This page maps the math testing points of the digital PSAT/NMSQT and PSAT 10 — College Board publishes one set of content specifications for both — to the Brilliant lessons that teach them. Search by domain or skill to find the closest match. A testing point is listed only where Brilliant content fully or in part addresses the testing point directly.
Algebra (≈35% / 13–15 questions)
| PSAT testing point |
What the testing point asks |
Brilliant targeted skill |
| ALG.1 |
Create, solve, and interpret linear equations in one variable |
Linear Equations — Classifying equations by solutions, Combining fractional terms, Combining groups of expressions, Combining like terms to solve, Combining negatives to solve, Finding missing values with negatives, Finding unknown values, Modeling with linear equations, Recognizing equations with many solutions, Recognizing equations with no solution, Solving equations by distributing, Solving equations by factoring, Solving equations with fractions, Solving equations with parentheses, Solving for negative answers, Solving two-step equations, Solving with reciprocals, Solving with subtracted variables, Solving with variables on both sides, Working with negative coefficients; Solving Equations — Combining terms in equations, Finding unknown values, Identifying equation results, Solving after combining, Solving grouped equations, Solving one-step equations, Transforming equations, Writing balanced equations, Writing equations from scales, Writing grouped equations |
| ALG.2 |
Write and interpret linear equations in two variables |
Proportional Reasoning — Comparing proportional graphs, Graphing proportional relationships, Writing proportional equations; Linear Relationships — Computing slope, Finding perpendicular slopes, Graphing from point-slope form, Graphing lines from intercepts, Graphing lines from slope, Interpreting intercepts, Writing parallel line equations, Writing perpendicular line equations, Writing point-slope equations, Writing standard form equations; Coordinate Plane — Plotting horizontal and vertical lines; Solving Equations — Substituting known values; Linear Systems — Writing equations from constraints |
| ALG.3 |
Model, evaluate, and interpret linear functions |
Visual Algebra — Building expressions from rate and start, Comparing pattern growth rates, Describing steady growth, Finding counts at faraway steps, Writing expressions for each shape, Writing rules for growing patterns, Writing separate even and odd rules; Linear Relationships — Calculating rates of change, Evaluating linear equations, Extending linear patterns, Finding constant change, Finding starting values, Graphing real-world relationships, Reading linear patterns, Writing slope-intercept equations; Introduction to Functions — Following function rules, Identifying function rules, Matching input-output pairs, Plotting numeric functions, Writing numeric function rules; Regression — Predicting from a model equation |
| ALG.4 |
Create and solve systems of two linear equations |
Solving Equations — Choosing what to substitute, Multiplying to eliminate, Setting up elimination, Solving by subtracting equations, Solving systems by combining, Solving systems by substitution, Solving with substitution; Linear Systems — Counting solutions to a system, Eliminating by adding equations, Finding solutions by graphing, Scaling equations to eliminate, Solving systems by graphing, Testing points in equations |
| ALG.5 |
Create, solve, and graph linear inequalities |
Linear Systems — Checking points in inequalities, Classifying inequality solutions, Graphing inequality constraints, Graphing inequality solutions, Identifying inequality solutions, Writing inequality systems; Coordinate Plane — Combining two inequalities, Identifying strip regions, Reading solid and dashed boundaries, Shading regions for inequalities; Linear Equations — Comparing deals with percentages, Dividing by negatives in inequalities, Graphing compound inequalities, Identifying inequality solutions, Solving compound inequalities, Solving multi-step inequalities, Solving multi-step negative inequalities, Solving one-step inequalities, Writing compound inequalities; Solving Equations — Distinguishing inequality types, Finding inequality solutions, Graphing inequalities, Solving for boundary values, Translating words to inequalities, Writing inequalities from scales; Linear Relationships — Graphing linear inequalities, Identifying inequality solutions, Writing linear inequalities |
Advanced Math (≈32.5% / 12–14 questions)
| PSAT testing point |
What the testing point asks |
Brilliant targeted skill |
| ADV.1 |
Factor and rewrite polynomial expressions |
Polynomials — Adding polynomials, Factoring out monomials, Multiplying monomials, Multiplying polynomials, Subtracting polynomials, Working with multivariable polynomials; Solving Equations — Combining like terms, Distributing over a sum, Distributing over groups, Factoring common factors, Factoring into groups; Quadratics — Combining like terms, Combining signed terms, Combining terms with coefficients, Completing factors with negatives, Completing partial factorizations, Determining signs in products, Expanding binomial products, Factoring signed quadratics fully, Factoring simple quadratics, Factoring with leading coefficients, Factoring with negative constants, Finding constant terms, Finding linear terms, Multiplying with negative numbers, Recognizing perfect square patterns; Visual Algebra — Combining pattern expressions, Identifying equivalent expressions, Writing equivalent expressions; Linear Equations — Combining terms with decimals, Finding the greatest common factor; Coordinate Geometry — Identifying equivalent area expressions |
| ADV.2 |
Solve quadratic, absolute value, rational, and radical equations |
Equations and Curves — Building equations from intersections, Controlling the number of intersections, Finding intersection points; Negative Numbers — Calculating absolute value of sums, Finding numbers at a given distance, Solving absolute value conditions; Quadratics — Checking solutions by substitution, Classifying solution types, Completing squares with fractions, Completing the square, Determining number of solutions, Isolating squared variables, Reading solutions from graphs, Solving by completing the square, Solving equations by factoring, Solving shifted square equations, Solving with square roots, Using the discriminant, Using the quadratic formula |
| ADV.3 |
Model and interpret quadratic and exponential functions |
Equations and Curves — Applying shifts and stretches, Combining multiple transformations, Completing hyperbola equations, Identifying power function graphs, Identifying transformed graphs, Matching equations to graphs, Matching equations to graphs, Matching rational functions to graphs, Shifting the square root graph, Stretching and reflecting root graphs, Transforming hyperbola graphs, Transforming the square root graph; Polynomials — Applying single transformations, Combining transformations, Evaluating polynomials, Evaluating power functions, Identifying transformed features, Matching equations to graphs, Matching graphs to factored form; Visual Algebra — Breaking patterns into parts, Describing exponential growth, Describing growth that speeds up, Finding counts when growth speeds up, Identifying types of growth, Seeing squares inside patterns, Writing exponential expressions, Writing expressions as length times width; Exponential Functions — Build a decay function with a fractional base, Build an exponential function from non-integer points, Build an exponential function from plotted points, Build an exponential function over negative domain, Compare exponential growth to linear growth, Compare exponential growth to quadratic growth, Compare two exponential functions, Deduce an exponential function from two points, Evaluate an exponential at negative x-values, Evaluate an exponential at non-integer x-values, Evaluate an exponential expression, Express decay with a negative exponent, Find the base of an exponential function, Graph and compare compound interest functions, Identify exponential decay from a dot pattern, Identify exponential growth from a dot pattern, Set the coefficient of an exponential function, Write a compound growth or decay expression; Introduction to Functions — Combining reflections and stretches, Identifying function intervals, Reading continuous function graphs, Reflecting functions across axes, Sliding Function Graphs, Stretching Function Graphs; Quadratics — Connecting intercepts to factors, Converting to vertex form, Evaluating quadratic equations, Finding maximum and minimum values, Finding the axis of symmetry, Finding the vertex, Finding vertices using symmetry, Graphing by factoring, Graphing parabolas from vertex form, Plotting points on parabolas, Writing equations from graphs, Writing vertex form equations; Logarithms — Find the exponent in an exponential equation |
Problem-Solving and Data Analysis (≈20% / 7–9 questions)
| PSAT testing point |
What the testing point asks |
Brilliant targeted skill |
| PSDA.1 |
Solve problems with ratios, rates, proportions, and units |
Proportional Reasoning — Comparing ratios with unit rates, Comparing unit prices, Finding the scale factor, Finding totals from ratios, Finding unit rates, Identifying equivalent ratios, Relating totals, rates, and amounts, Scaling by a given factor, Scaling recipes to a target, Scaling with non-whole numbers, Simplifying ratios, Writing equivalent ratios; Exploring Data Visually — Create a new column from existing columns, Creating new data columns |
| PSDA.2 |
Solve percent and percent-change problems |
Percents — Calculating a percentage of a number, Calculating compound percent changes, Comparing split and single changes, Computing repeated percent growth, Converting percentages to fractions, Finding the percentage from two numbers, Reversing a percentage calculation, Writing compound change expressions, Writing percent change expressions; Exploring Data Visually — Reading pie charts; Linear Equations — Writing percent change expressions |
| PSDA.3 |
Interpret data distributions and measures of center and spread |
Everyday Statistics — Combining groups to find the mean, Comparing data above and below the mean, Comparing data sets with box plots, Comparing mean, median, and mode, Finding the mean (the average) of a data set, Finding the mean of uneven data, Finding the median, Finding totals from the mean, Matching data to box plots, Predicting how new data shifts the mean, Reading box plots, Seeing how outliers affect the mean, Splitting data into quarters, Updating the mean with new data, Updating the median with new data; Exploring Data Visually — Compare boxplots across datasets, Find frequencies and percentiles from a histogram, Group a data table to summarize categories, Read and compare bars on a bar chart, Read median, quartiles, and extremes from a boxplot, Reading histograms; Regression — Detecting hidden groups in data |
| PSDA.4 |
Interpret scatterplots and fit models to data |
Regression — Choosing a model for curved data, Predicting from a regression line, Spotting nonlinear relationships, Transforming variables to straighten data; Exploring Data Visually — Describe the relationship in a scatter plot, Describing how two things relate, Identify and extend a trend on a line graph, Read coordinates of points on a scatter plot, Reading line graphs, Reading scatter plots, Spotting trends over time |
| PSDA.5 |
Find probabilities and conditional probabilities from data |
Probability and Chance — Calculating probability, Changing probability by removing options, Comparing the likelihood of outcomes, Finding probability given a condition, Finding the probability of both events, Finding the probability of either event; Probability in Data — Estimating probabilities from past data, Finding conditional probabilities from data, Judging how often a rule fails; Exploring Data Visually — Find percents of a whole from a pie chart |
Geometry and Trigonometry (≈12.5% / 4–6 questions)
| PSAT testing point |
What the testing point asks |
Brilliant targeted skill |
| GEO.1 |
Solve area, surface area, and volume problems |
Coordinate Geometry — Calculating rectangle area, Calculating right triangle area, Finding compound shape area, Writing area expressions with variables; Geometry and Measurement — Compare volumes by slicing and rearranging, Find and compare perimeters of figures, Find circumference from radius or diameter, Find surface area by adding face areas, Find surface area from base area and perimeter, Find volume as area of the base times height, Relate areas of similar shapes using scale factor, Use the one-third relationship for pyramids and cones |
| GEO.2 |
Apply angle, congruence, and similarity theorems |
Geometry and Measurement — Compare angle measures in a diagram, Find the scale factor and unknown lengths, Find unknown angles around a point or on a line, Find unknown angles made by lines and in triangles, Match corresponding angles in similar shapes, Write an equation relating labeled angles; Coordinate Transformations — Proving similarity |
| GEO.3 |
Use the Pythagorean theorem and right triangle trigonometry |
Coordinate Geometry — Applying the Pythagorean theorem to areas, Calculating a circle's radius, Calculating distance from coordinates, Finding side lengths with the Pythagorean theorem; Trigonometric Functions — Finding special right triangle sides |
How this page is built
Every skill in Brilliant's math skill hierarchy is mapped to the single testing point it aligns with most closely, using College Board's Assessment Framework for the Digital SAT Suite (version 3.01, August 2024) as the authority for what each testing point requires and where its boundaries fall. Skills that build toward a testing point without teaching its stated content are excluded, so a skill appears here only where it addresses the testing point directly.
Each skill links to a lesson where it is practised, and hovering a skill shows the description learners see for it. This page is regenerated from the mapping, so it reflects the current state rather than a fixed snapshot.
