This page maps the content assessed by the GED® Mathematical Reasoning test to the Brilliant lessons that teach it. Search by assessment target or skill to find the closest match. A target is listed only where Brilliant content fully or in part addresses it directly.
GED Testing Service organizes the test into two content strands — Quantitative Problem Solving, about 45% of the test, and Algebraic Problem Solving, about 55% — divided into 15 assessment-target clusters holding 62 content indicators. The codes below are GED Testing Service's own: the leading letter is the strand, the digit is the cluster, and the trailing letter is the indicator within it, so Q.3.d is the fourth indicator of the ratios, percents and scale factors cluster.
The test also defines GED Mathematical Practices — reasoning behaviors such as building solution pathways and modeling. Those are not content indicators and are not mapped here.
Quantitative Problem Solving
Q.1 Apply number sense concepts
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| Q.1.a | Order fractions and decimals, including on a number line. (CCSS 4.NF.2; 6.NS.6; 6.NS.7 · DOK 1–2) | 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; Negative Numbers — Comparing positive and negative numbers, Locating numbers on the number line |
| Q.1.c | Apply rules of exponents in numerical expressions with rational exponents to write equivalent expressions with rational exponents. (CCSS 8.EE.1; N-RN.2 · DOK 1–2) | Exponents and Radicals — 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, Distinguishing negation from negative bases, Evaluating general fractional exponents, Evaluating negative-base powers, Evaluating powers of negative one, Evaluating unit fraction exponents, Evaluating whole-number powers, Evaluating zero-exponent expressions, Rewriting with negative exponents, Simplifying multi-base quotients, Simplifying negative exponents in denominators, Simplifying products with exponent zero, Simplifying with negative exponents |
| Q.1.d | Identify absolute value of a rational number as its distance from 0 on the number line, and determine the distance between two rational numbers on the number line, including using the absolute value of their difference. (CCSS 6.NS.7; 7.NS.1 · DOK 1–2) | Negative Numbers — Calculating absolute value of sums, Calculating distance with subtraction, Finding distance on the number line, Finding numbers at a given distance, Solving absolute value conditions; Coordinate Plane — Measuring gridline distance |
Q.2 Add, subtract, multiply, divide, and use exponents and roots of rational numbers
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| Q.2.a | Perform addition, subtraction, multiplication, and division on rational numbers. (CCSS 7.NS.1; 7.NS.2 · DOK 1–2) | 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, Solving fraction multiplication equations, Writing fraction multiples; Negative Numbers — Adding on the number line, Adding positive and negative numbers, Counting signed tile values, Evaluating expressions step by step, Rewriting subtraction as addition, Subtracting on the number line, Subtracting positive and negative numbers; Exponents and Radicals — Applying order of operations with exponents, Evaluating expressions inside radicals, Evaluating fraction bar expressions, Evaluating multi-operation expressions, Evaluating nested grouping expressions, Evaluating powers and roots with arithmetic |
| Q.2.b | Perform computations and write numerical expressions with squares and square roots of positive, rational numbers. (CCSS 8.EE.2; N-RN.2 · DOK 1–2) | Exponents and Radicals — Adding and subtracting like square roots, Estimating non-perfect square roots, Evaluating perfect squares, Evaluating square roots, Multiplying square root expressions, Simplifying and combining unlike radicals |
| Q.2.c | Perform computations and write numerical expressions with cubes and cube roots of rational numbers. (CCSS 8.EE.2; N-RN.2 · DOK 1–2) | Exponents and Radicals — Evaluating cube roots and higher roots, Evaluating cubes |
| Q.2.d | Determine when a numerical expression is undefined. (CCSS 7.NS.2 · DOK 2) | Exponents and Radicals — Identifying zero-to-the-zero forms |
| Q.2.e | Solve one-step or multi-step arithmetic, real-world problems involving the four operations with rational numbers, including those involving scientific notation. (CCSS 7.NS.3; 7.EE.3; 8.EE.4; N-Q.1 · DOK 1–2) | Exponents and Radicals — Estimating with scientific notation, Multiplying and dividing in scientific notation |
Q.3 Calculate and use ratios, percents and scale factors
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| Q.3.a | Compute unit rates. Examples include but are not limited to: unit pricing, constant speed, persons per square mile, BTUs per cubic foot. (CCSS 6.RP.3; 7.RP.1; G-MG.2 · DOK 1–2) | Proportional Reasoning — Comparing ratios with unit rates, Comparing unit prices, Finding unit rates |
| Q.3.b | Use scale factors to determine the magnitude of a size change. Convert between actual drawings and scale drawings. (CCSS 7.G.1 · DOK 1–2) | Geometry and Measurement — Find the scale factor and unknown lengths; Coordinate Transformations — Scaling around any point, Scaling from the origin |
| Q.3.c | Solve multistep, arithmetic, real-world problems using ratios or proportions, including those that require converting units of measure. (CCSS 6.RP.3; 7.RP.1; 7.RP.2; 7.RP.3; N-Q.1 · DOK 2) | Proportional Reasoning — Finding the scale factor, Finding totals from ratios, Identifying equivalent ratios, Relating totals, rates, and amounts, Scaling by a given factor, Scaling recipes to a target, Scaling with non-whole numbers, Writing equivalent ratios; Real-World Algebra — Scaling prices |
| Q.3.d | Solve two-step, arithmetic, real-world problems involving percents. Examples include but are not limited to: simple interest, tax, markups and markdowns, gratuities and commissions, percent increase and decrease. (CCSS 7.RP.3 · DOK 1–2) | Percents — Calculating a percentage of a number, Calculating compound percent changes, Comparing split and single changes, Computing repeated percent growth, Finding the percentage from two numbers, Reversing a percentage calculation, Writing compound change expressions, Writing percent change expressions; Real-World Algebra — Finding a percent of an amount |
Q.4 Calculate dimensions, perimeter, circumference, and area of two-dimensional figures
Q.5 Calculate dimensions, surface area, and volume of three-dimensional figures
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| Q.5.a | When given geometric formulas, compute volume and surface area of rectangular prisms. Solve for side lengths or height when given volume or surface area. (CCSS 6.EE.2; 7.G.6; 8.G.9 · DOK 1–2) | Geometry and Measurement — Find surface area by adding face areas |
| Q.5.b | When given geometric formulas, compute volume and surface area of cylinders. Solve for height, radius, or diameter when given volume or surface area. (CCSS 6.EE.2; 7.G.6; 8.G.9 · DOK 1–2) | Geometry and Measurement — Find volume as area of the base times height |
| Q.5.c | When given geometric formulas, compute volume and surface area of right prisms. Solve for side lengths or height when given volume or surface area. (CCSS 6.EE.2; 7.G.6; 8.G.9 · DOK 1–2) | Geometry and Measurement — Find surface area from base area and perimeter |
| Q.5.d | When given geometric formulas, compute volume and surface area of right pyramids and cones. Solve for side lengths, height, radius, or diameter when given volume or surface area. (CCSS 6.EE.2; 7.G.6; 8.G.9 · DOK 1–2) | Geometry and Measurement — Use the one-third relationship for pyramids and cones |
Q.6 Interpret and create data displays
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| Q.6.a | Represent, display, and interpret categorical data in bar graphs or circle graphs. (CCSS 7.RP.2; 3.MD.3 · DOK 1–2) | Exploring Data Visually — Find percents of a whole from a pie chart, Read and compare bars on a bar chart, Reading and comparing bar charts, Reading pie charts |
| Q.6.b | Represent, display, and interpret data involving one-variable plots on the real number line, including dot plots, histograms, and box plots. (CCSS S-ID.1 · DOK 1–2) | Exploring Data Visually — Compare boxplots across datasets, Find frequencies and percentiles from a histogram, Read median, quartiles, and extremes from a boxplot, Reading histograms; Everyday Statistics — Comparing data sets with box plots, Matching data to box plots, Reading box plots, Spotting outliers |
| Q.6.c | Represent, display, and interpret data involving two variables in tables and the coordinate plane, including scatter plots and graphs. (CCSS 8.SP.1 · DOK 1–2) | 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; Regression — Detecting hidden groups in data, Reading correlation from a scatter plot, Spotting nonlinear relationships; Clustering & Classification — Interpreting clusters |
Q.7 Calculate and use mean, median, mode and weighted average
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| Q.7.a | Calculate the mean, median, mode and range. Calculate a missing data value given the average and all the data values but one, as well as calculating the average given the frequency counts of all the data values, and calculating a weighted average. (CCSS 6.SP.3; S-MD.2 · DOK 1–2) | 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, Seeing how outliers affect the mean, Updating the mean with new data, Updating the median with new data |
Q.8 Utilize counting techniques and determine probabilities
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| Q.8.a | Use counting techniques to solve problems and determine combinations and permutations. (CCSS S-CP.9 · DOK 1–2) | Probability and Chance — Counting outcomes across overlapping events, Counting possible outcomes |
| Q.8.b | Determine the probability of simple and compound events. (CCSS 7.SP.7; 7.SP.8; S-CP.1; S-CP.2 · DOK 1–2) | Probability in Data — Adding probabilities of separate outcomes, Combining probabilities with a formula, Estimating probabilities from past data, Finding probabilities of multi-step outcomes, Finding probability of two related events, Identifying when events affect each other; 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 |
Algebraic Problem Solving
A.1 Write, evaluate, and compute with expressions and polynomials
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| A.1.a | Add, subtract, factor, multiply and expand linear expressions with rational coefficients. (CCSS 7.EE.1 · DOK 1–2) | Solving Equations — Combining like terms, Combining terms in equations, Distributing over a sum, Distributing over groups, Factoring common factors, Factoring into groups; Visual Algebra — Combining pattern expressions; Linear Equations — Combining terms with decimals, Finding the greatest common factor |
| A.1.b | Evaluate linear expressions by substituting integers for unknown quantities. (CCSS 6.EE.2 · DOK 1–2) | Linear Equations — Evaluating linear expressions, Substituting negative values; Visual Algebra — Finding counts at faraway steps |
| A.1.c | Write linear expressions as part of word-to-symbol translations or to represent common settings. (CCSS 6.EE.2; 6.EE.6 · DOK 1–2) | Visual Algebra — Building expressions from rate and start, Writing expressions for each shape, Writing rules for growing patterns, Writing separate even and odd rules; Linear Equations — Writing and simplifying expressions, Writing percent change expressions; Coordinate Geometry — Writing distance expressions with variables; Introduction to Functions — Writing numeric function rules |
| A.1.d | Add, subtract, multiply polynomials, including multiplying two binomials, or divide factorable polynomials. (CCSS A-APR.1 · DOK 1–2) | Polynomials — Adding polynomials, Multiplying monomials, Multiplying polynomials, Subtracting polynomials, Working with multivariable polynomials; Quadratics — Combining like terms, Combining signed terms, Combining terms with coefficients, Determining signs in products, Expanding binomial products, Finding constant terms, Finding linear terms, Multiplying with area models, Multiplying with negative numbers; Coordinate Geometry — Identifying equivalent area expressions; Visual Algebra — Identifying equivalent expressions; Equations and Curves — Simplifying with exponent rules |
| A.1.e | Evaluate polynomial expressions by substituting integers for unknown quantities. (CCSS 6.EE.2 · DOK 1–2) | Polynomials — Evaluating polynomials, Evaluating power functions; Quadratics — Evaluating quadratic equations, Plotting points on parabolas; Visual Algebra — Finding counts when growth speeds up |
| A.1.f | Factor polynomial expressions. (CCSS A-SSE.2; A-SSE.3; A-SSE.4 · DOK 1–2) | Quadratics — Completing factors with negatives, Completing partial factorizations, Factoring signed quadratics fully, Factoring simple quadratics, Factoring with leading coefficients, Factoring with negative constants, Recognizing perfect square patterns; Polynomials — Factoring biquadratic polynomials, Factoring out monomials, Factoring power differences |
| A.1.g | Write polynomial expressions as part of word-to-symbol translations or to represent common settings. (CCSS 6.EE.2; 6.EE.6 · DOK 1–2) | Visual Algebra — Breaking patterns into parts, Seeing squares inside patterns, Writing equivalent expressions, Writing expressions as length times width; Coordinate Geometry — Writing area expressions with variables |
| A.1.h | Add, subtract, multiply and divide rational expressions. (CCSS 6.EE.3 · DOK 1–2) | Equations and Curves — Adding rational expressions, Simplifying by factoring, Simplifying rational expressions, Simplifying with exponent rules |
A.2 Write, manipulate, and solve linear equations
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| A.2.a | Solve one-variable linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms, or equations with coefficients represented by letters. (CCSS 7.EE.4; 8.EE.7; A-REI.3 · DOK 1–2) | 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, 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 — Finding unknown values, Solving after combining, Solving grouped equations, Solving one-step equations |
| A.2.b | Solve real-world problems involving linear equations. (CCSS 7.EE.4; A-CED.1; A-CED.2 · DOK 1–2) | Linear Relationships — Evaluating linear equations, Find the input that reaches a target value; Linear Equations — Interpret a linear solution in context; Real-World Algebra — Using a formula |
| A.2.c | Write one-variable and multi-variable linear equations to represent context. (CCSS 6.EE.6; A-CED.1; A-CED.2 · DOK 1–2) | Linear Equations — Modeling with linear equations; Geometry and Measurement — Write an equation relating labeled angles; Solving Equations — Writing balanced equations, Writing equations from scales, Writing grouped equations; Linear Systems — Writing equations from constraints; Real-World Algebra — Writing formulas with variables; Linear Relationships — Writing standard form equations |
| A.2.d | Solve a system of two simultaneous linear equations by graphing, substitution, or linear combination. Solve real-world problems leading to a system of linear equations. (CCSS 8.EE.6; A-REI.6 · DOK 1–2) | 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, Substituting known values; Linear Systems — Counting solutions to a system, Eliminating by adding equations, Finding solutions by graphing, Interpret the solution of a system in context, Scaling equations to eliminate, Set up a system from a scenario, Solving systems by graphing |
A.3 Write, manipulate, solve, and graph linear inequalities
A.4 Write, manipulate, and solve quadratic equations
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| A.4.a | Solve quadratic equations in one variable with rational coefficients and real solutions, using appropriate methods (e.g., quadratic formula, completing the square, factoring, inspection). (CCSS A-REI.4 · DOK 1–2) | Quadratics — Checking solutions by substitution, Completing squares with fractions, 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 quadratic formula; Polynomials — Solving by factoring |
| A.4.b | Write one-variable quadratic equations to represent context. (CCSS A-CED.1 · DOK 1–2) | Quadratics — Writing equations for motion, Writing equations for real situations |
A.5 Connect and interpret graphs and functions
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| A.5.a | Locate points in the coordinate plane. (CCSS 6.NS.6 · DOK 1) | Linear Relationships — Extending linear patterns; Introduction to Functions — Plotting numeric functions; Coordinate Plane — Reading and plotting coordinate pairs, Working with negative coordinates; Linear Systems — Reading points on a graph |
| A.5.b | Determine the slope of a line from a graph, equation, or table. (CCSS 8.F.4 · DOK 1–2) | Linear Relationships — Calculating rates of change, Computing slope, Finding constant change |
| A.5.d | Graph two-variable linear equations. (CCSS A-CED.2; F-IF.7 · DOK 1–2) | Linear Relationships — Graphing from point-slope form, Graphing lines from intercepts, Graphing lines from slope, Graphing real-world relationships; Proportional Reasoning — Graphing proportional relationships, Writing proportional equations; Coordinate Plane — Plotting horizontal and vertical lines |
| A.5.e | For a function that models a linear or nonlinear relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. (CCSS 8.F.3; 8.F.5; F-IF.5 · DOK 1–2) | Linear Relationships — Classify a relationship as linear and proportional, Finding starting values, Interpreting intercepts; Polynomials — Classifying even and odd powers, Deducing roots from symmetry, Finding roots from graphs, Finding the y-intercept, Identifying sign regions, Matching equations to graphs, Matching graphs to factored form, Reading polynomial graphs, Recognizing polynomial symmetry, Using power function symmetry; Quadratics — Connecting intercepts to factors, Finding maximum and minimum values, Finding the axis of symmetry, Finding the best possible value, Finding the vertex, Finding vertices using symmetry, Finding when objects arrive, Graphing by factoring, Graphing parabolas from vertex form, Interpreting results in context, Writing equations from graphs, Writing vertex form equations; Introduction to Functions — Identifying function intervals, Reading continuous function graphs, Reading discontinuous function graphs, Reading periodic function graphs; Trigonometric Functions — Identifying periodic function features, Predicting periodic values; Equations and Curves — Reading intervals from hyperbolas, Reading values from graphs |
A.6 Connect coordinates, lines, and equations
A.7 Compare, represent, and evaluate functions
| GED assessment target | What the assessment target asks | Brilliant targeted skill |
|---|
| A.7.a | Compare two different proportional relationships represented in different ways. Examples include but are not limited to comparing a distance-time graph to a distance-time equation to determine which of two moving objects has a greater speed. (CCSS 8.EE.5 · DOK 2) | Proportional Reasoning — Comparing proportional graphs |
| A.7.b | Represent or identify a function in a table or graph as having exactly one output (one element in the range) for each input (each element in the domain). (CCSS 8.F.1; F-IF.1 · DOK 1–2) | Introduction to Functions — Applying the vertical line test, Finding function domains, Finding function ranges, Recognizing non-functions |
| A.7.c | Evaluate linear and quadratic functions for values in their domain when represented using function notation. (CCSS F-IF.2 · DOK 1–2) | Introduction to Functions — Following function rules, Identifying function rules, Matching input-output pairs |
| A.7.d | Compare properties of two linear or quadratic functions each represented in a different way (algebraically, numerically in tables, graphically, or by verbal descriptions). Examples include but are not limited to determining which of two functions has the greater rate of change. (CCSS 8.F.2; F-IF.9 · DOK 2) | Visual Algebra — Comparing pattern growth rates |
How this page is built
Every skill in Brilliant's math skill hierarchy is mapped to the single assessment target it aligns with most closely, using GED Testing Service's Assessment Guide for Educators: Mathematical Reasoning (March 2016 edition) as the authority for what each assessment target requires and where its boundaries fall. Skills that build toward a assessment target without teaching its stated content are excluded, so a skill appears here only where it addresses the assessment target directly.
Each skill links to a lesson where it is practiced, 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.
