Topic 1 · Algebra

Core algebra tools

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  Vieta's Formulas

  ~15 min·practice inside

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  Simon's Favorite Factoring Trick

  ~14 min·practice inside

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  Telescoping Sums

  ~13 min·practice inside

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  Rate, Work & Mixture Word Problems

  ~14 min·practice inside

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  Floor & Ceiling Functions

  ~14 min·practice inside

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Sequences & series

Finish every section in Chapter 1 to unlock.

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  Arithmetic & Geometric Sums

  ~16 min·practice inside

Inequalities & logarithms

Finish every section in Chapter 2 to unlock.

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  The AM–GM Inequality

  ~15 min·practice inside
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  Logarithms from Scratch

  ~16 min·practice inside
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  Inequality Techniques

  ~16 min·practice inside
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  Absolute-Value Inequalities

  ~15 min·practice inside

Complex numbers

Finish every section in Chapter 3 to unlock.

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  Complex Numbers

  ~16 min·practice inside
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  Roots of Unity & De Moivre

  ~18 min·practice inside

Polynomial division

Finish every section in Chapter 4 to unlock.

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  Polynomial Division

  ~16 min·practice inside
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  Polynomial Interpolation

  ~16 min·practice inside

Functions

Finish every section in Chapter 5 to unlock.

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  Functions & Composition

  ~16 min·practice inside
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  Functional Iteration

  ~16 min·practice inside

AMC 12 · 1% problems

Finish every section in Chapter 6 to unlock.

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  Newton's Sums (Power Sum Recursion)

  ~18 min·practice inside