
remsh,a 155
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^4&
remsh,a 220
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^5&
remsh,a 175
'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
69
mqkÍlaIKh - f;jk jdrh mqkÍlaIKh - f;jk jdrh 35 35
2 leghg tl;= jQ uqo, fidhkak'
'''''''''''''''''''''''''''''''''''remsh,a 8
WodyrKh (-
'''''''''''''''''''''''''''''''''''
'''''''''''''''''''''''''''''''''''
''''''''''''''''''''''''''''''''''' '''''''''''''''''''''''''''''''''''
70
mqkÍlaIKh - f;jk jdrh mqkÍlaIKh - f;jk jdrh 35 35
''''''''''''''''''''''''''''''''''' '''''''''''''''''''''''''''''''''''
3 b;=re uqo, fidhkak'
^1&
'''''''''''''''''''''''''''''''''''
b;=re uqo,ÿka uqo,
remsh,a 22
^2&
'''''''''''''''''''''''''''''''''''
b;=re uqo,ÿka uqo,
remsh,a 52
Y%S ,
xld u
y n
exl=fõ w
jirh w
e;sj u
qøK
h l
rk
,È'
71
mqkÍlaIKh - f;jk jdrh mqkÍlaIKh - f;jk jdrh 35 35
4 úYd, ixLHdj mdg lrkak'
^1& 872 256 ^4& 910 920
^2& 698 694 ^5& 708 807
^3& 479 749 ^6& 555 553
l=vd ixLHdj jgd fldgqjla w`Èkak'
^1& 435 , 687 ^4& 288 , 191
^2& 599 , 281 ^5& 689 , 998
^3& 199 , 910 ^6& 338 , 872
6 l=vd u ixLHdfõ isg úYd, u ixLHdj f;la wkqms<sfj<g
,shkak'
^1& 459 , 217 , 300 ..................................................................
^2& 563 , 159 , 605 ..................................................................
^3& 730 , 904 , 420 ..................................................................
^4& 998 , 318 , 908 ..................................................................
^5& 259 , 190 , 295 ..................................................................
^6& 530 , 948 , 250 ..................................................................
72
mqkÍlaIKh - f;jk jdrh mqkÍlaIKh - f;jk jdrh 35 35
7 úYd, u ixLHdfõ isg l=vd u ixLHdj f;la wkqms<sfj<g
,shkak'
^1& 261 , 150 , 456 .......................................................................................
^2& 683 , 773 , 537 .......................................................................................
^3& 347 , 859 , 288 .......................................................................................
^4& 910 , 645 , 938 .......................................................................................
^5& 863 , 868 , 287 .......................................................................................
8 tl;= lrkak'
+
3
3
0 9
8 8
^1&
+
2
5
6 4
2 6
^2&
+
1
3
1 2
1 9
^3&
+
5
3
3 7
5 6
^4&
+
8
1
2 5
4 5
^5&
9 ne¨ka fmdl=f¾ we;s Tn leu;s ´kE u ixLHd folla
ne.ska f.k tl;= lsÍfï .eg¨ myla ,shkak' ms<s;=re
,nd .kak'
135228
549
137446
315
2 2 81 3 7+
^1&WodyrKh (-
73
mqkÍlaIKh - f;jk jdrh mqkÍlaIKh - f;jk jdrh 35 35
10 wvq lrkak'
−
2
1
7
2
^1&
−
9
6
5
4
^6&
−
5
4
6
0
^2&
−
9
8
9
8
^7&
−
6
3
8
3
^3&
−
4
1
0
0
^8&
−
8
5
4
3
^4&
−
7
1
7
6
^9&
−
4
1
8
8
^5&
−
9
3
2
1
^10&
^11& 79 − 28 = ........... ^14& 66 − 53 = ...........
^12& 94 − 42 = ........... ^15& 85 − 70 = ...........
^13& 38 − 17 = ........... ^16& 88 − 34 = ...........
11 yryg iy my<g wvq lr ms<s;=re ,nd .kak'
WodyrKh(-
83 − 21 = 6
42
2
02
−
^1&
54 − 21 =
1 2−
^3&
45 − 12 =
2 0−
^2&
90 − 40 =
3 0−
^4&
78 − 55 =
3−
74
mqkÍlaIKh - f;jk jdrh mqkÍlaIKh - f;jk jdrh 35 35
12 § we;s øjHj, nr weiqfrka ms<s;=re ,shkak'
^1& lsß msá melÜgqfõ nr '''''''''''''''''''''''''''''''''''
^2& inka l=vq melÜgqfõ nr '''''''''''''''''''''''''''''''''''
^3& nr jeä u '''''''''''''''''''''''''''' melÜgqj h' tys nr ''''''''''''''' ls'
^4& nr iudk jkafka '''''''''''''''''''''''''''''''''' iy ''''''''''''''''''''''''''''''''''' hk øjHj, h'
^5& f;a fld< melÜgqj yd lsß msá melÜgqj nE.hlg ±uqfõ kï tys uq¿ nr fldmuK o@
''''''''''''''''''''''''''''''''''
13 tla;rd bvul we;s .ia ms<sn`o f;dr;=re my; ±lafõ'
.ia .Kk.ia j¾.h
10wU
8fmd,a
5lcq
4fldia
• by; f;dr;=re rEmsl m%ia;drhlska ksrEmKh lrkak'• m%ia;drh weiqßka m%Yakj,g ms<s;=re ,shkak'
^1& j;af;a jeäfhka u ;sfnkafka l=uk .ia j¾.h o@
^2& j;af;a we;s .ia j¾. .Kk lSh o@
^3& fldia .iaj,g jvd wU .ia lShla jeä o@
^4& fldia .ia .Kk fuka fo.=Khla we;af;a l=uk .ia j¾.h o@
^5& j;af;a we;s ish¨ u .ia .Kk lSh o@
75
mqkÍlaIKh - f;jk jdrh mqkÍlaIKh - f;jk jdrh 35 35
14 mdi, wi, ud¾.fha hï ld,hla ;=< .uka l< jdyk
ms<sn`o f;dr;=re my; ±lafõ'
jdyk m%udKhjdyk j¾.h
4ld¾
5nia
8h;=re meÈ
6;s%frdao r:
• j.=j n,d rEmsl m%ia;drhla w`Èkak'
• m%ia;drh weiqfrka m%Yakj,g ms<s;=re ,shkak'
^1& wvqfjka u .uka lr we;s jdyk j¾.h l=ula o@
^2& ld¾j,g jvd h;=re meÈ lShla jeäfhka .uka lr ;sfí o@
^3& .uka l< jdyk w;ßka nia .Kkg jvd ld¾ .Kk lShla wvq o@
^4& .uka l< ish¨ u jdyk .Kk lSh o@
15 .eg¨ úi`okak'
^1& l¿,E,af,a ,sùug Èklg yqkq l+re 2la wjYH fõ' Èk mylg wjYH yqkq l+re .Kk lSh o@
^2& fma<shl <uhs 9ls' tjeks fma<s foll isák <uhska .Kk lSh o@
^3& u,a,l fnda, 24 ne.ska ±uQ u¨ foll we;s fnda, .Kk lSh o@
^4& fnda;,hl fgd*S 53ls' tjeks fnda;,a folla mka;shg ,eìKs kï ,enqKq uq¿ fgd*S .Kk lSh o@
^5& b;a;l u,a 5ls' tjeks b;s 41l u,a lShla ;sfí o@
^6& mka;shl <uhs 30 ne.ska isá;s' tjeks mka;s myl isák uq¿ <uhska .Kk lSh o@
76
mqkÍlaIKh - f;jk jdrh mqkÍlaIKh - f;jk jdrh 35 35
16 foflka fnokak'
^1& 6 ÷ 2 = ...............
^2& 8 ÷ 2 = ...............
^3& 10 ÷ 2 = ...............
^4& 18 ÷ 2 = ...............
^5& 11 ÷ 2 = ...............
17 §¾> fn§fï l%uhg foflka fnokak'
^1& ^2&
^5&
^3&
^6&^4&
2 8 2 2 8 2 2 9
2 4 6 2 8 0 2 8 3
18 .eg¨ úi`okak'
^1& fk,a,s f.ä 64la iudkj f.dvj,a follg fjka l< úg tl f.dvl
fk,a,s f.ä lSh o@
^2& W.=/iai f.ä 42la tla whl=g fol ne.ska <uhs lS fokl=g fnod Èh
yels o@
^3& flduvq f.dvl f.ä 87ls' tajd iudkj fmÜá follg fjka lrk ,§' tla
fmÜáhl f.ä lSh o@ lShla b;=re o@
77
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
1 l%Svdjl fhfok p;=r wxl 2 fldgqfõ isg fldgq foflka
folg mksñka bÈßhg hhs kï Tyq md ;nk fldgq r;=
mdáka mdg lrkak'
1 2 3 4 5 6 7 8
9
10111213141516
17
18 19 20 21 22 23 24 25
26
2728293031323334
2 háka bß we`o we;s ixLHdj, ixLHd kduh ;s;a br u;
,shkak'
^1& Yd,djl mqgq 125la ;nd we;' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^2& j;af;a fmd,a me< 350la isgqjd ;sfí' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^3& 3 fY%aKsfha uq¿ isiqka .Kk 183ls' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^4& mdi,g f.kd fm<fmd;a .Kk 408ls' ''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
^5& ieris,a,l we;s úÿ,s nqnq¿ .Kk 526ls' '''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''
78
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
3 ms<s;=re ,shkak'
7
3
6
67 3
ishfha tajd ''''''''''' =oyfha tajd '''''''''' =tfla tajd '''''''''' =
7 0 003
6
WodyrKh (-
^1&
26 9
ishfha tajd ''''''''''' =
oyfha tajd '''''''''' =
tfla tajd '''''''''' =
^2&
53 0
ishfha tajd ''''''''''' =
oyfha tajd '''''''''' =
tfla tajd '''''''''' =
^3&
96 2
ishfha tajd ''''''''''' =
oyfha tajd '''''''''' =
tfla tajd '''''''''' =
^4&
99 9
ishfha tajd ''''''''''' =
oyfha tajd '''''''''' =
tfla tajd '''''''''' =
79
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
4 úysÿjd ,shd we;s ixLHdj fldgqj ;=< ,shkak'
^1& 900 + 20 + 9
^2& 700 + 0 + 3
^3& 600 + 90 + 0
^4& 300 + 30 + 2
^5& 100 + 10 + 5
^6& 500 + 0 + 0
.............
.............
.............
.............
.............
.............
5 ms<s;=re ,shkak'
^1& 324g 1la jeä ixLHdj ''''''''''''''''''
^2& 512g 1la wvq ixLHdj ''''''''''''''''''
^3& 898g 2la jeä ixLHdj ''''''''''''''''''
^4& ishfha tajd 7la oyfha tajd 5la iy tfla tajd 8la we;s ixLHdj ''''''''''''''''''
^5& ishfha tajd 3la oyfha tajd 2la iy tfla tajd 7la we;s ixLHdjg 1la wvq
ixLHdj ''''''''''''''''''
80
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
6 • tla tla rjqu ;=< we;s b,lalïj,ska iEÈh yels b,lalï
;=fka ixLHd 3la ,shkak'
^1&
14 5
^2&
79 2
^3&
38 6
^4&
85 2
• Tn ,shQ ixLHd ;=fkka l=vd u ixLHdj rjqï lrkak'
úYd, u ixLHdj fldgq lrkak'
• Tn iEÿ ixLHd ;=k l=vd u ixLHdfõ isg úYd, u
ixLHdj f;la wkqms<sfj<g ,shkak'
7 ixLHdxlh yd ixLHd kduh ,shkak'
ixLHdxlh ixLHd kduh
25 .........................................................................................
17 .........................................................................................
.......... tlish fod<y
760 .........................................................................................
.......... yhish kjh
300 .........................................................................................
.......... mkaish mkia my
999 .........................................................................................
81
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
8 j.=j iïmQ¾K lrkak'
ishfha tajd oyfha tajd tfla tajd ixLHdj
3 5 2 ............
............. 7 0 570
8 3 1 ............
............. .............. ............. 748
............. .............. 4 154
2 8 ............. 283
9 9 9 ............
............. 0 ............. 608
9 ldâm;a n,d iEfok ixLHdj ,shkak'
1 0 0
3 0 0
7 0 0
2 0 0
9 0 0
1 0
5 0
8 0
2 0
9 0
1
8
3
0
9
=
=
=
=
=
.................
.................
.................
.................
.................
^1&
^2&
^3&
^4&
^5&
82
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
10 ixLHd rgdj y`ÿkdf.k ysia;eka iïmQ¾K lrkak'
^1& 1, 3, 5, 7, ............. , .............
^2& 6, 8, 10, 12, ............. , .............
^3& 5, 10, ............. , ............. , 25, 30
^4& 12, 17, 22, 27, ............. , .............
^5& ............. , ............. , 30, 40, 50, 60
^6& 23, 33, 43, 53, ............. , .............
11 tl;= lrkak'
+
+
1
1
1
1
1
3
8
4
4
5
0
^1&
^6&
+
+
7
6
3
4
7
6
4
2
1
5
9
^2&
^7&
+
+
1
5
3
4
4
1
7
7
3
6
5
7
^3&
^8&
+
+
6
1
2
7
5
2
1
0
0
5
9
0
^4&
^9&
+
+
5
3
6
3
0
0
4
3
5
0
5
4
^5&
^10&
83
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
12 .eg¨ úi`okak'
^1& mdi,l ;=kajk fY%aKsfha <uhs 256la o y;rjk fY%aKsfha <uhs 328la o irU
ixo¾Ykhlg iyNd.s jQy' iyNd.s jQ uq¿ <uhska .Kk lSh o@
^2& tla melÜgqjl mn¿ 108la o ;j;a melÜgqjl mn¿ 141la o we;' md¾i,a
fofla u we;s uq¿ mn¿ .Kk lSh o@
^3& fldä je,l lymdg fldä 205la o iqÿ mdg fldä 303la o we;' jef,a we;s
uq¿ fldä .Kk lSh o@
13 wvq lrkak'
4 8
3 6
^1&
5 5
0
^2&
2 8
1
^3&
8 0
0
^4&
9 8
5
^5&
- - - - -4 1 4 4
14 my; ±lafjkafka m,;=re jÜá y;rl we;s m,;=re m%udK
ms<sn`o úia;rhls'
wU 30 wem,a 65 uex.=ia 52 wkakdis 11
^1& uex.=iaj,g jvd wem,a f.ä lShla jeä o@ '''''''''''''''''''''''''''''''''
^2& wem,aj,g jvd wU f.ä lShla wvq o@ '''''''''''''''''''''''''''''''''
^3& wkakdis yd uex.=ia f.ä .Kk w;r fjki lSh o@ '''''''''''''''''''''''''''''''''
^4& uex.=ia f.ä .Kkg iudk ùug ;j wU f.ä lShla wjYH o @ '''''''''''''''''''''''
84
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
15 Trf,daiq uqyqK;aj, ±lafjk fõ,dj ,shkak'
fõ,dj '''''''''''
12
6
39210
111
5748
12
6
39210
111
5748
fõ,dj '''''''''''
fõ,dj '''''''''''
12
6
39210
111
5748
fõ,dj '''''''''''
12
6
39210
111
5748
16 § we;s fõ,dj Trf,daiq uqyqKf;ys ksrEmKh lrkak'
12
6
39210
111
5748
12
6
39210
111
5748
12
6
39210
111
5748
fõ,dj 3 fõ,dj 8 fõ,dj 11
12
6
39210
111
5748
12
6
39210
111
5748
12
6
39210
111
5748
fõ,dj 1 fõ,dj 10 fõ,dj 4
85
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
17 B;,j,ska ±lafjk ÈYdj Tiafia ixLHd rgd y`ÿkd f.k
;s;a hd lrkak'
18 by; ;s;a hd lsÍfï § ,enqqKq ixLHd rgd ,shkak'
^1& 2, 4, 6, .........................................................................
^2& 5, 10, 15, .....................................................................
^3& 10, 20, 30, ...................................................................
19 j.=j iïmQ¾K lrkak'
4 7 9 5 8 6 2 10 3 1
5 20
10 50
2 2
«
86
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
20 .=K lrkak'
«
8
5
^1&
«
2 3 0 1
2 2 5
^2&
«
5
^3&
«
4
^4&
«
6 0
5
^5&
21 .eg¨ úi`okak'
^1& ;r.hla i`oyd lKavdhulg 12 ne.ska <uhs lKavdhï 2la iyNd.s jQy'
;r.hg iyNd.s jQ uq¿ <uhska .Kk lSh o@
^2& tla mdmeÈhl fofokl=g .uka l< yels h' mdmeÈ 20l lS fokl=g .uka l<
yels o@
^3& tl mdglska fldä 31 ne.ska ks,a" ly" r;=" iqÿ iy fld< mdgj,ska fldä
t,a,d we;' t,a,d we;s uq¿ fldä .Kk lSh o@
^4& fma<shl <uhs oifokd ne.ska fma<s y;la we;' fma<sj, isák uq¿ <uhska
.Kk lSh o@
22 §¾> fn§fï l%uhg ms<s;=r ,nd .kak'
^1&
2 8
^2&
2 2 8
^3&
2 4 6
^4&
2 4 7
^5&
2 8 0
^6&
2 8 9
^7& 24 ÷ 2 ^10& 67 ÷ 2
^8& 43 ÷ 2 ^11& 81 ÷ 2
^9& 66 ÷ 2 ^12& 85 ÷ 2
87
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
23 §¾> fn§fï l%uhg úi`okak'
^1& álsß <`. fjr¿ f.ä 24la we;' tajd tla whl=g 2 ne.ska hy¿jka lS fokl=g
Èh yels o@
^2& l%sIaKd <`. uqoaor 61la we;' rdOd iu. iudkj fnod .;a úg tla whl=g
,efnk uqoaor .Kk lSh o@ uqoaor lShla b;=refõ o@
^3& ;jdkl ñßia me< 68la we;' tla j<lg ñßia me< fol ne.ska isgqùug lemsh
hq;= j<j,a .Kk lSh o@
24 nd.hla w÷re lr we;s rEm háka brla w`Èkak' ld,la
w÷re lr we;s rEm háka ^& ,l=K fhdokak'
^1& ^2& ^3& ^4& ^5&
^6& ^7& ^8& ^9& ^10&
^11& ^12& ^13& ^14&
88
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
25 ógrh i`oyd jk ixfla;h fhdod ,shkak'
.ia fol w;r ÿr
'''''''''''''''''''''''''''''''''
md,fï È.
'''''''''''''''''''''''''''''''''
bKsuf.a Wi
'''''''''''''''''''''''''''''''''
myka lKqfõ Wi
'''''''''''''''''''''''''''''''''
^1&
^2&
^3&
^4&
È. ógr 7hs
È. ógr 10hs
Wi ógr 5hs
Wi ógr 6hs
89
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
26 úúO c, m%udK w,a,k Ndck lSmhla my; ±lafõ' ta
weiqfrka wik ,o m%Yakj,g ms<s;=re ,shkak'
2 l
1 l1 l
3 l8 l
^1& fld< meye;s Ndckfhka c,h ''''''''''''''''''''''''''''''' jrla ±ófuka ks,a Ndckh msf¾'
^2& ly meye;s Ndckh msrùug frdai meye;s Ndckfhka lS jdrhla c,h ±ñh hq;= o@
'''''''''''''''''''''''''''''''''''''''
^3& jeä u c, m%udKhla w,a,kafka ''''''''''''''''''''''''''''''''''' mdg Ndckhg h'
^4& r;= mdg n`ÿfka ;sfnk c,h ly mdg n`ÿk msfrkakg ±uqfõ kï r;= mdg n`ÿfka ;j fldmuK m%udKhla c,h b;=refõ o@
'''''''''''''''''''''''''''''''''''
^5& ks,a mdg Ndckhg b;sß ish¨ u Ndckj, ;sfnk c,h j;a lrk ,È' th iïmQ¾Kfhka msrùug ;j fldmuK c,h m%udKhla ±ñh hq;= o@
''''''''''''''''''''''''''''''''''''''''''''''''
27 >k jia;= foi n,d ms<s;=re ,shkak'
^1& tl iudk me;s yhla we;s >k jia;=j r;= mdáka mdg lrkak'
^2& me;s ish,a, u ;s%fldaKdldr jk >k jia;=j l=ula o@ ''''''''''''''''''''''''''''''''''''''
90
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
28 ñ, o¾Ykh foi n,d ms<s;=re ,shkak'
ñ,
wU f.ähla remsh,a 35
mefmd,a f.ähla remsh,a 65
wem,a f.ähla remsh,a 25
wkakdis f.ähla remsh,a 70
m,;=r
^1& wU f.ähl iy wem,a f.ähl ñf,ys tl;=j lSh o@
^2& wem,a f.ähl iy wkakdis f.ähl ñf,ys tl;=j lSh o@
^3& ñf,ys tl;=j remsh,a 90 jk m,;=re j¾. fol fudkjd o@
^4& mefmd,a f.ähla ñ, § .ekSug remsh,a 50 fkdaÜgqjla iy remsh,a 20
fkdaÜgqjla ÿka iukag b;=re uqo, f,i lShla ,efnkq weoao@
29 .uka ud¾.h foi n,d ms<s;=re ,shkak'
;eme,a
lkaf;darej
ksji
frday,
^1& <uhd bÈßhg f.dia ol=Kq w; me;a;g yeÍ .uka l< úg yuq jkafka l=ula o@
^2& <uhd bÈßhg f.dia jï w; me;a;g yeÍ .uka l< úg yuq jkafka l=ula o@
^3& Tyq ksjig hk úg lS jdrhla ol=Kg yeÍ ;sfí o@
91
mqkÍlaIKh - jir wjidk mqkÍlaIKh - jir wjidk 36 36
30 l%Svd lsÍug f.fkk ,o r;=" ks,a" fld< iy ly mdg fnda, m%udK ms<sn`o f;dr;=re my; rEmsl m%ia;drfhka
±lafõ'
ta weiqfrka my; m%Yakj,g ms<s;=re ,shkak'10
9
8
7
6
5
4
3
2
1
r;= ks,a fld< ly frdai
mdg
fnda,
.K
k
^1& frdai mdg fnda, 10la o f.kú;a ;snqKs' th m%ia;drfha we`o olajkak'
^2& f.fkk ,o ly mdg fnda, .Kk lSh o@
^3& iudk m%udKj,ska f.keú;a we;af;a l=uk mdgj, fnda, o@
^4& jeäfhka u f.keú;a we;af;a l=uk mdg fnda, o@
^5& f.fkk ,o ish¨ u fnda, m%udKh fldmuK o@