TR-YÖS Topics: Mathematics and Numerical Ability List
TR-YÖS topics are centered around the two main sections of the exam: the Numerical Ability Test and the Basic Mathematics Test. According to the current ÖSYM guide, the exam consists of 40 Numerical Ability questions and 40 Basic Mathematics questions; candidates are given 100 minutes to answer a total of 80 questions. However, there is an important distinction: ÖSYM does not publish a detailed and fixed topic-question distribution stating that “a specific number of questions will definitely come from a particular mathematics, geometry, or numerical ability topic.”
Therefore, the topic list below should be considered a study checklist prepared by taking into account the official exam structure, the TR-YÖS question booklets published by ÖSYM, and the types of questions encountered in the exam.
What Sections Do TR-YÖS Topics Consist Of?
In TR-YÖS preparation, two different skill areas should be developed together. While the Numerical Ability Test mainly measures the ability to recognize patterns, establish relationships between shapes and symbols, decode patterns, and perform visual-numerical reasoning, the Basic Mathematics Test is based on mathematical knowledge and calculation skills.
The current official exam structure is as follows:
| Test | Number of Questions | Weighting Coefficient |
|---|---|---|
| Numerical Ability Test | 40 | 0.45 |
| Basic Mathematics Test | 40 | 0.55 |
| Total | 80 | — |
The exam duration is 100 minutes. In calculating standard scores, ÖSYM uses a coefficient of 0.45 for the Numerical Ability Test and 0.55 for the Basic Mathematics Test.
The higher coefficient of the Basic Mathematics Test increases the importance of mathematics in the preparation process. However, it should not be forgotten that the Numerical Ability section consists of 40 questions, and neither of the two tests should be completely neglected.
Who Can Take the TR-YÖS? Application Eligibility Requirements
Does ÖSYM Publish an Official TR-YÖS Topic List?
ÖSYM’s current TR-YÖS guide states that the exam consists of two tests: the Numerical Ability Test and the Basic Mathematics Test. However, the guide does not publish a detailed subtopic syllabus for mathematics, geometry, or numerical ability.
Therefore, statements found online such as:
- “There are definitely 5 questions on triangles,”
- “The same number of questions on functions appears in every exam,”
- “There are definitely 10 figure questions”
should not be considered an official question distribution.
In the 2026-TR-YÖS/1 questions published by ÖSYM, examples such as symbol-code relationships, connection patterns, and figure sequences can be seen in the Numerical Ability section, while the Basic Mathematics section includes different types of questions such as operations with fractions, calculations involving unknown digits, radical expressions, and triangle geometry.
Therefore, in TR-YÖS preparation, it is more appropriate to focus on a broad range of topics rather than relying solely on estimated question counts.
What Are the TR-YÖS Mathematics Topics?
The scope of study for the TR-YÖS Basic Mathematics Test may range from basic number concepts to algebra, and from problem solving to geometry.
The main TR-YÖS mathematics topics that should be reviewed during preparation are:
- Basic concepts and order of operations
- Natural numbers
- Integers
- Rational and real numbers
- Place value
- Division and divisibility
- Prime numbers
- GCD and LCM
- Factorials
- Fractions and rational expressions
- Exponents
- Radicals
- Absolute value
- Ratio and proportion
- Percentage calculations
- Basic problem types
- Algebraic expressions
- Identities
- Factorization
- Linear equations
- Quadratic equations
- Systems of equations
- Inequalities
- Sets
- Functions
- Counting methods
- Permutations and combinations
- Basic probability
This list is not a fixed syllabus published by ÖSYM. It should be used to organize the main mathematics areas that may be encountered while preparing for the TR-YÖS. Educational resources also generally cover mathematics preparation under main categories such as numbers, algebra, equations, functions, probability, and geometry.
The presence of a nested fractional expression and an equation involving radical expressions among the sample questions made public by ÖSYM in 2026 shows that candidates should develop calculation proficiency and the ability to establish mathematical relationships, rather than relying solely on memorizing formulas.
What Are the TR-YÖS Geometry Topics?
Geometry is one of the areas assessed within the Basic Mathematics Test, rather than as a separate test. ÖSYM does not announce a fixed number of geometry questions.
The main geometry topics that can be studied for TR-YÖS preparation are:
- Angles on a line
- Angles in a plane
- Triangles
- Angle properties of triangles
- Length relationships in triangles
- Area of triangles
- Similarity
- Quadrilaterals
- Polygons
- Circles and disks
- Basic analytical geometry
- Coordinate system
- Basic properties of a line
The publicly available 2026-TR-YÖS/1 question booklet published by ÖSYM includes a question that requires interpreting angle and length relationships together in a triangle.
Therefore, when studying geometry, it is important not only to know the formulas but also to correctly interpret the information given in a figure and use different geometric relationships together.
What Are the TR-YÖS Numerical Ability Topics?
The Numerical Ability Test has a different structure from traditional mathematics topic tests. In this section, candidates are often expected to identify the rule or relationship between shapes, symbols, numbers, or connections.
The main TR-YÖS Numerical Ability question types that can be included in a study program are:
- Number patterns
- Shape patterns
- Symbol and coding questions
- Number-symbol matching
- Shape sequences
- Finding the missing shape
- Finding the different shape
- Identifying relationships between shapes
- Visual comparison
- Rotation and reflection
- Symmetry
- Connection and matching
- Establishing numerical relationships
- Operation logic
- Patterns in matrix or table format
- Shape questions requiring spatial reasoning
In one of ÖSYM’s 2026 sample questions, candidates are asked to encode digits using different symbols, while other examples measure visual reasoning skills such as preserving connections and finding the continuation of a shape sequence.
The 2025 TR-YÖS questions also included question types involving evaluating shapes according to a given relationship and identifying the shape that differs from the others. This shows the importance of regularly practicing different types of visual questions when preparing for the Numerical Ability section.
Are There Logic or IQ Questions in the TR-YÖS?
Among students, Numerical Ability questions are often referred to as “IQ questions” or “logic questions.” However, the official test name used by ÖSYM is the Numerical Ability Test.
In this section, rather than traditional verbal logic questions, candidates may encounter questions that require reasoning through symbols, shapes, numbers, and visual relationships.
Should Mathematics and Numerical Ability Be Studied in the Same Way?
No. The study method should be different for the two tests.
In mathematics, candidates should first build their subject knowledge and then solve topic-based tests and mixed questions. In the Numerical Ability section, becoming familiar with question types and regularly encountering different patterns is more important.
A practical preparation plan can be structured as follows:
- Identify your basic mathematics topic gaps.
- Complete the topics from easy to difficult.
- Solve a short Numerical Ability question set every day.
- Do not simply look at the correct answer and move on from mistakes.
- Determine whether the mistake was caused by a lack of subject knowledge, a calculation error, or unfamiliarity with the question type.
- As you progress through the topics, start solving mixed Mathematics and Numerical Ability questions.
- As the exam approaches, take practice tests that match the exam format of 80 questions in 100 minutes.
In What Order Should TR-YÖS Topics Be Studied?
For students with a weak mathematics foundation, it may be more efficient to progress by building topics on top of one another rather than moving directly to difficult questions.
A general study order can be structured as follows:
Basic numbers and operations → fractions → exponents and radicals → ratio, proportion, and problems → algebraic expressions → equations and inequalities → functions → geometry → mixed question practice
Numerical Ability practice should not be postponed until all mathematics topics have been completed. For example, while mathematics topics are studied on certain days of the week, solving short sets of symbol, pattern, shape, or relationship questions every day can help both sections improve together.
Do TR-YÖS Topics Change Every Year?
The two-main-test structure of the TR-YÖS is clearly stated in the current guide. However, since ÖSYM does not publish an unchanging question distribution by subtopic, it is not possible to say that a particular topic will appear with the same number of questions every year.
For this reason, past TR-YÖS questions are an important guide, but they should not be regarded as an exact topic distribution for the next exam.
For example, the fact that a certain geometry or shape question type appeared in previous exams does not mean that the same number of questions of that type will definitely appear in the next exam. The safest approach is to complete the main mathematics and geometry topics comprehensively and regularly practice different Numerical Ability question types.
Since the TR-YÖS exam structure and rules may change over time, check ÖSYM’s current TR-YÖS guide and the officially published question booklets while preparing.
Frequently Asked Questions
What subjects are included in the TR-YÖS?
Under the current exam system, there are two tests: the Numerical Ability Test and the Basic Mathematics Test. Each test consists of 40 questions. There is no separate Turkish, science, or social sciences test.
What topics are included in TR-YÖS mathematics?
Areas such as basic numbers, fractions, exponents and radicals, algebra, equations, inequalities, functions, problems, and geometry may be included in the preparation scope. However, ÖSYM does not announce a fixed and detailed official question distribution for subtopics.
Is there geometry in the TR-YÖS?
Yes. Geometry questions are included in the official TR-YÖS question booklets published by ÖSYM. For example, a question related to triangle geometry was published in the publicly available 2026-TR-YÖS/1 booklet.
Are there IQ or logic questions in the TR-YÖS?
ÖSYM uses the official name Numerical Ability Test for this section. Question types such as symbol coding, shape relationships, patterns, and visual reasoning, which students may refer to as IQ or logic questions, may appear.
Are there questions from every TR-YÖS topic?
No. It cannot be guaranteed that a question from every topic will appear in every exam. Since ÖSYM does not publish a fixed number of questions by subtopic, the topic list should be used as a study scope.
Is solving past TR-YÖS questions enough?
Past questions are very valuable for understanding the language and logic of the exam. However, since some publicly released booklets published by ÖSYM contain only a certain portion of the questions, preparation should also be supported with topic study and practice tests. For example, in the 2025 and 2026 periods, 10% of the exam content was made publicly available.
Where can changes to TR-YÖS topics be followed?
The most reliable sources are ÖSYM’s current TR-YÖS guide and official exam announcements. If a new regulation regarding the exam system or scope is introduced, the preparation plan should be updated according to the latest official information.
Sources
- ÖSYM – 2026 Examination for Foreign Students for Higher Education in Türkiye (TR-YÖS/2) Guide: The two-test structure of the exam, 40+40 question distribution, 100-minute duration, and scoring coefficients.