ACT Math
All six ACT math reporting categories.
ACT Math covers 60 questions in 60 minutes across six reporting categories. Our ACT track is organised exactly as ACT, Inc. structures the test — Pre-Algebra through Trigonometry — with topic notes, practice problems and full worked solutions.
Each section below is a content category recognised by ACT, Inc.. Click into any topic to see notes and six worked practice questions with full solutions. For a quick reference, every category also has a dedicated formula sheet.
Pre-Algebra 8 topics
Number operations, fractions, percents, simple statistics — about a fifth of the ACT Math section.
- Arithmetic Operations6 Qs
- Fractions, Decimals and Percents6 Qs
- Integers and Absolute Value6 Qs
- Square Roots and Radicals6 Qs
- Exponent Rules6 Qs
- Scientific Notation6 Qs
- Ratios and Proportions6 Qs
- Basic Statistics6 Qs
Browse the full Pre-Algebra category → · Pre-Algebra formula sheet →
Elementary Algebra 8 topics
Variables, expressions, single-variable equations and basic polynomial work.
- Algebraic Expressions6 Qs
- Solving Linear Equations6 Qs
- Multi-Step Equations6 Qs
- One-Variable Inequalities6 Qs
- Polynomials (Basic)6 Qs
- Basic Factoring6 Qs
- Substitution and Evaluation6 Qs
- Elementary Word Problems6 Qs
Browse the full Elementary Algebra category → · Elementary Algebra formula sheet →
Intermediate Algebra 8 topics
Quadratics, complex numbers, sequences, matrices and functions.
- The Quadratic Formula6 Qs
- Complex Numbers6 Qs
- Systems of Equations6 Qs
- Functions6 Qs
- Sequences and Series6 Qs
- Matrices (Basic)6 Qs
- Logarithms6 Qs
- Quadratic Inequalities6 Qs
Browse the full Intermediate Algebra category → · Intermediate Algebra formula sheet →
Coordinate Geometry 8 topics
The xy-plane: lines, slope, distance, midpoint, conic sections and graph transformations.
- Midpoint and Distance6 Qs
- Slope-Intercept Form6 Qs
- Parallel and Perpendicular Lines6 Qs
- Conic Sections6 Qs
- Graphing Parabolas6 Qs
- Graphing Circles6 Qs
- Graph Transformations6 Qs
- Intersections of Graphs6 Qs
Browse the full Coordinate Geometry category → · Coordinate Geometry formula sheet →
Plane Geometry 10 topics
Triangles, quadrilaterals, circles, area, volume and angle relationships in two and three dimensions.
- Properties of Triangles6 Qs
- Pythagorean Theorem6 Qs
- Special Quadrilaterals6 Qs
- Area and Perimeter6 Qs
- Volume and Surface Area6 Qs
- Circles6 Qs
- Similar Figures6 Qs
- Three-Dimensional Figures6 Qs
- Parallel Lines and Transversals6 Qs
- Angle Relationships6 Qs
Browse the full Plane Geometry category → · Plane Geometry formula sheet →
Trigonometry 8 topics
Sine, cosine, tangent and their applications — about 7% of the ACT Math test.
- Sine, Cosine and Tangent6 Qs
- SOH-CAH-TOA Applications6 Qs
- Basic Trig Identities6 Qs
- Law of Sines6 Qs
- Law of Cosines6 Qs
- Graphs of Trig Functions6 Qs
- Inverse Trig Functions6 Qs
- Solving Trig Equations6 Qs
Browse the full Trigonometry category → · Trigonometry formula sheet →