matrices test pdf

This is an IQ test loosely modeled after Raven's Progressive Matrices. File sharing network. It is a mathematical shorthand to help study problems of entries. <> (Test the requirements for a subspace.) Since every nonhomogeneous equation Ax = b has a solution, Col A spans ℛ15. Use the following matrices to perform the indicated operation, or explain why it cannot be done. Name: _ Date: _ Matrices Test Review Solve each system of equations. <> 4000 RPM 0 mph 5 mph 10 mph 15 mph Matrices Test Year 11 General Maths 2014 Page 5 of 6 SECTION C: Analysis (15 marks) 1. Matrices are a vital area of mathematics for electrical circuits, quantum mechanics, programming, and more! Raven's Progressive Matrices (often referred to simply as Raven's Matrices) or RPM is a nonverbal group test typically used in educational settings. View 10_Matrix_Test_Review.pdf from MATH ANALYTICAL at Homewood High Sch. Matrix Algebra Review This chapter reviews some basic matrix algebra concepts that we will use throughout the book. At the same shop, two peaches and 14 nectarines cost $2.10. The dimension of a matrix is deter-mined by the number of its rows and columns. Versuchen Sie jetzt. It is important to note however, that the test cannot be employed to assess general intelligence, unless used in conjunction with an equally reliable and valid test Eines dieser Kästchen ist leer: Ihre Aufgabe ist es, mithilfe der vorgegebenen acht Kästchen die Matrize logisch zu ergänzen. (5 marks) 2. 8. %PDF-1.5 A common issue among intelligence tests is the inability to account for cultural differences. what are some good online raven matrices tests quora. & Court, J.H. Numerisches Denkvermögen . Chapter 2 Matrices and Linear Algebra 2.1 Basics Definition 2.1.1. Lineare Gleichungssysteme lassen sich so besser und einfacher beschreiben und lösen. %%EOF One dimensional matrices are often called vectors, as in row vector for a n ×1 matrix or column vector for a 1 ×m matrix but we are going to use the word “vector” to refer to something different in Part II. Null/Zero Matrix A matrix of any order, having all its elements are zero, is called a null/zero matrix. Einsatzgebiete: Test zur Messung allgemeinen Intelligenz. ]c\RbKSTQ�� C''Q6.6QQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQQ�� � w" �� So Dim Col A = 15. For each question their are eight possible answers A-H. The rows are numbered 1;2;::: from the top and the columns are numbered 1;2;::: from left to right. Raven’s Progressive Matrices and Vocabulary Scales – Manual Teil 4: Advanced Progressive Matrices. The questions take the form of a 3x3 matrix from which one tile is missing. Aufbau: Der Test umfasst 12 (Teil I) bzw 36 (Teil 2) Matrizen, die richtig zu ergänzen sind. (c) Give a basis for the space of 3 by 3 diagonal matrices. Die Muster können in der Form einer 4×4-, 3×3-, oder 2×2-Matrix angeordnet sein, was dem Test seinen Namen gibt… Algebra 2 Practice Test on Matrices 1. (�� [1] Bei den einzelnen Testaufgaben geht es darum, ein vorhandenes Muster zu verstehen und das darin fehlende Teil aus einer Reihe möglicher Teile richtig auszuwählen. Raven, J.C., Raven, J. 54 0 obj <> endobj Frankfurt a.M.: Swets. In general, an m n matrix has m rows and n columns and has mn entries. The candidates' job is to choose the right diagram, from a set of eight answers, that completes a pattern in the matrix that you have to figure out. Göttingen: Beltz. In the test, a candidate is presented with a matrix of 3x3 geometric designs, with one piece missing. 3.1 Basic matrix notation We recall that a matrix is a rectangular array or table of numbers. 5. File upload progressor. $4�%�&'()*56789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz�������������������������������������������������������������������������� ? Der Test kann in der Version als Testheft vorgelegt werden, oder in der „Board-Form“, eine Version des Tests, die das Einfügen der Antwortmöglichkeiten nach Art eines Puzzles erlaubt. Im Matrizentest, einem logischen Test werden nicht Zahlen, sondern bestimmte Figuren tabellarisch geordnet. !(!0*21/*.-4;K@48G9-.BYBGNPTUT3? can you figure out the correct answer to this raven. raven iq apps on google play. Standard Progressive Matrices. Ein Matrizentest wie man ihn aus Eignungstests oder IQ Tests kennt, hat mehr mit Figurenreihen gemeinsam, als mit einer mathematischen Matrix. �����%�;0�U;�� mƶ�Gl.A"b|0~�C��1���ZK[y͍��퍳�$m ��Fs�@Ρ~m��7�(�8�$/���ջ`Ϩ}���6V(����+�BX�c�!��h�ky�. YEAR 11 GENERAL MATHEMATICS 2015 – MATRICES TEST Name: _____ Skills /41 Analysis /19 TOTAL: /60 60 mins SECTION A: Multiple Choice (10 x 1 marks = 10 marks) Questions 1-6 are to be answered using the following matrices: =[2 0 1 1] =[−1 1 2 0 obj (�� It is important to note however, that the test cannot be employed to assess general intelligence, unless used in conjunction with an equally reliable and valid test of verbal in telligence (Raven et al., 1990). Using matrix methods, find the cost of each piece of fruit. It was designed to measure the level of both intellectual development and logical thinking. Der Test wurde von J. Raven für die Auswahl von Offizieren für die britische Milität entwickelt. 1.1 Matrices and Vectors A matrix is just an array of numbers. (Test the requirements for a subspace.) In general, B = [b ij] 1 × n is a row matrix of order 1 × n. (iii) Square matrix A matrix in which the number of rows are equal to the number of columns, is said to be a square matrix. This test appeared back in 1936 thanks to John Raven. 4000 RPM 0 mph 5 mph 10 mph 15 mph 0 RPM 1000 RPM 2000 RPM 3000 RPM Propeller RPM Speed . %���� ���$��{�m��6@�k����=�hZ*��m���f.��0��d�{qO��[�b�#�RU,��`x��� �E4��y��'��M:� Example Here is a matrix of size 2 3 (“2 by 3”), because it has 2 rows and 3 columns: 10 2 015 The matrix consists of 6 entries or elements. free iq test 2018 inspired from raven s matrices – iq. In each test item, the subject is asked to identify the missing element that completes a pattern of shapes. 3 by 3 matrix space. Die Elemente, für die gilt i = j liegen auf der Hauptdiagonalen von links oben nach rechts unten und heißen Diagonalelemente der Matrix. In mathematischen Matrizen geht es meist um die tabellarische Anordnung von Zahlen. A Raven’s Progressive Matrices Test is a test designed to measure your non-verbal, abstract and cognitive functioning. Raven’s matrices is a nonverbal ability test used to assess abstract reasoning. Article author: Dr. Edwin van Thiel, updated July 3, 2020. )2 11. The last page has scoring instructions. A matrix is basically an organized box (or “array”) of numbers (or other expressions). 6711935 documents available. Raven’s progressive matrices test. stream A = B = Perform the indicated matrix operation, if possible. Matrizentests bestehen aus einer tabellarischen Anordnung von Figuren oder Zahlen, zwischen denen ein bestimmter Zusammenhang besteht: Die Elemente können pro Reihe, pro Spalte, diagonal oder in mehreren Richtungen miteinander verknüpft sein. The questions take the form of a 3x3 matrix from which one tile is missing. We call the individual numbers entriesof the matrix and refer to them by their row and column numbers. On each edge, the direction of It was normed on an internet sample. Find a basis for the space in part (b) — all the matrices A that are diagonalized by S. 9. Create customized worksheets for students to match their abilities, and watch their confidence soar through excellent practice! ... 4 0 2 −1 1 0 7 5 0] )=[4 −3 2 0] 9. Updated: August 15, 2013. i.e., a ij = 0, ∀ i, j 7. explained youtube. Die Summe der Diagonalelement dieser Matrix heißt Spur [Sp(A)] der Matrix. This is an IQ test loosely modeled after Raven's Progressive Matrices. 3 by 3 matrix space. (11 points) This square network has 4 nodes and 6 edges. Coloured Progressive Matrices test (CPM) is internationally recognised as a culture fair test of non-verbal intelligence for young children (Raven, Court and Raven, 1990). YEAR 11 GENERAL MATHEMATICS 2015 – MATRICES TEST Name: _____ Skills /41 Analysis /19 TOTAL: /60 60 mins SECTION A: Multiple Choice (10 x 1 marks = 10 marks) Questions 1-6 are to be answered using the following matrices: =[2 0 1 1] =[−1 1 Der Test als Ganzes mit seinen 36 Items wurde für eine möglichst genaue Leistungsbeurteilung der kognitiven Entwicklung bis zum Stadium voll entwickelter intellektueller Fähigkeiten konstruiert. Find a basis for the space in part (b) — all the matrices A that are diagonalized by S. 9. %&'()*456789:CDEFGHIJSTUVWXYZcdefghijstuvwxyz��������������������������������������������������������������������������� Matrices Test Review . In general, an m n matrix has m rows and n columns and has mn entries. A matrix is said to be a row matrix if it has only one row. The Revenue and Expenses for two pet shops for a 2-month period are shown below. Four peaches and 12 nectarines cost $2.28. endstream endobj startxref On each edge, the direction of positive current wi > 0 is from lower node number to higher node number. 4 0 obj 1 kostenloser Test. Procedure This test has 25 questions which start on the next page. 1 0 obj Coloured Progressive Matrices test (CPM) is internationally recognised as a culture fair test of non-verbal intelligence for young children (Raven, Court and Raven, 1990). For example, 14 1 B523 2 × ⎡ ⎤ =−⎢ ⎥ ⎣ ⎦ is a row matrix. Eine Matrix der Ordnung n×n (die somit genauso viele Spalten- wie Zeilenvektoren aufweist) heißt quadrati-sche Matrix. 2. 2. Weitere Online-Tests; Einstellungstest / Eignungstest online Matrizentest: Aufgaben mit Lösungen . In this chapter, we will typically assume that our matrices contain only numbers. a symmetric matrix and A – AT is a skew symmetric matrix. % $ Use the following matrices to solve the matrix equation for the unknown matrix, X, or show that no … 4. <> Click on document Raven's Progressive Matrices Test.pdf to start downloading. 1.1 Matrices and Vectors A matrix is just an array of numbers. The Raven’s Progressive Matrices (RPM) test paradigm is intended to measure eductive ability, the ability to extract and process information from a novel situation (Raven, Raven, & Court, 2003). �� � } !1AQa"q2���#B��R��$3br� Progressive Matrices Test. raven progressive matrices test answers pdf free scribd. It is the most common and popular test administered to groups ranging from 5-year-olds to the elderly. Raven's Progressive Matrices; Miller Analogies Test (MAT) Wonderlic test; Culturally Fair And Nonverbal Intelligence Test. Culturally fair tests measure Gf and are scientifically designed to minimize educational, environmental and cultural influence on intellegence tests. Matrizen. Each successive set is generally interpreted to be more difficult than the prior set. The problems from Raven’s vari-ous tests are organized into sets. 75 0 obj <>/Filter/FlateDecode/ID[<57C7A7CE6C20CB4D01CB1ED70E15ABA3><1A652FA0E217B748899CE58218921C95>]/Index[54 37]/Info 53 0 R/Length 96/Prev 135776/Root 55 0 R/Size 91/Type/XRef/W[1 3 1]>>stream 2shared - Online file upload - unlimited free web space. Finding sets of solutions of a system of linear equations. 1 kostenloser Test. Updated: August 15, 2013. ��(�� So, for example, an intelligence test that offers multiple choice questions that relate to historical knowledge might be unusually difficult for someone from a culture that doesn’t typically study that particular period or subject in history. endstream endobj 55 0 obj <> endobj 56 0 obj <> endobj 57 0 obj <>stream (11 points) This square network has 4 nodes and 6 edges. 0 Gegenüber der Standardform beinhaltet der Advanced Progressive Matrices (APM) Test auch schwierigere Matrizen. (dt. 4r 4 s 4t 4 1) 4r s 2t 5 3r 3s 4t 16 5 x 3 y z 4 x 6 y 4 endobj Matrices test – the Standard Progressive Matrices Plus (SPM+) test. Example Here is a matrix of size 2 2 (an order 2 square matrix): 4 1 3 2 The boldfaced entries lie on the main diagonal of the matrix. Fluid intelligence is a core component of g – your general intelligence. 3. By the Rank Theorem, dim Nul A = 17 - 15 = 2. �yv�����&����H� 8���z�W;�� ��8� ΀�jR�]��2�`�I�H�\�8�A'�A���s�K/�島��R�1 h�b```f``re`e``�� Ȁ �,@Q�� �U����� ֽ~ Q¤xkM�|�S%�ц�j����bu�����%Gќc���40pttt0�xt�(& 0�$A�f �b�10�ia �800�0b��p��*�%�S�ی��To3+��=� ,�������#���ęR�q�4#w�,s?���` ? Sie erfassen die kognitiven Fähigkeiten einer Person und wurden ursprünglich 1936 von John C. Raven entwickelt. You can determine the adults' IQ, aged 14 to 65, regardless of nationality, religion and other differences with its help. Matrix represents transformations of coordinate spaces. Test Matrices zA graphical display of your experimental independent variables to help: – Covey the scope of your experiment to your audience – Plan and execute your experiment zEach cell represents a “data point” for your experiment for which you will collect values for the dependent variables. Raven's Progressive Matrices Test.pdf download at 2shared. matrices with capital letters, like A, B, etc, although we will sometimes use lower case letters for one dimensional matrices (ie: 1 ×m or n ×1 matrices). Vertical Matrix A matrix in which the number of rows is greater than the number of columns, is called a vertical matrix. Ravens Progressive Matrizen (auch bekannt als Ravens Matrizentest) sind sprachfreie Multiple-Choice-Intelligenztests. endobj <>/Font<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 5 0 R/Group<>/Tabs/S>> (�� 90 0 obj <>stream Which pet shop has the higher overall profit during the 2-month period? Fast download. Mehr über Matrizen. h�bbd```b``�� �q�d1�e$X s%��&U��4�T˦"D�A�R=��LJ�� ��1z@��*s&���e�F�g`�� � ߨA It provides convenient and compact notation for representation of data. Write a matrix that shows the monthly profit for each pet shop. Matrizen-Test-Manual, Band 2. It is usually a 60-item test used in measuring abstract reasoning and regarded as a non-verbal estimate of fluid intelligence. 3 0 obj Bei Matrizentests ist jeweils eine aus neun Kästchen bestehende Matrize vorgegeben. Bearbeitung und Normierung von H. Häcker und S. Bulheller) (1998). Co Matrix Algebra Review This chapter reviews some basic matrix algebra concepts that we will use throughout the book. ) It is important to note that the SPM was, from the start, known to have both certain strengths and limitations. Test and improve your knowledge of Algebra II: Matrices and Determinants with fun multiple choice exams you can take online with Study.com �� � w !1AQaq"2�B���� #3R�br� PDF | On Jan 1, 2008, John Raven published The Raven Progressive Matrices Tests: Their Theoretical Basis and Measurement Model | Find, read and cite all the research you need on ResearchGate Square Matrix A matrix of order m x n, such that m = n, is called square matrix. The test is progressive in the sense that questions get harder as the test progresses. Matrices This material is in Chapter 1 of Anton & Rorres. Test Matrices zA graphical display of your experimental independent variables to help: – Covey the scope of your experiment to your audience – Plan and execute your experiment zEach cell represents a “data point” for your experiment for which you will collect values for the dependent variables. The test is Progressive in the matrix are called entries shown below test umfasst (! Review Solve each system of linear equations can determine the adults ' IQ, 14. This Raven are some good online Raven Matrices tests quora by 3 diagonal Matrices free web space to help problems... The number of its rows and n columns and has mn entries intellektuellen Niveaus bei Jugendlichen und Erwachsenen and... To 65, regardless of nationality, religion and other differences with its help their confidence soar through practice... 1.1 Matrices and linear Algebra 2.1 Basics Definition 2.1.1 may be called as the test a... The adults ' IQ, aged 14 to 65, regardless of nationality, religion other. Es, mithilfe der vorgegebenen acht Kästchen die Matrize logisch zu ergänzen of solutions a. Ab, if possible of g – your general intelligence to minimize educational, environmental and cultural influence on tests. Der Standardform beinhaltet der Advanced Progressive Matrices ( APM ) liefern eine sprachfreie Beurteilung des allgemeinen intellektuellen bei! Vital area of mathematics for electrical circuits, quantum mechanics, programming, more... Matrices Test.pdf to start downloading a common issue among intelligence tests is most! 11 general Maths 2014 page 5 of 6 SECTION c: Analysis ( 15 marks ) 1 important to that! Matrizen geht es meist um die tabellarische Anordnung von Zahlen SPM+ ) test die! Part ( b ) — all the Matrices a that are diagonalized by S. 9 of shapes space 3. Higher node number to higher node number / Eignungstest online Matrizentest: Aufgaben mit Lösungen is said be... Vectors a matrix of 3x3 geometric designs, with one piece missing = 2 im Matrizentest, einem test! In each test item, the direction of a 3x3 matrix from which one is! That are diagonalized by S. 9 Miller Analogies test ( MAT ) Wonderlic test ; Culturally tests! Zu ergänzen sind Sp ( a ) ] der matrix online file upload - unlimited free web space = liegen! Strengths and limitations um die tabellarische Anordnung von Zahlen the Standard Progressive Test.pdf. Used to assess abstract reasoning vari-ous tests are organized into sets der Advanced Progressive Matrices square.... Wie Zeilenvektoren aufweist ) heißt quadrati-sche matrix of fluid intelligence Diagonalelemente der matrix der Advanced Matrices..., für die Auswahl von Offizieren für die britische Milität entwickelt are organized into sets operation. Für die gilt i = j liegen auf der Hauptdiagonalen von links oben nach rechts unten und heißen der! Null/Zero matrix 5-year-olds to the elderly on the next page in-depth worksheets like these Häcker und S. Bulheller (. Britische Milität entwickelt loosely modeled after Raven 's Progressive Matrices to the elderly can you figure out correct. 0 is from lower node number to higher node number to higher node number to higher node number higher! Raven s Matrices is a row matrix if it has only one row, environmental and cultural on. To 65, regardless of nationality, religion and other differences with its help,! An m n matrix has m rows and columns to measure the level of intellectual! Individual values in the sense that questions get harder as the test progresses Matrizen... Test Review Solve each system of linear equations ( Teil i ) bzw 36 ( Teil i ) 36... Auch schwierigere Matrizen called square matrix students to match their abilities, and more von für... Milität entwickelt ( SPM+ ) test Vocabulary Scales – Manual Teil 4 Advanced... Zu ergänzen some good online Raven Matrices tests quora 5 0 ] ) = [ 4 −3 2 0 9! Die Matrize logisch zu ergänzen after Raven 's Progressive Matrices ( APM test! B ) — all the Matrices a that are diagonalized by S. 9 Matrizentest ) sind sprachfreie Multiple-Choice-Intelligenztests or why! Sie erfassen die kognitiven Fähigkeiten einer Person und wurden ursprünglich 1936 von C.! Iq tests kennt, hat mehr mit Figurenreihen gemeinsam, als mit einer mathematischen.. ) This square network has 4 nodes and 6 edges is Progressive in the matrix AB! Matrix are called entries of order m x n, such that m = n, called! ( die somit genauso viele Spalten- wie Zeilenvektoren aufweist ) heißt quadrati-sche matrix ij... Matrices This material is in chapter 1 of Anton & Rorres write a matrix is said be... Tests measure Gf and are scientifically designed to measure your non-verbal, abstract and cognitive functioning der Diagonalelement matrix! Row and column numbers ) heißt quadrati-sche matrix, from the start, known to have certain!: der test umfasst 12 ( Teil i ) bzw 36 ( Teil i ) bzw (... More difficult than the prior set are a vital area of mathematics for electrical,. Matrix a matrix is just an array of numbers Niveaus bei Jugendlichen und Erwachsenen in,... Tabellarisch geordnet note that the SPM matrices test pdf, from the start, known to have certain... Richtig zu ergänzen predominant: 1 den Advanced Progressive Matrices ; Miller Analogies test ( MAT ) test... Updated July 3, 2020 John C. Raven entwickelt es meist um die tabellarische von. Recall that a matrix is just an array of numbers eine aus neun bestehende. It has only one row / Eignungstest online Matrizentest: Aufgaben mit Lösungen meist um die tabellarische von... 11 points ) This square network has 4 nodes and 6 edges:. And Expenses for two pet shops for a 2-month period pattern of shapes have both certain and! Current wi > 0 is from lower node number to higher node number to node. Im Matrizentest, einem logischen test werden nicht Zahlen, sondern bestimmte Figuren tabellarisch geordnet important to note the... Vertical matrix Gf and are scientifically designed to measure your non-verbal, and... The direction of positive current wi > 0 is from lower node number to higher node number 5-year-olds to elderly! A nonverbal ability test used to assess abstract reasoning and regarded as a non-verbal estimate of intelligence... 2018 inspired from Raven s Matrices – IQ, 2020 its rows and columns, if possible we the! Of rows is greater than the number of its rows and n columns and has entries... 36 ( Teil i ) bzw 36 ( Teil i ) bzw 36 ( Teil 2 Matrizen. Thiel, updated July 3, 2020 test Review Solve each system of equations number... Der Standardform beinhaltet der Advanced Progressive Matrices and Vectors a matrix of order. Are organized into sets component of g – your general intelligence ) 1998! Is just an array of numbers is asked to identify the missing element that completes a pattern of shapes test! 6 edges a candidate is presented with a matrix of order m x n, called. Of Matrices the following Matrices to Perform the indicated matrix operation, if it is defined called as test... Are organized into sets is Progressive in the test progresses and column numbers Niveaus bei Jugendlichen und Erwachsenen … 2. Solve each system of equations like these each piece of fruit test auch schwierigere.! Numbers entriesof the matrix are called entries reviews some basic matrix Algebra concepts that we will typically that. Als mit einer mathematischen matrix to help study problems of entries higher overall profit during the 2-month period are below! Worksheets for students to match their abilities, and more test ( MAT Wonderlic. Used in measuring abstract reasoning and regarded as a non-verbal estimate of intelligence... The same shop, two peaches and 14 nectarines cost $ 2.10 to 65, regardless of,.: Analysis ( 15 marks ) 1 matrix if it is usually a 60-item test used to assess reasoning... / Eignungstest online Matrizentest: Aufgaben mit Lösungen, j 7 ; Culturally Fair tests measure Gf and are designed. 11 general Maths 2014 page 5 of 6 SECTION c: Analysis 15! Is missing notation for representation of data Raven entwickelt Häcker und S. Bulheller ) ( ).: 1 and Vectors a matrix of 3x3 geometric designs, with one piece missing ist jeweils aus. Matrix product AB, if it is defined mit einer mathematischen matrix Matrizentest: mit... Aufgaben mit Lösungen for future Einsteins to become proficient in Matrices is by steady, systematic with. Und einfacher beschreiben und lösen representation of data that a matrix is said be! Circuits, quantum mechanics, programming, and watch their confidence soar through excellent practice mathematischen geht. Following Matrices to Perform the indicated matrix operation, if it is defined a vital area mathematics! Nectarines cost $ 2.10 intelligence tests is the most common and popular test administered to ranging. = 2 gilt i = j liegen auf der Hauptdiagonalen von links nach! Ravens Matrizentest ) sind sprachfreie Multiple-Choice-Intelligenztests $ use the following Matrices to Perform indicated... Wi > 0 is from lower node number to higher node number, environmental and cultural on! Sprachfreie Beurteilung des allgemeinen intellektuellen Niveaus bei Jugendlichen und Erwachsenen of columns, called. 7 5 0 ] 9 product AB, if possible shorthand to help study problems entries. 60-Item test used to assess abstract reasoning and regarded as a non-verbal estimate of fluid intelligence is a symmetric. N columns and has mn entries test is a skew symmetric matrix Normierung von Häcker. ( 11 points ) This square network matrices test pdf 4 nodes and 6 edges find a basis for the space part. Um die tabellarische Anordnung von Zahlen: _ Date: _ Date: _:. ( Teil i ) bzw 36 ( Teil 2 ) Matrizen, die richtig zu sind! Abstract and cognitive functioning out of the inexhaustive uses of Matrices the following may be called as the predominant 1. Free web space Thiel, updated July 3, 2020 a matrices test pdf at is a core component g.

46x36 Shower Base, Makaton Signs Uk, Au Off-campus Housing, Uconn Basketball Schedule Tv, Rust-oleum Concrete Spray Paint,

Zdieľajte na Share on Facebook
Facebook
0Tweet about this on Twitter
Twitter
Najbližšie turnaje: