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ЭЕШ Topics · Math

Study by topic.

Every topic covered in the ЭЕШ math exam, organized by subject area. Pick a topic to start practicing.

01 · Weight ~25%

Algebra

25%

The foundation of ЭЕШ math — equations, inequalities, and polynomials make up the largest share of the exam.

Subtopics
Linear equations & inequalitiesQuadratic equationsSystems of equationsPolynomials & factoringAbsolute value equationsRational expressions
02 · Weight ~20%

Functions & Graphs

20%

Understanding how functions behave and how to read their graphs is tested in nearly every ЭЕШ section.

Subtopics
Linear & quadratic functionsExponential & logarithmicDomain, range, inversesFunction compositionGraph transformationsPiecewise functions
03 · Weight ~20%

Geometry

20%

Plane and solid geometry — triangles, circles, areas, volumes, and coordinate geometry problems.

Subtopics
TrianglesCirclesArea and perimeterVolume and surface areaCoordinate geometryVectors in the plane
04 · Weight ~10%

Trigonometry

10%

Trigonometric identities, equations, and their applications are a consistent part of the exam.

Subtopics
Trig ratios & unit circleIdentities (sum, double angle)Trig equationsInverse trig functionsLaw of sines & cosinesApplications
05 · Weight ~10%

Calculus

10%

Limits, derivatives, and integrals — the most challenging section, heavily tested in Part 2.

Subtopics
Limits & continuityDerivativesApplications of derivativesDefinite & indefinite integralsApplications of integrals
06 · Weight ~10%

Probability & Statistics

10%

Combinatorics, probability theory, and descriptive statistics appear in both Part 1 and Part 2.

Subtopics
Counting & permutationsCombinationsBasic probabilityConditional probabilityMean, median, mode, varianceData interpretation
07 · Weight ~5%

Sequences & Series

5%

Arithmetic and geometric progressions, their sums, and limits of sequences.

Subtopics
Arithmetic sequencesGeometric sequencesSum formulasLimits of sequencesRecursive sequences
08 · Weight ~5%

Logarithms

5%

Logarithmic properties, equations, and their connection to exponential functions.

Subtopics
PropertiesEquationsChange of baseNatural logarithmExponential-log relationships
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