UNAM 2024 Superior MATHEMATICS Simulator Exam with FREE PDF Answers

UNAM 2024 Mathematics Simulator Exam

In many places this type of mock exams They have a cost, however we have taken on the task of extracting all the questions that can be included in the UNAM ADMISSION EXAM 2024 TO ENTER TO HIGHER LEVEL and you will be able to know them completely FREE.

All the reagents include the justification or explanation of the correct answer, therefore it will serve as a study to prepare you for the Mathematics subject.

We hope that with this UNAM 2024 Mathematics Simulator Exam reinforce all your knowledge in this matter. All the topics that UNAM included in the original exam you will know them in this Mathematics Simulator Exam.

Pay close attention to the subject syllabus since it is official information that UNAM relies on to create the questions for the official exam.

Syllabus Included in the UNAM 2024 Mathematics Simulator Exam

Here you will know all the Mathematics subject topics that are included in the exam for admission to higher level of UNAM 2024, We recommend that you study them carefully, remember that acquiring knowledge of any area is obtained by reading, analyzing, reasoning and dedicating time to achieve understanding.

• Operations with real numbers, complex numbers and algebraic expressions

  1. Real numbers
     1. Add and subtract
     2. multiplication and division
     3. Roots and powers with rational exponent
  2. Complex numbers
     1. Add and subtract
     2. Multiplication
  3. Algebraic expressions
     1. Add and subtract
     2. multiplication and division
     3. Roots and powers with rational exponent
     4. Operations with radicals

• Notable Products and Factoring

  1. Newton binomial a+bn, n ∈N
  2. Remainder and factor theorem
  3. Simplifying algebraic fractions
  4. Operations with algebraic fractions

• Equations

  1. Equation, identity and properties of equality
  2. First degree equations
  3. Second degree equations

• Inequalities

  1. First degree inequality in a variable and its properties

• Ecuation systems

  1. Systems of two linear equations with two unknowns
     1. Solution Methods
  2. Systems of three linear equations with three unknowns
     1. Solution Methods (Cramer's Rule)

• Algebraic functions

  1. Domain, counterdomain and correspondence rule
  2. Rank or image
  3. Graph
  4. Implicit and explicit
  5. Increasing and decreasing
  6. Continuous and discontinuous
  7. Algebra of functions

• Trigonometry

  1. Basic Trigonometry
     1. Measurement of an angle (conversion from degrees to radians and from radians to degrees)
     2. Trigonometric ratios
     3. Solving right triangles
     4. Law of Sines and Law of Cosines
     5. Solving oblique triangles
     6. Trigonometric ratios for an angle in any quadrant. Reduction formulas
  2. Trigonometric functions
     1. The trigonometric circle
     2. Direct trigonometric functions
        1. Domain and range
        2. Period and amplitude
        3. Dephasing
        4. Asymptotes of the graph

• Exponential and logarithmic functions

  1. Domain and range
  2. Graphs and asymptotes

• Straight

  1. Distance between two points
  2. Coordinates of a point that divides a segment according to a given ratio
  3. slope of a line
  4. Forms of the equation of the line and its graph
  5. Conditions of parallelism and perpendicularity
  6. Distance from a point to a line
  7. Equations of the medians, bisectors and heights of a triangle. Points of intersection (orthocenter, circumcenter and barycenter)

• Circumference

  1. Circumference as a geometric locus
  2. Ordinary (canonical) and general form of the equation of the circle with center at the origin
  3. Equation of the circle with center in (h,k) in the ordinary and general forms
  4. Elements of a circle

• Parable

  1. Parabola as a geometric place
  2. Ordinary and general forms of the parabola equation when the vertex is at the origin and the focal axis coincides with one of the coordinate axes
  3. Ordinary and general forms of the parabola equation when the vertex is at any point in the plane and the focal axis is parallel to one of the coordinate axes
  4. Elements of a parable

• Ellipse

  1. Ellipse as geometric locus
  2. Relationship between parameters a, b and c
  3. Ordinary and general forms of the equation of the ellipse with center at the origin and focal axis on one of the coordinate axes
  4. Ordinary and general forms of the equation of the ellipse with center outside the origin and focal axis parallel to one of the coordinate axes
  5. Elements of an ellipse

• Hyperbola

  1. Hyperbola as a geometric locus
  2. Relationship between the parameters of the hyperbola a, b and c
  3. Ordinary and general forms of the hyperbola equation with center at the origin and focal axis about one of the coordinate axes
  4. Ordinary and general forms of the hyperbola equation with center outside the origin and focal axis parallel to one of the coordinate axes
  5. Elements of a hyperbola

• General equation of the second degree

  1. The conics
  2. General equation of the second degree
  3. Criteria to identify the conic that represents an equation of the second degree
  4. Axis translation

• Bounds

  1. Intuitive concept
  2. formal definition
  3. Limit theorems
  4. Getting limits
  5. indeterminate forms
  6. Continuity at a point and at an interval

• The derivative

  1. Definition of derivative and its notations
  2. Obtaining derivatives
  3. Chain rule
  4. Derivative of implicit functions
  5. Successive derivatives of a function
  6. Geometric and physical interpretation
  7. Equations of the tangent and the normal to a curve
  8. Calculation of speed and acceleration of a mobile
  9. Relative maximums and minimums of a function
  10. Absolute maximums and minimums in a closed interval
  11. Inflection and concavity points on a curve
  12. Daily life problems

• The integral

  1. Integrable function on a closed interval
  2. Theorems that justify the properties of the integral of a function
  3. Immediate integral
  4. Integration formula table
  5. Integration methods
  6. Definite integral and its notation

Tips for Answering the UNAM 2024 Mathematics Simulator Exam

For you to start answering this UNAM Mathematics Mock Exam We recommend that you follow the following points to the letter so that you get the most out of this information. Always consider pretending that this is your original exam, this way you can mitigate the nerves and stress that comes with answering an exam.

• Have white sheets for exercises (if required).
• Have a pencil, eraser and sharpener.
• Have time available to answer 0 questions.
• Be in a place without distractions or noise.

We know that everyone at some point When taking an exam we get nervous or fearful and we are consumed by the worry of doubting whether we will approve it or not, we strongly recommend that you breathe very deeply, hold the air and begin to expel it very slowly, do it 5 times; this way you can relax 😉

We want to give you these tips that will be very useful so that you can answer each of the questions that come in the exam as best as possible. follow them to the letter and you will realize that it will be easier for you to answer all the questions.

Mock Exams by Subject

So that you continue preparing, we recommend that you now answer the following Simulation exams of the others Subjects which are also included in the Exam to enter to study at UNAM 2024.

Remember no matter what career you want to study UNAM asks you to also have knowledge of the following subjects, therefore, take advantage and evaluate yourself by answering the following simulation exams.

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UNAM UNIVERSAL HISTORY Simulator Exam 2024 Higher Level with FREE PDF Answers

UNAM LITERATURE Simulator Exam 2024 Higher Level with FREE PDF Answers

UNAM 2024 Superior MATHEMATICS Simulator Exam with FREE PDF Answers

UNAM 2024 CHEMISTRY Simulator Exam Higher Level with FREE PDF Answers

Simulator Exam for Area 1 of Physical, Mathematical and Engineering Sciences

If the career you intend to study is in this area of ​​knowledge, we suggest you take the following mock exam, which It has the same number of items as the original exam that you will present.

Simulator Exam for Area 2 of Biological, Chemical and Health Sciences

Now, if the career you want to study in UNAM is within this area 2, answer the following simulator exam so that you can know how much knowledge you have and diagnose what results you would obtain if you took your exam today.

Simulator Exam for Area 3 of Social Sciences

You can also answer the following simulator exam If the career you intend to study is in the area of ​​social sciences, this exam also includes all the questions on the study topics that you must know to answer it.

Exam Area 4 of the Humanities and Arts

You have the opportunity to answer this simulator exam for this area of ​​knowledge and have your own knowledge thermometer that will help you know which subjects you should study.