6. Sınıf Heryerde Matematik

["10.\tPay\u0131, paydas\u0131ndan b\u00fcy\u00fck olan kesirlere \\\"bile\u015fik kesir\\\" denir. Bile\u015fik kesirleri say\u0131 do\u011frusunda g\u00f6stermek i\u00e7in kesir, \u00f6nce tam say\u0131l\u0131 kesre \u00e7evrilir. Tam say\u0131l\u0131 kesirler say\u0131 do\u011frusunda, tam k\u0131sm\u0131 ile tam k\u0131sm\u0131ndan bir sonraki say\u0131 aras\u0131nda bulunur. Bu aral\u0131k, kesrin paydas\u0131 kadar e\u015f par\u00e7aya b\u00f6l\u00fcn\u00fcr ve pay\u0131 kadar par\u00e7a ilerlenerek kesrin yeri bulunur. \u00d6rne\u011fin; 8 kesri, \u00f6nce tam say\u0131l\u0131 kesre \u00e7evrilir. 8 \u2192 1 2 olur. 6 66 1 1 2 2 6 Yukar\u0131da verilen bilgilere g\u00f6re 7 kesrinin say\u0131 do\u011frusunda g\u00f6sterimi a\u015fa\u011f\u0131dakilerin hangisinde do\u011fru verilmi\u015ftir? 3 A) 7 \u2001 B) 7 \u2001 0 3 1 1 3 2 C) 7 \u2001 D) 73 2 3 3 2 3 - ETK\u0130NL\u0130K 15 - A\u015fa\u011f\u0131da verilen sorular\u0131 yan\u0131tlay\u0131n\u0131z. a) Say\u0131 do\u011frusu \u00fczerinde 13 kesrini g\u00f6steriniz. b) Say\u0131 do\u011frusu \u00fczerinde 8 kesrini g\u00f6steriniz. 63 c) Say\u0131 do\u011frusu \u00fczerinde 11 kesrini g\u00f6steriniz. d) Say\u0131 do\u011frusu \u00fczerinde 26 kesrini g\u00f6steriniz. 58 11.\t a 1 1 b2 0c 1 0 Yukar\u0131daki say\u0131 do\u011frular\u0131nda verilen kesirlerin k\u00fc\u00e7\u00fckten b\u00fcy\u00fc\u011fe s\u0131ralan\u0131\u015f\u0131 hangi se\u00e7enekte do\u011fru verilmi\u015ftir? A) a < b < c\u2001 B) b < c < a\u2001 C) c < a < b\u2001 D) a < c < b 12.\tBir s\u0131n\u0131fta \u00c7anakkale, Kapadokya, Efes ve Amasra'ya gezi d\u00fczenlenecektir. \u00d6\u011frencilerin 1 '\u00fc \u00c7anakkale, 3 'i Kapadokya'ya, 48 1 's\u0131 Efes'e ve 5 '\u00fc Amasra'ya gidecektir. 6 24 Buna g\u00f6re en az \u00f6\u011frencini kat\u0131ld\u0131\u011f\u0131 gezi a\u015fa\u011f\u0131dakilerden hangisidir? A) \u00c7anakkale\u2001 B) Kapadokya\u2001 C) Efes\u2001 D) Amasra 6. S\u0131n\u0131f F\u00d6Y - 15","\u2022 Kesirlerle toplama ve \u00e7\u0131karma i\u015flemini yapar. 16. f\u00f6y 3378 1.\t - ETK\u0130NL\u0130K 16 - Paydalar\u0131 e\u015fit kesirlerde toplama i\u015flemi yap\u0131l\u0131rken A\u015fa\u011f\u0131da verilen i\u015flemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. paylar toplan\u0131r ve paya yaz\u0131l\u0131r. Ortak payda da so- nuca payda olarak yaz\u0131l\u0131r. a) 2 + 3 + 6 = .......... b) 5 + 11 + 3 = .......... \u00d6rne\u011fin; 2 + 5 i\u015fleminin sonucunu bulal\u0131m. 14 14 14 21 21 21 8 8 2 = 5 = 8 8 2 + 5 = (2 + 5) = 7 olur. c) 1 + 7 = .......... d) 4 + 2 + 3 = .......... 8 8 8 8 18 18 555 Verilen bilgiye g\u00f6re 3 + 4 i\u015fleminin sonucu ka\u00e7t\u0131r? 11 11 A) 7 \u2001 B) 7 \u2001 C) 7 \u2001 D) 1 17 22 11 11 2.\t 8 + 3 + 12 i\u015fleminin sonucu ka\u00e7t\u0131r? Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 22 22 22 A) 1 \u2001 B) 23\u2001 C) 23\u2001 D) 11 22 66 22 22 4.\t Paydalar\u0131 e\u015fit kesirlerde \u00e7\u0131karma i\u015flemi yap\u0131l\u0131rken paylar \u00e7\u0131kar\u0131l\u0131r ve paya yaz\u0131l\u0131r. Ortak payda da so- nuca payda olarak yaz\u0131l\u0131r. \u00d6rne\u011fin; 5 \u2212 2 i\u015fleminin sonucunu bulal\u0131m. 8 8 5 = 2 = 8 8 5 \u2212 2 = (5 \u2212 2) = 3 olur. 8 8 8 8 3.\t \u00c7etin, bu\u011fday ekmek i\u00e7in tarlas\u0131n\u0131 s\u00fcrecektir. \u00d6nce tarla- s\u0131n\u0131n 2 'unu, sonra 4 'unu s\u00fcrm\u00fc\u015ft\u00fcr. Verilen bilgiye g\u00f6re 11 \u2212 5 i\u015fleminin sonucu ka\u00e7t\u0131r? 99 22 22 Buna g\u00f6re \u00c7etin, tarlas\u0131n\u0131n ka\u00e7ta ka\u00e7\u0131n\u0131 s\u00fcrm\u00fc\u015ft\u00fcr? A) 5 \u2001 B) 6 \u2001 C) 2 \u2001 D) 6 A) 5 \u2001 B) 16\u2001 C) 6 \u2001 D) 6 9 18 9 9 22 22 44 22 F\u00d6Y - 16 6. S\u0131n\u0131f","5. 7 \u2212 5 i\u015fleminin sonucu ka\u00e7t\u0131r? 7. 3 6 + 5 12 i\u015fleminin sonucu ka\u00e7t\u0131r? 16 16 21 21 A) 2 B) 2 C) 12 D) 12 A) 8 6 B) 8 18 C) 2 2 D) 6 2 12 16 16 32 21 21 12 12 - ETK\u0130NL\u0130K 17 - A\u015fa\u011f\u0131da verilen i\u015flemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. a) 8 \u2212 3 = .......... b) 11 \u2212 5 = .......... 12 12 26 26 c) 14 \u2212 7 = .......... d) 8 \u2212 7 = .......... 8. 21 21 32 32 4 5 \u2212 2 3 i\u015fleminin sonucu bulal\u0131m. 77 Paydalar\u0131n e\u015fit olmas\u0131ndan dolay\u0131, tam k\u0131s\u0131mlar\u0131 kendi aras\u0131nda ve paylar kendi aras\u0131nda \u00e7\u0131kar\u0131l\u0131r. 4 5 \u2212 2 3 = (4 \u2212 2) 5 \u22123 = 2 2 olur. 77 77 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 Veya tam say\u0131l\u0131 kesirler, bile\u015fik kesre \u00e7evrilebilir. 4 5 \u2212 2 3 = 33 \u2212 17 = 33 \u2212 17 = 16 = 2 2 olur. 7 77 7 7 7 7 Verilen bilgiye g\u00f6re 5 8 \u2212 3 3 i\u015fleminin sonucu ka\u00e7- t\u0131r? 12 12 6. A) 2 11 B) 2 5 C) 3 3 D) 5 8 12 12 7 12 Paylar\u0131 e\u015fit olan tam say\u0131l\u0131 kesirlerde toplama veya \u00e7\u0131karma i\u015flemi yap\u0131l\u0131rken tam k\u0131s\u0131mlar kendi aras\u0131n- da, kesirler kendi aras\u0131nda toplan\u0131r veya \u00e7\u0131kar\u0131l\u0131r. Bi- le\u015fik kesre \u00e7evrilerek de i\u015flem yap\u0131labilir. \u00d6rne\u011fin; 2 2 + 4 3 i\u015fleminin sonucu bulal\u0131m. 77 Paydalar\u0131n e\u015fit olmas\u0131ndan dolay\u0131, tam k\u0131s\u0131mlar\u0131 kendi aras\u0131nda ve paylar kendi aras\u0131nda toplan\u0131r. 2 + 3 = (2 + 4) 2 + 3 5 77 7 7 Veya tam say\u0131l\u0131 kesirler, bile\u015fik kesre \u00e7evrilebilir. 2 + 3 = 16 + 31 = 47 = 6 5 olur. 7 77 7 7 7 Yukar\u0131da verilen bilgiye g\u00f6re 1 5 + 3 3 i\u015fleminin so- 10 5 12 12 9. 12 22 \u2212 5 22 i\u015fleminin sonucu ka\u00e7t\u0131r? nucu ka\u00e7t\u0131r? A) 4 2 B) 2 8 C) 5 5 D) 4 8 A) 5 5 B) 5 15 C) 17 5 D) 7 5 12 12 7 12 44 22 22 22 6. S\u0131n\u0131f F\u00d6Y - 16","- ETK\u0130NL\u0130K 18 - 12. 9 \u2212\t 2 i\u015fleminin sonucunu bulal\u0131m. A\u015fa\u011f\u0131da verilen i\u015flemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. 14 7 a) 3 10 \u2212 1 5 = ........ b) 12 9 \u2212 5 5 = ......... \u0130\u015flemi yapabilmek i\u00e7in paydalar\u0131 e\u015fitlememiz gere- 41 41 14 14 kir. 7 say\u0131s\u0131n\u0131, 2 ile geni\u015fletirsek 14'e ula\u015f\u0131r\u0131z ve pay- day\u0131 e\u015fitleriz. Bu durumda; 9 \u2212\t 2 = 9 \u2212 4 = 5 olur. 14 7 14 14 14 (2) c) 7 8 \u2212 5 5 = ........ d) 12 10 + 5 5 \u2212 5 7 = ........ 18 18 35 35 35 Buna g\u00f6re 3 \u2212 5 i\u015fleminin sonucu ka\u00e7t\u0131r? 8 24 A) 4 B) 4 C) 8 D) 2 8 24 24 24 10. 13. ( 3 \u2212 1 ) + 1 + 5 3 i\u015fleminin sonucu ka\u00e7t\u0131r? Paydalar\u0131 e\u015fit olmayan kesirlerde toplama ve \u00e7\u0131kar- 5 4 10 20 ma i\u015flemi yapabilmek i\u00e7in kesirler ayn\u0131 birim kesir cinsinden ifade edilmelidir. (Paydalar e\u015fitlenmelidir.) Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 A) 6 5 B) 5 17 C) 5 12 D) 6 12 Bu y\u00fczden geni\u015fletme veya sadele\u015ftirme i\u015flemi ya- 4 20 20 20 p\u0131larak kesirlerin paydalar\u0131 e\u015fitlenir. Daha sonra pay- lar toplan\u0131r \/ \u00e7\u0131kar\u0131l\u0131r ve paya yaz\u0131l\u0131r. Ortak payda da sonuca payda olarak yaz\u0131l\u0131r. \u00d6rne\u011fin; 8 +\t 3 i\u015fleminin sonucunu bulal\u0131m. 12 6 \u0130\u015flemi yapabilmek i\u00e7in paydalar\u0131 e\u015fitlememiz gere- kir. 6 say\u0131s\u0131n\u0131, 2 ile geni\u015fletirsek 12'ye ula\u015f\u0131r\u0131z ve payday\u0131 e\u015fitleriz. Bu durumda; 8 +\t 3 = 8 + 6 = 14 olur. 12 6 12 12 12 (2) Verilen bilgiye g\u00f6re 5 + 1 i\u015fleminin sonucu ka\u00e7t\u0131r? - ETK\u0130NL\u0130K 19 - 6 3 A) 1 B) 2 C) 7 D) 1 A\u015fa\u011f\u0131da verilen i\u015flemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. 3 12 6 12 a) 63 \u2212 1 = ........ b) 13 \u2212 1 = ........ 25 5 84 c) 8 + 1 = ........ d)\t 3 \u2212 7 = ........ 15 3 73 11.\tBurak\tbir\tkitab\u0131n\t\u00f6nce 3 'ini,\tsonra 2 '\u00fcn\u00fc\tokumu\u015ftur. e) 3 + 5 = ........ f)\t 23 + 1 = ........ 8 24 54 25 4 6. S\u0131n\u0131f Buna g\u00f6re Burak, bu kitab\u0131n ka\u00e7ta ka\u00e7\u0131n\u0131 okumu\u015ftur? A) 12 B) 11 C) 7 D) 13 24 24 24 24 F\u00d6Y - 16","14. - ETK\u0130NL\u0130K 20 - Bir do\u011fal say\u0131 ve bir kesirle toplama veya \u00e7\u0131karma i\u015f- A\u015fa\u011f\u0131da verilen i\u015flemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. lemi yap\u0131l\u0131rken do\u011fal say\u0131n\u0131n paydas\u0131na 1 yaz\u0131l\u0131r ve paydalar e\u015fitlenir. a) 12 \u2212 2 = ........ b) 5 + 2 = ........ 3 16 \u00d6rne\u011fin; 3 + 1 i\u015fleminin sonucunu bulal\u0131m. 4 c) 6 \u2212 3 = ........ d)\t 7 + 11 = ........ 5 21 3 + 1 \u2192 3'\u00fcn paydas\u0131na 1 yazd\u0131k ve daha sonra 14 (4) paydalar\u0131 e\u015fitlemek i\u00e7in 4 ile geni\u015fletece\u011fiz. Bu durumda 12 + 1 = 13 olur. 444 Verilen bilgiye g\u00f6re 5 + 2 i\u015fleminin sonucu ka\u00e7t\u0131r? e)\t10\t\u2212\t13 + 6 = ........ f)\t\t12\t+\t 2 \u2212 2 = ........ 6 94 36 A) 13 B) 28 C) 32 D) 32 6 6 6 3 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 16.\tEray\tbir\t\u015fi\u015fe\tsuyun\t\u00f6nce 1 'ini,\tsonra 2 '\u00fcn\u00fc\ti\u00e7mi\u015ftir. 84 Buna g\u00f6re \u015fi\u015fede suyun ka\u00e7ta ka\u00e7\u0131 kalm\u0131\u015ft\u0131r? A) 1 B) 2 C) 3 D) 7 8 4 8 8 15. 3 \u2212 2 i\u015fleminin sonucunu bulal\u0131m. 5 3 \u2212 2 \u2192 3'\u00fcn paydas\u0131na 1 yazd\u0131k ve daha sonra 15 (5) paydalar\u0131 e\u015fitlemek i\u00e7in 5 ile geni\u015fletece\u011fiz. Bu durumda 15 \u2212 2 = 15 \u2212 2 = 13 olur. 55 5 5 Buna g\u00f6re 5 \u2212 3 i\u015fleminin sonucu ka\u00e7t\u0131r? 17.\tBet\u00fcl\tparas\u0131n\u0131n 1 'u\tile\tkalem, 2 '\u00fc\tile\tkitap\talm\u0131\u015ft\u0131r. 4 93 Buna g\u00f6re Bet\u00fcl'\u00fcn paras\u0131n\u0131n ka\u00e7ta ka\u00e7\u0131 kalm\u0131\u015ft\u0131r? A) 23 B) 17 C) 12 D) 6 A) 2 B) 3 C) 4 D) 5 4 4 4 4 9 9 9 9 6. S\u0131n\u0131f F\u00d6Y - 16","\u2022 Ondal\u0131k g\u00f6sterimleri verilen say\u0131lar\u0131 \u00e7\u00f6z\u00fcmler. 20. f\u00f6y 3382 1. Ondal\u0131k g\u00f6sterimi verilen bir say\u0131n\u0131n basamak de\u011ferlerinin toplam\u0131 \u015feklinde yaz\u0131lmas\u0131na \\\"ondal\u0131k g\u00f6sterimlerde \u00e7\u00f6z\u00fcmle- me\\\" denir. \u00d6rne\u011fin; 6,358 ondal\u0131k say\u0131s\u0131n\u0131n \u00e7\u00f6z\u00fcmlenmi\u015f h\u00e2lini g\u00f6sterelim. Tam k\u0131s\u0131m Ondal\u0131k k\u0131s\u0131m 6 , 358 Birler basama\u011f\u0131 Binde birler basama\u011f\u0131 Onda birler basama\u011f\u0131 Y\u00fczde birler basama\u011f\u0131 6,358 = 6 + 0,3 + 0,05 + 0,008 = 6 x 1 + 3 x 0,1 + 5 x 0,01 + 8 x 0,001 =6x1 + 3x 1 + 5x 1 + 8x 1 10 100 1000 Verilen bilgiye g\u00f6re 4,182 ondal\u0131k say\u0131s\u0131n\u0131n \u00e7\u00f6z\u00fcmlenmi\u015f h\u00e2li a\u015fa\u011f\u0131dakilerin hangisinde do\u011fru olarak verilmi\u015ftir? A) 4\tx\t1\t\t+\t\t8\tx\t 1 \t\t+\t\t2\tx\t 1 \t\t+\t\t1\tx\t 1 B) 4\tx\t10\t\t+\t\t1\tx\t1\t\t+\t\t8\tx\t 1 \t\t+\t\t2\tx\t 1 10 100 1000 10 100 C) 4\tx\t1\t\t+\t\t1\tx\t 1 \t\t+\t\t2\tx\t 1 \t\t+\t\t8\tx\t 1 D) 4\tx\t1\t\t+\t\t1\tx\t 1 \t\t+\t\t8\tx\t 1 \t\t+\t\t2\tx\t 1 10 100 1000 10 100 1000 - ETK\u0130NL\u0130K 24 - 6. S\u0131n\u0131f A\u015fa\u011f\u0131da ondal\u0131k g\u00f6sterimleri verilen say\u0131lar\u0131 \u00e7\u00f6z\u00fcmleyiniz. a)\t\t27,59\t=\t...............................................\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\td)\t\t2,329\t=\t...............................................\t b) 42,383\t=\t...............................................\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\te)\t\t54,37\t=\t...............................................\t c)\t\t78,14\t=\t...............................................\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tf)\t\t238,86\t=\t...............................................\t F\u00d6Y - 20","2. 3\tx\t1\t\t+\t\t4\tx\t 1 \t\t+\t\t5\tx\t 1 \t\t+\t\t6\tx\t 1 10 100 1000 Yukar\u0131da \u00e7\u00f6z\u00fcmlenmi\u015f h\u00e2li verilen say\u0131n\u0131n ondal\u0131k g\u00f6sterimi a\u015fa\u011f\u0131dakilerden hangisidir? A) 3,456\t B) 34,56\t C) 345,6\t D)\t3,465 3. Basamak de\u011feri 0 olan basamaklar, \u00e7\u00f6z\u00fcmlemede yaz\u0131lmayabilir. \u00d6rne\u011fin; 4,025 say\u0131s\u0131n\u0131n onda birler basama\u011f\u0131 0 oldu\u011fun- dan, \u00e7\u00f6z\u00fcmlemesi \u015fu \u015fekildedir: 4,025 = 4 x 1 + 2 x 0,01 + 5 x 0,005 2\tx\t10\t\t+\t\t7\tx\t1\t\t+\t\t4\tx\t0,1\t\t+\t\t5\tx\t0,001 Yukar\u0131da \u00e7\u00f6z\u00fcmlenmi\u015f h\u00e2li verilen say\u0131n\u0131n ondal\u0131k g\u00f6sterimi a\u015fa\u011f\u0131dakilerden hangisidir? A) 27,45\t B) 27,405\t C) 2,745\t D)\t27,045 - ETK\u0130NL\u0130K 25 - 1. A\u015fa\u011f\u0131da \u00e7\u00f6z\u00fcmlenmi\u015f h\u00e2lleri verilen say\u0131lar\u0131 ondal\u0131k g\u00f6sterim ile ifade ediniz. a) 8\tx\t10\t\t+\t\t4\tx\t1\t\t+\t\t3\tx\t 1 \t\t+\t\t2\tx\t 1 \t=\t.................. d) 7\tx\t100\t\t+\t\t8\tx\t1\t\t+\t\t4\tx\t0,1\t=\t.................. 10 100 b) 2\tx\t10\t\t+\t\t6\tx\t 1 \t\t+\t\t5\tx\t 1 =\t.................. e) 6\tx\t1\t\t+\t\t3\tx\t0,1\t\t+\t\t7\tx\t0,01\t\t+\t\t9\tx\t0,001\t=\t.................. 10 1000 c) 3\tx\t1\t\t+\t\t9\tx\t 1 \t\t+\t\t1\tx\t 1 =\t.................. f) 5\tx\t100\t\t+\t\t8\tx\t0,001\t=\t.................. 100 1000 2. A\u015fa\u011f\u0131daki bo\u015fluklar\u0131 uygun \u015fekilde doldurunuz. Say\u0131 Y\u00fczler\t Onlar\t Birler\t , Onda\tBirler\t Y\u00fczde\tBirler\t Binde\tBirler\t 82,409 Basama\u011f\u0131 Basama\u011f\u0131 Basama\u011f\u0131 Basama\u011f\u0131 Basama\u011f\u0131 Basama\u011f\u0131 4,003 0 8 x 10 2x1 , 9\tx\t0,001 5 x 100 17,042 1 x 10 8x1 , 1\tx\t0,1 8\tx\t0,01 7\tx\t0,001 0 7x1 0 ,0 7 x 10 , 0 8\tx\t0,01 0 , 2\tx\t0,001 6. S\u0131n\u0131f F\u00d6Y - 20","4. Y\u00fcksek atlama, atletizmin bir dal\u0131d\u0131r. \u0130brahim,\tMehmet,\tMustafa\tve\tEnes\ty\u00fcksek\tatlama\tyar\u0131\u015fmas\u0131na\tkat\u0131lacaklard\u0131r.\tEn\ty\u00fcksek\tdereceye\tsahip\tolan\tsporcu,\tokulu- nu\ttemsil\tetmeye\thak\tkazanacakt\u0131r. 1,957\tm 2,036\tm 2,087\tm 2,081\tm \u0130brahim Mehmet Mustafa Enes Yukar\u0131da verilen y\u00fckseklikleri atlayan sporculardan, okulunu temsil etmeye hak kazanan\u0131n derecesinin \u00e7\u00f6z\u00fcmlenmi\u015f h\u00e2li a\u015fa\u011f\u0131dakilerden hangisidir? A) 1\tx\t1\t\t+\t\t9\tx\t 1 \t\t+\t\t5\tx\t 1 \t\t+\t\t7\tx\t 1 B) 2\tx\t1\t\t+\t\t3\tx\t 1 \t\t+\t\t6\tx\t 1 10 100 1000 100 1000 C) 2\tx\t1\t\t+\t\t8\tx\t 1 \t\t+\t\t7\tx\t 1 D) 2\tx\t1\t\t+\t\t8\tx\t 1 \t\t+\t\t1\tx\t 1 100 1000 100 1000 5. a. 3\tx\t1\t\t+\t\t7\tx\t 1 \t\t+\t\t5\tx\t 1 I. 37,05 10 100 II. 3,705 b. 3\tx\t1\t\t+\t\t7\tx\t 1 \t\t+\t\t5\tx\t 1 10 1000 III. 3,75 c. 3\tx\t10\t\t+\t\t7\tx\t1\t\t+\t\t5\tx\t 1 100 Yukar\u0131da verilen say\u0131lar ile \u00e7\u00f6z\u00fcmlenmi\u015f h\u00e2llerinin e\u015fle\u015ftirilmi\u015f \u015fekli \u015f\u0131klar\u0131n hangisinde do\u011fru olarak verilmi\u015ftir? A) a. B) c. C) a. D) b. I. I. I. I. II. b. II. b. II. c. II. a. III. c. III. a. III. b. III. c. 6.\t A\u015fa\u011f\u0131da\tbir\tondal\u0131k\tg\u00f6sterimin\t\u00e7\u00f6z\u00fcmlenmi\u015f\th\u00e2li\tverilmi\u015ftir. 4\uf048,1\uf06e7 = \uf073\t.\t10\t+\t5\t.\t1\t+\t\uf075\t.\t 1 \t\t+\t\t8\t. 1 \t\t+\t\t\uf06c\t. 1 10 100 1000 Buna g\u00f6re sembollerle g\u00f6sterilen yerlere yaz\u0131lmas\u0131 gereken rakamlarla yap\u0131lacak (\uf073 + \uf06c . \uf06e) \u00f7 (\uf048 \u2212 \uf075) i\u015flem dizisi- nin sonucu ka\u00e7t\u0131r? A) 10 B) 15 C) 22 D) 56 F\u00d6Y - 20 6. S\u0131n\u0131f","7.\t Bir ma\u011fazada sat\u0131lan A, B ve C marka cep telefonlar\u0131na ait fiyatlar, \u00fcr\u00fcnlerin yanlar\u0131nda verilmi\u015ftir. Verilen \u00fcr\u00fcnlerin fiyatlar\u0131n- daki baz\u0131 rakamlar silinmi\u015ftir. A marka B marka C marka 4 ,6 4, 6 4,6 Cep telefonlar\u0131n\u0131n fiyatlar\u0131n\u0131n \u00e7\u00f6z\u00fcmlenmi\u015f h\u00e2li a\u015fa\u011f\u0131da verilmi\u015ftir. A marka: 4 x 10 + 6 x 0,1 + 5 x 0,01 B marka: 7 x 10 + 4 x 1 + 5 x 0,1 + 6 x 0,01 C marka: 8 x 10 + 4 x 1 + 6 x 0,1 + 2 x 0,01 Verilenlere g\u00f6re bu \u00fcr\u00fcnlerin fiyatlar\u0131ndaki silinmi\u015f rakamlar a\u015fa\u011f\u0131dakilerden hangisinde do\u011fru olarak verilmi\u015ftir? A marka B marka C marka A) 7 ve 5 8 ve 2 0 ve 5 B) 7 ve 5 0 ve 5 8 ve 2 C) 0 ve 5 8 ve 2 2 ve 4 D) 0 ve 5 7 ve 5 8 ve 2 8.\t 4, 6 ,0 ve 7 rakamlar\u0131n\u0131 kullanarak 4 say\u0131s\u0131ndan b\u00fcy\u00fck, en k\u00fc\u00e7\u00fck say\u0131n\u0131n ondal\u0131k g\u00f6steriminin \u00e7\u00f6z\u00fcmlenmi\u015f h\u00e2li a\u015fa- \u011f\u0131dakilerden hangisidir? A) 6 x 1 + 4 x 1 + 0 x 1 + 7 x 1 B) 4 x 10 + 0 x 1 + 6 x 1 + 7 x 1 \u2001 10 100 1000 10 100 C) 4 x 1 + 0 x 1 + 6 x 1 + 7 x 1 D) 4 x 1 + 7 x 1 + 6 x 1 + 0 x 1 10 100 1000 10 100 1000 9.\t 2, 8, 3 ve 1 rakamlar\u0131n\u0131 kullanarak 3 say\u0131s\u0131ndan k\u00fc\u00e7\u00fck, en b\u00fcy\u00fck say\u0131n\u0131n ondal\u0131k g\u00f6steriminin \u00e7\u00f6z\u00fcmlenmi\u015f h\u00e2li a\u015fa- \u011f\u0131dakilerden hangisidir? A) 1 x 1 + 2 x 1 + 3 x 1 + 8 x 1 B) 2 x 10 + 8 x 1 + 3 x 1 + 1 x 1 \u2001 10 100 1000 10 100 C) 2 x 1 + 1 x 1 + 3 x 1 + 8 x 1 D) 2 x 1 + 8 x 1 + 3 x 1 + 1 x 1 10 100 1000 10 100 1000 6. S\u0131n\u0131f F\u00d6Y - 20","21. f\u00f6y \u2022 Ondal\u0131k g\u00f6sterimleri verilen say\u0131larla \u00e7arpma i\u015flemi yapar. \u2022 Ondal\u0131k g\u00f6sterimleri verilen say\u0131larla b\u00f6lme i\u015flemi yapar. 3383 1. Ondal\u0131k g\u00f6sterimi verilen iki say\u0131 \u00e7arp\u0131l\u0131rken \u00e7arpanlarda virg\u00fcl yokmu\u015f gibi d\u00fc\u015f\u00fcn\u00fcp, do\u011fal say\u0131larda oldu\u011fu gibi \u00e7arpma i\u015flemi yapar\u0131z. \u00c7arp\u0131m, \u00e7arpanlar\u0131n ondal\u0131k basamaklar\u0131n\u0131n say\u0131s\u0131n\u0131n toplam\u0131 kadar virg\u00fclle sa\u011f- dan sola yaz\u0131larak ayr\u0131l\u0131r. \u00d6rne\u011fin; 3,4 ile 2,7 ondal\u0131k say\u0131lar\u0131n\u0131 \u00e7arpal\u0131m. 3,4 Virg\u00fclden sonra 1 basamak Virg\u00fclden sonra 1 basamak x 2,7 Virg\u00fclden sonra 2 basamak 238 + 68 9,18 Buna g\u00f6re 6,2 ile 1,8 ondal\u0131k say\u0131lar\u0131n\u0131n \u00e7arp\u0131m\u0131n\u0131n sonucu ka\u00e7t\u0131r? A) 1,116\t B) 11,6\t C) 10,16\t D)\t11,16 2. A\u015fa\u011f\u0131da verilen i\u015flemlerinin hangisinin sonucu yan- 3. 0,27 + 0,27 + 0,27 + ......... + 0,27 l\u0131\u015ft\u0131r? 14 tane A) 4,2\tx\t2,1\t=\t8,82 B) 2,9\tx\t1,4\t=\t4,3 Yukar\u0131da verilen i\u015flemin sonucu ka\u00e7t\u0131r? C) 3\tx\t6,7\t=\t20,1 D) 5,3\tx\t6\t=\t31,8 A) 37,8\t B) 378 C) 3,78\t D)\t0,378 - ETK\u0130NL\u0130K 26 - A\u015fa\u011f\u0131da verilen i\u015flemleri do\u011fru sonu\u00e7lar\u0131 ile e\u015fle\u015ftiriniz. 1. 2,48\tx\t1,09 2. 7,1\tx\t12,21 3. 6,01\tx\t3 4. 4,12\tx\t5,03 a. 86,691 b. 18,03 c. 2,7032 d. 20,7236 F\u00d6Y - 21 6. S\u0131n\u0131f","4. Ondal\u0131k g\u00f6sterimi verilen iki say\u0131 birbirine b\u00f6l\u00fcn\u00fcrken tam say\u0131ya \u00e7evrilir. B\u00f6len say\u0131y\u0131, tam say\u0131ya \u00e7evirebilmek i\u00e7in virg\u00fcl ka\u00e7 basamak sa\u011fa kayd\u0131r\u0131l\u0131rsa b\u00f6l\u00fcnen say\u0131da virg\u00fcl o kadar sa\u011fa kayd\u0131r\u0131larak ondal\u0131k say\u0131lar tam say\u0131 yap\u0131- l\u0131r. \u00d6rne\u011fin; 7,2 b\u00f6lme i\u015flemini yaparken hem b\u00f6l\u00fcneni hem de b\u00f6leni tam say\u0131 yapmak i\u00e7in virg\u00fcl\u00fc birer basamak sa- 1,2 \u011fa kayd\u0131r\u0131r\u0131z. Yani 72 i\u015flemini elde ederiz ve do\u011fal say\u0131larda b\u00f6lme i\u015flemi yapar\u0131z. 72 = 6 sonucuna ula\u015f\u0131r\u0131z. 12 12 Verilen bilgilere g\u00f6re 10,8 i\u015fleminin sonucu ka\u00e7t\u0131r? 3,6 A) 3 B) 4 C) 6 D) 7 5. Ondal\u0131k g\u00f6sterimi verilen iki say\u0131 birbirine b\u00f6l\u00fcn\u00fcrken e\u011fer virg\u00fcl kayd\u0131racak basamak kalmad\u0131ysa say\u0131n\u0131n sonuna s\u0131f\u0131r (0) eklenir. Do\u011fal say\u0131larda b\u00f6lme i\u015flemi yap\u0131larak sonuca ula\u015f\u0131l\u0131r. \u00d6rne\u011fin; 4,5 b\u00f6lme i\u015flemini yaparken 1 virg\u00fcl kayd\u0131r\u0131rsak 45 i\u015flemine ula\u015f\u0131r\u0131z. Amac\u0131m\u0131z virg\u00fclden tamamen kur- 0,15 1,5 tulmak oldu\u011fu i\u00e7in b\u00f6l\u00fcnen say\u0131n\u0131n sonuna \\\"0\\\" ekleriz ve b\u00f6len say\u0131n\u0131n virg\u00fcl\u00fcn\u00fc sa\u011fa kayd\u0131r\u0131r\u0131z. Son olarak 450 i\u015fleminine ula\u015f\u0131p 450 = 30 sonucunu buluruz. 15 15 Buna g\u00f6re 0,8 i\u015fleminin sonucu ka\u00e7t\u0131r? 0,16 A) 2 B) 3 C) 5 D) 6 6. A\u015fa\u011f\u0131da verilen i\u015flemlerinin hangisinin sonucu yan- 7. 14,4\t\u00f7\t0,24 l\u0131\u015ft\u0131r? A) 2,4\t\u00f7\t0,2\t=\t12 B) 2,55\t\u00f7\t0,85\t=\t3 Yukar\u0131da verilen i\u015flemin sonucu ka\u00e7t\u0131r? C) 0,84\t\u00f7\t0,021\t=\t40 D) 25,2\t\u00f7\t1,2\t=\t210 A) 16 B) 60 C) 600 D) 6000 F\u00d6Y - 21 6. S\u0131n\u0131f","- ETK\u0130NL\u0130K 27 - A\u015fa\u011f\u0131da verilen i\u015flemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. b) 1,96 + 0,9 = ................... a) 7,2 \u2212 12,6 = .................. 0,14 0,3 0,24 2,1 c) 22,5 \u2212 0,96 = .................. d) 6,66 + 4,68 + 25,2 = .................. 0,25 0,08 2,22 1,3 4,5 8.\t Kemal Bey, manava 6 kg domates i\u00e7in 49,5 TL \u00f6deme 9.\t S\u00fct\u00e7\u00fc Ali Amca, s\u00fct\u00fcn 1 litresini 9,65 TL'den satmakta- yapm\u0131\u015ft\u0131r. d\u0131r. Buna g\u00f6re manavdaki 1 kg domates fiyat\u0131 ne kadar- Efe, S\u00fct\u00e7\u00fc Ali Amca'dan 11 litre s\u00fct ald\u0131\u011f\u0131na g\u00f6re top- d\u0131r? lamda ne kadar \u00f6deme yapm\u0131\u015ft\u0131r? A) 8,25\u2001 B) 8,3\u2001 C) 8,4\u2001 D) 8,75 A) 20,65\u2001 B) 10,615\u2001 C) 106,15\u2001 D) 1061,5 A\u015fa\u011f\u0131daki tabloya g\u00f6re 10 ve 11. sorular\u0131 cevaplay\u0131n\u0131z. A\u015fa\u011f\u0131daki tabloda Mert'in kasaptan ald\u0131\u011f\u0131 \u00fcr\u00fcnlerin kilogram fiyatlar\u0131 ve sat\u0131n al\u0131nma miktarlar\u0131 verilmi\u015ftir. Tablo: Kasapta Bulunan \u00dcr\u00fcnlerin Fiyatlar\u0131 ve Sat\u0131n Al\u0131nma Miktarlar\u0131 \u00dcr\u00fcnler Kilogram Fiyat\u0131 (TL) Sat\u0131n Al\u0131nan Miktar (kg) Tavuk 44,5 1,4 120 0,8 Et 10.\tMert'in kasapta yapt\u0131\u011f\u0131 toplam harcama ne kadard\u0131r? A) 62,3\u2001 B) 63\u2001 C) 158,3\u2001 D) 164,5 11.\tMert 200 TL verdi\u011fine g\u00f6re ne kadar para \u00fcst\u00fc al\u0131r? A) 33,5\u2001 B) 41,7\u2001 C) 104\u2001 D) 137,7 6. S\u0131n\u0131f F\u00d6Y - 21","12.\tT\u00fclay Han\u0131m, bah\u00e7esinde yeti\u015ftirdi\u011fi \u00e7ilek, kay\u0131s\u0131, kiraz ve vi\u015fne kullanarak re\u00e7el yap\u0131p bu re\u00e7elleri pazarda satmak istiyor. A\u015fa\u011f\u0131da T\u00fclay Han\u0131m'\u0131n bu pazarda satt\u0131\u011f\u0131 d\u00f6rt farkl\u0131 re\u00e7elin birer kavanozunun miktar\u0131 ve sat\u0131\u015f fiyat\u0131 verilmi\u015ftir. \u00c7ilek Kay\u0131s\u0131 Kiraz Vi\u015fne Re\u00e7el \u00c7e\u015fidi Miktar (kg) Fiyat (TL) 0,25 kg 0,5 kg 1,5 kg 1,75 kg \u00c7ilek 0,25 6,25 Kay\u0131s\u0131 0,5 12,6 Kiraz 1,5 36,6 Vi\u015fne 1,75 42 Buna g\u00f6re hangi re\u00e7elin bir kilogram\u0131n\u0131n fiyat\u0131 en d\u00fc\u015f\u00fckt\u00fcr? D) Vi\u015fne A) \u00c7ilek\u2001 B) Kay\u0131s\u0131\u2001 C) Kiraz\u2001 13.\tScooter kiralama \u015firketi, a\u015fa\u011f\u0131daki fiyat listelerini kullanarak ara\u00e7lar\u0131n\u0131 kullan\u0131ma sunmaktad\u0131r. Mavi Scooter K\u0131rm\u0131z\u0131 Scooter Ba\u015flang\u0131\u00e7 Her 1 Dakikal\u0131k Ba\u015flang\u0131\u00e7 30 Dakikal\u0131k \u00dccreti Kullan\u0131m \u00dccreti \u00dccreti Kullan\u0131m \u00dccreti 1,99 TL 1,49 TL 2,99 TL 39,9 TL Ye\u015fil Scooter Sar\u0131 Scooter Ba\u015flang\u0131\u00e7 Her 5 Dakikal\u0131k Ba\u015flang\u0131\u00e7 Her 10 Dakikal\u0131k \u00dccreti Kullan\u0131m \u00dccreti \u00dccreti Kullan\u0131m \u00dccreti 2,49 TL 6,95 TL 2,99 TL 14,4 TL Asl\u0131, scooter ile okuldan evine 30 dakikada ula\u015fmaktad\u0131r. Asl\u0131, evine giderken Scooter'lardan ekonomik olan\u0131 se\u00e7mek istiyor. Buna g\u00f6re Asl\u0131 hangi Scooter'\u0131 se\u00e7melidir? A) Mavi\u2001 B) K\u0131rm\u0131z\u0131\u2001 C) Ye\u015fil\u2001 D) Sar\u0131 F\u00d6Y - 21 6. S\u0131n\u0131f","22. f\u00f6y \u2022 Ondal\u0131k g\u00f6sterimleri verilen say\u0131larla 10, 100 ve 1000 ile k\u0131sa yoldan \u00e7arpma ve b\u00f6lme i\u015flemlerini yapar. \u2022 Say\u0131lar\u0131n ondal\u0131k g\u00f6sterimleriyle yap\u0131lan i\u015flemlerin sonucunu tah- min eder. 3384 1.\t Ondal\u0131k g\u00f6sterim 10, 100 ve 1000 ile \u00e7arp\u0131ld\u0131\u011f\u0131nda b\u00fcy\u00fcr. Bu \u00e7arpma i\u015flemi kolay yoldan virg\u00fcl kayd\u0131r\u0131larak ve eksik basamaklar yerine \\\"0\\\" yaz\u0131larak yap\u0131labilir. \u25aa 10 ile \u00e7arpmak virg\u00fcl\u00fcn 1 basamak sa\u011fa kayd\u0131r\u0131lmas\u0131, \u25aa 100 ile \u00e7arpmak virg\u00fcl\u00fcn 2 basamak sa\u011fa kayd\u0131r\u0131lmas\u0131, \u25aa 1000 ile \u00e7arpmak virg\u00fcl\u00fcn 3 basamak sa\u011fa kayd\u0131r\u0131lmas\u0131 demektir. E\u011fer virg\u00fcl kayd\u0131ram\u0131yorsak say\u0131n\u0131n sa\u011f\u0131na \\\"0\\\" eklenir. \u2192 \u00d6rne\u011fin; 3,83 ondal\u0131k g\u00f6sterimini 10, 100 ve 1000 ile k\u0131sa yoldan \u00e7arpal\u0131m. 3,83 x 10 = 38,3 (Virg\u00fcl, 1 basamak sa\u011fa kayd\u0131r\u0131l\u0131r.) 3,83 x 100 = 383 (Virg\u00fcl, 2 basamak sa\u011fa kayd\u0131r\u0131l\u0131r.) 3,83 x 1000 = 3830 (Virg\u00fcl, 2 basamak sa\u011fa kayd\u0131r\u0131l\u0131r ve 1 tane \\\"0\\\" eklenir.) Buna g\u00f6re 45,28 ondal\u0131k g\u00f6sterimi 100 ile k\u0131sa yoldan \u00e7arp\u0131l\u0131rsa hangi sonu\u00e7 elde edilir? A) 452,8\u2001 B) 4528\u2001 C) 45280\u2001 D) 4,528 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 - ETK\u0130NL\u0130K 28 - A\u015fa\u011f\u0131da verilen \u00e7arpma i\u015flemlerini yap\u0131n\u0131z. a) 23,42 x 10 = .............. g) 45,85 x 10 = .............. b) 1,712 x 100 = .............. h) 10,03 x 1000 = .............. c) 342,4 x 10 = .............. \u0131) 1,938 x 1000 = .............. d) 2,874 x 1000 = .............. i) 0,43 x 10 = .............. e) 78,85 x 1000 = .............. j) 19,05 x 10 = .............. f) 0,003 x 1000 = .............. k) 1,801 x 100 = .............. F\u00d6Y - 22 6. S\u0131n\u0131f","2. Ondal\u0131k g\u00f6sterim 10, 100 ve 1000 ile b\u00f6l\u00fcnd\u00fc\u011f\u00fcnde k\u00fc\u00e7\u00fcl\u00fcr. Bu b\u00f6lme i\u015flemi kolay yoldan virg\u00fcl kayd\u0131r\u0131larak yap\u0131la- bilir. \u25aa 10 ile b\u00f6lmek virg\u00fcl\u00fcn 1 basamak sola kayd\u0131r\u0131lmas\u0131, \u25aa 100 ile b\u00f6lmek virg\u00fcl\u00fcn 2 basamak sola kayd\u0131r\u0131lmas\u0131, \u25aa 1000 ile b\u00f6lmek virg\u00fcl\u00fcn 3 basamak sola kayd\u0131r\u0131lmas\u0131 demektir. E\u011fer virg\u00fcl kayd\u0131ram\u0131yorsak say\u0131n\u0131n soluna \\\"0\\\" eklenir. \u2192 \u00d6rne\u011fin; 17,4 ondal\u0131k g\u00f6sterimini 10, 100 ve 1000 ile k\u0131sa yoldan b\u00f6lelim. 17,4 \u00f7 10 = 1,74 (Virg\u00fcl, 1 basamak sola kayd\u0131r\u0131l\u0131r.) 17,4 \u00f7 100 = 0,174 (Virg\u00fcl, 2 basamak sola kayd\u0131r\u0131l\u0131r ve ba\u015f\u0131na \\\"0\\\" eklenir.) 17,4 \u00f7 1000 = 0,0174 (Virg\u00fcl, 3 basamak sola kayd\u0131r\u0131l\u0131r ve bo\u015flu\u011fa \\\"0\\\" eklenir.) Buna g\u00f6re 20,16 ondal\u0131k g\u00f6sterimi 1000 ile k\u0131sa yoldan b\u00f6l\u00fcn\u00fcrse hangi sonu\u00e7 elde edilir? A) 0,216\t B) 0,2016\t C) 0,02016\t D) 20160 - ETK\u0130NL\u0130K 29 - A\u015fa\u011f\u0131da verilen b\u00f6lme i\u015flemlerini yap\u0131n\u0131z. a) 18,81\t\u00f7\t10\t=\t.............. g) 97,19\t\u00f7 1000\t=\t.............. b) 181,2\t\u00f7 100\t=\t.............. h) 0,07\t\u00f7 100\t=\t.............. c) 93,39\t\u00f7 1000\t=\t.............. \u0131) 100,01\t\u00f7 100\t=\t.............. d) 13,2\t\u00f7 100\t=\t.............. i) 3009 \u00f7 10\t=\t.............. e) 19,66\t\u00f7 1000\t=\t.............. j) 507,4\t\u00f7 1000\t=\t.............. f) 40,07\t\u00f7 10\t=\t.............. k) 7 \u00f7 1000\t=\t.............. 3.\t A\u015fa\u011f\u0131da\tbaz\u0131\ti\u015flemler\tverilmi\u015ftir. 4. 1047 \u00f7 1000 = x 100 = Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 \u00f7 10 = Bu i\u015flemlere g\u00f6re \uf073 + \uf048 i\u015fleminin sonucu ka\u00e7t\u0131r? x 1000 = A A) 688 B) 49,45\t C) 68,8\t D)\t107,5 Yukar\u0131da verilen i\u015flem dizisinde A say\u0131s\u0131 yerine a\u015fa- \u011f\u0131dakilerden hangisi gelmelidir? A) 10,47\t B) 104,7\t C) 10470 D) 104700 6. S\u0131n\u0131f F\u00d6Y - 22","5. Ondal\u0131k g\u00f6sterimlerde i\u015flemin sonucunun \u00f6nemsiz oldu\u011fu durumlarda yakla\u015f\u0131k sonu\u00e7 bulmaya \u00e7al\u0131\u015f\u0131r\u0131z. \u0130\u015flemin sonu- cunu tahmin ederken yuvarlama tekni\u011fini kullanabiliriz. \u00d6rne\u011fin; marketten kilogram\u0131 2,15 TL olan domatesten 7,75 kilogram alan biri, kasaya gitmeden yakla\u015f\u0131k sonucu bul- mak istiyorsa a\u015fa\u011f\u0131daki i\u015flem ad\u0131mlar\u0131n\u0131 uygulamal\u0131d\u0131r. 2, 15 \u2192 onda birler basama\u011f\u0131 1 < 5 oldu\u011fu i\u00e7in 2,15 tahminici sonucu 2'dir. 7,75 \u2192 onda birler basama\u011f\u0131 7 > 5 oldu\u011fu i\u00e7in 7,75 tahmini sonucu 8'dir. \u0130\u015flemin tahmini sonucu: 2 x 8 = 16 \u0130\u015flemin ger\u00e7ek sonucu: 2,15 x 7,75 = 16,6625 Sonu\u00e7 olarak olduk\u00e7a yak\u0131n bir tahmin yapm\u0131\u015f oluruz. Eyl\u00fcl,\ttanesi\t9,85\tTL\tolan\tdefterlerden\t5\ttane\tve\ttanesi\t1,17\tTL\tolan\tkalemlerden\t8\ttane\talm\u0131\u015ft\u0131r. Buna g\u00f6re Eyl\u00fcl yakla\u015f\u0131k ka\u00e7 TL harcama yapm\u0131\u015ft\u0131r? A) 48 B) 58 C) 68 D) 78 6.\t Fiyatlar\u0131\te\u015fit\tolan\t\u00e7ikolatalardan\t5\ttane\talan\tYi\u011fit,\ttoplamda\t35,35\tTL\t\u00f6deme\tyapm\u0131\u015ft\u0131r. \u00c7ikolatalar\u0131n 1 tanesinin fiyat\u0131n\u0131 ka\u00e7 liraya geldi\u011fini hesaplamak isteyen Yi\u011fit, toplam tutar\u0131 tam k\u0131sma yuvarlayarak i\u015flem yapt\u0131\u011f\u0131nda bir \u00e7ikolatan\u0131n fiyat\u0131n\u0131 ka\u00e7 TL olarak tahmin etmi\u015f olur? A) 6,95 B) 7 C) 7,05 D)\t7,5 7. \u0130\u015flemin ger\u00e7ek sonucunun \u00f6nemsiz oldu\u011fu durumlarda, 8. Nur Han\u0131m, o\u011fluna atk\u0131 \u00f6rmek i\u00e7in tahmini sonu\u00e7 bularak h\u0131zl\u0131 i\u015flem yapabiliriz. metresi 2,89 TL olan ipten 6 met- re al\u0131yor. 47,999\t\u00f7\t4,012 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 Nur Han\u0131m ald\u0131\u011f\u0131 ip i\u00e7in 50 TL Mertcan i\u00e7in sonucun ger\u00e7ek de\u011ferinin \u00f6nemsiz oldu- verirse tahmini olarak ka\u00e7 TL \u011fu yukar\u0131daki i\u015flemde tahmini sonu\u00e7 ka\u00e7t\u0131r? para \u00fcst\u00fc al\u0131r? A) 10 B) 11 C) 12 D) 13 A) 18 B) 22 C) 32 D) 42 F\u00d6Y - 22 6. S\u0131n\u0131f","9.\t 10, 100 ve 1000 ile \u00e7arpma ve b\u00f6lme i\u015flemleri a\u015fa\u011f\u0131daki gibi tan\u0131mlanm\u0131\u015ft\u0131r. a \u2192 a . 10 a \u2192 a \u00f7 10 a \u2192 a . 100 a \u2192 a \u00f7 100 a \u2192 a . 1000 a \u2192 a \u00f7 1000 \u00d6rne\u011fin; 3,5 \u2192 3,5 . 10 = 35 22,4 \u2192 22,4 \u00f7 100 = 0,224 Buna g\u00f6re, + 0,07 C) 52,2\u2001 D) 74,52 45,2 B) 45,27\u2001 i\u015fleminin sonucu ka\u00e7t\u0131r? A) 11,52\u2001 10.\tA\u015fa\u011f\u0131da dolar ($) ve euronun (\u20ac) belirli tarihlerdeki de\u011ferleri verilmi\u015ftir. 1 Ocak 2021 1 \u20ac = 9,07 TL 1 Ocak 2021 1 $ = 7,43 TL 1 Ocak 2022 1 Ocak 2022 1 $ = 13,56 TL 1 \u20ac = 15,14 TL Kadir, birikim yapmak i\u00e7in 1 Ocak 2021 tarihinde 1000 dolar de\u011ferinde al\u0131m yapm\u0131\u015ft\u0131r. 1 Ocak 2022 tarihinde paraya ihtiyac\u0131 olunca sat\u0131\u015f yaparak paras\u0131n\u0131 T\u00fcrk liras\u0131na \u00e7evirmi\u015ftir. Kadir, 1 Ocak 2021 tarihinde 1000 euro de\u011ferinde al\u0131m yapm\u0131\u015f olup 1 Ocak 2022 tarihinde sat\u0131\u015f yapm\u0131\u015f olsayd\u0131 T\u00fcrk liras\u0131 cinsindan k\u00e2r - zarar durumu ne olurdu? A) 60 TL k\u00e2r ederdi.\u2001 B) 60 TL zarar ederdi.\u2001 C) Ne k\u00e2r ne zarar ederdi.\u2001 D) 160 TL zarar ederdi. 6. S\u0131n\u0131f F\u00d6Y - 22","23. f\u00f6y \u2022 Ondal\u0131k ifadelerle d\u00f6rt i\u015flem yapmay\u0131 gerektiren problemleri \u00e7\u00f6zer. 3385 1. \u00d6rnek: Bir k\u0131rtasiyede mavi kalemlerin tanesi 3,29 TL, k\u0131rm\u0131z\u0131 kalemlerin tanesi 2,89 TL ve siyah kalemlerin tanesi 3,65 TL'den sat\u0131lmaktad\u0131r. Buna g\u00f6re k\u0131rtasiyeden 2 mavi, 3 k\u0131rm\u0131z\u0131 ve 4 siyah kalem alan Kadir, toplamda ne kadar \u00f6deme yapm\u0131\u015ft\u0131r? 1) Problemi anlayal\u0131m: 2) Plan yapal\u0131m: 3) Plan\u0131 uygulayal\u0131m: Yukar\u0131da\tverilen\tproblem\t\u00e7\u00f6zme\tbasamaklar\u0131n\u0131\tkullanarak\ta\u015fa\u011f\u0131daki\tproblemi\t\u00e7\u00f6zelim. Hakan,\t\u00fc\u00e7\tarkada\u015f\u0131\tile\tbirlikte\ttrene\tbiniyor. Ki\u015fi ba\u015f\u0131 19,15 TL olan tren \u00fccreti i\u00e7in kond\u00fckt\u00f6re 100 TL veren Hakan, para \u00fcst\u00fc olarak ka\u00e7 TL al\u0131r? A) 79,6\t B) 57,45\t C) 42,55\t D)\t23,4 2.\t Bir\t\u00e7i\u00e7ek\u00e7ide\tbulunan\tpapatya\tve\torkidelerin\ttanesi\ts\u0131ras\u0131yla\t7,45\tTL\tve\t23,89\tTL'dir. Buna g\u00f6re \u00e7i\u00e7ek\u00e7iden 20 tane papatya ve 10 tane orkide alan birisi \u00e7i\u00e7ek\u00e7iye ne kadar \u00f6deme yapar? A) 149 B) 238,9 C) 387,9 D)\t552,3 6. S\u0131n\u0131f F\u00d6Y - 23","3.\t Kenan,\tmanavdan\t18\tkg\tpatates,\tpatatesin\t1,5\tkat\u0131\tkadar\tpatl\u0131can,\tpatl\u0131can\u0131n\t0,6\tkat\u0131\tkadar\tbiber\talm\u0131\u015ft\u0131r. Buna g\u00f6re Kenan'\u0131n manavdan ald\u0131\u011f\u0131 patates, patl\u0131can ve biber toplamda ka\u00e7 kg'd\u0131r? A) 59,6 B) 59,8 C) 60,2 D)\t61,2 4.\t Bir\tnakliye\t\u015firketinin\tbo\u015f\t(y\u00fcks\u00fcz)\tolarak\ttart\u0131lan\tkamyonu\t8516,4\tkg\t\u00f6l\u00e7\u00fclm\u00fc\u015ft\u00fcr. Bu\tkamyona\te\u015fit\ta\u011f\u0131rl\u0131kl\u0131\t12\ttane\t\u00e7ama\u015f\u0131r\tmakinesi\ty\u00fcklenmi\u015ftir.\tBu\ty\u00fckleme\tsonras\u0131\tkamyonun\ta\u011f\u0131rl\u0131\u011f\u0131\t9505,2\tkg\tolarak\t\u00f6l- \u00e7\u00fclm\u00fc\u015ft\u00fcr. Bo\u015f kamyon: 8516,4 kg Y\u00fckl\u00fc kamyon: 9505,2 kg Buna g\u00f6re 1 \u00e7ama\u015f\u0131r makinesinin a\u011f\u0131r\u0131\u011f\u0131 ka\u00e7 kg'd\u0131r? A) 82,4 B) 83,4 C) 84,2 D)\t84,3 5.\t A\u015fa\u011f\u0131da,\tbir\tinternet\tda\u011f\u0131t\u0131m\t\u015firketinin\tm\u00fc\u015fteriler\ti\u00e7in\thaz\u0131rlad\u0131\u011f\u0131\ttarifeler\tverilmi\u015ftir. Mavi\tTarife K\u0131rm\u0131z\u0131\tTarife Buna g\u00f6re ayda 18 GB internet kullanan bir ki\u015fi i\u00e7in a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? F\u00d6Y - 23 A) Mavi\ttarifeyi\tse\u00e7erse\t2,1\tTL\tdaha\tfazla\t\u00f6der.\t B) Ayl\u0131k\t7\tGB\tdaha\tfazla\tkullan\u0131rsa\tk\u0131rm\u0131z\u0131\ttarifeye,\tmavi\ttarifeye\tg\u00f6re\t14,7\tTL\tdaha\tfazla\t\u00f6der.\t C) Ayl\u0131k\t2\tGB\tdaha\tfazla\tkullan\u0131rsa\ther\tiki\ttarifeye\te\u015fit\tmiktarda\t\u00f6deme\tyapar.\t D)\t\tK\u0131rm\u0131z\u0131\ttarifeyi\tse\u00e7erse\t57,6\tTL\t\u00f6deme\tyapar. 6. S\u0131n\u0131f","6.\t 90 litre s\u00fct\u00fcn 18,5 litresi yo\u011furt yapmak i\u00e7in ayr\u0131lacakt\u0131r. Geriye kalan s\u00fct ise 2,75 litrelik \u015fi\u015felere tamamen doldurulacak \u015fekilde payla\u015ft\u0131r\u0131lacakt\u0131r. Buna g\u00f6re i\u015f i\u00e7in ka\u00e7 \u015fi\u015feye ihtiya\u00e7 vard\u0131r? A) 26\u2001 B) 28\u2001 C) 30\u2001 D) 32 7.\t A\u015fa\u011f\u0131da kenar uzunluklar\u0131 birbirinden farkl\u0131 kare \u015feklindeki 3 fayans\u0131n yan yana yerle\u015ftirilmesiyle elde edilen \u00f6r\u00fcnt\u00fcler veril- mi\u015ftir. T M R \u015eekil - I 37,85 cm T T M M M R R \u015eekil - II 88,15 cm D) 50,3 Buna g\u00f6re M fayans\u0131n\u0131n bir kenar uzunlu\u011fu ka\u00e7 cm'dir? A) 12,15\u2001 B) 12,45\u2001 C) 12,54\u2001 8.\t A\u015fa\u011f\u0131daki tabloda 100 soruluk bir s\u0131nav\u0131n derslere g\u00f6re soru da\u011f\u0131l\u0131mlar\u0131 ve derslerin puan katsay\u0131lar\u0131 verilmi\u015ftir. Ders Soru Say\u0131s\u0131 Puan Katsay\u0131s\u0131 Matematik 30 2,4 Fen Bilimleri 20 2,3 30 2,6 T\u00fcrk\u00e7e 20 2,1 Sosyal Bilgiler Yanl\u0131\u015f cevaplanan ya da bo\u015f b\u0131rak\u0131lan sorular i\u00e7in puan d\u00fc\u015f\u00fcr\u00fclmemektedir. \u00d6rne\u011fin; 20 tane matematik sorusunu do\u011fru cevaplayan \u00f6\u011frenci \u2192 20 x 2,4 = 48 puan almaktad\u0131r. Buna g\u00f6re 76 soruyu do\u011fru cevaplayan \u00f6\u011frenci en fazla ka\u00e7 puan al\u0131r? A) 190,4\u2001 B) 186,8\u2001 C) 184,8\u2001 D) 182,8 6. S\u0131n\u0131f F\u00d6Y - 23","9.\t Akaryak\u0131t fiyatlar\u0131 aylara g\u00f6re de\u011fi\u015fkenlik g\u00f6sterebilir. Ekim A\u015fa\u011f\u0131da Osman'\u0131n eyl\u00fcl ve ekim aylar\u0131nda ald\u0131\u011f\u0131 akaryak\u0131t ile ilgili bilgiler verilmi\u015ftir. Eyl\u00fcl Litre Fiyat\u0131 : 22,4 TL Litre Fiyat\u0131 : ? Al\u0131nan Litre : 13,5 L Al\u0131nan Litre : 14,5 L Toplam Tutar : ? Toplam Tutar : ? Osman, ekim ay\u0131nda eyl\u00fcl ay\u0131ndan 71,7 TL daha fazla akaryak\u0131t alm\u0131\u015ft\u0131r. Buna g\u00f6re ekim ay\u0131nda akaryak\u0131t\u0131n litre fiyat\u0131na ka\u00e7 TL zam gelmi\u015ftir? A) 3,4\u2001 B) 4,3\u2001 C) 25,8\u2001 D) 374,1 10.\tBerna, farkl\u0131 renkteki ipleri kullanarak bileklik yapmak istiyor. Mavi ipin uzunlu\u011fu 65 cm, ye\u015fil ipin uzunlu\u011fu 80 cm ve k\u0131rm\u0131z\u0131 ipin uzunlu\u011fu 70 cm olarak verilmi\u015ftir. 65 cm 80 cm 70 cm Mavi ipin ucundan 5,56 cm, ye\u015fil ipin ucundan 5,75 cm ve k\u0131rm\u0131z\u0131 ipin ucundan 21,25 cm'lik k\u0131s\u0131m kesilip at\u0131l\u0131yor. Daha sonra mavi ip 8, ye\u015fil ip 9 ve k\u0131rm\u0131z\u0131 ip 5 e\u015f par\u00e7aya ayr\u0131l\u0131yor. Buna g\u00f6re Berna'n\u0131n e\u015f par\u00e7alara ayr\u0131lm\u0131\u015f 3 renkten birer tanesini birle\u015ftirerek olu\u015fturdu\u011fu bilekli\u011fin toplam uzunlu- \u011fu ka\u00e7 cm'dir? A) 22,125\u2001 B) 25,43\u2001 C) 28,34\u2001 D) 32,56 6. S\u0131n\u0131f F\u00d6Y - 23","24. f\u00f6y \u2022 \u00c7okluklar\u0131 kar\u015f\u0131la\u015ft\u0131rmada oran kullan\u0131r ve oran\u0131 farkl\u0131 bi\u00e7im- lerde g\u00f6sterir. \u2022 Bir b\u00fct\u00fcn\u00fcn iki par\u00e7aya ayr\u0131ld\u0131\u011f\u0131 durumlarda iki par\u00e7an\u0131n birbiri- ne veya her bir par\u00e7an\u0131n b\u00fct\u00fcne oran\u0131n\u0131 belirler, problem durumlar\u0131n- da oranlardan biri verildi\u011finde di\u011ferini bulur. 3386 1. \u0130ki \u00e7oklu\u011fun birbirine b\u00f6l\u00fcnerek kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131 i\u015flemine \\\"oran\\\" denir. a'n\u0131n b'ye oran\u0131; a , a : b ya da a\/b ile g\u00f6sterilebilir. b \u00d6rne\u011fin; 18 cevizin, 24 cevize oran\u0131: 18 , 18\/24 ya da 18 : 24 ile g\u00f6sterilir. 24 Abdullah'\u0131n\t47\tbilyesi,\tSelma'n\u0131n\tise\t33\tbilyesi\tvard\u0131r. Buna g\u00f6re Selma'n\u0131n bilyesinin Abdullah'\u0131n bilyesine oran\u0131 a\u015fa\u011f\u0131dakilerden hangisi ile g\u00f6sterilir? A) 47\/33 B) 33\/47 C) 47\t:\t33\t D) 47 33 - ETK\u0130NL\u0130K 30 - 1. A\u015fa\u011f\u0131da verilen oranlar\u0131 semboller ile g\u00f6steriniz. a) 9'un\t6'ya\toran\u0131\t=\t\t...............\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tb) Alt\u0131n\u0131n\tyediye\toran\u0131\t=\t\t............... c) Birin\tyetmi\u015f\talt\u0131ya\toran\u0131\t=\t..............\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\td) 71'in\t98'e\toran\u0131\t=\t.............. 2. A\u015fa\u011f\u0131da verilen bilgilere g\u00f6re istenilen oranlar\u0131 bulunuz. Ali Fahri Gamze K\u00fcbra Kilo:\t92 Kilo:\t63 Kilo:\t49 Kilo:\t58 Ya\u015f:\t58 Ya\u015f:\t18 Ya\u015f:\t23 Ya\u015f:\t47 a) Ali'nin\tya\u015f\u0131n\u0131n,\tK\u00fcbra'n\u0131n\tya\u015f\u0131na\toran\u0131\t=\t\t...............\t\t\t\t\t\t\t\t\t\t\t\tb) Fahri'nin\tkilosunun,\tGamze'nin\tkilosuna\toran\u0131\t=\t\t............... c) K\u00fcbra'n\u0131n\tya\u015f\u0131n\u0131n,\tFahri'nin\tya\u015f\u0131na\toran\u0131\t=\t..............\t\t\t\t\t\t\t\t\t\td)\t\tGamze'nin\tkilosunun,\tAli'nin\tkilosuna\toran\u0131\t=\t.............. F\u00d6Y - 24 6. S\u0131n\u0131f","2.\t Yanda bir \u00e7ocuk ve babas\u0131n\u0131n g\u00f6r- Baba 3.\t 50 ki\u015filik s\u0131n\u0131fta 28 erkek vard\u0131r. seli verilmi\u015ftir. \u00c7ocuk Buna g\u00f6re k\u0131z say\u0131s\u0131n\u0131n, erkek say\u0131s\u0131na oran\u0131 nedir? Buna g\u00f6re \u00e7ocu\u011fun boyunun, Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 A) 11\u2001 B) 22\u2001 C) 50\u2001 D) 14 babas\u0131n\u0131n boyuna oran\u0131 a\u015fa\u011f\u0131- 14 50 28 25 dakilerden hangisi olabilir? A) 7 \u2001 B) 3\u2001 4 C) 4 \u2001 D) 1 6 4.\t Bir b\u00fct\u00fcn\u00fc olu\u015fturan par\u00e7alar\u0131n oran\u0131 verildi\u011finde, b\u00fct\u00fcn\u00fcn par\u00e7alara oran\u0131 veya par\u00e7alar\u0131n b\u00fct\u00fcne oran\u0131 bulunur. \u00d6rne\u011fin; s\u0131n\u0131ftaki k\u0131zlar\u0131n say\u0131s\u0131n\u0131n, erkeklerin say\u0131s\u0131na oran\u0131 3 'tir. Erkeklerin t\u00fcm s\u0131n\u0131fa oran\u0131n\u0131 bulal\u0131m. 5 \uf073\uf073\uf073 \uf06e\uf06e\uf06e\uf06e\uf06e Erkek say\u0131s\u0131 = 5 K E T\u00fcm \u00f6\u011frenci say\u0131s\u0131 8 Yanda bir k\u0131sm\u0131 ye\u015file, bir k\u0131sm\u0131 maviye boyanm\u0131\u015f bir daire verilmi\u015ftir. Buna g\u00f6re dairenin tamam\u0131n\u0131n maviye oran\u0131 nedir? A) 3 \u2001 B) 4 \u2001 C) 4 \u2001 D) 1 4 1 3 3 5.\t Burak'\u0131n kilosunun, Esat'\u0131n kilosuna oran\u0131 7 'd\u0131r. 6 Buna g\u00f6re Esat'\u0131n kilosunun, ikisinin toplam kilosuna oran\u0131 nedir? A) 6 \u2001 B) 7 \u2001 C) 13\u2001 D) 13 13 13 7 6 - ETK\u0130NL\u0130K 31 - A\u015fa\u011f\u0131da verilen ifadelerde istenileni bulunuz. a) Bir \u015fekerli suda, \u015fekerin kar\u0131\u015f\u0131mdaki oran\u0131 7 'dir. Buna g\u00f6re suyun, \u015fekere oran\u0131 ka\u00e7t\u0131r? ................ 18 b) Onur, paras\u0131n\u0131n 9 'sini harcam\u0131\u015ft\u0131r. Buna g\u00f6re kalan paras\u0131n\u0131n, harcad\u0131\u011f\u0131 paraya oran\u0131 ka\u00e7t\u0131r? ................ 12 c) U\u011fur'un sar\u0131 kalemlerinin say\u0131s\u0131n\u0131n, mavi kalemlerinin say\u0131s\u0131na oran\u0131 2 't\u00fcr. Mavi kalem say\u0131s\u0131 18 oldu\u011funa g\u00f6re, toplam- 3 da ka\u00e7 kalem vard\u0131r? ................ 6. S\u0131n\u0131f F\u00d6Y - 24","6.\t 45 tane g\u00fcl, iki buket olu\u015fturacak \u015fekilde 7 oran\u0131nda payla\u015ft\u0131r\u0131l\u0131rsa daha az g\u00fcl say\u0131s\u0131na sahip bukette ka\u00e7 g\u00fcl vard\u0131r? 8 A) 21\u2001 B) 22\u2001 C) 23\u2001 D) 24 7.\t Bir torbada 7 mavi, 10 siyah, 4 sar\u0131 ve 3 ye\u015fil bilye vard\u0131r. Buna g\u00f6re ye\u015fil bilye say\u0131s\u0131n\u0131n, ye\u015fil olmayan bilye say\u0131s\u0131na oran\u0131 ka\u00e7t\u0131r? A) 3 \u2001 B) 1 \u2001 C) 1 \u2001 D) 21 24 7 8 24 8.\t A\u015fa\u011f\u0131daki tabloda 1'den 20'ye kadar olan say\u0131lar verilmi\u015ftir. 123 ... 20 Buna g\u00f6re tabloda 2'ye b\u00f6l\u00fcnen say\u0131lar\u0131n say\u0131s\u0131n\u0131n, 5'e b\u00f6l\u00fcnen say\u0131lar\u0131n say\u0131s\u0131na oran\u0131 ka\u00e7t\u0131r? A) 4 \u2001 B) 20\u2001 C) 2\u2001 D) 5 10 10 2 9.\t A\u015fa\u011f\u0131da verilen \u00fc\u00e7 kutuda, farkl\u0131 renklerde toplar vard\u0131r. Bir kutuda ise hi\u00e7 top yoktur. 1. kutu 2. kutu 3. kutu 4. kutu Yukar\u0131daki i\u00e7i dolu kutular\u0131n her birisinden 2 top \u00e7ekiliyor ve bu toplar mor renge boyan\u0131p 4. kutuya at\u0131l\u0131yor. Buna g\u00f6re son durumda mor toplar\u0131n say\u0131s\u0131n\u0131n, k\u0131rm\u0131z\u0131 ve siyah toplar\u0131n say\u0131s\u0131na oran\u0131 ka\u00e7t\u0131r? A) 6 \u2001 B) 1 \u2001 C) 3 \u2001 D) 2 13 2 8 3 F\u00d6Y - 24 6. S\u0131n\u0131f","10.\t1'den 45'e kadar olan say\u0131lardan asal olanlar\u0131n, asal olmayan say\u0131lara oran\u0131 ka\u00e7t\u0131r? A) 13\u2001 B) 14\u2001 C) 14\u2001 D) 13 45 31 45 31 11.\t\u015eekil - I'de verilen \u00f6n y\u00fcz\u00fc k\u0131rm\u0131z\u0131, arka y\u00fcz\u00fc mavi olan dikd\u00f6rtgen k\u00e2\u011f\u0131d\u0131n; uzun kenar\u0131 90 cm ve alan\u0131 720 cm2 dir. Bu k\u00e2\u011f\u0131t, k\u0131sa kenar\u0131ndan 20 cm sola do\u011fru katlan\u0131yor ve \u015eekil - II elde ediliyor. 90 cm K KM M K 720 cm2 \u015eekil - I 20 cm \u015eekil - II Buna g\u00f6re \u015eekil - II'deki mavi renkli k\u0131sm\u0131n alan\u0131n\u0131n, k\u0131rm\u0131z\u0131 k\u0131sm\u0131n alan\u0131na oran\u0131 ka\u00e7t\u0131r? D) 5 A) 5 \u2001 B) 2 \u2001 C) 1 \u2001 8 2 5 2 12.\t120 metre uzunlu\u011fundaki zemine, a\u015fa\u011f\u0131daki gibi tu\u011flalar dizilecektir. ... Uzun tu\u011fla K\u0131sa tu\u011fla 3m 8 1m 8 120 m D) 1 : 1 Buna g\u00f6re zemindeki k\u0131sa tu\u011fla say\u0131s\u0131n\u0131n uzun tu\u011fla say\u0131s\u0131na oran\u0131 ka\u00e7t\u0131r? F\u00d6Y - 24 A) 3 : 2\u2001 B) 4 : 3\u2001 C) 3 : 1\u2001 6. S\u0131n\u0131f","25. f\u00f6y \u2022 Ayn\u0131 veya farkl\u0131 birimlerdeki iki \u00e7oklu\u011fun birbirine oran\u0131n\u0131 be- lirler. 3387 1.\t Ayn\u0131 birimlerle ifade edilen iki \u00e7oklu\u011fun oran\u0131 \\\"birimsiz oran\\\", farkl\u0131 birimlerle ifade edilen iki \u00e7oklu\u011fun oran\u0131 \\\"birimli oran\\\" olarak adland\u0131r\u0131l\u0131r. \u00d6rne\u011fin; \u2192 Ali'nin 17, Fatih'in 28 f\u0131nd\u0131\u011f\u0131 vard\u0131r. \u0130kisinin birbirine oranlar\u0131 birimsizdir. 16 (Birimsiz oran) 28 \u2192 Helin'in boyu 168 cm, kilosu 72 kg'd\u0131r. Boyunun, kilosuna oran\u0131 birimlidir. 168 cm = 7 cm\/kg (Birimli oran) 72 kg 3 Taktik :) \u2192 cm birbirini g\u00f6t\u00fcr\u00fcr (sadele\u015fir) ve hi\u00e7bir \u015fey kalmaz. Birimsiz oran olur. cm \u2192 km birbirini g\u00f6t\u00fcrmez (sadele\u015fmez) ve \u00f6ylece kal\u0131r. Birimli oran olur. sa Ek bilgi: Ara\u00e7lar\u0131n h\u0131z\u0131, birimli orana \u00f6rnektir. Buna g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi birimsiz oran ifade eder? Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 A) Alper'in kilosunun, boyuna oran\u0131\u2001 B) Berkan'\u0131n bir g\u00fcnde \u00e7\u00f6zd\u00fc\u011f\u00fc soru say\u0131s\u0131n\u0131n, \u00e7al\u0131\u015fma saatine oran\u0131\u2001 C) Geziye kat\u0131lan k\u0131z \u00f6\u011frenci say\u0131s\u0131n\u0131n, erkek \u00f6\u011frenci say\u0131s\u0131na oran\u0131\u2001 D) Gidilen yolun, harcanan benzine oran\u0131 - ETK\u0130NL\u0130K 32 - 1. A\u015fa\u011f\u0131da verilen oranlar\u0131n birimli veya birimsiz 2. A\u015fa\u011f\u0131da verilen c\u00fcmlelerde istenileni yaz\u0131n\u0131z. oran olduklar\u0131n\u0131 yanlar\u0131na yaz\u0131n\u0131z. a) K\u0131sa kenar\u0131 300 mm ve uzun kenar\u0131 5 cm olan aynan\u0131n a) 250 m = ..................... b) 71 sa = ..................... uzun kenar\u0131n\u0131n, k\u0131sa kenar\u0131na oran\u0131n\u0131 birimsiz olarak ya- 280 m 176 kw z\u0131n\u0131z. .............................................................. c) 41 m = ..................... d) 150 L = ..................... Kenan'\u0131n boyu 170 cm, Hakan'\u0131n boyu 182 cm; Kenan'\u0131n 40 dm 75 cL kilosu 83 kg, Hakan'\u0131n kilosu 78 kg oldu\u011funa g\u00f6re b) Hakan'\u0131n boyunun, Kenan'\u0131 boyuna oran\u0131n\u0131 bulunuz. e) 67 km = ..................... f) 54 g = ..................... 5 km 171 g g) 180 m = ..................... h) 100 cm = ..................... c) Kenan'\u0131n kilosunun, Hakan'\u0131n boyuna oran\u0131n\u0131 bulunuz. 720 sn 84 cm F\u00d6Y - 25 6. S\u0131n\u0131f","2. III. C) I\tve\tIII Yukar\u0131daki maddelerden hangisi ya da hangileri birimlidir? A) Yaln\u0131z\tI B) Yaln\u0131z\tII D) II\tve\tIII 3. Bir arac\u0131n ald\u0131\u011f\u0131 mesafenin, s\u00fcreye oran\u0131na \\\"s\u00fcrat\\\" denir. S\u00fcrat, birimli olarak al\u0131n\u0131r. Birimleri km\/sa, m\/dk ve m\/sn ola- rak al\u0131n\u0131r. Bu birimler kendi aralar\u0131nda d\u00f6n\u00fc\u015ft\u00fcr\u00fclebilir. 1 km \u2192 1000 m 1 m \u2192 100 cm 1 sa \u2192 60 dk 1 dk \u2192 60 sn 1 sa \u2192 3600 sn \u00d6rne\u011fin; 8 saatte 720 km yol al\u0131nm\u0131\u015f. Arac\u0131n birim saatte ald\u0131\u011f\u0131 yolu bulal\u0131m ve buldu\u011fumuz birimi m\/sn cinsinden g\u00f6s- terelim. 720 km 720 20 8 sa 8 720 km 720 x 1000 m = km\/sa = 90 km\/sa 8 sa = 8 x 3600 sn = 25 m\/sn 1 Bu ara\u00e7 1 saatte 90 km, 1 saniyede 25 m yol al\u0131yor. Fatih,\t180\tmetreyi\t30\tsaniyede\tko\u015fuyor. Fatih'in ko\u015ftu\u011fu mesafenin, s\u00fcreye oran\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A) 6\tsn\/m B) 6\tm\/sn C) 8\tm\/sn D) 10\tsn\/m 4. 1 kilowatt (kW) = 1000 Watt (W) Saatte t\u00fcketti\u011fi enerji miktar\u0131 1,5 kW\/sa olan bir buzdolab\u0131 yerine, saniyede t\u00fcketti\u011fi enerji miktar\u0131 0,25 W\/sn olan bir buzdolab\u0131 kullan\u0131l\u0131rsa 1 saatte yap\u0131lan enerji tasarrufu ka\u00e7 W olur? A) 500 B) 600 C) 700 D) 900 6. S\u0131n\u0131f F\u00d6Y - 25","- ETK\u0130NL\u0130K 33 - A\u015fa\u011f\u0131da verilen birimli oranlar\u0131, istenilen birimlere d\u00f6n\u00fc\u015ft\u00fcr\u00fcn\u00fcz. a)\t\t45\tkm\/sa\t=\t...................\tm\/sn\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tb)\t\t180\tkm\/sa\t=\t...................\tm\/sn\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tc)\t\t120\tkm\/sa\t=\t...................\tm\/dk d)\t\t1,2\tm\/dk\t=\t...................\tcm\/sn\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\te)\t\t30\tm\/sn\t=\t...................\tmm\/sn 5.\t Bir\tpasta\tat\u00f6lyesinde\tbir\tustan\u0131n\tpasta\t\u00fcretme\th\u0131z\u0131\t20\tadet\/hafta,\t\u00e7\u0131ra\u011f\u0131n\u0131n\tise\tpasta\t\u00fcretme\th\u0131z\u0131\t18\tadet\/haftad\u0131r. Buna g\u00f6re ikisi birlikte 84 g\u00fcnde ka\u00e7 adet pasta \u00fcretir? A) 456 B) 482 C) 524 D) 630 6.\t A\u015fa\u011f\u0131da\tverilen\tiki\tkapta\tbir\tmiktar\tsu\tvard\u0131r. 1.\tkapta\tbulan\tsuyun\t2.\tkapta\tbulunan\tsuya\toran\u0131\t 4 'tir\tve\t1.\tkapta\t80\tL\tsu\tvard\u0131r. 5 80\tL 1.\tkap 2.\tkap 1. kaptaki 10 L su, 2. kaba aktar\u0131ld\u0131\u011f\u0131na g\u00f6re son durumda 2. kaptaki su miktar\u0131n\u0131n toplam su miktar\u0131na oran\u0131 ka\u00e7t\u0131r? (Kaplarda\tta\u015fma\tolmam\u0131\u015ft\u0131r.) A) 7 B) 1 C) 7 D) 11 11 18 18 F\u00d6Y - 25 6. S\u0131n\u0131f","7.\t 76 litre, a\u015fa\u011f\u0131dakilerden hangisi ile oranlan\u0131rsa birimli oran elde edilemez? A) 10 TL\u2001 B) 49 m\u2001 C) 150 mL\u2001 D) 3 saat 8.\t A\u015fa\u011f\u0131daki tabloda kek yap\u0131m\u0131nda kullan\u0131lan malzemeler ve miktarlar\u0131 verilmi\u015ftir. Tablo: Kek Yap\u0131m\u0131nda Kullan\u0131lan Malzemeler ve Miktarlar\u0131 Malzeme Miktar\u0131 Yumurta 3 adet 200 mL S\u00fct 200 g \u015eeker 500 g 100 mL Un 1 paket S\u0131v\u0131 ya\u011f Vanilya Bu tabloya g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi birimsiz oran\u0131 verir? A) S\u0131v\u0131 ya\u011f miktar\u0131\u2001 B) \u015eeker miktar\u0131 \u2001 C) Vanilya miktar\u0131\u2001 D) S\u00fct miktar\u0131 S\u00fct miktar\u0131 Yumurta miktar\u0131 Un miktar\u0131 \u015eeker miktar\u0131 9.\t A\u015fa\u011f\u0131daki tabloda ayn\u0131 anda kampa giden 4 grubun ki\u015fi say\u0131s\u0131, g\u00fcnl\u00fck t\u00fcketecekleri toplam yemek miktarlar\u0131 ve bir ki\u015finin yi- yece\u011fi yemekten alaca\u011f\u0131 kalori miktarlar\u0131 verilmi\u015ftir. Tablo: Kamptaki Gruplarda Bulunan Ki\u015filerin Yiyece\u011fi Yemek Miktarlar\u0131 ve Al\u0131nacak Kalori Miktarlar\u0131 Grup Ki\u015fi Say\u0131s\u0131 Gruba Verilen Yemek Miktar\u0131 (kg) Ki\u015fi Ba\u015f\u0131na D\u00fc\u015fen Yemek Miktar\u0131ndan Al\u0131nacak Kalori Miktar\u0131 (kcaL) A 15 10 256 B 24 15 372 C 36 17,5 335 D 42 12,5 196 Buna g\u00f6re a\u015fa\u011f\u0131da verilen ifadelerden hangisinde birimsiz oran kullan\u0131lm\u0131\u015ft\u0131r? A) C grubunda bir ki\u015finin yenilen yemekten alaca\u011f\u0131 kalori miktar\u0131n\u0131n, gruptaki ki\u015fi say\u0131s\u0131na oran\u0131 335 kcaL 'dir.\u2001 36 ki\u015fi B) A grubunda verilen toplam yemek miktar\u0131n\u0131n, C grubunda verilen toplam yemek miktar\u0131na oran\u0131 10 kg 'd\u0131r.\u2001 17,5 kg C) B grubunda bir ki\u015finin yenilen yemekten alaca\u011f\u0131 kalori miktar\u0131n\u0131n, gruba verilen toplam yemek miktar\u0131na oran\u0131 372 kcaL 'd\u0131r.\u2001 15 kg D) A grubunda bulunan ki\u015fi say\u0131s\u0131n\u0131n, t\u00fcm gruplara verilen toplam yemek miktar\u0131na oran\u0131 15 ki\u015fi 'd\u0131r. 55 kg 6. S\u0131n\u0131f F\u00d6Y - 25","26. f\u00f6y \u2022 S\u00f6zel olarak verilen bir duruma uygun cebirsel ifade ve veri- len bir cebirsel ifadeye uygun s\u00f6zel bir durum yazar. 3388 1. En az bir de\u011fi\u015fken ve i\u015flem i\u00e7eren ifadelere \\\"cebirsel ifade\\\" denir. Cebirsel ifadelerde, say\u0131lar\u0131 temsil etmek i\u00e7in kullan\u0131lan harf ya da sembollere \\\"de\u011fi\u015fken\\\" denir. \u00d6rne\u011fin; \\\"2x + 5\\\" ifadesinde x bir de\u011fi\u015fkendir ve \\\"2x + 5\\\" cebirsel ifadedir. Buna g\u00f6re a\u015fa\u011f\u0131da verilenlerden hangisi bir cebirsel ifadedir? A) 5.(3\t+\t2)\t-\t8.(2\t+\t7)\t B) 8.[(3\t-\t2)\t+\t2.(5\t+\t1)]\t+\t216\t C) 358\t+\t2a\t D)\t8\t+\t3\t-\t5\t+\t12.3\t\u00f7 6 2. Bir cebirsel ifadede \\\"+\\\" ya da \\\"\u2212\\\" ile ayr\u0131lan i\u015flemlerin her birine \\\"terim\\\" ad\u0131 verilir. De\u011fi\u015fkenin \u00f6n\u00fcndeki say\u0131ya (i\u015fareti ile birlikte) \\\"katsay\u0131\\\" denir. De\u011fi\u015fkeni olmayan ifadeye ise \\\"sabit terim\\\" denir. Sabit terim de ayn\u0131 zamanda bir kat- say\u0131d\u0131r. \u00d6rne\u011fin; 4a \u2212 b + 5 cebirsel ifadesinde, Terimler: 4a, \u2212b, +5 Katsay\u0131lar: 4, \u22121, +5 De\u011fi\u015fkenler: a, b Sabit terim: +5 olarak bulunur. Buna g\u00f6re \\\"8k \u2212 m + 3\\\" cebirsel ifadesinin terim say\u0131s\u0131, katsay\u0131lar\u0131, sabit terimi ve de\u011fi\u015fkenleri hangi se\u00e7enekte do\u011f- ru olarak verilmi\u015ftir? A) Terim\tsay\u0131s\u0131\t: 3 B) Terim\tsay\u0131s\u0131\t: 3 C) Terim\tsay\u0131s\u0131\t: 3 D) Terim\tsay\u0131s\u0131\t: 4 Katsay\u0131lar\u0131\t\t\t:\t8,\t\u22121 Katsay\u0131lar\u0131\t\t\t:\t8,\t\u22121,\t3 Katsay\u0131lar\u0131\t\t\t:\t8,\t1,\t3 Katsay\u0131lar\u0131\t\t\t:\t10 Sabit\tterim\t\t\t:\t+3 Sabit\tterim\t\t\t:\t+3 Sabit\tterim\t\t\t:\t+3 Sabit\tterim\t\t\t:\t+3 De\u011fi\u015fkenler\t:\tk,\tm De\u011fi\u015fkenler\t:\tk,\tm De\u011fi\u015fkenler\t:\t8k,\t\u2212m De\u011fi\u015fkenler\t:\tk,\tm 3. De\u011fi\u015fken k\u0131sm\u0131 ayn\u0131 olan terimlere \\\"benzer terim\\\" denir. \u00d6rne\u011fin; 5x \u2212 xy2 \u2212 8x + 3xy2 ayn\u0131 renktekilere benzer terim deriz. Benzer terim Benzer terim Buna g\u00f6re a\u015fa\u011f\u0131daki cebirsel ifadelerden hangisi benzer terimler de\u011fildir? A) 4k\tve\t\u22123k\t B) 3ab2\tve\t9a2b C) \u2212xz\tve\t 4xz D) m\tve\t\u22123m 3 4 6. S\u0131n\u0131f F\u00d6Y - 26","4. 5x \u2212 12y + 13 cebirsel ifadesi ile ilgili, III. IV. I. II. C) I,\tIII\tve\tIV D) I,\tII,\tIII\tve\tIV ifadelerinden hangileri do\u011frudur? A) I\tve\tIV B) I,\tII\tve\tIII 5. \\\"k\t\u2212\t13\\\" cebirsel ifadesine uygun s\u00f6zel durum a\u015fa\u011f\u0131dakilerden hangisi olabilir? A) \tHar\u00e7l\u0131\u011f\u0131m\u0131n\t13\tkat\u0131\t \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tB) \t13\tlitresi\tkullan\u0131lan\tyak\u0131t\u0131n\tgeri\tkalan\u0131\t C) \tAhmet'in\tkalemlerinin\t13\tfazlas\u0131\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\tD)\t\t13\t\u015fekerden\tbir\tmiktar\tyenince\tkalan\u0131 6. \\\"Bah\u00e7edeki\ta\u011fa\u00e7lar\u0131n\t10\teksi\u011finin\tyar\u0131s\u0131\\\" s\u00f6zel durumu- 7. t2 + 11 cebirsel ifadesine uygun s\u00f6zel durum a\u015fa\u011f\u0131da- na uygun cebirsel ifade a\u015fa\u011f\u0131dakilerden hangisidir? 4 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 y 10\t\u2212\ty kilerden hangisi olabilir? 2 2 A) \t\u2212\t10\t B) C) y\t\u2212\t2 D) y\t\u2212\t10 A)\t\tBir\tsay\u0131n\u0131n\t11\tfazlas\u0131n\u0131n\t4'te\t1'i\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t 10 2 B)\t\tBir\tsay\u0131n\u0131n\tkaresinin\t\u00e7eyre\u011finin\t11\tfazlas\u0131 C)\t\tBir\tsay\u0131n\u0131n\tkaresinin\t11\tfazlas\u0131n\u0131n\t\u00e7eyre\u011fi\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t D)\t\tBir\tsay\u0131n\u0131n\t\u00e7eyre\u011finin\t11\tfazlas\u0131 - ETK\u0130NL\u0130K 34 - A\u015fa\u011f\u0131da verilen s\u00f6zel durumlar\u0131, kar\u015f\u0131lar\u0131ndaki cebirsel ifadeler ile e\u015fle\u015ftirelim. a.\t\tOrmandaki\ta\u011fa\u00e7\tsay\u0131s\u0131n\u0131n\t75\tfazlas\u0131 1.\t\t8(x\t+\t3) 2.\t\t( x 3 b.\t\tFatma'n\u0131n\tk\u00fcpelerinin\t8\tkat\u0131n\u0131n\t3\tfazlas\u0131 2 ) c.\t\tBir\tsay\u0131n\u0131n\tyar\u0131s\u0131n\u0131n\tk\u00fcp\u00fc 3.\t\tx \u2212 75 4.\t\t8x\t+\t3 d.\t\tAhmet'in\ttoplar\u0131n\u0131n\t3\tfazlas\u0131n\u0131n\t8\tkat\u0131 e.\t\t75\tkm\tgidilen\tyoldan\tgeri\tkalan\u0131 5.\t\t( x3 ) 6.\t\tx\t+\t75 f.\t\tBir\tsay\u0131n\u0131n\tk\u00fcp\u00fcn\u00fcn\tyar\u0131s\u0131 2 F\u00d6Y - 26 6. S\u0131n\u0131f","8.\t T\u00fclay Han\u0131m, k\u0131\u015f haz\u0131rl\u0131klar\u0131 i\u00e7in 4 kavanoz biber sal\u00e7as\u0131, 3 kavanoz domates sal\u00e7as\u0131, 4 kavanoz ise domates sosu haz\u0131rlam\u0131\u015f- t\u0131r. Biber Domates Domates Sal\u00e7as\u0131 Sal\u00e7as\u0131 Sosu x cm y cm 3 cm T\u00fclay Han\u0131m, haz\u0131rlad\u0131\u011f\u0131 kavanozlar\u0131 bir rafa aralar\u0131nda bo\u015fluk kalmayacak \u015fekilde yan yana dizmek istiyor. Buna g\u00f6re yan yana dizilen kavanozlar\u0131n uzunlu\u011fu ka\u00e7 cm olur? A) 4x + 3y + 4\u2001 B) 4x + 3y + 12\u2001 C) 3x + 4y + 12\u2001 D) 4x + 4y + 12 9.\t Ceyhun, \u015eekil - I'de verilen 10t uzunlu\u011fundaki tel ile \u015eekil - II'deki kare ve e\u015fkenar \u00fc\u00e7geni olu\u015fturmak istiyor. 10t \u015eekil - I \u015eekil - II \u015eekil - I'de verilen teli iki e\u015f par\u00e7aya ay\u0131rarak biri ile kare, di\u011feri ile e\u015fkenar \u00fc\u00e7gen yap\u0131yor. Buna g\u00f6re kare ve e\u015fkenar \u00fc\u00e7genin s\u0131ras\u0131yla bir kenar uzunlu\u011fu ne kadard\u0131r? A) 10t ve 10t \u2001 B) 5t ve 5t\u2001 C) t ve 2t\u2001 D) 5t ve 5t 43 4 43 - ETK\u0130NL\u0130K 35 - A\u015fa\u011f\u0131da verilen cebirsel ifadelere uygun s\u00f6zel durumlar yaz\u0131n\u0131z. a. 5a + 2 b. 7(x \u2212 4) c. 4b3+ 2 d. k + 5 4 e. 4y + (y \u2212 3) f. 4(m + 3) \u2212 5 F\u00d6Y - 26 6. S\u0131n\u0131f","10.\tKurban bayram\u0131 i\u00e7in b\u00fcy\u00fckba\u015f bir hayvan almak isteyen 7 ki\u015filik bir grup, hayvan\u0131n A lira oldu\u011funu \u00f6\u011freniyor. Pazarl\u0131k yaparak 2000 lira indirim yapt\u0131r\u0131l\u0131yor. Buna g\u00f6re hayvan i\u00e7in 1 ki\u015finin \u00f6deyece\u011fi miktar\u0131 veren cebirsel ifade a\u015fa\u011f\u0131dakilerden hangisidir? A) A \u2212 72000\u2001 B) A \u2212 2000\u2001 C) 7A \u2212 2000\u2001 D) 2000A 7 7 11.\tA\u015fa\u011f\u0131da bir masa, masan\u0131n \u00fcst\u00fcnde f\u0131r\u0131n ve f\u0131r\u0131n\u0131n yan\u0131nda ise bir bardak vard\u0131r. F\u0131r\u0131n Bardak 3y Masa Masan\u0131n dikey uzunlu\u011fu 3y birimdir. F\u0131r\u0131n\u0131n dikey uzunlu\u011fu ise masan\u0131n dikey uzunlu\u011fundan 5 birim eksiktir. Barda\u011f\u0131n dikey uzunlu\u011fu ise f\u0131r\u0131n\u0131n dikey uzunlu\u011funun 3 kat\u0131n\u0131n \u00e7eyre\u011fi kadard\u0131r. Buna g\u00f6re barda\u011f\u0131n dikey uzunlu\u011funu veren cebirsel ifade a\u015fa\u011f\u0131dakilerden hangisidir? A) (3y \u2212 5).3\u2001 B) 4.(3y \u2212 5) \u2001 C) 3.(3y \u2212 5) \u2001 D) 3 ( 3y \u2212 5) 3 4 4 12.\tA\u015fa\u011f\u0131da baz\u0131 cebirsel ifadelerin modelleri verilmi\u015ftir. Ye\u015fil K\u0131rm\u0131z\u0131 Mavi Sar\u0131 +1 xy z Turuncu Yukar\u0131da verilenler ile a\u015fa\u011f\u0131daki cebirsel modeller olu\u015fturulmu\u015ftur. \u22121 I. II. III. IV. Buna g\u00f6re a\u015fa\u011f\u0131daki cebirsel ifadelerden hangisi yukar\u0131da olu\u015fturulan modellerden birine ait de\u011fildir? A) x + 2z\u2001 B) x + y + z \u2212 4\u2001 C) x + 2y + 4\u2001 D) x + y + z 6. S\u0131n\u0131f F\u00d6Y - 26","30. f\u00f6y \u2022 A\u00e7\u0131y\u0131 ba\u015flang\u0131\u00e7 noktalar\u0131 ayn\u0131 olan iki \u0131\u015f\u0131n\u0131n olu\u015fturdu\u011fu \u015fekil olarak tan\u0131r ve sembollerle g\u00f6sterir. \u2022 Bir a\u00e7\u0131ya e\u015f bir a\u00e7\u0131 \u00e7izer. Kareli k\u00e2\u011f\u0131t \u00fczerinde \u00e7al\u0131\u015f\u0131lmas\u0131 istenir. Bununla birlikte a\u00e7\u0131\u00f6l\u00e7er ve benzeri ara\u00e7lar kullan\u0131labilir. 3392 1.\t Ba\u015flang\u0131\u00e7 noktalar\u0131 ayn\u0131 olan iki \u0131\u015f\u0131n, a\u00e7\u0131 olu\u015fturur. \u0130ki \u0131\u015f\u0131n\u0131n ortak ba\u015flang\u0131\u00e7 noktas\u0131na \\\"a\u00e7\u0131n\u0131n k\u00f6\u015fesi\\\" denir. I\u015f\u0131nlara ise \\\"a\u00e7\u0131- n\u0131n kenar\u0131\\\" veya \\\"a\u00e7\u0131n\u0131n kolu\\\" denir. A\u00e7\u0131n\u0131n kenar\u0131 veya a\u00e7\u0131n\u0131n kolu A A\u00e7\u0131 O A\u00e7\u0131n\u0131n kenar\u0131 veya a\u00e7\u0131n\u0131n kolu A\u00e7\u0131n\u0131n k\u00f6\u015fesi B A\u00e7\u0131lar\u0131 farkl\u0131 \u015fekillerde isimlendirebilir veya farkl\u0131 semboller ile g\u00f6sterebiliriz. Mesela yukar\u0131da olu\u015fan a\u00e7\u0131y\u0131, AOB a\u00e7\u0131s\u0131 \u2192 A\u00e9OB BOA a\u00e7\u0131s\u0131 \u2192 B\u00e9OA O a\u00e7\u0131s\u0131 \u2192 O\u00eb \u015feklinde isimlendirebilir veya farkl\u0131 semboller ile g\u00f6sterebiliriz. Buna g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi KML a\u00e7\u0131s\u0131na aittir? A) M\u2001 B) K\u2001 C) L \u2001 D) L MK Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 KL KM LM 2.\t P 3.\t A B Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 D FE C G RS A\u015fa\u011f\u0131dakilerden hangisi yukar\u0131da verilen a\u00e7\u0131 g\u00f6ste- Yukar\u0131da verilen \u015fekilde a\u015fa\u011f\u0131daki a\u00e7\u0131lardan hangisi rimlerinden biri de\u011fildir? yoktur? A) P\u00e9RS\u2001 B) \u00ebR\u2001 C) P\u00e9SR\u2001 D) S\u00e9RP A) G\u00e9FE\u2001 B) C\u00e9DF\u2001 C) A\u00e9BC\u2001 D) E\u00e9DA F\u00d6Y - 30 6. S\u0131n\u0131f","4. A\u00e7\u0131y\u0131 olu\u015fturan iki \u0131\u015f\u0131n aras\u0131ndaki a\u00e7\u0131kl\u0131\u011fa \\\"a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc\\\" denir. A\u00e7\u0131 \u00f6l\u00e7\u00fc birimlerinden biri derece (\u00b0) dir. A\u00e7\u0131lar\u0131n \u00f6l\u00e7\u00fcleri \\\"a\u00e7\u0131\u00f6l- \u00e7er (iletki)\\\" yard\u0131m\u0131yla \u00f6l\u00e7\u00fcl\u00fcr. Bir AOB a\u00e7\u0131s\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc sembolle s(A\u00e9OB) veya m(A\u00e9OB) \u015feklinde g\u00f6sterilir. \u00d6rne\u011fin; A O m(A\u00e9OB) = 40\u00b0, 40\u00b0 s(A\u00e9OB) = 40\u00b0 veya m(O\u00eb ) = 40\u00b0 \u015feklinde g\u00f6sterilir. B Buna g\u00f6re a\u015fa\u011f\u0131daki e\u015fle\u015ftirmelerden hangisi yanl\u0131\u015ft\u0131r? A) B) P C) D) K D A 35\u00b0 M R 60\u00b0 E 135\u00b0 BC L m(A\u00e9BC) = 90\u00b0 S F KLM\t=\t35 m(\u00ebR) = 60\u00b0 m(D\u00e9EF)\t=\t135\u00b0 5. Bir a\u00e7\u0131n\u0131n kollar\u0131 aras\u0131nda kalan b\u00f6lgelere \\\"a\u00e7\u0131n\u0131n i\u00e7i\\\" ya da \\\"a\u00e7\u0131n\u0131n i\u00e7 b\u00f6lgesi\\\", a\u00e7\u0131 ile a\u00e7\u0131n\u0131n i\u00e7 b\u00f6lgesi d\u0131\u015f\u0131nda kalan b\u00f6lgele- re ise \\\"a\u00e7\u0131n\u0131n d\u0131\u015f\u0131\\\" veya \\\"a\u00e7\u0131n\u0131n d\u0131\u015f b\u00f6lgesi\\\" denir. A\u00e7\u0131n\u0131n d\u0131\u015f b\u00f6lgesi A A\u00e7\u0131n\u0131n i\u00e7 b\u00f6lgesi O B A\u00e7\u0131n\u0131n kollar\u0131 \u00fczerinde bulunan noktalar, a\u00e7\u0131n\u0131n i\u00e7 veya d\u0131\u015f b\u00f6lgesine ait de\u011fildir. Buna g\u00f6re a\u015fa\u011f\u0131daki a\u00e7\u0131lardan hangisinin i\u00e7 b\u00f6lgesindeki nokta say\u0131s\u0131, d\u0131\u015f b\u00f6lgesindeki nokta say\u0131s\u0131ndan fazlad\u0131r? A) B) P K \u2022a \u2022b M \u2022a \u2022d \u2022e \u2022 n f\t\u2022 \u2022\tc \u2022\th \u2022e \u2022\tc \u2022\u00e7 \u2022b R \u2022\tm \u2022\td \u2022\tg \u2022 f \u2022\tg \u2022\th S L C) K D) S \u2022a \u2022\td \u2022 e \u2022\tm \u2022\th \u2022\td \u2022 e \u2022 b \u2022\tc M \u2022\th \u2022\tf \u2022\tg \u2022\u00e7 B \u2022\tc \u2022a R \u2022\tf \u2022\u00e7 \u2022b R 6. S\u0131n\u0131f F\u00d6Y - 30","- ETK\u0130NL\u0130K 40 - 1. A\u015fa\u011f\u0131da verilen a\u00e7\u0131lara g\u00f6re tablolar\u0131 doldurunuz. R A\u00e7\u0131n\u0131n A\u00e7\u0131n\u0131n K A\u00e7\u0131n\u0131n A\u00e7\u0131n\u0131n \u0130smi Sembol\u00fc \u0130smi Sembol\u00fc 1 2 1 B 3 R 2 P S 3 2. A\u015fa\u011f\u0131da kareli zemin \u00fczerinde verilen a\u00e7\u0131lara e\u015f birer adet a\u00e7\u0131 olu\u015fturunuz. A K B M C L 6.\t \u00d6l\u00e7\u00fcleri birbirine e\u015fit olan a\u00e7\u0131lara \\\"e\u015f a\u00e7\u0131lar\\\" denir. 8.\t C \u00d6rne\u011fin; m(K\u00eb ) = 80\u00b0 ve m(M\u00eb ) = 80\u00b0 ise, K ve M a\u00e7\u0131lar\u0131 e\u015f B D a\u00e7\u0131lard\u0131r. AD B x \u2212 15\u00b0 45\u00b0 E AE Yukar\u0131da \u0131\u015f\u0131nlarla olu\u015fturulmu\u015f ka\u00e7 farkl\u0131 a\u00e7\u0131 vard\u0131r? A) 3\u2001 B) 4\u2001 C) 5\u2001 D) 6 CF Yukar\u0131da verilen ABC a\u00e7\u0131s\u0131 ile DEF a\u00e7\u0131s\u0131 e\u015f a\u00e7\u0131lar ol- du\u011funa g\u00f6re x ka\u00e7 derecedir? A) 45\u00b0\u2001 B) 55\u00b0\u2001 C) 60\u00b0\u2001 D) 65\u00b0 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 7.\t R \u2022A 9.\t \u00d6l\u00e7\u00fcs\u00fc 90\u00b0 olan a\u00e7\u0131lara \\\"dik a\u00e7\u0131\\\", 90\u00b0 den k\u00fc\u00e7\u00fck olan a\u00e7\u0131- PS \u2022 K \u2022 L \u2022M N\u2022 lara \\\"dar a\u00e7\u0131\\\", 90\u00b0 den b\u00fcy\u00fck olan a\u00e7\u0131lara ise geni\u015f a\u00e7\u0131 de- nir. Ba\u015flang\u0131\u00e7 noktas\u0131 A olan iki \u0131\u015f\u0131n, hangi noktalardan ge\u00e7erse PRS a\u00e7\u0131s\u0131na e\u015f bir a\u00e7\u0131 olu\u015fmu\u015f olur? Bu bilgiden yola \u00e7\u0131karak m(\u00ebA) dar a\u00e7\u0131, m(\u00ebB) geni\u015f a\u00e7\u0131 oldu\u011funa g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi do\u011frudur? A) K - N\u2001 B) K - M\u2001 C) L - N\u2001 D) M - N A) m(\u00ebB), 90\u00b0 olabilir.\u2001 F\u00d6Y - 30 B) m(\u00ebA) > m(\u00ebB) C) m(\u00ebA), 81\u00b0 olabilir.\u2001 D) B a\u00e7\u0131s\u0131, A a\u00e7\u0131s\u0131ndan k\u00fc\u00e7\u00fckt\u00fcr. 6. S\u0131n\u0131f","10.\tA\u015fa\u011f\u0131daki\tg\u00f6rselde,\tbir\tbasketbol\tsahas\u0131nda\toyun\tesna- 12.\tA\u015fa\u011f\u0131da,\tk\u00f6pr\u00fcye\tdestek\tsa\u011flayan\thalatlar\tve\tba\u011flant\u0131\t s\u0131nda\toyuncular\u0131n\tkonumunu\tg\u00f6steren\tnoktalar\tverilmi\u015f- noktalar\u0131\tg\u00f6sterilmi\u015ftir. tir. O \u2022R \u2022K \u2022M AB E CD \u2022B \u2022A Bu\toyun\ts\u0131ras\u0131nda\tK\tnoktas\u0131ndaki\toyuncu,\tB\tnoktas\u0131nda- Halatlar\u0131n\t olu\u015fturdu\u011fu\t A\u00e9OB,\t B\u00e9OE,\t E\u00e9OC\t ve\t C\u00e9OD\t a\u00e7\u0131lar\u0131\t ki\toyuncuya\tpas\tatm\u0131\u015ft\u0131r.\tArd\u0131ndan\ttop;\ts\u0131ras\u0131\tile\tA,\tR\tve\t e\u015f\ta\u00e7\u0131lard\u0131r. M\tnoktalar\u0131ndaki\toyunculara\tgelerek\tpas\tak\u0131\u015f\u0131\tsay\u0131\t(bas- ket)\tile\tsonu\u00e7lanm\u0131\u015ft\u0131r. Buna g\u00f6re m(B\u00e9OE) = 42\u00b0 ise m(A\u00e9OD) ka\u00e7 derecedir? (K\u00f6pr\u00fc\tdire\u011finin\tkal\u0131nl\u0131\u011f\u0131\tyok\tsay\u0131lacakt\u0131r.) Buna g\u00f6re oyuncular\u0131n topu pas att\u0131\u011f\u0131 do\u011frultuda s\u0131- rayla do\u011frular \u00e7izilirse a\u015fa\u011f\u0131da isimleri sembolle ve- A) 168 B) 90 C) 84 D) 42 rilen a\u00e7\u0131lardan hangisi olu\u015fmaz? A) K\u00e9BR B) B\u00e9AR C) K\u00e9BA D) A\u00e9RM Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 13. K 180\u00b0 M L Ali'nin\todas\u0131ndaki\taynaya\tyans\u0131tt\u0131\u011f\u0131\tlazer\t\u0131\u015f\u0131\u011f\u0131n\u0131n\tve\tyan- s\u0131mas\u0131n\u0131n\tizledi\u011fi\tdo\u011frusal\tyol\ta\u015fa\u011f\u0131da\tverilmi\u015ftir. LA 11. \u2022 A \u2022 B \u2022 C K OC 67\u00b0 \u2022D MB E \u2022E M\u00e9KB ve L\u00e9KA e\u015f a\u00e7\u0131lar oldu\u011funa ve AB do\u011frusu do\u011f- \u2022\tF ru a\u00e7\u0131 olu\u015fturdu\u011funa g\u00f6re LKM a\u00e7\u0131s\u0131 ka\u00e7 derecedir? Kareli zemin \u00fczerinde verilen A, B, C, D, E ve F nokta- lar\u0131yla olu\u015fturulan a\u00e7\u0131lardan hangisi E\u00e9OC'na e\u015fittir? A) A\u00e9BE B) F\u00e9BA C) D\u00e9EC D) C\u00e9EF A) 46 B) 64 C) 67 D) 80 6. S\u0131n\u0131f F\u00d6Y - 30","31. f\u00f6y \u2022 Kom\u015fu, t\u00fcmler, b\u00fct\u00fcnler ve ters a\u00e7\u0131lar\u0131n \u00f6zelliklerini ke\u015ffe- der, ilgili problemleri \u00e7\u00f6zer. 3393 1.\t K\u00f6\u015fesi ve bir kenar\u0131 ortak olan A 3.\t \u00d6l\u00e7\u00fcleri toplam\u0131 90\u00b0 olan ve kom\u015fu olan a\u00e7\u0131lara \\\"kom\u015fu a\u00e7\u0131lara \\\"kom\u015fu a\u00e7\u0131lar\\\" denir. t\u00fcmler a\u00e7\u0131lar\\\" denir. Yandaki A\u00e9OB ile B\u00e9OC'n\u0131n OB B K kenar\u0131 ortak oldu\u011fu i\u00e7in bu iki P a\u00e7\u0131 kom\u015fu a\u00e7\u0131lard\u0131r. O 60\u00b0 B M 30\u00b0 CC B K\u00e9MP ve P\u00e9MB, hem kom\u015fu hem de toplamlar\u0131 90\u00b0 oldu- \u011fundan bu iki a\u00e7\u0131 kom\u015fu t\u00fcmler a\u00e7\u0131lard\u0131r. D A\u00e9BC ile C\u00e9BD kom\u015fu t\u00fcmler a\u00e7\u0131 oldu\u011funa g\u00f6re a\u015fa\u011f\u0131- E dakilerden hangisi do\u011fru olabilir? A A) A C F B 70\u00b0 C 20\u00b0 B Buna g\u00f6re yukar\u0131da olu\u015fan kom\u015fu a\u00e7\u0131lar hangi se\u00e7e- \u2001 D nekte do\u011fru olarak verilmi\u015ftir? B) Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 A A) A\u00e9BC ile F\u00e9BA\u2001 B) F\u00e9ED ile C\u00e9BF, A\u00e9BF ile F\u00e9BC\u2001 C) A\u00e9BF ile F\u00e9BC, F\u00e9ED ile D\u00e9EB\u2001 D) D\u00e9EF ile B\u00e9ED B 40\u00b0 D C 2.\t \u00d6l\u00e7\u00fcleri toplam\u0131 90\u00b0 olan iki a\u00e7\u0131ya \\\"t\u00fcmler a\u00e7\u0131\\\" denir. C) C \u00d6rne\u011fin; m(A\u00e9OB) = 50\u00b0 ve m(D\u00e9EC), m(A\u00e9OB) n\u0131n t\u00fcmleri A D ise m(D\u00e9EC) = 40\u00b0 olur. 68\u00b0 A B 22\u00b0 D 50\u00b0 B 40\u00b0 C D) O E A Verilen bilgiye g\u00f6re \u00f6l\u00e7\u00fcs\u00fc 62\u00b0 olan bir a\u00e7\u0131n\u0131n t\u00fcmleri 85\u00b0 C ka\u00e7 derecedir? B 29\u00b0 D A) 18\u00b0\u2001 B) 28\u00b0\u2001 C) 38\u00b0\u2001 D) 48\u00b0 F\u00d6Y - 31 6. S\u0131n\u0131f","4.\t \u00d6l\u00e7\u00fcleri toplam\u0131 180\u00b0 olan iki a\u00e7\u0131ya \\\"b\u00fct\u00fcnler a\u00e7\u0131\\\" denir. 6.\t Kesi\u015fen iki do\u011fruda olu\u015fan a\u00e7\u0131larda kom\u015fu olmayan a\u00e7\u0131- KD lara \\\"ters a\u00e7\u0131lar\\\" denir. Ters a\u00e7\u0131lar\u0131n \u00f6l\u00e7\u00fcleri birbirine e\u015fit- tir. \u00d6rne\u011fin; A 35\u00b0 145\u00b0 F E BD ML E C m(K\u00e9LM) + m(D\u00e9EF) = 180\u00b0 oldu\u011fundan bu iki a\u00e7\u0131 b\u00fct\u00fcnler burada olu\u015fan ABD a\u00e7\u0131s\u0131 ile EBC a\u00e7\u0131s\u0131, ters a\u00e7\u0131lard\u0131r. a\u00e7\u0131lard\u0131r. s(A\u00e9BD) = s(E\u00e9BC) olur. Ayn\u0131 zamanda EBA a\u00e7\u0131s\u0131 ile CBD a\u00e7\u0131s\u0131 da ters a\u00e7\u0131lard\u0131r. Ayr\u0131ca \u00f6l\u00e7\u00fcleri toplam\u0131 180\u00b0 olan kom\u015fu a\u00e7\u0131lara \\\"kom\u015fu s(E\u00e9BA) = s(C\u00e9BD) b\u00fct\u00fcnler a\u00e7\u0131\\\" denir. C A 120\u00b0 60\u00b0 B AK D 100\u00b0 \u2212 a L 68\u00b0 + b D 70\u00b0 B 122\u00b0 m(A\u00e9CD) + m(B\u00e9CD) = 180\u00b0 ve bu iki a\u00e7\u0131 kom\u015fu oldu\u011fun- P dan, bu a\u00e7\u0131lar kom\u015fu b\u00fct\u00fcnler a\u00e7\u0131lard\u0131r. C M Verilen bilgiye g\u00f6re \u00f6l\u00e7\u00fcs\u00fc 83\u00b0 olan a\u00e7\u0131n\u0131n b\u00fct\u00fcnler ABL a\u00e7\u0131s\u0131 ile CBD a\u00e7\u0131s\u0131 ve KLP a\u00e7\u0131s\u0131 ile MLB a\u00e7\u0131s\u0131 ters a\u00e7\u0131s\u0131 ka\u00e7 derecedir? a\u00e7\u0131lar oldu\u011funa g\u00f6re a + b i\u015fleminin sonucu ka\u00e7t\u0131r? A) 7\u00b0\u2001 B) 27\u00b0\u2001 C) 87\u00b0\u2001 D) 97\u00b0 A) 52\u2001 B) 84\u2001 C) 100\u2001 D) 192 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 5.\t A\u015fa\u011f\u0131da verilen PRS ve SRT a\u00e7\u0131lar\u0131, kom\u015fu b\u00fct\u00fcnler a\u00e7\u0131- - ETK\u0130NL\u0130K 41 - lard\u0131r. A\u015fa\u011f\u0131da verilen \u015fekle g\u00f6re tablodaki ifadelerden do\u011f- P ru olanlar\u0131n yan\u0131na \\\"D\\\", yanl\u0131\u015f olanlar\u0131n yan\u0131na \\\"Y\\\" yaz\u0131n\u0131z. KL a 50\u00b0 M d \u00e7 120\u00b0 e = 60\u00b0 S O c N b x + 45\u00b0 R D\/Y 1) a = \u00e7'dir. 102\u00b0 2) b a\u00e7\u0131s\u0131 ile c a\u00e7\u0131s\u0131, kom\u015fu b\u00fct\u00fcnler a\u00e7\u0131lard\u0131r. 3) d = 120\u00b0 dir. T 4) \u00e7 a\u00e7\u0131s\u0131 ile d a\u00e7\u0131s\u0131, t\u00fcmler a\u00e7\u0131lard\u0131r. 5) a a\u00e7\u0131s\u0131 130\u00b0 dir. Buna g\u00f6re x ka\u00e7t\u0131r? 6) e a\u00e7\u0131s\u0131 ile \u00e7 a\u00e7\u0131s\u0131, kom\u015fu t\u00fcmler a\u00e7\u0131lard\u0131r. 7) e = d'dir. A) 25\u2001 B) 33\u2001 C) 35\u2001 D) 43 6. S\u0131n\u0131f F\u00d6Y - 31","7.\t T\u00fcmleri ile b\u00fct\u00fcnlerinin toplam\u0131 110 olan say\u0131 ka\u00e7t\u0131r? 10.\tAli, masas\u0131nda a\u00e7\u0131k bir h\u00e2lde duran makas\u0131n\u0131n olu\u015fturdu- \u011fu a\u00e7\u0131y\u0131 merak etmi\u015f ve a\u00e7\u0131\u00f6l\u00e7er yard\u0131m\u0131 ile makas\u0131n olu\u015f- A) 50\u2001 B) 60\u2001 C) 70\u2001 D) 80 turdu\u011fu a\u00e7\u0131lar\u0131 \u00f6l\u00e7m\u00fc\u015ft\u00fcr. (9.a)\u00b0 144\u00b0 Makas\u0131n olu\u015fturdu\u011fu ters a\u00e7\u0131lar 144\u00b0 ve (9.a)\u00b0 oldu\u011fu- na g\u00f6re a ka\u00e7t\u0131r? A) 16\u2001 B) 17\u2001 C) 18\u2001 D) 19 8.\t T\u00fcmleri kendisinin 2 kat\u0131 olan a\u00e7\u0131 ka\u00e7 derecedir? A) 20\u2001 B) 30\u2001 C) 60\u2001 D) 90 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 11.\tA\u015fa\u011f\u0131da verilen saatlerin her dilimi 30\u00b0 yi ifade etmekte- dir. 1. saat 2. saat 3. saat 9.\t \u00d6l\u00e7\u00fcs\u00fc 180\u00b0 olan a\u00e7\u0131ya \\\"do\u011fru a\u00e7\u0131\\\" denir. C 180\u00b0 4. saat 5. saat 6. saat AB \u00d6rne\u011fin; ABC a\u00e7\u0131s\u0131, bir do\u011fru a\u00e7\u0131d\u0131r. K L Buna g\u00f6re saatlerde olu\u015fan a\u00e7\u0131lar ile ilgili a\u015fa\u011f\u0131daki 72\u00b0 ifadelerden hangisi yanl\u0131\u015ft\u0131r? RM A) 4. saatteki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ile 6. saatteki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc P t\u00fcmlerdir.\u2001 Yukar\u0131daki a\u00e7\u0131 modelinde KLM do\u011fru a\u00e7\u0131 ve P\u00e9LM ile B) 1. saatteki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ile 5. saatteki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc R\u00e9LP e\u015f a\u00e7\u0131lar oldu\u011funa g\u00f6re RLM a\u00e7\u0131s\u0131n\u0131n b\u00fct\u00fcnleri b\u00fct\u00fcnlerdir.\u2001 ka\u00e7 derecedir? C) 2. saatteki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ile 3. saatteki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc A) 36\u2001 B) 63\u2001 C) 90\u2001 D) 144 ters a\u00e7\u0131 \u00f6zelli\u011fi ta\u015f\u0131maktad\u0131r. F\u00d6Y - 31 D) 4. saatteki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ile 2. saatteki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc b\u00fct\u00fcnlerdir.\u2001 6. S\u0131n\u0131f","12.\tA\u015fa\u011f\u0131da verilen PRZ a\u00e7\u0131s\u0131 ile SRT a\u00e7\u0131s\u0131 ters a\u00e7\u0131lar ve AOB a\u00e7\u0131s\u0131 ile BOC a\u00e7\u0131s\u0131 ise t\u00fcmler a\u00e7\u0131lard\u0131r. P A 57\u00b0 Z 42\u00b0 B T b\u00b0 R a\u00b0 C S O Buna g\u00f6re a + b i\u015fleminin sonucu ka\u00e7t\u0131r? A) 75\u2001 B) 81\u2001 C) 99\u2001 D) 105 13.\tA\u015fa\u011f\u0131da iki farkl\u0131 yelpaze modelinin tamamen a\u00e7\u0131k oldu\u011fu (180\u00ba) durumdaki g\u00f6r\u00fcn\u00fcm\u00fcm verilmi\u015ftir. 1. yelpaze 2. yelpaze Buna g\u00f6re 1. yelpazede bulunan ard\u0131\u015f\u0131k iki \u00e7\u0131ta aras\u0131ndaki a\u00e7\u0131n\u0131n b\u00fct\u00fcnleri ile 2. yelpazede bulunana ard\u0131\u015f\u0131k iki \u00e7\u0131ta aras\u0131ndaki a\u00e7\u0131n\u0131n t\u00fcmlerinin toplam\u0131 ka\u00e7t\u0131r? A) 237\u2001 B) 240\u2001 C) 242\u2001 D) 250 14.\t 15. l. \u00d6l\u00e7\u00fcs\u00fc 25\u00ba olan a\u00e7\u0131n\u0131n t\u00fcmleri ile b\u00fct\u00fcnlerinin toplam\u0131 220\u00ba dir. k ? A 27\u00b0 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 73\u00b0 ll. B\u00fct\u00fcnler iki a\u00e7\u0131dan k\u00fc\u00e7\u00fck a\u00e7\u0131n\u0131n t\u00fcmleri 62\u00ba oldu\u011funa g\u00f6re b\u00fcy\u00fck a\u00e7\u0131 152\u00ba dir. lm lll. B\u00fct\u00fcnler iki a\u00e7\u0131dan biri di\u011ferlerinin iki kat\u0131 ise b\u00fcy\u00fck a\u00e7\u0131 Yukar\u0131daki k, l, m do\u011frular\u0131n\u0131n kesi\u015fti\u011fi nokta A noktas\u0131d\u0131r. 72\u00ba dir. Buna g\u00f6re \u201c?\u201d ile g\u00f6sterilen a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcs\u00fc ka\u00e7 derecedir? Yukar\u0131da verilen ifadelerden hangileri do\u011frudur? A) 70\u2001 B) 75\u2001 C) 78\u2001 D) 80 A) l ve ll \u2001B) l ve lll 6. S\u0131n\u0131f C) ll ve lll \u2001D) l, ll ve lll F\u00d6Y - 31","\u2022 \u00dc\u00e7genin alan ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur, ilgili problemleri \u00e7\u00f6zer. 32. f\u00f6y 1.\t Dar A\u00e7\u0131l\u0131 \u00dc\u00e7gende Y\u00fckseklik Dik A\u00e7\u0131l\u0131 \u00dc\u00e7gende Y\u00fckseklik 3394 A K Geni\u015f A\u00e7\u0131l\u0131 \u00dc\u00e7gende Y\u00fckseklik D FE G S BD C LM PE F [KL] kenar\u0131na ait y\u00fckseklik = [LM] R [LM] kenar\u0131na ait y\u00fckseklik = [KL] [AB] kenar\u0131na ait y\u00fckseklik = [CF] [KM] kenar\u0131na ait y\u00fckseklik = [LG] [DE] kenar\u0131na ait y\u00fckseklik = [FR] [AC] kenar\u0131na ait y\u00fckseklik = [BE] [BC] kenar\u0131na ait y\u00fckseklik = [AD] [EF] kenar\u0131na ait y\u00fckseklik = [DP] [DF] kenar\u0131na ait y\u00fckseklik = [ES] Yukar\u0131da verilen bilgilere g\u00f6re k\u0131rm\u0131z\u0131 \u00e7izgilerle verilen y\u00fcksekliklerden hangisi [AB] kenar\u0131na aittir? A) A \u2001 B) A \u2001 C) A \u2001 D) C BC BC BZeka K\u00fcp\u00fc Yay\u0131nlar\u0131 CAB 2.\t \u00dc\u00e7genin herhangi bir k\u00f6\u015fesinden kar\u015f\u0131 kenara ya da kenar\u0131n uzant\u0131s\u0131na \u00e7izilen dikmeye \\\"y\u00fckseklik\\\" de- A nir. Y\u00fckseklik ile ait oldu\u011fu taban\u0131n \u00e7arp\u0131m\u0131n\u0131n yar\u0131s\u0131 \u00fc\u00e7genin alan\u0131n\u0131 verir. 6 cm \u00d6rne\u011fin; yandaki \u00fc\u00e7gende taban uzunlu\u011fu 6 cm, y\u00fckseklik ise 4 cm oldu\u011fu i\u00e7in, 4 cm Alan = 6.4 = 12 cm2 bulunur. 2 B C A 7 cm Buna g\u00f6re |BC| taban uzunlu\u011fu 8 cm ve bu tabana ait y\u00fcksekli\u011fi 7 cm olarak veri- len yandaki \u00fc\u00e7genin alan\u0131 ka\u00e7t\u0131r? B 8 cm C A) 24\u2001 B) 28\u2001 C) 32\u2001 D) 56 F\u00d6Y - 32 6. S\u0131n\u0131f","3.\t \\\"Taban x y\u00fckseklik = \u00dc\u00e7genin alan\u0131\\\" e\u015fitli\u011fine g\u00f6re, 2 \t\tI.\t\tTaban\tuzunlu\u011fu\t6\tcm\tve\tbu\ttabana\tait\ty\u00fcksekli\u011fi\t5\tcm\tolan\t\u00fc\u00e7genin\talan\u0131\t15\tcm2\tdir. \tII.\t\tAlan\u0131\t24\tcm2\tve\ty\u00fcksekli\u011fi\t3\tcm\tolan\t\u00fc\u00e7genin\ttaban\tuzunlu\u011fu\t8\tcm'dir. III.\t\tBir\t\u00fc\u00e7genin\ty\u00fcksekli\u011fi\t8\tcm\tve\talan\u0131\t40\tcm2\tise\ttaban\tuzunlu\u011fu\t10\tcm'dir. ifadelerinden hangileri do\u011frudur? A) I\tve\tII\t B) I\tve\tIII\t C) II\tve\tIII\t D)\tI,\tII\tve\tIII - ETK\u0130NL\u0130K 42 - A\u015fa\u011f\u0131da verilen \u00fc\u00e7genlerin y\u00fckseklik ve alanlar\u0131n\u0131 bulunuz. 1 br 1 br 1 br 1 br 1 br 1 br a) Y\u00fckseklik\t=\t...........\tbr b) Y\u00fckseklik\t=\t...........\tbr c) Y\u00fckseklik\t=\t...........\tbr Alan\t\t\t\t\t\t\t\t\t=\t...........\tbr2 Alan\t\t\t\t\t\t\t\t\t=\t...........\tbr2 Alan\t\t\t\t\t\t\t\t\t=\t...........\tbr2 4. Taban uzunluklar\u0131 ve y\u00fckseklikleri e\u015fit olan \u00fc\u00e7genlerin alan- 5. A lar\u0131 da birbirine e\u015fit olur. Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 A\u015fa\u011f\u0131da\tABC\tve\tDBC\t\u00fc\u00e7genleri\tverilmi\u015ftir. 1 br A 1 br D BC B CDE F Buna g\u00f6re A(A\u00ffBC) \u2212 A(D\u00ffBC) fark\u0131 ka\u00e7t\u0131r? |BC| = |CD| = |DE| = |EF| ve A(A\u00e9CD) = 9 oldu\u011funa g\u00f6re A) 0 B) 2 C) 4 A(A\u00e9BF) a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? 6. S\u0131n\u0131f D) 6 A) 24 B) 36 C) 48 D) 60 F\u00d6Y - 32","6.\t Ali,\ta\u015fa\u011f\u0131da\tverilen\tAED,\tBGD\tve\tCDF\t\u00fc\u00e7genlerini\tipler\t 8. 1 br ile\tolu\u015fturarak\talanlar\u0131n\u0131\tb\u00fcy\u00fckten\tk\u00fc\u00e7\u00fc\u011fe\tdo\u011fru\ts\u0131rala- A D 1 br mak\tistiyor. BC E G Yukar\u0131daki ABC ve ACD \u00fc\u00e7genlerinin alanlar\u0131 toplam\u0131- n\u0131n CDE \u00fc\u00e7geninin alan\u0131na oran\u0131 a\u015fa\u011f\u0131dakilerden han- AB E C gisine e\u015fittir? D A) 1 B) 2 C) 3 D) 4 |AD|\t10\tcm,\t|BD|\t=\t4\tcm,\t|CD|\t=\t6\tcm\tve |GF|\t=\t|FE|\t=\t|ED|\t=\t3\tcm'dir. Buna g\u00f6re alanlar\u0131n do\u011fru s\u0131ralan\u0131\u015f\u0131 a\u015fa\u011f\u0131dakilerden hangisinde verilmi\u015ftir? A) A(A\u00ffED) > A(B\u00ffGD) > A(C\u00ffDF)\t 9. A B) A(A\u00ffED) = A(B\u00ffGD) > A(C\u00ffDF)\t C) A(A\u00ffED) > A(C\u00ffDF) > A(B\u00ffGD) D) A(B\u00ffGD)\t=\tA(C\u00ffDF) > A(A\u00ffED) 4\tm 6\tm BH C Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 Yukar\u0131da verilen ABC \u00fc\u00e7geninde |AB| = 5 cm, |AC| = 8 cm ve |BC| = 10 cm oldu\u011funa g\u00f6re |AH| uzunlu\u011fu ka\u00e7- t\u0131r? A) 3 B) 4 C) 5 D) 6 7.\t Mustafa\tdik\t\u00fc\u00e7gen\t\u015feklindeki\tarazisinin\t1.\tb\u00f6l\u00fcm\u00fcne\tbi- ber,\t2.\tb\u00f6l\u00fcm\u00fcne\tise\tdomates\tekecektir. A 10. A 2.\tb\u00f6l\u00fcm D 1.\tb\u00f6l\u00fcm BC B 5\tm 3\tm C Buna g\u00f6re Mustafa'n\u0131n domates ekece\u011fi 2. b\u00f6l\u00fcm\u00fcn Kareli zeminde verilen \u00fc\u00e7gende |BC| kenar\u0131n\u0131n uzun- alan\u0131 a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? lu\u011fu 12 cm oldu\u011funa g\u00f6re ABC \u00fc\u00e7geninin alan\u0131 ka\u00e7 santimetrekaredir? A) 30 B) 40 C) 50 D) 60 A) 30 B) 40 C) 50 D) 60 F\u00d6Y - 32 6. S\u0131n\u0131f","11.\tK\u0131sa kenar uzunlu\u011fu 4 cm, uzun kenar uzunlu\u011fu 24 cm, 13.\tA\u015fa\u011f\u0131daki \u015fekil, iki e\u015f kare ve iki e\u015f dikd\u00f6rtgenden olu\u015f- \u00f6n y\u00fcz\u00fc sar\u0131 ve arka y\u00fcz\u00fc k\u0131rm\u0131z\u0131 olan bir k\u00e2\u011f\u0131t \u015eekil - I'de maktad\u0131r. Karenin kenar uzunlu\u011fu 6 cm; dikd\u00f6rtgenin ise g\u00f6sterilmi\u015ftir. k\u0131sa kenar\u0131 6 cm, uzun kenar\u0131 8 cm'dir. 24 cm A \u015eekil - I 4 cm 6 cm 8 cm \u015eekil - II 6 cm B 8 cm C Bu k\u00e2\u011f\u0131t \u015eekil - II'deki gibi katland\u0131\u011f\u0131nda olu\u015fan \u00fc\u00e7ge- Buna g\u00f6re olu\u015fan ABC \u00fc\u00e7geninin i\u00e7 b\u00f6lgesinde bulu- nin bir kenar\u0131n\u0131n uzunlu\u011fu 8 cm ise alan\u0131 a\u015fa\u011f\u0131daki- nan turuncu b\u00f6lgenin alan\u0131 ile ye\u015fil b\u00f6lgenin alan\u0131 ara- lerden hangisidir? s\u0131ndaki fark hangi \u015f\u0131kta verilmi\u015ftir? A) 8\u2001 B) 18\u2001 C) 24\u2001 D) 48 A) 6\u2001 B) 7\u2001 C) 8\u2001 D) 9 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 12.\tA\u015fa\u011f\u0131da verilen in\u015faat merdiveninin yerden y\u00fcksekli\u011fi 20 dm, ayaklar\u0131 aras\u0131ndaki uzunluk ise 6 dm'dir. 20 dm 14.\t 3 cm 6 dm 3 cm Y\u00fcksekli\u011fi 1 oran\u0131nda k\u0131salt\u0131ld\u0131\u011f\u0131nda, ayaklar aras\u0131ndaki 4 cm 6 cm 4 Yukar\u0131da verilen \u00fc\u00e7genlerin alanlar\u0131 toplam\u0131 a\u015fa\u011f\u0131da- uzunluk 1 oran\u0131nda art\u0131yor. kilerden hangisidir? 3 Buna g\u00f6re merdivenin al\u00e7alt\u0131lmas\u0131 ile olu\u015fan \u00fc\u00e7gen- sel b\u00f6lgenin alan\u0131 a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? A) 50\u2001 B) 60\u2001 C) 70\u2001 D) 80 A) 20\u2001 B) 24\u2001 C) 30\u2001 D) 36 6. S\u0131n\u0131f F\u00d6Y - 32","33. f\u00f6y \u2022 Paralelkenar\u0131n alan ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur, ilgili problemleri \u00e7\u00f6zer. 3395 1. Paralelkenarda, paralel olan kenarlardan birinden di\u011ferine \u00e7izilen dik do\u011fru par\u00e7alar\u0131ndan A D her birine \\\"y\u00fckseklik\\\" denir. K C Yanda verilen \u015fekilde |BC| kenar\u0131na ait y\u00fckseklik |AH| uzunlu\u011fu iken |CD| kenar\u0131na ait y\u00fck- BH seklik |AK| uzunlu\u011fudur. D) 12 Paralelkenarda alan, taban ve y\u00fcksekli\u011fin \u00e7arp\u0131m\u0131na e\u015fittir. Verilen paralelkenar\u0131n alan\u0131, A(ABCD) = |BC| . |AH| ya da A(ABCD) = |CD| . |AK| \u015feklinde hesaplan\u0131r. K 3\tcmN Buna g\u00f6re verilen KLMN paralelkenar\u0131n\u0131n alan\u0131 ka\u00e7 santimetrekaredir? 4\tcm A) 6 B) 7 C) 8 LM - ETK\u0130NL\u0130K 43 - A\u015fa\u011f\u0131da verilen paralelkenarlar\u0131n alanlar\u0131n\u0131 bulunuz. 1 br 1 br a)\t\tAlan\t=\t...........\tbr2 b)\t\tAlan\t=\t...........\tbr2 c)\t\tAlan\t=\t...........\tbr2 F\u00d6Y - 33 6. S\u0131n\u0131f","2.\t Paralelkenarda, kar\u015f\u0131l\u0131kl\u0131 kenar uzunluklar\u0131 birbirine e\u015fittir. 4 cm K N h Yandaki \u015fekilde |KL| = |MN| ve |LM| = |KN| 'dir. KLMN paralelkenar\u0131n\u0131n alan\u0131 20 cm2 oldu\u011funa g\u00f6re |MN| kenar\u0131na ait y\u00fckseklik ka\u00e7 santimetredir? A) 4\u2001 B) 5\u2001 C) 8\u2001 D) 10 L 6 cm M 3.\t A B K DH C Yukar\u0131daki ABCD paralelkenar\u0131nda |DC| = 8 cm, |BC| = 6 cm ve |AH| = 3 cm oldu\u011funa g\u00f6re |AK| y\u00fcksekli\u011finin uzunlu\u011fu ka\u00e7 cm'dir? A) 4\u2001 B) 6\u2001 C) 7\u2001 D) 8 4.\t Paralelkenarda k\u00f6\u015fegen, alan\u0131 birbirine e\u015f par\u00e7alara ay\u0131- 5.\t Mustafa, \u015fekilde verilen paralelkenar\u0131 ve k\u00f6\u015fegenleri \u00e7iz- r\u0131r. dikten sonra par\u00e7alardan birini kesiyor. VT DA Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 Buna g\u00f6re VDAT paralelkenar\u0131n\u0131n alan\u0131 36 cm2 ise bo- Mustafa'n\u0131n kesti\u011fi par\u00e7an\u0131n alan\u0131 12 cm2 oldu\u011funa yal\u0131 k\u0131sm\u0131n alan\u0131 a\u015fa\u011f\u0131dakilerden hangisinde do\u011fru g\u00f6re paralelkenar\u0131n alan\u0131 ka\u00e7 cm2 dir? olarak verilmi\u015ftir? A) 12\u2001 B) 16\u2001 C) 18\u2001 D) 24 A) 24\u2001 B) 36\u2001 C) 48\u2001 D) 60 6. S\u0131n\u0131f F\u00d6Y - 33","6.\t Paralelkenar\t\u015feklinde\tbir\tarsan\u0131n\ti\u00e7erisine\tev\tyapmak\ti\u00e7in\t 7.\t A\u015fa\u011f\u0131da\talan\u0131\t4000\tm2\tparalelkenar\t\u015feklinde\tbir\tko\u015fu\tpis- arsada\tparalelkenar\t\u015feklinde\tbir\tk\u0131s\u0131m\tayr\u0131lacak,\tkalan\tk\u0131- ti\tverilmi\u015ftir. s\u0131m\tise\tbah\u00e7e\tolarak\tkullan\u0131lacakt\u0131r. 80\tm 1 br 1 br Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 Buna g\u00f6re bah\u00e7e olarak kullan\u0131lacak k\u0131s\u0131m ka\u00e7 birim- 100\tm karedir? Bu pistin etraf\u0131nda 2 tur ko\u015fan bir sporcu toplam ka\u00e7 metre ko\u015fmu\u015f olur? A) 60 B) 65 C) 67 D) 68 A) 600 B) 700 C) 800 D) 900 8. Paralelkenarda kar\u015f\u0131l\u0131kl\u0131 kenar uzunluklar\u0131 birbirine e\u015fittir. AD Yandaki \u015fekilde \u00e7evre uzunlu\u011fu 40 cm olan ABCD paralelkenar\u0131n\u0131n alan\u0131 ka\u00e7 cm2 dir? 6\tcm 8\tcm A) 64 B) 68 C) 72 D) 76 BC 9.\t A\u015fa\u011f\u0131da\t\u00f6l\u00e7\u00fcleri\tverilmi\u015f\tolan\tABCD\tparalelkenar\u0131n\u0131n\tala- 10.\tA\u015fa\u011f\u0131da\tbir\tkenar\u0131n\u0131n\tuzunlu\u011fu\t12\tcm\tolan\tkare\tve\ttaba- n\u0131n\u0131n,\tKLMN\tparalelkenar\u0131n\u0131n\talan\u0131n\u0131n\tiki\tkat\u0131\toldu\u011fu\tbi- n\u0131\t8\tcm\tolan\tbir\tparalelkenar\tverilmi\u015ftir. linmektedir. AD 8\tcm Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 12\tcm B 18\tcm C KN 8\tcm Buna g\u00f6re paralelkenar\u0131n alan\u0131 ka\u00e7 cm2 dir? L 12\tcm M Buna g\u00f6re KLMN paralelkenar\u0131nda |LM| kenar\u0131na ait A) 72 B) 84 C) 96 D) 108 y\u00fcksekli\u011fin uzunlu\u011fu ka\u00e7 cm'dir? A) 6 B) 12 C) 16 D) 18 6. S\u0131n\u0131f F\u00d6Y - 33","11.\t1.\t\u015fekildeki\tdikd\u00f6rtgensel\tb\u00f6lgeden,\tkenar\tuzunluklar\u0131\tde\u011fi\u015ftirilmeden\t2.\t\u015fekil\telde\tediliyor. 1 br 1 br 1.\t\u015fekil 2.\t\u015fekil Buna g\u00f6re 1. \u015fekilden 2. \u015fekile d\u00f6n\u00fc\u015ft\u00fcr\u00fcl\u00fcrken alanlardaki de\u011fi\u015fim ka\u00e7 birimkaredir? A) 18 B) 20 C) 22 D) 24 12.\tBir\treklam\t\u015firketi\tbirimkare\tfiyat\u0131\t5\tTL\tolacak\t\u015fekilde\tpa- 13. A B ralelkenardan\tolu\u015fan\tlogo\ttasarl\u0131yor. 4\tcm 1 br 1 br Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 DH C Yukar\u0131da verilen paralel kenar\u0131n uzun kenar\u0131n\u0131n k\u0131sa kenar\u0131na oran\u0131 3 , A(ABCD) = 60 cm2 ve |AH| = 4 cm 2 Buna g\u00f6re logonun sat\u0131\u015f\u0131nda reklam \u015firketinin elde oldu\u011funa g\u00f6re |BC| ka\u00e7 cm'dir? edece\u011fi gelir ka\u00e7 tl'dir? A) 8 B) 10 C) 12 D) 13 A) 170 B) 180 C) 190 D) 200 6. S\u0131n\u0131f F\u00d6Y - 33","34. f\u00f6y \u2022 Alan \u00f6l\u00e7me birimlerini tan\u0131r, m2 - km2, m2 - cm2 - mm2 birim- lerini birbirine d\u00f6n\u00fc\u015ft\u00fcr\u00fcr. \u2022 Arazi \u00f6l\u00e7me birimlerini tan\u0131r ve standart alan \u00f6l\u00e7me birimleriyle ili\u015fkilendirir. 3396 1. Alan \u00f6l\u00e7me birimleri kilometrekare (km2), hektometrekare (hm2), dekametrekare (dm2), metrekare (m2), desimet- rekare (dm2), santimetrekare (cm2) ve milimetrekare (mm2) dir. Sa\u011fa do\u011fru gidildik\u00e7e her basamak 100 ile \u00e7arp\u0131l\u0131rken sola do\u011fru gidildik\u00e7e 100'e b\u00f6l\u00fcn\u00fcr. x 100 x 100 x 100 x 100 x 100 x 100 km2 hm2 dam2 m2 dm2 cm2 mm2 :\t100 :\t100 :\t100 :\t100 :\t100 :\t100 \u00d6rne\u011fin; 1 km2 = 100 hm2 ye, 2 m2 = 20000 cm2 ye, 3000000 mm2 = 3 m2 ye e\u015fittir. Verilen bilgi ve \u00f6rne\u011fe g\u00f6re 1000000 cm2 nin e\u015fiti a\u015fa\u011f\u0131dakilerden hangisidir? A) 1\tm2 B) 10\tm2 C) 100\tm2 D)\t1000\tm2 2. A\u015fa\u011f\u0131da verilen e\u015fitliklerden hangisi yanl\u0131\u015ft\u0131r? A) 2000\tmm2 =\t20\tcm2 B) 3000\tcm2 =\t0,3\tm2 C) 4\tkm2 =\t4000000\tm2 D)\t2\tm2 =\t20000\tmm2 - ETK\u0130NL\u0130K 44 - A\u015fa\u011f\u0131da verilen tabloyu, gerekli d\u00f6n\u00fc\u015f\u00fcmleri yaparak doldurunuz. 1\tkm2 500\t000\tm2 30\tdam2 2\thm2 50\t000\tdm2 4\t000\t000\tmm2 ....................\thm2 ....................\tkm2 ....................\thm2 ....................\tkm2 ....................\thm2 ....................\thm2 ...................\tdam2 ....................\thm2 ....................\tm2 ...................\tdam2 ...................\tdam2 ...................\tdam2 ....................\tm2 ...................\tdam2 ....................\tdm2 ....................\tm2 ....................\tm2 ....................\tm2 ....................\tdm2 ....................\tdm2 ....................\tcm2 ....................\tdm2 ....................\tcm2 ....................\tdm2 ....................\tcm2 ....................\tcm2 ....................\tmm2 ....................\tcm2 ....................\tmm2 ....................\tcm2 F\u00d6Y - 34 6. S\u0131n\u0131f"]