Slovakia Maturita Math study plan
Slovakia Maturita Math · Give each week a clear focus.
8 weeks · About 7 hours per week
Numbers and relations (Čísla a vzťahy) & Functions and relations (Funkcie a vzťahy)
Classify and compute with number sets (natural, integer, rational, real) including absolute value and interval notation
Simplify algebraic expressions with powers, roots, and rational exponents and state domain restrictions
Solve linear equations and inequalities, expressing solutions as intervals
Identify domain and range of a function from its algebraic rule
Your checkpoint
A one-page formula and rules sheet plus 25 solved mixed problems on sets, powers, and linear equations, graded against an answer key
Numbers and relations (Čísla a vzťahy) & Functions and relations (Funkcie a vzťahy)
Solve quadratic equations by factoring, completing the square, and the quadratic formula
Apply Vieta's relations and the discriminant to determine number of real roots
Solve systems of two linear equations and simple exponential and logarithmic equations
Sketch and interpret graphs of linear, quadratic, exponential, and logarithmic functions
Your checkpoint
A timed 45-minute practice set of 20 problems on quadratics, logs, and function graphs with a written error log
Functions and relations (Funkcie a vzťahy) & Geometry and measurement (Geometria a meranie)
Compute function values, compositions, and inverses for simple functions
Convert between degrees and radians and evaluate trigonometric functions at standard angles
State and apply the sine and cosine rules in triangles
Derive and use basic trigonometric identities
Your checkpoint
A completed trigonometry problem set of 20 items, including 5 real-world triangle problems, with full working shown
Geometry and measurement (Geometria a meranie)
Compute perimeter and area of triangles, quadrilaterals, and circles and of composite figures
Compute surface area and volume of prisms, pyramids, cylinders, cones, and spheres
Apply similarity ratios to scale lengths, areas, and volumes
Use the Pythagorean theorem and right-triangle ratios to find unknown lengths
Your checkpoint
A mock half-exam of 15 geometry problems completed under time, scored, with a list of the three weakest subtopics
Geometry and measurement (Geometria a meranie) & Combinatorics and probability (Kombinatorika a pravdepodobnosť)
Solve coordinate geometry problems: distance, midpoint, line equations, and parallel and perpendicular conditions
Determine equations of circles and their intersections with lines
Use the addition and multiplication rules for counting outcomes
Compute permutations, variations, and combinations and identify which applies to a given situation
Your checkpoint
A combined geometry and counting worksheet of 25 problems, with each counting problem labeled by the rule used
Combinatorics and probability (Kombinatorika a pravdepodobnosť)
Compute classical and empirical probability of events including complementary events
Apply the addition rule for mutually exclusive and non-exclusive events and the multiplication rule for independent events
Compute conditional probability and interpret simple tree diagrams
Compute expected value and variance of a simple discrete random variable
Your checkpoint
A probability problem set of 20 problems including 5 tree-diagram word problems, with a summary sheet of probability formulas
Numbers and relations (Čísla a vzťahy) & Combinatorics and probability (Kombinatorika a pravdepodobnosť)
Solve word problems involving percentages, ratios, proportions, and simple and compound interest
Solve mixture and work-rate problems using equations
Compute binomial probabilities for small n and interpret the results
Recognize and correct common errors in combinatorics problems such as ordering versus selection
Your checkpoint
A timed 50-minute practice test of 12 mixed applied problems on percentages and probability, scored with corrections
Numbers and relations (Čísla a vzťahy) & Functions and relations (Funkcie a vzťahy) & Geometry and measurement (Geometria a meranie) & Combinatorics and probability (Kombinatorika a pravdepodobnosť)
Complete two full-length timed mock exams under exam conditions
Review each missed item and classify the error as conceptual, procedural, or careless
Re-solve all missed items from weeks 1-7 without notes
Memorize the formula sheet and rehearse calculator use
Your checkpoint
Two scored full mock exams plus a final one-page personal error summary and formula recall check at 90 percent or better
Milestones
Week 2: Score at least 70 percent on a 20-question quiz covering number sets, powers, quadratics, and function basics without notes
Week 4: Score at least 65 percent on the timed geometry mock and correctly solve at least 4 of 5 volume and surface-area problems
Week 6: Score at least 70 percent on the probability set and correctly classify 9 of 10 counting situations as permutation, variation, or combination
Week 8: Score at least 75 percent on both full mock exams and recall all key formulas on the formula sheet from memory