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SAT Math Question Types

The Digital SAT Math section organizes every question into four content domains. Algebra and Advanced Math make up the bulk of the section at roughly 35% each, followed by Problem-Solving and Data Analysis at 15% and Geometry and Trigonometry at 15%. Each guide below covers a specific question type with worked examples, strategies, and practice problems.

Aiming for the top of the scale? Try our 10 hardest SAT Math questions with explanations of the traps behind each one.

Algebra

~35%

Linear equations, inequalities, functions, and systems — the foundation of the SAT Math section and the first category you should master.

Linear Equations in One Variable
Solve for a single unknown. Isolate variables across equations of the form ax + b = c, including problems that require distributing and combining like terms.
Linear Equations in Two Variables
Work with equations in the form y = mx + b. Interpret slope and intercept, and translate between verbal descriptions and algebraic form.
Linear Functions
Analyze f(x) = mx + b in function notation. Evaluate inputs and outputs, identify slope as a rate of change, and interpret function values in context.
Systems of Linear Equations
Solve two-equation systems using substitution, elimination, or graphing. Determine when systems have zero, one, or infinitely many solutions.
Linear Inequalities
Solve and graph inequalities in one or two variables. Identify feasible regions and interpret constraints in real-world contexts.

Advanced Math

~35%

Nonlinear equations, quadratic and exponential functions, polynomial manipulation, and equivalent expressions — the most algebraically demanding part of the test.

Equivalent Expressions
Factor, expand, simplify, and combine polynomial and rational expressions. Recognize when two expressions are algebraically equivalent.
Nonlinear Equations & Systems
Solve quadratic, absolute value, radical, and rational equations, count real solutions with the discriminant, and solve systems where a line meets a parabola.
Nonlinear Functions
Work with quadratic, exponential, and other nonlinear functions. Interpret vertex form, exponential growth and decay, and read key features from a graph.

Problem-Solving and Data Analysis

~15%

Proportional reasoning, percentages, units, statistics, and data interpretation — applied math using tables, graphs, and real-world contexts.

Ratios, Rates & Proportions
Set up and solve proportions, convert between units, and apply rates to distance, work, and mixture problems.
Percentages
Compute percent increase and decrease, reverse percent problems, and interpret percentage change in real-world scenarios.
Distributions, Center & Spread
Compute and interpret mean, median, range, and standard deviation. Compare distributions shown in histograms, dot plots, and box plots.
Two-Variable Data & Scatterplots
Interpret scatterplots and lines of best fit. Distinguish linear, quadratic, and exponential models from their graphical signatures.
Probability
Calculate probabilities from two-way tables and event descriptions. Apply conditional probability and interpret results in context.
Data Inference & Margin of Error
Interpret sample-based estimates, confidence intervals, and margin of error. Recognize valid generalizations from sample data.
Evaluating Statistical Claims
Evaluate study designs. Determine whether conclusions can be generalized to a population or whether cause-and-effect can be inferred.

Geometry and Trigonometry

~15%

Area, volume, angle relationships, circles, right-triangle trigonometry, and radian measure — the smallest domain but often the most formula-heavy.

Area & Volume
Compute area, perimeter, surface area, and volume for two- and three-dimensional figures. Apply composite-shape reasoning.
Lines, Angles & Triangles
Apply angle relationships from parallel lines, triangle properties, similarity, congruence, and the Pythagorean theorem.
Circles
Work with circle equations in standard and general form. Apply arc length, sector area, and central/inscribed angle relationships.
Trigonometry
Apply sine, cosine, and tangent in right triangles. Convert between degrees and radians and use trig identities on the unit circle.