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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
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
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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
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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
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
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
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
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
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
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
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
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
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
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
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
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
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