SAT Math Prep
Free SAT Math prep in one place. Start with a diagnostic to find your gaps, learn each skill with interactive lessons, drill specific skills, then take a full timed practice test.
Diagnostic
16 questions covering all four domains. Your pacing is measured as you go. Get a full insight report showing strengths, gaps and pacing patterns.
Learn
Interactive lessons for each SAT Math skill, with worked examples, practice and a short challenge at the end. Your progress is saved as you go.
Topic Drill
Pick a skill and drill 10 focused questions with immediate feedback after each answer, including Desmos solution walkthroughs.
Full Practice Test
44 questions, 70-minute countdown. Mirrors the Digital SAT module format. Full insight report on completion. Registration is optional.
Progress is saved in this browser.
Your progress will not be saved and your responses for this session will not be recorded. This cannot be undone.
Your Results
Use this to identify where to focus your preparation.
Complete 16 or more questions to see your estimated SAT score range.
Our tutors work on exactly these areas in Subject Tutoring sessions on AperioHub Connect.
What the Digital SAT Math tests
The Digital SAT Math section covers four domains and 19 skills. Understanding what each one tests is the starting point for targeted preparation. Every skill below links to its own free interactive lesson.
Algebra and Advanced Math are the two largest domains, each about 35% of questions (13 to 15 on the test). Algebra covers linear equations in one and two variables, linear functions, systems of two linear equations, and linear inequalities. The core skill is fluency with algebraic manipulation: isolating variables, substituting between equations, and interpreting graphs of linear functions.
The most common student errors are sign mistakes when rearranging equations, incorrect substitution in systems, and misreading inequality direction when multiplying or dividing by a negative. Students who check by substituting their answer back into the original equation avoid most of these errors. Desmos is useful for systems: graph both lines and read the intersection point directly.
Advanced Math is about 35% of questions (13 to 15 on the test). It focuses on equivalent expressions, nonlinear equations and systems, and nonlinear functions including quadratics and exponentials. Questions require factoring, expanding, completing the square, applying the quadratic formula, and interpreting nonlinear functions from equations and graphs.
Desmos provides the clearest time advantage here. Graphing a quadratic and reading the zeros or vertex is typically faster than algebraic manipulation. The key student error is sign mistakes in factoring or when applying the quadratic formula. For equivalent expression questions, substituting a simple value and checking which answer choice produces the same result is a reliable strategy.
This domain is about 15% of questions (5 to 7 on the test) and tests quantitative reasoning rather than algebraic manipulation. It includes ratios, rates and proportional relationships, percentages, one-variable data analysis (mean, median, range, spread), two-variable data (scatter plots, line of best fit), probability and conditional probability, and interpreting statistical claims from study descriptions.
Students often underestimate this domain because the algebra is simpler, but the reasoning required is careful. Common errors include confusing mean with median, misreading conditional probability (the denominator changes), and drawing causal conclusions from correlational data. The statistical claims questions require no calculation but do require reading carefully and understanding the difference between association and causation.
Problem-Solving and Data Analysis domain page →Drill this domain →
Geometry and Trigonometry is about 15% of questions (5 to 7 on the test). It covers area and volume formulas, properties of lines and angles, triangle properties including similar triangles, right triangle trigonometry (SOH CAH TOA and special angles), and circles including arc length and sector area. The Digital SAT provides a reference sheet with key formulas, so knowing when to apply them matters more than memorising them.
Right triangle trigonometry is a consistent source of lost marks. The key is identifying the correct ratio relative to the given angle and the sides you know versus need. For circles, the most common error is confusing radius with diameter. Desmos is helpful for circle questions in the coordinate plane: entering the standard form equation shows centre and radius immediately.
SAT Math prep: common questions
The Digital SAT Math section covers four domains: Algebra (about 35% of questions), Advanced Math (about 35%), Problem-Solving and Data Analysis (about 15%) and Geometry and Trigonometry (about 15%). Together they include 19 skills, each with its own interactive lesson here.
There are 44 questions in 70 minutes, split into two 35-minute modules of 22 questions each. The second module adapts to how you did on the first.
Yes, on every question. The Desmos graphing calculator is built into the Bluebook testing app, and you may also bring an approved calculator of your own.
Yes. The lessons, diagnostic and topic drills are free with no login. The full practice test is also free, with optional registration if you want your results emailed to you.
Start with the free diagnostic to find your weakest areas. Then work through the lessons for those skills, use topic drills to practise them, and finish with a timed full practice test to check your pacing.
When you know the gap, we know the tutor.
SAT Math tutors from leading US universities, available one-to-one. Work on exactly the domain your diagnostic identified. Pay per session, no package required.