Test Prep

ACT Math Topics 2026

A complete breakdown of every math topic on the 2026 ACT, organized by the official categories, with free lessons and calculators for each one. Use this as your study checklist.

About the 2026 ACT Math Section

The enhanced ACT Math section rolled out in April 2025 and is the standard format for all 2026 test takers. You get 45 questions in 50 minutes, which works out to about 67 seconds per question. Calculators are permitted for the entire section.

The content split has shifted compared to the old ACT: 80% of questions now test high school math concepts (Algebra, Functions, Geometry, Statistics) and 20% test foundational skills. The old format was 60/40. This means the 2026 ACT is harder on average, with fewer easy warm-up questions at the start.

Questions are not adaptive like the SAT. They are arranged roughly in order of difficulty within the section, so earlier questions tend to be more straightforward. Skipping hard questions and coming back to them is a valid strategy.

Category 1: Preparing for Higher Math (about 80% of the test)

This is the dominant category covering five subcategories of high school math. Together they make up the large majority of your score. The subcategories below are listed in order of the percentage of questions they contribute.

Algebra (roughly 12 to 15% of the test)

Solving, graphing, and modeling equations and expressions: linear, polynomial, radical, and exponential relationships, as well as systems of equations. This is the most heavily tested subcategory alongside Functions.

LessonSolving Linear EquationsOne-step to multi-step, variables on both sides LessonSystems of EquationsSubstitution and elimination LessonQuadratic EquationsFactoring, quadratic formula, completing the square LessonInequalitiesSolving and graphing LessonExponent RulesAll six rules with examples CalculatorQuadratic FormulaSolve any quadratic instantly

Functions (roughly 12 to 15% of the test)

Function definition, notation, representation, and application. Questions test whether you can read and interpret f(x) notation, evaluate functions, identify domain and range, and work with linear, quadratic, and exponential function models.

LessonWhat Are Functions?Notation, domain, range, evaluation LessonFunctions and TransformationsShifts, reflections, inverse functions LessonExponential Growth and DecayGrowth and decay models

Geometry (roughly 12 to 15% of the test)

Shapes, sizes, and properties of space. Congruence and similarity, the Pythagorean theorem, properties of circles and polygons, area and volume, and basic trigonometry. The ACT tests more trigonometry than the SAT and includes some questions involving the unit circle.

LessonThe Pythagorean TheoremRight triangles and the distance formula LessonArea and PerimeterEvery formula for every shape LessonVolume FormulasCylinders, cones, spheres, prisms LessonCircle FormulasArea, circumference, arc length LessonAngles and TrianglesAngle relationships and triangle types LessonIntroduction to TrigonometrySin, cos, tan and the unit circle CalculatorPythagorean TheoremFind any side of a right triangle

Statistics and Probability (roughly 8 to 12% of the test)

Interpreting data sets, mean and median, probability rules, combinations, and relationships in bivariate data. Questions often involve reading a chart or table and drawing a conclusion, so careful reading matters as much as the math.

LessonStandard DeviationWhat spread means in data LessonMean vs MedianWhen to use each LessonProbability BasicsEvents, sample space, rules LessonPermutations and CombinationsCounting problems explained CalculatorCombinations nCrInstant calculation CalculatorPermutations nPrInstant calculation

Number and Quantity (roughly 7 to 10% of the test)

Real and complex number systems, integer and rational exponents, vectors, and matrices. Most students find the exponent questions here similar to what they see in Algebra. Vectors and matrices are tested lightly.

LessonExponent RulesIncluding negative and fractional exponents LessonNegative NumbersOperations with negatives LessonWhat is a Vector?Magnitude, direction, dot products

Category 2: Integrating Essential Skills (about 20% of the test)

These questions draw on foundational math skills, things typically taught before high school or in early high school. The questions are not simple recall. They require applying basic skills in more complex or practical contexts, often involving multi-step word problems.

Common topics include rates and percentages, proportional relationships, area and perimeter calculations, averages and medians, and unit conversions. A student who rushes through this section because the topics look familiar will lose points they should not lose.

LessonWhat is a Percentage?Calculating, converting, percent change LessonRatios and ProportionsSetting up and solving proportions LessonFractions ExplainedOperations with fractions LessonDecimals ExplainedPlace value and operations LessonMean vs MedianAverages in context CalculatorPercentage ChangeIncrease and decrease

Where to focus your study time

Algebra and Functions together make up roughly 25 to 30% of the test and are the most consistent high-value areas. Geometry is close behind at 12 to 15%. If you are scoring below a 22, the Essential Skills section is actually worth more of your time than students expect because those questions are more reliably solvable with careful reading.

For students aiming above 28, the hardest questions come from Functions and Geometry, particularly trigonometry and circle properties. Mastering the unit circle and function transformations will help at the high end.

Recommended study priority

1Algebra: linear equations, systems, quadratics. Highest volume, most predictable question types.

2Functions: f(x) notation, evaluating functions, linear and quadratic models.

3Essential Skills: percentages, ratios, averages. Easy points if you read carefully and do not rush.

4Geometry: Pythagorean theorem, area and perimeter, volume. Use formulas you know and work carefully.

5Statistics and Probability: mean, median, probability, combinations. Smaller section but very learnable.

6Trigonometry: sin, cos, tan in right triangles. A few questions per test but very predictable.

ACT vs SAT: which math test suits you?

The ACT tests more geometry and trigonometry than the SAT. It also moves faster, one question roughly every 67 seconds versus about 95 seconds on the SAT. Students who are comfortable with geometry and work quickly often prefer the ACT. Students who prefer algebra and data interpretation, and want more time per question, often score better on the SAT.

The best way to find out is to take a practice test for each. See our SAT Math 2026 study guide for the full SAT breakdown.

Sources

This guide is based on official ACT documentation for the enhanced ACT Math section, current as of 2026. Topic distribution percentages reflect ACT's published reporting category specifications. For official practice materials, visit act.org.