Digital SAT
SAT Math practice and prep course
Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. Start with 328 free questions. The full course adds the lessons, the study guide, and practice tests.
Course outline
- How Digital SAT Math Is OrganizedThe structure of the two Math modules, how routing works, the four domains, and the habits that help familiar skills show up in unfamiliar forms.20 questions
- Diagnostic TestA 22-question, 35-minute diagnostic module with a skills map that sends each missed question to the section of the course that teaches it.22 questions
- Linear Equations in One and Two VariablesSolve one-variable equations, classify solution counts, rearrange formulas, and move between slope-intercept, point-slope, and standard forms of a line.39 questions
- Linear Functions: Rate of Change and Initial ValueRead slope as a rate and the intercept as a starting value, use units, solve models forward and backward, and compare linear plans from equations, tables, and graphs.35 questions
- Systems of Linear EquationsSolve systems by substitution and elimination, build target expressions, classify one, none, or infinitely many solutions, and set up systems from word problems.37 questions
- Linear Inequalities in One and Two VariablesSolve and graph linear inequalities, flip the sign for negatives, handle compound and absolute-value inequalities, and find solution regions of systems.36 questions
- Equivalent ExpressionsExpand, factor, and simplify polynomials and rational expressions, and choose the equivalent form that reveals zeros, constants, or structure.36 questions
- Function Notation and TransformationsEvaluate and solve with function notation, find domain and range, compose functions, read inverses, and apply shifts, reflections, and stretches to graphs.37 questions
- Quadratic Forms and FeaturesRead a parabola's roots, vertex, intercept, and axis from standard, factored, and vertex form, and use sum and product of roots, symmetry, and context.38 questions
- Quadratic Equations and the DiscriminantUse the discriminant to count real solutions, find parameters that give one, two, or no roots, and read a parabola's graph for the signs of its coefficients.34 questions
- Nonlinear Equations in One VariableSolve quadratics by factoring, square roots, or the formula; handle radical and rational equations; and count intersections of nonlinear systems.38 questions
- Exponential Models and Exponent RulesUse exponent rules and rational exponents, and build and read exponential growth and decay models from percent changes, half-lives, and tables.38 questions
- Ratios, Rates, Proportional Relationships, and UnitsScale ratios and proportions, find unit rates, and convert units (including squared and cubed ones) by cancellation, with the Part III introduction to Problem-Solving and Data Analysis.37 questions
- PercentagesCompute percents and percent change, translate more-or-less language into factors, undo a change to find the original, and stack successive changes.34 questions
- One-Variable Data: Distributions, Center, and SpreadCompare mean, median, and mode, read histograms, dot plots, and box plots, and predict how outliers, shape, shifts, and scaling change center and spread.39 questions
- Two-Variable Data: Models and ScatterplotsRead scatterplots, interpret slope, intercept and residuals of a fitted model, pick linear, quadratic or exponential models, and know when predictions and causal claims go too far.35 questions
- Probability and Conditional ProbabilityTurn two-way tables and area models into probabilities, and learn how the word 'given' changes the denominator in conditional, union, complement, and independence questions.35 questions
- Inference, Margin of Error, and Statistical ClaimsLearn what a study can honestly claim: margin of error and confidence intervals, random sampling versus random assignment, bias, and when a result shows cause or generalizes.34 questions
- Lines, Angles, and TrianglesAngle relationships, parallel lines and transversals, triangle angle sums and exterior angles, and the triangle inequality, chained together to solve crowded diagrams.37 questions
- Triangle Similarity and CongruenceCongruent versus similar triangles, AA similarity, proportions for missing lengths, parallel-line dividers, bow ties, scale factors for area and volume, and congruence criteria.39 questions
- Right Triangles and TrigonometryThe Pythagorean theorem and triples, 45-45-90 and 30-60-90 triangles, sine, cosine, and tangent, and the complementary-angle identity for sine and cosine.37 questions
- CirclesCircumference, area, arcs, sectors, central and inscribed angles, tangents, radians, and the equation of a circle, all built from one idea: take the right fraction of a whole-circle quantity.36 questions
- Area and VolumeChoose the right area or volume formula, break composite figures into simple pieces, run formulas backward for a missing dimension, and apply scale factors to similar solids.36 questions
- Coordinate GeometryUse distance, midpoint, and slope to read geometry off coordinates: classify figures, test points against circles, and connect lines, distances, and circle equations.37 questions
- Special Right Triangles and the Unit CircleUse 45-45-90 and 30-60-90 ratios, complementary sine and cosine, the unit circle, reference angles, and angles of elevation to read trigonometric values exactly.32 questions
- Desmos for Equations, Systems, Functions, and DataUse the built-in Desmos calculator to solve equations and systems, find vertices and zeros, define functions, and fit data, and learn when hand work is faster.15 questions
- The Two Adaptive Math ModulesHow the two 35-minute adaptive Math modules work, what Module 1 decides, and how to use mark-for-review and a no-blank rule to protect your score.Lesson
- Back-Solving and Strategic Test ValuesWork backward from numeric answer choices or plug in your own easy numbers to turn awkward algebra, percent, and must-be-true questions into quick arithmetic.8 questions
- Student-Produced Responses in BluebookThe rules for entering grid-in answers on the Digital SAT: fractions, decimals, negatives, mixed numbers, symbols, and the final check that you answered what was asked.6 questions
- Pacing Two 35-Minute Math ModulesBudget your time across a 22-question module, run first and second passes, triage flagged questions, leave nothing blank, and always answer the exact quantity asked.9 questions
- Domain Mastery Set A: AlgebraTwelve mixed Algebra questions testing derived targets, parameter systems, underdetermination, and representation switches without naming the topic.12 questions
- Domain Mastery Set B: Advanced MathTwelve mixed Advanced Math questions on equivalent expressions, parameters, root relationships, nonlinear systems, and domain restrictions.12 questions
- Domain Mastery Set C: Problem-Solving and Data AnalysisTwelve mixed data-analysis questions on units, percents, data displays, model fit, conditional probability, margin of error, and study design.12 questions
- Domain Mastery Set D: Geometry and TrigonometryTwelve mixed Geometry and Trigonometry questions on congruence, tangent circles, slant height, the unit circle, and coordinate geometry.12 questions
- Advanced Module 2 Practice SetTwenty-two hard mixed-domain questions organized by mechanism: parameters, hidden relationships, representation changes, geometry-algebra combinations, and contexts.22 questions
- Benchmark Test: Module 1A full-length, 22-question fixed-form SAT Math module under real timing, with answers and worked solutions.22 questions
- Benchmark Test: Module 2The second, somewhat harder 22-question benchmark module, with answers and worked solutions.22 questions
- Reference Sheet and Test DayThe formulas Bluebook provides, the facts to know cold, and a plan for the week before, the morning of, and the test itself.Lesson