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nky;y kyUk; khztu;fSf;fhd fzf;F gapw;rpf; ifNaL
2 kw;Wk; 3-Mk; tFg;G
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t. vz;
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fhy msT
gf;f vz;
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tbtq;fspd; mikg;Gfs;
3 ehl;fs;
3-8
2
tbtq;fSk;> cUtq;fSk; - I Kidg;Gs;spfs;
3 ehl;fs;
9 - 11
3
tbtq;fSk;> cUtq;fSk; - I Nld;fpuhk;> js epug;gpfs;> fd cUtq;fs;
7 ehl;fs;
12 - 21
4
vz;fs;: vz;fs; mwpjy;
5 ehl;fs;
22 - 30
5
vz;fs;: vz; cU> vz; ngah; vOJk; Kiw (1 - 100 tiu)
5 ehl;fs;
31 - 34
6
vz;fs;: Kd;dp> njhlhp> ,ilg;gl;l vz;> nghpa vz;> rpwpa vz;
7 ehl;fs;
35 - 46
7
vz;fs;: xw;iw vz;> ,ul;il vz;> VW thpir> ,wq;F thpir
3 ehl;fs;
47 - 52
8
vz;fs;: ,lkjpg;G
3 ehl;fs;
53 - 56
9
$l;ly;
10 ehl;fs;
57 - 68
10
fopj;jy;
10 ehl;fs;
69 - 77
2
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2 &3 M« tF¥ò tot§fëš mik¥òfŸ neh¡f« tot§fis g‰¿ m¿jš 1. t£l« 2. K¡nfhz« 3. rJu« 4. br›tf« f‰Ã¤jš Ñœf©l bghU£fis it¤J MÁça® khzt®fS¡F tot§fis f‰W¤ jUjš 1. t£l«
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gªJ, tisaš, %ghŒ ehza«, nfu«ngh®L Coin
2. K¡nfhz«
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rnkhrh
3. rJu«
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gæ‰Á neh£L, rJukhd #‹dš, Û£l® gh¡°
4. br›tf«
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fU«gyif, fjÎ, gh¡°
3
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brŒKiw 1 1. bghU¤Jf
4
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brŒKiw¥ gæ‰Á 2 1..rçahd 1..rçahd éilia¤ nj®ªbjL¤J vGJf -‹ cUt«
-----------------------
-‹ cUt«
-----------------------
-‹ cUt«
-‹ cUt«
-----------------------
-----------------------
2..òŸëfis Ïiz¤jš k‰W« cUt§fis KGik¥gL¤Jjš
5
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6
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brŒKiw¥ gæ‰Á 3 1. ÑGŸs tot§fis ghÁfis it¤J x£Lf
2.tot§fis 2.tot§fis ntWgL¤Â t©z§fŸ Ô£Ljš
3.òŸëfis 3.òŸëfis Ïiz¤J cUt§fis tiuf
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brŒKiw¥ gæ‰Ágæ‰Á-4 1..tF¥giwæš 1..tF¥giwæš cŸs bghUŸfëš cUt§fis¡ TWf 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 10)
fU«gyif r‹dš fofhu« j£L ò¤jf« ä‹éÁ¿ mykhç f‰wš bg£o Vâ¥go FG m£il
-
br›tf«
2. édho édh nfŸé 1. thd¤Âš Ïuéš Ú fhQ« KG ãyhé‹ tot« v‹d ? 2. bg©fŸ ifæš mâÍ« tisaè‹ tot« ................................... 3. Ú filæš ä£lhŒ th§f¡ bfhL¡F« ehza¤Â‹ tot« v‹d? 4.
Ï¡fofhu¤Â‹ tot« ..............................
5. Ú ÂdK« gh®¡F« bjhiy¡fh£Á¥ bg£oæ‹ tot« v‹d ? 6. Ú éU«Ã c©Q« rnkhrhé‹ tot« ............................. 7. c‹ jªij ga‹gL¤J« if bjhiyngÁ tot« .................... 8. %ghŒ neh£o‹ tot« v‹d ? 9. c‹ Å£L¡ fjé‹ tot« ? 10. buh£oæ‹ tot§fis¡ TWf. 11. Ú ÂdK« gh®¡F« bjhiy¡fh£Á¥ bg£oæ‹ tot« v‹d?
tbtq;fSk;> cUtq;fSk; - I 8
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Nehf;fk; tbtq;fSk; cUtq;fSk; mbg;gil cUtq;fisg; gw;wp epidT $u;jy;. fw;gpf;Fk; Kiw : rJuk;> nrt;tfk;> Kf;Nfhzq;fspd; gf;fq;fs;> Kidg;Gs;spfs; gw;wpf; $Wjy;> tl;lj;jpw;F gf;fk; kw;Wk; Kidg; Gs;spfs; fpilahJ vd;gijg; Gupa itj;jy;.
nray;ghL : 1 fzpj cgfuzg; ngl;bapy; cs;s rJuk;> nrt;tfk;> Kf;Nfhzk;> tl;lk; tbt nghUs;fisf; nfhLj;J njhl;Lzu nra;jy;. mjd; %yk; rJuk;> nrt;tfk;> Kf;Nfhzk; Mfpatw;wpw;F Kidg;Gs;spfs; cs;sJ vdTk;> tl;lj;jpw;F Kidg;Gs;sp ,y;iy vdTk; fw;Wj; jUjy; Ntz;Lk;. tFg;giw R+oypy; cs;s rJu> nrt;tf> Kf;Nfhz> tl;l tbtpyhd nghUl;fspd; ngau;fisf; $wp fw;gpj;jy; (fUk;gyif> Nkir> Nehl;Gf;> Vzpg;gbfs;> fbfhuk;> FO ml;ilfs;> fk;gpg; ge;jy;). gpd;G Rw;Wg;Gwr; R+oypy; tl;l> rJu> nrt;tf> Kf;Nfhz tbtq;fisf; fhl;b mjd; ngaiu Nfl;f Ntz;Lk;.
nray;ghL : 2 (cUtq;fis cUthf;Fjy;) Fr;rpfs;> nghl;Lfs;> ghrpkzpfs;> rpd;d ,iyfs;... Nghd;w nghUl;fis xl;b rJuk;> nrt;tfk;> Kf;Nfhzk;> tl;lk; Nghd;w cUtq;fis cUthf;f KbAk;. khztu;fisf; FOthf gpupj;J tl;lk;> rJuk;> nrt;tfk;> Kf;Nfhzk; vd;W Mrpupau; $wp khztu;fs; me;j tbtj;ij cUthf;f nra;J cUtq;fisg; gw;wp fw;Wj; jUjy;.
9
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nray;ghL : 3 (nghUl;fis Nrfupj;J tUjy;) khztu;fis tl;lk;> rJuk;> nrt;tfk;> Kf;Nfhzk; Nghd;w tbtj;jpy; cs;s nghUl;fis Nrfupj;J tur; nra;jy;.
10
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gapw;rpj; jhs; - 5 1. fPof ; f ; z;ltw;Ws; rJuj;ij tl;lkpLf.
a)
b)
c)
2. fPof ; f ; z;ltw;Ws; Kf;Nfhzj;ij tl;lkpLf. a)
b)
c)
3. fPof ; f ; z;ltw;Ws; nrt;tfj;ij tl;lkpLf.
a)
b)
c)
4. nrt;tfj;jpw;F ------------------------------- gf;fq;fs; cs;sd. 5.
- ---------------------------- gf;fq;fs; cs;sd.
6.
- ---------------------------- Kidg;Gs;spfs; cs;sJ.
7. tl;lj;jpw;F ------------------------- Kidg;Gs;spfs;. a) 3
b) 4
c) 0
8. nrt;tfj;jpwf;F ---------------------- Kidg;Gs;spfs; cs;sJ. 9.
- -------------------------------- gf;fq;fs; cs;sJ.
10.
- -------------------------------- Kidg;Gs;spfs; cs;sJ.
11
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Nld;fpuhk; puhk Nehf;fk; Nld;fpuhk; vd;gJ ‘rPdg; Gjpu;”. ,jpy; Jz;Lfisg; gad;gLj;jp tpyq;Ffs;> kdpju;fs; Nghd;w khjpupfis cUthf;Fjy;. nray;ghL : 1 5 Jz;Lfs; nfhz;l Nld;fpuhk; cw;W Nehf;fp nra;jy;.
nray;ghL : 2 tbtq;fis cUthf;f nra;jy;. Nld;fpuhk; 5 Jz;Lfisf; nfhz;L Njitahd (nghUj;jkhd) Jz;Lfisg; gad;gLj;jp fPo;ff ; z;l cUtq;fis cUthf;f nra;jy;.
12
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nray;ghL : 3 ,uz;L Kf;Nfhzq;fisg; gad;gLj;jp gpd;tUk; tbtj;ij nra;J ghu;ff ; nra;jy;.
5 Jz;LfisAk; gad;gLj;jp gpd;tUk; tbtj;ij nra;J fhl;Ljy;.
gapw;rpj; jhs; - 6 Nld; fpuhk; tbtq;fisf; nfhz;L fPof ; f ; z;l tbtq;fis nra;J ghu;. 1. 5 Kf;Nfhzq;fisAk; gad;gLj;jp
2 4
1 3
2. 1> 2> 3 kw;Wk; 5 Jz;Lfisg; gad;gLj;jp
3
1
2
5
13
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jsepug;gpfs; nray;ghL : 1 tbtq;fs; ,ilntsp ,y;yhkYk; xd;wpd; Nky; xd;W gbahkYk; jsj;jpid epug;Gk; NghJ jsepug;gpfs; fpilf;fpd;wd vd Gupa itj;jy;. Tiles, BuilidngNghd;wtw;iwg; gad;gLj;jp js epug;gpfisg; Gupa itj;jy;.
gapw;rpj; jhs; -7 1. fPof ; f ; z;l cUtq;fisg; gad;gLj;jp js epug;gpfis cUthf;Ff. 1.
2.
3.
14
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xU
fd cUtq;fs; nray;ghL : 1 fd rJuk;> cUis> $k;G> fdr; nrt;tfk;> Nfhsk; Nghd;w tbtq;fspy; cs;s nghUl;fisf; nfhLj;J tpsf;Fjy;. v.fh : fdr; nrt;tfk;
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Gj;jfk;
fdr; rJuk;
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Chalk Pieace ngl;b
cUis
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Foha;
$k;G
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Ice Cream
Nfhsk;
-
G+kp cUz;il> ge;J.
,tw;iwf; fhl;b khztu;fSf;Fg; Gupa itj;jy;. ePsk;> mfyk;> cauk; cz;L vd khztu;fSf;F tpsf;Fjy;.
nray;ghL : 2 fd cUtq;fs; cila nghUl;fis Nrfupj;J tur; nrhy;yp tpsf;Fjy;. fzpj
cgfuzg;
ngl;bapy;
cs;s
fd
cUtq;fis
khztu;fsplk;
nfhLj;J
khztu;fs; njhl;Lzu itj;jy;. NkYk; cauk;> mfyk;> ePsk; Mfpatw;iw tpsf;Fjy;.
15
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gapw;rpj; jhs; - 7 1. fPof ; f ; z;l Gs;spfisf; nfhz;L fd nrt;tfk; cUthf;Ff.
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. . . . . .
2. fd cUtq;fis KOikahf;Ff.
16
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gapw;rpj; jhs; - 8 1. fPo;ff ; hZk; cUtq;fspd; tbtq;fis fz;Lgpb:
1.
2.
3.
4.
5.
17
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2. tiuf :
1. fdrJuk;
-
2. fdnrt;tfk;
-
3. cUis
-
4. $k;G
-
5. Nfhsk;
-
18
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gapw;rpj; jhs; - 9 1..md;whlk; tho;tpy; gad;gLj;Jk; nghUl;fis tbtq;fSld; nghUj;Jf.
1. fUk;gyif
-
2. FO ml;il
-
3. Njhir
-
4. Fbir tPlb ; d; Kd;gf;fj; Njhw;wk;
-
5. kj;jsk;
-
19
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gapw;rpj; jhs; -10 1..Kidg; Gs;spfis vz;zp vOJf. 1. ----------------------------
-
2. ----------------------------
-
3. -----------------------------
-
4. -----------------------------
-
5. -------------------------------
-
20
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gapw;rpj; jhs; -11; 11
tbtq;fspd; ngaUf;Nfw;w nghUisf; fz;Lgpb:
1. $k;G
-
2. fdr;rJuk;
-
3. fdr;nrt;tfk;
-
4. Nfhsk;
-
21
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v©fŸ neh¡f« 1. v©fis m¿jš (x‹W Kjš g¤J tiu) 2. v© bga® vGJjš 3. v© cU vGJjš 4. bgça, Á¿a v© m¿jš 5. ÏlkÂ¥ò TWjš 6. VWtçir, Ïw§Ftçir f‰Ã¤jš 1. v©f£ilfis¡ bfh©L v©fis v©Q« Kiwia¡ f‰Ã¤jš (1 Kjš 10 tiu) 2. K¤J, fš, F¢Á ngh‹w bghUŸfis¡ bfhL¤J v©Q« Kiwia¡ f‰Ã¤J v©fis vGJjš (1 Kjš 100 tiu) 3. c¥ò¡ fh»j v©fis¥ ga‹gL¤Â khzt®fS¡F v© cU¡fis¡ f‰Ã¤jš (1 Kjš 9 tiu) 4. %ghŒ neh£L¡fis it¤J bgçaJ Á¿aJ kÂ¥Ãid m¿jš 5. Mâ kâ¢r£l« ga‹gL¤Â ÏlkÂ¥ò khzt®fS¡F és¡Fjš 6. khzt®fë‹ cau¥go tçir¥gL¤Â mj‹_y« VWtçir Ïw§Ftçir f‰Ã¤jš nray;ghL : 1 (Xupyf;f vz;fs;) tFg;giwapy; cs;s nghUl;fs;> Gspaq;nfhl;ilfs;> fw;fs;> Fr;rpfs;> ghrp kzpfs;> nghl;Lfs;> cwpQ;rp Foha;fs; Mfpatw;iwg; gad;gLj;jp 0 - 9 tiu vz;fisAk;> vz;zpf;ifiaAk; fw;Wj; jUjy; Ntz;Lk;. cg;Gf; fhfpj vz;Zuit gad;gLj;jp 0-9 tiu cs;s vz;fspd; tbtk; kw;Wk; vOJk; Kiwia fw;Wj; jUjy; Ntz;Lk;. fzpj cgfuzg; ngl;bapy; cs;s vz; fl;ilfisg; gad;gLj;jp 0-9 tiu cs;s vz;fspd; vz;kjpg;igf; fw;Wj; jUjy; Ntz;Lk;. vz; ml;ilfs;> gl ml;ilfs; jahu; nra;J vz; ngau; (0-9 tiu) vOjpg; gof itj;jy; Ntz;Lk;.
22
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brŒKiw -1: bfhL¡f¥g£l bfhL¡f¥g£l v©fS¡F t©z« Ô£Lf
23
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brŒKiw -2 : òŸëfis Ïiz¤J v©fŸ vGJjš
24
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brŒKiw -3 : v©fŸ vGJ« Kiw (0 Kjš 20 v©fŸ) neh¡f« :0 Kjš 20 tiuÍŸs v©fŸ vGJ« Kiwæid m¿ªJ bfhŸSjš
éisÎ: 1. v©fŸ vGJ« Kiwæid m¿jš 2. v©fë‹ tot¤ij m¿ªJ bfhŸSjš 3. v©fis vªj Ïl¤Âš bjhl§Fjš k‰W« Ko¤jš m¿ªJ bfhŸSjš
25
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nray;ghL : 2 (
gj;Jfs;
xd;Wfs;
2
4
vz; ngau; vOj;gl;l ml;ilfs; %ykhf vz; ngau; vOj nra;jy; Ntz;Lk;. 9 I mLj;J 10> 19I mLj;J 20> 29 I mLj;J 30 vd;W vz;Ztjpy; khztu;fSf;F ,lu;ghL ,Uf;Fk;. ,jw;F njhlu; gapw;rpfs; nfhLf;f Ntz;Lk;. gj;J gj;jhfj; jhtp vz;fisf; $wr; nra;jy; Ntz;Lk;.
26
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gapw;rpj; jhs; - 1
1. bghU¤Jf.
2.v©f£ilfis 2.v©f£ilfis ga‹gL¤Â bfhL¡f¥g£l v©â‹ kÂ¥ig¡ TWf 1) 9, 2) 7, 3) 3, 4) 5, 5) 1
27
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nray;ghL : 3 (%d;wpyf;f vz;fs;) 100 tupir nfhz;l kzpr; ruq;fisg; gad;gLj;jp 101 Kjy; 999 tiu khztu;fSf;Ff; fw;Wj; jUjy; Ntz;Lk;. vz;ZU> vz; kjpg;G> vz; ngau;> ,lkjpg;G Nghd;wtw;iw fzpj cgfuzg; ngl;bapy; jrk vz; Kiw cgfuzj;ijg; gad;gLj;jp fw;Wj; jUjy; Ntz;Lk;. 1 Kjy; 9 tiu vOjg;gl;l vz; ml;ilfs;> 10> 20> 30> ......> 90 tiu vOjg;gl;l vz; ml;ilfs;> 100> 200> 300> ......> 900 tiu vOjg;gl;l vz; ml;ilfs;> ghrp kzp Nfhu;itfs; Mfpatw;iwg; gad;gLj;jp fw;Wj; jUjy; Ntz;Lk;.
100
20
100 20 6 -----126
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gapw;rpj; jhs; - 2
1. kâ¢r£l¤Âš cŸs kâfS¡nf‰g v©QU¡fis vGJf.
29
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gapw;rpj; jhs; - 3
1. v©fS¡nf‰g kâfis kâ¢r£l¤Âš tiuf.
30
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brŒKiw - 4
1 Kjš 100 tiu v©fŸ vG¤J¡fëš 1
x‹W
26
ÏUg¤J MW
51
I«g¤J x‹W
76
vGg¤J MW
2
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52
I«g¤J Ïu©L
77
vGg¤J VG
3
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53
I«g¤J _‹W
78
vGg¤J v£L
4
eh‹F
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I«g¤J eh‹F
79
vGg¤J x‹gJ
5
IªJ
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K¥gJ
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I«g¤J IªJ
80
v©gJ
6
MW
31
K¥g¤J x‹W
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I«g¤J MW
81
v©g¤J x‹W
7
VG
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K¥g¤J Ïu©L
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I«g¤J VG
82
v©g¤J Ïu©L
8
v£L
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K¥g¤J _‹W
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I«g¤J v£L
83
v©g¤J _‹W
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x‹gJ
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K¥g¤J eh‹F
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I«g¤J x‹gJ
84
v©g¤J eh‹F
10 g¤J
35
K¥g¤J IªJ
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mWgJ
85
v©g¤J IªJ
11 gÂbdh‹W
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K¥g¤J MW
61
86
v©g¤J MW
12 gåbu©L
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K¥g¤J VG
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mWg¤J x‹W mWg¤J Ïu©L
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13 gÂ_‹W
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K¥g¤J v£L
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mWg¤J _‹W
88
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14 gÂdh‹F
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K¥g¤J x‹gJ
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mWg¤J eh‹F
89
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15 gÂidªJ
40
eh‰gJ
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mWg¤J IªJ
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eh‰g¤J x‹W
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mWg¤J MW
17 gÂndG
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mWg¤J VG
18 gÂbd£L
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eh‰g¤J _‹W
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mWg¤J v£L
19 g¤bjh‹gJ
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20 ÏUgJ
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eh‰g¤J IªJ
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vGgJ
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eh‰g¤J MW
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vGg¤J x‹W
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vGg¤J IªJ
bjh©ûW bjh©û‰W 91 x‹W bjh©û‰W 92 Ïu©L bjh©û‰W 93 _‹W bjh©û‰W 94 eh‹F bjh©û‰W 95 IªJ bjh©û‰W 96 MW bjh©û‰W 97 VG bjh©û‰W 98 v£L bjh©û‰W 99 x‹gJ 100 üW 90
31
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brŒKiwbrŒKiw-5 : v© bga® vGJf (1-100) v©QU 7 37 66 42 50 81
v©bga® VG K¥g¤J VG mWg¤J MW eh‰g¤J Ïu©L I«gJ v©g¤J x‹W
brŒKiw–6 brŒKiw 6 : v© cUéš vGJf VG
......7.....
x‹gJ
.....9......
gÂbdh‹W ....11....... g‹_‹W ..13......... gÂidªJ
...15........
g¤bjh‹gJ ....19.......
brŒKiw -7 v© cU, v© bga® v©â vGJf. 32
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gapw;rpj; jhs; - 4 1.v© 1.v© bga® vGJf. 33
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8
............................
14
......................................
10
............................
16
......................................
12
..............................
18
.....................................
16
..............................
69
.....................................
27
..............................
76
.....................................
35
..............................
80
.....................................
59
..............................
93
.....................................
61
..............................
99
.....................................
2.v©QUéš 2.v©QUéš vGJf gÂidªJ
mWgJ
g¤bjh‹gJ
vGg¤J VG
ÏUg¤J IªJ
v©g¤J x‹gJ
eh‰g¤J v£L
bjh©û‰W IªJ
I«g¤J _‹W
üW
34
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brŒKiwbrŒKiw-7 °Ã‹oš gyifia¥ ga‹gL¤ ga‹gL¤Â khzt®fis 0‹ kÂ¥ig m¿a it¡fΫ. (fâj cgfuz¥ bg£oæš cŸsJ) brŒKiwbrŒKiw-8 v©fë‹ K‹å¤ bjhlç Ïil¥g£l v©fis vGJf.
mL¤J tU« v©iz vGJf
Kªija v©iz vGJf
35
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Ïil¥g£l v©iz vGJf.
Kªija, mL¤j Ïil¥g£l v©fis vGJf.
36
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vz;fis xg;gpLjy; brŒKiw brŒK iwiw-9 : ÏU khzt®fël« ghÁ kâfis¡ bfhL¤J nfh®¡f¢ brŒjš. mš mÂfkhŒ nfh®¤j khzéæ‹ ghÁkâfis v©â bgça v© m¿jš.
Fiwthf nfh®¤j
ghÁkâfŸ Á¿a v© vd m¿jš brŒKiw -10 bgça v© , Á¿a v© f‰wš cgfuz¥ bg£oæš cŸs ghÁ kâ¡nfh®itia it¤J 8,3 v©fëš bgça v©, Á¿a v© vGj it¤jš k‰W« 2, 7 v©fëš ghÁkâ¡ nfh®itæš bgça vz Á¿a v© vGj it¤jš brŒKiw– brŒKiw 11 bgça v©iz t£läLf.
brŒKiwbrŒKiw-12 Á¿a v©iz t£läLf.
37
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nray;ghL : 13 kpl;lha;fisg; gad;gLj;jp ngupa vz;> rpwpa vz;izg; Gupa itj;jy; Ntz;Lk;. ,uz;L khztu;fsplk; kpl;lha;fs; nfhLj;J ahuplk; mjpfk; cs;sJ vd xg;gpl;L $wr; nra;jy; Ntz;Lk;. ,jd; %yk; vz;fis xg;gpl;L ngupa vz; vJ? rpwpa vz; vJ? vd $wr; nra;a KbAk;. nray;ghL : 14 fzpj cgfuzg; ngl;bapy; cs;s ghrp kzpfisg; gad;gLj;jp ngupa vz;> rpwpa vz; xg;gpl itf;fyhk;. ,uz;L vz;fs; nfhLj;J me;j vz;fSf;F ghrp kzpfis mLf;fp vjpy; mjpf ghrp kzpfs; cs;sJ vdf; Nfl;L ngupa vz;> rpwpa vz;izg; Gupa itf;fyhk;.
,J Nghd;W %d;wpyf;f vz;fis xg;gpl itj;jy;.
6
>
4
38
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nray;ghL : 15 547> 348 xg;gpLf. 547y; ghrp kzp cjtpAld; Kjypy; 547y; xd;Wfs; ,lj;jpy; 7 ghrp kzpfisAk;> gj;Jfs; ,lj;jpy; 4 (10 kzpf; Nfhu;itAk;)> E}Wfs; ,lj;jpy; 5 (100 kzpf; Nfhu;itAk;) itf;fr; nra;jy; Ntz;Lk;.
(100 kzpf; Nfhu;it)
(10 kzpf; Nfhu;it)
500
(cjpup kzpfs;)
40
8
=
348
=
348
,Nj Nghd;W 348 vd;w vz;iz itf;fr; nra;jy; Ntz;Lk;.
300
40
8
vjpy; mjpf ghrpkzpf; Nfhu;it cs;sNjh me;j vz; ngupa vz; vdTk;> Fiwthf cs;s vz; rpwpa vz; vdTk; $wr; nra;jy; Ntz;Lk;.
nray;ghL : 16 Mzp kzpr; rl;lj;ijg; gad;gLj;jp vz;fis cUthf;fp xg;gpl itj;jy; Ntz;Lk;. ,jd; %yk; ngupa vz;> rpwpa vz; njspthf Gupa itf;fyhk;.
> E}
g
x
E}
547
g
x
348
39
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neh¡f«: 1. bgçaJ, Á¿aJ F¿pLfis m¿jš
gæ‰Á¤jhŸ –5 5 bfhL¡f¥g£LŸs gl¤Âš ÏUªJ bgçaJ , Á¿aJ (>, < ) f£l¤Âš F¿æ£L fh£Lf.
éisÎ: 1. v©â¡ifia m¿ªJ bfhŸSjš 2. bgçaJ, Á¿aJ m¿ªJ bfhŸSjš 3. F¿pLfis F¿¡F« Kiwæid m¿jš
40
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neh¡f«: 1. bgçaJ, Á¿aJ, rk« M»at‰iw gl§fis¡ bfh©L és¡Fjš gæ‰Á¤jhŸ – 6 ÑnH bfhL¡f¥g£LŸs gl§fëš ÏUªJ bgçaJ, Á¿aJ rk« ( < , >, = ) M»at‰iw f£l¤Âš rçahd F¿æ£L ó®¤Â brŒf.
éisÎ: 1. v©fŸ v©Q« Kiw m¿jš 2. tF¥giwæš cŸs bghU£fis bfh©L bgçaJ, Á¿aJ, rk« òçjš 3. F¿pLfis m¿ªJ bfhŸSjš 41
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gapw;rpj; jhs; - 7 1. vz;fis xg;gpl;L rpwpa vz;iz tl;lkpLf.
87, 145
191, 32
123, 46
2. vz;fis xg;gpl;L ngupa vz;iz tl;lkpl;L vOJf.
98, 125
126, 56
127, 135
42
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gæ‰Á¤jhŸ – 8 ÑnH bfhL¡f¥g£LŸs v©fëš bgçaJ, Á¿aJ, rk« ( > , < , = ) M»at‰iw rçahd F¿pLfis f£l¤Âš F¿¡fΫ. 1)
16
26
6)
7
3
2)
9
14
7)
47
47
3)
43
34
8)
19
24
4)
15
15
9)
38
36
5)
32
22
10)
26
26
43
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gapw;rpj; jhs; - 9 1. cUt§fis it¤J bgça Á¿a gl§fis t£läLf.
2. Ñœf©l %ghŒ neh£L¡fë‹ bgça Á¿a v©fŸ m¿jš
neh¡f« :1. rçahd Ïizia¡ f©l¿jš 2. bgçaJ Á¿aJ m¿ªJ bfhŸSjš
44
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gæ‰Á¤jhŸ –10 10 rçahd Ïizia nj®bjL (äf¢Á¿a, äf¥bgça cUt«)
éisÎ: 1. tot§fis¡ bfh©L rçahd Ïizia m¿jš 2. tot§fis¡ bfh©L äf¥bgçaJ, äf¢Á¿aJ m¿jš
45
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gæ‰Á¤jhŸ : 11 ÑGŸs gl§fëš äf¥bgça gl§fis g¢ir ãw¤ÂY«, äf¢ Á¿a gl§fis Át¥ò ãw¤ÂY« fyçLf.
46
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nray;ghL : 17 1. xw;iw vz;fs; ,ul;il vz;fis milahsk; fhZjy;. 1
11
21
31
41
51
61
71
81
91
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9
19
29
39
49
59
69
79
89
99
10
20
30
40
50
60
70
80
90
100
xw;iw vz;fs;> ,ul;il vz;fis mwpKfg;gLj;Jg; NghJ> 1> 3> 5> 7> 9 y; KbAk; vz;fSf;F Nky; cs;sJ Nghy; MuQ;R tz;zk; cs;sJ Nghy; cUthf;fyk;. 0> 2> 4> 6> 8 y; KbAk; vz;fs; ,ul;il vz;fs; vdTk; mwpKfg;gLj;jp> ,jpy; KbAk; vz;fSf;F ePy tz;zk; G+rp vOjyhk; vdTk; nray;ghL mspf;fyhk;.
nray;ghL : 18 ,ul;il vz;fs; 0> 2> 4> 6> 8 vd;w vz;fisf; nfhz;Lk;> 1> 3> 5> 7> 9 vd;w vz;fisf; nfhz;Lk; KbAk; vd vz;Nfhl;ilf; nfhz;L fw;Wf; nfhLj;jy;.
47
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gæ‰Á¤jhŸ : 12
gapw;rpj; jhs; - 13 48
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1). ,ul;il vz;fis tl;lkpLf: 1. 47> 52> 69> 70> 84> 145> 132> 149 2. 57, 62, 77, 96, 332, 1000 3. 4, 8, 57, 83, 127, 222, 694 4. 33, 997, 578, 421, 478, 486, 426 5. 875, 87, 64, 87, 100, 432
2). xw;iw vz;fis tl;lkpLf: 1. 24> 36> 45> 28> 37> 35> 42> 48 2. 425, 986, 760, 654, 85, 105 3. 41, 38, 57, 183, 127, 222, 694 4. 133, 897, 479, 421, 478, 486, 426 5. 875, 871, 65, 87, 109, 492
49
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VW tupir> ,wq;F tupir nray;ghL : 19 khztu;fs; rpwpa vz;> ngupa vz;fs; gw;wp mwpe;jTld; VWtupir vd;gJ rpwpa vz;zpypUe;J njhlq;fp ngupa vz;iz Nehf;fpr; nry;Yk;. mjhtJ (Vzpg;gbapy; fPopypUe;J 0ypUe;J NkNY Vwp nry;tJ Nghy)
,wq;F tupir vd;gJ ngupa vz;zpypUe;J njhlq;fp rpwpa vz; Nehf;fp nry;Yk; (Vzpg; gbapy; NkypUe;J fPo; Nehf;fp ,wq;FtJ Nghy vd;W nrhy;ypf; nfhLj;J khztu;fis fzf;Ffis vspjhf nra;a itj;jy;.
gæ‰Á¤jhŸ :14 bfhL¡f¥g£l f£l§fëš äf¥bgça v©âš Mu«Ã¤J äf¢Á¿a v© tiu vGJf. 50
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äf¢ Á¿aJ
x‹WfŸ
x‹WfŸ
g¤J¡fŸ
4) 42, 18, 69, 73
g¤J¡fŸ
3) 89, 53, 67, 91
äf¢ Á¿aJ
x‹WfŸ
äf¥ bgçaJ
äf¢ Á¿aJ
äf¥ bgçaJ
21, 47, 39, 10, 46 g¤J¡fŸ
2) x‹WfŸ
äf¥ bgçaJ
g¤J¡fŸ
1) 56, 23, 14, 78, 40
äf¥ bgçaJ
äf¢ Á¿aJ
51
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gæ‰Á¤jhŸ :15
52
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brŒKiw 20 v©fë‹ v©f ë‹ ÏlkÂ¥ò
gapw;rpj; jhs; - 16 53
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mo¡nfho£l v©â‰F ÏlkÂ¥Ãid vGJf.
gapw;rpj; jhs; - 17 54
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RU¡»a toéš vGJf.
55
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gæ‰Á¤jhŸ :18
T£lš nray;ghL - 1 (ghrpfis nfhz;L $l;Ljy;) 56
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1) Xhpyf;f vz;fis $l;Ljy; (Nrh;j;jy;)
000 + 00 000 00
3 + 2 5
2)
x
57
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(10+ 3) =
+ g
13
+ x
(20+ 2) =22
g
x
(30 + 5)
35
Fwpg;G: ,Nj Nghd;W %d;W kl;Lk; ehd;F ,yf;f vz;fisg; ghrpfis nfhz;L (fzpj cgfuz ngl;b) $l;l ; g; gapw;rp mspf;f Ntz;Lk;.
nray;ghL - 2 (Fr;rpfisf; nfhz;L $l;Ljy;) 58
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$l;ly; nray; njhlq;Ftjw;F Kd; xd;wpyf;fk;> gj;J ,yf;fk;> E}W ,yf;fk;> MapukhtJ ,yf;fj;jpw;F jFe;jthW Fr;rpfis NtWgLj;j gapw;rp mspj;J gpd; $l;ly; nray;ghl;bid Nkw;nfhs;s Ntz;Lk;.
1)
g
x
(20 + 2)
22
(40 + 3)
43
(60 + 5)
65
(+)
nray;ghL - 4 (Mzp kzpr; rl;lj;ijg; gad;gLj;jpf; $l;Ljy;) 59
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43 + 46 = 43 (Kjy; vz;zpw;F chpa ghrpfis ,lkjpg;gpw;F jFe;j thW Mzpkzpr; M
E}
g
X
rl;lj;jpy; nghUj;Jjy;)
46 (,uz;lhk; vz;zpw;F chpa ghrpfis Kjy; vz; nghUj;jg;gl;Ls;s Mzp kzpr; rl;lj;jpy; ,lkjpg;gpw;Fj; jFe;jthW M
E}
g
X
nghUj;Jjy; Ntz;Lk;)
gb 3 ghrpfis vz;zp ,lkjpg;gpw;Fj; jFe;jthW tpilia $w Ntz;Lk;. tpil g x M
E}
g
X
8 9
gæ‰Á¤jhŸ 1 T£liy¥ ga‹gL¤Â g£l¤ij ÑGŸs v©fSl‹ Ïiz¡f.
60
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gæ‰Á¤jhŸ 2 FGéš cŸs éy§Ffis v©â vGJf. 61
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brašghL : 3 1) v©fS¡nf‰f nfhLfŸ tiuªJ T£Lf. 1
+
3
= 62
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I
+
III
= brašghL :4
v©â¥gh®¤J Ïiz¡f
brašghL :5 T£lš g£il gyifia¥ ga‹gL¤Â 7 + 8 ‹ kÂ¥ig¡ fh©f. brašghL :6 63
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T£lš gyifia¥ ga‹gL¤Â 6 + 5 ‹ kÂ¥ig vGJf. brašghL :7 m£ltizia ãu¥òf.
+
1
2
3
4
5
1 2 3 4 5
64
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gæ‰Á¤jhŸ : 3 T£liy¥ ga‹gL¤Â 10 tU« tifæš 1)nfho£l Ïl¤ij ãu¥òf.
4
+
=
10
2
+
=
10
2)
3)
8
+
=
10
5
+
=
10
7
+
=
10
4)
5)
gapw;rpj;jhs; - 4 65
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1)
32 + 12
2)
33 + 15
3)
4)
5)
41
25
43
+ 12
63
54
+ 34
+ 24
52
+ 15
70
28
+ 24
83
+ 21
84
+ 33
+ 29
+ 11
+ 15
24
25
50
67
+ 32
+ 34
+ 23
+ 30
52
30
+ 25
+ 35
65 + 30
78 + 11
gæ‰Á¤jhŸ : 5 T£lš m£ltizia ãu¥òf. 66
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+
0
1
0
2
3
4
5
6
7
9
2
7
3
6 4
5
10
6 7
9
2
1
4
8
13 8
8
14
9
gapw;rpj;jhs; - 6
67
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1)
38 + 12
2)
33 + 17
3)
4)
5)
48
29
48
+ 12
63
54
+ 33
+ 29
42
+ 18
78
28
+ 29
87
+ 24
86
+ 33
+ 29
+ 19
+ 15
28
25
58
67
+ 32
+ 37
+ 23
+ 39
57
38
+ 25
+ 35
65 + 37
78 + 17
fopj;jy; nray;ghL -1 68
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ghrpfisf; nfhz;L fopj;jy; gb 1: nghpa vz;zpypUe;J rpwpa vz;izf; fopf;f> me;j vz;zpf;ifapyhd ghrpapidg; nghpa vz;zpypUe;J ePfF ; jy; vd;w fUj;ij Ghpa itj;jy;.
8
– ∅∅
2
6
nray;ghL: 2 fopj;jy; gl;il gyif
fopj;jy; nray;ghlhdJ ePfF ; jy; vd;W nghUs;gLk; vd;gij tpsf;Fjy; v.fh:
1
9 -6 3
2
3
1
2
3
4
5
6
4
5
6
7
8
9
9 vd;w vz;zpd; kPJ ePy epw gl;ilia itj;J ml;ilia kiwg;gjd; %yk; gl;il KbAk; ,lj;jpy; ,Uf;Fk; kjpg;ghdJ tpil vd;gij mwpar; nra;jy;.
69
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nray;ghL : 3
nfhLf;fg;gl;l ,U vz;fspy;
gb
1: nghpa vz;iz Kjyhtjhf vOj Ntz;Lk;
gb
2: rpwpa vz;iz ,yf;f kjpg;gpw;F Vw;wthW nghpa vz;zpw;F fPNo vOj
Ntz;Lk;. gb
3: nghpa vz;zpypUe;J ,yf;f kjpg;gpid rpwpa vz;zpd; ,yf;fj;jpid
mjw;Nfw;wthW ePfF ; jy; Ntz;Lk;.
v.fh: 1 nfhLf;fg;gl;l ,U vz;fs;
8
5
(–)
,d khw;wkpd;wp 2
3
v.fh: 2
xd;wpd; ,l kjpg;gpy; nghpa vz;iz tpl rpwpa vz;zpd; xd;whk; ,yf;f kjpg;G mjpfkhf (–)
6 12
72 29
,Ug;gjhy; nghpa vz;zpd; gj;jhk; ,lkjpg;gpy;pUe;J xU gj;jpid xd;whk; ,l kjpg;gpw;F khw;Wk; nghOJ 10+2=12 xd;Wfs; khWtij mLj;J 9 vd;w vz;iz mjpypUe;J ePff ; KbAk; vd;w fUj;jpid njspT gLj;Jjy;.
70
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gæ‰Á¤jhŸ : 1
71
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gæ‰Á¤jhŸ : 2
72
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gæ‰Á¤jhŸ : 3 fê¤jiy t©z§fis¥ ga‹gL¤Â brŒJ k»œf.
10
==
4
6
=
2
7
= 3
5
=
1
73
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gæ‰Á¤jhŸ : 4 fê¤jiy t©z§fis¥ ga‹gL¤Â brŒJ k»œf. 1) 5 - 2 =
=
2) 6 – 3 =
=
=
3) 4 – 1 =
4) 7 – 4 =
=
74
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gæ‰Á¤jhŸ – 5 1) 9 – 3
5
2) 5 – 3
4
3) 7 – 2
2
4) 9 – 8
3
5) 9 – 2
1
6) 8 - 4
7
7) 4 – 1
6
75
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gapw;rpj;jhs; - 6 (fopj;jy;)
,uz;L ,yf;f vz;fisf; nfhz;L ,dkhw;wkpd;wpf; fopj;jy;
1)
47
2)
– 32
4)
54
– 11
5)
– 14
7)
76 – 30
10)
3)
52
– 32
6)
72 – 22
8)
85
52 – 31
9)
54 – 20
75 – 24
67 – 43
76
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gapw;rpj;jhs; - 7
1) ,uz;L ,yf;f vz;fisf; nfhz;L ,dkhw;wj;Jld; fopj;jy;
1)
42
2)
– 25
4)
70
– 28
5)
– 45
7)
78 – 69
10)
3)
56
– 27
6)
88 – 59
8)
66
60 – 55
9)
60 – 45
90 – 51
88 – 39
77
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topfhl;Ljy; jy jpU. ,uh. KUfd; M.Sc., M.Ed., M.Phil., Kjd;ikf; fy;tp mYtyh;> jpUg;G+h;.
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78
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