Armenia Mathematics Unified Exam study plan
Armenia Mathematics Unified Exam · Give each week a clear focus.
8 weeks · About 6 hours per week
Algebra and Algebraic Expressions & Equations and Inequalities
Factor and expand polynomial and rational expressions accurately under time pressure
Solve linear and quadratic equations in one variable, including cases with parameters
Simplify radical and exponential expressions without calculator aid
Set up and solve word problems by translating them into single-variable equations
Your checkpoint
A 25-problem timed set (40 minutes) on expression simplification and equation solving, scored and error-logged by error type
Equations and Inequalities & Algebra and Algebraic Expressions
Solve linear and quadratic inequalities and express solution sets in interval notation
Solve systems of two equations in two unknowns by substitution and by elimination
Handle rational and radical equations while checking for extraneous roots
Apply the discriminant to classify roots of quadratic equations
Your checkpoint
A one-page solution-set reference sheet plus a 20-problem mixed inequalities and systems quiz scored at 80% or higher
Plane Geometry & Trigonometry
Prove and apply triangle congruence and similarity criteria in multi-step problems
Compute angles, lengths, and areas in circles using inscribed-angle and tangent properties
Convert between degrees and radians and evaluate trigonometric functions at standard angles
Apply the sine and cosine rules to solve oblique triangles
Your checkpoint
A 15-problem geometry and trigonometry set with full written justifications for each step, self-graded against a rubric
Number Theory and Arithmetic & Sequences and Progressions
Apply divisibility rules and prime factorization to compute GCD and LCM
Solve modular arithmetic and remainder problems
Identify arithmetic and geometric sequences and compute nth terms and sums
Solve applied progression problems involving growth or accumulation
Your checkpoint
A cumulative mid-plan test of 30 problems covering weeks 1-4, completed in 60 minutes with a recorded score and top-three weak areas
Functions and Graphs & Mathematical Analysis and Calculus
Sketch graphs of linear, quadratic, exponential, and rational functions from their equations
Determine domain, range, intercepts, and asymptotes of given functions
Compute derivatives of polynomial, rational, and simple composite functions
Use derivatives to find intervals of increase, decrease, and local extrema
Your checkpoint
A function-analysis portfolio of 8 fully worked graphs (domain, range, asymptotes, monotonicity) plus 10 derivative problems
Solid Geometry & Plane Geometry
Compute volumes and surface areas of prisms, pyramids, cylinders, cones, and spheres
Solve problems involving cross-sections and inscribed solids
Apply the Pythagorean theorem and right-triangle ratios in three-dimensional figures
Determine angles between lines and planes in simple solids
Your checkpoint
A 15-problem solid-geometry set, each answer accompanied by a labeled diagram and the formula used
Combinatorics, Probability, and Statistics & Number Theory and Arithmetic
Count outcomes using permutations and combinations, distinguishing ordered from unordered cases
Compute probabilities of compound events using addition and multiplication rules
Interpret mean, median, mode, and standard deviation in a data set
Solve number-theory word problems combining divisibility with counting arguments
Your checkpoint
A 20-problem combinatorics and probability quiz scored at 80% or higher, with written explanations for each counting decision
Algebra and Algebraic Expressions & Equations and Inequalities & Functions and Graphs & Trigonometry & Plane Geometry & Solid Geometry
Complete two full-length timed mock exams under exam conditions
Categorize every missed problem by domain and error type
Re-solve all missed problems from weeks 1-7 without notes
Memorize and rehearse a formula sheet for trigonometry, geometry, and sequences
Your checkpoint
Two completed mock exams with a final error analysis report showing at least a 15-point improvement between attempt one and attempt two
Milestones
Week 2: Score at least 80% on the week-2 algebra and inequalities quiz and be able to solve any quadratic equation or inequality without reference notes
Week 4: Complete the 30-problem cumulative test in 60 minutes with a score of at least 65%, and identify the three weakest subtopics in writing
Week 6: Correctly solve at least 11 of 15 solid-geometry problems with valid diagrams, and demonstrate fluent use of sine and cosine rules
Week 8: Achieve at least 75% on the second full mock exam and show documented improvement over the first attempt in every domain scoring below 70%