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xf.kr
mís';nks ,d&vadh; la[;kvksa dks tksM+ukA
vko';d lkexzh
iz;ksx fd, gq, ,Y;wfefu;e osQ i=k (i- QWkby)] pkVZ isij] ;w&fDyi]èkkxk] lqbZ] LosQp isu] iklkA
jpuk dh fof/1- iz;ksx fd, gq, ,Y;wfefu;e osQ i=k yhft,A bu
,Y;wfefu;e i=kksa dk iz;ksx djrs gq,] leku vkdkjksadh oqQN NksVh xsansa (xksfy;k¡) (eku yhft, 30)cukb, (vkoQfr 1)A
2- lqbZ vkSj èkkxs dh lgk;rk ls bu xsanksa dh ,d ekyk cukb, (vkoQfr 2)A
vko`Qfr 2
3- pkVZ isij dk iz;ksx djosQ] oqQN oxkZdkjdkMZ (eku yhft, 30) cukb,A
4- izR;sd dkMZ ij ,d la[;k 1] 2] 3] ---]fyf[k,] tSlk fd vkoQfr 3 esa n'kkZ;k x;k gSA
5- izR;sd dkMZ ij ,d ;w&fDyi yxkb, (vkoQfr 4)A
izn'kZu1- laiw.kZ d{kk dks pkj&pkj fo|k£Fk;ksa osQ lewgksa esa foHkkftr dhft,A nks fo|kFkhZ ekyk dks
idM+saxsA
fozQ;kdyki
vko`Qfr 1
vko`Qfr 4
vko`Qfr 3
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
2- ,d fo|kFkhZ ikls dks isaQosQxk rFkk ml ij vkus okyh la[;k dks ns[ksxk (eku yhft, 5)A
3- nwljk fo|kFkhZ la[;k 5 okyk dkMZ mBk,xk] xsanksa dks fxusxk rFkk ekyk ij la[;k dk VSx(dkMZ) yxk nsxkA
4- ikls dks iqu% isaQdk tkrk gSA ;fn ikls ij 3 vkrk gS] rks og cPpk 5 ls vkxs 3 xsansa fxusxkvkSj ml LFkku ij 3 dh la[;k dk VSx yxk nsxkA (vkoQfr 5)
5- vc] ,d cPpk la[;k VSx 3 rd lHkh xsanksa dks fxusxk rFkk 8 dk u;k la[;k VSx yxk nsxkvkSj vU; VSxksa dks gVk nsxk (vkoQfr 6)A
vko`Qfr 5
vko`Qfr 6
6- bl izdkj] 5 + 3 = 8 gSA blh fozQ;kdyki dks vU; cPpksa }kjk vusd ckj nksgjk;k tkldrk gSA
izs{k.kcPpk igyh isaQd ij nwljh isaQd ij ;ksx lafozQ;k oqQy ;ksx
la[;k la[;k
1 5 3 5 + 3 8
2 –– –– –– ––
3 –– –– –– ––
4 –– –– –– ––
5 –– –– –– ––
vuqiz;ksx1- ;g fozQ;kdyki nks ,d&vadh; la[;kvksa osQ tksM+us dh lafozQ;k dks ewrZ oLrqvksa dh lgk;rk
ls le>us esa mi;ksxh gSA
2- bl fozQ;kdyki dks 100 xsanksa@eudksa dh ekyk ysdj] nks vadksa okyh la[;kvksa osQ tksM+us dhlafozQ;k dks le>us osQ fy, foLrr fd;k tk ldrk gSA
26/04/2018
xf.kr
fozQ;kdyki
mís';la[;kvksa osQ ;ksx vkSj ?kVkus esa vkdyu dh vuqHkwfr fodflr djukA
vko';d lkexzh
oaQdM ;k cksryksa osQ <Ddu] isafly] isu] dkx”kA
izn'kZu1- cPpksa dks (eku yhft, ik¡p&ik¡p osQ) lewgksa esa cSBk;k tk ldrk gSA lHkh oaQdM+ksa dks chp
esa j[k fn;k tkrk gSA
2- viuh&viuh ckjh vkus ij lewg dk çR;sd cPpk viuh nksukssa eqfëò;ksa esa ftrus oaQdM+ mBkldrk gS] mBk ysxkA vc og cPpk viuh eqfëò;ksa esa oaQdM+ksa dh la[;k dk vkdyu djrkgS vkSj og la[;k lewg dks crkrk gSA
3- lewg osQ vU; cPps mu oaQdM+ksa dks fxurs gSa rFkk mu oaQdM+ksa dh okLrfod la[;k crkrs gSaAblosQ ckn oaQdM+ksa dks okfil <sjh esa j[k fn;k tkrk gSA
4- fiQj os bu nks la[;kvksa dh rqyuk djrs gSa rFkk ,d lkj.kh@vH;kliqfLrdk esa fy[krs gSaA ogcPpk ftlosQ }kjk vkdfyr la[;k okLrfod la[;k osQ lcls vf/d fudV gks fotsrk ?kksf"krgksrk gSA
5- nwljs lewg Hkh ;g fozQ;kdyki djrs gSaA
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
izs{k.klewg cPpk vkdyu la[;k okLrfod la[;k varj
de vf/d
I 1 5 7 2 ––
2 –– –– –– ––
3 –– –– –– ––
4 –– –– –– ––
5 –– –– –– ––. . . . .. . . . .. . . . .
vuqiz;ksx1- ;g fØ;kdyki vkdyu osQ vFkZ dks le>us rFkk la[;kvksa osQ ;ksx vkSj ?kVkus dks le>us
esa Hkh mi;ksxh gSA
2- ;g fØ;kdyki vkxs fotsrkvksa osQ chp Hkh [ksyk tk ldrk gSA
26/04/2018
xf.kr
mís';ngkb;ksa vkSj bdkb;ksa dks le>ukA
vko';d lkexzh
LVªkW] jcM+ cSaM] oSaQph] iklk] dkx”k] isaflyA
jpuk dh fof/1- oqQN (eku yhft, 200) LVªkW yhft,A
2- bUgsa NksVs leku Hkkxksa esa foHkkftr dhft, (eku yhft, 6 cm yacs) (vkoQfr 1)A
vko`Qfr 1
izn'kZu1- d{kk dks eku yhft, 4 cPpksa osQ lewgksa esa foHkkftr fd;k tkrk gSA
2- fdlh lewg dk ,d cPpk ,d ikls dks isaQosQxk rFkk ikls ij vkus okyh la[;k osQ laxrLVªkWvksa dks mBk,xkA
3- blosQ ckn] lewg dk nwljk cPpk iklk isaQosQxk rFkk ikls ij vkus okyh la[;k osQ laxr LVªkWfxudj mBk,xkA
4- ;g dk;Z ckjh&ckjh ls lewg osQ izR;sd cPps }kjk fd;k tk,xkA
5- tc mBk, x, LVªkW dh la[;k 10 ls vfèkd gks tk,xh] rc cPps jcM+ cSaM dh lgk;rk ls10 LVªkW dk caMy cuk,¡xsA lewg dh izR;sd cPph vius caMy cuk,xh rFkk [kqys gq, LVªkW dksiFko~Q j[ksxhA blosQ ckn] izR;sd cPpk caMyksa vkSj [kqys gq, LVªkW fxusxk rFkk budks fy[kdjosQ fjdkWMZ djsxkA
fozQ;kdyki
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
6- ckn esa] cPps budks fxusaxs rFkk Kkr djsaxs fd fdlus vfèkdre LVªkW izkIr fd, gSaA ;ghfozQ;kdyki vU; lewgksa esa Hkh fd;k tk,xkA
izs{k.klewg fo|kFkhZ dk caMykas dh [kqys LVªkW dh oqQy LVªkW dh
uke la[;k la[;k la[;k
I 1 –– –– ––
2 –– –– ––
3 –– –– ––
4 –– –– ––
. . . .
. . . .
. . . .
vuqiz;ksx1- bl fozQ;kdyki dk iz;ksx ngkb;ksa vkSj bdkb;ksa dh voèkkj.kkvksa dks le>us osQ fy, fd;k
tk ldrk gSA
2- blh fozQ;kdyki dks] LVªkW dh la[;k osQ vuqlkj] lSdM+k] ngkbZ vkSj bdkbZ osQ vFkZ dks Li"Vdjus esa Hkh iz;ksx fd;k tk ldrk gSA
26/04/2018
xf.kr
mís';•sy&•sy esa le vkSj fo"ke la[;kvksa dh •kst djukA
vko';d lkexzh
oaQdM+] cksryksa osQ <Ddu] ?ku] bR;kfnA
izn'kZu1- 10 oaQdM+ ;k cksryksa osQ <Ddu yhft, rFkk fdUgha nks cPpksa ls dfg, fd os ckjh&ckjh ls
,d&,d oaQdM+ rc rd mBkrs tk,¡] tc rd fd muosQ ikl oaQdM+ksa dh la[;k cjkcj ugks tk,A nsf•, fd D;k var esa dksbZ oaQdM+ 'ks"k cprk gSA
2- vc 14 oaQdM+ yhft, rFkk nks fHkUu cPpksa osQ lkFk ;gh fØ;kdyki dhft,] tks mQij fd;kgSA nsf•, fd bl ckj dksbZ oaQdM+ cpk gS ;k ughaA
3- iqu%] 11 oaQdM+ yhft, rFkk nks cPpksa ls dfg, fd os ckjh&ckjh ls ,d&,d oaQdM+ mBkrstk,a] tc rd fd muosQ ikl oaQdM+ksa dh la[;k cjkcj u gks tk,A nsf•, fd dksbZ oaQdM+cpk gS ;k ughaA
4- blh fØ;kdyki dks 15 oaQdM+ ysdj nksgjkb,A nsf•, fd D;k dksbZ oaQdM+ 'ks"k cpk gS ;kughaA
5- blh fØ;kdyki dks oaQdM+ksa dh vU; la[;k ysdj nksgjkb,A
izs{k.k1- 'ks"k cps oaQdM+ksa dh la[;k&
pj.k 1 esa ______, pj.k 2 esa ______, pj.k 3 esa ______, pj.k 4 esa ______
fozQ;kdyki
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
2- pj.k 1 esa] oaQdM+ksa dh la[;k = 10_ 'ks"k oaQdM+kas dh la[;k = 0
pj.k 2 esa] oaQdM+kas dh la[;k = _______ 'ks"k oaQdM+kas dh la[;k = ______ A
10] 14 --------- tSlh la[;k,¡ le la[;k,¡ dgykrh gSaA
3- pj.k 3 esa] 'ks"k oaQdM+ksa dh la[;k = 1
pj.k 4 esa] 'ks"k oaQdM+kas dh la[;k = _______ A
11] 15 --------- tSlh la[;k,¡ fo"ke la[;k,¡ dgykrh gSaA
vuqiz;ksx1- çR;sd ckj oaQdM+kssa dh fHkUu la[;k,¡ ysdj] vusd ckj bl fØ;kdyki dks djosQ cPpksa dks
nksuks çdkjksa dh la[;kvksa] le vkSj fo"ke esa] varj le>us nhft,A
2- ;g fØ;kdyki ,d vosQys cPps }kjk ,d lkFk nks oaQdM+ mBkdj ;g fu"d"kZ fudkyus esaHkh fd;k tk ldrk gS fd fn, gq, oaQdM+ksa dh la[;k le gS ;k fo"keA
26/04/2018
xf.kr
mís';fdUgha nks vadksa ls nks vadksa okyh la[;k,¡ cukuk rFkk mudh rqyuk djukA
vko';d lkexzh
dkMZcksMZ (xÙkk)] isLVy 'khV] pkVZ isij] oSaQph] LosQp isu]isafly
jpuk dh fof/1 ,d dkMZcksMZ ;k isLVy 'khV yhft, vkSj blesa ls cjkcj eki osQ 10 oxkZdkj VqdM+s dkV
yhft,A
2- bu oxkZdkj VqdM+ksa ij vad 0] 1] 2] 3] 4] 5] 6] 7] 8] 9 fyf[k, (,d VqdM+s ij ,dvad)A
izn'kZu1- laiw.kZ d{kk dks lewgksa esa (eku yhft, 4 osQ) foHkkftr fd;k tk ldrk gSA
2- oxkZdkj VqdM+ksa osQ laxzg dks ,d est ij lewgksa osQ lkeus mYVk djosQ j[k fn;k tk,xkA
3- izR;sd cPpk bu 10 VqdM+ksa esa ls dksbZ nks VqdM+s mBk,xk rFkk bu vadksa dks lVk osQ j[kdjlHkh laHko la[;k,¡ cuk,xk vkSj bUgsa ,d pkVZ isij ij fjdkMZ djsxkA
4- blosQ ckn og cPpk bu la[;kvksa dh rqyuk djsxkA
5- blh izdkj] lewg osQ vU; cPps ;g fozQ;k djsaxsA
6- izkIr cM+h la[;kvksa esa ls] ml lewg esa izkIr lcls cM+h la[;k dh mUgsa igpku djus nhft,A
7- blh fozQ;kdyki dh lHkh lewgksa }kjk iqujkofÙk dh tk ldrh gSA
fozQ;kdyki
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
8- izR;sd lewg dh lcls cM+h la[;kvksa esa ls] mUgsa lcls cM+h la[;k dh igpku djus nhft,A
izs{k.k
lewg I
fo|kFkhZ igyk nwljk nks vadksa dh cM+hvad vad la[;k,¡ la[;k
1 2 5 25, 52 52
2 –– –– –– ––
3 –– –– –– ––
4 –– –– –– ––
vr% lewg 1 dh lcls cM+h la[;k ________ gSA
lewg II
fo|kFkhZ igyk nwljk nks vadkas dh cM+hvad vad la[;k,¡ la[;k
1 –– –– –– ––
2 –– –– –– ––
3 –– –– –– ––
4 –– –– –– ––
vr% lewg 2 dh lcls cM+h la[;k ________ gSA
lHkh lewgksa esa lcls cM+h la[;k ________ gSA
vuqiz;ksx1- ;g fozQ;kdyki ngkbZ vkSj bdkbZ osQ LFkkuksa ij fdlh vad osQ LFkkuh; ekuksa dks le>us osQ
fy, mi;ksxh gSA
2- blh fozQ;kdyki dks 3 ;k vf/d vadksa dh la[;kvksa osQ fy, Hkh mi;ksx fd;k tkldrk gSA
26/04/2018
xf.kr
mís';le vkSj fo"ke la[;kvksa dk ç;ksx djrs gq,] ;ksx vkSj ?kVkus dh lafØ;k,¡ djukA
vko';d lkexzh
dkMZcksMZ] l -isQn 'khV] isu] iklk] fofHkUu jaxksa osQ cVuA
jpuk dh fof/1- ,d lqfo/ktud eki dk dkMZcksMZ yhft, vkSj ml ij ,d l -isQn 'khV fpidkb,A
2- ,d lk¡i dk fp=k [khafp, vkSj ml ij vkÑfr 1 esa n'kkZ, vuqlkj 1 ls 50 rd la[;k,¡fyf[k,A
[[ksy]
vko`Qfr 1
fozQ;kdyki
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
vkb, [ksysa1- lk¡i dh iw¡N bl [ksy dk çkjafHkd fcanq gSA cPph iklk isaQdrh gSA og vius cVu dks rHkh
pyk ldrh gS] tc ikls dks isaQdus ij ,d fo"ke la[;k vk tk,A
2- lk¡i osQ eq[k vFkok la[;k 50 ij igq¡pus osQ ckn og cPph mlh jkLrs ls okfil vkuk çkajHkdj nsxhA ijarq ykSVus osQ fy, ikls ij ,d le la[;k vkuh pkfg,A
3- ;g [ksy pkj cPpksa osQ lewg esa [ksyk tk ldrk gSA çR;sd cPpk viuh ckjh vkus ij iklsdks isaQdrk gS rFkk mijksDr mQij tkus @ okfil vkus osQ fu;eksa osQ vuqlkj viuk cVu pykrkgSA og cPpk tks lcls igys iw¡N ij igq¡p tk,xk fotsrk ?kksf"kr gksxkA
vuqç;ksx1- ;g fØ;kdyki le vkSj fo"ke la[;kvksa dks le>us rFkk mu ij ;ksx vkSj ?kVkus dh lafØ;k,¡
djus osQ fy, mi;ksxh gSA
2- fu;eksa dks la'kksf/r Hkh fd;k tk ldrk gS] tSls le la[;k ls mQij tkuk vkSj fo"ke la[;kls okfil ykSVukA
3- lk¡i ij fy[kh gqbZ la[;kvksa dks 100 rd c<+k;k tk ldrk gSA
26/04/2018
xf.kr
mís';nks vadksa dh la[;kvksa dks tksM+uk vkSj ?kVkukA
vko';d lkexzh
dkMZcksMZ] dVj] xksan] fofHkUu jaxksa osQ ekoZQj] l-isQn dkx”k]pkVZ isijA
jpuk dh fofèk1- lqfoèkktud eki dk ,d dkMZcksMZ yhft, vkSj ml ij l -isQn dkx”k fpidkb,A
2- ,d pkVZ isij yhft, rFkk mlesa ls fofHkUu vkdkjksa osQ i;kZIr la[;k esa leku VqdM+s dkVyhft,] tSlk fd vkoQfr 1 esa n'kkZ;k x;k gSA
vko`Qfr 1
3- izR;sd esa 1] izR;sd esa 10 rFkk izR;sd esa 100 fyf[k,] tks ozQe'k% bdkbZ]
ngkbZ vkSj lSdM+k O;Dr djrk gSA
4- ge ,d dks nl ls vkSj ,d dks nl ls izfrLFkkfir dj ldrs gSaA
izn'kZu(A) tksM+ (58 + 17)?
1- la[;k 58 fu:fir djus osQ fy, ik¡p vkdkj vkSj 8 vkdkj yhft,A
fozQ;kdyki
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
58 :
2- nwljh la[;k 17 dks fu:fir djus osQ fy,] ,d vkSj lkr yhft,A
17 :
3- 58 vkSj 17 dks tksM+us osQ fy,] bu la[;kvksa dks uhps n'kkZ, vuqlkj fyf[k,&
4- tksM+us osQ fy,] vkdkjksa dks fxfu,A ;s 15 gSaA bldk vFkZ gS & ,d (gkfly)
ik¡p A
5- blls izkIr gksrk gS µ
vr% 58 + 17 = 75 gSA
;g fozQ;kdyki fofHkUUk 2&vadkas dh la[;kvksa osQ tksM+ osQ fy, nksgjk;k tk ldrk gSA
(B) ?kVk (34 – 19)?
1- la[;k 34 fu:fir djus osQ fy, rhu vkdkj vkSj pkj vkdkj ysaA
34 :
2- la[;k 19 fu:fir djus osQ fy, ,d vkSj ukS vkdkj ysaA
26/04/2018
xf.kr
19 :
3- 19 dks 34 esa ls ?kVkus osQ fy, bu la[;kvksa dks uhps n'kkZ, vuqlkj fy[ksaA
4- pkj esa ls ukS dks ?kVk;k ugha tk ldrk gSA vr%] ,d dks nl esa
cnfy,] tSlk fd uhps n'kkZ;k x;k gS &
(ukS vkdkjksa dh 34 esa ls rFkk ukS vkdkjksa dh 19 esa ls tksfM+;k¡ cuk,¡A)
vr%] 34 – 19 = 15 gSA
bl fozQ;kdyki dks 2&vadksa okyh vU; nks la[;kvksa osQ ?kVkus osQ fy, nksgjk;k tk ldrk gSA
izs{k.k(A) ;ksx
fuEu lkj.kh dks iwjk dhft,&
ozQe la[;k igyh la[;k nwljh la[;k ;ksx
1 28 15 ––
2 72 65 ––
3 65 11 ––
. . . .
. . . .
. . . .
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
(B) ?kVk
fuEu lkj.kh dks iwjk dhft, &
ozQe la[;k igyh la[;k nwljh la[;k igyh la[;k & nwljh la[;k
1 23 9 23 – 9 = _______
2 85 46 85 – 46 = _______
3 78 65 78 – 65 = _______
. . . .
. . . .
. . . .
vuqiz;ksx1- ;g fozQ;kdyki nks vadksa okyh la[;kvksa osQ ;ksx vkSj ?kVkus dh izfozQ;k dks Li"V djus osQ
fy, iz;ksx fd;k tk ldrk gSA
2- ;g fozQ;kdyki 3 vadksa okyh la[;kvksa osQ ;ksx vkSj ?kVkus osQ fy, foLrr fd;k tkldrk gSA
26/04/2018
xf.kr
mís';vadksa dk iz;ksx djrs gq, rhu vadksa dh la[;k,¡ cukukA
vko';d lkexzh
'kVydkWd osQ [kkyh fMCcs (csyukdkj)] xksan] ikjn'kZd 'khV]oSaQph] ekoZQj (uhyk@dkyk@gjk ;k yky) isu@isafly] lsyksVsi]l-isQn dkx”k dh 'khV] ik¡p jcM+ cSaMA
jpuk dh fofèk1- ,d [kkyh 'kVydkWd dk fMCck yhft,A
2- bl ij ,d l -isQn dkx”k dh ,d 'khV yisfV,A
3- ,d ikjn'kZd 'khV esa ls yxHkx 2 cm pkSM+kbZ dh rhu vk;rkdkjifêð;k¡ dkfV,A
4- izR;sd iêðh ij] fofHkUu jaxksa osQ ekoZQjksa ls mQèokZ/j vad 0 ls 9fyf[k, (vkoQfr 1)A
5- fMCcs dks dgha ij (1 cm pkSM+kbZ esa) ihys jax ls jafx, (vkoQfr 2)A
vko`Qfr 2
6- fMCcs ij vkoQfr 2 esa n'kkZ, vuqlkj O, T vkSj H fyf[k,A
fozQ;kdyki
vko`Qfr 1
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
7- vc fMCcs ij izR;sd iêðh dks bl izdkj yisV nhft, fdmlosQ nksuksa fljs ijLij fey tk,¡A bu nksuksa fljksa dks lsyksVsils tksfM+,A ;fn vko';d gks] rks iêðh osQ vfrfjDr Hkkx dksdkVk tk ldrk gSA
8- ifê ð;ksa dks iFkd djus osQ fy,] chp esa jcM+ cSaM yxknhft, (vkoQfr 3)A
izn'kZu1- f'k{kd ;k xzqi yhMj dksbZ rhu vadksa dh la[;k cksy ldrk gSA ;g la[;k lqudj fo|kFkhZ
ckjh&ckjh ls fMCcs osQ vuqfn'k ifêð;ksa dks ?kqekdj og la[;k cuk,¡xsA
2- ,d fo|kFkhZ }kjk bl izdkj cukbZ xbZ la[;k dh vU; lnL;ksa }kjk rqjar tk¡p dj mls lghfd;k tk ldrk gS (;fn ”k:jr gks rks)A
3- blosQ ckn] os bl la[;k dks dkx”k ij fy[ksaxsA bl la[;k osQ vadksa osQ LFkkuh; ekuksa dks Hkhfy[kk tk ldrk gSA
izs{k.kfo|kFkhZ la[;k vadksa osQ LFkkuh; eku
1 573 5 lSdMs+ 7 ngkbZ 3 bdkbZ
2 –––– –––– –––– ––––
3 –––– –––– –––– ––––
4 –––– –––– –––– ––––
5 –––– –––– –––– ––––
vuqiz;ksx1- ;g fozQ;kdyki fn, gq, vadksa ls la[;k,¡ cukus dh fozQ;k dks Li"V djus rFkk bu vadksa osQ
LFkkuh; ekuksa osQ vFkZ dks Li"V djus esa mi;ksxh gSA
2- bl fozQ;kdyki dk foLrkj 6 vadksa rd dh la[;kvksa osQ fy, fd;k tk ldrk gSA
vko`Qfr 3
26/04/2018
xf.kr
mís';lewgu dh Hkkouk fodflr djukA
vkb, [ksysa1- cPps ,d oÙk osQ vuqfn'k ?kwe jgs gSaA f'k{kd dgrk gS ^cksyks HkkbZ fdrus\*A cPps dgrs gSa
^vki cksyks ftrus*A2- rc f'k{kd ,d la[;k 4 cksyrk gSA cPps rqajr oÙkkdkj Üka[kyk dks rksM+ nsrs gSa rFkk vius dks
pkj&pkj osQ lewgksa esa O;ofLFkr dj ysrs gSaA3- buesa tks Hkh fcuk lewg osQ jg tkrk gS (;g ,d cPpk] 2 cPps ;k 3 cPps gks ldrs gSa)
[ksy ls ckgj gks tkrk gSA4- tks cPps [ksy esa jg tkrs gSaa] iqu% oÙk esa ?kweus yxrs gSaA f'k{kd dgrk gS cksyks HkkbZ fdrus*A
cPps dgrs gaSA ^vki cksyks ftrus*A5- rc] f'k{kd la[;k 5 cksyrk gSA cPps iqu% oÙkkdkj Üka[kyk rksM+ nsrs gSa rFkk vius dks
ik¡p&ik¡p osQ lewgksa esa iquO;ZofLFkr dj ysrs gSaA tks Hkh cPpk fcuk lewg osQ jg tkrk gS] og[ksy ls ckgj gks tkrk gS rFkk blh çdkj [ksy vkxs pyrk jgrk gSA
çs{k.k30 cPpksa osQ lewg osQ fy,
cksyh xbZ la[;k lewgksa dh la[;k [ksy ls ckgj [ksy esa cpssgq, cPpksa cPpksadh la[;k dh la[;k
4 7 2 28
5 5 3 25
2 –––– –––– ––––
3 –––– –––– ––––
vuqç;ksx;g fØ;kdyki la[;kvksa osQ foHkktu dh vo/kj.kk dks Li"V djus osQ fy, mi;ksxh gSA
fozQ;kdyki[[ksy]
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
fozQ;kdyki
mís';okLrfod oLrqvksa dh lgk;rk ls xq.ku djukA
vko';d lkexzh
>kM+w dh lhaosaQ] dkx”k] iassfly@isu] dkMZcksMZ] xksanA
izn'kZu1- ,d lqfo/ktud eki dk dkMZcksMZ yhft, vkSj ml ij ,d l -isQn dkx”k fpidkb,A
2- ,d la[;k eku yhft, 5 dk ,d vU; la[;k ls xq.kk djus osQ fy,] 5 >kM+w dh lhaosaQ yhft,vkSj mUgsa ,d dkMZcksMZ ij mQèokZ/j fpidkb, (vkÑfr 1)A
vkÑfr 1
3- la[;kvksa 5 vkSj 1 dk xq.kk djus osQ fy,] 5 mQèokZ/jlhadksa ij ,d lhad {kSfrtr% jf•,] tSlk fd vkÑfr 2 esan'kkZ;k x;k gSA
4- vkÑfr 3 esa n'kkZ, vuqlkj] çfrPNsn fcanqvksa dh la[;k dksKkr dhft,] tks 5 gSaA
bl izdkj] 5 × 1 = 5 gSA
5- vc] vkÑfr 4 esa n'kkZ, vuqlkj] 5 mQèokZ/j lhadksa ij 2lhaosaQ {kSfrtr% jf•, rFkk çfrPNsn fcanqvksa dks fxfu,A
vkÑfr 2
vkÑfr 3
26/04/2018
xf.kr
bu çfrPNsn fcanqvksa dh la[;k 10 gSA
bl izdkj] 5 × 2 = 10 gSA
6- blh çdkj] 5 mQèokZ/j lhadksa ij 3 lhaosaQ {kSfrtr% jf•,rFkk çfrPNsn fcanqvksa dks fxfu,] tks 15 gSa (vkÑfr 5)A
bl izdkj] 5 × 3 = 15 gSA
blh çdkj] 5 dk fdlh vU; la[;k osQ lkFk xq.kuiQy KkrdjsaA
izs{k.k1- mQèokZ/j lhadksa dh la[;k = ________
{kSfrt lhadksa dh la[;k = 1
çfrPNsn fcanqvksa dh la[;k = ________ = ________ × 1
2- {kSfrt lhadksa dh la[;k = 2
çfrPNsn fcanqvksa dh la[;k = ________ = ________ × 2
3- {kSfrt lhadksa dh la[;k = 3
çfrPNsn fcanqvksa dh la[;k = ________ × ________
5 × 1 = ______ , 5 × 2 = ______ , 5 × 3 = ______ ,
5 × 4 = ______ , 5 × 5 = ______ , 5 × 6 = ______ ,
5 × 7 = ______ , 5 × 8 = ______ , 5 × 9 = ______,
5 × 10 = ______
vuqç;ksxbl fØ;kdyki dk mi;ksx fdUgha nks la[;kvksa dk xq.kuiQy Kkr djus esa fd;k tk ldrk gSA
vkÑfr 4
vkÑfr 5
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
mís';lewgu }kjk foHkktu dks le>ukA
vko';d lkexzh
dkMZcksMZ] l-isQn dkx”k] LosQp isu] oSaQph] cVu dkmaVj] pwfM+;k¡]xksanA
jpuk dh fofèk1- ,d dkMZcksMZ yhft, vkSj ml ij ,d l -isQn dkx”k fpidkb,A
2- dkMZcksMZ ij ,d iafDr esa oqQN (eku yhft, 6 ;k 7) pwfM+;k¡ j[k nhft, (vkoQfr 1)A
vko`Qfr 1
izn'kZu1- fdlh la[;k] eku yhft,] 20 dks foHkkftr djus osQ fy,] 20 cVu yhft, vkSj izR;sd pwM+h
osQ vanj rhu (Hkktd) cVu jf[k, (vkoQfr 2)A
2- ;fn dksbZ cVu 'ks"k jgrk gS] rks mls pwfM+;ksa ls ckgj jf[k,A
3- rhu cVuksa ls Hkjus okyh pwfM+;ksa dh la[;k HkkxiQy gS rFkk 'ks"k cps gq, cVu 'ks"kiQy gaSAvr% 20 ÷ 3 esa] HkkxiQy 6 gS vkSj 'ks"kiQy 2 gSA
vko`Qfr 2
fozQ;kdyki
26/04/2018
xf.kr
izs{k.kozQe la[;k foHkktu HkkxiQYk 'ks"kiQy
1 16 ÷ 3 5 1
2 15 ÷ 4 –– ––
3 8 ÷ 2 –– ––
4 10 ÷ 5 –– ––
vuqiz;ksx;g fozQ;kdyki cPpksa dh foHkktu izfozQ;k dks le>us esa lgk;rk djsxk rFkk ;g mudks HkkT;]
Hkktd] HkkxiQy vkSj 'ks"kiQy tSls inksa dks le>kus esa Hkh lgk;d gksxkA
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
mís';,d VSuxzke cukuk RkFkk mlosQ VqdM+ksa dk iz;ksx djrs gq, fofHkUu vkoQfr;k¡ cukukA
vko';d lkexzh
dkMZcksMZ] fxzM isij] oSaQph] isu@isafly] fofHkUu jax] T;kfefrckWDl] xksanA
jpuk dh fof/1- ,d lqfo/ktud eki dk dkMZcksMZ yhft,A
2- bl ij 8 cm HkqTkk eki yhft,A vkSj ,d oxZ [khafp,A
3- vko`Qfr 1 esa n'kkZ, vuqlkj js[kk[kaM [khafp,A
4- bls fcanqfdr js[kkvksa osQ vuqfn'k dkfV, rFkk vko`Qfr 2 esan'kkZ, vuqlkj lkr VqdMs+ (Hkkx) izkIr dhft,A
vko`Qfr 1
vko`Qfr 2
fozQ;kdyki
26/04/2018
xf.kr
izn'kZu1- vkoQfr 2 esa izkIr 7 VqdM+s ,d VSuxzke osQ VqdMs+ gaSA
2- bu lkrksa VqdM+ksa dks fofHkUu izdkj ls O;ofLFkr djosQ fofHkUu vkdkj cuk, tk ldrs gaS] tSlkvkoQfr 3 esa n'kkZ;k x;k gSA
(a) (b)
vko`Qfr 3
bl izdkj] bu lkr VqdM+ksa dk iz;ksx djrs gq, vU; vkdkj cukus dk iz;kl dhft,A
izs{k.k1- VSuxzke osQ VqdM+ksa dh la[;k : __________
2- f=kHkqtksa dh la[;k : __________
3- lekarj prqHkqZt dh la[;k : __________
4- oxks± dh la[;k : __________
5- vkoQfr 3(a) esa izkIr vkdkj __________ tSlk fn[kkbZ nsrk gSA6- vkoQfr 3(b) esa izkIr vkdkj __________ tSlk fn[kkbZ nsrk gSA
vuqiz;ksx1- ;g fozQ;kdyki fofHkUu T;kferh; vkdkjksa dks le>us esa lgk;rk djrk gSA
2- cPps bu lkrksa VqdM+ksa dk iz;ksx djrs gq, fofHkUu vkdkjksa] tSls vaxzs”kh o.kZekyk osQ v{kjksa]0 ls 9 rd osQ vadksa dks cuk ldrs gSaA
3- VSuxzke osQ VqdMksa ls oqQN vU; vkdkjksa vkSj fM”kkbuksa dks cukus osQ fy, cPpksa dks izksRlkfgrdhft,A
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
mís';,d Kkr lanHkZ esa la[;k lafozQ;k,¡ lh[kukA
vko';d lkexzh
1] 2] 5] 10] 20] 50 vkSj 100 dks fu:fir djus okys[ksy&uksV] fofHkUu oLrqvksa ([kkus dh oLrq,¡ vkSj nSfud mi;ksxdh vU; oLrq,¡) osQ [kkyh iSosQV] d{kk esa miyCèk oLrq,¡ (isafly]jcM+] cksrysa] vH;kl iqfLrdk,¡] bR;kfn)] pkVZ isij] oSaQph]LosQp isu] xksanA
jpuk dh fofèk1- ,d pkVZ isij yhft, rFkk mls NksVs vk;rkdkj VqdM+ksa@ifêð;ksa esa dkV yhft,A
2- d{kk esa miyCèk fofHkUu oLrqvksa] tSls isafly] jcM+] cksry] vH;kl iqfLrdkvksa bR;kfn osQ nkeksadks yhft,A
3- bu oLrqvksa ij buosQ ewY;ksa dh ifê ð;k¡ fpidkb,A
izn'kZu1- cPpksa ls bl fozQ;kdyki dks lewgksa esa djus osQ fy, dfg,] tcfd ,d lewg esa 5 cPps gksaA
buesa ls ,d cPpk nqdkunkj dh Hkwfedk fuHkk, vkSj 'ks"k cPps xzkgdksa dh Hkwfedk fuHkk,¡A
2- izR;sd cPps dks cjkcj&cjkcj èkujkf'k (eku yhft, 100) ck¡V nsa rFkk lkFk gh oqQNèkujkf'k nqdkunkj cus cPps dks Hkh nsa ftldk mi;ksx og [kqys iSls nsus esa dj losQxkAèkujkf'k;ksa esa fofHkUu izdkj osQ uksV gksus pkfg,A
3- cPpksa ls dfg, fd os nqdkunkj ls oLrq,¡ [kjhnsaA oLrq,¡ [kjhnrs vkSj csprs le;] cPpsla[;kvksa ij tksM+us] ?kVkus vkSj xq.ku dh lafozQ;k,¡ djsaxsA
fozQ;kdyki
26/04/2018
xf.kr
izs{k.kizR;sd cPpk uhps n'kkZ, vuqlkj Loa; viuk fcy rS;kj djsxk@djsxh &
var esa cPps ;g fglkc djrs gSa fd izR;sd osQ ikl vc fdruh èkujkf'k cph gSA
vuqiz;ksx1- ;g fozQ;kdyki fo|kfFkZ;ksa esa fofHkUu izdkj osQ djsalh uksVksa dh le> fodflr djus rFkk
budk ozQ; vkSj foozQ; esa mfpr iz;ksx djus esa lgk;rk dj ldrk gSA
2- blh fozQ;kdyki dks mPprj èkujkf'k;ksa] tSls 500 vkSj 1000] osQ uksVksa dks ysdj Hkhfd;k tk ldrk gSA
3- ;g fozQ;kdyki fo|kfFkZ;ksa dks ;g tkuus esa Hkh lgk;rk dj ldrk gS fd 100 osQ fy, 10 okys fdrus uksVksa dh vko';drk gS] bR;kfnA
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
mís';fdlh la[;k osQ izlkfjr :i dks mlosQ lkekU; :i esa ifjofrZr djukA
vko';d lkexzh
l-isQn dkx”k] isafly] oSaQphA
jpuk dh fofèk1- ,d l -isQn dkx”k yhft, rFkk blesa ls leku ekiksa (eku yhft, 10 cm × 2 cm) dh
oqQN vk;krkdkj ifêð;k¡ (eku yhft, 20) dkV yhft, vkoQfr 1)A
vko`Qfr 1
2- izR;sd iê ðh dks eksM+dj pkj Hkkxksa esa foHkkftr dhft, (vkoQfr 2)A
vko`Qfr 2
izn'kZu1- pkj vadksa dh ,d ,slh la[;k yhft,] tks izlkfjr :i esa fy[kh gks]
tSls 2000 + 500 + 60 + 3
fozQ;kdyki
26/04/2018
xf.kr
fVIi.kh
2- 2000 dks lcls ckb± vksj okys Hkkx esa] 500 dks mlls vxys Hkkx esa] 60 dks mlls vxysHkkx esa rFkk 3 dks vafre Hkkx esa fyf[k,] tSlk vkoQfr 3 esa n'kkZ;k x;k gSA
vko`Qfr 3
3- iê ðh dks uhps n'kkZ, vuqlkj eksfM+, (rkfd 0 fn[kkbZ u ns) (vkoQfr 4)A
vko`Qfr 4
bl izdkj cuh la[;k 2563 gSA
izs{k.kozQe la[;k izlkfjr :i la[;k
1 2000 + 500 + 60 + 3 2563
2 7000 + 800 + 70 + 1
3 4000 + 100 + 60 + 3
4 5000 + 200 + 40 + 9
. . .
. . .
. . .
vuqiz;ksx1- bl fozQ;kdyki dk iz;ksx fdlh la[;k dks mlosQ izlkfjr :i esa fy[kus rFkk foykser% fy[kus
esa fd;k tk ldrk gSA
2- bl fozQ;kdyki dk mi;ksx fdlh la[;k esa fofHkUu vadksa osQ LFkkuh; ekuksa dh le> dksfodflr djus esa fd;k tk ldrk gSA
bl fozQ;kdyki dk iz;ksx mUgha la[;kvksa osQ fy, fd;k tk ldrk gS] ftuosQ vad'kwU;srj gksaA
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
mís';v¡kdM+kas dk laxzg djuk] çnf'kZr djuk rFkk mudh O;k[;k djukA
vko';d lkexzh
rhu pkd osQ fMCcs] oaQdM+] cVu] xksan] dkx”k] isafly] bR;kfnA
jpuk dh fof/1- dkx”k dh ifpZ;ksa ij fdUgh rhu iQykasa (eku yhft, osQyk] lsc vkSj larjk) osQ uke
iFkd&iFkd :i ls fyf[k,A
2- bUgsa rhuksa pkWd osQ fMCcksa ij fpidkb, (,d iphZ ,d fMCcs ij) (ns[ksa vkÑfr 1)A
vkÑfr 1
3- d{kk osQ gj fo|kFkhZ dks ,d oaQdM+@cVu nhft,A
4- pkWd osQ fMCcksa dks est ;k -iQ'kZ ij j[kk tk ldrk gSA
çn'kZu1- çR;sd fo|kFkhZ ls dfg, fd og viuk oaQdM+@cVu ml pkd osQ fMCcs esa] viuh ckjh vkus
ij Mkys ftl ij mlosQ euialn iQy dh iphZ fpidh gqbZ gSA
fozQ;kdyki
26/04/2018
xf.kr
2- f'k{kd d{kk osQ fdUgha rhu fo|k£Fk;ksa ls dg ldrk gS fd çR;sd fMCcs esa oaQdM+ksa@cVuksa dksfxus vkSj mudh la[;k ';keiêð ij fy[ksA
3- f'k{kd muls uhps nh gqbZ ,d lkj.kh cukus dks dg ldrk gS&
euilan iQy fo|k£Fk;ksa dh la[;k
––––
––––
––––
oqQy ––––
4- bl çdkj] ,d d{kk osQ fo|k£Fk;ksa osQ euilan iQyksa osQ vk¡dMs+ laxzfgr gks tkrs gSaA
çs{k.k1- igys fMCcs esa oaQdM+ksa dh la[;k = ________A
2- nwljs fMCcs esa oaQdM+ksa dh la[;k = ________A
3- rhljs fMCcs esa oaQdM+ksa dh la[;k = ________A
4- vf/dre oaQdM+@cVu = ________ fMCcs esa gSaA
5- vf/dre fo|k£Fk;ksa dk euialn iQy = ________ gSA
6- fo|k£Fk;ksa dk lcls de ilanhnk iQy = ________ gSA
7- rhuksa fMCcksa osQ oqQy oaQdM+ksa@cVuksa dh la[;k = ________ gSA
8- d{kk esa fo|k£Fk;ksa dh oqQy la[;k = ________ gSA
9- D;k d{kk dk dksbZ ,slk fo|kFkhZ gS] ftlus vius euialn iQy osQ ckjs esa oqQN O;Dr ugha fd;k gS\
vuqç;ksx1- blh çdkj dk fØ;kdyki fofHkUu [ksyksa@fo"k;ksa dh ilan] ifjokj esa lnL;ksa dh la[;k bR;kfn
ls lacaf/r vk¡dM+ksa dks laxzfgr djus osQ fy, Hkh fd;k tk ldrk gSA
2- fo|k£Fk;ksa dks Åij fn, izs{k.kksa ls lkj.kh dks Hkjus osQ fy, dgk tk ldrk gSA
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
vko`Qfr 1 vko`Qfr 2
mís';la[;kvksa 2] 3] 4] 5] ---] 9 osQ xq.kt Kkr djukA
vko';d lkexzh
xÙkk] eksVk pkVZ isij] :yj] isafly] jcM+] LosQp isu] dVj]bR;kfnA
jpuk dh fofèk1- ekiu 12 bdkbZ × 12 bdkbZ dk ,d xÙkk yhft,A
2- ,d pkVZ isij ij 10 bdkbZ × 10 bdkbZ ekiu dk ,d oxZ cukb, rFkk bls yackbZ vkSj pkSM+kbZosQ lekarj js[kk,¡ [khapdj bdkbZ oxks± esa foHkkftr dhft,A bldh 6 izfrfyfi;k¡ cukb,A
3- ,d izfrfyfi esa bdkbZ oxks± osQ vanj 1 ls 100 rd dh la[;k,¡ fyf[k,] tSlk fd vkoQfr1 esa n'kkZ;k x;k gS rFkk bls xÙks ij fpidkb,A
fozQ;kdyki
26/04/2018
xf.kr
vko`Qfr 3 vko`Qfr 4
vko`Qfr 5 vko`Qfr 6
4- pj.k 2 esa izkIr gqbZ 6 izfrfyfi;ksa esa ls ,d vkSj izfrfyfi yhft, rFkk vkoQfr 2 esa n'kkZ,vuqlkj ,d oxZ NksM+rs gq,] Nsn dhft,A
5- vU; izfrfyfi;ksa esa] vkoQfr 3 ls 6 esa n'kkZ, vuqlkj ozQe'k% 2 oxZ] 3 oxZ] ------ NksM+rs gq,Nsn dhft,A
izn'kZu1- (i) vkoQfr 2 osQ oxZ dks vkoQfr 1 osQ oxZ ij jf[k,A
(ii) Nsn] 2 osQ xq.ktksa 2] 4] 6] 8] 10] 12] 14 ------ dks n'kkZ,¡xsA
26/04/2018
iz;ksx'kkyk iqfLrdk µ izkjafHkd Lrj
2- (i) vkoQfr 3 osQ oxZ dks vkoQfr 1 osQ oxZ ij jf[k,A
(ii) Nsn] 3 osQ xq.ktksa 3] 6] 9] 12] ------ dks n'kkZ,¡xsA
3- blh izdkj] vkoQfr 4] vkoQfr 5] vkoQfr 6] ------ osQ oxks± dks vkoQfr 1 osQ oxZ ij jf[k,]ftlls ozQe'k% 4] 5] 6 osQ xq.kt izkIr gksrs gSaA
izs{k.kla[;k 2 3 4 5 6 7 8 9
xq.kt 2, 4, 6,
8, 10,
12, ...
vuqiz;ksx1- ;g fozQ;kdyki la[;kvksa osQ lkoZ xq.ktksa dks Kkr djus osQ fy, mi;ksxh gSA mnkgj.kkFkZ 2]
3 vkSj 4 osQ lkoZ xq.ktksa dks Kkr djus osQ fy,] vkoQfr 2] vkoQfr 3 vkSj vkoQfr 4 osQ oxks±dks vkoQfr 1 ij jf[k,A buosQ Nsn 2] 3 vkSj 4 osQ lkoZ xq.kt] tSls 12] 24] 36] 48] 60]72] 84] 96 iznf'kZr djsaxsA buesa lcls NksVk xq.kt 12 gSA
2- ;g fozQ;kdyki la[;kvksa dk y-lk-fo- Kkr djus osQ fy, Hkh iz;ksx fd;k tk ldrk gSAmnkgj.kkFkZ Åij 2] 3 vkSj 4 dk lcls NksVk lkoZ xq.kt 12 gSA ;g 2] 3 vkSj 4 dky-lk-fo- gSA
26/04/2018