6. Sınıf Heryerde Matematik

["3. 4. E\u015f karelerden olu\u015fmu\u015f \u015feklin \u00e7evresi 2,4 m oldu\u011funa Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 Bir kenar\u0131n\u0131n uzunlu\u011fu 10 m olan tarlan\u0131n alan\u0131 ka\u00e7 g\u00f6re par\u00e7alardan birinin alan\u0131 ka\u00e7 dm2dir? dm2dir? A) 0,9\t B) 9 C) 36 D) 90 A) 1 B) 100 C) 10000 D) 1000000 5. Ba\u011f, bah\u00e7e, arsa, tarla gibi alanlar\u0131 \u00f6l\u00e7mek i\u00e7in arazi \u00f6l\u00e7me birimleri kullan\u0131l\u0131r. Bunlar ar (a), dekar (daa) ve hek- tar (ha) d\u0131r. Sa\u011fa do\u011fru gidildik\u00e7e her basamak 10 ile \u00e7arp\u0131l\u0131rken sola do\u011fru gidildik\u00e7e 10'a b\u00f6l\u00fcn\u00fcr. x 10 x 10 ha daa Bir dekar, bir d\u00f6n\u00fcm olarak da adland\u0131r\u0131l\u0131r. a 1 ha = 10 daa = 10 ar 1 ar = 100 m2 , 1 daa = 1000 m2 , 1 ha = 10000 m2 :\t10 :\t10 \u00d6rne\u011fin; 3 ha = 30 daa = 30 d\u00f6n\u00fcm = 300 a'd\u0131r. Verilen bilgi ve \u00f6rne\u011fe g\u00f6re 200 ar ka\u00e7 hektard\u0131r? A) 0,2\t B) 2 C) 20 D) 200 6. A\u015fa\u011f\u0131da verilen e\u015fitliklerden hangisi yanl\u0131\u015ft\u0131r? A) 40 a =\t4\tdaa\t B) 5\tdaa\t=\t5\td\u00f6n\u00fcm\t C) 3\tha\t=\t300\ta\t D)\t2\td\u00f6n\u00fcm\t=\t200\ta - ETK\u0130NL\u0130K 45 - A\u015fa\u011f\u0131da verilen tabloyu, gerekli d\u00f6n\u00fc\u015f\u00fcmleri yaparak doldurunuz. ar dekar hektar d\u00f6n\u00fcm 500 a .................... .................... .................... 400 a .................... ................... ................... ................... .................... .................... .................... .................... 3\td\u00f6n\u00fcm .................... 2\tha .................... 5000\tdaa .................... .................... 6. S\u0131n\u0131f F\u00d6Y - 34","7.\t 4 hektarl\u0131k (ha) bir arazinin 50 ar (a) k\u0131sm\u0131na sebze eki- 10.\tA\u015fa\u011f\u0131da, 60 daireye ait hobi bah\u00e7eleri g\u00f6sterilmi\u015ftir. lirse, ekili olmayan ka\u00e7 d\u00f6n\u00fcml\u00fck arazi kal\u0131r? A) 20\u2001 B) 25\u2001 C) 30\u2001 D) 35 Her hobi bah\u00e7esinin k\u0131sa kenar uzunlu\u011fu 5 metre, uzun kenar uzunlu\u011fu 10 metre olacak \u015fekilde tarlanm\u0131\u015ft\u0131r. Buna g\u00f6re hobi bah\u00e7elerinin 2 dekarl\u0131k k\u0131sm\u0131na bak\u0131m ve ila\u00e7lama yap\u0131ld\u0131ktan sonra bak\u0131m\u0131 ve ila\u00e7lamas\u0131 ya- p\u0131lmam\u0131\u015f alan ka\u00e7 metrekaredir? A) 500\u2001 B) 1000\u2001 C) 1500\u2001 D) 2000 8.\t 11 d\u00f6n\u00fcml\u00fck bir bah\u00e7enin 60 arl\u0131k k\u0131sm\u0131na bu\u011fday, 200 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 metrekarelik k\u0131sm\u0131na mercimek ve kalan k\u0131sm\u0131na da ay\u00e7i- \u00e7e\u011fi ekilmi\u015ftir. Buna g\u00f6re bu\u011fday ekili alan\u0131n, ay\u00e7i\u00e7e\u011fi ekili alandan ka\u00e7 ar fazla oldu\u011fu hangi se\u00e7enekte do\u011fru olarak ve- rilmi\u015ftir? A) 12\u2001 B) 120\u2001 C) 1200\u2001 D) 1600 11.\t4 hektarl\u0131k arazinin 3 'l\u00fck k\u0131sm\u0131 sulanabilir araziden olu\u015f- maktad\u0131r. 5 9.\t 20 m 10 m Kenar uzunluklar\u0131 10 metre ve 20 metre olan dikd\u00f6rt- Sulanamayan arazinin 10 000 metrekarelik k\u0131sm\u0131 sat\u0131l- gen \u015feklindeki bah\u00e7enin alan\u0131 ka\u00e7 ard\u0131r? d\u0131ktan sonra kalan susuz arazi ka\u00e7 dekard\u0131r? A) 1\u2001 B) 2\u2001 C) 0,1\u2001 D) 0,2 A) 3\u2001 B) 4\u2001 C) 5\u2001 D) 6 F\u00d6Y - 34 6. S\u0131n\u0131f","12.\tHal\u0131 saha \u00f6l\u00e7\u00fcleri, standart olarak kabul edilmi\u015f ve genel 15.\tA\u015fa\u011f\u0131da verilen dikd\u00f6rtgen ve \u00fc\u00e7genin alanlar\u0131 birbirine olarak kullan\u0131lan \u00f6l\u00e7\u00fc ise 30 m x 50 m'dir. Bu \u00f6l\u00e7\u00fclerden e\u015fittir. kurulan kapal\u0131 sahalarda 7 ki\u015filik 2 tak\u0131m ma\u00e7 yapabilmek- tedir. 6 dm 4 dm 12 dm Buna g\u00f6re dikd\u00f6rtgenin \u00e7evresi ka\u00e7 cm'dir? A) 24\u2001 B) 26\u2001 C) 240\u2001 D) 260 8 dekarl\u0131k alan\u0131n 20 arl\u0131k k\u0131sm\u0131na giyinme odalar\u0131 ve oto- park, kalan alana ise hal\u0131 sahalar yap\u0131lacakt\u0131r. Buna g\u00f6re yap\u0131lacak hal\u0131 sahalarda ayn\u0131 anda ka\u00e7 ki- \u015fi ma\u00e7 yapabilir? A) 28\u2001 B) 42\u2001 C) 56\u2001 D) 70 13.\t 4m 16.\tFIFA taraf\u0131ndan belirlenen, FIFA onayl\u0131 profesyonel futbol 50 dm sahas\u0131 \u00f6l\u00e7\u00fcleri 45 m x 90 m iken voleybol sahas\u0131n\u0131n \u00f6l\u00e7\u00fc- 1000 mm leri 9 x 18 m'dir. Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 Buna g\u00f6re bir futbol sahas\u0131, bir voleybol sahas\u0131n\u0131n ala- n\u0131n\u0131n ka\u00e7 kat\u0131d\u0131r? A) 10\u2001 B) 15\u2001 C) 20\u2001 D) 25 5m 80 dm 10000 mm Yukar\u0131da verilen \u015fekillerin alanlar\u0131 toplam\u0131 ka\u00e7 metre- karedir? A) 50\u2001 B) 100\u2001 C) 150\u2001 D) 200 14.\t 17.\t 2 cm 1 cm 600 mm 900 mm Yukar\u0131daki \u015fekilde verilen \u00fc\u00e7genin alan\u0131 ka\u00e7 metreka- Yukar\u0131da verilen \u015feklin alan\u0131 ka\u00e7 santimetrekaredir? redir? A) 0,27\u2001 B) 2,7\u2001 C) 27\u2001 D) 270 A) 64\u2001 B) 66\u2001 C) 68\u2001 D) 70 6. S\u0131n\u0131f F\u00d6Y - 34","\u2022 Alan ile ilgili problemleri \u00e7\u00f6zer. 35. f\u00f6y 3397 1. 1 br 2. 1 br 1 br 1 br Yukar\u0131daki \u015fekilde verilen d\u00fczensiz yap\u0131n\u0131n alan\u0131n\u0131; \u015fekli Yukar\u0131da verilen d\u00fczensiz sar\u0131 b\u00f6lgenin alan\u0131n\u0131 bulmak \u00fc\u00e7gen, kare, dikd\u00f6rtgen, paralelkenar vb. alanlar\u0131 hesap- i\u00e7in \u015fekli \u00fc\u00e7gen, kare, dikd\u00f6rtgen, paralelkenar vb. alan- lanabilir d\u00fczenli yap\u0131lara d\u00f6n\u00fc\u015ft\u00fcrerek hesaplayabiliriz. lar\u0131 hesaplanabilir bir yap\u0131ya d\u00f6n\u00fc\u015ft\u00fcr\u00fcp, yine i\u00e7inden ala- n\u0131 hesaplanabilir par\u00e7alar\u0131 \u00e7\u0131karmam\u0131z gerekir. 1 br 1 br 1 br 1 br Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 4 br 7 br 3 br 5 br 4 br 11 br Ye\u015fil alan = (3.1) \/ 2 = 1,5 br2 Dikd\u00f6rtgenin alan\u0131 = 7.1 = 77 br2 Sar\u0131 alan = 3.7 = 21 br2 1. \u00fc\u00e7genin alan\u0131 = (3.4) \/ 2 = 6 br2 Mavi alan = (3.2) \/ 2 = 3 br2 2. \u00fc\u00e7genin alan\u0131 = (4.5) \/ 2 = 10 br2 Pembe alan = (3.7) \/ 2 = 10,5 br2 \u00d6yleyse, 77 \u2212 (6 + 10) = 61 br2 olur. Toplam alan = 36 br2 olur. 1 br 1 br 1 br 1 br Buna g\u00f6re yukar\u0131daki d\u00fczensiz \u015feklin alan\u0131 ka\u00e7 birim- Buna g\u00f6re yukar\u0131daki \u015fekilde verilen parelelkenar\u0131n karedir? alan\u0131 ka\u00e7 birimkaredir? A) 51 B) 52 C) 53 D) 54 A) 40 B) 41 C) 42 D) 44 F\u00d6Y - 35 6. S\u0131n\u0131f","3.\t 1 br 6.\t A\u015fa\u011f\u0131da verilen renkli karelerden sar\u0131 karenin bir kenar\u0131- 1 br n\u0131n uzunlu\u011fu 8 cm ve s\u0131ras\u0131 ile karelerin kenar uzunlu\u011fu, bir sonrakinin 2 kat\u0131d\u0131r. Yukar\u0131daki \u015fekilde verilen b\u00f6lgenin alan\u0131 ka\u00e7 birimka- 1 redir? 4 3 A) 30\u2001 B) 31\u2001 C) 32\u2001 D) 33 2 Buna g\u00f6re \u015fekildeki beyaz b\u00f6lgenin alan\u0131 ka\u00e7 santi- metrekaredir? A) 80\u2001 B) 81\u2001 C) 82\u2001 D) 83 4.\t 1 br 1 br Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 Yukar\u0131daki \u015fekilde verilen b\u00f6lgenin alan\u0131 ka\u00e7 birimka- redir? A) 22\u2001 B) 22,5\u2001 C) 23\u2001 D) 23,5 7.\t A\u015fa\u011f\u0131daki \u015fekil, toplam alan\u0131 80 cm2 olan e\u015f karelerden olu\u015fmu\u015ftur. 5.\t 1 br 1 br Yukar\u0131daki \u015fekilde verilen b\u00f6lgenin alan\u0131 ka\u00e7 birimka- Buna g\u00f6re i\u00e7 k\u0131s\u0131mda kalan b\u00f6lgenin alan\u0131 ka\u00e7 santi- redir? metrekaredir? A) 22\u2001 B) 23\u2001 C) 24\u2001 D) 25 A) 44\u2001 B) 48\u2001 C) 52\u2001 D) 56 6. S\u0131n\u0131f F\u00d6Y - 35","8.\t 70 cm 48 cm Mavi Sar\u0131 65 cm Mavi 42 cm Sar\u0131 \u015eekil 1 \u015eekil 2 Yukar\u0131da \u015fekil 1 ve \u015fekil 2'de kenar uzunluklar\u0131 santimetre cinsinden verilen ve dik \u00fc\u00e7gen bi\u00e7imindeki iki e\u015f par\u00e7adan olu\u015fan dikd\u00f6rtgen ka\u011f\u0131tlar g\u00f6sterilmi\u015ftir. \u015eekil 1'de verilen sar\u0131 b\u00f6lgenin alan\u0131 \u015fekil 2'de verilen mavi b\u00f6lgenin alan\u0131ndan ka\u00e7 santimetrekare fazlad\u0131r? A) 1008\u2001 B) 1267\u2001 C) 2108\u2001 D) 2275 9.\t A\u015fa\u011f\u0131daki \u015fekil; k\u0131sa kenar uzunlu\u011fu 4 cm, uzun kenar 11.\t 2 cm uzunlu\u011fu 8 cm olan e\u015f dikd\u00f6rtgenlerden olu\u015fmu\u015ftur. C Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 1 cmD Buna g\u00f6re yap\u0131n\u0131n beyaz b\u00f6lgesinin alan\u0131 hangi \u015f\u0131kta Yukar\u0131da verilen \u00fc\u00e7gen, |DC| do\u011frusu boyunca kesi- do\u011fru olarak verilmi\u015ftir? lip olu\u015fan \u00fc\u00e7gensel b\u00f6lge at\u0131l\u0131rsa kalan b\u00f6lgenin ala- n\u0131 ka\u00e7 santimetrekare olur? A) 48\u2001 B) 53\u2001 C) 57\u2001 D) 60 A) 56\u2001 B) 60\u2001 C) 64\u2001 D) 68 10.\tKenar uzunluklar\u0131 8 cm olan sar\u0131 ve mavi renkli e\u015f iki ka- re \u00fcst \u00fcste getirildi\u011finde, alan\u0131 9 cm2 olan karesel bir b\u00f6l- ge olu\u015fmu\u015ftur. Buna g\u00f6re kartonlar\u0131n \u00fcst \u00fcste gelmeyen b\u00f6lgelerinin 12.\tAlan\u0131 24 cm2 ve kenar uzunluklar\u0131 do\u011fal say\u0131 olan bir toplam alan\u0131 ka\u00e7 cm2 dir? dikd\u00f6rtgenin \u00e7evresinin alabilece\u011fi en k\u00fc\u00e7\u00fck ve en b\u00fc- y\u00fck de\u011ferler hangi \u015f\u0131kta do\u011fru olarak verilmi\u015ftir? A) 110\u2001 B) 119\u2001 C) 124\u2001 D) 128 A) 20 - 28\u2001 B) 22 - 28\u2001 C) 22 - 50\u2001 D) 20 - 50 F\u00d6Y - 35 6. S\u0131n\u0131f","13.\tA\u015fa\u011f\u0131da taban uzunlu\u011fu 8 cm ve alan\u0131 36 cm2 olan \u00fc\u00e7- 14.\tBeyza Han\u0131m, yanda kenar gensel bir b\u00f6lge verilmi\u015ftir. uzunluklar\u0131 desimetre cin- sinden verilen masa i\u00e7in A t\u00fcm kenarlar\u0131ndan iki\u015fer dm sarkacak \u015fekilde masa \u00f6r- t\u00fcs\u00fc dikecektir. Ayn\u0131 \u00f6l\u00e7\u00fc- lerde 24 adet \u00f6rt\u00fc dikecek ve \u00f6rt\u00fc i\u00e7in kullanaca\u011f\u0131 ku- ma\u015f\u0131n 1 m2 si i\u00e7in 25 TL ma- liyet harcayacakt\u0131r. 36 cm2 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 5 dm B C 8 dm 8 cm Alan\u0131, bu \u00fc\u00e7gensel b\u00f6lgenin alan\u0131na e\u015fit olan ve bir Buna g\u00f6re bu i\u015f i\u00e7in Beyza Han\u0131m'\u0131n harcayaca\u011f\u0131 top- kenar\u0131n\u0131n uzunlu\u011fu BC kenar\u0131na ait y\u00fcksekli\u011fin uzun- lam \u00fccret ka\u00e7 TL olur? lu\u011funa e\u015fit olan dikd\u00f6rtgenin \u00e7evresi ka\u00e7 cm'dir? A) 22\u2001 B) 24\u2001 C) 26\u2001 D) 28 A) 600\u2001 B) 630\u2001 C) 640\u2001 D) 648 15.\t 1 br 6 br 7 br 12 br 1 br 13 br Yukar\u0131da kareli zemin \u00fczerinde verilen b\u00f6lgelerin toplam alan\u0131 a\u015fa\u011f\u0131daki \u00fc\u00e7genlerden hangisinin alan\u0131na e\u015fittir? A) B) C) D) 12 br 13 br 13 br 15 br F\u00d6Y - 35 6. S\u0131n\u0131f","36. f\u00f6y \u2022 \u00c7ember \u00e7izerek merkezini, yar\u0131\u00e7ap\u0131n\u0131 ve \u00e7ap\u0131n\u0131 tan\u0131r. \u2022 Bir \u00e7emberin uzunlu\u011funun \u00e7ap\u0131na oran\u0131n\u0131n sabit bir de\u011fer oldu\u011fu- nu \u00f6l\u00e7me yaparak belirler. 3398 1.\tve\t2.\tsorular\u0131\ta\u015fa\u011f\u0131da\tverilen\tbilgilere\tg\u00f6re\tyan\u0131tlay\u0131n\u0131z. D\u00fczlemde sabit bir noktadan e\u015fit uzakl\u0131ktaki noktalar\u0131n olu\u015fturdu\u011fu geometrik \u015fekillere \\\"\u00e7ember\\\" ad\u0131 rr verilir. Sabit nokta, \u00e7emberin merkezidir. r \u00c7emberin merkezi ile \u00e7ember \u00fczerindeki herhangi bir noktay\u0131 birle\u015ftiren do\u011fru par\u00e7alar\u0131n\u0131n her biri- rr ne \\\"yar\u0131\u00e7ap\\\" denir ve yar\u0131\u00e7ap \\\"r\\\" sembol\u00fc ile g\u00f6sterilir. R \u00c7ember \u00fczerindeki iki noktay\u0131 birle\u015ftiren ve merkezden ge\u00e7en do\u011fru par\u00e7as\u0131na \\\"\u00e7ap\\\" ad\u0131 verilir ve \u00e7ap \\\"R\\\" sembol\u00fc ile g\u00f6sterilir. \u00c7ap uzunlu\u011fu, yar\u0131\u00e7ap uzunlu\u011funun 2 kat\u0131d\u0131r. \u2192 R = 2r 1. 2. 6\tcm 28\tcm Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 1 br Yar\u0131\u00e7ap uzunlu\u011fu 6 cm olan \u00e7emberin \u00e7ap uzunlu\u011fu \u00c7ap uzunlu\u011fu 28 cm olan \u00e7emberin yar\u0131\u00e7ap uzunlu\u011fu a\u015fa\u011f\u0131dakilerden hangisidir? a\u015fa\u011f\u0131dakilerden hangisidir? A) 36 B) 18 C) 12 D) 6 A) 12 B) 14 C) 16 D) 18 - ETK\u0130NL\u0130K 46 - 1 br A\u015fa\u011f\u0131da verilen \u00e7emberlerin yar\u0131\u00e7ap ve \u00e7aplar\u0131n\u0131 bulup altlar\u0131na yaz\u0131n\u0131z. 1.\t\tR\t=\t......... 2.\t\tR\t=\t......... 3.\t\tR\t=\t......... 4.\t\tR\t=\t......... \t\t\t\t\tr\t\t=\t.......... \t\t\t\t\tr\t\t=\t.......... \t\t\t\t\tr\t\t=\t.......... \t\t\t\t\tr\t\t=\t.......... F\u00d6Y - 36 6. S\u0131n\u0131f","3. \u00c7ember ve \u00e7emberin i\u00e7 b\u00f6lgesinin birle\u015fimine \\\"daire\\\" denir. \u00c7emberin \u00e7ap ve yar\u0131\u00e7ap \u00c7ember Daire \u00f6zellikleri, daire i\u00e7in de ge\u00e7erlidir. Bir \u00e7emberin uzunlu\u011funun, \u00e7ap\u0131n\u0131n uzunlu\u011funa oran\u0131 sabit bir say\u0131d\u0131r. Bu sabit say\u0131ya \\\"pi say\u0131s\u0131\\\" denir. Pi say\u0131s\u0131 \\\"\u00e3\\\" sembol\u00fc ile g\u00f6sterilir. Problem \u00e7\u00f6z\u00fcmlerinde pi say\u0131s\u0131 yak- la\u015f\u0131k olarak 3; 3,14 veya 22 al\u0131nabilir. 7 \u00d6rne\u011fin; pergelimizin ayaklar\u0131n\u0131 3 cm a\u00e7al\u0131m ve \u00e7ember \u00e7izelim. \u00c7emberin etraf\u0131n\u0131 bir ip ile sararak 3 cm ipin uzunlu\u011funu \u00f6l\u00e7elim. \u0130pin uzunlu\u011funu \u00f6l\u00e7t\u00fc\u011f\u00fcm\u00fczde yakla\u015f\u0131k 18,84 cm oldu\u011funu g\u00f6r\u00fcr\u00fcz. \u00c7emberin uzunlu\u011funu \u00e7ap\u0131n\u0131n uzunlu\u011funa b\u00f6lelim. 18,84 cm \u00f7 6 cm = 3,14 \u2192 \u00c7emberin uzunlu\u011funun, \u00e7ap\u0131n\u0131n uzunlu\u011funa oran\u0131 yakla\u015f\u0131k olarak 3,14't\u00fcr. Buna g\u00f6re \u00e7evresi 32 cm olan bir \u00e7emberin yar\u0131\u00e7ap\u0131 yakla\u015f\u0131k olarak ka\u00e7 cm'dir? (p\t=\t3,14\tal\u0131n\u0131z.) A) 5 B) 6 C) 7 D) 8 4. C 6. 1\tcm B 1\tcm AO E Yukar\u0131daki \u015fekilde verilen \u00e7emberlerin yar\u0131\u00e7aplar\u0131 top- lam\u0131 ka\u00e7 santimetredir? D A) 6 B) 7 C) 8 D) 9 Yukar\u0131daki \u00e7ember \u00fczerinde verilen do\u011fru par\u00e7alar\u0131n- dan hangisi \u00e7emberin \u00e7ap\u0131d\u0131r? A) [AB]\t B) [OE]\t C) [CD]\t D)\t[AD] Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 7.\t A\u015fa\u011f\u0131da\tM\tve\tO\tmerkezli\t\u00e7emberler\tverilmi\u015ftir. 5. A D 5\tcm AM E OB 3\tcm OB C Yukar\u0131daki \u00e7ember \u00fczerinde verilen do\u011fru par\u00e7alar\u0131n- Verilen \u00e7emberlerin yar\u0131\u00e7aplar\u0131 s\u0131ras\u0131 ile 5 cm ve 3 cm dan hangisi \u00e7emberin yar\u0131\u00e7ap\u0131d\u0131r? oldu\u011funa g\u00f6re |AB| ka\u00e7 cm'dir? A) [AB]\t B) [OE]\t C) [CD]\t D)\t[AC] A) 16 B) 17 C) 18 D) 19 6. S\u0131n\u0131f F\u00d6Y - 36","8.\t A\u015fa\u011f\u0131da \u015eekil - I'de, birbirleri ile temas h\u00e2linde yar\u0131\u00e7aplar\u0131 4 cm ve 7 cm olan \u00e7emberler verilmi\u015ftir. 4 cm 7 cm AO M B O M \u015eekil - I \u015eekil - II \u00c7emberler \u015eekil - II'deki konuma getirildiklerinde A ve B noktalar\u0131 aras\u0131ndaki uzakl\u0131k ka\u00e7 santimetre olur? A) 14\u2001 B) 18\u2001 C) 22\u2001 D) 26 9.\t 11.\tA\u015fa\u011f\u0131daki ifadelerden hangisi yanl\u0131\u015ft\u0131r? O A) \u00c7emberin \u00e7evresinin, \u00e7ap\u0131na oran\u0131 \u00e3'ye e\u015fittir. Yukar\u0131da verilen dairenin yar\u0131\u00e7ap\u0131 4 cm oldu\u011funa g\u00f6- B) R \u00e7ap, r yar\u0131\u00e7ap olmak \u00fczere; \u00e7emberde R = 2r e\u015fitli- re karenin \u00e7evresi ka\u00e7 santimetredir? \u011fi vard\u0131r. A) 16\u2001 B) 32\u2001 C) 48\u2001 D) 64 C) \u00c7ember ve \u00e7emberin i\u00e7 b\u00f6lgesinin birle\u015fimine daire denir. D) \u00c7emberin merkezi ile \u00e7ember \u00fczerindeki herhangi bir noktay\u0131 birle\u015ftiren do\u011fru par\u00e7alar\u0131n\u0131n her birine \u00e7ap de- nir. 10.\t Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 \u22125 12.\t A 9 B HC Yukar\u0131da verilen \u00e7emberin yar\u0131\u00e7ap\u0131 ka\u00e7 santimetredir? Yar\u0131\u00e7ap uzunlu\u011fu 5 cm ve H \u00e7emberin merkezi olmak \u00fczere, \u00e7emberin i\u00e7 b\u00f6lgesinde \u00e7izilen ABC \u00fc\u00e7geninin alan\u0131 ka\u00e7 santimetrekaredir? A) 14\u2001 B) 10\u2001 C) 8\u2001 D) 7 A) 15\u2001 B) 20\u2001 C) 25\u2001 D) 30 F\u00d6Y - 36 6. S\u0131n\u0131f","13.\t A D 16.\tDingil mesafesi, \u00f6n tekerlek merkezi ile arka tekerlek mer- kezi aras\u0131ndaki yatay uzakl\u0131kt\u0131r. BC Yukar\u0131da verilen \u00e7emberlerden her birinin yar\u0131\u00e7ap\u0131 3 Aks aral\u0131\u011f\u0131 (Dingil mesafesi) cm oldu\u011funa g\u00f6re ABCD dikd\u00f6rtgeninin \u00e7evresi ka\u00e7 santimetredir? Buna g\u00f6re yar\u0131\u00e7ap\u0131 20 cm olan tekerleklere sahip ara- c\u0131n aks aral\u0131\u011f\u0131 180 cm ise iki lastik y\u00fczeyinin birbirine A) 32\u2001 B) 36\u2001 C) 40\u2001 D) 44 en k\u0131sa uzunlu\u011fu ka\u00e7 santimetredir? A) 120\u2001 B) 140\u2001 C) 160\u2001 D) 180 14.\tA\u015fa\u011f\u0131daki \u015fekilde ABCD dikd\u00f6rtgeninin i\u00e7erisinde birbiri- ne e\u015f 3 \u00e7ember verilmi\u015ftir. AD BC Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 Verilen ABCD dikd\u00f6rtgeninin \u00e7evresi 48 cm oldu\u011funa g\u00f6re \u00e7emberlerden birinin \u00e7ap\u0131 ka\u00e7 cm'dir? A) 3\u2001 B) 6\u2001 C) 12\u2001 D) 18 15.\tYar\u0131\u00e7aplar\u0131n\u0131n uzunluklar\u0131 3 cm, 4 cm ve 5 cm olan \u00e7em- 17.\tYusuf, pergelinin sivri ucunu 8'e, kalemin ucunu 11'e ge- berler, a\u015fa\u011f\u0131daki gibi birbirine d\u0131\u015ftan te\u011fet olacak \u015fekilde tirip bir \u00e7ember \u00e7izecektir. yerle\u015ftirilmi\u015ftir. A C B 7 8 9 10 11 12 13 14 15 16 Buna g\u00f6re \u00e7emberlerin merkezlerinin birle\u015ftirilmesi Buna g\u00f6re \u00e7izece\u011fi \u00e7emberin \u00e7ap\u0131 ka\u00e7 santimetre olur? ile olu\u015fan ABC \u00fc\u00e7geninin \u00e7evresi ka\u00e7 santimetredir? A) 24\u2001 B) 20\u2001 C) 16\u2001 D) 12 A) 3\u2001 B) 6\u2001 C) 12\u2001 D) 18 6. S\u0131n\u0131f F\u00d6Y - 36","40. f\u00f6y \u2022 Dikd\u00f6rtgenler prizmas\u0131n\u0131n hacim ba\u011f\u0131nt\u0131s\u0131n\u0131 olu\u015fturur, ilgili problemleri \u00e7\u00f6zer. \u2022 Dikd\u00f6rtgenler prizmas\u0131n\u0131n hacmini tahmin eder. 3473 1. Y\u00fckseklik Dikd\u00f6rtgenler prizmas\u0131n\u0131n hacmi \\\"en x boy x y\u00fckseklik\\\" form\u00fcl\u00fc ile bulu- En nur. Boy \u00d6rne\u011fin; yanda ayr\u0131t uzunluklar\u0131 santimetre cinsinden verilen prizman\u0131n hacmi, 15 x 20 x 30 = 9000 cm3 olarak hesaplan\u0131r. 20 cm 30 cm 15 cm Yukar\u0131da\tdikd\u00f6rtgenler\tprizmas\u0131n\u0131n\thacim\tform\u00fcl\u00fc\tverilmi\u015f\tve\tbir\t\u00f6rnekle\tdikd\u00f6rtgenler\tprizmas\u0131n\u0131n\tnas\u0131l\tbulundu\u011fu\tanlat\u0131lm\u0131\u015f- t\u0131r. Buna g\u00f6re yanda verilen dikd\u00f6rtgenler prizmas\u0131n\u0131n hacmi ka\u00e7 santimet- 8\tcm rek\u00fcpt\u00fcr? A) 192 B) 980 C) 1920 D) 3840 20\tcm 12\tcm 2. 3.\t Meltem,\ta\u015fa\u011f\u0131da\t\u00f6l\u00e7\u00fcleri\tverilen\takvaryumu\tsat\u0131n\talmaya\t x\tcm karar\tvermi\u015ftir. 40\tcm Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 50\tcm 25\tcm 80\tcm 40\tcm Yukar\u0131da verilen dikd\u00f6rtgenler prizmas\u0131n\u0131n hacmi 8000 cm3 oldu\u011funa g\u00f6re x ile g\u00f6sterilen y\u00fckseklik ka\u00e7 san- Bu akvaryumun 4 '\u00fcn\u00fc su ile doldurmas\u0131 gereken Mel- timetredir? 5 A) 2 B) 4 C) 6 D) 8 F\u00d6Y - 40 tem'in kullanaca\u011f\u0131 su ka\u00e7 santimetrek\u00fcpt\u00fcr? A) 128 000 B) 96 000 C) 48 000 D) 32 000 6. S\u0131n\u0131f","4.\t (a) br Yanda verilen geometrik cisim, t\u00fcm ayr\u0131t uzunluklar\u0131 e\u015fit oldu\u011fu i\u00e7in \\\"k\u00fcp\\\"t\u00fcr. 10 cm (a) br (a) br K\u00fcp\u00fcn hacmi; a x a x a = a3 br3 t\u00fcr. 10 cm \u00d6rne\u011fin; ayr\u0131t uzunlu\u011fu 10 cm olan k\u00fcp\u00fcn hacmi, 10 x 10 x 10 = 1000 cm3 t\u00fcr. 10 cm Buna g\u00f6re a\u015fa\u011f\u0131daki k\u00fcplerden hangisinin hacmi yanl\u0131\u015f hesaplanm\u0131\u015ft\u0131r? A) \u2001 B) \u2001 C) \u2001 D) 4 cm 6 cm 7 cm Hacim = 64 cm3 Hacim = 216 cm3 Hacim = 343 cm3 9 cm Hacim = 27 cm3 5.\t A\u015fa\u011f\u0131da verilen dikd\u00f6rtgenler prizmas\u0131 \u015feklindeki derin dondurucunun hacmi 8 m3 t\u00fcr. Bu dondurucunun ayr\u0131t uzunluklar\u0131 santimetre cinsinden a\u015fa\u011f\u0131dakilerden hangisi olabilir? (1 m3 = 1 000 000 cm3) En Boy Uzunluk A) 20 40 1000 B) 40 200 4000 C) 100 200 400 D) 15 20 400 6. S\u0131n\u0131f F\u00d6Y - 40","6.\t Yanda verilen dikd\u00f6rtgenler prizmas\u0131 \u015feklindeki kutunun ayr\u0131t uzunluklar\u0131 30 cm, 40 cm ve 80 cm'dir. Bu kutunun i\u00e7erisine ayr\u0131t uzunlu\u011fu 10 cm olan k\u00fcplerden en fazla ka\u00e7 adet ko- yulabilir? A) 120\u2001 B) 96\u2001 C) 84\u2001 D) 72 7.\t A\u015fa\u011f\u0131da ayr\u0131t uzunluklar\u0131 verilen prizmalardan hangisinin hacmi di\u011ferlerinden farkl\u0131d\u0131r? \u2001 A) \u2001 B) 6 cm 5 cm 40 cm 20 cm 10 cm 15 cm C) D) 10 cm F\u00d6Y - 40 5 cm 20 cm 5 cm 6. S\u0131n\u0131f 240 cm 30 cm","8. Prizmalar\u0131n hacmi tahmin edilirken; \uf0f1 ayr\u0131t uzunluklar\u0131 iki basamakl\u0131 ise en yak\u0131n onlu\u011fa, \uf0f1 ayr\u0131t uzunluklar\u0131 \u00fc\u00e7 basamakl\u0131 ise en yak\u0131n y\u00fczl\u00fc\u011fe yuvarlanarak he- 72 cm saplan\u0131r. 72 cm ~ 70 cm 18 cm \u00d6rne\u011fin; yanda verilen dikd\u00f6rtgenler prizmas\u0131n\u0131n hacmi i\u00e7in en iyi tahmin, 18 cm ~ 20 cm 70 x 20 x 20 = 28 000 cm3 21 cm ~ 20 cm 21 cm Buna g\u00f6re yanda verilen dikd\u00f6rtgenler prizmas\u0131n\u0131n hacmi i\u00e7in en iyi tah- 14\tcm min ka\u00e7 santimetrek\u00fcpt\u00fcr? 23\tcm A) 8 500 B) 10 000 C) 120 000 D) 150 000 48\tcm 9.\t A\u015fa\u011f\u0131da\tverilen\tkare\tprizma\t\u015feklindeki\tkutunun\ttaban\tay- 10.\tA\u015fa\u011f\u0131da\tayr\u0131t\tuzunluklar\u0131\tverilen\tmerdivenin\tbasamak\tge- r\u0131tlar\u0131ndan\tbirinin\tuzunlu\u011fu\t88\tmm,\ty\u00fcksekli\u011fi\tise\t175\t ni\u015flikleri\tve\tbasamak\ty\u00fckseklikleri\te\u015fittir. mm'dir. Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 15 cm 3 cm 3 cm 30 cm Bu kutunun hacmi tahminen ka\u00e7 santimetrek\u00fcpt\u00fcr? Verilenlere g\u00f6re bu merdivenin hacmi ka\u00e7 santimetre- (1\tcm3\t=\t1000\tmm3) k\u00fcpt\u00fcr? A) 7200 B) 8110 C) 1440 D) 1620 A) 3690 B) 3780 C) 4280 D) 5400 6. S\u0131n\u0131f F\u00d6Y - 40","41. f\u00f6y \u2022 S\u0131v\u0131 \u00f6l\u00e7me birimlerini tan\u0131r ve birbirine d\u00f6n\u00fc\u015ft\u00fcr\u00fcr. \u2022 S\u0131v\u0131 \u00f6l\u00e7me birimlerini, hacim \u00f6l\u00e7me birimleri ile ili\u015fkilendirir. \u2022 S\u0131v\u0131 \u00f6l\u00e7me birimleri ile ilgili problemler \u00e7\u00f6zer. 3474 1. L (litre) x 10 B\u00fcy\u00fck birimler, k\u00fc\u00e7\u00fck birimlere \u00e7evrilirken verilen sa- : 10 y\u0131 inilen her basamak i\u00e7in 10 ile \u00e7arp\u0131l\u0131r. dL (desilitre) x 10 K\u00fc\u00e7\u00fck birimler, b\u00fcy\u00fck birimlere \u00e7evrilirken verilen sa- : 10 cL (santilitre) x 10 y\u0131 \u00e7\u0131k\u0131lan her basamak i\u00e7in 10'a b\u00f6l\u00fcn\u00fcr. : 10 mL (mililitre) \u00d6rne\u011fin; 1 L = 10 dL = 100 cL = 1000 mL d\u00f6n\u00fc\u015f\u00fcm- lerini verebiliriz. Buna g\u00f6re bakkaldan 19 litrelik iki damacana su alan birisi, asl\u0131nda ka\u00e7 mililitrelik su alm\u0131\u015f olur? A) 1900 B) 3800 C) 19 000 D) 38 000 2. A\u015fa\u011f\u0131da verilenlerden hangisi yanl\u0131\u015ft\u0131r? 3. I.\t\t70\tcL\t=\t0,7\tL II.\t\t0,05\tL\t=\t5\tmL A)\t\t13\tdL\t=\t1300\tmL III. 40000\tmL\t=\t40\tL IV. 0,9\tcL\t=\t9\tmL B)\t\t430\tcL\t=\t43\tdL C) \t2700\tmL\t=\t27\tL Yukar\u0131da verilen e\u015fitliklerden hangileri do\u011frudur? D)\t\t5\tcL\t=\t0,05\tL A) I\tve\tII\t B) I\tve\tIII\t C) I,\tII\tve\tIII\t D)\tI,\tIII\tve\tIV 4.\t Ahmet,\ti\u00e7inde\t60\tL\tzeytinya\u011f\u0131\tbulunan\tvarilden\t3\tkarde\u015finin\ther\tbirine\t15\tdL\tzeytinya\u011f\u0131\tda\u011f\u0131t\u0131yor. Buna g\u00f6re Ahmet'te kalan zeytinya\u011f\u0131 ka\u00e7 litredir? A) 4,5\t B) 15 C) 45 D)\t55,5 6. S\u0131n\u0131f F\u00d6Y - 41","5.\t Nur,\tbakkaldan\tald\u0131\u011f\u0131\t5\tlitrelik\tmeyve\tsuyunu\t25\tsantilitrelik\t\u015fi\u015felere\tpayla\u015ft\u0131rmak\tistiyor. D) 200 Buna g\u00f6re Nur'un, ald\u0131\u011f\u0131 meyve suyunu payla\u015ft\u0131rabilmesi i\u00e7in ka\u00e7 \u015fi\u015feye ihtiyac\u0131 vard\u0131r? A) 2 B) 5 C) 20 - ETK\u0130NL\u0130K 48 - A\u015fa\u011f\u0131da verilen nesnelerin i\u00e7indeki s\u0131v\u0131 miktarlar\u0131n\u0131, altlar\u0131ndaki \u00f6l\u00e7\u00fclerden uygun olanlar\u0131 ile e\u015fle\u015ftiriniz. a) b) c)\t d)\t 1. 2. 3. 4. 6. S\u0131v\u0131 \u00f6l\u00e7me birimleri, asl\u0131nda \u00f6zel birer hacim \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. 1 L = 1 dm3 t\u00fcr. 1 L = 1000 mL ve 1 dm3 = 1000 cm3 ise 1000 mL = 1000 cm3 t\u00fcr. Bu durumda 1 mL = 1 cm3 olur. \u00d6rne\u011fin; 25 litrelik bir kova s\u00fct, 25 dm3 e e\u015fit olmaktad\u0131r. Buna g\u00f6re 3 litre su bulunan bir s\u00fcrahide dm3 cinsinden ne kadar su bulunur? A) 3 B) 30 C) 300 D) 3000 F\u00d6Y - 41 6. S\u0131n\u0131f","7.\t I. 0,452 m3 = 452 L II. 7000 mL = 7000 cm3 8.\t 120 dm3 hacimli bir varilin 5 'i su ile doludur. III. 8500 dm3 = 85 mL 6 Yukar\u0131da verilen e\u015fitliklerden hangileri do\u011frudur? Bu varile 3500 cL su daha eklendi\u011finde varilden ka\u00e7 A) Yaln\u0131z I\u2001 B) I ve II\u2001 C) I ve III\u2001 D) I, II ve III litre su ta\u015far? A) 155\u2001 B) 135\u2001 C) 65\u2001 D) 15 9.\t Ayr\u0131t uzunluklar\u0131 6 dm, 10 dm ve 3 dm olan dikd\u00f6rtgenler prizmas\u0131 \u015feklinde bir havuzda 4 dm y\u00fcksekli\u011finde su vard\u0131r. 6 dm 3 dm 10 dm 500 cL Hacmi 500 cL olan kova ile havuzun bo\u015f olan k\u0131sm\u0131 doldurulmak isteniyor. Buna g\u00f6re havuzun tamam\u0131n\u0131 ta\u015f\u0131rmadan doldurmak i\u00e7in bu kova ile havuza ka\u00e7 defa su kat\u0131lmal\u0131d\u0131r? A) 12\u2001 B) 24\u2001 C) 36\u2001 D) 45 10.\tBir akaryak\u0131t istasyonunda benzinin litre fiyat\u0131 19,05 TL'dir. Benzin Arac\u0131n\u0131n deposu 45 litre olan Veli Bey, i\u00e7inde 20 000 cm3 benzin varken depoyu tamamen doldurmak 19,05 TL istiyor. 6. S\u0131n\u0131f Buna g\u00f6re depoyu tamamen dolduran Veli Bey, akaryak\u0131t istasyonuna ka\u00e7 TL \u00f6deme yapar? A) 376,25\u2001 B) 381\u2001 C) 476,25\u2001 D) 857,25 F\u00d6Y - 41","11.\tA\u015fa\u011f\u0131da\tbir\ts\u00fcrahinin\te\u015fit\tb\u00f6lmelere\tayr\u0131lm\u0131\u015f\th\u00e2li\tverilmi\u015ftir. 1\tb\u00f6lme\tdolu Bu\ts\u00fcrahide\tbulunan\tsuyun\t\u00fczerine\t\u00f6zde\u015f\tve\t1\ttanesinin\thacmi\t150\tmL\tolan\t8\tbardak\tsu\tkonularak\ta\u015fa\u011f\u0131daki\tg\u00f6r\u00fcn\u00fcm\telde\t ediliyor. 4\tb\u00f6lme\tdolu Buna g\u00f6re s\u00fcrahinin hacmi ka\u00e7 cm3 t\u00fcr? (1\tL\t=\t1000\tmL,\t1\tL\t=\t1\tdm3) A) 1,2\t B) 2,4\t C) 1200 D) 2400 12.\tBir\tkahve\td\u00fckk\u00e2n\u0131ndaki\t18\tfarkl\u0131\taroman\u0131n\ther\tbiri,\thacmi\t40\tdL\tolan\t\u015fi\u015felerde\tbulunmaktad\u0131r.\tKahve\td\u00fckk\u00e2n\u0131\tsahibi,\ther\tak- \u015fam\ti\u015f\tbitiminde\tg\u00fcn\tboyu\teksilen\taromalar\u0131n\t\u00fcst\u00fcn\u00fc\ttamamlamaktad\u0131r. ... D\u00fckk\u00e2n\tsahibi,\taroma\t\u015fi\u015felerin\t5\ttanesinin\t 1 'lik\tk\u0131sm\u0131n\u0131n,\t7\ttanesinin\t 1 'lik\tk\u0131sm\u0131n\u0131n\tve\tgeriye\tkalan\t\u015fi\u015felerin\tise\ttamamen\tbo\u015f\t 42 oldu\u011funu\tg\u00f6rm\u00fc\u015ft\u00fcr. Buna g\u00f6re d\u00fckk\u00e2n sahibinin \u015fi\u015felerdeki eksilen aromalar\u0131 tamamlamas\u0131 i\u00e7in toplam ka\u00e7 m3 aromaya ihtiyac\u0131 vard\u0131r? (1\tL\t=\t1000\tmL,\t1\tL\t=\t1\tdm3) A) 0,43\t B) 0,043\t C) 43 D) 43000 6. S\u0131n\u0131f F\u00d6Y - 41","ETK\u0130NL\u0130K CEVAP ANAHTARI - ETK\u0130NL\u0130K 1 - - ETK\u0130NL\u0130K 7 - 1) b 2) c\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t3) d\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t4) a 5) e 70 2 120 2 105 5 35 5 60 2 21 3 1)\tc\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t2) a - ETK\u0130NL\u0130K 2 - 4) d 30 2 77 3) b 77 15 3 1 1 55 1 105 = 5.3.7 70 = 2.5.7 120 = 23.3.5 - ETK\u0130NL\u0130K 3 - \u00c7arpanlar\u0131 Katlar\u0131\t(\u0130lk\t4) 450 2 132 2 18 1,\t2,\t3,\t6,\t9,\t18 18,\t36,\t54,\t72 225 5 66 2 22 1,\t2,\t11,\t22 22,\t44,\t66,\t88 33 3 25 1,\t5,\t25 25,\t50,\t75,\t100 45 5 11 11 30 1,\t2,\t3,\t5,\t6,\t10,\t15,\t30 30,\t60,\t90,\t120 93 1 33 1 132 = 22.3.11 450 = 2.32.52 - ETK\u0130NL\u0130K 4 - a) Y b) Y c)\tD d)\tD e) D f)\tD - ETK\u0130NL\u0130K 5 - 75, 150, 225 - ETK\u0130NL\u0130K 8 - 1, 5 15\tve\t25 1, 3, 9 1, 2, 4 5745 2140 8172 1, 2, 7, 14 21 20 20 1 30 31 30 108, 216, 324 27\tve\t36 50 50 52 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 93 97 90 10 5 10 0 10 210.\tA\u015fa\u011f\u0131daki\tgrafikte\t\u015eakir\tve\tMehmet'in\tmatematik\ts\u0131nav\u0131\tsonu\u00e7lar\u0131\tverilmi\u015ftir.A) 5B) 10C) 15D) 20 48, 96, 144 12\tve\t16 Buna g\u00f6re \u015eakir ve Mehmet'in matematik dersi s\u0131nav ortalamalar\u0131n\u0131n fark\u0131 ka\u00e7t\u0131r? 35784 7590 28, 56, 84 14\tve\t28 20 20 30 30 63, 126, 189 7\tve\t9 54 50 90 93 10 4 10 0 - ETK\u0130NL\u0130K 6 - - ETK\u0130NL\u0130K 9 - 1 2 3 4 5 6 7 8 9 10 a) D b) D c)\tD d)\tY 11 12 13 14 15 16 17 18 19 20 h)\tD 21 22 23 24 25 26 27 28 29 30 e) D f)\tD g)\tY l)\tD 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 \u0131)\tY j) D k)\tD 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 1. 1)\tf\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t2) b - ETK\u0130NL\u0130K 10 - 6) c 71 72 73 74 75 76 77 78 79 80 3) e 4) d\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t5) a 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 2. \u00d6\u011frenci\tyorumuna\tb\u0131rak\u0131lm\u0131\u015ft\u0131r. 1\tve\t100\taras\u0131nda\t25\ttane\tasal\tsay\u0131\tvard\u0131r. MA T - ETK\u0130NL\u0130K 11 - T\u0130K \u22127 \u22125 \u22123 9 10 11 EMA 047 6. S\u0131n\u0131f","- ETK\u0130NL\u0130K 12 - - ETK\u0130NL\u0130K 17 - 1. a) 3 b) 2 c) 13 d) 9 e) 0 f) 30 a) 5 b) 6 c) 7 d) 1 12 26 21 32 2. a) 4 b) 8 c) 3 d) 8 - ETK\u0130NL\u0130K 18 - - ETK\u0130NL\u0130K 13 - a) 2 5 b) 7 4 c) 2 3 d) 12 8 41 14 18 35 1. a) 6 , 8 , 9 \u2192 9 > 6 > 8 5 7 2 2 5 7 b) 3 , 8 , 172 \u2192 182 > 7 > 3 - ETK\u0130NL\u0130K 19 - 12 12 12 12 1 , 5 , 2 5 2 1 a) 58 b) 11 c) 13 3 3 3 3 3 3 25 8 15 c) \u2192 > > d) 40 e) 37 f) 117 21 20 100 2. a) 12 , 8 , 224 \u2192 2 > 12 > 8 48 16 24 48 16 b) 5 , 3 , 188 \u2192 188 > 3 > 5 - ETK\u0130NL\u0130K 20 - 9 6 6 9 a) 34 b) 82 c) 27 3 16 5 4 5 262 \u2192 262 4 5 c) 11 , 11 , > 11 > 11 158 368 74 21 36 6 d) e) f) - ETK\u0130NL\u0130K 14 - - ETK\u0130NL\u0130K 21 - a) 3 1 1. a) 66 b) 9 c) 24 0 5 1 15 12 90 1 b) 2 1 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 d) 17 e) 90 f) 38 0 3 72 48 90 c) 5 2. a) 0 8 2 36 d) 1 4 6 24 0 5 b) a) - ETK\u0130NL\u0130K 15 - 3 3 13 2 3 5 4 20 13 3 b) 6 4 c) 2 8 4 28 c) 3 7 3 21 2 11 d) d) 5 3 26 8 - ETK\u0130NL\u0130K 16 - a) 11 b) 19 c) 8 d) 9 4 14 14 21 18 5 5 3 15 6. S\u0131n\u0131f","a) 24 - ETK\u0130NL\u0130K 22 - c) 18 - ETK\u0130NL\u0130K 29 - 3 b) 20 2 a) 1,881 b) 1,812 c) 0,09339 e) 7 d) 0,132 e) 0,01966 f) 4,007 d) 5 10 f) 3 g) 0,09719 h) 0,0007 \u0131) 1,0001 36 8 i) 300,9 j) 0,5074 k) 0,007 - ETK\u0130NL\u0130K 23 - 1. a) 120 b) 270 c) 84 - ETK\u0130NL\u0130K 30 - 15 45 105 2. a) 85 b) 49 1. a) 9 : 6 , 9 \/ 6 , 9 b) 6 , 6 : 7 , 6 \/ 7 10 63 6 7 c) 1 \/ 76 , 1 : 76 , 1 d) 71 : 98 , 71 , 71 \/ 98 76 98 - ETK\u0130NL\u0130K 24 - 2. a) 58 b) 69 c) 47 d) 49 a) 2 . 10 + 7 . 1 + 5 . 1 + 9 . 1 47 49 18 92 10 100 b) 4 . 10 + 2 . 1 +3 . 1 + 8 . 1 +3 . 1 - ETK\u0130NL\u0130K 31 - 10 100 1000 b) 3 9 c) 7 . 10 + 8 .1 + 1 . 1 + 4 . 1 a) 18 c) 30 10 100 7 d) 2 . 1 + 3 . 1 +2. 1 +9. 1 10 100 1000 - ETK\u0130NL\u0130K 32 - e) 5 . 10 + 4 . 1 +3 . 1 + 7 . 1 1. a) Birimsiz b) Birimli c) Birimsiz d) Birimsiz 10 100 e) Birimsiz f) Birimsiz g) Birimli h) Birimsiz f) 2 . 100 + 3 . 10 + 8 . 1 +8 . 1 + 6 . 1 2. a) 500 mm veya 5 cm b) 182 cm c) 83 kg 10 100 170 cm 182 cm 300 mm 300 mm - ETK\u0130NL\u0130K 25 - c) 3,091 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 a) 12,5 b) 50 - ETK\u0130NL\u0130K 33 - d) 2 e) 30 000 1. a) 84,32 b) 20,605 c) 2000 d) 708,4 e) 6,379 f) 500,008 2. a) 6 b) 4 - ETK\u0130NL\u0130K 34 - e) 3 f) 5 c) 2 d) 1 82,409 0 8 x 10 2 x 1 , 4 x 0,1 0 9x 0,001 512,187 5x 1 x 10 2 x 1 , 1 x 0,1 8x 7x - ETK\u0130NL\u0130K 35 - 100 0,01 0,001 Cevaplar, \u00f6\u011frenci yorumuna b\u0131rak\u0131lm\u0131\u015ft\u0131r. 4,003 0 0 4x1 , 0 0 3x 0,001 8x - ETK\u0130NL\u0130K 36 - 0,01 78,08 0 7 x 10 8 x 1 , 0 0 a) 40 b) 37 c) 910 d) 16 e) 24 f) 41 17,042 0 1 x 10 7 x 1 , 0 4x 2x - ETK\u0130NL\u0130K 37 - 0,01 0,001 3) f 4) b 1) d 2) a 5) e - ETK\u0130NL\u0130K 26 - - ETK\u0130NL\u0130K 38 - Grafik: Manisa ve Gaziantep \u0130llerine Ait 5 G\u00fcnl\u00fck S\u0131cakl\u0131k De\u011ferleri 1) c 2) a 3) b 4) d S\u0131cakl\u0131k (\u00b0C) : Manisa : Gaziantep 35 - ETK\u0130NL\u0130K 27 - 34 32 a) 24 b) 17 c) 78 d) 12,2 28 27 - ETK\u0130NL\u0130K 28 - 25 G\u00fcnler a) 234,2 b) 171,2 c) 3424 23 21 Sal \u00c7ar Per Cum Pzt d) 2874 e) 78850 f) 3 g) 458,5 h) 10030 \u0131) 1938 b) Sal\u0131 ve cuma c) Pazartesi, \u00e7ar\u015famba ve per\u015fembe i) 4,3 j) 190,5 k) 180,1 d) En az: Cuma En fazla: Per\u015fembe 6. S\u0131n\u0131f","- ETK\u0130NL\u0130K 39 - - ETK\u0130NL\u0130K 47 - a)\t22\t-\t15\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) 15\t-\t20\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\tc)\t10\t-\t16 1) 12 2) 24 3) 18 4) 30 d)\t26,5\t-\t35\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) 43,\t73 1) b - ETK\u0130NL\u0130K 48 - 2) d 3) c\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\t4) a - ETK\u0130NL\u0130K 40 - 1) A\u00e7\u0131n\u0131n A\u00e7\u0131n\u0131n\t 1 A\u00e7\u0131n\u0131n A\u00e7\u0131n\u0131n\t 6\u2019LI TAM DESTEK SORU BANKASI \u0130smi Sembol\u00fc 2 \u0130smi Sembol\u00fc 1 3 Tamam\u0131 Video \u00c7\u00f6z\u00fcml\u00fc 2 P\u00e9RS m(P\u00e9RS) K\u00e9BR m(K\u00e9BR) Beceri Temelli 3 Ak\u0131ll\u0131 Tahtaya Uyumlu S\u00e9RP m(S\u00e9RP) R\u00e9BK m(R\u00e9BK) Yeni Sisteme Uygun Kazan\u0131m S\u0131ral\u0131 \u00d6\u011frenme \u00ebR m(\u00ebR) \u00ebB m(\u00ebB) Nitelikli ve \u00d6zg\u00fcn Sorular 2) Y K X L Z M 1) Y 2) D - ETK\u0130NL\u0130K 41 - 6) D 7) D 3) Y 4) D 5) Y a)\t6\tbr\t-\t15\tbr2 - ETK\u0130NL\u0130K 42 - c)\t6\tbr\t-\t27\tbr2 b)\t5\tbr\t-\t10\tbr2 a) 49 br2 - ETK\u0130NL\u0130K 43 - c) 40 br2 Zeka K\u00fcp\u00fc Yay\u0131nlar\u0131 b) 36 br2 1\tkm2 - ETK\u0130NL\u0130K 44 - 30\tdam2 BRAN\u015e SORU BANKALARI 100\thm2 0,3\thm2 10000\tdam2 500\t000\tm2 3000\tm2 H\u00fccreleme Sistemli 1000000\tm2 0,5\tkm2 300000\tdm2 Yeni M\u00fcfredata Tam Uyumlu 100000000\tdm2 50\thm2 30000000\tcm2 Mant\u0131k ve Muhakeme Destekli 10000000000\tcm2 3000000000\tmm2 Kazan\u0131m S\u0131ral\u0131 5000\tdam2 Baraj A\u015famal\u0131 50000000\tdm2 4\t000\t000\tmm2 Ak\u0131ll\u0131 Tahtaya Uyumlu 5000000000\tcm2 0,0004\thm2 Nitelikli Sorular 0,04\tdam2 2\thm2 50\t000\tdm2 4\tm2 0,02\tkm2 0,05\thm2 400\tdm2 200\tdam2 5\tdam2 40000\tcm2 20000\tm2 500\tm2 2000000\tdm2 200000000\tcm2 5000000\tcm2 500000000\tmm2 - ETK\u0130NL\u0130K 45 - ar dekar hektar d\u00f6n\u00fcm 500 a 50\tdaa 5\tha 50\td\u00f6n\u00fcm 400 a 40\tdaa 4\tha 40\td\u00f6n\u00fcm 30 a 3\tdaa 0,3\tha 3\td\u00f6n\u00fcm 200 a 20\tdaa 2\tha 20\td\u00f6n\u00fcm 50000 a 5000\tdaa 500\tha 5000\td\u00f6n\u00fcm 1) R = 6 br \/ r = 3 br - ETK\u0130NL\u0130K 46 - 3) R = 10 br \/ r = 5 br 2) R = 2 br \/ r = 1 br 4) R = 8 br \/ r = 4 br 6. S\u0131n\u0131f"]