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AMC 10

Competition

AMC 10 preparation: algebra, counting, number theory and geometry at contest depth, with full-length practice contests.

8 topics · 34 lessons about 19 hoursBefore this: Algebra 1, Geometry, Counting & Probability

What you'll be able to do

  • Attack AMC 10 problems 1–25 systematically
  • Use the algebraic and geometric weapons that recur

Start the course

Go through each topic step by step — prose, worked examples, quick checks, and a timed practice round after every section.

Every test ends with a score by topic and a list of what to revisit. Test out of a topic with 80% or better to mark it mastered.

Topics

1.

Circles & Lines

5 lessons

Distances, angle bisectors, tangents, and conic meetings

2.

Algebra & Polynomials

3 lessons

Vieta, the remainder theorem, and systems

3.

Counting: Inclusion–Exclusion & Stars and Bars

3 lessons

The two workhorses of AMC counting

4.

Number Theory: Modular Arithmetic

3 lessons

Congruences, Fermat, and bases

5.

Geometry: Power of a Point & Mass Points

3 lessons

Circle power and weighted balancing

6.

Algebraic Weapons

3 lessons

Factorizations and substitutions that crack hard problems

7.

Where the Formulas Come From

5 lessons

The quadratic formula, series sums, and circle power — derived

8.

Complete Syllabus & Gap Fillers

2 lessons

Everything the AMC 10 tests, with the pieces that were missing

9.

Formulas & Methods

3 lessons

The AMC 10 formula sheet with the methods behind each entry

10.

Identities and Techniques, Proved

9 lessons

The hockey stick, Vandermonde, absorption, stars and bars, inclusion–exclusion and linearity — each one proved, not just stated