Mathwords logoMathwords

Mathwords

Formula Sheets

Quick-reference formula sheets organized by subject. Each sheet collects the essential formulas with links to detailed explanations.

ACT Math Formula Sheet — Complete Reference for Test Day

Complete ACT math formula sheet covering Pre-Algebra, Elementary Algebra, Intermediate Algebra, Coordinate Geometry, Plane Geometry, and Trigonometry.

Algebra Formula Sheet

Complete algebra formula sheet — quadratic formula, slope, exponent rules, factoring identities, logarithm properties, and more. Free printable reference.

AP Calculus Formula Sheet — AB & BC Complete Reference

Complete AP Calculus AB and BC formula sheet: limits, derivatives, integrals, series, differential equations, and parametric/polar topics for the exam.

AP Statistics Formula Sheet — Complete Test Reference

Complete AP Statistics formula sheet: descriptive stats, probability, distributions, sampling, confidence intervals, and hypothesis tests.

Area Formulas — All Shapes Reference Sheet

Complete area formulas for all shapes: triangles, circles, quadrilaterals, regular polygons, and calculus areas. Quick-reference sheet with worked links.

Calculus Formula Sheet

Complete calculus formula sheet — derivative rules, integral formulas, limits, series tests, and more. Free printable reference for AP Calculus AB/BC.

Conic Sections Formulas — Circle, Ellipse, Parabola, Hyperbola

Complete conic sections reference: circle, ellipse, parabola, and hyperbola formulas. Standard forms, foci, directrix, eccentricity, and graphs.

Derivative Rules — Complete Calculus Reference

All derivative rules in one place: power, product, quotient, chain, trig, inverse trig, exponential, and logarithmic derivatives. Quick-reference cheat sheet.

Distance & Midpoint Formulas — Complete Reference Sheet

Distance formula d = √((x₂−x₁)² + (y₂−y₁)²), midpoint formula, 3D distance, partition formulas, and worked examples for coordinate geometry.

Exponent Rules — All Laws of Exponents Reference

Complete list of exponent rules: product, quotient, power, zero, negative, and fractional exponents. Plus radical equivalents and worked examples.

Factoring Rules & Patterns — Complete Algebra Reference

All factoring patterns and rules: GCF, difference of squares, trinomials, grouping, sum/difference of cubes, and how-to flowchart with examples.

Financial Math Formulas — Interest, Annuity & Loan Reference

Complete financial math formulas: simple and compound interest, annuities, present and future value, mortgage payments, depreciation, and ROI.

Geometry Formula Sheet

Complete geometry formula sheet — area, perimeter, volume, surface area, Pythagorean theorem, circle formulas, and more. Free printable reference.

Inequality Rules — Complete Algebra Reference Sheet

All inequality rules: addition, multiplication, transitive, flip-sign rule, absolute value, quadratic, and compound inequalities with examples.

Integral Table — Integration Formulas Reference

Complete integral table: basic integrals, trig, exponential, logarithmic, inverse trig, and special integration techniques. Calculus cheat sheet with examples.

Limits Cheat Sheet — All Calculus Limit Rules & Techniques

Complete calculus limits reference: properties, special limits, L'Hôpital's rule, indeterminate forms, infinity limits, and one-sided limits.

Logarithm Rules — Complete Log Properties Reference

All logarithm rules in one place: product, quotient, power, change of base, natural log (ln), and common log. With identities, solving tips, and examples.

Matrix Formulas — Operations, Determinant & Inverse Reference

All matrix formulas: addition, multiplication, transpose, determinant (2×2, 3×3), inverse, identity matrix, and matrix equation solving.

Perimeter Formulas — All Shapes Reference

Perimeter formulas for every shape: triangle, rectangle, square, parallelogram, trapezoid, polygon, and circle (circumference). Quick-reference sheet.

Pre-Calculus Formula Sheet — Complete Reference

Complete pre-calculus formula sheet: functions, trig identities, exponentials, logarithms, sequences, conics, and limits. Cheat sheet for exam prep.

Probability Formulas — Complete Reference Sheet

All probability formulas: basic, conditional, Bayes' theorem, combinations, permutations, expected value, variance, and major distributions.

Quadratic Formula Sheet — Equation, Discriminant & Forms

Complete quadratic equation reference: quadratic formula, discriminant, vertex form, factoring, completing the square, and roots formulas.

SAT Math Formula Sheet — Complete Reference for Test Day

Complete SAT math formula sheet covering Heart of Algebra, Problem Solving, Passport to Advanced Math, and Additional Topics. Every formula you need on test day.

Sequence & Series Formulas — Complete Reference

All sequence and series formulas: arithmetic, geometric, nth-term, sum, infinite series, Taylor and Maclaurin series, plus convergence tests.

Statistics Formula Sheet

Complete statistics formula sheet — mean, standard deviation, z-scores, probability, confidence intervals, regression, and more. Free printable reference for AP Statistics.

Surface Area Formulas — All 3D Shapes Reference

Surface area formulas for every 3D shape: cube, prism, cylinder, cone, sphere, pyramid, ellipsoid, and frustum. Lateral and total SA with diagrams.

Trigonometry Formula Sheet

Complete trig formula sheet — unit circle values, identities, inverse trig, law of sines/cosines, and more. Free printable reference for precalculus and calculus.

Unit Circle Chart — All Values, Angles & Coordinates

Complete unit circle reference: sin/cos/tan values at every common angle, radians and degrees, quadrant signs, and coordinate formulas.

Vector Formulas — Operations, Dot Product & Cross Product

Complete vector formula reference: magnitude, dot product, cross product, projections, angle between vectors, and vector calculus basics.

Volume Formulas — All 3D Shapes Reference

Volume formulas for every 3D shape: cube, prism, cylinder, cone, sphere, pyramid, ellipsoid, frustum, and torus. With diagrams and links to examples.