Model Paper for Class VIII Mathematics
UPS Half Yearly Examination in Rajasthan
v)Z okf’kZd ijh{kk
d{kk : 8
fo’k; : xf.kr
le; : 30 feuV Hkkx : v iw.kkZad : 15
ukekad ( vadks esa )............................................
( “kCnksa esa ).............................................
ijh{kk dk fnu o fnukad ......................................
funsZ”k : 1+ lHkh iz”u djuk vfuok;Z gSA
2 iz”u la[;k 1 ls 10 rd izR;sd ½ vad rFkk 11ls 20 rd izR;sd 1 vad fu/kkZfjr gSA
1. fuEu esa ls iw.kZ oxZ ls[;k ugha gS&
(v ) 2025 (c ) 441
(l ) 7928 (n ) 6889 ( )
2. 48 dks iw.kZ oxZ cukus ds fy, fdl lcls NksVh ls[;k ls xq.kk djuk iM+sxk\
(v) 2 (c) 3 (l )4 (n )12 ( )
3- ,d Vksdjh esa 15 lsc vkSj 5 larjs gS,rks larjksa dh la[;k dk lscksa dh la[;k ls vuqikr gksxk :
(v ) 1:3 (c )15:5
(l ) 3:1 (n )5:20 ( )
4- 3400 dk 20% gksxk :-
( v ) 340 ( c ) 680 ( l ) 20 ( n ) 2720 ( )
5. jSf[kd lehdj.k dk gy gks ldrh gS -
(v ) dksbZ Hkh izkd`r la[;k (c ) dksbZ Hkh ifjes; la[;k
(l ) dksbZ Hkh iw.kZ la[;k (n ) buesa ls dksbZ ugha ( )
6. x – 4 = 5 dk gy gksxk :-
(v ) 4 x 5 ( c ) 5 / 4 ( l ) 5 - 4 ( n ) 5 + 4 ( )
7- 3º dk eku gksrk gS :-
(v ) 0 (c ) 2 ( l ) 1 (n ) 3 ( )
8- { - 8 /3 }²³ esa ?kkrkad gS++ -
(v )3 (c ) 2 (l )23 (n ) 8 ( )
9. pkj Hkqtkvksa ls f?kjh leryh; vkd`fr dks dgrs gS : -
(v ) fod.kZ (c) prqHkqZt (l ) f=Hkqt (n ) o`r ( )
10- prqHkZt ds vkeus-lkeus ds “kh’kZ fcUnqvksa dks feykus okyh js[kk dks dgrs gSa –
(v ) fod.kZ (c ) vk/kkj (l ) yEc (n ) “kadq ¼ ½
11- gekjs ikl vf/kdrj miyC/k vk¡dM-s tks vlaxfBr :i esa gksrs gSa, ftUgsa .................dgk tkrk gSA
12- la[;k 18 ds ?ku ds bdkbZ dk vad ----------------------------------- gksxk A
13- ;fn x = 5 , y = 2 gks rks 3x² + 4xy + 2y² dk eku Kkr dhft,A
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14- ⅜ vkSj ½ dk ek/; Kkr dhft, A
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15- ;fn prqHkqZt ds fod.kZ ijLij lef}Hkkftr djrs gksa, rks og ]]]]]]]]]]]]]]]]]]]] gksrk gSA
16- ;fn ,d la[;k ds var esa rhu “kwU; gksa , rks mlds oxZ esa fdrus “kwU; gksaxs\ ]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]
17- 1 % 4 dks izfr”kr esa ifjofrZr dhft,A
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18- 2x – 3 = x + 2 dks gy dhft,A
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19- 729 dks ?kkrkad :i esa fyf[k,A
...............................................
20- vk;r ds izR;sd dks.k dk eku fyf[k,A
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v)Z okf’kZd ijh{kk
d{kk : 8
fo’k; : xf.kr
le; : 2 ?k.Vs Hkkx : c iw.kkZad : 35
uksV :-1. lHkh iz”u djus vfuok;Z gS A
2- iz”u la- 1 ls 10 rd izR;sd 2 vad rFkk 11 ls 15 rd izR;sd 3 vad dk gSA
1- vHkkT; xq.ku[k.M fof/k }kjk 15625 dk /kuewy Kkr dhft,A
2- og lcls NksVh la[;k Kkr dhft, ftlls 1188 dks Hkkx nsus ij og iw.kZ /ku la[;k cu tk,A
3- 12a – 9ab + 5b – 3 esa ls 4a – 7ab + 3b +12 dks /kVkb,A
4- ljy dhft, -
( x² - 5 ) ( x + 5 ) + 25
7
5- & dks la[;k js[kk ij fu:fir dhft,A
4
6- forjdrk ds mi;ksx ls fuEufyf[kr dk eku Kkr dhft, -
7 3 7 5
{ x ( - - )} + { - x - }
5 12 5 12
7- prqHkqZt ABCD dh jpuk dhft, ftlesa AB = 4.5 lseh-, BC = 5.5 lseh-, CD = 4 lseh-, AD = 6lseh- rFkk AC = 7 lseh- gSA
8- ,d le prqHkqt dh jpuk dhft, ftuds fod.kksZ dh yEckbZ 5.2 lseh- rFkk 6.4 lseh- gSA
9- varjkyksa 30 – 35, 35 – 40 bR;kfn dk iz;ksx djrs gq, ,d d{kk ds 20 fo|kfFkZ;ksa ds Hkkjksa (kg esa ) ds fy, ,d ckjEckjrk lkj.kh cukb, -
40, 38, 33, 48, 60, 53, 31, 46, 34, 36, 49, 41, 55, 49, 65, 42, 44, 47, 38, 39
10- tc ,d ikls dks Qsadk tkrk gS rc fuEufyf[kr izR;sd /kVuk ls izkIr gksus okys ifj.kkeksa dks fyf[k, -
(i) ,d vHkkT; la[;k
(ii) ,d le la[;k
11- fdlh ledks.k f=Hkqt ABC esa dks.k B = 90º , AB = 6 lseh-, BC = 8 lseh- gS rks AC Kkr
dhft,A
12- 8000 #i;s dk 2 o’kZ ds fy, 5% okf’kZd nj ls pØo`f) C;kt Kkr dhft, ;fn C;kt okf’kZd
la;ksftr gksrk gSA
13- nks la[;kvksa dk ;ksx 95 gSA ;fn ,d la[;k nwljh ls 15 vf/kd gS rks nksuksa la[;k,¡ Kkr dhft,A
14- a dk eku Kkr dhft, ftlds fy, 5ª » 5ˉ³ = 5² gSA
15- ,d le cgqHkqt dh Hkqtkvksa dh la[;k Kkr dhft, ;fn bldk izR;sd var%dks.k 165º dk gksA
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