PSEB 10th Mathematics model test paper

ftÙk rfDs d;thA (d{ik ;w?;No) ;wk L-3 xzN/e[Zb nze & 70 B'N L (1) ;ko/gqÙB jZb eoB/˜o{oh jB. (2) gqÙB 1 dk jo/e Gkr 1-1 nze dk j?. (3) gqÙB 2 s'A 13 sZe jo/e gqÙB d/3-3 nze jB. (4) gqÙB 14 s'A 17 sZe jo/e gqÙB d/6-6 nze jB. gqÙB L 1H (i) 5x ns/fJ; d/r[Dkswe T[bNeqw dk r[DBcb gsk eo'. (ii) x3 -8 d/r[DByzv pDkT[. (iii) tanq.cotq dk w[Zb gsk eo'. (iv) A (3, 4) ns/B (1, 6) Bz{ fwbkT[D tkb/o/ykyzv d/wZX fpzd{ d/fBod/Ù nze gsk eo'. (v) d' xksh ;wheoD 2x2 + 3x + 1 = 0 dk fv;feqwhB?AN (D) gsk eo'. (vi) x=2, d' xksh ;wheoD x2 -4 = 0 dk jZb j? iK BjhA. (vii) nze rfDfse bVh -6, -3, 0, 3, 6 HHHHHHHHHHHHHHHHHHHHHH dk ;kMK nzso gsk eo'. (viii) uZeo d/fJZe pkjoh fpzd{ s'A uZeo “s/fezBhnK ;goÙ o/yktK fyZuhnK ik ;edhnK jB< (ix) fdZs/fuZso ftZu x dk w[Zb gsk eo'. C D x A B (x) 1 xD dk feBkok 6 ;w j?. fJ; dk nkfJsB gsk eo'. [1 % 10 & 10 10] gqÙB L 2H d' xksh ;wheoD y2 – 6y + 2 = 0 d/w{b gsk eo'. gqÙB L 3H fe;/;zfynk ns/T[; d/T[bNeqw dk i'V 25 $ 12 j?. ;zfynk gsk eo'. iK d' xksh ;wheoD x2 – 3x -p = 0 ftZu p dk $ d/T[j w[Zb gsk eo', fi; $ fiBQK bJh ;wheoD w{b tk;sfte j' ikD. gqÙB L 4H T[j nzerfDfse bVh gsk eo' fi; dk gzitK gd 14 ns/B"tK gd 26 j?. gqÙB L 5H nzerfDfse bVh 2 + 6 + 10 + 14 + ………………………….. + 62 dk i'Vcb gsk eo'. gqÙB L 6H PQRS fJZe uZeoh ;wbzp us[oG[i j? fi; ftZu j?. i/eo Q=70° j't/sk ;wbzp us[oG[i d/pkeh fszB e'D gsk eo'. Q P 7070 S R iK fJZe uZeo Bz{ pkjo'A ÙgoÙ eodk j'fJnk fJZe us[oG[i PQRS j?. f;ZX eo' fe PQ + RS = PS + QR j?. gqÙB L 7H fJZe fsqG[i PQR dh ouBk eo' fi; ftZu QR = 6 ;?HwhL, P = 45° ns/wZfXek PS = 5 ;?HwhL j't/. 70° gqÙB L 8H 5 ;?HwhH noX ftnk; tkb/fJZe r'b/Bz{ fgxbk e/20 ;?HwhL T[ukJh tkbk fJZe Ùze{ pDkfJnk frnk j?. Ùze{ d/nkXko dk noX ftnk; gsk eo'. iK fJZe xDkt nkeko N?Aeh dk wkg 28 whH % 16 whH % 11whH j?. T[; f;bzvokeko N?Aeh dh T[ukJh gsk eo' fi;d/nkXko dk noX ftnk; 28 whH j't/ns/;woEk xDkt neko N?Aeh d/pokpo j?. gqÙB L 9H 45 ;?HwhH T[ukJh tkbh pkbNh d/f;fonK d/ftnk; 56 ;?HwhH ns/14 ;?HwhH jB. pkbNh dh XkoB ;woEk gsk eo'. gqÙB L 10H ;e{b d/fJZe pZu/d[nkok fe;/fdB nbZr-nbZr rshftXhnK ftZu pshs ehs/rJ/xzfNnk dh frDsh fJ; soQK j?LTTgo'es nzefVnK Bz{ r'b BeÙ/ftZu do;kT[. gqÙB L 11H j/mK fdZs/nzeV/fe;/iwks d/ftfdnkoEhnK d/gqhfynk ftZu gqkgs nzeK Bz{ do;kT[Ad/jB. nfrnks pkozpkosk gsk eo' i/eo fJBQK nzefVnK dk wZXwkB 2H8 j't/. nze 5 15 25 35 45 55 ftfdnkoEhnK dh frDsh 12 18 -20 17 06 gqÙB L 12H dZ; pZfunK dk wjhBktko i/p you dk wZXwkB 348 o[gJ/j? sK x dk w[Zb gsk eo' i/eo T[BQK dk nbZr-nbZr wjhBktko i/p you (o[gfJnk ftZu) j/m fds/nB[;ko j't/. 297, 310, x, 415, 380, 333, 305, x -50, 376 ns/400H rshftXh ;e{b BhAd xo dk ezw y/vDk j'o i'V pshs ehs/xzN/7 8 4 2 3 24 gqÙB L 13H 52 gZfsnK dh skÙ dh r[ZNh ftZu'A fJZe gZsk fyfunk frnk j?. ;zGktBk gsk eo' fe fyfunk gZsk (i) gkB (ii) p/rw (iii) j[ew dk r[bkw W [3 % 12 & 36 36] gqÙB L 14H fe;/ukg d[nkok e/Ado s/pDkfJnk e'D T[; ukg d[nkok uZeo d/pkeh fjZ;/”s/;fEs fe;/fpzd{ s/pD/e'D dk d[rDk j[zdk j?. iK i/eo d' uZeo fJZe d{;o/Bz{ nzdo{Bh iK pkjoh ÙgoÙ eod/j'D sK ÙgoÙ fpzd{ T[BQK d/e/AdoK Bz{ fwbkT[D tkbh o/yk 's/;fEs j[zdk j?, f;ZX eo'. gqÙB L 15H Xosh T[Zgo fe;/fpzd{ s'A fJZe whBko d/f;yo dk T[ukD e'D 30° j?. fJ; fpzd{ s'A 40 whNo whBko tZb uZbD s/whBko d/f;yo dk T[ukD e'D 45° j' iKdk j?. whBko dh T[ukJh gsk eo'. gqÙB L 16H 9 whNo dh e[Zb T[ukJh tkbk fJZe eZgV/dk szp{ , 3 whNo noX ftnk; tkb/nXko ns/5 whNo T[ukJh tkb/f;bzvo T[Zgo ;wkB nXko tkb/Ùze{ Bz{ i'V e/pDkfJnk frnk j?. 50 o[gJ/gqsh torwhNo dh do Bkb szp{ Bz{ bZr/eZgV/dk w[Zb gsk eo'. iK Xks{ d/pD/fJZe r'bkeko y'b dk pkjoh noX ftnk; 5 ;?Hwh ns/nzdo{Bh noX ftnk; 3 ;?Hwh j?. i/eo 1 ;?HwhH Xks{ dk g[zi (Gko) 11H4 rqkw j't/sK r'bkeko y'b dk g[zi (Gko) gsk eo'. gqÙB L 17 pbokw dh e[Zb ;kbkBk nkwdB 3,75000 o[gJ/j?. T[j 5000 gqsh wjhBk nkgD/GftZy fBXh yks/ftZu iwK eotkT[Adk j?. T[; B/fJ; ;kb d"okB 20,000 o[gJ/d/okÙNoh pZus gZso yohd/ns/25000 o[gJ/ihtB phwk d/gqhwhnw d/o{g ftZu iwK eotkJ/jB. T[; dk pDdk nkwdB eo gsk eo'. B'N L (i) pZusK ”s/fJZe ftZsh ;kb bJh tZX s'A tZX 1,00,000 o[gJ/sZe dh pZus T[Zs/nkwdB eo dh S'N j?. (ii) nkwdB eo dhnK doK 1,50,000 o[L sZe e'Jh eo BjhA 1,50,001 s'A 300000 o[L sZe 150000 o[L s'A tZX okÙh dk 10% 3,00,001 o[L s'A 5,00,000 o[L sZe (15000 o[L O 3,00,000 o[L s'A tZX okÙh dk 20 %) (iii) f;Zfynk T[Zg eo = 3% [6 % 4 & 24 24]