8. Sınıf Öğreniyorum Serisi Matematik Soru Bankası

["Karek\u00f6kl\u00fc \u0130fadeyi a\u00a7b \u015eeklinde Yazma Karek\u00f6kl\u00fc \u0130fadeyi a\u00a7b \u015eeklinde Yazma Karek\u00f6k i\u00e7inde tam kare olmayan bir say\u0131 varsa bu ifade iki farkl\u0131 y\u00f6ntemle a\u00a7b \u015feklinde yaz\u0131l\u0131r. 1. Y\u00f6ntem (Tam Kareden Yararlanma) 2. Y\u00f6ntem (Asal \u00c7arpanlara Ay\u0131rma) \u2022 K\u00f6k i\u00e7indeki say\u0131 \u00e7arpanlar\u0131ndan biri tam kare olacak \u2022 K\u00f6k i\u00e7indeki say\u0131 asal \u00e7arpanlar\u0131na ayr\u0131l\u0131r. bi\u00e7inde iki say\u0131n\u0131n \u00e7arp\u0131m\u0131 olarak yaz\u0131l\u0131r. \u2022 Her iki ayn\u0131 \u00e7arpandan biri k\u00f6k i\u015faretinin \u00f6n\u00fcne \u00e7ar- \u2022 Tam kare \u00e7arpan\u0131n karek\u00f6k\u00fc, k\u00f6k i\u015faretinin \u00f6n\u00fcne p\u0131larak yaz\u0131l\u0131r, farkl\u0131 \u00e7arpanlar k\u00f6k i\u00e7inde kal\u0131r. yaz\u0131l\u0131r, di\u011fer \u00e7arpan k\u00f6k i\u00e7inde kal\u0131r. \u00d6rnek: \u00e675\u2019i a\u00a7b \u015feklinde yazal\u0131m. 75 3 75 = 25\u00b73 = 5 3 25 5 5\u00a73 55 1 24 \u0131) \u2013\u00e672....................... i) \u2013\u00e680 =..................... j) \u2013\u00e696 =.................... k) \u2013\u00ca125 = ................... 1. A\u015fa\u011f\u0131daki karek\u00f6kl\u00fc ifadeleri a\u00a7b \u015feklinde yaz\u0131- n\u0131z. (a say\u0131s\u0131n\u0131 en b\u00fcy\u00fck \u00e7arpan de\u011ferini alacak bi- \u00e7imde se\u00e7iniz.) a) \u00e612 ......................... b) \u00e618 = ....................... c) \u00e620 =...................... \u00e7) \u00e628 = ....................... l) \u00ca150 =..................... m) \u00ca180 =...................... d) \u00e632 =...................... e) \u00e640 = ....................... n) \u00ca200 = .................... o) \u2013\u00ca250 = ................... f) \u00e645 =...................... g) \u00e648 = ....................... \u00f6) 4\u00a78 = ...................... p) 3\u00e624 = ..................... \u011f) \u00e650 =...................... h) \u00e663 = ....................... r) \u20133\u00e627 =.................. s) 2\u00e644 = ..................... 100 8. S\u0131n\u0131f","a\u00a7b \u015eeklinde Verilen \u0130fadeyi Karek\u00f6k \u0130\u00e7ine Alma a\u00a7b \u015eeklinde Verilen \u0130fadeyi Karek\u00f6k \u0130\u00e7ine Alma a\u00a7b \u015feklinde verilen ifadede a katsay\u0131s\u0131n\u0131 karek\u00f6k i\u00e7ine almak i\u00e7in a\u2019n\u0131n karesi al\u0131n\u0131r. Ard\u0131ndan k\u00f6k i\u00e7ine al\u0131narak i\u00e7erideki say\u0131 ile \u00e7arp\u0131l\u0131r. a b = a2 \u00b7b \u00d6rnek: 3\u00a75 ifadesinde katsay\u0131y\u0131 karek\u00f6k i\u00e7ine alal\u0131m. 3 5 = 3\u00b73\u00b75 = 32 \u00b75 = 45 25 l) 9\u00a72 = ...................... m) 10\u00a73 = ..................... n) 15\u00a72 = .................... o) 8\u00a73 = ....................... 1. A\u015fa\u011f\u0131daki karek\u00f6kl\u00fc ifadelerde katsay\u0131y\u0131 karek\u00f6k i\u00e7ine al\u0131n\u0131z. a) 2\u00a73 = ...................... b) 3\u00a72 = ....................... c) 3\u00a73 = ...................... \u00e7) 2\u00a75 = ....................... \u00f6) \u20137\u00a74 =.................... p) \u20133\u00e615 = ................... d) 3\u00a77 = ...................... e) 4\u00a77 = ....................... r) \u20134\u00e620 =.................. s) \u20135\u00e610 = ................... f) 4\u00a75 = ...................... g) 2\u00a77 = ....................... 2. A\u015fa\u011f\u0131daki e\u015fitlikler do\u011fru ise \u00f6n\u00fcndeki kutucu\u011fa \u011f) 5\u00a73 = ...................... h) 5\u00a75 = ....................... \u201c\ufffd\u201d i\u015fareti koyunuz. \u0131) 2\u00e610 = .................... i) 4\u00e611 =...................... j) 3\u00e613 = .................... k) 6\u00a75 = ...................... a) 6\u00a72 = \u00e672 b) 3\u00e615 = \u00e675 c) 7\u00e610 = \u00ca700 \u00e7) \u20134\u00a76 = \u00ca\u201396 d) 2\u00e630 = \u00ca150 e) \u20135\u00e611 = \u00ca275 f) x\u00e610 = 10x2 g) 2a2\u00a7b = 4a2 b 8. S\u0131n\u0131f 101","a\u00a7b \u015eeklinde Verilen \u0130fadeyi Karek\u00f6k \u0130\u00e7ine Alma NOT: Karek\u00f6kl\u00fc ifadelerde s\u0131ralama yap\u0131l\u0131r- \u00e7) \u00ca180 \u00a1 2\u00e645, 3\u00e630, 5\u00a76 ken, \u00f6nce katsay\u0131lar karek\u00f6k i\u00e7ine al\u0131n\u0131r, sonra d) \u00ca200 \u00a1 2\u00e650, 5\u00a78, 10\u00a72 s\u0131ralama yap\u0131l\u0131r. e) \u00ca450 \u00a1 3\u00e650, 5\u00e620, 5\u00a72 \u00d6rne\u011fin; 2\u00a77, 4\u00a72 ve 3\u00a73 say\u0131lar\u0131n\u0131 s\u0131ralayal\u0131m. 2\u00a77 = \u00e628, 4\u00a72 = \u00e632 ve 3\u00a73 = \u00e627\u2019dir. \u00e632 > \u00e628 > \u00e627 oldu\u011fu i\u00e7in, 4\u00a72 > 2\u00a77 > 3\u00a73\u2019t\u00fcr. 3. A\u015fa\u011f\u0131daki karek\u00f6kl\u00fc ifadeleri k\u00fc\u00e7\u00fckten b\u00fcy\u00fc\u011fe 5. A\u015fa\u011f\u0131daki e\u015fitliklerde bilinmeyenlerin alabilece\u011fi do\u011fru s\u0131ralay\u0131n\u0131z. de\u011ferleri bulunuz. a) 4\u00a75, 3\u00a76, 5\u00a72 = .................................................. a) 4\u00a75 = 2\u00a7a = ........................................................ b) 6\u00a73, 7\u00a72, 3\u00a75 = ................................................. b) 2\u00e624 = x\u00a76 = ..................................................... c) 3\u00a77, 10, 6\u00a72 =.................................................... c) 4\u00e618 = 6\u00a7y =...................................................... \u00e7) 4\u00a76, 2\u00e635, 14 =.................................................. \u00e7) 20\u00a7e = 2\u00ca200 = ................................................. d) \u20135\u00a75, \u20133\u00e613, \u201311 = ............................................ d) 18\u00a73 = z\u00e612 = .................................................... NOT: Karek\u00f6kl\u00fc bir ifade a\u00a7b \u015feklinde yaz\u0131l\u0131r- 6. \u00a72\u2019nin yakla\u015f\u0131k de\u011feri 1,4; \u00a73\u2019\u00fcn yakla\u015f\u0131k de\u011feri 1,7 ken a ve b birden fazla do\u011fal say\u0131 de\u011ferleri ve \u00a75\u2019in yakla\u015f\u0131k de\u011feri 2,2\u2019dir. alabilir. Buna g\u00f6re a\u015fa\u011f\u0131daki ifadelerin yakla\u015f\u0131k de\u011ferle- \u00d6rne\u011fin; \u00e672 = 2\u00e618 = 3\u00a78 = 6\u00a72\u2019dir. rini bulunuz. a) \u00e612 = ...................... b) \u00a78 = ......................... 4. A\u015fa\u011f\u0131daki karek\u00f6kl\u00fc ifadelere e\u015fit olan ifadeleri \u00e7ember i\u00e7ine al\u0131n\u0131z. c) \u00e627 =...................... \u00e7) \u00e632 = ....................... a) \u00e648 \u00a1 2\u00e612, 3\u00a78, 4\u00a73 d) \u00e648 =...................... e) \u00e675 = ....................... b) \u00ca108 \u00a1 2\u00e617, 3\u00e612, 6\u00a73 f) \u00e698=....................... g) \u00ca108 =...................... c) \u00ca128 \u00a1 2\u00e632, 4\u00e612, 8\u00a72 \u011f) \u00ca162 =..................... h) \u00ca180 =...................... 102 8. S\u0131n\u0131f","Test Karek\u00f6kl\u00fc Bir \u0130fadeyi a\u00a7b \u015eeklinde Yazma ve a\u00a7b Uyguluyorum 23 \u015eeklinde Verilen Bir \u0130fadeyi Karek\u00f6k \u0130\u00e7ine Alma 1. \u00e624 ifadesinin e\u015fiti a\u015fa\u011f\u0131dakilerden hangisidir? 6. A\u015fa\u011f\u0131daki dikd\u00f6rtgenlerden hangisi ayn\u0131 zaman- da karedir? A) 4\u00a76 B) 3\u00a78 C) 2\u00a76 D) 3\u00a72 A) B) 2\u00a77 cm 5\u00a72 cm 2. A\u015fa\u011f\u0131daki e\u015fitliklerden hangisi yanl\u0131\u015ft\u0131r? \u00e668 cm C) A) \u00e612 = 2\u00a73 B) \u00e644 = 2\u00e611 \u00e650 cm C) \u00e690 = 3\u00e610 D) \u00ca128 = 7\u00a72 D) \u00e680 cm 3\u00a76 cm 3. A\u015fa\u011f\u0131dakilerden hangisi en k\u00fc\u00e7\u00fckt\u00fcr? 8\u00e610 cm \u00e672 cm A) 6\u00a73 B) 5\u00a76 C) 4\u00e610 D) 7\u00a72 4. 10\u00a72 ifadesi hangi ard\u0131\u015f\u0131k iki do\u011fal say\u0131 aras\u0131n- dad\u0131r? A) 10 ile 11 B) 11 ile 12 7. 22.3.5 II 2.32.5 C) 13 ile 14 D) 14 ile 15 I 2.3.52 IV 22.32.5 III 5. Yukar\u0131da \u00fcsl\u00fc ifadelerin \u00e7arp\u0131m\u0131 \u015feklinde verilen 600 m2 say\u0131lardan hangisinin karek\u00f6k\u00fc 2\u00e615\u2019e e\u015fittir? A) I. B) II. C) III. D) IV. Yukar\u0131da alan\u0131 verilen kare \u015feklindeki tarlan\u0131n bir 8. \u00ca108 = m\u00a7n oldu\u011funa g\u00f6re m + n ifadesinin de\u011feri kenar uzunlu\u011fu ka\u00e7 metredir? a\u015fa\u011f\u0131dakilerden hangisi olamaz? A) 6\u00e610 B) 6\u00e615 C) 10\u00a75 D) 10\u00a76 A) 29 B) 21 C) 15 D) 9 8. S\u0131n\u0131f 103","Uyguluyorum Karek\u00f6kl\u00fc Bir \u0130fadeyi a\u00a7b \u015eeklinde Yazma ve a\u00a7b Test \u015eeklinde Verilen Bir \u0130fadeyi Karek\u00f6k \u0130\u00e7ine Alma 23 9. A\u015fa\u011f\u0131da \u00f6zde\u015f \u00fc\u00e7 yaya as\u0131lan cisimlerden olu\u015fan 12. A\u015fa\u011f\u0131daki say\u0131lardan hangisinin karek\u00f6k\u00fc al\u0131nd\u0131- g\u00f6r\u00fcn\u00fcm verilmi\u015ftir. \u011f\u0131nda katsay\u0131 4 olamaz? A) 80 B) 54 C) 32 D) 16 K L M 13. A\u015fa\u011f\u0131da d\u00f6rt farkl\u0131 cismin k\u00fctlesi verilmi\u015ftir. 4\u00a75 cm 5\u00a73 cm 6\u00a72 cm Tablo: Cisimlerin K\u00fctleleri K 5\u00e611 kg Buna g\u00f6re K, L, M cisimlerinin k\u00fctlelerinin s\u0131rala- L 7\u00a76 kg n\u0131\u015f\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? M 8\u00a73 kg A) M > L > K B) M > K > L N 9\u00a75 kg C) K > M > L D) K > L >M Bu cisimlerden hangilerinin k\u00fctlesi 15 kg\u2019dan faz- la 19 kg\u2019dan azd\u0131r? 10. a ve b do\u011fal say\u0131lar olmak \u00fczere a\u00a7b = \u00ca504\u2019t\u00fcr. A) K ve L B) K, L ve M C) L ve N D) M ve N Buna g\u00f6re b\u2019nin alabilece\u011fi en k\u00fc\u00e7\u00fck de\u011fer ka\u00e7- t\u0131r? A) 6 B) 8 C) 14 D) 16 11. I. 3\u00e615 ... 6\u00a77 14. a\u00a77 = \u00ca175 ve \u00ca216= 6\u00a7b\u2019dir. Buna g\u00f6re a a\u00b7b ifadesi a\u015fa\u011f\u0131dakilerden hangi- sine e\u015fittir? A) 450 B) 550 C) 650 D) 750 II. 2\u00e650 ... 5\u00a78 III. \u20134\u00e610 ... 5\u00a76 Yukar\u0131daki kar\u015f\u0131la\u015ft\u0131rmalar\u0131n do\u011fru olmas\u0131 i\u00e7in bo\u015f b\u0131rak\u0131lan yerlere s\u0131ras\u0131yla hangi semboller gelmelidir? A) I. < B) I. > C) I. < D) I. < 15. a, b ve c do\u011fal say\u0131lar olmak \u00fczere a3 \u00b7b5 \u00b7c4 II. = II. < II. > II. = ifadesi a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? III. > III. > III. < III. < A) abc2 ab3 B) ab2 c2 b C) ab2 c2 ab D) a2 bc ab 104 8. S\u0131n\u0131f","Test Tam Kare Olmayan Pozitif Tam Say\u0131lar\u0131n Karek\u00f6kleri Ba\u015far\u0131yorum 24 Karek\u00f6kl\u00fc \u0130fadelerin Fark\u0131l G\u00f6sterimleri 1. \u0130\u015f yerinin bir duvar\u0131n\u0131 duvar k\u00e2\u011f\u0131d\u0131 ile kaplatmak isteyen Tu\u011f\u00e7e Han\u0131m\u2019\u0131n 20 m2 duvar k\u00e2\u011f\u0131d\u0131na ihtiyac\u0131 vard\u0131r. Bu i\u015f i\u00e7in rulo h\u00e2linde duvar k\u00e2\u011f\u0131d\u0131 almak isteyen Tu\u011f\u00e7e Han\u0131m bir ma\u011fazada a\u015fa\u011f\u0131daki duvar k\u00e2\u011f\u0131tlar\u0131n\u0131 g\u00f6r\u00fcyor. I. II. III. IV. 11\u00a73 m2 7\u00a77 m2 9\u00a75 m2 8\u00a76 m2 Duvar k\u00e2\u011f\u0131tlar\u0131n\u0131n \u00fczerinde her birinin ka\u00e7 m2 alan\u0131 kaplayabilece\u011fi yaz\u0131lm\u0131\u015ft\u0131r. Buna g\u00f6re verilen duvar k\u00e2\u011f\u0131tlar\u0131ndan hangisi belirtilen duvar\u0131 tamamen kaplar? A) I. B) II. C) III. D) IV. 2. Eni 6,5 m olan bir odan\u0131n k\u00f6\u015felerine enleri s\u0131ras\u0131yla 15 ve 20 dm olan bir kitapl\u0131k ve bir dolap a\u015fa\u011f\u0131daki gibi yerle\u015f- tirilmi\u015ftir. 6,5 m 15 dm 20 dm Bu odada kitapl\u0131k ile dolap aras\u0131na bir \u00e7al\u0131\u015fma masas\u0131 koyulacakt\u0131r. Buna g\u00f6re koyulmak istenen \u00e7al\u0131\u015fma masas\u0131n\u0131n eni desimetre cinsinden a\u015fa\u011f\u0131dakilerden hangisi olabilir? A) 7\u00e625 B) 6\u00e630 C) 8\u00e615 D) 6\u00e620 8. S\u0131n\u0131f 105","Ba\u015far\u0131yorum Tam Kare Olmayan Pozitif Tam Say\u0131lar\u0131n Karek\u00f6kleri Test Karek\u00f6kl\u00fc \u0130fadelerin Fark\u0131l G\u00f6sterimleri 24 3. A\u015fa\u011f\u0131da bir k\u0131rtasiyede sat\u0131lan iki farkl\u0131 boya kalemi kutusu ve i\u00e7lerindeki boya kalemi say\u0131s\u0131 g\u00f6sterilmi\u015ftir. 12\u2019li Boya 18\u2019li Boya Kalemi Kalemi 30 TL 45 TL Bir m\u00fc\u015fteri her iki kutudan da lira cinsinden fiyatlar\u0131n\u0131n karek\u00f6klerinin en yak\u0131n oldu\u011fu do\u011fal say\u0131 adedinde sat\u0131n al\u0131yor. Buna g\u00f6re m\u00fc\u015fterinin sat\u0131n ald\u0131\u011f\u0131 toplam boya kalemi say\u0131s\u0131 ka\u00e7t\u0131r? A) 174 B) 186 C) 198 D) 210 4. A\u015fa\u011f\u0131daki zeminde dikd\u00f6rtgenler prizmas\u0131 bi\u00e7iminde y\u00fckseklikleri farkl\u0131 \u00fc\u00e7 beton blok bulunmaktad\u0131r. Bu bloklar\u0131n y\u00fckseklikleri kar\u0131\u015f\u0131k olarak 4\u00e611 dm, 3\u00e615 dm ve 8\u00a73 dm\u2019dir. \u00d6n Bloklar \u015fekildeki gibi zemindeyken y\u00fcksekli\u011fi 4\u00e611 dm olan k\u0131rm\u0131z\u0131, 3\u00e615 dm olan mavi, 8\u00a73 dm olan sar\u0131 renk ile boyan\u0131yor. Buna g\u00f6re bloklar\u0131n boyama sonunda \u00f6nden g\u00f6r\u00fcn\u00fcm\u00fc a\u015fa\u011f\u0131dakilerden hangisi olur? A) B) C) D) 106 8. S\u0131n\u0131f","Test Tam Kare Olmayan Pozitif Tam Say\u0131lar\u0131n Karek\u00f6kleri Ba\u015far\u0131yorum 24 Karek\u00f6kl\u00fc \u0130fadelerin Fark\u0131l G\u00f6sterimleri 5. A\u015fa\u011f\u0131da \u00fc\u00e7 adet un paketi ve bu un paketlerindeki un miktar\u0131 verilmi\u015ftir. A kg 25 kg B kg I. paket II. paket III. paket Yunus, II. paketten \u00e672 kg un ald\u0131\u011f\u0131nda II. pakette kalan un miktar\u0131 I. paketten fazla III. paketten az olmu\u015ftur. A ve B ard\u0131\u015f\u0131k do\u011fal say\u0131lar oldu\u011funa g\u00f6re A + B a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? A) 32 B) 33 C) 34 D) 35 6. Y\u00fckseklikleri 6 m ve 7 m olan A ile B direkleri aras\u0131na, boyu 3 m olan bir fidan dikilmi\u015ftir. B A 7m 6m 2m Zemin (yatay) Bir s\u00fcre sonra bu fidan\u0131n boyu A dire\u011finin y\u00fcksekli\u011finden fazla, B dire\u011finin y\u00fcksekli\u011finden az olmu\u015ftur. Buna g\u00f6re bu fidan, dikildikten sonra ka\u00e7 metre uzam\u0131\u015f olabilir? A) \u00e610 B) 2\u00a73 C) 2\u00a75 D) 3\u00a73 8. S\u0131n\u0131f 107","Ba\u015far\u0131yorum Tam Kare Olmayan Pozitif Tam Say\u0131lar\u0131n Karek\u00f6kleri Test Karek\u00f6kl\u00fc \u0130fadelerin Fark\u0131l G\u00f6sterimleri 24 7. A\u015fa\u011f\u0131da alan\u0131 160 cm2 olan bir kare ve ard\u0131\u015f\u0131k iki tam say\u0131 aras\u0131 mesafesi 1 cm olan bir say\u0131 do\u011frusu verilmi\u015ftir. AD 160 cm2 \u20138 \u20137 \u20136 \u20135 \u20134 \u20133 \u20132 \u20131 0 1 2 3 4 5 6 7 8 BC Bu kare, makasla kesilerek 4 e\u015f par\u00e7aya ayr\u0131l\u0131yor ve par\u00e7alardan biri, k\u00f6\u015fesi say\u0131 do\u011frusunda 3 tam say\u0131s\u0131n\u0131n bu- lundu\u011fu noktaya denk gelecek \u015fekilde konuluyor. Buna g\u00f6re, bu par\u00e7an\u0131n di\u011fer k\u00f6\u015felerinden biri say\u0131 do\u011frusunda hangi iki ard\u0131\u015f\u0131k tam say\u0131 aras\u0131nda olabilir? A) 8 ile 9 B) 6 ile 7 C) \u20132 ile \u20133 D) \u20133 ile \u20134 8. Murat, 48 say\u0131s\u0131n\u0131n\u0131n t\u00fcm pozitif tam say\u0131 \u00e7arpanlar\u0131- 9. A\u015fa\u011f\u0131da bir hik\u00e2ye kitab\u0131 verilmi\u015ftir. n\u0131n karek\u00f6klerinin yak\u0131n oldu\u011fu tam say\u0131lar\u0131 ayr\u0131 ayr\u0131 a\u015fa\u011f\u0131daki bo\u015f kartlara yazm\u0131\u015ft\u0131r. Daha sonra bu kartlar\u0131 toplamlar\u0131 e\u015fit olacak \u015fekilde Bu kitab\u0131n sayfa say\u0131s\u0131 ile ilgili a\u015fa\u011f\u0131daki bilgiler ve- iki gruba ay\u0131rm\u0131\u015ft\u0131r. rilmi\u015ftir. Buna g\u00f6re, grubun birindeki kart say\u0131s\u0131 en fazla \u2022 Karek\u00f6k\u00fcn\u00fcn de\u011feri 14,5\u2019den k\u00fc\u00e7\u00fckt\u00fcr. ka\u00e7t\u0131r? \u2022 4 farkl\u0131 asal \u00e7arpan\u0131 vard\u0131r. A) 4 B) 5 C) 6 D) 7 Buna g\u00f6re, bu kitab\u0131n sayfa say\u0131s\u0131n\u0131n rakamla- r\u0131 toplam\u0131n\u0131n karek\u00f6k\u00fcn\u00fcn en yak\u0131n oldu\u011fu tam say\u0131 a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? A) 2 B) 3 C) 4 D) 5 108 8. S\u0131n\u0131f","Karek\u00f6kl\u00fc \u0130fadelerde \u00c7arpma \u0130\u015flemi Karek\u00f6kl\u00fc ifadelerle \u00e7arpma i\u015flemi yap\u0131l\u0131rken: 1. Katsay\u0131lar kendi aralar\u0131nda \u00e7arp\u0131larak katsay\u0131 \u015feklinde yaz\u0131l\u0131r. 2. Karek\u00f6k i\u00e7indeki say\u0131lar kendi aralar\u0131nda \u00e7arp\u0131larak karek\u00f6k\u00fcn i\u00e7ine yaz\u0131l\u0131r. a x \u00b7b y = a\u00b7b x\u00b7y \u00d6rnek: 3 \u00b7 10 = 30 , 2 7 \u00b73 2 = 2\u00b73 7\u00b72 = 6 14 26 NOT: \u00c7arpma i\u015flemini yapmadan \u00f6nce ya da sonu\u00e7 bulununca karek\u00f6k\u00fcn i\u00e7indeki say\u0131 k\u00f6k 1. A\u015fa\u011f\u0131da verilen \u00e7arpma i\u015flemlerini yap\u0131n\u0131z. d\u0131\u015f\u0131na \u00e7\u0131kabiliyorsa \u00e7\u0131kar\u0131l\u0131r. a) \u00a73\u00b7\u00a77 = .............................................................. b) \u00a75\u00b7\u00a72 = ............................................................. 2. A\u015fa\u011f\u0131da verilen \u00e7arpma i\u015flemlerini yap\u0131n\u0131z. c) \u00a75\u00b74\u00a73 = ........................................................... \u00e7) 2\u00a76\u00b7\u00a75 = ........................................................... a) 3\u00a73\u00b7\u00e620 = .......................................................... d) 3\u00a73\u00b7\u00e611 =.......................................................... b) \u00e618\u00b72\u00a76 = .......................................................... e) 2\u00b73\u00a77 = ............................................................. c) \u00e650\u00b7\u00e640 =......................................................... f) 5\u00a75\u00b74 = ............................................................. \u00e7) \u00ca75\u00b7\u00e612 =.......................................................... g) 9\u00a72\u00b74\u00a73 = .......................................................... d) \u00e698\u00b7(\u2013\u00e627) = ..................................................... \u011f) 6\u00a75\u00b73\u00a73 = .......................................................... e) (\u2013\u00e645)\u00b7(\u2013\u00e628)\u00b73 =............................................ h) 4\u00e611\u00b73\u00a75 =......................................................... \u0131) \u00a75\u00b7\u00a72\u00b7\u00a73 =........................................................ NOT: Bir karek\u00f6kl\u00fc ifadenin kendisiyle \u00e7arp\u0131m\u0131 i) (\u20132\u00e610)\u00b7(\u2013\u00a73) = ................................................. k\u00f6k i\u015faretini kald\u0131r\u0131r ve sonu\u00e7 k\u00f6k\u00fcn i\u00e7indeki j) 6\u00b72\u00a77\u00b7(\u20133\u00a75) = ................................................. say\u0131ya e\u015fit olur. \u00d6rne\u011fin, \u00a73\u00b7\u00a73 = 3, \u00e610\u00b7\u00e610 = 10 2\u00a75\u00b72\u00a75 = 4\u00b75 = 20 8. S\u0131n\u0131f 109","Karek\u00f6kl\u00fc \u0130fadelerde \u00c7arpma \u0130\u015flemi 3. A\u015fa\u011f\u0131da kenar uzunluklar\u0131 verilen dikd\u00f6rtgensel 4. A\u015fa\u011f\u0131daki \u00e7arpma tablosunda bo\u015f b\u0131rak\u0131lan kutu- ya da paralelkenarsal b\u00f6lgelerin alanlar\u0131n\u0131 bulu- lar\u0131 doldurunuz. nuz. \u00b7 \u00a72 3\u00a75 \u20134 \u00e675 a) \u00a77 cm b) \u00a76 cm 2 \u00e610 cm \u00a76 \u00e611 cm 3 c) 7\u00a75 cm \u00e7) \u00e613 cm \u00e663 2\u00e610 4\u00a73 cm 6\u00a73 cm e) 2\u00e610 cm 5. A\u015fa\u011f\u0131da ayr\u0131t uzunluklar\u0131 verilen dik prizmalar\u0131n hacimlerini bulunuz. a) Hacim = d) 6 cm \u00e668 cm 4\u00a75 cm \u00e6192 cm 2\u00a72 cm 2\u00a73 cm b) 2\u00a75 cm Hacim = 5\u00a72 cm \u00a74 cm f) \u00e660 cm \u00e630 cm g) 6. A\u015fa\u011f\u0131da alanlar\u0131 verilen karesel b\u00f6lgelerin \u00e7evre 5\u00a73 cm uzunluklar\u0131n\u0131 bulunuz. \u011f) 5 br 2\u00a78 cm Alan\u0131 \u00c7evre Uzunlu\u011fu a) 90 cm2 h) 6\u00a72 cm b) 120 cm2 c) 243 cm2 4\u00e627 cm 3\u00a73 cm \u00e7) 288 cm2 110 8. S\u0131n\u0131f","Karek\u00f6kl\u00fc Bir \u0130fadeyi Do\u011fal Say\u0131 Yapan \u00c7arpanlar a ve b birer pozitif tam say\u0131 olmak \u00fczere a\u00a7b \u015feklindeki bir say\u0131, i\u00e7inde \u00a7b olan bir \u00e7arpan ile \u00e7arp\u0131l\u0131rsa sonu\u00e7 bir do\u011fal say\u0131 olur. \u00d6rnek: \u2022 3\u00a77\u00b75\u00a77 \u00e7arp\u0131m\u0131nda karek\u00f6k i\u00e7leri ayn\u0131 oldu\u011fu i\u00e7in sonu\u00e7 15\u00b77 = 105 ve bir do\u011fal say\u0131 olur. \u2022 \u00e618\u00b7\u00e672 = 3\u00a72\u00b76\u00a72 = 18\u00b72 = 36 (\u00c7arp\u0131lan say\u0131lar\u0131n k\u00f6k i\u00e7leri ayn\u0131 oldu\u011fu i\u00e7in sonu\u00e7 do\u011fal say\u0131d\u0131r.) 27 2. A\u015fa\u011f\u0131da verilen karek\u00f6kl\u00fc ifadelerle \u00e7arp\u0131ld\u0131\u011f\u0131n- da sonucu do\u011fal say\u0131 yapan \u00e7arpanlara iki\u015fer \u00f6r- 1. A\u015fa\u011f\u0131da verilen karek\u00f6kl\u00fc ifadeler altlar\u0131nda ya- nek yaz\u0131n\u0131z. z\u0131l\u0131 hangi ifadeler ile \u00e7arp\u0131ld\u0131klar\u0131nda sonu\u00e7 do\u011fal say\u0131 olur. Uygun olanlar\u0131 \u00e7ember i\u00e7ine al\u0131n\u0131z. a) \u00a78 \u00a1................................................................... a) \u00a72 b) \u00e612 \u00a1 ................................................................ 3\u00a72 4\u00a73 5\u00a72 c) \u00e624 \u00a1................................................................ b) \u00e613 4\u00e613 \u00e7) \u00e628 \u00a1................................................................ 2\u00e611 13\u00a72 d) \u00e645 \u00a1................................................................. c) \u00a77 \u00a77 3. \u00e632\u00b7a ifadesi bir do\u011fal say\u0131d\u0131r. Buna g\u00f6re a ye- 6\u00a77 5\u00a76 rine a\u015fa\u011f\u0131dakilerden hangisi yaz\u0131labilir, uygun olanlar\u0131n \u00f6n\u00fcndeki kutucu\u011fa \u201c\ufffd\u201d i\u015fareti koyunuz. \u00e7) \u00a73 a) 11\u00a72 b) \u00e698 \u00e618 \u00e675 \u00e627 c) \u00e648 \u00e7) \u00e672 d) \u00a75 \u00e680 \u00e675 \u00ca180 d) \u00e618 e) \u00ca108 e) \u00e610 \u00ca240 f) 4\u00a76 g) \u00ca125 \u00e670 \u00ca160 8. S\u0131n\u0131f 111","Karek\u00f6kl\u00fc Bir \u0130fadeyi Do\u011fal Say\u0131 Yapan \u00c7arpanlar 4. A\u015fa\u011f\u0131da sol ve sa\u011f s\u00fctunlarda verilen karek\u00f6kl\u00fc 6. 1 \u00b71 ifadeleri \u00e7arp\u0131mlar\u0131 do\u011fal say\u0131 olacak \u015fekilde iki- \u00a74\u00b7\u00e649 11 6 \u015ferli olarak e\u015fle\u015ftiriniz. \u00a76\u00b7\u00e696 41 \u00b7 Sol Sa\u011f 2 \u00b72 5 82 \u00e610 \u00e654 5 6 \u00b7 2 11 2\u00a73 \u00e620 11 24 \u00ca300\u00b7\u00a73 \u00a78 \u00e690 \u00e662\u00b7\u00a75 \u00ca112 4\u00a77 \u00a72\u00b7\u00a72\u00b7\u00a72\u00b7\u00a72 \u00e636\u00b7\u00e616\u00b7\u00e610 2\u00a76 \u00e675 Yukar\u0131daki pullarda yaz\u0131l\u0131 i\u015flemlerden sonucu \u00ca125 \u00e650 do\u011fal say\u0131 olanlar\u0131n adedi, sonucu do\u011fal say\u0131 ol- mayanlar\u0131n adedinden ka\u00e7 fazlad\u0131r? 5. A\u015fa\u011f\u0131daki dikd\u00f6rtgensel b\u00f6lgelerden santimetre- kare cinsinden alanlar\u0131 do\u011fal say\u0131 olanlar\u0131n i\u00e7ine \u201c\ufffd\u201d i\u015fareti koyunuz. a) 5\u00a73 br b) \u00e610 br \u00a73 br \u00e620 br 7. K\u0131sa kenar\u0131n\u0131n uzunlu\u011fu \u00ca180 cm olan dikd\u00f6rtgen bi\u00e7imindeki kartonun santimetrekare cinsinden \u00f6n y\u00fcz\u00fcn\u00fcn alan\u0131 bir do\u011fal say\u0131d\u0131r. Buna g\u00f6re bu kartonun uzun kenar\u0131n\u0131n uzunlu\u011fu en az ka\u00e7 santimetredir? c) 2\u00a77 br \u00e7) \u00a78 br \u00e621 br 18 br \u00a72 d) e) 5\u00a75 br 8. \u00e618\u00b7a i\u015fleminin sonucu 50\u2019den k\u00fc\u00e7\u00fck bir do\u011fal sa- y\u0131d\u0131r. Buna g\u00f6re a yerine yaz\u0131labilecek say\u0131lar\u0131 bulunuz. \u00e660 br \u00e680 br 1 br \u00a75 112 8. S\u0131n\u0131f","Test Karek\u00f6kl\u00fc \u0130fadelerde \u00c7arpma \u0130\u015flemi Uyguluyorum 25 1. 6. A\u015fa\u011f\u0131daki e\u015fitliklerden hangisi yanl\u0131\u015ft\u0131r? \u00a73\u00b7\u00a75 A) \u00e625\u00b7\u00a74 = 10 i\u015fleminin sonucu ka\u00e7t\u0131r? B) \u00a76\u00b7\u00a76\u00b7\u00a76 = 36 C) \u00e664\u00b7\u00a71 = 8 A) 5\u00a73 B) 3\u00a75 C) \u00e615 D) \u00a78 D) \u00a72\u00b7\u00a72\u00b7\u00a72\u00b7\u00a72 = 4 2. 7. 3\u00a77\u00b75\u00a72 i\u015fleminin sonucu ka\u00e7t\u0131r? \u00ca150 A) \u00e672 B) 8\u00e614 C) 15\u00e610 D) 15\u00e614 \u2022 ? 3. \u00e632 \u00a75\u00b74\u00e610 Yukar\u0131daki \u015fekilde ? yerine yaz\u0131lmas\u0131 gereken i\u015fleminin sonucu ka\u00e7t\u0131r? D) 20\u00a72 say\u0131 ka\u00e7t\u0131r? A) 10\u00a72 B) 10\u00a75 C) 12\u00a75 A) 40\u00a73 B) 30\u00a73 C) 24\u00a76 D) 18\u00a78 4. A\u015fa\u011f\u0131daki i\u015flemlerden hangisinin sonucu \u00e645\u2019e 8. e\u015fit de\u011fildir? A) B) K = 3\u00a73 L = 2\u00a75 \u00a73\u00b7\u00e615 5\u00b7\u00a73 C) 3\u00b7\u00a75 D) Verilenlere g\u00f6re K\u00b7L ka\u00e7t\u0131r? \u00a79\u00b7\u00a75 A) 6\u00a78 B) 5\u00e615 C) 6\u00e615 D) 8\u00a78 5. \u00a72\u00b7\u00e612\u00b7\u00a76 i\u015fleminin sonucu ka\u00e7t\u0131r? 9. (\u00a75)4 ifadesinin de\u011feri ka\u00e7t\u0131r? A) 12 B) 12\u00a72 C) 12\u00a73 D) 12\u00a76 A) 5 B) 25 C) 25\u00a75 D) 12\u00a75 8. S\u0131n\u0131f 113","Uyguluyorum Karek\u00f6kl\u00fc \u0130fadelerde \u00c7arpma \u0130\u015flemi Test 25 10. Alan\u0131 16\u00a76 olan bir dikd\u00f6rtgenin kenar uzunlukla- 14. r\u0131 a\u015fa\u011f\u0131dakilerden hangisi olabilir? 37 + 37 + 37 D) 81 Uzun Kenar (cm) K\u0131sa Kenar (cm) i\u015fleminin sonucu ka\u00e7t\u0131r? A) \u00a76 16 A) 3 B) 9 C) 27 B) 2\u00a72 8\u00a73 C) 4\u00a73 4\u00a72 D) 3\u00a75 5\u00a72 11. 2\u00a77.\u00a77 \u00e650.\u00e610 \u00e625.\u00a79 15. 2+ 1 \u00b7 1- 3 3\u00e611 . 11\u00a73 40 5 i\u015fleminin sonucu ka\u00e7t\u0131r? 3 9 10 4 A) 4 B) 10 C) 9 D) 3 Yukar\u0131daki balonlarda yazan i\u015flemlerden sonucu do\u011fal say\u0131 olanlar\u0131n sonu\u00e7lar\u0131 toplam\u0131 ka\u00e7t\u0131r? A) 48 B) 36 C) 33 D) 29 16. x = \u00a72 , y = \u00a73 , z = \u00a75 12. \u00e645 say\u0131s\u0131 a\u015fa\u011f\u0131dakilerden hangisi ile \u00e7arp\u0131l\u0131rsa oldu\u011funa g\u00f6re \u00ca600 say\u0131s\u0131n\u0131n x, y ve z cinsinden sonu\u00e7 do\u011fal say\u0131 olur? yaz\u0131l\u0131\u015f\u0131 a\u015fa\u011f\u0131dakilerden hangisidir? A) \u00e620 B) \u00e618 C) \u00e615 D) \u00e612 A) x2y2z B) x3yz2 C) x2yz3 D) x3z2 13. \u00a78\u00b7\u00e620 i\u015flemini sonucu a\u015fa\u011f\u0131dakilerden hangi- siyle \u00e7arp\u0131l\u0131rsa sonu\u00e7 do\u011fal say\u0131 olur? 1 1 17. A\u015fa\u011f\u0131daki i\u015flemlerden hangisinin sonucu tam A) B) kare bir say\u0131d\u0131r? 3 10 3 20 1 1 A) 8\u00a73\u00b710\u00a73 B) 9\u00a75\u00b76\u00a75 C) D) C) 12\u00a72\u00b7\u00e672 D) 4\u00a76\u00b7\u00e624 10 55 114 8. S\u0131n\u0131f","Karek\u00f6kl\u00fc \u0130fadelerle B\u00f6lme \u0130\u015flemi Karek\u00f6kl\u00fc ifadelerle b\u00f6lme i\u015flemi yap\u0131l\u0131rken: 1. Katsay\u0131lar kendi aralar\u0131nda b\u00f6l\u00fcn\u00fcr ve katsay\u0131 olarak yaz\u0131l\u0131r. 2. Karek\u00f6k\u00fcn i\u00e7indeki say\u0131lar kendi aralar\u0131nda b\u00f6l\u00fcnerek karek\u00f6k\u00fcn i\u00e7ine yaz\u0131l\u0131r. b ! 0 ve y!0 $ a x = a \u00b7 x b y b y \u00d6rnek: \u2022 15 \u2022 12 10 12 10 =3 3 2 =c 3 m =4 5 5 2 \u2022 6 8 = c 6 m 8 = 3 4 = 3\u00b72 = 6 2 2 2 2 28 NOT: \u00c7arpma i\u015flemi yapt\u0131ktan sonra, sonu\u00e7ta karek\u00f6k\u00fcn i\u00e7indeki say\u0131 k\u00f6k d\u0131\u015f\u0131na \u00e7\u0131kabiliyor- 1. A\u015fa\u011f\u0131da verilen b\u00f6lme i\u015flemlerini yap\u0131n\u0131z. sa \u00e7\u0131kar\u0131l\u0131r. a) 12 =................................................................ \u011f) 20 24 =........................................................... 6 53 b) 3 20 =............................................................ h) 7 120 = .......................................................... 4 6 c) 10 6 = ............................................................ \u0131) -30 60 =........................................................ 52 - 5 15 \u00e7) 24 = .............................................................. i) 21 96 = .......................................................... 6 33 8 90 =............................................................ j) 450 : 5 =........................................................... d) 2 10 e) - 150 = .......................................................... k) 4 98 : 32 = .................................................... 15 f) 6 42 =............................................................. l) 26 27 :13 3 = ................................................. -2 7 g) - 120 = ........................................................... m) ^-11 75 h:11 3 = .............................................. 20 8. S\u0131n\u0131f 115","Karek\u00f6kl\u00fc \u0130fadelerle B\u00f6lme \u0130\u015flemi 2. A\u015fa\u011f\u0131da verilen karek\u00f6kl\u00fc ifadelerin de\u011ferini bu- 4. A\u015fa\u011f\u0131da verilen \u00fc\u00e7gensel b\u00f6lgelerin alanlar\u0131n\u0131 lunuz. bulunuz. a) b) a) 4 = ................... b) 25 =................... 9 16 3\u00a73 br c) 144 = ................ \u00e7) 100 = ................. 3 br 6\u00a74 br5\u00a78 br 49 36 c) \u00e7) 7\u00e612 br d) 225 = ............... e) 81 = ................. 169 196 f) 400 = ............... g) 25 = ................. \u00a76 br 900 100 \u00ca128 br \u011f) 3 = ................ h) 75 =................... 108 3 \u00ca147 br \u0131) 19 = ................ i) 3 + 13 = ............. 16 36 3. A\u015fa\u011f\u0131da alanlar\u0131 ve bir kenar uzunluklar\u0131 verilen 5. \u00d6n y\u00fcz\u00fcn\u00fcn alan\u0131 240 cm2 olan kare bi\u00e7imindeki dikd\u00f6rtgensel b\u00f6lgelerin verilmeyen kenar\u0131n\u0131n bir kartonun \u00e7evre uzunlu\u011fu ka\u00e7 santimetredir? uzunlu\u011funu bulunuz. 6. Dikd\u00f6rt- Uzun K\u0131sa gen Kenar\u0131 Kenar\u0131 Alan\u0131 a) \u00e690 cm2 \u00e615 cm ............... b) 18\u00a73 cm2 ............... 2 cm c) 20\u00a72 cm2 4\u00a75 cm ............... \u00e7) 3\u00e640 cm2 6\u00a72 cm ............... Yukar\u0131daki \u015fekil e\u015f dikd\u00f6rtgenlerden olu\u015furken \u015fek- d) 2\u00e615 cm2 ............... \u00a75 cm lin \u00e7evre uzunlu\u011fu 36\u00a75 cm\u2019dir. e) 2\u00ca180 cm2 12 cm ............... Buna g\u00f6re dikd\u00f6rtgen par\u00e7alardan birinin alan\u0131 ka\u00e7 santimetrekaredir? f) 30\u00e642 cm2 6\u00a76 cm ............... 116 8. S\u0131n\u0131f","Test Karek\u00f6kl\u00fc \u0130fadelerle B\u00f6lme \u0130\u015flemi Uyguluyorum 26 1. 5. 2 \u00e642 : \u00a76 32 i\u015fleminin sonucu ka\u00e7t\u0131r? ifadesinin de\u011feri a\u015fa\u011f\u0131dakilerden hangisidir? A) \u00e614 B) \u00a77 C) \u00a75 D) \u00a73 1 1 C) 1 D) 1 A) 16 B) 8 4 2 2. 6. \u00ca216 \u00e640 : \u00e610 Yukar\u0131daki \u00e7ubuk uzunlu\u011fu \u00a76 cm olan e\u015f par\u00e7alara i\u015fleminin sonucu ka\u00e7t\u0131r? ayr\u0131lmak isteniyor. Buna g\u00f6re bu i\u015f i\u00e7in ka\u00e7 kesim i\u015flemi yap\u0131lmal\u0131- A) 2 B) 2\u00a72 C) 4 D) 4\u00a72 d\u0131r? A) 4 B) 5 C) 6 D) 7 3. I. \u00e633 : \u00a73 = 11 II. 10\u00a77 : \u00a77 = 10 III. \u00e638 : 2\u00e619 = 1 \u00a72 2 Yukar\u0131daki e\u015fitliklerden hangileri do\u011frudur? 7. 27 \u00b7 3 A) Yaln\u0131z II B) I ve III C) II ve III D) I, II ve III 162 i\u015fleminin sonucu ka\u00e7t\u0131r? \u00a73 1 B)1 C) 2 D) 2 A) \u00a72 4. A\u015fa\u011f\u0131daki i\u015flemlerden hangisinin sonucu en b\u00fc- y\u00fckt\u00fcr? A) 15\u00b72 2 B) 8. 12 p:f 5 10 8 3 \u00b76 p 63 f 4 3 60 C) D) i\u015fleminin sonucu ka\u00e7t\u0131r? 2 5 \u00b74 5 12\u00b73 6 2 63 A) 2\u00a75 B) 2\u00a73 C) \u00a73 D) \u00a75 8. S\u0131n\u0131f 117","Uyguluyorum Karek\u00f6kl\u00fc \u0130fadelerle B\u00f6lme \u0130\u015flemi Test 26 9. 12. 4\u00e615 cm \u00ca192 cm \u00a75 cm \u00a75 cm \u00ca108 cm x Yukar\u0131da g\u00f6sterilen dikd\u00f6rtgen \u015feklindeki odan\u0131n ta- ban\u0131, bir kenar uzunlu\u011fu 2\u00a73 cm olan kare \u015feklindeki Yukar\u0131daki dikd\u00f6rtgensel ve \u00fc\u00e7gensel b\u00f6lgelerin fayanslar ile tamamen kaplanacakt\u0131r. alanlar\u0131 birbirine e\u015fittir. Buna g\u00f6re x ka\u00e7 santimetredir? A) 2\u00e615 B) 4\u00e615 C) 6\u00e615 D) 8\u00e615 Bunun i\u00e7in en az ka\u00e7 fayansa ihtiya\u00e7 vard\u0131r? A) 24 B) 20 C) 16 D) 12 13. Kenan, \u00ca240 km uzunlu\u011fundaki yolun 3 4 \u2019\u00fcn\u00fc gidiyor. Buna g\u00f6re Kenan\u2019\u0131n gitti\u011fi yol ka\u00e7 kilometredir? A) \u00e660 B) \u00e690 C) \u00ca135 D) \u00ca175 10. Dikd\u00f6rtgenler prizmas\u0131n\u0131n hacmi, taban alan\u0131 ile y\u00fck- sekli\u011fin \u00e7arp\u0131m\u0131na e\u015fittir. Hacmi 1440 br3 ve y\u00fcksekli\u011fi 40 br olan dik- d\u00f6rtgenler primas\u0131n\u0131n taban ayr\u0131t uzunluklar\u0131 bi- rim cinsinden a\u015fa\u011f\u0131dakilerden hangisi olabilir? A) 3\u00a72 ile 2\u00a72 B) \u00a76 ile 1 1 + 1 \u00b7 1 + 1 \u00b7 1 + 1 \u00b7.....\u00b7 1 + 1 C) 2\u00a73 ile \u00a72 D) \u00a73 ile 2\u00a73 14. 5 6 7 24 1 - 1 \u00b7 1 - 1 \u00b7 1 - 1 \u00b7.....\u00b7 1 - 1 567 24 i\u015fleminin sonucu ka\u00e7t\u0131r? A) \u00e630 B) 2\u00a75 C) 3 2 2 D) 3 11. (2\u00e610)3 : (3\u00a75)2 i\u015fleminin sonucu ka\u00e7t\u0131r? 16 10 16 10 15. 32x + a A) 3 B) 9 =9 9x + 7 8 10 8 10 C) 3 D) 9 oldu\u011funa g\u00f6re a ka\u00e7t\u0131r? A) 18 B) 15 C) 11 D) 8 118 8. S\u0131n\u0131f","Karek\u00f6kl\u00fc \u0130fadelerle Toplama \u0130\u015flemi Karek\u00f6k i\u00e7leri ayn\u0131 olan karek\u00f6kl\u00fc ifadeler toplan\u0131rken katsay\u0131lar toplan\u0131r, toplam ise katsay\u0131 olarak ortak karek\u00f6ke yaz\u0131l\u0131r. a x + b x = ^a + bh x \u00d6rnek: \u2022 2\u00a73 + 4\u00a73 = (2 + 4)\u00a73 = 6\u00a73 Karek\u00f6k i\u00e7leri ayn\u0131 olmayan karek\u00f6kl\u00fc ifadeler \u00f6nce a\u00a7b \u015feklinde yaz\u0131l\u0131r ve k\u00f6k i\u00e7leri ayn\u0131 yap\u0131lmaya \u00e7al\u0131\u015f\u0131l\u0131r. K\u00f6k i\u00e7leri ayn\u0131 yap\u0131lam\u0131yorsa toplama i\u015flemi aynen kal\u0131r. \u2022 \u00e620 + \u00e645 = 2\u00a75 + 3\u00a75 = 5\u00a75 \u2022 \u00a77 + 4\u00a73 \u20ba Toplanamaz, ayn\u0131 \u015fekilde kal\u0131r. 29 3. A\u015fa\u011f\u0131da verilen toplama i\u015flemlerini yap\u0131n\u0131z. a) \u00e618 + \u00a78 = .......................................................... 1. A\u015fa\u011f\u0131da verilen toplama i\u015flemlerini yap\u0131n\u0131z. b) \u00e612 + \u00e627 = ....................................................... a) \u00e636 + \u00e625 = ........................................................ c) \u00e645 + 2\u00a75 = ....................................................... b) \u00e649 + \u00a71 =.......................................................... \u00e7) 5\u00e610 + \u00e640 = ..................................................... c) \u00a74 + \u00ca121 = ........................................................ d) 3\u00e632 + 2\u00e618 = ................................................... \u00e7) \u00e681 + \u00a70 = .......................................................... e) 5\u00e612 + \u00e648 = ..................................................... d) \u00ca169 + \u00ca225 + \u00a79 = ............................................ f) 2\u00e663 + 5\u00a77 = ...................................................... e) \u00e664 + \u00ca400 + \u00ca169 = ........................................... g) \u00e650 + \u00a72 + \u00e698 =................................................ \u011f) \u00a76 + \u00e624 + 2\u00e654 =.............................................. 2. A\u015fa\u011f\u0131da verilen toplama i\u015flemlerini yap\u0131n\u0131z. h) \u00e611 + \u00e644 + \u00e699 =............................................... a) 5\u00a72 + 2\u00a72 = ........................................................ \u0131) 3\u00e660 + \u00e615 + \u00ca135 = ........................................... b) 3\u00a73 + 6\u00a73 = ........................................................ i)2\u00e645 + \u00e680 + \u00e640 = .............................................. c) \u00a75 + 6\u00a75 = ......................................................... \u00e7) 4\u00a76 + 2\u00a76 = ........................................................ d) 8\u00a711 + 7\u00e611 + 5\u00e611 = ......................................... e) 2\u00a77 + 5\u00e613 + 4\u00a77 = ............................................ f) 9\u00e615 + 5\u00e615 + 8\u00e613 = ......................................... 8. S\u0131n\u0131f 119","Karek\u00f6kl\u00fc \u0130fadelerle \u00c7\u0131karma \u0130\u015flemi Karek\u00f6k i\u00e7leri ayn\u0131 olan karek\u00f6kl\u00fc ifadeler \u00e7\u0131kar\u0131l\u0131rken katsay\u0131lar \u00e7\u0131kar\u0131l\u0131r, fark ise katsay\u0131 olarak ortak karek\u00f6ke yaz\u0131l\u0131r. a x - b x = ^a - bh x \u00d6rnek: 6\u00a72 \u2013 4\u00a72 = (6 \u2013 4)\u00a72 = 2\u00a72 \u2022 \u00e675 \u2013 \u00e612 = 5\u00a73 \u2013 2\u00a73 = 3\u00a73 \u2022 8\u00a75 \u2013 6\u00a73 \u2020 \u00c7\u0131kar\u0131lamaz, ayn\u0131 \u015fekilde kal\u0131r. 30 2. A\u015fa\u011f\u0131da verilen i\u015flemleri yap\u0131n\u0131z. a) 9\u00a72 \u2013 \u00e618 = ....................................................... 1. A\u015fa\u011f\u0131da verilen i\u015flemleri yap\u0131n\u0131z. b) \u00e627 \u2013 \u00a73 =........................................................ a) \u00e649 \u2013 \u00e616 =....................................................... c) \u00e632 \u2013 \u00a78 =........................................................ b) \u00e681 \u2013 \u00e625 =...................................................... \u00e7) 4\u00a77 \u2013 \u00e628 =...................................................... c) \u00ca100 \u2013 \u00e664 = .................................................... d) \u00e645 \u2013 \u00e620 = ..................................................... \u00e7) \u00a79 \u2013 \u00e636 =........................................................ e) \u00e699 \u2013 \u00e644 = ..................................................... d) 10\u00a72 \u2013 4\u00a72 = .................................................... f) 3\u00a78 \u2013 2\u00e650 =..................................................... e) 9\u00a73 \u2013 6\u00a73 =...................................................... g) \u00e654 \u2013 3\u00e624 = .................................................... f) 11\u00a75 \u2013 7\u00a75 = .................................................... \u011f) \u00e650 + \u00e618 \u2013 \u00e632 =............................................. g) 12\u00a76\u2013 8\u00a76 \u2013 2\u00a76 =............................................ h) \u00e640 \u2013 \u00e690 + \u00e610 =............................................. \u011f) 2\u00a75 \u2013 \u00a75 \u2013 5\u00a75 = .............................................. \u0131) 3\u00e620 \u2013 \u00a75 + 2\u00e645 \u2013 \u00e680 = ................................ h) 8\u00a77 \u2013 7\u00a77 \u2013 \u00a77= ............................................... i) (2\u00a73 + \u00e672) \u2013 (\u00e612 \u2013 2\u00e618) = ............................ \u0131) 5\u00e613 \u2013 4\u00e613 \u2013 7\u00a75 = ......................................... i) \u00e664 \u2013 4\u00a72 \u2013 8+4\u00a72 = ........................................ 120 8. S\u0131n\u0131f","Karek\u00f6kl\u00fc \u0130fadelerle \u00c7\u0131karma \u0130\u015flemi 3. A\u015fa\u011f\u0131da \u00e7evre uzunluklar\u0131 verilen \u015fekillerin iste- 5. Bir kar\u0131nca \u00ca450 m\u2019lik yolun \u00ca200 m\u2019lik k\u0131sm\u0131n\u0131 y\u00fc- r\u00fcyor. nen kenar uzunluklar\u0131n\u0131 bulunuz. Buna g\u00f6re kar\u0131ncan\u0131n kalan yolu ka\u00e7 metredir? a) 3\u00a73 br b) 6. \u0130\u00e7inde \u00ca600 L su bulunan bir depodan her saatte ? \u00e654 L su al\u0131nm\u0131\u015ft\u0131r. 3\u00e610 br Buna g\u00f6re 3 saat sonunda depoda ka\u00e7 litre su 5\u00e611 br? kal\u0131r? \u00c7evre = 10\u00a73 br 6\u00e611 br \u00c7evre = 20\u00e611 br c) ? \u00e7) ? \u00c7evre = 14\u00e610 br 6\u00a72 br \u00c7evre = 10\u00a78 br d) \u00e620 cm e) ? ? 3\u00a75 br \u00e696 br 7. A\u015fa\u011f\u0131da g\u00f6sterilen kartona bir y\u00fcz\u00fcn\u00fcn alan\u0131 28 cm2 \u00c7evre = 13\u00a75 br olan \u00f6zde\u015f kare \u015feklindeki etiketler kartonun kenar- \u00c7evre = 18\u00a76 br lar\u0131nda ve aralar\u0131nda bo\u015fluk kalmadan yan yana yer- le\u015ftirilmek isteniyor. 13\u00a77 4. A\u015fa\u011f\u0131daki i\u015flem \u015femas\u0131nda i\u015flemler soldan sa\u011fa do\u011fru yap\u0131lmaktad\u0131r. Buna g\u00f6re bo\u015f b\u0131rak\u0131lan kutulara yaz\u0131lmas\u0131 gere- ken say\u0131lar\u0131 bulunuz. 2\u00a77 -5\u00a77 - - -12\u00a77 a) Bu \u015fekilde kartona en fazla ka\u00e7 etiket yerle\u015fti- rilebilir? - b) Ka\u00e7\u0131nc\u0131 etiket yerle\u015ftirildi\u011fi anda panoda \u00e663 cm bo\u015fluk kal\u0131r? 8. S\u0131n\u0131f 121","Uyguluyorum Karek\u00f6kl\u00fc \u0130fadelerle Toplama \u00c7\u0131karma \u0130\u015flemleri Test 27 1. A\u015fa\u011f\u0131daki e\u015fitliklerden hangisi yanl\u0131\u015ft\u0131r? 6. \u00e690 say\u0131s\u0131n\u0131n \u00e640 fazlas\u0131 ka\u00e7t\u0131r? A) \u00ca130 B) \u00ca140 C) 5\u00e610 A) 100 + 25 = 15 B) 100 - 36 = 8 D) 7\u00e610 C) \u00a79 + \u00e616 = 7 D) 100 + 21 = 11 2. 7. 2\u00a75 + 6\u00a75 \u00e696 \u2013 \u00e624 = a\u00a76 i\u015fleminin sonucu ka\u00e7t\u0131r? oldu\u011funa g\u00f6re a ka\u00e7t\u0131r? A) 5 B) 4 C) 3 A) 12 B) 8\u00e610 C) 8\u00a75 D) 4\u00a75 D) 2 3. 8. 3\u00e613 \u2013 \u00e613 i\u015fleminin sonucu ka\u00e7t\u0131r? (\u00e615 - \u00e611) br A) \u00e613 B) 2\u00e613 C) 3\u00e613 D) 4\u00e613 4. (\u00e615 + \u00e611) br \u00a72 \u00e650 \u00e632 \u00a78 Yukar\u0131da verilen dikd\u00f6rtgen \u015feklindeki kartonun \u00e7evre uzunlu\u011fu ka\u00e7 birimdir? Mor Sar\u0131 Mavi K\u0131rm\u0131z\u0131 A) 4\u00e615 B) 4\u00e611 C) 2\u00e615 + 2\u00e611 D) 5\u00e615 + \u00e611 Yukar\u0131daki toplardan hangi ikisinde yazan say\u0131la- r\u0131n toplam\u0131 7\u00a72\u2019dir? A) Mor ve sar\u0131 B) Sar\u0131 ve mavi C) Sar\u0131 ve k\u0131rm\u0131z\u0131 D) Mor ve k\u0131rm\u0131z\u0131 5. 9. 3\u00a77 \u2013 4\u00a77 \u2013 \u00a77 7\u00a73 + 3\u00a75 \u2013 8\u00a73 + 5\u00a75 i\u015fleminin sonucu ka\u00e7t\u0131r? i\u015fleminin sonucu ka\u00e7t\u0131r? A) \u2013\u00a77 B) \u20132\u00a77 C) \u20133\u00a77 D) \u20134\u00a77 A) 15\u00a73 + 8\u00a75 B) \u2013\u00a73 + 8\u00a75 C) \u2013\u00a73 \u2013 2\u00a75 D) 15\u00a73 \u20132\u00a75 122 8. S\u0131n\u0131f","Test Karek\u00f6kl\u00fc \u0130fadelerle Toplama \u00c7\u0131karma \u0130\u015flemleri Uyguluyorum 27 10. A\u015fa\u011f\u0131da kenar uzunluklar\u0131 birim cinsinden veri- 13. Ayn\u0131 maddelerden yap\u0131lm\u0131\u015f e\u015fit aral\u0131kl\u0131 geometri \u015fe- len \u00e7okgenlerden hangisinin \u00e7evresi di\u011ferlerin- ritleri a\u015fa\u011f\u0131da verilmi\u015ftir. 2\u00e611 cm den farkl\u0131d\u0131r? 2\u00e611 cm A) 2\u00a77 2\u00a77 B) 2\u00a77 \u00e611 cm \u00a77 Buna g\u00f6re bu geometri \u015feritleri u\u00e7 uca eklendi- 4\u00a77 \u011finde ka\u00e7 santimetrelik bir \u015ferit olu\u015fur? 2\u00a77 2\u00a77 A) 5\u00e611 B) 7\u00a711 C) 9\u00a711 D) 11\u00a711 3\u00a77 2\u00a77 C) D) 4\u00a77 2\u00a77 2\u00a77 4\u00a77 2\u00a77 4\u00a77 4\u00a77 11. \u00ca250 + \u00e610 \u2013 x = 0 ve 11\u00e610 + y \u2013 \u00e640 = \u2013\u00e610 14. oldu\u011funa g\u00f6re x + y ka\u00e7t\u0131r? A = \u00a78 + \u00e632 + \u00e698 A) \u20132\u00e610 B) \u20133\u00e610 C) \u20134\u00e610 D) \u20135\u00e610 B = \u00e650 + \u00ca162 + \u00e618 oldu\u011funa g\u00f6re A \u2013 B ka\u00e7t\u0131r? A) 4\u00a72 B) \u00a72 C) \u20134\u00a72 D) \u20136\u00a72 12. 15. \u00ca192 kg\u2019l\u0131k f\u0131nd\u0131k iki farkl\u0131 pakete ayr\u0131lm\u0131\u015ft\u0131r. \u00ca500 Buna g\u00f6re son durumda paketlerin k\u00fctleleri a\u015fa- KL \u011f\u0131dakilerden hangisi olabilir? Yukar\u0131daki say\u0131 do\u011frusunda K ve L noktalar\u0131 aras\u0131n- 1. Paket 2. Paket daki uzakl\u0131k verilmi\u015ftir. A) \u00a73 kg \u00ca167 kg Bu noktalardan biri \u00e645 noktas\u0131nda oldu\u011funa B) \u00e648 kg \u00e627 kg g\u00f6re di\u011fer noktan\u0131n bulundu\u011fu yerin alabilece\u011fi C) \u00ca108 kg \u00a73 kg de\u011ferleri toplam\u0131 ka\u00e7t\u0131r? D) \u00e627 kg \u00e675 kg A) \u00ca245 B) \u00ca180 C) \u00ca125 D) \u00e680 8. S\u0131n\u0131f 123","Uyguluyorum Karek\u00f6kl\u00fc \u0130fadelerle D\u00f6rt \u0130\u015flem Test 5. 28 1. 2 3+4 3 8\u00a72 3 \u00a72 - \u00a78 + \u00e650 i\u015fleminin sonucu ka\u00e7t\u0131r? D) 3\u00a73 A) 2 B) 3 C) 2\u00a73 Yukar\u0131daki tahtada yazan i\u015flemin sonucu ka\u00e7t\u0131r? A) 2\u00a72 B) 2 C) \u20132 D) \u20132\u00a72 2. 6. 128 2\u00a76 + \u00a76 3 2 -2 2 K \u00b7L i\u015fleminin sonucu ka\u00e7t\u0131r? + A) 4 B) 4\u00a72 C) 8 D) 8\u00a72 4\u00a76 3. Yukar\u0131daki i\u015flem \u015femas\u0131na g\u00f6re K + L ka\u00e7t\u0131r? 7 15 + 11 15 A) 18 \u2013 \u00a76 B) 6 \u2013 \u00a76 C) 2\u00a76 D) \u00a76 6 3 -4 3 i\u015fleminin sonucu ka\u00e7t\u0131r? A) 3\u00a75 B) 5\u00a75 C) 7\u00a75 D) 9\u00a75 7. 1 4 38 d 6- 5 9 n\u00b7f p 4 2 i\u015fleminin sonucu ka\u00e7t\u0131r? D) 4 A) 1 B) 2 C) 3 D) 6\u00a75 4. 8. (\u00e680 \u2013 \u00e620)\u00b7\ufffd 125 + 4 5 25 i\u015fleminin sonucu bir do\u011fal say\u0131 oldu\u011funa g\u00f6re \ufffd yerine a\u015fa\u011f\u0131dakilerden hangisi yaz\u0131labilir? i\u015fleminin sonucu ka\u00e7t\u0131r? A) \u00a72 B) \u00a73 C) \u00a75 D) \u00a76 A) 3 B) 3\u00a75 C) 9 124 8. S\u0131n\u0131f","Test Karek\u00f6kl\u00fc \u0130fadelerle D\u00f6rt \u0130\u015flem Uyguluyorum 28 \u00ca243 m 13. Alan\u0131 600 cm2 olan dikd\u00f6rtgen \u015feklindeki bir karto- 9. 3 \u00e648 m nun uzunluklar\u0131 oran\u0131 5 \u2019tir. Buna g\u00f6re bu kartonun \u00e7evresi ka\u00e7 santimetre- dir? A) 16\u00a75 B) 32\u00a75 C) 16\u00a710 D) 32\u00a710 Yukar\u0131da g\u00f6sterilen dikd\u00f6rtgensel bah\u00e7enin etraf\u0131na 14. Yanda g\u00f6sterilen mum 2 s\u0131ra tel \u00e7ekilecektir. yanmaya ba\u015flad\u0131ktan son- ra her bir saatte \u00e620 cm\u2019lik Buna g\u00f6re bu i\u015f i\u00e7in en az ka\u00e7 metre tel gerekir? k\u0131sm\u0131 eriyor. A) 40\u00a73 B) 46\u00a73 C) 52\u00a73 D) 58\u00a73 Buna g\u00f6re 4 saat sonra \u00ca500 cm mumun kalan k\u0131sm\u0131 ka\u00e7 10. santimetre olur? 18 + 7 22 9 11 A) \u00a75 B) \u00a720 C) \u00a745 D) \u00a780 i\u015fleminin sonucu ka\u00e7t\u0131r? A) 6\u00a72 B) 7\u00a72 C) 8\u00a72 D) 9\u00a72 11. 15. Alan\u0131 112 cm2 olan bir kare ile bir be\u015fgenin \u00e7evre 48 + 75 + 108 uzunluklar\u0131 birbirine e\u015fittir. 3+ 3+ 3 Buna g\u00f6re bu be\u015fgen a\u015fa\u011f\u0131dakilerden hangisi olabilir? i\u015fleminin sonucu ka\u00e7t\u0131r? A) 2\u00a77 B) 4\u00a77 \u00a77 2\u00a77 A) 5 B) 5\u00a73 C) 10\u00a73 D) 15 2\u00a77 \u00a77 2\u00a77 2\u00a77 3\u00a77 2\u00a77 C) 12. 4\u00a77 D) 3\u00a77 5\u00a77 \u00a77 2\u00a77 4 3 \u00b7^3 5 + 2 5h 4\u00a77 \u00b7A 3\u00a77 3\u00a77 6 5- 5 i\u015fleminin sonucunun do\u011fal say\u0131 olmas\u0131 i\u00e7in A ye- rine a\u015fa\u011f\u0131dakilerden hangisi yaz\u0131labilir? 3\u00a77 2\u00a77 A) \u00a72 B) \u00a75 C) 1 1 2 D) 3 8. S\u0131n\u0131f 125","Ba\u015far\u0131yorum Karek\u00f6kl\u00fc \u0130fadelerle Toplama \u00c7\u0131karma ve Test \u00c7arpma B\u00f6lme \u0130\u015flemleri 29 1. A\u015fa\u011f\u0131da bir \u00e7ek b\u0131rak araban\u0131n \u00e7ekildi\u011fi k\u0131sm\u0131 ifade eden g\u00f6sterge ve b\u0131rak\u0131ld\u0131ktan sonra gitti\u011fi mesafe g\u00f6sterilmi\u015f- tir. \u0130lk Son Konum Konum 4\u00a72 dm G\u00f6sterge Araban\u0131n g\u00f6stergesindeki yanan \u0131\u015f\u0131k say\u0131s\u0131 ile desimetre cinsinden gitti\u011fi mesafe do\u011fru orant\u0131l\u0131d\u0131r. Buna g\u00f6re bu araban\u0131n \u00e7ekilip b\u0131rak\u0131ld\u0131ktan sonra \u00ca200 dm gitmesi i\u00e7in g\u00f6stergesinin a\u015fa\u011f\u0131dakilerden han- gisi gibi olmas\u0131 gerekir? A) B) C) D) 2. A\u015fa\u011f\u0131da toplam k\u00fctleleri verilen \u00f6zde\u015f kahve \u00f6l\u00e7ekleri e\u015f b\u00f6lmelerden olu\u015fmaktad\u0131r. 13\u00a72 g 27\u00a72 g D) \u00e698 Buna g\u00f6re kahve \u00f6l\u00e7eklerinden birinin bo\u015f k\u00fctlesi ka\u00e7 gramd\u0131r? A) \u00e632 B) \u00e650 C) \u00e672 126 8. S\u0131n\u0131f","Test Karek\u00f6kl\u00fc \u0130fadelerle Toplama \u00c7\u0131karma ve Ba\u015far\u0131yorum 29 \u00c7arpma B\u00f6lme \u0130\u015flemleri 3. 1 km=1000 m Bir belediye bir caddeye a\u015fa\u011f\u0131daki gibi kar\u015f\u0131l\u0131kl\u0131 olarak \u00e7\u00f6p kutular\u0131 yerle\u015ftirecektir. Yerle\u015ftirilen ilk \u00e7\u00f6p kutular\u0131n\u0131n ba\u015flang\u0131\u00e7 noktalar\u0131na uzakl\u0131klar\u0131 \u015fekilde verilmi\u015ftir. Ba\u015flang\u0131\u00e7 50m Noktas\u0131 Ba\u015flang\u0131\u00e7 100m Noktas\u0131 2. kutudan itibaren her k\u0131rm\u0131z\u0131 \u00e7\u00f6p kutusunun ba\u015flang\u0131\u00e7 noktas\u0131na uzakl\u0131\u011f\u0131 bir \u00f6nceki \u00e7\u00f6p kutusunun ba\u015flang\u0131\u00e7 noktas\u0131na uzakl\u0131\u011f\u0131n\u0131n \u00a72 kat\u0131, ye\u015fil kutular\u0131nki ise \u00a73 kat\u0131d\u0131r. Bu caddenin uzunlu\u011fu 1 km oldu\u011funa g\u00f6re yerle\u015ftirilen k\u0131rm\u0131z\u0131 \u00e7\u00f6p kutusu say\u0131s\u0131 ye\u015fil \u00e7\u00f6p kutusu say\u0131s\u0131n- dan ka\u00e7 fazlad\u0131r? A) 3 B) 4 C) 5 D) 6 4. A\u015fa\u011f\u0131da bir kulenin i\u00e7indeki asans\u00f6r\u00fcn belirli bir anda alt k\u0131sm\u0131n\u0131n y\u00fcksekli\u011fi ile \u00fcst k\u0131sm\u0131n\u0131n kulenin tepesine uzakl\u0131\u011f\u0131 verilmi\u015ftir. Asans\u00f6r bu durumdayken \u00a75 m yukar\u0131 \u00e7\u0131k\u0131yor. Buna g\u00f6re son durumda asans\u00f6r\u00fcn alt k\u0131sm\u0131n\u0131n y\u00fcksekli\u011finin \u00fcst k\u0131sm\u0131n\u0131n kulenin tepesine olan uzakl\u0131\u011f\u0131na oran\u0131 ka\u00e7t\u0131r? A) 4 5 \u00ca320 m 7 B) 6 \u00e645 m C) 1 8 127 D) 3 Zemin 8. S\u0131n\u0131f","Ba\u015far\u0131yorum Karek\u00f6kl\u00fc ifadelerle Toplama \u00c7\u0131karma ve Test \u00c7arpma B\u00f6lme i\u015flemleri 30 1. Erkan 10 br\u2019lik bir cetvelde 0, 1, 2, 3 \u2026 10 say\u0131lar\u0131n\u0131 silerek yerlerine \u00a70, \u00a71, \u00a72, \u00a73\u2026\u00a710 \u015feklinde t\u00fcm say\u0131lar\u0131 s\u0131ra- s\u0131yla yaz\u0131yor. 0 1 2 3 4 5 6 7 8 9 10 \u00a70 \u00a71 \u00a72 \u00a73 \u00a74 \u00a75 \u00a76 \u00a77 \u00a78 \u00a79 \u00e610 Erkan daha sonra dikd\u00f6rtgen bi\u00e7imindeki bir afi\u015fin uzun kenar uzunlu\u011funu yeni cetvel ile a\u015fa\u011f\u0131daki gibi \u00f6l\u00e7\u00fcyor. Ard\u0131ndan k\u0131sa kenar\u0131 da benzer \u015fekilde \u00f6l\u00e7erek afi\u015fin \u00f6n y\u00fcz\u00fcn\u00fcn alan\u0131n\u0131 4\u00a73 br2 olarak hesapl\u0131yor. \u00a70 \u00a71 \u00a72 \u00a73 \u00a74 \u00a75 \u00a76 \u00a77 \u00a78 \u00a79 \u00e610 D\u00dcNYA ENGELL\u0130LER G\u00dcN\u00dc 3 ARALIK Buna g\u00f6re afi\u015fin ger\u00e7ek \u00e7evre uzunlu\u011fu ka\u00e7 birimdir? A) 28 B) 26 C) 24 D) 22 2. \u00c7evre uzunlu\u011fu 1440 cm olan d\u00fczg\u00fcn alt\u0131gen \u015feklindeki levhan\u0131n bir k\u00f6\u015fesine \u015eekil 1\u2019deki gibi bir ip ba\u011flanm\u0131\u015ft\u0131r. \u015eekil 1 \u015eekil 2 Bu ip levhan\u0131n kenarlar\u0131 boyunca ok y\u00f6n\u00fcnde gerilerek sar\u0131l\u0131yor ve ipin ucu \u015eekil 2\u2019deki konumda oluyor. Buna g\u00f6re bu ipin santimetre cinsinden uzunlu\u011fu a\u015fa\u011f\u0131dakilerden hangisi olabilir? A) 20 B) 25 C) 30 D) 35 128 8. S\u0131n\u0131f","Test Karek\u00f6kl\u00fc ifadelerle Toplama \u00c7\u0131karma ve Ba\u015far\u0131yorum 30 \u00c7arpma B\u00f6lme i\u015flemleri 3. a, b, c, d birer do\u011fal say\u0131 olmak \u00fczere; a b = a2 \u00b7b , a b + c b = ^a + ch b, a b - c b = ^a - ch b \u2019dir. Do\u011frusal bir ko\u015fu parkuru \u00fczerinde bulunan \u00fc\u00e7 ko\u015fucudan A noktas\u0131ndakinin ba\u015flang\u0131\u00e7 \u00e7izgisine uzakl\u0131\u011f\u0131 \u00e675 m, B noktas\u0131ndakinin biti\u015f \u00e7izgisine uzakl\u0131\u011f\u0131 \u00e648 m\u2019dir. C noktas\u0131nda bulunan ko\u015fucu, A ile B noktalar\u0131 aras\u0131nda olup B noktas\u0131na daha yak\u0131nd\u0131r. B AC Ba\u015flang\u0131\u00e7 Biti\u015f Parkurun uzunlu\u011fu \u00ca363 metre oldu\u011funa g\u00f6re, C noktas\u0131n\u0131n biti\u015f \u00e7izgisine uzakl\u0131\u011f\u0131 metre cinsinden a\u015fa\u011f\u0131- dakilerden hangisi olabilir? A) 4\u00a72 B) 3\u00a75 C) 3\u00a77 D) 6\u00a73 4. A\u015fa\u011f\u0131da \u00e654 cm geni\u015fli\u011finde \u00f6n y\u00fcz\u00fc mor arka y\u00fcz\u00fc 5. a, b, c birer do\u011fal say\u0131 olmak \u00fczere, sar\u0131 renkli bir karton verilmi\u015ftir. Bu karton kesikli \u00e7iz- gi boyunca kenarlar\u0131n\u0131n bir k\u0131sm\u0131 \u00e7ak\u0131\u015facak bi\u00e7imde a b = a2 \u00b7b , a b + c b = ^a + ch b \u2019dir. kendi \u00fczerine katlan\u0131yor. A\u015fa\u011f\u0131daki \u015fekilde birbirine paralel olan A ile B yollar\u0131 ve bu yollar aras\u0131nda kalan kare bi\u00e7imindeki araziler verilmi\u015ftir. Bu \u00fc\u00e7 arazinin alanlar\u0131 \u015fekilde g\u00f6steril- mi\u015ftir. \u00e654 cm A YOLU B YOLU 18 hm2 50 hm2 72 hm2 Son durumda g\u00f6r\u00fcnen mor b\u00f6lge kare \u015feklinde olup alan\u0131 sar\u0131 b\u00f6lgenin alan\u0131n\u0131n 3 kat\u0131na e\u015fittir. Buna g\u00f6re ba\u015flang\u0131\u00e7taki k\u00e2\u011f\u0131d\u0131n \u00f6n y\u00fcz\u00fcn\u00fcn ala- A ve B yollar\u0131 aras\u0131ndaki ba\u011flant\u0131y\u0131 sa\u011flayacak bir yol yap\u0131lmas\u0131 planlanmaktad\u0131r. n\u0131 ka\u00e7 santimetrekaredir? Yap\u0131labilecek en k\u0131sa yolun hektametre cinsinden uzunlu\u011funa en yak\u0131n do\u011fal say\u0131 a\u015fa\u011f\u0131dakilerden A) 150 B) 120 C) 105 D) 90 hangisidir? A) 17 B) 18 C) 19 D) 20 8. S\u0131n\u0131f 129","Ba\u015far\u0131yorum Karek\u00f6kl\u00fc ifadelerle Toplama \u00c7\u0131karma ve Test \u00c7arpma B\u00f6lme i\u015flemleri 30 6. Dikd\u00f6rtgen \u015feklindeki bir k\u00e2\u011f\u0131t, a\u015fa\u011f\u0131daki gibi kesilerek yine dikd\u00f6rtgen \u015feklinde be\u015f e\u015f par\u00e7a elde edilmi\u015ftir. \u015eekil 1 \u015eekil 2 Bu par\u00e7alar\u0131n kenar uzunluklar\u0131 \u00e7ak\u0131\u015ft\u0131r\u0131larak \u015eekil 1 ve \u015eekil 2\u2019deki gibi iki farkl\u0131 \u015fekil olu\u015fturulmu\u015ftur. \u015eekil 1\u2019in \u00e7evresinin uzunlu\u011fu 52\u00a73 cm ve \u015eekil 2\u2019nin y\u00fcksekli\u011fi \u00ca300 cm\u2019dir. Buna g\u00f6re, ba\u015flang\u0131\u00e7ta verilen dikd\u00f6rtgen \u015feklindeki k\u00e2\u011f\u0131d\u0131n bir y\u00fcz\u00fcn\u00fcn alan\u0131 ka\u00e7 cm2\u2019dir? A) 120 B) 240 C) 360 D) 480 7. Alan\u0131 108 cm2 olan kare, alanlar\u0131 birbirine e\u015fit \u00fc\u00e7 dik- 8. A\u015fa\u011f\u0131da verilen dikd\u00f6rtgen \u015feklindeki bir zemine d\u00f6rtgensel b\u00f6lgeye a\u015fa\u011f\u0131daki gibi ayr\u0131lm\u0131\u015ft\u0131r. parke d\u00f6\u015fenmektedir. Zeminde d\u00f6\u015feli dikd\u00f6rtgen bi- \u00e7iminde \u00fc\u00e7 \u00f6zde\u015f parke ile ilgili baz\u0131 \u00f6l\u00e7\u00fcler \u015fekilde Buna g\u00f6re ye\u015fil dikd\u00f6rtgensel b\u00f6lgenin \u00e7evresi- verilmi\u015ftir. nin uzunlu\u011fu cm cinsinden a\u015fa\u011f\u0131dakilerden han- gisidir? \u00ca192 dm A) 10\u00a73 B) 12\u00a73 C) 14\u00a73 D) 16\u00a73 Parke Parke \u00e612 dm \u00a73 dm Parke Buna g\u00f6re, parke d\u00f6\u015fenmemi\u015f b\u00f6lgelerin alanlar\u0131 toplam\u0131 ka\u00e7 desimetrekaredir? A) 76 B) 92 C) 96 D) 126 130 8. S\u0131n\u0131f","Test Karek\u00f6kl\u00fc ifadelerle Toplama \u00c7\u0131karma ve Ba\u015far\u0131yorum 30 \u00c7arpma B\u00f6lme i\u015flemleri 9. A\u015fa\u011f\u0131da e\u015f dikd\u00f6rtgensel b\u00f6lgelerden olu\u015fan bir oyun parkuru verilmi\u015ftir. 0 1 m 2 m 3 m 4 m 5 m 6 m 7 m 8 m 9 m 10 m 11 m 12 m Ba\u015flang\u0131\u00e7 \u00e7izgisi T\u00fcrker, sar\u0131 ve mavi b\u00f6lgelerden birer nokta i\u015faretlemi\u015ftir. Bu noktalar\u0131n ba\u015flang\u0131\u00e7 \u00e7izgisine olan uzakl\u0131klar\u0131; toplam\u0131 \u00ca245 m, fark\u0131 ise \u00e645 m olmu\u015ftur. Buna g\u00f6re, bu noktalar\u0131n ba\u015flang\u0131\u00e7 \u00e7izgisine metre cinsinden uzakl\u0131klar\u0131 \u00e7arp\u0131m\u0131 a\u015fa\u011f\u0131daki say\u0131lardan han- gisine e\u015fittir? A) 50 B) 60 C) 70 D) 80 10. A\u015fa\u011f\u0131da \u015eekil 1\u2019de verilen borulardan iki tanesi bir- 11. A\u015fa\u011f\u0131daki dikd\u00f6rtgen \u015feklinde bir pano ve bu panoya le\u015ftiril\u011finde uzunluklar\u0131n\u0131n %12,5 kadarl\u0131k k\u0131s\u0131mlar\u0131 as\u0131lan kare \u015feklindeki 4 karton verilmi\u015ftir. \u015eekil 2\u2019deki gibi i\u00e7 i\u00e7e ge\u00e7mektedir. Uzun kenar \u015eekil 1 \u00e632 dm2 \u00e672 dm2 K\u0131sa kenar 45\u00a73 cm \u00e650 dm2 \u00e698 dm2 \u0130\u00e7 i\u00e7e ge\u00e7en k\u0131s\u0131m \u00a72 dm \u00a72 dm \u015eekil 2 Panonun \u00e7evresinin kal\u0131nl\u0131\u011f\u0131 ve kartonun alanlar\u0131 \u015fe- Kerem, \u015eekil 2\u2019deki borunun sol ucundan borunun kil \u00fczerinde verilmi\u015ftir. 1 Buna g\u00f6re bu panonun uzun kenar\u0131n\u0131n uzunlu\u011fu- uzunlu\u011funun 5 \u2019i kadarl\u0131k par\u00e7as\u0131n\u0131, sa\u011f ucundan na dm cinsinden en yak\u0131n do\u011fal say\u0131 a\u015fa\u011f\u0131daki- ise kalan par\u00e7an\u0131n %25 kadarl\u0131k k\u0131sm\u0131n\u0131 keserek elde etti\u011fi par\u00e7alar\u0131 \u015eekil 1\u2019deki borunun u\u00e7lar\u0131na, lerden hangisidir? uzunluk kayb\u0131 olmadan ve aralar\u0131nda bo\u015fluk b\u0131rak- madan ekliyor. A) 32 B) 33 C) 34 D) 35 Buna g\u00f6re, son durumda \u015eekil 1\u2019deki borunun uzunlu\u011fu ka\u00e7 cm olur? A) 39\u00a73 B) 42\u00a73 C) 45\u00a73 D) 48\u00a73 8. S\u0131n\u0131f 131","Ondal\u0131k \u0130fadelerin Karek\u00f6k\u00fc Ondal\u0131k ifadelerin karek\u00f6kleri belirlenirken, 1. Ondal\u0131k ifade rasyonel say\u0131 olarak yaz\u0131l\u0131r. 2. Pay\u0131n ve paydan\u0131n karek\u00f6kleri bulunur. 3. Bulunan rasyonel say\u0131 ondal\u0131k g\u00f6sterim ile ifade edilir. \u00d6rnek: \u2022 0, 49 = 49 = 7 = 0, 7 \u2022 0, 04 = 4 = 2 = 0, 2 100 10 100 10 31 2. A\u015fa\u011f\u0131daki i\u015flemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. a) 0, 64 + 1, 44 = .............................................. 1. A\u015fa\u011f\u0131daki karek\u00f6kl\u00fc ifadelerin de\u011ferlerini bulu- nuz. a) 0, 01 =............................................................ b) 0, 09 = ........................................................... b) 1, 69 - 0, 16 = ............................................... c) 0, 36 = ........................................................... c) - 3, 61 - ^- 5, 76 h = ........................................ \u00e7) 0, 81 =............................................................ d) 1, 96 = ............................................................ \u00e7) 0, 49 \u00b7 4, 41 =............................................... e) 2, 56 =............................................................ d) 2, 25 : 0, 25 = ............................................... f) 6, 25 =............................................................ e) 2, 89 - 0, 64 = ............................................ g) 0, 0144 = ........................................................ 0, 09 132 8. S\u0131n\u0131f","Ondal\u0131k \u0130fadelerin Karek\u00f6k\u00fc 3. A\u015fa\u011f\u0131da alanlar\u0131 birimkare cinsinden verilen ka- 5. A\u015fa\u011f\u0131da verilen \u015fekillerin \u00e7evre uzunluklar\u0131n\u0131 bu- resel b\u00f6lgelerin \u00e7evrelerini bulunuz. lunuz. a) b) a) b) \u00ca0,25 dm 0,09 br2 0,36 br2 \u00ca0,49 dm \u00ca2,25 dm 1 dm \u00c7evre = \u00c7evre = \u00ca0,64 dm 2 dm c) \u00e7) \u00c7evre = \u00c7evre = c) \u00e7) 0,81 br2 1,21 br2 \u00ca1,44 dm \u00c7evre = \u00c7evre = \u00ca1,96 dm \u00ca0,01 dm d) e) \u00c7evre = \u00c7evre = 1,69 br2 2,89 br2 \u00c7evre = 6. A\u015fa\u011f\u0131daki i\u015flemlerin sonu\u00e7lar\u0131n\u0131 bulunuz. a) 2, 7 - _ 0, 1 - 0, 4 i = \u00c7evre = 4. A\u015fa\u011f\u0131da kenar uzunluklar\u0131 verilen dikd\u00f6rtgensel b\u00f6lgelerin alanlar\u0131n\u0131 bulunuz. Kenar Uzunluklar\u0131 Alan b) _ 3, 9 + 5, 4 i\u00b7 1, 7 = a) 0, 25 cm ve 0, 04 cm .......... b) 3, 24 cm ve 0, 16 cm .......... c) 7 0, 0001 + 0, 04 = c) 0, 81 cm ve 1, 96 cm .......... \u00e7) 8 \u00b7 0, 2 = 4, 9 8. S\u0131n\u0131f 133","Uyguluyorum Ondal\u0131k \u0130fadelerin Karek\u00f6k\u00fc Test 31 1. 5. 0, 49 say\u0131s\u0131 i\u00e7in a\u015fa\u011f\u0131dakilerden hangisi do\u011fru- 0, 01 + 0, 25 dur? i\u015fleminin sonucu ka\u00e7t\u0131r? A) 1 ile 2 aras\u0131ndad\u0131r. B) 2 kat\u0131 do\u011fal say\u0131d\u0131r. A) 0,7 B) 0,6 C) 0,07 D) 0,06 C) 3 say\u0131s\u0131ndan 1,3 eksiktir. D) 0,1 fazlas\u0131 0,8\u2019e e\u015fittir. 2. 6. 0, 0081 0, 16 + x = 1 ifadesi a\u015fa\u011f\u0131dakilerden hangisine e\u015fittir? A) 0,009 B) 0,09 C) 0,9 D) 9 oldu\u011funa g\u00f6re x a\u015fa\u011f\u0131dakilerden hangisine e\u015fit- tir? A) 0,6 B) 0,7 C) 0,8 D) 0,9 3. 7. A\u015fa\u011f\u0131dakilerden hangisi en b\u00fcy\u00fckt\u00fcr? \u00ca0,04 m \u00ca1,44 m A) 6 0, 81 B) 5 1, 21 C) 4 1, 44 D) 3 1, 96 Yukar\u0131da boy uzunluklar\u0131 verilen \u00f6\u011frencilerin boy 8. uzunluklar\u0131 toplam\u0131 ka\u00e7 metredir? A) 2,6 B) 2,4 C) 1,8 D) 1,4 2,25 m2 \u00ca1,44 m 2m ? 4. Yukar\u0131da alan\u0131 verilen karesel b\u00f6lge ile \u00fc\u00e7genin \u00e7ev- 3, 24 : 0, 36 + 1, 21 re uzunluklar\u0131 birbirine e\u015fittir. i\u015fleminin sonucu ka\u00e7t\u0131r? Buna g\u00f6re \u00fc\u00e7geni verilmeyen kenar\u0131n\u0131n uzunlu\u011fu ka\u00e7 metredir? A) 2,7 B) 4,1 C) 4,5 D) 4,9 A) 1,8 B) 2,2 C) 2,4 D) 2,8 134 8. S\u0131n\u0131f","Test Ondal\u0131k \u0130fadelerin Karek\u00f6k\u00fc Uyguluyorum 31 9. 13. A = 0, 01 1,92 m2 B = 2, 56 C = 0, 49 B\u00b7C Yukar\u0131da alan\u0131 verilen dairesel b\u00f6lgenin \u00e7ap\u0131 ka\u00e7 oldu\u011funa g\u00f6re A ka\u00e7t\u0131r? metredir? (\u220f yerine 3 al\u0131n\u0131z.) A) 0,8 B) 1,2 C) 1,6 D) 2,4 A) 9,6 B) 11,2 C) 15,8 D) 17,2 10. Alan\u0131 6,76 cm2 olan karenin bir kenar uzunlu\u011fu 14. A\u015fa\u011f\u0131da bir ko\u015fu yar\u0131\u015f\u0131na kat\u0131lan ko\u015fucular\u0131n yar\u0131\u015f\u0131 ile alan\u0131 4,84 cm2 olan bir karenin \u00e7evre uzunlu\u011fu bitirme s\u00fcreleri verilmi\u015ftir. toplam\u0131 ka\u00e7 santimetredir? A) 11,4 B) 11,8 C) 12,2 D) 12,6 Ko\u015fucu S\u00fcre (dk) Adem 0, 81 + 1, 96 Bar\u0131\u015f 4, 41 - 1, 44 11. Cem 1, 21 + 2, 56 1-1 0, 64 0, 04 Deniz 6, 25 - 2, 25 i\u015fleminin sonucu ka\u00e7t\u0131r? Buna g\u00f6re 1. olan ko\u015fucu kimdir? A) Adem B) Bar\u0131\u015f C) Cem D) Deniz 15 15 15 15 A) - 2 B) - 4 C) 4 D) 2 12. A\u015fa\u011f\u0131daki e\u015fitliklerin hangisinde \ufffd yerine yaz\u0131l- 15. a ve b pozitif tam say\u0131lard\u0131r. mas\u0131 gereken say\u0131 en fazlad\u0131r? A) 2 0, 25 + Y = 3 a\u00b7 0, 16 = b oldu\u011funa g\u00f6re a + b toplam\u0131n\u0131n en B) 3 0, 36 - Y = 0, 8 k\u00fc\u00e7\u00fck de\u011feri ka\u00e7t\u0131r? C) 4 0, 49 + Y = 4 A) 6 B) 7 C) 8 D) 9 D) 5 0, 64 - Y = 2, 5 8. S\u0131n\u0131f 135","Ger\u00e7ek Say\u0131lar a b, s\u0131f\u0131rdan farkl\u0131 bir tam say\u0131 olmak \u00fczere iki tam say\u0131n\u0131n oran\u0131 b b l \u015feklinde yaz\u0131labilen say\u0131lara rasyonel say\u0131lar, yaz\u0131lamayanlara ise irrasyonel say\u0131lar denir. Rasyonel say\u0131lar Q, irrasyonel say\u0131lar I sembol\u00fc ile g\u00f6sterilir. Rasyonel ve irrasyonel say\u0131lar\u0131n birle\u015fmesiyle olu\u015fan say\u0131lara ger\u00e7ek say\u0131lar denir ve R ile g\u00f6sterilir. \u00d6rnek: \u2022 6, \u20133, 2 , 0,8 ve \u00e681 gibi say\u0131lar rasyonel say\u0131lard\u0131r. 7 \u2022 \u00e632 gibi tam kare olmayan say\u0131lar\u0131n karek\u00f6k\u00fc irrasyonel say\u0131d\u0131r. \u2022 1, 632814..., \u220f gibi devir k\u0131sm\u0131 d\u00fczensiz ondal\u0131k g\u00f6sterimler irrasyonel say\u0131d\u0131r. NOT: Devirli ondal\u0131k g\u00f6sterimler a \u015feklinde yaz\u0131labildi\u011fi i\u00e7in rasyonel say\u0131d\u0131r. b Hat\u0131rlatma: Devirli ondal\u0131k g\u00f6sterim rasyonel say\u0131ya \u00e7evrilirken say\u0131n\u0131n tamam\u0131ndan devretmeyen k\u0131- s\u0131m \u00e7\u0131kar\u0131l\u0131p paya yaz\u0131l\u0131r. Ondal\u0131k k\u0131s\u0131mdaki devreden basamak say\u0131s\u0131 kadar 9, devretmeyen basamak say\u0131s\u0131 kadar 0 (s\u0131f\u0131r) paydaya yaz\u0131l\u0131r. \u2022 1, 3 = 13 - 1 = 12 \u2022 3, 47 = 347 - 34 = 313 9 9 90 90 32 NOT: Do\u011fal say\u0131lar N, tam say\u0131lar Z harfi ile g\u00f6sterilmektedir. 1. A\u015fa\u011f\u0131daki say\u0131lardan rasyonel say\u0131 olanlar\u0131n ya- n\u0131na Q, irrasyonel say\u0131 olanlar\u0131n yan\u0131na I yaz\u0131n\u0131z. 2. \u2022 \u00e651 \u2022 1,72# \u2022\u20138 a) \u201315 \u00a1..................... b) \u00e649 \u00a1...................... c) 3 \u00a1......................... \u00e7) \u00e612 \u00a1 ...................... \u20220 \u2022 ^- 3h2 1 \u2022\u220f d) 2,61 \u00a1 .................... e) \u220f \u00a1.......................... \u2022 f) 0,6 \u00a1...................... g) 5,15248 \u00a1 ............... \u011f) - 400 \u00a1 ............... h) 3,14 \u00a1 ..................... 102 Yukar\u0131daki say\u0131lar\u0131 a\u015fa\u011f\u0131da uygun k\u00fcmelere ya- z\u0131n\u0131z. QI Z N \u0131) 2, 7 \u00a1 ................. i) 99 \u00a1 ............... 169 R 136 8. S\u0131n\u0131f","Ger\u00e7ek Say\u0131lar 3. A\u015fa\u011f\u0131daki ifadelerden do\u011fru olanlar\u0131n ba\u015f\u0131na \u201cD\u201d, 4. A\u015fa\u011f\u0131daki i\u015flemlerin sonu\u00e7lar\u0131ndan rasyonel say\u0131 yanl\u0131\u015f olanlar\u0131n ba\u015f\u0131na \u201cY\u201d yaz\u0131n\u0131z. olanlar\u0131 belirleyiniz. a) (......) Her ondal\u0131k g\u00f6sterim bir rasyonel say\u0131d\u0131r. b) (......) \u0130ki rasyonel say\u0131 aras\u0131nda daima bir tam a) 100 - 64 =............ b) 25 - 4 = ................ say\u0131 vard\u0131r. c) (......) Her tam say\u0131 bir do\u011fal say\u0131d\u0131r. c) 9\u00b716 = ................ \u00e7) 0,5# + 1,1# = ................ \u00e7) (......) Ger\u00e7ek say\u0131lar say\u0131 do\u011frusunu tam ola- rak doldurur. d) 2\u00b72\u00a78 =.................. e) - 13 + 12 =............. d) (......) Her rasyonel say\u0131n\u0131n bir ondal\u0131k g\u00f6steri- f) \u00e696 + \u00a74 =.............. g) 1+1 =.............. mi vard\u0131r. 49 e) (......) Ger\u00e7ek say\u0131lar k\u00fcmesinde olmayan say\u0131- lar da vard\u0131r. 5. A\u015fa\u011f\u0131daki tabloda uygun say\u0131 k\u00fcmesine ait kutucu\u011fa \u201c\ufffd\u201d i\u015fareti koyunuz. 1,13\u00b5 6\u20132 \u2013\u00e630 6 0 3\u220f 72 \u00ca256 Do\u011fal Say\u0131 Tam Say\u0131 Rasyonel Say\u0131 \u0130rrasyonel Say\u0131 Ger\u00e7ek Say\u0131 NOT: \u0130rrasyonel say\u0131lar\u0131n ve rasyonel say\u0131lar\u0131n birle\u015fimi ger\u00e7ek say\u0131lar\u0131 olu\u015fturur ancak ger\u00e7ek say\u0131lar k\u00fcmesinde olmayan say\u0131lar da bulunmaktad\u0131r. \u00d6rne\u011fin; 7 , - 6 , -36 , -15 gibi. 0 0 8. S\u0131n\u0131f 137","Uyguluyorum Ger\u00e7ek Say\u0131lar Test 32 1. A\u015fa\u011f\u0131dakilerden hangisi rasyonel say\u0131d\u0131r? 5. \u00e632 say\u0131s\u0131 a\u015fa\u011f\u0131dakilerden hangisi ile \u00e7arp\u0131l\u0131rsa sonu\u00e7 rasyonel say\u0131 olur? A) \u00e633 B) \u00e627 C) \u00e620 D) \u00e616 A) \u00a73 B) \u00e615 C) \u00e618 D) \u00e625 2. A\u015fa\u011f\u0131dakilerden hangisi irrasyonel say\u0131d\u0131r? 6. A\u015fa\u011f\u0131da alan\u0131 verilen karesel b\u00f6lgelerden hangi- sinin \u00e7evre uzunlu\u011fu irrasyonel say\u0131d\u0131r? A) 2,5 B) 1,86743... A) B) C) 1,7# D) 0,33333... 451 484 C) D) 576 625 3. I. Her tam say\u0131 bir rasyonel say\u0131d\u0131r. II. Her ger\u00e7ek say\u0131 bir irrasyonel say\u0131d\u0131r. III. Her do\u011fal say\u0131 bir tam say\u0131d\u0131r. Yukar\u0131daki ifadelerden hangileri do\u011frudur? A) Yaln\u0131z I B) I ve II C) I ve III D) II ve III 7. \u20137\u20133 say\u0131s\u0131 a\u015fa\u011f\u0131daki k\u00fcmelerden hangisine ait- tir? 4. \u00e6m say\u0131s\u0131 bir irrasyonel say\u0131 ise m say\u0131s\u0131 a\u015fa\u011f\u0131- A) Do\u011fal say\u0131 B) Tam say\u0131 dakilerden hangisi olamaz? C) Rasyonel say\u0131 D) \u0130rrasyonel say\u0131 A) 440 B) 356 C) 289 D) 215 138 8. S\u0131n\u0131f","Test Ger\u00e7ek Say\u0131lar Uyguluyorum 32 8. 1, ab say\u0131s\u0131 bir rasyonel say\u0131d\u0131r. 11. a = \u00a75 ve b = \u00ca125 olmak \u00fczere a\u015fa\u011f\u0131dakilerden Buna g\u00f6re a + b a\u015fa\u011f\u0131dakilerden hangisi olamaz? hangisinin sonucu irrasyonel say\u0131d\u0131r? A) 3 B) 8 C) 12 D) 15 A) a\u00b7b B) a2 b D) b \u2013 a C) a 9. 12. A\u015fa\u011f\u0131daki say\u0131lardan hangisi iki tam say\u0131n\u0131n ora- n\u0131 \u015feklinde yaz\u0131lamaz? 1 \u00e616 0 \u220f A) 0,7 B) \u20133\u00a72 C) 0, 09 D) \u20132,4 33 17 \u00e626 3,7# 10 -96 0 Yukar\u0131daki tahtada yaz\u0131lan say\u0131lar\u0131n her biri ayr\u0131 ayr\u0131 13. ka\u011f\u0131tlara yaz\u0131l\u0131yor. ^ 6 h3 Bu say\u0131lardan rasyonel say\u0131 olanlar A kutusuna, ir- say\u0131s\u0131 a\u015fa\u011f\u0131dakilerden hangisine b\u00f6l\u00fcn\u00fcrse so- rasyonel say\u0131 olanlar B kutusuna at\u0131l\u0131yor. nu\u00e7 irrasyonel say\u0131 olur? Buna g\u00f6re A kutusuna at\u0131lan ka\u011f\u0131t say\u0131s\u0131, B kutu- suna at\u0131lan ka\u011f\u0131t say\u0131s\u0131ndan ka\u00e7 fazlad\u0131r? A) 1 B) 2 C) 3 D) 4 A) 6 B) \u00a76 C) 2\u00a76 D) \u00e624 10. 144 - 28 + Y i\u015fleminin sonucu bir rasyonel say\u0131- 14. 150 - x say\u0131s\u0131 bir rasyonel say\u0131 oldu\u011funa g\u00f6re x d\u0131r. yerine a\u015fa\u011f\u0131dakilerden hangisi getirilemez? Buna g\u00f6re \ufffd a\u015fa\u011f\u0131dakilerden hangisi olabilir? A) \u20132\u00a77 B) \u2013\u00a77 C) \u00a77 D) 2\u00a77 A) 29 B) 6 C) \u201319 D) \u201340 8. S\u0131n\u0131f 139","Ba\u015far\u0131yorum Ondal\u0131k \u0130fadelerin Karek\u00f6k\u00fc - Ger\u00e7ek Say\u0131lar Test 33 1. A\u015fa\u011f\u0131da \u015eekil 1\u2019de verilen dikd\u00f6rtgen bi\u00e7imindeki karton e\u015f par\u00e7alara ayr\u0131l\u0131p her bir par\u00e7as\u0131na bir say\u0131 yaz\u0131l\u0131yor. \u00a71 \u00a76 \u00e612 \u00e618 \u00e625 \u00e630 \u00e645 \u00e654 \u00e681 \u00e699 \u00ca124 \u00ca169 \u015eekil 2 \u015eekil 1 Daha sonra bu kartondan \u015eekil 2\u2019de g\u00f6sterilen dikd\u00f6rtgen par\u00e7a y\u00f6n\u00fc ve duru\u015fu de\u011fi\u015ftirilmeden kesilerek \u00fczerin- deki say\u0131lar siliniyor. Buna g\u00f6re kesilen bu par\u00e7a \u00fczerinde silinen say\u0131lardan rasyonel olanlar\u0131n toplam\u0131 en fazla ka\u00e7t\u0131r? A) 18 B) 21 C) 24 D) 27 2. A\u015fa\u011f\u0131daki pervanenin g\u00f6vdesinde ve yapraklar\u0131nda birer say\u0131 yaz\u0131l\u0131d\u0131r. \u00e624 \u00e640 \u00e627 \u00e612 \u00e648 \u00e672 Bu pervanenin g\u00f6vdesinde yaz\u0131l\u0131 olan say\u0131, yapraktaki say\u0131lar\u0131n her biri ile ayr\u0131 ayr\u0131 \u00e7arp\u0131l\u0131yor. Ard\u0131ndan bulunan \u00e7arp\u0131m irrasyonel say\u0131 ise o yaprak kopar\u0131larak at\u0131l\u0131yor. Buna g\u00f6re son durumda pervanenin g\u00f6r\u00fcn\u00fcm\u00fc a\u015fa\u011f\u0131dakilerden hangisi olur? A) B) C) D) 140 8. S\u0131n\u0131f","Test Ondal\u0131k \u0130fadelerin Karek\u00f6k\u00fc - Ger\u00e7ek Say\u0131lar Ba\u015far\u0131yorum 33 3. A\u015fa\u011f\u0131da g\u00f6sterilen panoya kendi i\u00e7lerinde \u00f6zde\u015f olan k\u0131rm\u0131z\u0131 ve mavi kartonlar ayr\u0131 ayr\u0131 yerle\u015ftirilmi\u015ftir. \u00ca0,16 m \u00ca0,09 m Yerle\u015ftirme yap\u0131l\u0131rken kartonlar panonun sol kenar\u0131 ile hizalanm\u0131\u015f ve aralar\u0131nda hi\u00e7 bo\u015fluk kalmam\u0131\u015ft\u0131r. Ayr\u0131ca 10. k\u0131rm\u0131z\u0131 karton yerle\u015ftirildi\u011fine panoda bir miktar bo\u015fluk kalm\u0131\u015f, 14. mavi karton yerle\u015ftirildi\u011finde ise panodan bir miktar ta\u015fm\u0131\u015ft\u0131r. Kartonlar\u0131n kenarlar\u0131, panonun kenarlar\u0131na paralel oldu\u011funa g\u00f6re bu panonun uzunlu\u011fu metre cinsinden a\u015fa\u011f\u0131dakilerden hangisi olabilir? A) \u00e615 B) \u00e617 C) 2\u00a75 D) 2\u00a76 4. A\u015fa\u011f\u0131daki say\u0131 do\u011frusuna bir kenar\u0131 \u00e7ak\u0131\u015facak bi\u00e7imde yerle\u015ftirilen be\u015fgen \u015feklindeki levhan\u0131n A ve E k\u00f6\u015feleri belirtilen noktalara kar\u015f\u0131l\u0131k gelmektedir. Say\u0131 do\u011frusunda ard\u0131\u015f\u0131k iki tam say\u0131 aras\u0131 uzakl\u0131k 1 cm\u2019dir. \u00ca1,96 cm C \u00ca1,69 cm \u00ca2,89 cm 0 A E -4 -6 \u00c7evre uzunlu\u011fu 10 cm olan bu levha ok y\u00f6n\u00fcnde devrilerek ilerletildi\u011finde C k\u00f6\u015fesinin say\u0131 do\u011frusu \u00fcze- rinde ilk kez kar\u015f\u0131l\u0131k geldi\u011fi nokta a\u015fa\u011f\u0131dakilerden hangisi olur? A) 1,3 B) 1 C) 0,7 D) 0,4 8. S\u0131n\u0131f 141","Veri Analizi Temelini matematikten alan istatistik, verileri toplama ve toplanan verileri d\u00fczenleme, analiz etme, yorumlama, ob- jektif ve do\u011fru karar verme ile ilgili metodlar geli\u015ftiren bilim dal\u0131d\u0131r. Grafikler de bu s\u00fcre\u00e7te olduk\u00e7a kullan\u0131\u015fl\u0131 olan g\u00f6rsel temsilcilerdir. \u00c7izgi Grafi\u011fi \u2022 Verilerin yatay ya da dikey eksenlerdeki kar\u015f\u0131l\u0131klar\u0131n\u0131 veren noktalar\u0131n birle\u015ftirilmesi ile elde edilen grafiklerdir. \u2022 Bir konuya ait verilerdeki de\u011fi\u015fimi incelemek amac\u0131yla kullan\u0131l\u0131r. 33 2. A\u015fa\u011f\u0131daki \u00e7izgi grafi\u011finde Yunus ve Esen\u2019in d\u00f6rt y\u0131l boyunca k\u00fctlelerinin de\u011fi\u015fimi g\u00f6sterilmi\u015ftir. 1. A\u015fa\u011f\u0131daki \u00e7izgi grafi\u011finde bir \u015firketin be\u015f ayl\u0131k elekt- rik ve do\u011falgaz fatura tutarlar\u0131 g\u00f6sterilmi\u015ftir. Grafik: Yunus ve Esen\u2019in K\u00fctleleri K\u00fctle (kg) Grafik: \u015eirketlerin Fatura Tutarlar\u0131 85,5 Tutar (Bin TL) 80,2 Esen 70 60 Do\u011falgaz 76 Yunus 50 Elektrik 40 71,4 30 20 0 Y\u0131l 10 2019 2020 2021 2022 0 Ay A\u015fa\u011f\u0131daki sorular\u0131 cevaplay\u0131n\u0131z. Ocak \u015eubat a) 2020 y\u0131l\u0131nda Esen\u2019in k\u00fctlesi, Yunus\u2019un k\u00fctlesin- den ka\u00e7 kilogram fazlad\u0131r? Mart Nisan May\u0131s A\u015fa\u011f\u0131daki sorular\u0131 cevaplay\u0131n\u0131z. b) Yunus\u2019un en fazla kilo kaybetti\u011fi y\u0131lda, Esen ka\u00e7 kilogram kaybetmi\u015ftir? a) Do\u011falgaz faturas\u0131n\u0131n en fazla geldi\u011fi ay, elektrik faturas\u0131 ka\u00e7 TL gelmi\u015ftir? b) Do\u011falgaz ve elektrik faturalar\u0131n\u0131n e\u015fit geldi\u011fi ay c) Yunus\u2019un k\u00fctlesinin Esen\u2019den fazla oldu\u011fu y\u0131lda, hangisidir? ikisinin k\u00fctleleri toplam\u0131 ka\u00e7 kilogramd\u0131r? c) Be\u015f ayl\u0131k toplam do\u011falgaz faturas\u0131 tutar\u0131, elektrik faturas\u0131 tutar\u0131ndan ka\u00e7 lira fazlad\u0131r? 142 8. S\u0131n\u0131f","Test \u00c7izgi Grafi\u011fi Uyguluyorum 34 1., 2. ve 3. sorular\u0131 grafi\u011fe g\u00f6re cevaplay\u0131n\u0131z. 4., 5. ve 6. sorular\u0131 grafi\u011fe g\u00f6re cevaplay\u0131n\u0131z. A\u015fa\u011f\u0131daki grafikte iki firman\u0131n d\u00f6rt ayl\u0131k sat\u0131\u015f gelirleri A\u015fa\u011f\u0131daki grafikte \u00e7am, kavak ve me\u015fe a\u011fa\u00e7lar\u0131n\u0131n g\u00f6sterilmi\u015ftir. her y\u0131l ba\u015f\u0131ndaki \u00f6l\u00e7\u00fcm sonu\u00e7lar\u0131na g\u00f6re \u00fc\u00e7 y\u0131l bo- yunca boylar\u0131ndaki de\u011fi\u015fim g\u00f6sterilmi\u015ftir. Grafik: Firmalar\u0131n Gelirleri Boy (cm) Gelir (.10 000 TL) 30 145 \u00c7am 25 B 140 20 A 135 Kavak 130 Me\u015fe 15 125 120 10 115 110 5 105 0 Ay 2020 Eyl\u00fcl Ekim Kas\u0131m Aral\u0131k 1. Hangi ayda A firmas\u0131n\u0131n sat\u0131\u015f geliri bir \u00f6nceki aya 2021 2022 Y\u0131llar g\u00f6re de\u011fi\u015fmemi\u015ftir? A) Eyl\u00fcl B) Ekim C) Kas\u0131m D) Aral\u0131k 4. \u00c7am a\u011fac\u0131 \u00fc\u00e7 y\u0131lda toplam ka\u00e7 santimetre uza- m\u0131\u015ft\u0131r? A) 20 B) 25 C) 30 D) 35 2. A firmas\u0131n\u0131n sat\u0131\u015f gelirlerinin en az oldu\u011fu ayda A ve B firmalar\u0131n\u0131n sat\u0131\u015f gelirleri ortalamas\u0131 ka\u00e7 lirad\u0131r? A) 200 000 B) 175 000 5. Kavak a\u011fac\u0131 \u00fc\u00e7 y\u0131lda toplam ka\u00e7 santimetre uza- C) 150 000 D) 125 000 m\u0131\u015ft\u0131r? A) 20 B) 25 C) 30 D) 35 3. B firmas\u0131n\u0131n sat\u0131\u015f gelirlerinin bir \u00f6nceki aya g\u00f6re 6. Me\u015fe a\u011fac\u0131n\u0131n 2022 y\u0131l\u0131ndaki boyu \u00e7am a\u011fac\u0131n\u0131n azald\u0131\u011f\u0131 ayda, iki firman\u0131n sat\u0131\u015f gelirleri fark\u0131 ka\u00e7 2020 y\u0131l\u0131ndaki boyundan ka\u00e7 santimetre fazlad\u0131r? lira olabilir? A) 50 000 B) 100 000 A) 10 B) 15 C) 20 D) 25 C) 150 000 D) 200 000 8. S\u0131n\u0131f 143","Uyguluyorum \u00c7izgi Grafi\u011fi Test 34 7. A\u015fa\u011f\u0131daki grafikte bir bisikletlinin h\u0131z\u0131n\u0131n be\u015f saat 9. A\u015fa\u011f\u0131daki grafikte haftan\u0131n d\u00f6rt g\u00fcn\u00fc boyunca bir i\u00e7indeki de\u011fi\u015fimi verilmi\u015ftir. ilde metrekareye d\u00fc\u015fen ya\u011fmur miktar\u0131 g\u00f6sterilmi\u015f- Grafik: Bisikletlinin H\u0131z\u0131n\u0131n Zamana G\u00f6re De\u011fi\u015fimi tir. H\u0131z (km\/sa) Grafik: Metrekareye D\u00fc\u015fen Ya\u011fmur Miktar\u0131 40 Miktar (L) 30 20 20 16 0 12345 Zaman 12 (saat) 8 Bisikletlinin 5 saatlik h\u0131z ortalamas\u0131 32 km\/sa ol- G\u00fcn du\u011funa g\u00f6re 5. saatteki h\u0131z\u0131 ka\u00e7 km\/sa\u2019tir? Pzts. Sal\u0131 \u00c7r\u015f. Pr\u015f. A) 50 B) 40 C) 30 D) 20 Buna g\u00f6re a\u015fa\u011f\u0131dakilerden hangisi yanl\u0131\u015ft\u0131r? 8. A\u015fa\u011f\u0131daki grafikte bir s\u0131n\u0131f\u0131n matematik s\u0131nav\u0131ndan A) En fazla ya\u011fmur sal\u0131 g\u00fcn\u00fc ya\u011fm\u0131\u015ft\u0131r. ald\u0131\u011f\u0131 puanlar\u0131n \u00f6\u011frenci say\u0131s\u0131na g\u00f6re de\u011fi\u015fimi ve- B) Sal\u0131 g\u00fcn\u00fc metrekareye d\u00fc\u015fen ya\u011fmur miktar\u0131 \u00e7ar- rilmi\u015ftir. \u015famba g\u00fcn\u00fcnden 8 L fazlad\u0131r. Grafik: S\u0131nav Puanlar\u0131 Da\u011f\u0131l\u0131m\u0131 C) Per\u015fembe g\u00fcn\u00fc metrekareye d\u00fc\u015fen ya\u011fmur mik- Puan tar\u0131 pazartesinin %50\u2019si kadard\u0131r. 100 D) Pazartesi g\u00fcn\u00fc metrekareye d\u00fc\u015fen ya\u011fmur mik- 90 80 2 70 tar\u0131n\u0131n \u00e7ar\u015famba g\u00fcn\u00fcne oran\u0131 3 \u2019t\u00fcr. 60 50 10. A\u015fa\u011f\u0131daki grafik, iki farkl\u0131 tesiste past\u00f6rize edilen s\u00fct 40 miktar\u0131n\u0131n de\u011fi\u015fimini g\u00f6stermektedir. Grafik: Past\u00f6rize Edilen S\u00fct Miktar\u0131 Miktar (.100L) 80 70 60 A 50 40 30 B 0 \u00d6\u011frenci 0 Aylar 1 2 3 4 5 6 7 Say\u0131s\u0131 Ocak \u015eubat Mart Nisan 75 puandan fazla puan alanlar\u0131n ba\u015far\u0131l\u0131 kabul Buna g\u00f6re hangi iki ay aras\u0131nda B fabrikas\u0131nda- edildi\u011fi bu s\u0131navda ka\u00e7 \u00f6\u011frenci ba\u015far\u0131l\u0131 olmu\u015f- ki art\u0131\u015f miktar\u0131, A fabrikas\u0131ndaki azal\u0131\u015f miktar\u0131na e\u015fittir? tur? A) 7 B) 9 C) 12 D) 14 A) Ocak - \u015eubat B) \u015eubat - Mart C) Mart - Nisan D) Ocak - Mart 144 8. S\u0131n\u0131f","S\u00fctun Grafi\u011fi \u2022 Verilerin grafik \u00fczerindeki s\u00fctunlarla g\u00f6sterildi\u011fi grafiklerdir. \u2022 Bir konuya ait verileri kar\u015f\u0131la\u015ft\u0131rmak amac\u0131yla kullan\u0131l\u0131r. 34 2. A\u015fa\u011f\u0131daki grafik bir \u015firkette \u00e7al\u0131\u015fan personellerin e\u011fitim durumlar\u0131n\u0131n y\u0131llara g\u00f6re say\u0131s\u0131n\u0131 g\u00f6stermek- 1. A\u015fa\u011f\u0131daki grafik \u00fc\u00e7 farkl\u0131 okuldaki \u00f6\u011frencilerin te- tedir. lefon ya da tablet kullanmay\u0131 tercih etme say\u0131lar\u0131na g\u00f6re da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6stermektedir. Grafik: E\u011fitim Durumlar\u0131na G\u00f6re Personel Say\u0131s\u0131 Grafik: Telefon ya da Tablet Tercih Eden \u00d6\u011frenci Say\u0131 Say\u0131lar\u0131 120 105 Say\u0131 Telefon 90 70 75 60 Tablet 45 50 40 30 20 2020 2021 2022 Y\u0131l Lisans 0 Atat\u00fcrk Cumhuriyet H\u00fcrriyet Okul Y\u00fcksek Lisans Doktora Ortaokulu Ortaokulu Ortaokulu A\u015fa\u011f\u0131daki sorular\u0131 cevaplay\u0131n\u0131z. Buna g\u00f6re a\u015fa\u011f\u0131daki ifadelerden do\u011fru olanlar\u0131n ba\u015f\u0131na \u201cD\u201d, yanl\u0131\u015f olanlar\u0131n ba\u015f\u0131na \u201cY\u201d yaz\u0131n\u0131z. a) Hangi okulda iki cihaz\u0131 tercih eden \u00f6\u011frenci say\u0131- a) (.....) E\u011fitim durumu y\u00fcksek lisans olanlar\u0131n sa- lar\u0131 aras\u0131ndaki fark en fazlad\u0131r? y\u0131s\u0131 s\u00fcrekli artm\u0131\u015ft\u0131r. b) Atat\u00fcrk Ortaokulu\u2019nda telefon tercih eden \u00f6\u011frenci b) (.....) Doktora e\u011fitim durumuna sahip olanlar\u0131n say\u0131s\u0131 ile Cumhuriyet Ortaokulu\u2019nda tablet tercih say\u0131s\u0131 en fazla 2021 y\u0131l\u0131ndad\u0131r. eden \u00f6\u011frenci say\u0131lar\u0131n\u0131n toplam\u0131 ka\u00e7t\u0131r? c) (.....) 2020 y\u0131l\u0131ndaki lisans e\u011fitim durumuna sa- hip personel say\u0131s\u0131 2022 y\u0131l\u0131ndan 10 eksik- tir. c) H\u00fcrriyet Ortaokulu\u2019nda tablet tercih eden \u00f6\u011frenci \u00e7) (.....) 2022 y\u0131l\u0131ndaki doktoral\u0131 personel say\u0131s\u0131 say\u0131s\u0131, telefon tercih eden \u00f6\u011frenci say\u0131s\u0131n\u0131n y\u00fcz- 2020 y\u0131l\u0131ndaki y\u00fcksek lisansl\u0131 personel sa- de ka\u00e7\u0131d\u0131r? y\u0131s\u0131ndan 15 fazlad\u0131r. 8. S\u0131n\u0131f 145","Uyguluyorum S\u00fctun Grafi\u011fi Test 35 1., 2. ve 3. sorular\u0131 grafi\u011fe g\u00f6re cevaplay\u0131n\u0131z. 4., 5. ve 6. sorular\u0131 grafi\u011fe g\u00f6re cevaplay\u0131n\u0131z. A\u015fa\u011f\u0131daki grafikte bir kul\u00fcpteki farkl\u0131 bran\u015flara ait A\u015fa\u011f\u0131daki grafikte belirli bir s\u00fcrede bir \u015fehirdeki g\u00fc- sporcular\u0131n cinsiyete g\u00f6re say\u0131lar\u0131 verilmi\u015ftir. ne\u015fli, ya\u011fmurlu ya da bulutlu g\u00fcn say\u0131s\u0131n\u0131n g\u00fcnlere g\u00f6re da\u011f\u0131l\u0131m\u0131 verilmi\u015ftir. Grafik: Farkl\u0131 Bran\u015flardaki Sporcular\u0131n Cinsiyete G\u00f6re Say\u0131lar\u0131 Grafik: G\u00fcne\u015fli, Ya\u011fmurlu ve Bulutlu G\u00fcn Say\u0131s\u0131 G\u00fcn Say\u0131s\u0131 Sporcu Say\u0131s\u0131 35 Kad\u0131n 14 30 Erkek 12 25 10 20 8 15 6 2 0 Bran\u015f 0 G\u00fcn Pazartesi Sal\u0131 \u00c7ar\u015famba Futbol Basketbol G\u00fcne\u015fli Ya\u011fmurlu Bulutlu Voleybol Hentbol 1. Hangi bran\u015ftaki kad\u0131n sporcu say\u0131s\u0131 erkek spor- 4. G\u00fcne\u015fli ge\u00e7en sal\u0131 g\u00fcnlerinin say\u0131s\u0131, bulutlu ge- cu say\u0131s\u0131ndan 15 fazlad\u0131r? \u00e7en \u00e7ar\u015famba g\u00fcnlerinin say\u0131s\u0131ndan ka\u00e7 fazlad\u0131r? A) Futbol B) Basketbol A) 4 B) 6 C) 8 D) 10 C) Voleybol D) Hentbol 2. Futbol ve basketbol bran\u015flar\u0131ndaki toplam erkek 5. Ya\u011fmurlu ge\u00e7en g\u00fcn say\u0131s\u0131n\u0131n en az oldu\u011fu g\u00fcn- sporcu say\u0131s\u0131, voleybol ve hentbol bran\u015flar\u0131ndaki de g\u00fcne\u015fli ve bulutlu ge\u00e7en g\u00fcn say\u0131lar\u0131n\u0131n top- toplam kad\u0131n sporcu say\u0131s\u0131ndan ka\u00e7 fazlad\u0131r? lam\u0131 ka\u00e7t\u0131r? A) 5 B) 10 C) 15 D) 20 A) 20 B) 18 C) 16 D) 14 3. En az kad\u0131n sporcunun bulundu\u011fu bran\u015ftaki er- 6. Pazartesi g\u00fcn\u00fc ya\u011fmurlu ve bulutlu ge\u00e7en g\u00fcn kek sporcu say\u0131s\u0131 ka\u00e7t\u0131r? say\u0131lar\u0131n\u0131n ortalamas\u0131, g\u00fcne\u015fli ve bulutlu ge\u00e7en g\u00fcn say\u0131lar\u0131n\u0131n ortalamas\u0131ndan ka\u00e7 fazlad\u0131r? A) 35 B) 30 C) 25 D) 20 A) 1 B) 2 C) 3 D) 4 146 8. S\u0131n\u0131f","Test S\u00fctun Grafi\u011fi Uyguluyorum 35 9. A\u015fa\u011f\u0131daki grafikte bir k\u0131rtasiyede sat\u0131lan toplam kitap 7. A\u015fa\u011f\u0131daki grafikte d\u00f6rt \u00f6\u011frencinin bir s\u0131navdan ald\u0131\u011f\u0131 say\u0131s\u0131n\u0131n aylara g\u00f6re da\u011f\u0131l\u0131m\u0131 verilmi\u015ftir. puanlar g\u00f6sterilmi\u015ftir. Grafik: K\u0131rtasiyede Sat\u0131lan Kitap Say\u0131s\u0131 Grafik: \u00d6\u011frencilerin S\u0131nav Puanlar\u0131 Say\u0131 Say\u0131 70 60 90 50 75 30 70 65 Ay Eyl\u00fcl Ekim Kas\u0131m Aral\u0131k Buna g\u00f6re; 0 \u00d6\u011frenci I. Ekim ay\u0131nda sat\u0131lan kitap say\u0131s\u0131, kas\u0131m ay\u0131nda An\u0131l Berk Ceyda Dila sat\u0131lan kitap say\u0131s\u0131ndan 40 fazlad\u0131r. Buna g\u00f6re hangi \u00f6\u011frencinin puan\u0131 d\u00f6rt \u00f6\u011frenci- II. Kas\u0131m ay\u0131nda sat\u0131lan kitap say\u0131s\u0131, eyl\u00fcl ay\u0131nda nin s\u0131nav puanlar\u0131 ortalamas\u0131na e\u015fittir? sat\u0131lan kitap say\u0131s\u0131n\u0131n %50\u2019sidir. A) An\u0131l B) Berk C) Ceyda D) Dila III. Aral\u0131k ay\u0131nda sat\u0131lan kitap say\u0131s\u0131, bir \u00f6nceki ay- dan 30 fazlad\u0131r. Yukar\u0131daki ifadelerden hangileri do\u011frudur? 8. A\u015fa\u011f\u0131daki grafikte, bir m\u00fczeyi g\u00fcnlere g\u00f6re ziyaret A) Yaln\u0131z I. B) I ve II eden yerli ve yabanc\u0131 turist say\u0131lar\u0131 g\u00f6sterilmi\u015ftir. C) II ve III D) I ve III. Grafik: M\u00fczeyi Ziyaret Eden Turist Say\u0131lar\u0131 10. A\u015fa\u011f\u0131daki tabloda bir \u015firket \u00e7al\u0131\u015fanlar\u0131n\u0131n i\u015fe gelir- Say\u0131 (\u00b71000) ken kulland\u0131klar\u0131 ula\u015f\u0131m ara\u00e7lar\u0131n\u0131n y\u0131llara g\u00f6re sa- y\u0131lar\u0131 verilmi\u015ftir. 35 Yerli Yabanc\u0131 Ki\u015fi Say\u0131s\u0131 30 140 25 120 20 100 15 80 60 0 G\u00fcnler 0 2018 2019 2020 2021 Y\u0131l 1\u00b7 2\u00b7 3\u00b7 4\u00b7 Otob\u00fcs \u00d6zel Ara\u00e7 Metro Buna g\u00f6re d\u00f6rt g\u00fcn boyunca m\u00fczeyi ziyaret eden toplam yerli turist say\u0131s\u0131n\u0131n, toplam yabanc\u0131 tu- Buna g\u00f6re hangi y\u0131lda otob\u00fcs ve metro ile gelen- lerin say\u0131s\u0131 birbirine e\u015fit iken \u00f6zel ara\u00e7la gelenle- rist say\u0131s\u0131na oran\u0131 ka\u00e7t\u0131r? rin say\u0131s\u0131 bunlar\u0131n iki kat\u0131d\u0131r? 16 B) 17 C) 22 23 A) 2018 B) 2019 C) 2020 D) 2021 A) 23 22 17 D) 16 8. S\u0131n\u0131f 147","Daire Grafi\u011fi \u2022 Verilerin 360\u00b0\u2019lik bir daire i\u00e7inde her b\u00f6l\u00fcme orant\u0131l\u0131 olarak yerle\u015ftirildi\u011fi grafiklerdir. \u2022 Bir par\u00e7an\u0131n b\u00fct\u00fcn i\u00e7erisindeki oran\u0131n\u0131 g\u00f6stermek amac\u0131yla kullan\u0131l\u0131r. \u00d6rne\u011fin; bir bar\u0131naktaki toplam 36 hayvan\u0131n da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6steren daire grafi\u011fi a\u015fa\u011f\u0131da verilmi\u015ftir. Sincap (6 adet) 120\u00b0 80\u00b0 Kedi (12 adet) 60\u00b0 100\u00b0 Tav\u015fan (8 adet) K\u00f6pek (10 adet) 35 2. 120 sporcunun kat\u0131ld\u0131\u011f\u0131 turnuvadaki sporcular\u0131n bran\u015flar\u0131na g\u00f6re da\u011f\u0131l\u0131m\u0131 a\u015fa\u011f\u0131daki daire grafi\u011finde 1. Bir galeride sat\u0131lan arabalardan 35 tanesi siyah, 40 verilmi\u015ftir. tanesi beyaz, 15 tanesi gri renklidir. Boks Bu bilgilere uygun daire grafi\u011fini \u00e7iziniz. 60\u00b0 G\u00fcre\u015f 120\u00b0 72\u00b0 Tekvando Karate Buna g\u00f6re her bran\u015fa ait sporcular\u0131n say\u0131s\u0131n\u0131 bu- lunuz. 148 8. S\u0131n\u0131f","Test Daire Grafi\u011fi Uyguluyorum 36 1. A\u015fa\u011f\u0131daki dairesel grafik bir bah\u00e7ede \u00fcretilen 60 ton 3. Asl\u0131 hafta sonunda T\u00fcrk\u00e7e dersinden 80, matematik \u00fcr\u00fcn\u00fcn da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6stermektedir. dersinden 120, fen bilimleri dersinden 40 soru \u00e7\u00f6z- m\u00fc\u015ft\u00fcr. Grafik: \u00dcr\u00fcnlerin Da\u011f\u0131l\u0131m\u0131 Buna g\u00f6re Asl\u0131\u2019n\u0131n hafta sonu \u00e7\u00f6zd\u00fc\u011f\u00fc toplam soru say\u0131s\u0131n\u0131n derslere g\u00f6re da\u011f\u0131l\u0131m\u0131 a\u015fa\u011f\u0131daki daire grafiklerinden hangisinde verilmi\u015ftir? 140\u00b0 T\u00fcrk\u00e7e Fen Bilimleri Matematik 100\u00b0 A) B) So\u011fan Domates Patates 120\u00b0 135\u00b0 60\u00b0 D) 45\u00b0 C) 180\u00b0 Buna g\u00f6re bu bah\u00e7ede ka\u00e7 ton patates \u00fcretilmi\u015f- tir? 120\u00b0 60\u00b0 A) 15 B) 20 C) 25 D) 30 2. KARI\u015eIK 70 gr F\u0131nd\u0131k 50 gr Badem 60 gr F\u0131st\u0131k Yukar\u0131daki kuruyemi\u015f paketinde bulunan \u00fcr\u00fcnlerin 4. Sosyal Bilgiler dersinin bir s\u0131nav\u0131ndan s\u0131n\u0131f\u0131n %60\u2019\u0131 toplam k\u00fctlesinin t\u00fcrlerine g\u00f6re da\u011f\u0131l\u0131m\u0131 daire grafi- ba\u015far\u0131s\u0131z olmu\u015ftur. \u011finde g\u00f6sterilmi\u015ftir. Buna g\u00f6re s\u0131n\u0131f\u0131n ba\u015far\u0131 durumu daire grafi\u011fi ile Buna g\u00f6re f\u0131nd\u0131\u011fa ait daire diliminin merkez a\u00e7\u0131s\u0131 g\u00f6sterildi\u011finde ba\u015far\u0131l\u0131 \u00f6\u011frencilere ait daire dili- ka\u00e7 derece olur? minin merkez a\u00e7\u0131s\u0131 ka\u00e7 derece olur? A) 210 B) 175 C) 140 D) 105 A) 216 B) 196 C) 164 D) 144 8. S\u0131n\u0131f 149"]