Original practice questions, modeled on public College Board skill descriptors — not College Board material.
SP Score Prepped
Drill by score band: 400–500 500–600 600–700 700–800

Difficulty hub

Medium SAT Math Questions

This page lists the 200 questions in the site's 500-question bank tagged medium difficulty, grouped by topic and by score band. Every count below comes from the site's question bank (data/questions.json).

Medium questions by score band

200 medium questions across 20 topics; they fall in 2 score bands (500-600: 80, 600-700: 120).

Other difficulty hubs

TopicSub-skill pagesMedium questionsDrill
Absolute Value EquationsAbsolute Value Inequalities, Solving Basic Absolute Value Equations, Distance Interpretation of Absolute Value, Graphing Absolute Value Functions1010 medium questions
Circles, Arcs, and SectorsArc Length and Sector Area, Equation of a Circle, Circle Geometry in Context, Inscribed Angles and Tangent Lines1010 medium questions
Complex NumbersAdding and Subtracting Complex Numbers, Complex Conjugates and Division, Multiplying Complex Numbers, Powers of i1010 medium questions
Exponential Functions and Exponent RulesComparing Exponential and Linear Models, Applying Exponent Rules, Exponential Growth and Decay Models, Fractional and Radical Exponents1010 medium questions
Function Notation and CompositionEvaluating Functions, Function Composition, Reading Functions from Graphs and Tables, Inverse Functions1010 medium questions
Linear Equations in One VariableEquations with Fractional Coefficients, Solving Literal Equations, Multi-Step Solving, Translating Words to Equations1010 medium questions
Linear Functions and Their GraphsBuilding Linear Functions from Tables, Parallel and Perpendicular Slopes, Writing Equations from Points and Slopes, Slope and y-Intercept Interpretation1010 medium questions
Linear InequalitiesCompound and Absolute Value Inequalities, Graphing Solution Sets, Interpreting Inequality Word Problems, Solving One-Variable Inequalities1010 medium questions
Mean, Median, and ModeComputing and Manipulating the Mean, Mean Versus Median, Mode, Range, and Spread, Weighted Averages1010 medium questions
Parallel and Perpendicular LinesIdentifying Slopes from Equations, Midpoint and Distance Formulas, Writing Parallel Line Equations, Writing Perpendicular Line Equations1010 medium questions
Percentages and Percent ChangePercent Increase and Decrease, Percent of a Quantity, Percent in Word Problems, Successive Percent Changes1010 medium questions
Polynomial OperationsFactoring Higher-Degree Polynomials, Multiplying Polynomials, Polynomial Long and Synthetic Division, Remainder and Factor Theorems1010 medium questions
Probability and Two-Way TablesCompound and Independent Events, Conditional Probability, Simple Probability, Probability from Two-Way Tables1010 medium questions
Quadratic EquationsCompleting the Square, Factoring Quadratic Expressions, Applying the Quadratic Formula, Quadratic Word Problems1010 medium questions
Rational ExpressionsAdding and Subtracting Rational Expressions, Complex Fractions, Solving Rational Equations, Simplifying Rational Expressions1010 medium questions
Ratios and ProportionsRate and Density Problems, Scaling Recipes, Maps, and Models, Setting Up Proportions, Similar Figures and Proportional Sides1010 medium questions
Right Triangle TrigonometryPythagorean Theorem, SOH-CAH-TOA, Special Right Triangles, Complementary Angle Trig Identities1010 medium questions
Systems of Linear EquationsSolving Systems by Elimination, Systems with No Solution or Infinite Solutions, Solving Systems by Substitution, Systems from Word Problems1010 medium questions
Units and Unit ConversionConverting Compound Units, Dimensional Analysis, Metric Prefix Conversions, Conversions Embedded in Word Problems1010 medium questions
Volume and Surface AreaComposite Solids, Cylinders and Cones, Rectangular Solids, Spheres1010 medium questions