Digital SAT Math: Free Diagnostic & Study Guide

The full Digital SAT Math section: Algebra, Advanced Math, Problem-Solving & Data Analysis, and Geometry & Trigonometry.

Instead of a single score, this free adaptive diagnostic maps your performance across every Digital SAT Math micro-topic and returns a color-coded Weakness Index — so you know exactly which concepts to study next. It's 34 questions, adapts to your level, and needs no sign-up.

Domains covered

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Every Digital SAT Math micro-topic we diagnose

Your report scores each of these 17 skills separately, using difficulty-weighted accuracy and a confidence level, so weak spots can't hide inside an overall score.

  • Linear equations in one variable
  • Linear equations in two variables
  • Linear functions
  • Systems of two linear equations
  • Linear inequalities
  • Equivalent expressions
  • Quadratic equations
  • Exponential expressions & functions
  • Nonlinear functions
  • Ratios, rates & proportions
  • Percentages
  • Statistics: mean, median, range
  • Probability
  • Area & volume
  • Lines, angles & triangles
  • Circles
  • Right triangles & trigonometry

How the diagnostic works

  1. Adaptive questions: get one right and the next is harder; miss it and the next is easier — so we find your true level fast.
  2. Difficulty-weighted scoring: harder questions count for more, giving a fairer picture than raw percent-correct.
  3. Weakness Index: a Red/Green breakdown by micro-topic, plus a careless-slip vs concept-gap split and a worked explanation for every question.

Frequently asked questions

Is the Digital SAT Math diagnostic free?

Yes. The Digital SAT Math diagnostic and its Weakness Index report are completely free, with no sign-up or credit card required.

How many questions is the Digital SAT Math diagnostic?

A full Digital SAT Math diagnostic is about 34 adaptive questions covering all 17 micro-topics, and takes roughly 25–35 minutes.

Are the questions official SAT questions?

No. All questions are original and AI-generated in the style of the Digital SAT. They follow the official domain structure but do not reproduce College Board questions.

Ready to find your Digital SAT Math gaps?

All questions are original and AI-generated. SAT® is a trademark of the College Board, which does not endorse this site.