Learning ResourcesAlignment Mappings

GMAT Quant coverage: topic-by-topic Brilliant lesson mapping

This page maps the quantitative content of the GMAT Focus Edition to the Brilliant lessons that teach it. Search by topic or skill to find the closest match. A topic is listed only where Brilliant content fully or in part addresses it directly.

The Focus Edition narrowed what the Quantitative Reasoning section asks: geometry was removed outright, and Data Sufficiency moved to the Data Insights section, which also carries table analysis, graphics interpretation, and multi-source reasoning. The rows below are grouped accordingly — the Quantitative Reasoning topics first, then the quantitative content that Data Insights assesses instead.

GMAC does not publish reference codes for these topics, so the codes shown here (QR.ARI.1, DI.2, and so on) are Brilliant's own shorthand: the section's abbreviation followed by the topic's position in GMAC's ordering.

Quantitative Reasoning — Arithmetic

GMAT topic What the topic asks Brilliant targeted skill
QR.ARI.1 Elementary operations. The four operations on integers, fractions, and decimals; signed numbers; order of operations; powers and roots applied to numbers; estimation and approximation as a route to an answer choice. Fractions — Adding fractions with different denominators, Adding fractions with shapes, Adding related fractions, Adding same-denominator fractions, Adding unrelated fractions, Multiplying fractions, Multiplying whole numbers by fractions, Shading fraction products on shapes, Showing fraction multiples on shapes, Showing fraction sums on shapes, Showing fractions of fractions, Solving fraction multiplication equations, Writing fraction multiples; Negative Numbers — Adding on the number line, Adding positive and negative numbers, Adding with signed tiles, Calculating absolute value of sums, Counting signed tile values, Evaluating expressions step by step, Rewriting subtraction as addition, Subtracting on the number line, Subtracting positive and negative numbers, Subtracting with signed tiles; Exponents and Radicals — Applying order of operations with exponents, Distinguishing negation from negative bases, Estimating with scientific notation, Evaluating cube roots and higher roots, Evaluating cubes, Evaluating expressions inside radicals, Evaluating fraction bar expressions, Evaluating general fractional exponents, Evaluating multi-operation expressions, Evaluating negative-base powers, Evaluating nested grouping expressions, Evaluating perfect squares, Evaluating powers and roots with arithmetic, Evaluating powers of negative one, Evaluating square roots, Evaluating unit fraction exponents, Evaluating whole-number powers, Evaluating zero-exponent expressions, Multiplying and dividing in scientific notation; Logarithms — Find the exponent in an exponential equation
QR.ARI.2 Value, order, and factors. Comparing and ordering values; the number line and absolute value as distance; place value; factors, multiples, divisibility rules and remainders; prime numbers; greatest common divisor and least common multiple; even/odd and other integer properties; perfect squares. Negative Numbers — Calculating distance with subtraction, Comparing positive and negative numbers, Finding distance on the number line, Finding numbers at a given distance, Solving absolute value conditions; Fractions — Comparing any two fractions, Comparing fractions using shapes, Comparing fractions with matching parts, Comparing fractions with unlike denominators, Comparing same-denominator fractions, Comparing same-numerator fractions; Exponents and Radicals — Dividing with prime factorizations, Estimating magnitude with powers of ten, Estimating non-perfect square roots, Expressing numbers in scientific notation, Finding prime factorizations, Locating consecutive powers on number lines, Locating cubes on number lines, Locating multiples of powers, Locating negative powers on number lines, Multiplying with prime factorizations; Visual Algebra — Using mod notation for patterns, Using remainders to predict repeating patterns
QR.ARI.3 Rates, ratios, and percents. Ratio and proportion; unit rate; speed, distance, and work rates; mixtures; percent of a quantity, percent increase and decrease; interest; profit, cost, markup, and discount. Proportional Reasoning — Adjusting ratios in mixtures, 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; 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, Showing percent increases and decreases, Visualizing compound percent changes, Visualizing percentages on bars, Writing compound change expressions, Writing percent change expressions; Linear Relationships — Calculating rates of change, Finding constant change; Exponential Functions — Graph and compare compound interest functions, Write a compound growth or decay expression
QR.ARI.4 Basic descriptive statistics. Mean, median, mode, range, and standard deviation (GMAC's own enumeration), including weighted averages and reasoning about how a data set's summary statistics respond to changes in the data. Everyday Statistics — Combining groups to find the mean, 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, Predicting how new data shifts the mean, Seeing how outliers affect the mean, Updating the mean with new data, Updating the median with new data
QR.ARI.5 Counting methods. The fundamental counting principle; permutations and combinations; systematic enumeration of possibilities. Probability and Chance — Counting outcomes across overlapping events, Counting possible outcomes

Quantitative Reasoning — Algebra

GMAT topic What the topic asks Brilliant targeted skill
QR.ALG.1 Algebraic expressions and manipulations. Writing and simplifying algebraic expressions; combining like terms; expanding and factoring; operating on polynomial and rational expressions; applying exponent and radical rules to variable expressions; substituting into and evaluating an expression or a function. Exponents and Radicals — Adding and subtracting like square roots, Applying the power rule for exponents, Applying the product rule for exponents, Applying the quotient rule for exponents, Combining exponent rules to simplify, Connecting fractional exponents to radicals, Multiplying square root expressions, Rewriting with negative exponents, Simplifying and combining unlike radicals, Simplifying multi-base quotients, Simplifying negative exponents in denominators, Simplifying products with exponent zero, Simplifying with negative exponents; Polynomials — Adding polynomials, Applying parity properties, Evaluating polynomials, Evaluating power functions, Factoring out monomials, Factoring power differences, Finding the y-intercept, Multiplying monomials, Multiplying polynomials, Subtracting polynomials, Working with multivariable polynomials; Visual Algebra — Breaking patterns into parts, Combining pattern expressions, Identifying equivalent expressions, Seeing squares inside patterns, Writing equivalent 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, Set the coefficient of an exponential function; Solving Equations — Combining like terms, Combining terms in equations, Distributing over a sum, Distributing over groups, Factoring common factors, Factoring into groups, Reasoning with grouped expressions; Quadratics — Combining like terms, Combining signed terms, Combining terms with coefficients, Completing factors with negatives, Completing partial factorizations, Completing the square, Converting to vertex form, Determining signs in products, Evaluating quadratic equations, 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 area models, Multiplying with negative numbers, Plotting points on parabolas, Recognizing perfect square patterns; Linear Equations — Combining terms with decimals, Evaluating linear expressions, Finding the greatest common factor, Substituting negative values, Writing and simplifying expressions, Writing percent change expressions; Introduction to Functions — Evaluating composite functions, Following conditional rules, Following function rules, Identifying conditional rules, Identifying function rules, Matching input-output pairs, Writing composite function expressions, Writing numeric function rules; Coordinate Geometry — Writing area expressions with variables
QR.ALG.2 Solving equations and inequalities. Solving linear equations; quadratic equations, including by factoring and the quadratic formula; systems of simultaneous equations; absolute-value equations; linear and simple nonlinear inequalities; reasoning about how many solutions an equation admits. Solving Equations — Chaining reasoning across equations, Checking value constraints, Choosing what to substitute, Deriving new equations, Distinguishing inequality types, Finding inequality solutions, Finding unknown values, Finding value ranges, Identifying equation results, Multiplying to eliminate, Setting up elimination, Solving after combining, Solving by subtracting equations, Solving for boundary values, Solving grouped equations, Solving one-step equations, Solving systems by combining, Solving systems by substitution, Solving with substitution, Substituting known values, Transforming equations; Quadratics — Checking solutions by substitution, Classifying solution types, Completing squares with fractions, Determining number of solutions, Isolating squared variables, Solving by completing the square, Solving equations by factoring, Solving shifted square equations, Solving with square roots, Using the discriminant, Using the quadratic formula; Linear Equations — Classifying equations by solutions, Combining fractional terms, Combining groups of expressions, Combining like terms to solve, Combining negatives to solve, Dividing by negatives in inequalities, Finding missing values with negatives, Finding unknown values, Identifying inequality solutions, Recognizing equations with many solutions, Recognizing equations with no solution, Solving compound inequalities, Solving equations by distributing, Solving equations by factoring, Solving equations with fractions, Solving equations with parentheses, Solving for negative answers, Solving multi-step inequalities, Solving multi-step negative inequalities, Solving one-step inequalities, Solving two-step equations, Solving with reciprocals, Solving with subtracted variables, Solving with variables on both sides, Working with negative coefficients; Polynomials — Connecting roots and factors, Solving by factoring; Linear Systems — Counting solutions to a system, Eliminating by adding equations, Scaling equations to eliminate; Linear Relationships — Identifying inequality solutions
QR.ALG.3 Modeling and solving word problems with algebra. Translating a described situation into algebraic form — defining variables, writing the equation or system the situation implies — and solving it to answer the question asked; interpreting the result back in context. Linear Equations — Comparing deals with percentages, Modeling with linear equations; Linear Relationships — Evaluating linear equations, Writing linear inequalities, Writing slope-intercept equations, Writing standard form equations; Solving Equations — Translating words to inequalities, Writing balanced equations, Writing equations from scales, Writing grouped equations, Writing inequalities from scales; Linear Systems — Writing equations from constraints, Writing inequality systems; Proportional Reasoning — Writing proportional equations
QR.ALG.4 Elementary probability, sequences, and partial sums. Elementary probability of single and compound events, including complements and simple independent/mutually exclusive combinations; arithmetic and geometric sequences; sums of the first n terms. Probability in Data — Adding probabilities of separate outcomes, Combining probabilities with a formula, Finding probabilities of multi-step outcomes; Visual Algebra — Building expressions from rate and start, Building sequences from rules, Describing exponential growth, Describing steady growth, Finding counts at faraway steps, Writing exponential expressions, Writing expressions for each shape, Writing rules for growing patterns, Writing separate even and odd rules; Probability and Chance — Calculating probability, Changing probability by removing options, Comparing the likelihood of outcomes, Finding probability of two unrelated events, Finding the probability of both events, Finding the probability of either event, Finding the probability something won't happen; Exponential Functions — Identify exponential decay from a dot pattern, Identify exponential growth from a dot pattern

Data Insights — quantitative content outside the Quantitative Reasoning section

GMAT topic What the topic asks Brilliant targeted skill
DI.1 Data Sufficiency. Given a question and two statements labeled (1) and (2), decide whether the data given are sufficient to answer the question — analyzing a quantitative problem, recognizing which data are relevant, and determining at what point there is enough data to solve it, without solving it. Probability in Data — Choosing inputs for a simulation; Solving Equations — Evaluating mathematical statements
DI.2 Multi-Source Reasoning. Examining data spread across two or three sources — text passages, tables, graphics, or a combination — and analyzing each source to answer several questions: recognizing discrepancies between sources, drawing inferences, and judging whether a source is relevant. Exploring Data Visually — Making a data-backed recommendation
DI.3 Table Analysis. Sorting and analyzing a spreadsheet-like table of data to determine what information is relevant or meets a stated condition, and judging each of several statements true/false (or yes/no) against that condition. Exploring Data Visually — Creating new data columns, Filter a data table with conditions, Group a data table to summarize categories; Probability in Data — Estimating probabilities from past data
DI.4 Graphics Interpretation. Interpreting information presented in a graph or graphical image — scatter plot, x/y graph, bar chart, pie chart, statistical curve distribution (GMAC's own list) — to discern relationships and make inferences, completing statements from drop-down choices. Linear Systems — Checking points in inequalities, Identifying inequality solutions, Reading points on a graph; Exploring Data Visually — Compare boxplots across datasets, Describe the relationship in a scatter plot, Describing how two things relate, Find frequencies and percentiles from a histogram, Find percents of a whole from a pie chart, Identify and extend a trend on a line graph, Judging how strongly things relate, Read and compare bars on a bar chart, Read coordinates of points on a scatter plot, Read median, quartiles, and extremes from a boxplot, Reading and comparing bar charts, Reading histograms, Reading line graphs, Reading pie charts, Reading scatter plots, Spotting trends over time; Everyday Statistics — Comparing data sets with box plots, Matching data to box plots, Reading box plots; Proportional Reasoning — Comparing proportional graphs, Graphing proportional relationships; Regression — Detecting hidden groups in data, Reading correlation from a scatter plot; Polynomials — Finding roots from graphs, Identifying sign regions, Reading polynomial graphs; Introduction to Functions — Identifying function intervals, Reading continuous function graphs, Reading discontinuous function graphs, Reading periodic function graphs; Linear Relationships — Interpreting intercepts, Recognizing linear relationships; Quadratics — Reading solutions from graphs

How this page is built

Every skill in the Brilliant math courses that reach the level the GMAT tests is mapped to the single topic it aligns with most closely, using GMAC's published content specification for the GMAT Focus Edition as the authority for what each topic requires and where its boundaries fall. Skills that build toward a topic without teaching its stated content are excluded, so a skill appears here only where it addresses the topic 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.

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Last updated September 4, 2026

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