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286 Ασκήσεις Α Γυμνασίου Σωκράτης Ρωμανίδης Α ΓΥΜΝΑΣΙΟΥ 1. Nα υπολογισθεί το άθροισμα - 207 – 206 – 205 – 204 - …….+ 196 + 197 + 198 + 199 + 200 2. Να υπολογισθούν οι τιμές των παραστάσεων Α = (4 2 – 3 2 ) : 7 + (6,4 – 5)∙ Β = . και στη συνέχεια να υπολογίσετε την τιμή της παράστασης Α 2 + Β 2 + Α + Β + 1 . 3. Στο διπλάσιο ενός αριθμού προσθέτουμε το 5 και βρίσκουμε 17. α) Ποια από τις παρακάτω 4 ισότητες περιγράφει με εξίσωση , την παραπάνω πρόταση ; Α. 5.2 + χ = 17 Β. 5 + χ +2 = 17 Γ. 5χ + 2 = 17 Δ. 2χ + 5 = 17 β) Ποιος από τους παρακάτω αριθμούς επαληθεύει την ισότητα που βρήκατε Α. 7 Β. 10 Γ. 3 Δ. 6 4. Υπολογίστε την τιμή της παρακάτω αριθμητικής παράστασης όταν α = 4 , β = 3 , γ = 10 Π = α 3 + β 3 + 2γ 3 – (α – β )(α 2 + β 2 – αβ) + 3

286 Ασκήσεις - Α Γυμνασίου

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Ασκησεις μαθηματικων Α γυμνασιου..σταση για εμπεδωση (βοηθαει πλ στις εξετασεις :-)

Text of 286 Ασκήσεις - Α Γυμνασίου

3600

286

1. N

- 207 206 205 204 - .+ 196 + 197 + 198 + 199 + 200

2. = (42 32) : 7 + (6,4 5)

= .

2 + 2 + + + 1 . 3. 5 17.

) 4 , ;

. 5.2 + = 17 . 5 + +2 = 17 . 5 + 2 = 17 . 2 + 5 = 17

)

. 7 . 10 . 3 . 6

4.

= 4 , = 3 , = 10

= 3 + 3 + 23 ( )(2 + 2 ) + 3

5. 199 9 . 12 . (... 2000 2001)

6. 5 m2 . .

7. 300 . . 90 .

.

) . 30 . .

) .

) .

8. 5 3 cm. 9 cm , 5cm , 3 cm.

9. .

, .

0,18 dm2, cm.

10. 11.

.

11. 2016 2003. .

12. 360 , 540 900 .

1) 2) , ;

13. 1968 . , 5655. . .

14. 63 7 7 7 7 ;

15. . 2 .

100 , .

16. 1 = 23 32 + + 1 = 1 1 = 33 4 + 1 = 2 1 1 .

17. 40% 40 40% . ;

18. 5 3 9,5 , 3 5 10,5 . .

19. 40% 200 ;

20. : 1900 + . ;

21. = 52 - 233 , = 72 - 62 = 102 - 3252 = 2007 + 20 (3,8 62) + 30,001 .

22. 2 = 22 1 = 2 - , = 2( + ) 2 ,

3 = (3 + 6): 13 .

23. 2 + = 10 = 2 , .

24. 36 7 2 1105 ,

1) 2) 50 ;

25. 3 , , . , , . , . .

26. = 900 , = 250 , = 65

= 90 , = 40 , = 50

. . ;27. = 60 = 30. , .) . ) .28. 5 cm = 60 . .29. 39 cm , 16 cm 3 cm , .

30. 1,2 dm. 1,6 dm , 31. , = 20 cm , = 42 cm = .32. 342 mm = 2 . . 33. ( = ) . 34. ,

35. ( = ) = . 36. = 30 . 37. 157 m 5 . ;38. , . 5 40 10% , , . 5 ;39. , 5 . ;40. : , ' . 10.000 ' . .41. ' 456,250 lt . 73 365 . ml ;42. 40% . ' 27% . .43. . , 10 kg, 7 kg 3 kg. 10 kg 10 kg. , ' . ( 5 kg 10 kg 5 kg 7 kg ) .

44. 16 m. 4 m 2 m. ;

45. ( = ) = 50. ) ) .46. ( = ) = 40. = . . , , . 47. = 40 . = 70 ,

.48. = 70 = 50. = . .49. = 70 = 50. . .50. . 300 m, .51. 6 m 4,5 m. 30 cm.

52. 12% 6720 . 8%.53. 20% . .54. 32 cm 60 cm2. , .

55. ( = ) . = 15 .56. = 20 cm , = 10 cm , AE = 10 cm , AH = 2 cm = 15 cm . N . 57. :

) 432

) (254316):8 58. .

.

59. = 5 = 3 , .

60. . 61. , , , = 400 . , ,, . 62. . .

63. :

)

) .

64. = 3 = 5 , : = 33 2( + ) + (5)0 - 71 .

65. = , , . , , , .

66. : )

) 316:9 = 272

67. .

, . 68. 3 = 10 , :

) 3 + 30

) 9 3 + 100 69. 1 . , , . 70. :

71. = 2 = 3 , : 3 32 + 32 3 .72. . , ,. 73. ( = ) . , = = .74. ' = 10 cm 3 cm. 5 cm. .

75. = 6 cm = 3 cm.

)

) ) = 2[(2+1)]3+-1.76. ( = 90) = 12 cm , = 5 cm = cm. .

77. 300% .78. ( = ) = 34 cm .

1) = .

) = 12 cm , .

79. = 22 , , : 1) = + 9

2 + ( + 2) = + + 1 3) + ( + ) = + 17 ) , ,

) , , , .

80. (3-1) + 3( + 5) = 41. = 2, .

81. .(6,) = 18, .

82. =3-132+ 44 = 1, = 22 = 23. ; 83. 7 , 10.84. , , = 12 + 3+ 18 6.85. , :1) 6.2) , 6 5.86. 11 Km 5,6 . ;

87. (1,1), (3,1), (3,4) (1,4). .88. 4 cm. :1) V1 .2) V2, .

89. . 90. 30 ml .) 120 ml ) 240 ml , 6 ;91. , (1) (2) . (1) 4,5 cm. (2);92. , . 1) , 7, 9 2) + = 48 , .93. , . .

94. ' (, ) 60.

) ( )

) , .

) .

) , .

95. 18 cm.

8 cm 12 cm , .

96. . = 60 = 50 ,

) .) , .97. . ) = ) ;98. 72.

1) 2)

3) ;

99. 60 cm = 15 cm = 20 cm .

)

) ) .

100. (, 6 cm) . . : ) ) )

) .101. ' 18. 1) .

2) 102. 42 cm 8 cm . 5 cm , .103. 26 cm . 11 cm 32 cm2, .104. . 1 = 12cm , 2 .105. . , . 106. . 24 cm 2 3 cm , .107. 60 cm 2 12 cm . 36 cm , .

108. 100 10 .109. 78. . 110. = 64 . , .

111. 12 18 .112. .113. .114. ) , , )

) 115. = (8,3 + 1,7): 0,4 = (14 - 7,75) 1,6) .6) = 2 - 2 , , ' .116. . 3 . 4 . 6 8 . , ) ) .117. ' // '. z' , z' //z . 118. = 72, = 40, = = . . 119. // , = 90 = 55. . 120.

( = ). = 40, , , .121. MP3 player 58 6% .... 20% , 100 ;122. 10 cm 96 cm2. 8 cm , .

123. .

124. . 18 cm , .125. = 138 cm , = 41 cm , = 43 cm , = 50 cm , = 16 cm , = 68 cm = 36 cm . N .

126. 24 cm2 6 cm 8 cm . .127. . 128. || , = 115 = 55. : 1) , , .2) 1 1 .129. ' = ', = ' = '. ' ' . .

130. . 131. = 10 m,

= = 4 m = = = = 8 m. .132. 100 + 5 100 2. .133. = 40:5 + 332-2-32+33-4-2 = (3 + 4)2-(27-4) + 2-(32-23)15+22 + + = 2006134. = (32 - 23) - (3 + 23) = 2(4-2)3:23 + (5-22):(3-2). 1) 2 = 2) .. (, ).135. N

1) 5 _ 8 3

2) 4 _ 8 _ 5 9 .

136. . .

137. = (3,4) = (6,9)

) ,

) = + (2 + 4) : 22 24 : 138. =

)

)

139. = =

= 6 + 2 .140. 16 cm . , . 141. = 7 cm . 4 cm. ;

142. = 7 cm. 1) 4 cm.2) 5 cm.3) 4 cm 5 cm .143. .1) 1 , .2) 1 = , = .144. = 3 cm , = 8 cm = 3 cm.

1) 2) , .

3) .

145.

1)

2) .

146. = 5 cm , = 60 = 4 cm.147. = 8 cm , = 5 cm = 45.

148. .

zt.149. , ,

1,3,5 .

150. 1||2 , , , .

151. || , + + = 360 . 152. = 8cm = 1,4 dm . N , .

153. , .154. 18 , .155. 42 20' , .156. 12 , .

157. .

.

158. = 2 , = 3, = 4 = 6 - 15. , , . 159. // . :

1) .2) .160. :

)

)

161. // , = , , = 38, , , 2 . 162. 1 , , . 1 , 2. 163. , = 68 . . 164. = , = 30 = 110 . . 165. , , =86 = 52 . , . 166. .

167. () . 1,6 dm2 8 cm , .

168. ' . 1) ,

2) .

3) .

169. . :

) .) .170. , = 6 cm , 20 cm = 24 cm2. :) ) .171. .

= , .172. .

.173. .

174. 80 . 5 ;

175. , , + 2 .

176. = 2 + 5 , = = 10 , .

177. 12 cm . .

178. ( ) .

)

) .179. . .

180. .

)

) .181. 120 cm2 8 cm . .182. 20 m 10 m . 0,2 m 280 . . : ) ) .183. . 184. 1 1 2 . . 185. ( = ) = 40. . :

1)

2) .186. . .

= = 140. .

187. .

.188. 1 3 . . 189. < . .

.190.

3 cm . 16 cm2 .191. 21cm2 . , 2cm 18cm, .

192. 5 cm , 30 cm 5 cm . 6 cm , .

193. ) 2, 3, 5, 9;

) 1845 4020 2, 3, 5, 9;

194. ) :

. ) = 3 - 3 + ( - )2 - ( + )( - ) , , .195. . . 800 , ;196. 75.000 . , , 25.000 .197. = 50 30 . , .198. 4500 .) 0,75 .) 20 , .199. ) . .) 90 . .200. = = (32 23)2007 , :

) + =

) = .

201. 8 , .202. = = , + , .

203. = , .

204. 64 cm . 10 cm , .

205. 5, 10, 20. : A = + .

206. = (42-8): 23 +(85)0,05 = (232 42):2 , : + = .207. + = 6 , :

= 3 + 2( + 4)- .208. + 2 3 3 1. .209. 153cm. 18cm , , .

210. 12 + 9 ) ) 3.211. , 5-4 = 26 2 + =10 : = (2-2):( -).

212. 20 cm = cm ,

)

) , 6 cm .

213. 2 1. .214. : = 2 - = 3 +

( + ) .

215. + 3 = 5 : 1) , 2) , 3)

216. ; 217. ) :

) ;) ;218. , , . + + = 7 :) ( + ) - ) , , .219. = 9dm , = 5dm = 600mm. . , , .

220. , , :

= ()2003 +2003 = ( + )

221. , , :

A =

222. 0 = 80 Kg . 20% 1.

1 10% 2 .

2 , 0.

) 1 .

) 2

) .

) .

223.

) 1.

) 1 2.

) , , .

224. 40% 60 g. 60% : ) 24 g) 36g ) 100 g ) 90 g225. 60% . 24 , : ) 40 ) 24 ) 120 ) 90

226. 8%. : ) 8 ) 0,8 ) 1,8 ) 1,08 227. 25x24. 25x30. : ) 20% ) 60% ) 40% ) 25%228. . 15% 5%, : ) 7,5% ) 9,5% ) 3,5% ) 20,5%229. . : ) 45%) 45% ) 37,5% ) 60%

230. 12.000 . , . 4 50.000 . ;231. 30 . 1.600.000 . 4.600.000 . ;232. : , , . 600 . .

233. , . . 100 , .

234. :

= (33 + 3)(23 7) + (23 + 2)2 + (33 - 37)

= (92 4): (5,52) + 63: (11,3 2,3) .

.. .. .

235. , 3,6 . , .

236. 5 2.000 . 25% , 30% 10% .

)

) .

237. 3600 . 600 , 800 , . 238. :

) = 2 2 + 3z , = 2 , = 3 z = 4

) = 2 2 + ()2 , = 2 , = 3 .

239. N , .

240. 20% . 2007 104.000 , 2004 . 241.

. 2 ,3 ,4 , ) ) ;

242. : , 20 30 ,

.243. 20 , 30 40

. .

.244. ,

32 .

.

245. 15% , 50% , 10% 10% . 450 , .

246. 15000 .

10% , 16 %

, . ) , ) .

247. 500 1 . 50 20% . 10% .

248. , 1, 2 3 . .249. 7 . . . . . ; ( )250. . . , . , .

) ; ) ;

251. , 0,5 , 1 1,5 . 2 .

) ) 252. . . 3 , . 6 . 8 1. 18 , ;

253. 1600 . 700 ., 400 . 500 . 4.000.000 . , .

254. 2.400.000 . 20% . 5.000 , 4.000 . 7.000 . , .

255. 3.000,000 . 5.000 000 , 6.500.000 . 8.000 000 . 13.800 000 ., .

256. 600.000 . . 16 , 14 10. .

257. 67.000 . , A 45m2 B 52m2 37m2 m2 .

258. 1280 3 . 32cm , 20 cm 16cm , . 259. 2 40 .

.

260. ' , . , 72.261. : ...(6, ) = 72.262. + = 16 + - 4

1) = + 2 +

2) = 3( + ) + 6263. , , = 4 + 6 , = 4( + 1) + 2 - 1 - 2 .

264. 6 .265. 1 480m2 , 0,11hm2 3,5dam2 . ;266. 3yrd ;

267. 9 , 12 18 . .268. 100g 8g , ) 350g ;) 4,5g ;269. = 0,2 = 1,5

) = 35- 6: +

) = 7( + )-7 -

) = ( + )2- (5-)270. + = 8 , = ( + ) + (32 23) + 32 271. = 2 = 7 = 3 : = 2+ 2 + 2 , = ( - ) 272. 650.000. 18%. , 10%.273. 30.000 . 8, 9, 11 12 , ;

274. 5 1650 , 1) 12 ;

2) 6.930 . ;275. . . ; . 276. 1 , 2 3cm . 1 2.277. (, ) . = = .278. 1 . 279. . . 280. (, ) (, .) . = = . 281. :1) = 3cm 2) . 282. 36cm 9cm . .283. .

284. . = . 285. . .

286. . 1 1 = . _1217579374.unknown

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