Cuba University Entrance Math Exam study plan

Diagnose your starting level by solving a timed 90-minute mock of the full Cuban entrance mathematics syllabus and log every error by topic (álgebra, funciones, geometría, trigonometría, sucesiones, estadística).

Relearn and drill algebraic manipulation: factoring (diferencia de cuadrados, trinomio cuadrado perfecto, agrupación), rational expressions, exponents and radicals, and solve 40 mixed simplification exercises without a calculator.

Master linear and quadratic equations and inequalities, including sign analysis on the number line and problems stated in words, by completing 30 exercises and writing the solution method for each type.

Build a one-page error log template that records topic, cause of error (concepto, procedimiento, cálculo) and the correction rule, and start filling it from week 1 work.

Solve systems of linear equations by substitution, elimination and determinants (regla de Cramer), and interpret the geometric meaning of zero, one or infinite solutions, through 25 exercises.

Solve word problems that model with systems (mixtures, ages, motion, work rates) by translating each statement into equations before solving, 15 problems minimum.

Review sets and real-number intervals, absolute value equations and inequalities, and express every answer in interval notation with 20 exercises.

Re-solve every algebra item from the week 1 diagnostic without notes and confirm each is now correct.

Define functions, domain, range, composition and inverse, and compute each for 20 given functions including rational and radical ones.

Analyze linear, quadratic, polynomial and rational functions: intercepts, vertex, asymptotes, monotonicity and graph sketch, producing 12 accurate hand-drawn graphs.

Solve exponential and logarithmic equations and apply log laws, 25 exercises, including problems on growth and compound interest.

Memorize and apply the key function formulas and properties by writing a formula sheet from memory and checking it against your notes.

Solve polynomial equations of degree 3 and 4 using the rational root theorem, synthetic division (regla de Ruffini) and factoring, 15 exercises.

Apply the remainder and factor theorems and analyze sign of polynomials to solve polynomial inequalities, 15 exercises.

Complete a timed 120-minute half-syllabus mock covering algebra and functions only, then classify every error in the log.

Rewrite the 10 most frequent error rules from weeks 1-4 into a single condensed review card.

Master right-triangle trigonometry: definitions of the six ratios, special angles, and solving triangles, 25 exercises without a calculator for special angles.

Prove and apply the Pythagorean, sine and cosine rules to oblique triangles, including area formulas, 15 applied problems.

Convert between degrees and radians, use the unit circle, and solve basic trigonometric equations in a stated interval, 20 exercises.

Sketch the graphs of sine, cosine and tangent with amplitude, period and phase shift identified, 8 graphs.

Solve plane geometry problems on triangles, circles, quadrilaterals and similarity, writing a justification for each step, 20 problems.

Compute areas and volumes of prisms, pyramids, cylinders, cones and spheres, and solve composite-solid problems, 15 exercises.

Apply the distance, midpoint and slope formulas and write equations of lines and circles in the coordinate plane, 20 exercises.

Redo all geometry errors from the diagnostic and confirm each is resolved with a written justification.

Solve arithmetic and geometric sequence and series problems, including sums, general terms and applied patterns, 20 exercises.

Compute and interpret measures of central tendency and dispersion (media, mediana, moda, desviación típica) and solve basic counting and probability problems, 20 exercises.

Practice multi-step problems that combine two topics (for example, a function model with a geometry constraint) to build exam-level stamina, 10 problems.

Take a timed 150-minute full-syllabus mock under exam conditions and grade it strictly against the official-style answer key.

Target the three weakest topics identified in week 7 with focused drills until each reaches at least 80% accuracy on a 10-item check.

Take two additional timed full mocks (150 minutes each) on separate days and compare scores to confirm upward trend.

Review the condensed error card and formula sheet daily, reciting formulas from memory and correcting any gaps immediately.

Rehearse exam logistics: time allocation per section, order of attack, and a checking routine for arithmetic and sign errors.