Math Formulas - Complete List with Examples
All essential maths formulas in one place. Algebra, geometry, trigonometry, calculus. Generate any of them for Word in seconds.
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Essential maths formulas by category - algebra, geometry, trigonometry, and calculus
Algebra formulas form the foundation: the quadratic formula (x = (−b ± √(b²−4ac)) / 2a), the binomial theorem ((a+b)ⁿ), exponent rules (aᵐ · aⁿ = aᵐ⁺ⁿ), logarithm identities (log(ab) = log a + log b), and the distance formula (d = √((x₂−x₁)² + (y₂−y₁)²)). These appear in virtually every maths course from secondary school through university.
Geometry and trigonometry formulas cover shapes and angles: area of a circle (A = πr²), volume of a sphere (V = 4/3 πr³), the Pythagorean theorem (a² + b² = c²), the law of cosines (c² = a² + b² − 2ab cos C), and the core trig identities (sin²θ + cos²θ = 1). Engineering, physics, and architecture rely on these formulas daily.
Calculus formulas handle rates of change and accumulation: the power rule (d/dx xⁿ = nxⁿ⁻¹), the chain rule (d/dx f(g(x)) = f'(g(x))·g'(x)), integration by parts (∫u dv = uv − ∫v du), and the fundamental theorem of calculus (∫ₐᵇ f(x)dx = F(b) − F(a)). Statistics adds the normal distribution PDF, the binomial coefficient, and the standard deviation formula.
Every formula listed above - and thousands more - can be generated with FormulAI. Type the name or describe the expression, and get it formatted for Word, LaTeX, or PNG in seconds. Use the generator above to build your own formula sheet.
How it works
Describe your formula
Type a description in plain English - e.g. 'quadratic formula' or 'Maxwell's equations'.
AI generates it
Our AI instantly converts your description into a properly formatted mathematical formula.
Copy into Word
Click Copy and paste the result directly into Microsoft Word's equation editor.
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Frequently asked questions
What are the most important math formulas to know?
The most important math formulas usually include the quadratic formula, slope formula, area and volume formulas, trigonometric identities, derivative rules, and basic probability equations. The exact list depends on whether you need algebra, geometry, trigonometry, or calculus.
What are the basic math formulas for algebra?
Basic maths formulas for algebra include the quadratic formula, exponent rules, slope-intercept form, the distance formula, and factoring identities such as (a+b)² = a² + 2ab + b². These are among the most common formulas used in school algebra and exam prep.
Where can I find all math formulas in one place?
You can use a structured maths formulas page like this one to keep the most common mathematical equations in one place. It is useful as a quick reference for homework, revision, engineering coursework, and creating notes for Word documents.
How do I generate math formulas for Word?
Describe the formula you need in plain English, generate it with FormulAI, and paste it directly into Microsoft Word as a native equation. This is much faster than building complex mathematical equations manually with Word's symbol menus.
What math formulas do I need for calculus?
For calculus, the most common maths formulas include derivative rules, integration rules, limits, the chain rule, product rule, quotient rule, and standard formulas for area under a curve. Students usually also need algebra and trigonometry formulas alongside calculus equations.
Can I get a math formula sheet for free?
Yes. You can use this page as a free maths formula sheet and generate any individual formula in Word-ready format. That makes it useful for exam revision, worksheet preparation, and building your own printable formula sheets for maths.