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AMC10/12 Selected Topics

Four knowledge groups and 13 topics, with concise teaching points, step-by-step examples and practice linked directly to the question bank. AMC12 extensions are identified explicitly.

Arithmetic, ratios, rates and averages

Equations, inequalities and absolute value

Functions and polynomials

Sequences, series and recurrences

Number theory I: divisibility, divisors and primes

Number Theory II: congruences, digits, bases, and floor functions

Counting and Combinatorics

Probability and Expected Value

Euclidean Geometry: Triangles, Similarity, and Area

Circles and Tangency

Coordinates, Transformations, and Lattice Points

Spatial Geometry and Reasoning

Logic, invariants, and discrete processes

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