Nội dung text Grade 10 CB - Book Answers.pdf
Page 2 7 10 7 10 ka 5 7 7 10 × 5 7 1 2 88. a) i) 1 9 ii) 11 12 b) i) 12 35 ii) 70 89. 5l 90. a) 7 8 b) i) 4 10 = 2 5 ii) 7 10 iii) re' 200 000 91. I) 2 9 + 1 2 = 4+9 18 = 13 18 ii) b;sr s Nd.h = 1 − 13 18 = 5 18 iii) 13 18 + 1 18 iv) mrs;Hd. l< u qo, = 20 000 × 9 2 = re' 90 000 ∴ 5 18 × 1 5 = 1 18 = 4 18 = 7 9 92. i) 4 10 ii) 90l 93. i) 1 4 + 1 6 = 3+2 12 = 5 12 ii) 150 × 5 12 = 360 iii) 30 60 fyd a 1 6 ;=,H Nd.hl a iv) mß;Hd. l< yd wi,ajeishdg ÿka Nd.h= 5 12 + 1 6 = 7 12 úl =KQ Nd.h = 5 12 × 3 5 = 1 4 94. i) 1 10 + 1 4 ii) b;sß fldgi = 20 20 − 7 20 = 13 20 2+5 20 = 7 20 we`ÿï fiaoSug .kakd ,o fldgi = 13 20 × 4 13 iii) Ndú;d l< fldgi = 7 20 + 1 5 = 7+4 20 = 11 20 iv) u q¿;ekaf.h i`oyd Ndú;d l< fldgi = 9 20 − 1 4 m sÍ we;s fldgi = 20 20 − 11 20 = 9 20 gexlsfha Odß;dfjka 1 5 = 500l ∴ Odß;dj = 2500l 95. i) 1 − 1 6 = 5 6 ii) 1 6 × 1 3 = 3 6 = 1 2 iii) 3 5 × 1 3 = 1 5 5 6 × 2 5 = 2 6 = 1 3 w; b;sß = 1 − 1 2 = 1 2 1 2 × 1 3 = 1 6 1 5 − 1 6 = 40 000 6 − 5 30 = 40 000 1 30 = 40 000 u q¿ uqo, = 40 000 × 30 = re' 1 200"000 96. i) 1 − 7 15 = 8 15 ii) 8 15 × 1 4 iii) b;srs Nd.h = 1 − ( 7 15 + 2 15) iv) jev m %udKh = ñk sia osk 4 × 3 = 2 15 = 6 15 osk 2 lg wjYH ñksiqk a .Kk = 4×3 2 = 6 ∴ wjYH jeämqr ñksiqk a .Kk = 2 ldKqfõ os. = 600 × 15 6 = 1500m 97. i) 99. i) ii) iii) o aúmo m%ldYk 100. 6a2 + 5ab − 6b2 101. 3 − 2x + 2y 102. 6x2 + 5xy − 6y 2 103. x 2 − 4x + 4 104. −x + 3y 105. 2 − 2x 2 106. 15 107. 25 4 108. 12n − 21 109. x 2 + 1 x 2 = 7 110. x+3 (x−1)(x+1) 111. −6x2 + 11x + 10 112. 1 113. 12x 2 − 13x − 14 114. 10x 2 + x − 2 115. x 3 + 27 116. 2x 2 + 3x − 2 117. 8 118. 6x − 2 119. 2(y + y) iy 2y + 2y 120. 6 121. 11y 1 2 − 1 5 = 5 − 2 10 = 3 10 × 5l = 3 2 l = 1 3 2 l 98. i) b;sßh = 1 − ( 3 10 + 5 10) = 1 − 8 10 = 2 10 = 1 5 ii) 2 5 + 3 8 16 + 15 40 = 31 40 ii) 39 40 + 1 3 = 6000 1 40 = 6000 3 1 40 = 2000 u q¿ jákdlu = re' 80000 3 4 – 2 5 = 15 − 8 20 = 7 20 3 4 ka 4 5 = 3 4 × 4 5 = 3 5 1500 × 3 5 = 300 × 3 = 900 ml 6 ùÿre 1 = 150 ml
Page 4 1 2 πr 2 = 1 2 × 22 7 × 14 × 14 = 308 m2 AB × 14 = 308 AB = 308 14 ; AB = 22 m (iv) 1 2 × 22 7 × 28 = 44 m mßñ;sh = 44 + 14 + 44 + 14 = 116 m 28 + 28 + 2l = 116 2l = 116 − 56 2l = 60 2l = 30 m AC = 35CM 179. i) l =vd w3⁄4O jD;a; fofla os. = 44cm úYd, w3⁄4O jD;a;fha os. = πr = 77 7 × 14 = 44 cm ∴ úYd, w3⁄4O jD;a;fha mßêhg iudk fõ' 180. i) EF jD;a;fha úIalïNh ksid ii) w3⁄4O jD;a;fha j3⁄4.M,h = 1 2 × πr 2 EB = 2m = 1 2 × 22 7 × 2 × 2 ∴ AE = 8 − 2 = 6m = 44 7 = 6 2 7 m2 AEFD j'M = 6 × 4 = 24m2 iii) AD me;af;ys m s`.ka .fvd,a osla w;g m sysgk fia iú l< hq;=h' thg fya;=j jk qfha AD = 4 = 400cm' 50cm b;sß ke;=j fnfok fyhsk s' iv) wjYH .fvd,a ixLHdj = 600×400 50×30 = 2400 15 = 160 181. i) oe,a mkaÿ msáfha mßñ;sh = 30 + 30 + 15 + 15 = 90m jD;a;fha wrh = 15m−(2×2.6m) 2 ii) oe,a mkaÿ m sáfha j3⁄4.M,h = 30cm × 15cm = 450cm2 = 4.9m iii) iv) w3⁄4O jD;a;fha j3⁄4.M,h = 2 × 1 2 πr 2 = 22 7 × 4.9 × 4.9 = 75.46 m2 f.d a, lj yer m sáfha j'M = 450 − 75.46 = 374.54 m2 182. i) WoHdkfha mßñ;sh = 84 × 2 + 56 + 28 × 2 + 1 4 × 2 × 22 7 × 28 = 324m ii) wjYH úÿ, s myka lKq .Kk = 324 6 = 54 iii) WoHdkfha j3⁄4.M,h = 84 × 56 + 1 4 × 22 7 × 28 × 28 = 4704 + 616 = 5320 m2 iv) BCXY ys j3⁄4.M,h = 5320 10 = 532 m2 BC = 18 cm k sid CX = 532 28 = 19m ∴ fmdl =fKa m<, = 19m 183. i) 1 2 × 14 × 14 = 98cm2 ii) 1 4 × 22 7 × 14 × 14 = 154 cm2 iii) AQC j3⁄4.M,h = 154 − 98 AQC j3⁄4.M,h = 2 × 56 = 112cm2 iv) 2 × 22 7 × 14 v) 29. 2.2 5.5 fyd a 176 5.5 fyd a 4.4 5.5 mßñ;sh = 2 × (2 × 22 7 × 14) = 176cm2 184. i) 1 8 × 22 7 × 14 × 14 = 14m2 185. 77 + 49 = 126 cm2 186. i) CD pdm os. = 1 2 × 22 7 × 14 ii) u q¿ j'M = 1 2 × 22 7 × 7 × 7 + 1 2 (14 + 16) × 10 iii) m<, = 77 10 = 22 cm = 77 + 150 = 7.7 cm ∴ mr;r .Kk = 22 2 = 227cm2 fnd;a;ï .Kk = 1 187. 188. (i) BC = 14 m (ii) (iii) 189. (i) (ii) (iii) (iv) A D C B 50c 30cm 4m m 8m 4.9m 2. 6 2. 6 3 15 m 9.8m A P B C D Y B A F E D C X 19 m 84 m 1 8 × R = 1 4 × 7 R 8 = 7 4 R = 8×7 4 = 14 cm 21 + 35 + 1 2 × 22 7 × 28 56 + 44 = 100 m 1 2 × 22 7 × 14 × 14 = 308 m2 21 × x = 308 x = 308 21 x = 14.6 x = 14 2 3