14
YABANCI UYRUKLU ÖĞRENCİ SINAVI TEMEL ÖĞRENME BECERİLERİ TESTİ VE MATEMATİK TESTİ ÖRNEK SORU KİTAPÇIĞI THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS THE BASIC LEARNING SKILLS TEST AND MATHEMATICS TEST SAMPLE QUESTION BOOKS ADI / NAME SOYADI / SURNAME Y.U. NUMARASI / FR NUMBER SINAV SALON NO / EXAMINATION ROOM NO : : : : Adınızı, soyadınızı, yabancı uyruk ve sınav salon numaralarınızı yukarıya yazınız. Wrte your name, surname, foregn resdent and examnaton room numbers n the approprate places above. I. Bu sınavdak soruların nasıl cevaplanacağı, testn başında açıklanmıştır. Soruları cevaplamaya başlamadan önce bu açıklamaları dkkatle okuyunuz. II. Bu testtek her sorunun br tek doğru cevabı vardır. Br soru çn brden çok cevap yer şaretlenmşse, o soru yanlış cevaplanmış sayılacaktır. III. Cevaplarınızı koyu syah ve yumuşak br kurşun kalemle şaretleynz. İşaretlernz cevap yernn dışına taşırmayınız. Tükenmez kalem veya dolma kalem kullanmayınız. IV. Cevap kâğıdınızı buruşturmayınız, katlamayınız ve üzerne gereksz hçbr şaret koymayınız. V. Değştrmek stedğnz br cevabı, yumuşak br slgyle, cevap kâğıdını örselemeden, temzce slnz ve yen cevabınızı şaretlemey unutmayınız. VI. Bu testler puanlanırken, yanlış cevaplar doğru cevapları götürmeyecektr. Bu nedenle cevapsız soru bırakmamanız yararınıza olacaktır. VII. Sınavda uyulacak dğer kurallar bu ktapçığın arka kapağında belrtlmştr. I. The nstructons for answerng the questons appear at the begnnng of the test. Please read these explanatons carefully before begnnng. II. In ths test there s only one correct answer for each queston. If more than one opton s marked for a queston, t wll automatcally be consdered wrong. III. You should use a soft, black pencl to mark the answer sheet. Completely fill n the crcle for the answer you have chosen, but make sure your mark does not go beyond the borders of the crcle. Do not use any other knds of pen. IV. Keep the answer sheet flat and do not fold t. Do not make any unnecessary marks on t. V. If you wsh to change an answer, carefully erase t completely wth a very soft eraser. Do not forget to mark your new answer. VI. In the scorng of the tests, for every four ncorrect answers, one correct answer wll not be deducted. Keepng s n mnd, do not guess the answers. However, n cases where you are sure that certan alternatves can be elmnated, you may want to choose what seems the best of the remanders. VII. The other regulatons concernng the admnstraton of the tests can be found at the back of the booklet. Bu testn her hakkı saklıdır. Hang amaçla olursa olsun, testn tamamının veya br kısmının Ünverstemzn yazılı zn olmadan kopya edlmes, fotoğrafının çeklmes, herhang br yolla çoğaltılması, yayımlanması ya da kullanılması yasaktır. Bu yasağa uymayanlar gerekl ceza sorumluluğu ve testlern hazırlanmasındak mal külfet peşnen kabullenmş sayılır. All rghts are reserved for ths test. For any purpose, copyng, photographng, reproducton, publcaton, or usng the whole or part of the test wthout the Unversty’s wrtten permsson s prohbted. Those who do not comply wth ths regulaton are deemed to have accepted the financal burden of the necessary crmnal lablty and the preparaton of the test n advance. ADAYIN / APPLICANT'S GENEL AÇIKLAMA / GENERAL INSTRUCTIONS YÖS VADİSİ https://t.me/yosvadisi www.yosinfo.com TASARI ANTALYA

TASARI ANTALYA

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Page 1: TASARI ANTALYA

YABANCI UYRUKLU OumlĞRENCİ SINAVITEMEL OumlĞRENME BECERİLERİ TESTİ VE MATEMATİK TESTİ

OumlRNEK SORU KİTAPCcedilIĞI

THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS THE BASIC LEARNING SKILLS TEST AND MATHEMATICS TEST

SAMPLE QUESTION BOOKS

ADI NAME

SOYADI SURNAME

YU NUMARASI FR NUMBER

SINAV SALON NO EXAMINATION ROOM NO

Adınızı soyadınızı yabancı uyruk ve sınav salon numaralarınızı yukarıya yazınızWrte your name surname foregn resdent and examnaton room numbers n the approprate places above

I Bu sınavdak soruların nasıl cevaplanacağı testnbaşında accedilıklanmıştır Soruları cevaplamayabaşlamadan oumlnce bu accedilıklamaları dkkatle okuyunuz

II Bu testtek her sorunun br tek doğru cevabı vardır Brsoru ccediln brden ccedilok cevap yer şaretlenmşse o soruyanlış cevaplanmış sayılacaktır

III Cevaplarınızı koyu syah ve yumuşak br kurşunkalemle şaretleynz İşaretlernz cevap yernndışına taşırmayınız Tuumlkenmez kalem veya dolmakalem kullanmayınız

IV Cevap kacircğıdınızı buruşturmayınız katlamayınız veuumlzerne gereksz hccedilbr şaret koymayınız

V Değştrmek stedğnz br cevabı yumuşak br slgylecevap kacircğıdını oumlrselemeden temzce slnz ve yencevabınızı şaretlemey unutmayınız

VI Bu testler puanlanırken yanlış cevaplar doğrucevapları goumltuumlrmeyecektr Bu nedenle cevapsız sorubırakmamanız yararınıza olacaktır

VII Sınavda uyulacak dğer kurallar bu ktapccedilığın arkakapağında belrtlmştr

I The nstructons for answerng the questons appear at thebegnnng of the test Please read these explanatonscarefully before begnnng

II In ths test there s only one correct answer for eachqueston If more than one opton s marked for aqueston t wll automatcally be consdered wrong

III You should use a soft black pencl to mark the answersheet Completely fill n the crcle for the answer youhave chosen but make sure your mark does not gobeyond the borders of the crcle Do not use any otherknds of pen

IV Keep the answer sheet flat and do not fold t Do not makeany unnecessary marks on t

V If you wsh to change an answer carefully erase tcompletely wth a very soft eraser Do not forget to markyour new answer

VI In the scorng of the tests for every four ncorrectanswers one correct answer wll not be deductedKeepng s n mnd do not guess the answers Howevern cases where you are sure that certan alternatves canbe elmnated you may want to choose what seems thebest of the remanders

VII The other regulatons concernng the admnstraton ofthe tests can be found at the back of the booklet

Bu testn her hakkı saklıdır Hang amaccedilla olursa olsun testn tamamının veya br kısmının Uumlnverstemzn yazılı zn olmadan kopya edlmes fotoğrafının ccedileklmes herhang br yolla ccediloğaltılması yayımlanması ya da kullanılması yasaktır Bu yasağa uymayanlar gerekl ceza sorumluluğu ve testlern hazırlanmasındak mal kuumllfet peşnen kabullenmş sayılır

All rghts are reserved for ths test For any purpose copyng photographng reproducton publcaton or usng the whole or part of the test wthout the Unverstyrsquos wrtten permsson s prohbted Those who do not comply wth ths regulaton are deemed to have accepted the financal burden of the necessary crmnal lablty and the preparaton of the test n advance

ADAYIN APPLICANTS

GENEL ACcedilIKLAMA GENERAL INSTRUCTIONS

YOumlS VADİSİ httpstmeyosvadisi

wwwyosinfocomTASARI ANTALYA

YABANCI UYRUKLU OumlĞRENCİ SINAVI

THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS

1 Bu test szn soyut duumlşuumlnme guumlcuumlnuumlzuumloumllccedilmek ccediln hazırlanmıştır

2 Bu testte 40 soru vardır

3 Bu testtek soruların cevapları cevapkacircğıdının Temel Oumlğrenme BecerlerTest ccediln ayrılmış olan kısmınaşaretlenecektr

4 Cevaplamaya stedğnz sorudanbaşlayablrsnz Cevaplarınızışaretlerken soru ktapccedilığındak sorunumarası le cevap kacircğıdındak cevapnumarasının aynı olmasına dkkatednz

1 Ths test s desgned to measure yourabstract reasonng

2 Ths test conssts of 40 questons

3 Please use the approprate part of theanswer sheet for ths secton of thetest namely the Basc Learnng SkllsTest secton

4 You can start wth any queston youwant But when markng your answersmake sure that the answer number onthe answer sheet s the same as thequeston number n the test booklet

TEMEL OumlĞRENME BECERİLERİ TESTİ

THE BASIC LEARNING SKILLS TEST

NOT ONDALIK KESİRLERİ GOumlSTERMEK İCcedilİN TUumlRKCcedilE METİNLERDE VİRGUumlL () KULLANILIR

NOTE DECIMALS ARE INDICATED BY A COMMA () IN TURKISH

SAMPLE QUESTION BOOKS

OumlRNEK SORU KİTAPCcedilIĞI

YOumlS VADİSİ httpstmeyosvadisi

1

1

x y z pozitif sayılar olmak uumlzere x y z =

if x y z are positive numbers then what is the value of xyz =

xyzاعداد موجبة بناء على ذلك ماهي قيمة x y zاذا كان

A) 5

2 B) 6

2 C) 7

2 D) 8

2 E) 9

2

2 b

a

ab a a ba b ab a b

b

2 3 1 1

A) -2 B) -1 c) 0 D) 1 E) 2

3

A) 0 B) 1 C) 2 D) 3 E) 4

4 x y z ve t birer rakam olmak uumlzere işlemi aşağıdaki şekilde tanımlanıyor

The operation is defined as follows where x y z and t are one digit numbers

اتمم الشكل التالي كل منهم ارقام tو z y xاذا كان

A) 5 B) 6 C) 7 D) 8 E) 9

YOumlS VADİSİ httpstmeyosvadisi

2

5

TAKIMKEMAL 18183 26183KETUM 15273

16294 26354TEKİLTUTUM

Yukarıdaki soumlzcuumlklerin harfleri birbirinden farklı birer rakamla goumlsterilip sağdaki sayılar elde edimiştir Buna goumlre ldquoTEKİLrdquo kelimesi hangi sayıyla goumlsterilmektedir

The numbers in the second group are obtained by replacing each of the letters with a number Accordingly which number corresponds to the word ldquoTEKİLrdquo =

في الاعلى توجد مجموعة من الكلمات تقابلها مجموعة من الاعداد ماهو TEKİLالعدد الذي يقابل الكلمة

A) 18183 B) 26183 C) 15273

D) 16294 E) 26354

6

Yukarıdaki accedilık şekil katlanarak kuumlp haline getirildiğinde Crsquonin karşısına hangisi gelir

If the above figure is reformed to a cube then which letter sits opposite to letter C =

في الشكل المعطى مكعب ماهو الوجه المقابل للوجه الذي يحمل رمز C=

A) A B) B C) D D) E E) F

7

A) 8 B) 7 C) 6 D) 5 E) 4

8 Bir bilet kuyruğunda Ali rsquoden oumlncekilerin sayısı Alirsquo den sonrakilerin sayısından 5 fazladır Kuyrukta toplam 20 kişi olduğuna goumlre Ali baştan kaccedilıncı sıradadır

In a ticket queue the number of predecesors (before Ali) of Ali is 5 more than the successors (after Ali) of Ali Starting from the first one what is the place of Ali if there are totally 20 people in the queue

في طابور التذاكر حصل علي على بطاقة فكان الفرق مابين عدد الاشخاص قبله وعدد الاشخاص بعده هو خمسة اذا علمت ان عدد

ماهو ترتيب علي 20الاشخاص كان هو

A) 17 B) 16 C) 15 D) 14 E) 13

YOumlS VADİSİ httpstmeyosvadisi

3

9

Şekildeki kuumlp birbirine eş 64 tane kuumlccediluumlk kuumlpten oluşmuştur Oluşan buumlyuumlk kuumlpuumln tuumlm yuumlzeyleri maviye boyansın

The cube in the figure is composed of 64 identical small cubes All sides of the big cube is colored blue

مكعب متساوي ثم تم طلاء 64في الشكل يوجد مكعب تم تقسيمه الى وجوهه باللون الازرق

Uumlccedil yuumlzuuml boyalı kaccedil kuumlccediluumlk kuumlp olur

What is the number of small cubes with three faces colored blue

كم مكعب تظهر لدينا من خلال ثلاثة وجوة للمكعب

A) 16 B) 14 C) 12 D) 10 E) 8

10

A) 334 B) 341 C) 347 D) 401 E) 412

11

2m 3n s 32 m n s

A) -4 B) -2 C) 0 D) 2 E) 4

12

A) 64 B) 69 C) 60 D) 59 E) 76

YOumlS VADİSİ httpstmeyosvadisi

4

13 2 2

A = 4 2

matrisi veriliyor

T TA = B + C B = B C = - C olmak uumlzere B ndash C = (Burada ldquoTrdquo matrisin transpozunu goumlstermektedir)

2 2A = is given

4The matrix

2

If T T

A = B + C B = B C = - C

then what is the matrix B ndash C = (Here ldquoTrdquo stands for the transpose of a matrix)

لتكن المصفوفة 2 2

A = 4 2

T TA = B + C B = B C = - C

) T المصفوفة)يعني منقول = B - Cبناء على ذلك ماهي قيمة

A) 2 5

1 2

B) 1 2

2 1

C) 2 42 2

D) 0 2

2 0

E) 2 3

3 2

14

A) 96 B) 102 C) 108 D) 114 E) 120

15

A) 0 B) 2 C) 4 D) 6 E) 8

16

Yukarıdaki şeklin iccedilinde aşağıdakilerden hangisi yoktur

Wich one of the following does not contained in the above figure

خاطئ او المختلففي الاشكال التالية أي منها هو الشكل ال

YOumlS VADİSİ httpstmeyosvadisi

5

17ve 18 Soruları oumlrnekte verilen ilişkiye goumlre cevaplayınız

Answer the questions 16 and 17 according to the relation given in the example

)16-17للسؤال (اختر الاجابة المناسبة

17

2 2

a c

A) 30 B) 35 C) 40 D) 45 E) 50

18

a b gt 0 a ndash b =

A) 13 B) 11 C) 9 D) 7 E) 5

YOumlS VADİSİ httpstmeyosvadisi

6

19 ve 20 soruları aşağıdaki oumlrneğe goumlre cevaplayınız

Answer the questions 19 and 20 according to the following example

العثور على إجابات بناء على المثال التالي20 - 19 في الأسئلة

Oumlrnek Example

x4 +6 divide3 -33 12 18 6 3

19

+K xK -KA 9 B 56

Yukarıdaki sayı dizisine goumlre A kaccediltır

According to the above number sequence what is the value of A

A في السلسلة الموجودة في الاعلى ماهي قيمة الحرف

A) 2 B) 3 C) 4 D) 5 E) 6

20 Başlangıccedil sayısı A = 8 katsayısı K = 6 olan sayı dizisinde iki toplama ve iki ccedilarpma işlemi yapıldığına goumlre dizinin son (beşinci) terimi en ccedilok kaccedil olabilir

Starting with A = 8 and K = 6 one performs two addition and two multiplaticion What is the largest possible value of the last (fifth) term of the sequence

نقوم باستخدام العدد A = 8نت السلسلة تبدا من قيمة اذا كاK = 6 بالجمع والضرب مرتين متتاليتين ماهي اكبر قيمة للحد الخامس للسلسلة

A) 480 B) 540 C) 720 D) 800 E) 920

YOumlS VADİSİ httpstmeyosvadisi

THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS

1 Bu test szn somut duumlşuumlnme guumlcuumlnuumlzuumloumllccedilmek ccediln hazırlanmıştır

2 Bu testte 40 soru vardır

3 Bu testtek soruların cevapları cevapkacircğıdının Matematk Test ccediln ayrılmışolan kısmına şaretlenecektr

4 Cevaplamaya stedğnz sorudanbaşlayablrsnz Cevaplarınızışaretlerken soru ktapccedilığındak sorunumarası le cevap kacircğıdındak cevapnumarasının aynı olmasına dkkatednz

1 Ths test s desgned to measure yourconcrete reasonng

2 Ths test conssts of 40 questons

3 Please use the approprate part of theanswer sheet for ths secton of thetest namely the Mathematcs Testsecton

4 You can start wth any queston youwant But when markng your answersmake sure that the answer number onthe answer sheet s the same as thequeston number n the test booklet

MATEMATİK TESTİ

MATHEMATICS TEST

NOT ONDALIK KESİRLERİ GOumlSTERMEK İCcedilİN TUumlRKCcedilE METİNLERDE VİRGUumlL () KULLANILIR

NOTE DECIMALS ARE INDICATED BY A COMMA () IN TURKISH

SAMPLE QUESTION BOOKS

YABANCI UYRUKLU OumlĞRENCİ SINAVI

OumlRNEK SORU KİTAPCcedilIĞI

YOumlS VADİSİ httpstmeyosvadisi

8

1 1 1 1

1 1 14 5 6a b c5 4 3

sayılarının

kuumlccediluumlkten buumlyuumlğe doğru sıralaması aşağıdakilerden hangisidir

What is the correct order of the above numbers when they are ordered from the smallest to the largest

الترتيب الصحيح من الصغير الى الكبير للاعداد أي من التالي هو

A) c lt a lt b

B) a lt b lt c

C) b lt c lt a

D) c lt b lt a

E) b lt c lt a

2

a b + b a a+ b

A) a B) b C) a

D) b E) ab

3 x x 2x 4x

2 1 2 1 2 1 2 1 1023 x =

A) 8 B) 7 C) 6 D) 45

E) 54

4 a b 3 ve x + y = 2

ax x ay y bx by

A) 4 B) 6 C) 8 D) 10 E) 12

5 a 3 b 4 ac 21 0 olduğuna goumlre

a b c

if a 3 b 4 ac 21 0 then what is the value

of a b c

a بناء على ذلك 3 b 4 ac 21 0 اذا كان لدينا

a b c

A) -10 B) -9 C) -8 D) -7 E) -6

YOumlS VADİSİ httpstmeyosvadisi

9

6 423 5 3

A) 11012 3 B) 21001 3

C) 10122 3 D) 20011 3

E) 10012 3

7

p 0 16

k 52k 1 p

A) 9 27 2p B) 10 27 2p

C) 13 20 p D) 12 20 p

E) 11 10 p

8

ABCD bir dikdoumlrtgen ve

AD DE CF BF AF 2 10

A (AEF) =

In the figure ABCD is a rectangle If AD DE CF BF AF 2 10 units then

what is the area A(AEF) of the triangle AEF in square units

مستطيل ABCDاذا كان AD DE CF BF AF 2 10

= A (AEF)ماهي مساحة المثلث

A) 8 B) 10 C) 12 D) 14 E) 16

9

fg

1f x 3x 4 fog 13

g x 4x 3

A) 12 B) 16 C) 18 D) 21 E) 24

YOumlS VADİSİ httpstmeyosvadisi

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

YOumlS VADİSİ httpstmeyosvadisi

11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

YOumlS VADİSİ httpstmeyosvadisi

Page 2: TASARI ANTALYA

YABANCI UYRUKLU OumlĞRENCİ SINAVI

THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS

1 Bu test szn soyut duumlşuumlnme guumlcuumlnuumlzuumloumllccedilmek ccediln hazırlanmıştır

2 Bu testte 40 soru vardır

3 Bu testtek soruların cevapları cevapkacircğıdının Temel Oumlğrenme BecerlerTest ccediln ayrılmış olan kısmınaşaretlenecektr

4 Cevaplamaya stedğnz sorudanbaşlayablrsnz Cevaplarınızışaretlerken soru ktapccedilığındak sorunumarası le cevap kacircğıdındak cevapnumarasının aynı olmasına dkkatednz

1 Ths test s desgned to measure yourabstract reasonng

2 Ths test conssts of 40 questons

3 Please use the approprate part of theanswer sheet for ths secton of thetest namely the Basc Learnng SkllsTest secton

4 You can start wth any queston youwant But when markng your answersmake sure that the answer number onthe answer sheet s the same as thequeston number n the test booklet

TEMEL OumlĞRENME BECERİLERİ TESTİ

THE BASIC LEARNING SKILLS TEST

NOT ONDALIK KESİRLERİ GOumlSTERMEK İCcedilİN TUumlRKCcedilE METİNLERDE VİRGUumlL () KULLANILIR

NOTE DECIMALS ARE INDICATED BY A COMMA () IN TURKISH

SAMPLE QUESTION BOOKS

OumlRNEK SORU KİTAPCcedilIĞI

YOumlS VADİSİ httpstmeyosvadisi

1

1

x y z pozitif sayılar olmak uumlzere x y z =

if x y z are positive numbers then what is the value of xyz =

xyzاعداد موجبة بناء على ذلك ماهي قيمة x y zاذا كان

A) 5

2 B) 6

2 C) 7

2 D) 8

2 E) 9

2

2 b

a

ab a a ba b ab a b

b

2 3 1 1

A) -2 B) -1 c) 0 D) 1 E) 2

3

A) 0 B) 1 C) 2 D) 3 E) 4

4 x y z ve t birer rakam olmak uumlzere işlemi aşağıdaki şekilde tanımlanıyor

The operation is defined as follows where x y z and t are one digit numbers

اتمم الشكل التالي كل منهم ارقام tو z y xاذا كان

A) 5 B) 6 C) 7 D) 8 E) 9

YOumlS VADİSİ httpstmeyosvadisi

2

5

TAKIMKEMAL 18183 26183KETUM 15273

16294 26354TEKİLTUTUM

Yukarıdaki soumlzcuumlklerin harfleri birbirinden farklı birer rakamla goumlsterilip sağdaki sayılar elde edimiştir Buna goumlre ldquoTEKİLrdquo kelimesi hangi sayıyla goumlsterilmektedir

The numbers in the second group are obtained by replacing each of the letters with a number Accordingly which number corresponds to the word ldquoTEKİLrdquo =

في الاعلى توجد مجموعة من الكلمات تقابلها مجموعة من الاعداد ماهو TEKİLالعدد الذي يقابل الكلمة

A) 18183 B) 26183 C) 15273

D) 16294 E) 26354

6

Yukarıdaki accedilık şekil katlanarak kuumlp haline getirildiğinde Crsquonin karşısına hangisi gelir

If the above figure is reformed to a cube then which letter sits opposite to letter C =

في الشكل المعطى مكعب ماهو الوجه المقابل للوجه الذي يحمل رمز C=

A) A B) B C) D D) E E) F

7

A) 8 B) 7 C) 6 D) 5 E) 4

8 Bir bilet kuyruğunda Ali rsquoden oumlncekilerin sayısı Alirsquo den sonrakilerin sayısından 5 fazladır Kuyrukta toplam 20 kişi olduğuna goumlre Ali baştan kaccedilıncı sıradadır

In a ticket queue the number of predecesors (before Ali) of Ali is 5 more than the successors (after Ali) of Ali Starting from the first one what is the place of Ali if there are totally 20 people in the queue

في طابور التذاكر حصل علي على بطاقة فكان الفرق مابين عدد الاشخاص قبله وعدد الاشخاص بعده هو خمسة اذا علمت ان عدد

ماهو ترتيب علي 20الاشخاص كان هو

A) 17 B) 16 C) 15 D) 14 E) 13

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3

9

Şekildeki kuumlp birbirine eş 64 tane kuumlccediluumlk kuumlpten oluşmuştur Oluşan buumlyuumlk kuumlpuumln tuumlm yuumlzeyleri maviye boyansın

The cube in the figure is composed of 64 identical small cubes All sides of the big cube is colored blue

مكعب متساوي ثم تم طلاء 64في الشكل يوجد مكعب تم تقسيمه الى وجوهه باللون الازرق

Uumlccedil yuumlzuuml boyalı kaccedil kuumlccediluumlk kuumlp olur

What is the number of small cubes with three faces colored blue

كم مكعب تظهر لدينا من خلال ثلاثة وجوة للمكعب

A) 16 B) 14 C) 12 D) 10 E) 8

10

A) 334 B) 341 C) 347 D) 401 E) 412

11

2m 3n s 32 m n s

A) -4 B) -2 C) 0 D) 2 E) 4

12

A) 64 B) 69 C) 60 D) 59 E) 76

YOumlS VADİSİ httpstmeyosvadisi

4

13 2 2

A = 4 2

matrisi veriliyor

T TA = B + C B = B C = - C olmak uumlzere B ndash C = (Burada ldquoTrdquo matrisin transpozunu goumlstermektedir)

2 2A = is given

4The matrix

2

If T T

A = B + C B = B C = - C

then what is the matrix B ndash C = (Here ldquoTrdquo stands for the transpose of a matrix)

لتكن المصفوفة 2 2

A = 4 2

T TA = B + C B = B C = - C

) T المصفوفة)يعني منقول = B - Cبناء على ذلك ماهي قيمة

A) 2 5

1 2

B) 1 2

2 1

C) 2 42 2

D) 0 2

2 0

E) 2 3

3 2

14

A) 96 B) 102 C) 108 D) 114 E) 120

15

A) 0 B) 2 C) 4 D) 6 E) 8

16

Yukarıdaki şeklin iccedilinde aşağıdakilerden hangisi yoktur

Wich one of the following does not contained in the above figure

خاطئ او المختلففي الاشكال التالية أي منها هو الشكل ال

YOumlS VADİSİ httpstmeyosvadisi

5

17ve 18 Soruları oumlrnekte verilen ilişkiye goumlre cevaplayınız

Answer the questions 16 and 17 according to the relation given in the example

)16-17للسؤال (اختر الاجابة المناسبة

17

2 2

a c

A) 30 B) 35 C) 40 D) 45 E) 50

18

a b gt 0 a ndash b =

A) 13 B) 11 C) 9 D) 7 E) 5

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6

19 ve 20 soruları aşağıdaki oumlrneğe goumlre cevaplayınız

Answer the questions 19 and 20 according to the following example

العثور على إجابات بناء على المثال التالي20 - 19 في الأسئلة

Oumlrnek Example

x4 +6 divide3 -33 12 18 6 3

19

+K xK -KA 9 B 56

Yukarıdaki sayı dizisine goumlre A kaccediltır

According to the above number sequence what is the value of A

A في السلسلة الموجودة في الاعلى ماهي قيمة الحرف

A) 2 B) 3 C) 4 D) 5 E) 6

20 Başlangıccedil sayısı A = 8 katsayısı K = 6 olan sayı dizisinde iki toplama ve iki ccedilarpma işlemi yapıldığına goumlre dizinin son (beşinci) terimi en ccedilok kaccedil olabilir

Starting with A = 8 and K = 6 one performs two addition and two multiplaticion What is the largest possible value of the last (fifth) term of the sequence

نقوم باستخدام العدد A = 8نت السلسلة تبدا من قيمة اذا كاK = 6 بالجمع والضرب مرتين متتاليتين ماهي اكبر قيمة للحد الخامس للسلسلة

A) 480 B) 540 C) 720 D) 800 E) 920

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THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS

1 Bu test szn somut duumlşuumlnme guumlcuumlnuumlzuumloumllccedilmek ccediln hazırlanmıştır

2 Bu testte 40 soru vardır

3 Bu testtek soruların cevapları cevapkacircğıdının Matematk Test ccediln ayrılmışolan kısmına şaretlenecektr

4 Cevaplamaya stedğnz sorudanbaşlayablrsnz Cevaplarınızışaretlerken soru ktapccedilığındak sorunumarası le cevap kacircğıdındak cevapnumarasının aynı olmasına dkkatednz

1 Ths test s desgned to measure yourconcrete reasonng

2 Ths test conssts of 40 questons

3 Please use the approprate part of theanswer sheet for ths secton of thetest namely the Mathematcs Testsecton

4 You can start wth any queston youwant But when markng your answersmake sure that the answer number onthe answer sheet s the same as thequeston number n the test booklet

MATEMATİK TESTİ

MATHEMATICS TEST

NOT ONDALIK KESİRLERİ GOumlSTERMEK İCcedilİN TUumlRKCcedilE METİNLERDE VİRGUumlL () KULLANILIR

NOTE DECIMALS ARE INDICATED BY A COMMA () IN TURKISH

SAMPLE QUESTION BOOKS

YABANCI UYRUKLU OumlĞRENCİ SINAVI

OumlRNEK SORU KİTAPCcedilIĞI

YOumlS VADİSİ httpstmeyosvadisi

8

1 1 1 1

1 1 14 5 6a b c5 4 3

sayılarının

kuumlccediluumlkten buumlyuumlğe doğru sıralaması aşağıdakilerden hangisidir

What is the correct order of the above numbers when they are ordered from the smallest to the largest

الترتيب الصحيح من الصغير الى الكبير للاعداد أي من التالي هو

A) c lt a lt b

B) a lt b lt c

C) b lt c lt a

D) c lt b lt a

E) b lt c lt a

2

a b + b a a+ b

A) a B) b C) a

D) b E) ab

3 x x 2x 4x

2 1 2 1 2 1 2 1 1023 x =

A) 8 B) 7 C) 6 D) 45

E) 54

4 a b 3 ve x + y = 2

ax x ay y bx by

A) 4 B) 6 C) 8 D) 10 E) 12

5 a 3 b 4 ac 21 0 olduğuna goumlre

a b c

if a 3 b 4 ac 21 0 then what is the value

of a b c

a بناء على ذلك 3 b 4 ac 21 0 اذا كان لدينا

a b c

A) -10 B) -9 C) -8 D) -7 E) -6

YOumlS VADİSİ httpstmeyosvadisi

9

6 423 5 3

A) 11012 3 B) 21001 3

C) 10122 3 D) 20011 3

E) 10012 3

7

p 0 16

k 52k 1 p

A) 9 27 2p B) 10 27 2p

C) 13 20 p D) 12 20 p

E) 11 10 p

8

ABCD bir dikdoumlrtgen ve

AD DE CF BF AF 2 10

A (AEF) =

In the figure ABCD is a rectangle If AD DE CF BF AF 2 10 units then

what is the area A(AEF) of the triangle AEF in square units

مستطيل ABCDاذا كان AD DE CF BF AF 2 10

= A (AEF)ماهي مساحة المثلث

A) 8 B) 10 C) 12 D) 14 E) 16

9

fg

1f x 3x 4 fog 13

g x 4x 3

A) 12 B) 16 C) 18 D) 21 E) 24

YOumlS VADİSİ httpstmeyosvadisi

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

YOumlS VADİSİ httpstmeyosvadisi

11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

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Page 3: TASARI ANTALYA

1

1

x y z pozitif sayılar olmak uumlzere x y z =

if x y z are positive numbers then what is the value of xyz =

xyzاعداد موجبة بناء على ذلك ماهي قيمة x y zاذا كان

A) 5

2 B) 6

2 C) 7

2 D) 8

2 E) 9

2

2 b

a

ab a a ba b ab a b

b

2 3 1 1

A) -2 B) -1 c) 0 D) 1 E) 2

3

A) 0 B) 1 C) 2 D) 3 E) 4

4 x y z ve t birer rakam olmak uumlzere işlemi aşağıdaki şekilde tanımlanıyor

The operation is defined as follows where x y z and t are one digit numbers

اتمم الشكل التالي كل منهم ارقام tو z y xاذا كان

A) 5 B) 6 C) 7 D) 8 E) 9

YOumlS VADİSİ httpstmeyosvadisi

2

5

TAKIMKEMAL 18183 26183KETUM 15273

16294 26354TEKİLTUTUM

Yukarıdaki soumlzcuumlklerin harfleri birbirinden farklı birer rakamla goumlsterilip sağdaki sayılar elde edimiştir Buna goumlre ldquoTEKİLrdquo kelimesi hangi sayıyla goumlsterilmektedir

The numbers in the second group are obtained by replacing each of the letters with a number Accordingly which number corresponds to the word ldquoTEKİLrdquo =

في الاعلى توجد مجموعة من الكلمات تقابلها مجموعة من الاعداد ماهو TEKİLالعدد الذي يقابل الكلمة

A) 18183 B) 26183 C) 15273

D) 16294 E) 26354

6

Yukarıdaki accedilık şekil katlanarak kuumlp haline getirildiğinde Crsquonin karşısına hangisi gelir

If the above figure is reformed to a cube then which letter sits opposite to letter C =

في الشكل المعطى مكعب ماهو الوجه المقابل للوجه الذي يحمل رمز C=

A) A B) B C) D D) E E) F

7

A) 8 B) 7 C) 6 D) 5 E) 4

8 Bir bilet kuyruğunda Ali rsquoden oumlncekilerin sayısı Alirsquo den sonrakilerin sayısından 5 fazladır Kuyrukta toplam 20 kişi olduğuna goumlre Ali baştan kaccedilıncı sıradadır

In a ticket queue the number of predecesors (before Ali) of Ali is 5 more than the successors (after Ali) of Ali Starting from the first one what is the place of Ali if there are totally 20 people in the queue

في طابور التذاكر حصل علي على بطاقة فكان الفرق مابين عدد الاشخاص قبله وعدد الاشخاص بعده هو خمسة اذا علمت ان عدد

ماهو ترتيب علي 20الاشخاص كان هو

A) 17 B) 16 C) 15 D) 14 E) 13

YOumlS VADİSİ httpstmeyosvadisi

3

9

Şekildeki kuumlp birbirine eş 64 tane kuumlccediluumlk kuumlpten oluşmuştur Oluşan buumlyuumlk kuumlpuumln tuumlm yuumlzeyleri maviye boyansın

The cube in the figure is composed of 64 identical small cubes All sides of the big cube is colored blue

مكعب متساوي ثم تم طلاء 64في الشكل يوجد مكعب تم تقسيمه الى وجوهه باللون الازرق

Uumlccedil yuumlzuuml boyalı kaccedil kuumlccediluumlk kuumlp olur

What is the number of small cubes with three faces colored blue

كم مكعب تظهر لدينا من خلال ثلاثة وجوة للمكعب

A) 16 B) 14 C) 12 D) 10 E) 8

10

A) 334 B) 341 C) 347 D) 401 E) 412

11

2m 3n s 32 m n s

A) -4 B) -2 C) 0 D) 2 E) 4

12

A) 64 B) 69 C) 60 D) 59 E) 76

YOumlS VADİSİ httpstmeyosvadisi

4

13 2 2

A = 4 2

matrisi veriliyor

T TA = B + C B = B C = - C olmak uumlzere B ndash C = (Burada ldquoTrdquo matrisin transpozunu goumlstermektedir)

2 2A = is given

4The matrix

2

If T T

A = B + C B = B C = - C

then what is the matrix B ndash C = (Here ldquoTrdquo stands for the transpose of a matrix)

لتكن المصفوفة 2 2

A = 4 2

T TA = B + C B = B C = - C

) T المصفوفة)يعني منقول = B - Cبناء على ذلك ماهي قيمة

A) 2 5

1 2

B) 1 2

2 1

C) 2 42 2

D) 0 2

2 0

E) 2 3

3 2

14

A) 96 B) 102 C) 108 D) 114 E) 120

15

A) 0 B) 2 C) 4 D) 6 E) 8

16

Yukarıdaki şeklin iccedilinde aşağıdakilerden hangisi yoktur

Wich one of the following does not contained in the above figure

خاطئ او المختلففي الاشكال التالية أي منها هو الشكل ال

YOumlS VADİSİ httpstmeyosvadisi

5

17ve 18 Soruları oumlrnekte verilen ilişkiye goumlre cevaplayınız

Answer the questions 16 and 17 according to the relation given in the example

)16-17للسؤال (اختر الاجابة المناسبة

17

2 2

a c

A) 30 B) 35 C) 40 D) 45 E) 50

18

a b gt 0 a ndash b =

A) 13 B) 11 C) 9 D) 7 E) 5

YOumlS VADİSİ httpstmeyosvadisi

6

19 ve 20 soruları aşağıdaki oumlrneğe goumlre cevaplayınız

Answer the questions 19 and 20 according to the following example

العثور على إجابات بناء على المثال التالي20 - 19 في الأسئلة

Oumlrnek Example

x4 +6 divide3 -33 12 18 6 3

19

+K xK -KA 9 B 56

Yukarıdaki sayı dizisine goumlre A kaccediltır

According to the above number sequence what is the value of A

A في السلسلة الموجودة في الاعلى ماهي قيمة الحرف

A) 2 B) 3 C) 4 D) 5 E) 6

20 Başlangıccedil sayısı A = 8 katsayısı K = 6 olan sayı dizisinde iki toplama ve iki ccedilarpma işlemi yapıldığına goumlre dizinin son (beşinci) terimi en ccedilok kaccedil olabilir

Starting with A = 8 and K = 6 one performs two addition and two multiplaticion What is the largest possible value of the last (fifth) term of the sequence

نقوم باستخدام العدد A = 8نت السلسلة تبدا من قيمة اذا كاK = 6 بالجمع والضرب مرتين متتاليتين ماهي اكبر قيمة للحد الخامس للسلسلة

A) 480 B) 540 C) 720 D) 800 E) 920

YOumlS VADİSİ httpstmeyosvadisi

THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS

1 Bu test szn somut duumlşuumlnme guumlcuumlnuumlzuumloumllccedilmek ccediln hazırlanmıştır

2 Bu testte 40 soru vardır

3 Bu testtek soruların cevapları cevapkacircğıdının Matematk Test ccediln ayrılmışolan kısmına şaretlenecektr

4 Cevaplamaya stedğnz sorudanbaşlayablrsnz Cevaplarınızışaretlerken soru ktapccedilığındak sorunumarası le cevap kacircğıdındak cevapnumarasının aynı olmasına dkkatednz

1 Ths test s desgned to measure yourconcrete reasonng

2 Ths test conssts of 40 questons

3 Please use the approprate part of theanswer sheet for ths secton of thetest namely the Mathematcs Testsecton

4 You can start wth any queston youwant But when markng your answersmake sure that the answer number onthe answer sheet s the same as thequeston number n the test booklet

MATEMATİK TESTİ

MATHEMATICS TEST

NOT ONDALIK KESİRLERİ GOumlSTERMEK İCcedilİN TUumlRKCcedilE METİNLERDE VİRGUumlL () KULLANILIR

NOTE DECIMALS ARE INDICATED BY A COMMA () IN TURKISH

SAMPLE QUESTION BOOKS

YABANCI UYRUKLU OumlĞRENCİ SINAVI

OumlRNEK SORU KİTAPCcedilIĞI

YOumlS VADİSİ httpstmeyosvadisi

8

1 1 1 1

1 1 14 5 6a b c5 4 3

sayılarının

kuumlccediluumlkten buumlyuumlğe doğru sıralaması aşağıdakilerden hangisidir

What is the correct order of the above numbers when they are ordered from the smallest to the largest

الترتيب الصحيح من الصغير الى الكبير للاعداد أي من التالي هو

A) c lt a lt b

B) a lt b lt c

C) b lt c lt a

D) c lt b lt a

E) b lt c lt a

2

a b + b a a+ b

A) a B) b C) a

D) b E) ab

3 x x 2x 4x

2 1 2 1 2 1 2 1 1023 x =

A) 8 B) 7 C) 6 D) 45

E) 54

4 a b 3 ve x + y = 2

ax x ay y bx by

A) 4 B) 6 C) 8 D) 10 E) 12

5 a 3 b 4 ac 21 0 olduğuna goumlre

a b c

if a 3 b 4 ac 21 0 then what is the value

of a b c

a بناء على ذلك 3 b 4 ac 21 0 اذا كان لدينا

a b c

A) -10 B) -9 C) -8 D) -7 E) -6

YOumlS VADİSİ httpstmeyosvadisi

9

6 423 5 3

A) 11012 3 B) 21001 3

C) 10122 3 D) 20011 3

E) 10012 3

7

p 0 16

k 52k 1 p

A) 9 27 2p B) 10 27 2p

C) 13 20 p D) 12 20 p

E) 11 10 p

8

ABCD bir dikdoumlrtgen ve

AD DE CF BF AF 2 10

A (AEF) =

In the figure ABCD is a rectangle If AD DE CF BF AF 2 10 units then

what is the area A(AEF) of the triangle AEF in square units

مستطيل ABCDاذا كان AD DE CF BF AF 2 10

= A (AEF)ماهي مساحة المثلث

A) 8 B) 10 C) 12 D) 14 E) 16

9

fg

1f x 3x 4 fog 13

g x 4x 3

A) 12 B) 16 C) 18 D) 21 E) 24

YOumlS VADİSİ httpstmeyosvadisi

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

YOumlS VADİSİ httpstmeyosvadisi

11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

YOumlS VADİSİ httpstmeyosvadisi

Page 4: TASARI ANTALYA

2

5

TAKIMKEMAL 18183 26183KETUM 15273

16294 26354TEKİLTUTUM

Yukarıdaki soumlzcuumlklerin harfleri birbirinden farklı birer rakamla goumlsterilip sağdaki sayılar elde edimiştir Buna goumlre ldquoTEKİLrdquo kelimesi hangi sayıyla goumlsterilmektedir

The numbers in the second group are obtained by replacing each of the letters with a number Accordingly which number corresponds to the word ldquoTEKİLrdquo =

في الاعلى توجد مجموعة من الكلمات تقابلها مجموعة من الاعداد ماهو TEKİLالعدد الذي يقابل الكلمة

A) 18183 B) 26183 C) 15273

D) 16294 E) 26354

6

Yukarıdaki accedilık şekil katlanarak kuumlp haline getirildiğinde Crsquonin karşısına hangisi gelir

If the above figure is reformed to a cube then which letter sits opposite to letter C =

في الشكل المعطى مكعب ماهو الوجه المقابل للوجه الذي يحمل رمز C=

A) A B) B C) D D) E E) F

7

A) 8 B) 7 C) 6 D) 5 E) 4

8 Bir bilet kuyruğunda Ali rsquoden oumlncekilerin sayısı Alirsquo den sonrakilerin sayısından 5 fazladır Kuyrukta toplam 20 kişi olduğuna goumlre Ali baştan kaccedilıncı sıradadır

In a ticket queue the number of predecesors (before Ali) of Ali is 5 more than the successors (after Ali) of Ali Starting from the first one what is the place of Ali if there are totally 20 people in the queue

في طابور التذاكر حصل علي على بطاقة فكان الفرق مابين عدد الاشخاص قبله وعدد الاشخاص بعده هو خمسة اذا علمت ان عدد

ماهو ترتيب علي 20الاشخاص كان هو

A) 17 B) 16 C) 15 D) 14 E) 13

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3

9

Şekildeki kuumlp birbirine eş 64 tane kuumlccediluumlk kuumlpten oluşmuştur Oluşan buumlyuumlk kuumlpuumln tuumlm yuumlzeyleri maviye boyansın

The cube in the figure is composed of 64 identical small cubes All sides of the big cube is colored blue

مكعب متساوي ثم تم طلاء 64في الشكل يوجد مكعب تم تقسيمه الى وجوهه باللون الازرق

Uumlccedil yuumlzuuml boyalı kaccedil kuumlccediluumlk kuumlp olur

What is the number of small cubes with three faces colored blue

كم مكعب تظهر لدينا من خلال ثلاثة وجوة للمكعب

A) 16 B) 14 C) 12 D) 10 E) 8

10

A) 334 B) 341 C) 347 D) 401 E) 412

11

2m 3n s 32 m n s

A) -4 B) -2 C) 0 D) 2 E) 4

12

A) 64 B) 69 C) 60 D) 59 E) 76

YOumlS VADİSİ httpstmeyosvadisi

4

13 2 2

A = 4 2

matrisi veriliyor

T TA = B + C B = B C = - C olmak uumlzere B ndash C = (Burada ldquoTrdquo matrisin transpozunu goumlstermektedir)

2 2A = is given

4The matrix

2

If T T

A = B + C B = B C = - C

then what is the matrix B ndash C = (Here ldquoTrdquo stands for the transpose of a matrix)

لتكن المصفوفة 2 2

A = 4 2

T TA = B + C B = B C = - C

) T المصفوفة)يعني منقول = B - Cبناء على ذلك ماهي قيمة

A) 2 5

1 2

B) 1 2

2 1

C) 2 42 2

D) 0 2

2 0

E) 2 3

3 2

14

A) 96 B) 102 C) 108 D) 114 E) 120

15

A) 0 B) 2 C) 4 D) 6 E) 8

16

Yukarıdaki şeklin iccedilinde aşağıdakilerden hangisi yoktur

Wich one of the following does not contained in the above figure

خاطئ او المختلففي الاشكال التالية أي منها هو الشكل ال

YOumlS VADİSİ httpstmeyosvadisi

5

17ve 18 Soruları oumlrnekte verilen ilişkiye goumlre cevaplayınız

Answer the questions 16 and 17 according to the relation given in the example

)16-17للسؤال (اختر الاجابة المناسبة

17

2 2

a c

A) 30 B) 35 C) 40 D) 45 E) 50

18

a b gt 0 a ndash b =

A) 13 B) 11 C) 9 D) 7 E) 5

YOumlS VADİSİ httpstmeyosvadisi

6

19 ve 20 soruları aşağıdaki oumlrneğe goumlre cevaplayınız

Answer the questions 19 and 20 according to the following example

العثور على إجابات بناء على المثال التالي20 - 19 في الأسئلة

Oumlrnek Example

x4 +6 divide3 -33 12 18 6 3

19

+K xK -KA 9 B 56

Yukarıdaki sayı dizisine goumlre A kaccediltır

According to the above number sequence what is the value of A

A في السلسلة الموجودة في الاعلى ماهي قيمة الحرف

A) 2 B) 3 C) 4 D) 5 E) 6

20 Başlangıccedil sayısı A = 8 katsayısı K = 6 olan sayı dizisinde iki toplama ve iki ccedilarpma işlemi yapıldığına goumlre dizinin son (beşinci) terimi en ccedilok kaccedil olabilir

Starting with A = 8 and K = 6 one performs two addition and two multiplaticion What is the largest possible value of the last (fifth) term of the sequence

نقوم باستخدام العدد A = 8نت السلسلة تبدا من قيمة اذا كاK = 6 بالجمع والضرب مرتين متتاليتين ماهي اكبر قيمة للحد الخامس للسلسلة

A) 480 B) 540 C) 720 D) 800 E) 920

YOumlS VADİSİ httpstmeyosvadisi

THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS

1 Bu test szn somut duumlşuumlnme guumlcuumlnuumlzuumloumllccedilmek ccediln hazırlanmıştır

2 Bu testte 40 soru vardır

3 Bu testtek soruların cevapları cevapkacircğıdının Matematk Test ccediln ayrılmışolan kısmına şaretlenecektr

4 Cevaplamaya stedğnz sorudanbaşlayablrsnz Cevaplarınızışaretlerken soru ktapccedilığındak sorunumarası le cevap kacircğıdındak cevapnumarasının aynı olmasına dkkatednz

1 Ths test s desgned to measure yourconcrete reasonng

2 Ths test conssts of 40 questons

3 Please use the approprate part of theanswer sheet for ths secton of thetest namely the Mathematcs Testsecton

4 You can start wth any queston youwant But when markng your answersmake sure that the answer number onthe answer sheet s the same as thequeston number n the test booklet

MATEMATİK TESTİ

MATHEMATICS TEST

NOT ONDALIK KESİRLERİ GOumlSTERMEK İCcedilİN TUumlRKCcedilE METİNLERDE VİRGUumlL () KULLANILIR

NOTE DECIMALS ARE INDICATED BY A COMMA () IN TURKISH

SAMPLE QUESTION BOOKS

YABANCI UYRUKLU OumlĞRENCİ SINAVI

OumlRNEK SORU KİTAPCcedilIĞI

YOumlS VADİSİ httpstmeyosvadisi

8

1 1 1 1

1 1 14 5 6a b c5 4 3

sayılarının

kuumlccediluumlkten buumlyuumlğe doğru sıralaması aşağıdakilerden hangisidir

What is the correct order of the above numbers when they are ordered from the smallest to the largest

الترتيب الصحيح من الصغير الى الكبير للاعداد أي من التالي هو

A) c lt a lt b

B) a lt b lt c

C) b lt c lt a

D) c lt b lt a

E) b lt c lt a

2

a b + b a a+ b

A) a B) b C) a

D) b E) ab

3 x x 2x 4x

2 1 2 1 2 1 2 1 1023 x =

A) 8 B) 7 C) 6 D) 45

E) 54

4 a b 3 ve x + y = 2

ax x ay y bx by

A) 4 B) 6 C) 8 D) 10 E) 12

5 a 3 b 4 ac 21 0 olduğuna goumlre

a b c

if a 3 b 4 ac 21 0 then what is the value

of a b c

a بناء على ذلك 3 b 4 ac 21 0 اذا كان لدينا

a b c

A) -10 B) -9 C) -8 D) -7 E) -6

YOumlS VADİSİ httpstmeyosvadisi

9

6 423 5 3

A) 11012 3 B) 21001 3

C) 10122 3 D) 20011 3

E) 10012 3

7

p 0 16

k 52k 1 p

A) 9 27 2p B) 10 27 2p

C) 13 20 p D) 12 20 p

E) 11 10 p

8

ABCD bir dikdoumlrtgen ve

AD DE CF BF AF 2 10

A (AEF) =

In the figure ABCD is a rectangle If AD DE CF BF AF 2 10 units then

what is the area A(AEF) of the triangle AEF in square units

مستطيل ABCDاذا كان AD DE CF BF AF 2 10

= A (AEF)ماهي مساحة المثلث

A) 8 B) 10 C) 12 D) 14 E) 16

9

fg

1f x 3x 4 fog 13

g x 4x 3

A) 12 B) 16 C) 18 D) 21 E) 24

YOumlS VADİSİ httpstmeyosvadisi

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

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11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

YOumlS VADİSİ httpstmeyosvadisi

Page 5: TASARI ANTALYA

3

9

Şekildeki kuumlp birbirine eş 64 tane kuumlccediluumlk kuumlpten oluşmuştur Oluşan buumlyuumlk kuumlpuumln tuumlm yuumlzeyleri maviye boyansın

The cube in the figure is composed of 64 identical small cubes All sides of the big cube is colored blue

مكعب متساوي ثم تم طلاء 64في الشكل يوجد مكعب تم تقسيمه الى وجوهه باللون الازرق

Uumlccedil yuumlzuuml boyalı kaccedil kuumlccediluumlk kuumlp olur

What is the number of small cubes with three faces colored blue

كم مكعب تظهر لدينا من خلال ثلاثة وجوة للمكعب

A) 16 B) 14 C) 12 D) 10 E) 8

10

A) 334 B) 341 C) 347 D) 401 E) 412

11

2m 3n s 32 m n s

A) -4 B) -2 C) 0 D) 2 E) 4

12

A) 64 B) 69 C) 60 D) 59 E) 76

YOumlS VADİSİ httpstmeyosvadisi

4

13 2 2

A = 4 2

matrisi veriliyor

T TA = B + C B = B C = - C olmak uumlzere B ndash C = (Burada ldquoTrdquo matrisin transpozunu goumlstermektedir)

2 2A = is given

4The matrix

2

If T T

A = B + C B = B C = - C

then what is the matrix B ndash C = (Here ldquoTrdquo stands for the transpose of a matrix)

لتكن المصفوفة 2 2

A = 4 2

T TA = B + C B = B C = - C

) T المصفوفة)يعني منقول = B - Cبناء على ذلك ماهي قيمة

A) 2 5

1 2

B) 1 2

2 1

C) 2 42 2

D) 0 2

2 0

E) 2 3

3 2

14

A) 96 B) 102 C) 108 D) 114 E) 120

15

A) 0 B) 2 C) 4 D) 6 E) 8

16

Yukarıdaki şeklin iccedilinde aşağıdakilerden hangisi yoktur

Wich one of the following does not contained in the above figure

خاطئ او المختلففي الاشكال التالية أي منها هو الشكل ال

YOumlS VADİSİ httpstmeyosvadisi

5

17ve 18 Soruları oumlrnekte verilen ilişkiye goumlre cevaplayınız

Answer the questions 16 and 17 according to the relation given in the example

)16-17للسؤال (اختر الاجابة المناسبة

17

2 2

a c

A) 30 B) 35 C) 40 D) 45 E) 50

18

a b gt 0 a ndash b =

A) 13 B) 11 C) 9 D) 7 E) 5

YOumlS VADİSİ httpstmeyosvadisi

6

19 ve 20 soruları aşağıdaki oumlrneğe goumlre cevaplayınız

Answer the questions 19 and 20 according to the following example

العثور على إجابات بناء على المثال التالي20 - 19 في الأسئلة

Oumlrnek Example

x4 +6 divide3 -33 12 18 6 3

19

+K xK -KA 9 B 56

Yukarıdaki sayı dizisine goumlre A kaccediltır

According to the above number sequence what is the value of A

A في السلسلة الموجودة في الاعلى ماهي قيمة الحرف

A) 2 B) 3 C) 4 D) 5 E) 6

20 Başlangıccedil sayısı A = 8 katsayısı K = 6 olan sayı dizisinde iki toplama ve iki ccedilarpma işlemi yapıldığına goumlre dizinin son (beşinci) terimi en ccedilok kaccedil olabilir

Starting with A = 8 and K = 6 one performs two addition and two multiplaticion What is the largest possible value of the last (fifth) term of the sequence

نقوم باستخدام العدد A = 8نت السلسلة تبدا من قيمة اذا كاK = 6 بالجمع والضرب مرتين متتاليتين ماهي اكبر قيمة للحد الخامس للسلسلة

A) 480 B) 540 C) 720 D) 800 E) 920

YOumlS VADİSİ httpstmeyosvadisi

THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS

1 Bu test szn somut duumlşuumlnme guumlcuumlnuumlzuumloumllccedilmek ccediln hazırlanmıştır

2 Bu testte 40 soru vardır

3 Bu testtek soruların cevapları cevapkacircğıdının Matematk Test ccediln ayrılmışolan kısmına şaretlenecektr

4 Cevaplamaya stedğnz sorudanbaşlayablrsnz Cevaplarınızışaretlerken soru ktapccedilığındak sorunumarası le cevap kacircğıdındak cevapnumarasının aynı olmasına dkkatednz

1 Ths test s desgned to measure yourconcrete reasonng

2 Ths test conssts of 40 questons

3 Please use the approprate part of theanswer sheet for ths secton of thetest namely the Mathematcs Testsecton

4 You can start wth any queston youwant But when markng your answersmake sure that the answer number onthe answer sheet s the same as thequeston number n the test booklet

MATEMATİK TESTİ

MATHEMATICS TEST

NOT ONDALIK KESİRLERİ GOumlSTERMEK İCcedilİN TUumlRKCcedilE METİNLERDE VİRGUumlL () KULLANILIR

NOTE DECIMALS ARE INDICATED BY A COMMA () IN TURKISH

SAMPLE QUESTION BOOKS

YABANCI UYRUKLU OumlĞRENCİ SINAVI

OumlRNEK SORU KİTAPCcedilIĞI

YOumlS VADİSİ httpstmeyosvadisi

8

1 1 1 1

1 1 14 5 6a b c5 4 3

sayılarının

kuumlccediluumlkten buumlyuumlğe doğru sıralaması aşağıdakilerden hangisidir

What is the correct order of the above numbers when they are ordered from the smallest to the largest

الترتيب الصحيح من الصغير الى الكبير للاعداد أي من التالي هو

A) c lt a lt b

B) a lt b lt c

C) b lt c lt a

D) c lt b lt a

E) b lt c lt a

2

a b + b a a+ b

A) a B) b C) a

D) b E) ab

3 x x 2x 4x

2 1 2 1 2 1 2 1 1023 x =

A) 8 B) 7 C) 6 D) 45

E) 54

4 a b 3 ve x + y = 2

ax x ay y bx by

A) 4 B) 6 C) 8 D) 10 E) 12

5 a 3 b 4 ac 21 0 olduğuna goumlre

a b c

if a 3 b 4 ac 21 0 then what is the value

of a b c

a بناء على ذلك 3 b 4 ac 21 0 اذا كان لدينا

a b c

A) -10 B) -9 C) -8 D) -7 E) -6

YOumlS VADİSİ httpstmeyosvadisi

9

6 423 5 3

A) 11012 3 B) 21001 3

C) 10122 3 D) 20011 3

E) 10012 3

7

p 0 16

k 52k 1 p

A) 9 27 2p B) 10 27 2p

C) 13 20 p D) 12 20 p

E) 11 10 p

8

ABCD bir dikdoumlrtgen ve

AD DE CF BF AF 2 10

A (AEF) =

In the figure ABCD is a rectangle If AD DE CF BF AF 2 10 units then

what is the area A(AEF) of the triangle AEF in square units

مستطيل ABCDاذا كان AD DE CF BF AF 2 10

= A (AEF)ماهي مساحة المثلث

A) 8 B) 10 C) 12 D) 14 E) 16

9

fg

1f x 3x 4 fog 13

g x 4x 3

A) 12 B) 16 C) 18 D) 21 E) 24

YOumlS VADİSİ httpstmeyosvadisi

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

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11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

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Page 6: TASARI ANTALYA

4

13 2 2

A = 4 2

matrisi veriliyor

T TA = B + C B = B C = - C olmak uumlzere B ndash C = (Burada ldquoTrdquo matrisin transpozunu goumlstermektedir)

2 2A = is given

4The matrix

2

If T T

A = B + C B = B C = - C

then what is the matrix B ndash C = (Here ldquoTrdquo stands for the transpose of a matrix)

لتكن المصفوفة 2 2

A = 4 2

T TA = B + C B = B C = - C

) T المصفوفة)يعني منقول = B - Cبناء على ذلك ماهي قيمة

A) 2 5

1 2

B) 1 2

2 1

C) 2 42 2

D) 0 2

2 0

E) 2 3

3 2

14

A) 96 B) 102 C) 108 D) 114 E) 120

15

A) 0 B) 2 C) 4 D) 6 E) 8

16

Yukarıdaki şeklin iccedilinde aşağıdakilerden hangisi yoktur

Wich one of the following does not contained in the above figure

خاطئ او المختلففي الاشكال التالية أي منها هو الشكل ال

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5

17ve 18 Soruları oumlrnekte verilen ilişkiye goumlre cevaplayınız

Answer the questions 16 and 17 according to the relation given in the example

)16-17للسؤال (اختر الاجابة المناسبة

17

2 2

a c

A) 30 B) 35 C) 40 D) 45 E) 50

18

a b gt 0 a ndash b =

A) 13 B) 11 C) 9 D) 7 E) 5

YOumlS VADİSİ httpstmeyosvadisi

6

19 ve 20 soruları aşağıdaki oumlrneğe goumlre cevaplayınız

Answer the questions 19 and 20 according to the following example

العثور على إجابات بناء على المثال التالي20 - 19 في الأسئلة

Oumlrnek Example

x4 +6 divide3 -33 12 18 6 3

19

+K xK -KA 9 B 56

Yukarıdaki sayı dizisine goumlre A kaccediltır

According to the above number sequence what is the value of A

A في السلسلة الموجودة في الاعلى ماهي قيمة الحرف

A) 2 B) 3 C) 4 D) 5 E) 6

20 Başlangıccedil sayısı A = 8 katsayısı K = 6 olan sayı dizisinde iki toplama ve iki ccedilarpma işlemi yapıldığına goumlre dizinin son (beşinci) terimi en ccedilok kaccedil olabilir

Starting with A = 8 and K = 6 one performs two addition and two multiplaticion What is the largest possible value of the last (fifth) term of the sequence

نقوم باستخدام العدد A = 8نت السلسلة تبدا من قيمة اذا كاK = 6 بالجمع والضرب مرتين متتاليتين ماهي اكبر قيمة للحد الخامس للسلسلة

A) 480 B) 540 C) 720 D) 800 E) 920

YOumlS VADİSİ httpstmeyosvadisi

THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS

1 Bu test szn somut duumlşuumlnme guumlcuumlnuumlzuumloumllccedilmek ccediln hazırlanmıştır

2 Bu testte 40 soru vardır

3 Bu testtek soruların cevapları cevapkacircğıdının Matematk Test ccediln ayrılmışolan kısmına şaretlenecektr

4 Cevaplamaya stedğnz sorudanbaşlayablrsnz Cevaplarınızışaretlerken soru ktapccedilığındak sorunumarası le cevap kacircğıdındak cevapnumarasının aynı olmasına dkkatednz

1 Ths test s desgned to measure yourconcrete reasonng

2 Ths test conssts of 40 questons

3 Please use the approprate part of theanswer sheet for ths secton of thetest namely the Mathematcs Testsecton

4 You can start wth any queston youwant But when markng your answersmake sure that the answer number onthe answer sheet s the same as thequeston number n the test booklet

MATEMATİK TESTİ

MATHEMATICS TEST

NOT ONDALIK KESİRLERİ GOumlSTERMEK İCcedilİN TUumlRKCcedilE METİNLERDE VİRGUumlL () KULLANILIR

NOTE DECIMALS ARE INDICATED BY A COMMA () IN TURKISH

SAMPLE QUESTION BOOKS

YABANCI UYRUKLU OumlĞRENCİ SINAVI

OumlRNEK SORU KİTAPCcedilIĞI

YOumlS VADİSİ httpstmeyosvadisi

8

1 1 1 1

1 1 14 5 6a b c5 4 3

sayılarının

kuumlccediluumlkten buumlyuumlğe doğru sıralaması aşağıdakilerden hangisidir

What is the correct order of the above numbers when they are ordered from the smallest to the largest

الترتيب الصحيح من الصغير الى الكبير للاعداد أي من التالي هو

A) c lt a lt b

B) a lt b lt c

C) b lt c lt a

D) c lt b lt a

E) b lt c lt a

2

a b + b a a+ b

A) a B) b C) a

D) b E) ab

3 x x 2x 4x

2 1 2 1 2 1 2 1 1023 x =

A) 8 B) 7 C) 6 D) 45

E) 54

4 a b 3 ve x + y = 2

ax x ay y bx by

A) 4 B) 6 C) 8 D) 10 E) 12

5 a 3 b 4 ac 21 0 olduğuna goumlre

a b c

if a 3 b 4 ac 21 0 then what is the value

of a b c

a بناء على ذلك 3 b 4 ac 21 0 اذا كان لدينا

a b c

A) -10 B) -9 C) -8 D) -7 E) -6

YOumlS VADİSİ httpstmeyosvadisi

9

6 423 5 3

A) 11012 3 B) 21001 3

C) 10122 3 D) 20011 3

E) 10012 3

7

p 0 16

k 52k 1 p

A) 9 27 2p B) 10 27 2p

C) 13 20 p D) 12 20 p

E) 11 10 p

8

ABCD bir dikdoumlrtgen ve

AD DE CF BF AF 2 10

A (AEF) =

In the figure ABCD is a rectangle If AD DE CF BF AF 2 10 units then

what is the area A(AEF) of the triangle AEF in square units

مستطيل ABCDاذا كان AD DE CF BF AF 2 10

= A (AEF)ماهي مساحة المثلث

A) 8 B) 10 C) 12 D) 14 E) 16

9

fg

1f x 3x 4 fog 13

g x 4x 3

A) 12 B) 16 C) 18 D) 21 E) 24

YOumlS VADİSİ httpstmeyosvadisi

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

YOumlS VADİSİ httpstmeyosvadisi

11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

YOumlS VADİSİ httpstmeyosvadisi

Page 7: TASARI ANTALYA

5

17ve 18 Soruları oumlrnekte verilen ilişkiye goumlre cevaplayınız

Answer the questions 16 and 17 according to the relation given in the example

)16-17للسؤال (اختر الاجابة المناسبة

17

2 2

a c

A) 30 B) 35 C) 40 D) 45 E) 50

18

a b gt 0 a ndash b =

A) 13 B) 11 C) 9 D) 7 E) 5

YOumlS VADİSİ httpstmeyosvadisi

6

19 ve 20 soruları aşağıdaki oumlrneğe goumlre cevaplayınız

Answer the questions 19 and 20 according to the following example

العثور على إجابات بناء على المثال التالي20 - 19 في الأسئلة

Oumlrnek Example

x4 +6 divide3 -33 12 18 6 3

19

+K xK -KA 9 B 56

Yukarıdaki sayı dizisine goumlre A kaccediltır

According to the above number sequence what is the value of A

A في السلسلة الموجودة في الاعلى ماهي قيمة الحرف

A) 2 B) 3 C) 4 D) 5 E) 6

20 Başlangıccedil sayısı A = 8 katsayısı K = 6 olan sayı dizisinde iki toplama ve iki ccedilarpma işlemi yapıldığına goumlre dizinin son (beşinci) terimi en ccedilok kaccedil olabilir

Starting with A = 8 and K = 6 one performs two addition and two multiplaticion What is the largest possible value of the last (fifth) term of the sequence

نقوم باستخدام العدد A = 8نت السلسلة تبدا من قيمة اذا كاK = 6 بالجمع والضرب مرتين متتاليتين ماهي اكبر قيمة للحد الخامس للسلسلة

A) 480 B) 540 C) 720 D) 800 E) 920

YOumlS VADİSİ httpstmeyosvadisi

THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS

1 Bu test szn somut duumlşuumlnme guumlcuumlnuumlzuumloumllccedilmek ccediln hazırlanmıştır

2 Bu testte 40 soru vardır

3 Bu testtek soruların cevapları cevapkacircğıdının Matematk Test ccediln ayrılmışolan kısmına şaretlenecektr

4 Cevaplamaya stedğnz sorudanbaşlayablrsnz Cevaplarınızışaretlerken soru ktapccedilığındak sorunumarası le cevap kacircğıdındak cevapnumarasının aynı olmasına dkkatednz

1 Ths test s desgned to measure yourconcrete reasonng

2 Ths test conssts of 40 questons

3 Please use the approprate part of theanswer sheet for ths secton of thetest namely the Mathematcs Testsecton

4 You can start wth any queston youwant But when markng your answersmake sure that the answer number onthe answer sheet s the same as thequeston number n the test booklet

MATEMATİK TESTİ

MATHEMATICS TEST

NOT ONDALIK KESİRLERİ GOumlSTERMEK İCcedilİN TUumlRKCcedilE METİNLERDE VİRGUumlL () KULLANILIR

NOTE DECIMALS ARE INDICATED BY A COMMA () IN TURKISH

SAMPLE QUESTION BOOKS

YABANCI UYRUKLU OumlĞRENCİ SINAVI

OumlRNEK SORU KİTAPCcedilIĞI

YOumlS VADİSİ httpstmeyosvadisi

8

1 1 1 1

1 1 14 5 6a b c5 4 3

sayılarının

kuumlccediluumlkten buumlyuumlğe doğru sıralaması aşağıdakilerden hangisidir

What is the correct order of the above numbers when they are ordered from the smallest to the largest

الترتيب الصحيح من الصغير الى الكبير للاعداد أي من التالي هو

A) c lt a lt b

B) a lt b lt c

C) b lt c lt a

D) c lt b lt a

E) b lt c lt a

2

a b + b a a+ b

A) a B) b C) a

D) b E) ab

3 x x 2x 4x

2 1 2 1 2 1 2 1 1023 x =

A) 8 B) 7 C) 6 D) 45

E) 54

4 a b 3 ve x + y = 2

ax x ay y bx by

A) 4 B) 6 C) 8 D) 10 E) 12

5 a 3 b 4 ac 21 0 olduğuna goumlre

a b c

if a 3 b 4 ac 21 0 then what is the value

of a b c

a بناء على ذلك 3 b 4 ac 21 0 اذا كان لدينا

a b c

A) -10 B) -9 C) -8 D) -7 E) -6

YOumlS VADİSİ httpstmeyosvadisi

9

6 423 5 3

A) 11012 3 B) 21001 3

C) 10122 3 D) 20011 3

E) 10012 3

7

p 0 16

k 52k 1 p

A) 9 27 2p B) 10 27 2p

C) 13 20 p D) 12 20 p

E) 11 10 p

8

ABCD bir dikdoumlrtgen ve

AD DE CF BF AF 2 10

A (AEF) =

In the figure ABCD is a rectangle If AD DE CF BF AF 2 10 units then

what is the area A(AEF) of the triangle AEF in square units

مستطيل ABCDاذا كان AD DE CF BF AF 2 10

= A (AEF)ماهي مساحة المثلث

A) 8 B) 10 C) 12 D) 14 E) 16

9

fg

1f x 3x 4 fog 13

g x 4x 3

A) 12 B) 16 C) 18 D) 21 E) 24

YOumlS VADİSİ httpstmeyosvadisi

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

YOumlS VADİSİ httpstmeyosvadisi

11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

YOumlS VADİSİ httpstmeyosvadisi

Page 8: TASARI ANTALYA

6

19 ve 20 soruları aşağıdaki oumlrneğe goumlre cevaplayınız

Answer the questions 19 and 20 according to the following example

العثور على إجابات بناء على المثال التالي20 - 19 في الأسئلة

Oumlrnek Example

x4 +6 divide3 -33 12 18 6 3

19

+K xK -KA 9 B 56

Yukarıdaki sayı dizisine goumlre A kaccediltır

According to the above number sequence what is the value of A

A في السلسلة الموجودة في الاعلى ماهي قيمة الحرف

A) 2 B) 3 C) 4 D) 5 E) 6

20 Başlangıccedil sayısı A = 8 katsayısı K = 6 olan sayı dizisinde iki toplama ve iki ccedilarpma işlemi yapıldığına goumlre dizinin son (beşinci) terimi en ccedilok kaccedil olabilir

Starting with A = 8 and K = 6 one performs two addition and two multiplaticion What is the largest possible value of the last (fifth) term of the sequence

نقوم باستخدام العدد A = 8نت السلسلة تبدا من قيمة اذا كاK = 6 بالجمع والضرب مرتين متتاليتين ماهي اكبر قيمة للحد الخامس للسلسلة

A) 480 B) 540 C) 720 D) 800 E) 920

YOumlS VADİSİ httpstmeyosvadisi

THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS

1 Bu test szn somut duumlşuumlnme guumlcuumlnuumlzuumloumllccedilmek ccediln hazırlanmıştır

2 Bu testte 40 soru vardır

3 Bu testtek soruların cevapları cevapkacircğıdının Matematk Test ccediln ayrılmışolan kısmına şaretlenecektr

4 Cevaplamaya stedğnz sorudanbaşlayablrsnz Cevaplarınızışaretlerken soru ktapccedilığındak sorunumarası le cevap kacircğıdındak cevapnumarasının aynı olmasına dkkatednz

1 Ths test s desgned to measure yourconcrete reasonng

2 Ths test conssts of 40 questons

3 Please use the approprate part of theanswer sheet for ths secton of thetest namely the Mathematcs Testsecton

4 You can start wth any queston youwant But when markng your answersmake sure that the answer number onthe answer sheet s the same as thequeston number n the test booklet

MATEMATİK TESTİ

MATHEMATICS TEST

NOT ONDALIK KESİRLERİ GOumlSTERMEK İCcedilİN TUumlRKCcedilE METİNLERDE VİRGUumlL () KULLANILIR

NOTE DECIMALS ARE INDICATED BY A COMMA () IN TURKISH

SAMPLE QUESTION BOOKS

YABANCI UYRUKLU OumlĞRENCİ SINAVI

OumlRNEK SORU KİTAPCcedilIĞI

YOumlS VADİSİ httpstmeyosvadisi

8

1 1 1 1

1 1 14 5 6a b c5 4 3

sayılarının

kuumlccediluumlkten buumlyuumlğe doğru sıralaması aşağıdakilerden hangisidir

What is the correct order of the above numbers when they are ordered from the smallest to the largest

الترتيب الصحيح من الصغير الى الكبير للاعداد أي من التالي هو

A) c lt a lt b

B) a lt b lt c

C) b lt c lt a

D) c lt b lt a

E) b lt c lt a

2

a b + b a a+ b

A) a B) b C) a

D) b E) ab

3 x x 2x 4x

2 1 2 1 2 1 2 1 1023 x =

A) 8 B) 7 C) 6 D) 45

E) 54

4 a b 3 ve x + y = 2

ax x ay y bx by

A) 4 B) 6 C) 8 D) 10 E) 12

5 a 3 b 4 ac 21 0 olduğuna goumlre

a b c

if a 3 b 4 ac 21 0 then what is the value

of a b c

a بناء على ذلك 3 b 4 ac 21 0 اذا كان لدينا

a b c

A) -10 B) -9 C) -8 D) -7 E) -6

YOumlS VADİSİ httpstmeyosvadisi

9

6 423 5 3

A) 11012 3 B) 21001 3

C) 10122 3 D) 20011 3

E) 10012 3

7

p 0 16

k 52k 1 p

A) 9 27 2p B) 10 27 2p

C) 13 20 p D) 12 20 p

E) 11 10 p

8

ABCD bir dikdoumlrtgen ve

AD DE CF BF AF 2 10

A (AEF) =

In the figure ABCD is a rectangle If AD DE CF BF AF 2 10 units then

what is the area A(AEF) of the triangle AEF in square units

مستطيل ABCDاذا كان AD DE CF BF AF 2 10

= A (AEF)ماهي مساحة المثلث

A) 8 B) 10 C) 12 D) 14 E) 16

9

fg

1f x 3x 4 fog 13

g x 4x 3

A) 12 B) 16 C) 18 D) 21 E) 24

YOumlS VADİSİ httpstmeyosvadisi

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

YOumlS VADİSİ httpstmeyosvadisi

11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

YOumlS VADİSİ httpstmeyosvadisi

Page 9: TASARI ANTALYA

THE ENTRANCE EXAMINATION FOR FOREIGN STUDENTS

1 Bu test szn somut duumlşuumlnme guumlcuumlnuumlzuumloumllccedilmek ccediln hazırlanmıştır

2 Bu testte 40 soru vardır

3 Bu testtek soruların cevapları cevapkacircğıdının Matematk Test ccediln ayrılmışolan kısmına şaretlenecektr

4 Cevaplamaya stedğnz sorudanbaşlayablrsnz Cevaplarınızışaretlerken soru ktapccedilığındak sorunumarası le cevap kacircğıdındak cevapnumarasının aynı olmasına dkkatednz

1 Ths test s desgned to measure yourconcrete reasonng

2 Ths test conssts of 40 questons

3 Please use the approprate part of theanswer sheet for ths secton of thetest namely the Mathematcs Testsecton

4 You can start wth any queston youwant But when markng your answersmake sure that the answer number onthe answer sheet s the same as thequeston number n the test booklet

MATEMATİK TESTİ

MATHEMATICS TEST

NOT ONDALIK KESİRLERİ GOumlSTERMEK İCcedilİN TUumlRKCcedilE METİNLERDE VİRGUumlL () KULLANILIR

NOTE DECIMALS ARE INDICATED BY A COMMA () IN TURKISH

SAMPLE QUESTION BOOKS

YABANCI UYRUKLU OumlĞRENCİ SINAVI

OumlRNEK SORU KİTAPCcedilIĞI

YOumlS VADİSİ httpstmeyosvadisi

8

1 1 1 1

1 1 14 5 6a b c5 4 3

sayılarının

kuumlccediluumlkten buumlyuumlğe doğru sıralaması aşağıdakilerden hangisidir

What is the correct order of the above numbers when they are ordered from the smallest to the largest

الترتيب الصحيح من الصغير الى الكبير للاعداد أي من التالي هو

A) c lt a lt b

B) a lt b lt c

C) b lt c lt a

D) c lt b lt a

E) b lt c lt a

2

a b + b a a+ b

A) a B) b C) a

D) b E) ab

3 x x 2x 4x

2 1 2 1 2 1 2 1 1023 x =

A) 8 B) 7 C) 6 D) 45

E) 54

4 a b 3 ve x + y = 2

ax x ay y bx by

A) 4 B) 6 C) 8 D) 10 E) 12

5 a 3 b 4 ac 21 0 olduğuna goumlre

a b c

if a 3 b 4 ac 21 0 then what is the value

of a b c

a بناء على ذلك 3 b 4 ac 21 0 اذا كان لدينا

a b c

A) -10 B) -9 C) -8 D) -7 E) -6

YOumlS VADİSİ httpstmeyosvadisi

9

6 423 5 3

A) 11012 3 B) 21001 3

C) 10122 3 D) 20011 3

E) 10012 3

7

p 0 16

k 52k 1 p

A) 9 27 2p B) 10 27 2p

C) 13 20 p D) 12 20 p

E) 11 10 p

8

ABCD bir dikdoumlrtgen ve

AD DE CF BF AF 2 10

A (AEF) =

In the figure ABCD is a rectangle If AD DE CF BF AF 2 10 units then

what is the area A(AEF) of the triangle AEF in square units

مستطيل ABCDاذا كان AD DE CF BF AF 2 10

= A (AEF)ماهي مساحة المثلث

A) 8 B) 10 C) 12 D) 14 E) 16

9

fg

1f x 3x 4 fog 13

g x 4x 3

A) 12 B) 16 C) 18 D) 21 E) 24

YOumlS VADİSİ httpstmeyosvadisi

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

YOumlS VADİSİ httpstmeyosvadisi

11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

YOumlS VADİSİ httpstmeyosvadisi

Page 10: TASARI ANTALYA

8

1 1 1 1

1 1 14 5 6a b c5 4 3

sayılarının

kuumlccediluumlkten buumlyuumlğe doğru sıralaması aşağıdakilerden hangisidir

What is the correct order of the above numbers when they are ordered from the smallest to the largest

الترتيب الصحيح من الصغير الى الكبير للاعداد أي من التالي هو

A) c lt a lt b

B) a lt b lt c

C) b lt c lt a

D) c lt b lt a

E) b lt c lt a

2

a b + b a a+ b

A) a B) b C) a

D) b E) ab

3 x x 2x 4x

2 1 2 1 2 1 2 1 1023 x =

A) 8 B) 7 C) 6 D) 45

E) 54

4 a b 3 ve x + y = 2

ax x ay y bx by

A) 4 B) 6 C) 8 D) 10 E) 12

5 a 3 b 4 ac 21 0 olduğuna goumlre

a b c

if a 3 b 4 ac 21 0 then what is the value

of a b c

a بناء على ذلك 3 b 4 ac 21 0 اذا كان لدينا

a b c

A) -10 B) -9 C) -8 D) -7 E) -6

YOumlS VADİSİ httpstmeyosvadisi

9

6 423 5 3

A) 11012 3 B) 21001 3

C) 10122 3 D) 20011 3

E) 10012 3

7

p 0 16

k 52k 1 p

A) 9 27 2p B) 10 27 2p

C) 13 20 p D) 12 20 p

E) 11 10 p

8

ABCD bir dikdoumlrtgen ve

AD DE CF BF AF 2 10

A (AEF) =

In the figure ABCD is a rectangle If AD DE CF BF AF 2 10 units then

what is the area A(AEF) of the triangle AEF in square units

مستطيل ABCDاذا كان AD DE CF BF AF 2 10

= A (AEF)ماهي مساحة المثلث

A) 8 B) 10 C) 12 D) 14 E) 16

9

fg

1f x 3x 4 fog 13

g x 4x 3

A) 12 B) 16 C) 18 D) 21 E) 24

YOumlS VADİSİ httpstmeyosvadisi

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

YOumlS VADİSİ httpstmeyosvadisi

11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

YOumlS VADİSİ httpstmeyosvadisi

Page 11: TASARI ANTALYA

9

6 423 5 3

A) 11012 3 B) 21001 3

C) 10122 3 D) 20011 3

E) 10012 3

7

p 0 16

k 52k 1 p

A) 9 27 2p B) 10 27 2p

C) 13 20 p D) 12 20 p

E) 11 10 p

8

ABCD bir dikdoumlrtgen ve

AD DE CF BF AF 2 10

A (AEF) =

In the figure ABCD is a rectangle If AD DE CF BF AF 2 10 units then

what is the area A(AEF) of the triangle AEF in square units

مستطيل ABCDاذا كان AD DE CF BF AF 2 10

= A (AEF)ماهي مساحة المثلث

A) 8 B) 10 C) 12 D) 14 E) 16

9

fg

1f x 3x 4 fog 13

g x 4x 3

A) 12 B) 16 C) 18 D) 21 E) 24

YOumlS VADİSİ httpstmeyosvadisi

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

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11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

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12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

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Page 12: TASARI ANTALYA

10

10

Grafiği verilen paraboluumln denklemi aşağıdakilerden hangisidir

What is the equation of the parabola whose graph is given in the figure

أي هو يمثل معادلة للقطع المكافئمن الرسم البياني التالي

A) 2

x 72x3 3

B) 2x 6x 7

C) 2x 6x 7 D) 2

x 6x 7

E) 2

x 33x3 7

11

x0y y0x 00x 00y

A) 89 B) 90 C) 91 D) 99 E) 101

12

f x sin xg x

f 1

A) 2 B) C) 0 D) E) 2

13

44 44 444

Sonsuz kesirinin değeri kaccediltır

What is the value of the continued fraction above

في الاعلىاوجد ناتج العملية

A) 3 B) 13

C) 2 D) 12

E) 12

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11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

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Page 13: TASARI ANTALYA

11

14 A B C D olmak uumlzere DC CB BA =

If A B C D then which one of the following is equivalent to the set DC CB BA =

Aذا كان لدينا B C D أي من التالي هو الصحيح

DC CB BA =

A) DA B) DB C) DC

D) CB E) BA

15 arctanx arccot 4x ise x rsquoin alabileceği değerler aşağıdakilerden hangisinde doğru olarak verilmiştir

Which one of the following contains the correct values of x if arctanx arccot 4x

arctanxاذا كان arccot 4x ماهي القيم التي يمكن ان تاخذهاx

A) 1 12 2

B) 11 C) 01

D) 1 13 3

E) 1 12 2

16

2 2xf x sin x e ise f h f

2 2 lim hh 0

limitinin değeri kaccediltır

If 2 2xf x sin x e then what is the value of the

limit f h f

2 2 lim hh 0

اذا 2 2xf x sin x e كان التابعf(x) ماهي قيمة النهاية

f h f2 2 lim hh 0

A) 2e

B) e

C) 2

e

D) 2e

E) e

17

dxf x

2x 1 3x 1

f 0 5 ise f 2

A) 4 B) 5 C) 6 D) 7 E) 8

YOumlS VADİSİ httpstmeyosvadisi

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

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Page 14: TASARI ANTALYA

12

18 a log 10 b log 40

2 5 ise a nın b cinsinden

ifadesi aşağıdakilerden hangisidir

What is the value of a in terms of b if a log 10 b log 40

2 5

bدلالة ب aكتب ااذا كان لدينا

A) b 32 B) 3

b 2 C) b 2

b 1

D) b 1b 2

E) b 3b 2

19

2

f IR IR x 1 x 2

x x 12f x sec x 2 x 5

x 2 x 5

fonksiyonu kaccedil noktada suumlreksizdir

At how many points the function f IR IR

is discontinuous

f(x)اذا كان التابع

في أي من النقاط التالي يكون التابع غير مستمر

A) 1 B) 2 C) 3 D) 4 E) 5

20

ABC bir eşkenar uumlccedilgen ldquoOrdquo uumlccedilgenin ağırlık merkezi ve ccedilemberin merkezidir

AB 12 cm

AD BG CH

AD 3 EF

ise taralı alan kaccedil cm2 dir

ABC is an equilateral triangle AB 12 cm ldquoOrdquo is

the centroid of the triangle ABC and the center of the circle at the same time If AD BG CH and

AD 3 EF then what is the shaded area in

square centimeters

ABمثلث متساوي الاضلاع ABCاذا كان 12 cm rdquoOldquo كز مر

ثقل المثلث وهي مركز الدائرة التي تحقق AD BG CH

AD 3 EF

احسب مساحة المنطقة المظللة

A) 3 122

B) 3 12 3

4

C) 36 3 D) 36 33

E) 12 3

YOumlS VADİSİ httpstmeyosvadisi