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ONE SKILL. ONE SMALL STEP.

PSAT/NMSQT Math

Choose a skill, explore an example, then try it yourself. Start with data analysis to discover the newest lessons.

Explore topics across four domains. Every lesson includes explanations, examples and practice; revisit a foundation whenever you need it.

Take a PSAT Math mock examExplore standard deviationMy PSAT quest map

Scope clarification: rational-expression rewriting, rational exponents and complementary-angle sine/cosine relations are SAT extensions. Existing bridge lessons and checkpoints include some of this enrichment. Open the SAT study path →

Algebra≈35% of test questionsAdvanced Math≈32.5% of test questionsProblem-Solving & Data Analysis≈20% of test questionsGeometry & Trigonometry≈12.5% of test questions

20 focused lessons · 160 library problems + 560 refresh variants · 2 checkpoint forms per domain. Your signed-in practice records hint use and independent solves for your family report.

Algebra

≈35%

SKILL A1

Linear equations in one variable

  • Linear Equations & Function ModelsPractice this skill →
Need a smaller first step?
  • Solving & Checking Linear Equations

SKILL A2

Linear functions

  • Linear Equations & Function ModelsPractice this skill →
  • Lines: Forms, Slopes & ParametersPractice this skill →
Need a smaller first step?
  • Slope and Rate of Change

SKILL A3

Linear equations in two variables

  • Lines: Forms, Slopes & ParametersPractice this skill →
Need a smaller first step?
  • Slope and Rate of Change

SKILL A4

Systems of two linear equations

  • Linear Systems: Solutions & ConstraintsPractice this skill →
Need a smaller first step?
  • Two Equations, Two Unknowns

SKILL A5

Linear inequalities in one or two variables

  • Graphing Inequalities & Feasible RegionsPractice this skill →

Advanced Math

≈32.5%

SKILL B1

Equivalent expressions

  • Factoring QuadraticsPractice this skill →

SKILL B2

Nonlinear equations and systems

  • Quadratic Formula & Completing the SquarePractice this skill →
  • Rational Equations & Domain RestrictionsPractice this skill →
  • Radical Equations & Extraneous RootsPractice this skill →
  • Lines & Parabolas: Nonlinear SystemsPractice this skill →
Need a smaller first step?
  • Completing the Square

SKILL B3

Nonlinear functions

  • Exponential Growth, Decay & TablesPractice this skill →
  • Quadratic Formula & Completing the SquarePractice this skill →
Need a smaller first step?
  • Exponential Growth and Logarithms

Problem-Solving & Data Analysis

≈20%

SKILL C1

Ratios, rates, proportions and units

  • Rates, Units & Percent ChangesPractice this skill →
Need a smaller first step?
  • Proportions & Unit Conversions
  • Ratios & Multiway Shares

SKILL C2

Percentages

  • Rates, Units & Percent ChangesPractice this skill →
Need a smaller first step?
  • Percent, Part & Whole

SKILL C3

One-variable data: distributions, center and spread

  • Standard Deviation, Center & OutliersPractice this skill →
  • Dot Plots, Histograms & Frequency TablesPractice this skill →
Need a smaller first step?
  • Mean, Median, Mode & Range

SKILL C4

Two-variable data: models and scatterplots

  • Scatterplots & Lines of Best FitPractice this skill →
  • Exponential Growth, Decay & TablesPractice this skill →

SKILL C5

Probability and conditional probability

  • Two-Way Tables & Conditional ProbabilityPractice this skill →
Need a smaller first step?
  • Conditional Sample Spaces

SKILL C6

Inference from sample statistics

  • Samples, Population Estimates & LimitsPractice this skill →
Need a smaller first step?
  • Mean, Median, Mode & Range

Geometry & Trigonometry

≈12.5%

SKILL D1

Area and volume

  • Surface Area, Volume & Missing DimensionsPractice this skill →
  • Similar Solids & Scale FactorsPractice this skill →
Need a smaller first step?
  • Volume as Layers
  • Area & Composite Regions

SKILL D2

Lines, angles and triangles

  • Triangles, Similarity & Sufficient InformationPractice this skill →
Need a smaller first step?
  • Angle Sums & Intersections
  • Similarity and Scale

SKILL D3

Right triangles and trigonometry

  • Right-Triangle Sine, Cosine & TangentPractice this skill →
Need a smaller first step?
  • Right-Triangle Distance

Ready to combine these skills? Our separate mock exam has 44 original math questions, two timed modules and a detailed review. Open PSAT Math mock exams →

What this path covers

This map connects all 17 math skill groups in the PSAT/NMSQT framework to lessons and targeted practice. It is a study path, not a full-length adaptive test or a score prediction. Finishing a lesson does not certify exam readiness.

Use a domain checkpoint to see which kinds of questions need another try. For official timed practice, use College Board Bluebook practice.

Scope: PSAT/NMSQT and PSAT 10, not PSAT 8/9. Topic weights follow College Board’s math framework. Questions are original Numerive practice. Numerive is not affiliated with or endorsed by College Board or MCPS.

∑ Numerive

Learn

HomeTry a questionMy questsLearning SearchHomeworkUnderstand & rememberCurriculumFlashcardsUniversity

Exam preparation

Mock examsSATPSAT/NMSQTAMC 8 / 10 / 12

Your learning world

My characterAchievementsFriendsStudy groups

Family & help

Family workspace30-day reasoning planStudent sign inFor familiesContact & help