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Ankara Üniversitesi Ölçme ve Değerlendirme Uygulama ve Araştırma Merkezi
(ANKÜDEM)
AYÖS TESTİNDE YER ALAN SORULAR
NE ÖLÇÜYOR?
Ankara Üniversitesi Yabancı Uyruklu Öğrenci Sınavı (AYÖS) testinde yer alan sorular, sözel anlatımdan yani dilden ve okulların ders programlarından bağımsız olarak hazırlanmaktadır. AYÖS testinin genel adı “Temel Öğrenme Becerileri Testi”dir. Testte yer alan sorular soyut düşünmeyi, analitik düşünmeyi ile akıl yürütme gücünü ölçmeyi amaçlamaktadır. Bunun yanında testte, sayısal becerileri, temel matematik ve geometri ile ilgili bilgi ve becerileri kullanmayı gerektiren sorular da bulunmaktadır. Soruların yönergesi Türkçe ve İngilizce olarak hazırlanmaktadır.
Aşağıda AYÖS testinde yer alan soru örneklerine verilmiştir.
Ankara Üniversitesi Ölçme ve Değerlendirme Uygulama ve Araştırma Merkezi
(ANKÜDEM)
Örnek 1:Örnek 1:
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
���YH����VRUXODUGD��,��JUXSWDNL�V|]F�NOHULQ�KDUÀH-UL�ELUHU�UDNDPOD�J|VWHULOHUHN�,,��JUXSWDNL�VD\ÕODU�HOGH� HGLOPLúWLU�� +DUÀHU� IDUNOÕ� VRUXODUGD� IDUNOÕ�UDNDPODUOD� J|VWHULOPLú� RODELOLU�� +HU� VRUXGD��VRUX�LúDUHWL\OH�EHOLUWLOHQ�V|]F�÷�Q�KDQJL�VD\Õ\OD�J|VWHULOGL÷LQL�EXOXQX]�
In questions 1 and 2, the numbers in group II stand for the words in group I, when each letter has EHHQ� FRGHG� ZLWK� D� VSHFL¿F� QXPHUDO�� 7KH� OHWWHUV�may have been coded with different numerals LQ� GLIIHUHQW� TXHVWLRQV�� ,Q� HDFK� TXHVWLRQ� ¿QG� WKH�number which corresponds to the word indicated E\�WKH�TXHVWLRQ�PDUN�
3. ve 4. sorularda, I. gruptaki kümelerin úHNLOOHUL�ELUHU�UDNDPOD�J|VWHULOHUHN�,,��JUXSWDNL�VD\ÕODU�HOGH�HGLOPLúWLU��6RUX�LúDUHWL\OH�EHOLUWLOHQ�N�PHQLQ�KDQJL�VD\Õ\OD�J|VWHULOGL÷LQL�EXOXQX]��
In questions 3 and 4, the numbers in group II stand IRU�WKH�VHWV�RI�¿JXUHV�LQ�JURXS�,��ZKHQ�HDFK�¿JXUH�KDV� EHHQ� FRGHG�ZLWK� D� VSHFL¿F� QXPHUDO�� )LQG� WKH�QXPEHU�ZKLFK�FRUUHVSRQGV�WR�WKH�VHW�RI�WKH�¿JXUHV�LQGLFDWHG�E\�WKH�TXHVWLRQ�PDUN�
4261 5314 1623
4265 1354
$�.�/�ø� ��"
1. I. II.
3. I. II.
(�5�ø�.
.�ø�5�$
K A L E
L A K E
(�5�ø�/
A) 3156 B) 3425 C) 4125
D) 6321 E) 6351
A) 3124 B) 4156 C) 4215
D) 5263 E) 5364
2613 3261 1435
6532 4261
7�(�0�$� ��"
2. I. II.
K A M U
A M U T
T A M U
U K T E
M E T A
A) 6312 B) 3562 C) 3421
D) 2431 E) 1536
4. I. II.
A) 2135 B) 5314 C) 5431
D) 6213 E) 6425
2
2534 4651 2546
6312 1234
1324 4561 5213
3645 6152
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
���YH����VRUXODUGD��,��JUXSWDNL�V|]F�NOHULQ�KDUÀH-UL�ELUHU�UDNDPOD�J|VWHULOHUHN�,,��JUXSWDNL�VD\ÕODU�HOGH� HGLOPLúWLU�� +DUÀHU� IDUNOÕ� VRUXODUGD� IDUNOÕ�UDNDPODUOD� J|VWHULOPLú� RODELOLU�� +HU� VRUXGD��VRUX�LúDUHWL\OH�EHOLUWLOHQ�V|]F�÷�Q�KDQJL�VD\Õ\OD�J|VWHULOGL÷LQL�EXOXQX]�
In questions 1 and 2, the numbers in group II stand for the words in group I, when each letter has EHHQ� FRGHG� ZLWK� D� VSHFL¿F� QXPHUDO�� 7KH� OHWWHUV�may have been coded with different numerals LQ� GLIIHUHQW� TXHVWLRQV�� ,Q� HDFK� TXHVWLRQ� ¿QG� WKH�number which corresponds to the word indicated E\�WKH�TXHVWLRQ�PDUN�
3. ve 4. sorularda, I. gruptaki kümelerin úHNLOOHUL�ELUHU�UDNDPOD�J|VWHULOHUHN�,,��JUXSWDNL�VD\ÕODU�HOGH�HGLOPLúWLU��6RUX�LúDUHWL\OH�EHOLUWLOHQ�N�PHQLQ�KDQJL�VD\Õ\OD�J|VWHULOGL÷LQL�EXOXQX]��
In questions 3 and 4, the numbers in group II stand IRU�WKH�VHWV�RI�¿JXUHV�LQ�JURXS�,��ZKHQ�HDFK�¿JXUH�KDV� EHHQ� FRGHG�ZLWK� D� VSHFL¿F� QXPHUDO�� )LQG� WKH�QXPEHU�ZKLFK�FRUUHVSRQGV�WR�WKH�VHW�RI�WKH�¿JXUHV�LQGLFDWHG�E\�WKH�TXHVWLRQ�PDUN�
4261 5314 1623
4265 1354
$�.�/�ø� ��"
1. I. II.
3. I. II.
(�5�ø�.
.�ø�5�$
K A L E
L A K E
(�5�ø�/
A) 3156 B) 3425 C) 4125
D) 6321 E) 6351
A) 3124 B) 4156 C) 4215
D) 5263 E) 5364
2613 3261 1435
6532 4261
7�(�0�$� ��"
2. I. II.
K A M U
A M U T
T A M U
U K T E
M E T A
A) 6312 B) 3562 C) 3421
D) 2431 E) 1536
4. I. II.
A) 2135 B) 5314 C) 5431
D) 6213 E) 6425
2
2534 4651 2546
6312 1234
1324 4561 5213
3645 6152
Ankara Üniversitesi Ölçme ve Değerlendirme Uygulama ve Araştırma Merkezi
(ANKÜDEM)
Örnek 2:
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
9.
4
,�YH�,,��\XNDUÕGDNL�WDEORQXQ�IDUNOÕ�ELUHU�SDUoDVÕGÕU��%XQD�J|UH��,,�GHNL�0�YH�1�QLQ�\HULQH�DúD÷ÕGDNLOHUGHQ�KDQJLVL�JHOPHOLGLU"
,�DQG�,,�DUH�GLIIHUHQW�SDUWV�RI�WKH�¿JXUH�PDWUL[�DERYH��$FFRUGLQJO\��ZKLFK�RI�WKH�IROORZLQJ�combinations should replace M and N in II?
10.��� ±� ���� VRUXODUGD� KHU� KDUI� ELUELULQGHQ� IDUNOÕ�ELU� úHNOH� NDUúÕOÕN� JHOPHNWHGLU�� +DUÀHU� IDUNOÕ�VRUXODUGD�IDUNOÕ�úHNLOOHUOH�J|VWHULOPLú�RODELOLU�
,Q� TXHVWLRQV� �� ±� ���� WKHUH� LV� D� GLIIHUHQW� ¿JXUH�UHSUHVHQWHG� E\� HDFK� OHWWHU�� 7KH� OHWWHUV� PD\�UHSUHVHQW�GLIIHUHQW�¿JXUHV�LQ�GLIIHUHQW�TXHVWLRQV�
A)
B)
C)
D)
E)
,�YH�,,��\XNDUÕGDNL�WDEORQXQ�IDUNOÕ�ELUHU�SDUoDVÕGÕU��%XQD�J|UH��,,�GHNL�0�YH�1�QLQ�\HULQH�DúD÷ÕGDNLOHUGHQ�KDQJLVL�JHOPHOLGLU"
,�DQG�,,�DUH�GLIIHUHQW�SDUWV�RI�WKH�¿JXUH�PDWUL[�DERYH��$FFRUGLQJO\��ZKLFK�RI�WKH�IROORZLQJ�combinations should replace M and N in II?
A)
B)
C)
D)
E) �����0�������������1
��0�������������1
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
9.
4
,�YH�,,��\XNDUÕGDNL�WDEORQXQ�IDUNOÕ�ELUHU�SDUoDVÕGÕU��%XQD�J|UH��,,�GHNL�0�YH�1�QLQ�\HULQH�DúD÷ÕGDNLOHUGHQ�KDQJLVL�JHOPHOLGLU"
,�DQG�,,�DUH�GLIIHUHQW�SDUWV�RI�WKH�¿JXUH�PDWUL[�DERYH��$FFRUGLQJO\��ZKLFK�RI�WKH�IROORZLQJ�combinations should replace M and N in II?
10.��� ±� ���� VRUXODUGD� KHU� KDUI� ELUELULQGHQ� IDUNOÕ�ELU� úHNOH� NDUúÕOÕN� JHOPHNWHGLU�� +DUÀHU� IDUNOÕ�VRUXODUGD�IDUNOÕ�úHNLOOHUOH�J|VWHULOPLú�RODELOLU�
,Q� TXHVWLRQV� �� ±� ���� WKHUH� LV� D� GLIIHUHQW� ¿JXUH�UHSUHVHQWHG� E\� HDFK� OHWWHU�� 7KH� OHWWHUV� PD\�UHSUHVHQW�GLIIHUHQW�¿JXUHV�LQ�GLIIHUHQW�TXHVWLRQV�
A)
B)
C)
D)
E)
,�YH�,,��\XNDUÕGDNL�WDEORQXQ�IDUNOÕ�ELUHU�SDUoDVÕGÕU��%XQD�J|UH��,,�GHNL�0�YH�1�QLQ�\HULQH�DúD÷ÕGDNLOHUGHQ�KDQJLVL�JHOPHOLGLU"
,�DQG�,,�DUH�GLIIHUHQW�SDUWV�RI�WKH�¿JXUH�PDWUL[�DERYH��$FFRUGLQJO\��ZKLFK�RI�WKH�IROORZLQJ�combinations should replace M and N in II?
A)
B)
C)
D)
E) �����0�������������1
��0�������������1
Ankara Üniversitesi Ölçme ve Değerlendirme Uygulama ve Araştırma Merkezi
(ANKÜDEM)
Örnek 3:
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
13.
6
����±�����VRUXODUGD�YHULOHQ�SDUoDODU�NXOODQÕODUDN�ROXúWXUXODQ�úHNOL�EXOXQX]�
,Q�TXHVWLRQV����±�����¿QG�WKH�¿JXUH�ZKLFK�LV�IRUPHG�XVLQJ�JLYHQ�WKH�IUDJPHQWV�
A) B) C)
D) E)
14.
A) B)
C) D)
E)
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
15. 16.
A) B) C) A) B) C)
D) E) D) E)
7
Ankara Üniversitesi Ölçme ve Değerlendirme Uygulama ve Araştırma Merkezi
(ANKÜDEM)
Örnek 4:
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
29.
���� ±� ���� VRUXODUGD�� YHULOHQ� úHNLO� GL]LVLQGH�VRUX�LúDUHWLQLQ�\HULQH�JHWLULOPHVL�JHUHNHQ�úHNOL�bulunuz.
,Q� TXHVWLRQV� ��� ±� ���� ¿QG� WKH� ¿JXUH� ZKLFK� WKH�TXHVWLRQ� PDUN� VWDQGV� IRU� LQ� WKH� JLYHQ� ¿JXUH�VHTXHQFH�
D) E)
A) B) C)
14
30.
D) E)
A) B) C) I. II. III. IV. V.
I. II. III. IV. 2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
29.
���� ±� ���� VRUXODUGD�� YHULOHQ� úHNLO� GL]LVLQGH�VRUX�LúDUHWLQLQ�\HULQH�JHWLULOPHVL�JHUHNHQ�úHNOL�bulunuz.
,Q� TXHVWLRQV� ��� ±� ���� ¿QG� WKH� ¿JXUH� ZKLFK� WKH�TXHVWLRQ� PDUN� VWDQGV� IRU� LQ� WKH� JLYHQ� ¿JXUH�VHTXHQFH�
D) E)
A) B) C)
14
30.
D) E)
A) B) C) I. II. III. IV. V.
I. II. III. IV.
Ankara Üniversitesi Ölçme ve Değerlendirme Uygulama ve Araştırma Merkezi
(ANKÜDEM)
Örnek 5:
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
17
35.
����±�����VRUXODUGD��,��VDWÕUGD�EHOLUOHQHQ�LOLúNL\H�J|UH� ,,�� VDWÕUÕ� KDQJL� úHNOLQ� WDPDPODGÕ÷ÕQÕ�bulunuz.
,Q�TXHVWLRQV����±�����¿QG�WKH�¿JXUH�ZKLFK�FRPSOHWHV�row II in accordance with the relationship HVWDEOLVKHG�LQ�URZ�,�
D) E)
A) B) C)
I.
II.
36.
D) E)
A) B) C)
I.
II.
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
17
35.
����±�����VRUXODUGD��,��VDWÕUGD�EHOLUOHQHQ�LOLúNL\H�J|UH� ,,�� VDWÕUÕ� KDQJL� úHNOLQ� WDPDPODGÕ÷ÕQÕ�bulunuz.
,Q�TXHVWLRQV����±�����¿QG�WKH�¿JXUH�ZKLFK�FRPSOHWHV�row II in accordance with the relationship HVWDEOLVKHG�LQ�URZ�,�
D) E)
A) B) C)
I.
II.
36.
D) E)
A) B) C)
I.
II.
Ankara Üniversitesi Ölçme ve Değerlendirme Uygulama ve Araştırma Merkezi
(ANKÜDEM)
Örnek 6:
Örnek 7:
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
41.
C) D)
A) B)
20
E)
g51(.
EXAMPLE
���� ±� ���� VRUXODUÕ� |UQHNWH� YHULOHQ� LOLúNL\H� J|UH�FHYDSOD\ÕQÕ]�
,Q� TXHVWLRQV� ��� ±� ���� ¿QG� WKH� FRUUHFW� DQVZHU� LQ�accordance with the relationship established in the H[DPSOH�EHORZ�
42.
A) 15 B) 17 C) 19 D) 21 E) 23
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
21
44.
A) 26 B) 28 C) 30 D) 32 E) 36
45.
A) 35 B) 37 C) 39 D) 41 E) 43
43.
A) 18 B) 20 C) 22 D) 24 E) 262011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
5.
A) 4 B) 5 C) 7 D) 8 E) 9
6.
3
D� �"
<XNDUÕGDNL�WRSODPD�WDEORVXQGD�D��E�YH�F�KDUÀHUL�SR]LWLI�ELUHU�VD\ÕQÕQ�\HULQH�NXOODQÕOPÕúWÕU��%XQD�J|UH��D�NDoWÕU"
In the addition table above, the letters a, b and c HDFK�VWDQG�IRU�D�SRVLWLYH�QXPEHU��$FFRUGLQJO\��ZKDW�is the value of a?
<XNDUÕGDNL�oDUSPD�WDEORVXQGD�D��E�YH�F�KDUÀHUL�SR]LWLI�ELUHU�VD\ÕQÕQ�\HULQH�NXOODQÕOPÕúWÕU��%XQD�J|UH��E�NDoWÕU"
In the multiplication table above, the letters a, b and F�HDFK�VWDQG�IRU�D�SRVLWLYH�QXPEHU��$FFRUGLQJO\��what is the value of b?
E� �"
A) 3 B) 4 C) 5 D) 6 E) 8
7.
A) 6 B) 8 C) 9 D) 10 E) 12
F� �"
<XNDUÕGDNL�oDUSPD�YH�WRSODPD�WDEORODUÕQGD�D��E�YH�F�KDUÀHUL�SR]LWLI�ELUHU�VD\ÕQÕQ�\HULQH�NXOODQÕOPÕúWÕU��%XQD�J|UH��F�NDoWÕU"
In the multiplication and addition tables above, the OHWWHUV�D��E�DQG�F�HDFK�VWDQG�IRU�D�SRVLWLYH�QXPEHU��Accordingly, what is the value of c?
<XNDUÕGDNL�oDUSPD�YH�WRSODPD�WDEORODUÕQGD�D��E�YH�F�KDUÀHUL�SR]LWLI�ELUHU�VD\ÕQÕQ�\HULQH�NXOODQÕOPÕúWÕU��%XQD�J|UH��D�NDoWÕU"�
In the multiplication and addition tables above, the OHWWHUV�D��E�DQG�F�HDFK�VWDQG�IRU�D�SRVLWLYH�QXPEHU��Accordingly, what is the value of a?
D� �"
A) 4 B) 5 C) 6 D) 7 E) 12
8.
Ankara Üniversitesi Ölçme ve Değerlendirme Uygulama ve Araştırma Merkezi
(ANKÜDEM)
Örnek 8:
Örnek 9:
Örnek 10:
Örnek 11:
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
22
46.
47.1 0.25 7(4 ) : ( ) ?6 0.0025 24
�
� 3 � �13� � ��� 7
24� �
724
� � � 13
� � �
49.
48.
128 64 36 32 16 ?x x x< < � < �
A) 79� B) 11� C) 8� �
D) 78 E) 79 �
51.
50.
A)� B) � C) �
D) � E) �
17� ( 121+17)� ( 1
21�13+17)=? �
0.81x �0.56=0.32x �0.07 x = ?
kl=53
k + l = 12
k =?32 18 ?288 50
+=
��
A�� 21� �� ��B)� 221
� � �����C)� 121
�
D)� 221
� � ��E)� 212
A) -1 B) 0 C) 12
D) 1 E) 3
A) 316
B) 15
C) 516
D) 13
E) 5A) 2� B) 1� C) 0 D) 1 E) 2
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
22
46.
47.1 0.25 7(4 ) : ( ) ?6 0.0025 24
�
� 3 � �13� � ��� 7
24� �
724
� � � 13
� � �
49.
48.
128 64 36 32 16 ?x x x< < � < �
A) 79� B) 11� C) 8� �
D) 78 E) 79 �
51.
50.
A)� B) � C) �
D) � E) �
17� ( 121+17)� ( 1
21�13+17)=? �
0.81x �0.56=0.32x �0.07 x = ?
kl=53
k + l = 12
k =?32 18 ?288 50
+=
��
A�� 21� �� ��B)� 221
� � �����C)� 121
�
D)� 221
� � ��E)� 212
A) -1 B) 0 C) 12
D) 1 E) 3
A) 316
B) 15
C) 516
D) 13
E) 5A) 2� B) 1� C) 0 D) 1 E) 2
61.
4log 6 a� 81log ?216
£ ¥ �² ´¤ ¦
A) 2a� B) a� C)a D) 2a E)3a
62.
limx��2 x3
ln(2x )= ?
A) �� B) � C) 0 D) 43
� E) 43
Ankara Üniversitesi Ölçme ve Değerlendirme Uygulama ve Araştırma Merkezi
(ANKÜDEM)
Örnek 12:
Örnek 13:
AYÖS hakkında daha ayrıntılı bilgi için ayos.ankara.edu.tr adresini ziyaret edebilir, sınav kılavuzunu inceleyebilir, [email protected] adresine e-‐posta atabilir ya da +90 312 212 56 56/3202 numaralı telefonu arayabilirsiniz. (Not: telefon ve e-‐posta yolu ile yalnızca İngilizce ve Türkçe iletişim kurulabilmektedir).
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
72.
73.
74.
27
75.
32 25log 8 log 125 ? �
A) sin xe C+ B) sin xe C� + �
C) cos xe C+ D) cos xe C� + �
A) 12
� B) 14
� C) 0 �
D) 14
E) 12�
A) 12� B)
6� C)
4�
�
D) 3� E)
2�
�
esin x
cos x dx = ?� �
E) esin xcos x +C �������������������������
ddx
cos2 x( )��6
�6
� dx = ?
�8
x 2 + 2x �3dx = ?
3
5
�
e x
1+e 2xdx = ?
0
ln 3
�
A) 4ln9
B) 2ln3
C) 3ln2�
D) 9ln4
E) ln83 �
2011 - AYÖS - TÖBT2011 - AYÖS - TÖBT
76.
77. 79.
28
C) 5 8 77
i� D) 5 8 77
i+ �
E) 5 7 87
i+ �
78.
A) 7,25 B) 9,5 C) 9,6 �
D) 10 E) 10,2 �
1 1tan cos ?2
�� �� � =� �� �� �� �
�
cos15�
sin75�= ? �
5 6 ?8 ii
� =+
�
A) 5 8 499 9
i� B) 5 8 49
9 9i
+
A) 33
B) 32
C) 2 33
�
D) 3 E) 2 �
A) B) C) �32
�12
�12
D)
E) 1 32
i 2 = �1
CA AO� �
CB CA� �
| | 2CB cm= �
| | 5CA cm= �
| |AO r cm= ��� ?r = �