Formula Cheatsheet — Math, Physics & Chemistry

Quick-reference formulas for problem solving. Browse by topic or search across all formulas in a subject.

  • Math: Algebra, Calculus, Stats, Trig, Geometry
  • Physics: Mechanics, Waves, Electricity, Thermodynamics
  • Chemistry: Gas Laws, Kinetics, Electrochemistry
  • Click any formula to copy
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14 formulas
Quadratic Formula
x = (−b ± √(b²−4ac)) / 2a

Roots of ax² + bx + c = 0

Difference of Squares
a² − b² = (a + b)(a − b)
Perfect Square (sum)
(a + b)² = a² + 2ab + b²
Perfect Square (diff)
(a − b)² = a² − 2ab + b²
Sum of Cubes
a³ + b³ = (a + b)(a² − ab + b²)
Difference of Cubes
a³ − b³ = (a − b)(a² + ab + b²)
Arithmetic Series
Sₙ = n/2 × (2a₁ + (n−1)d)

a₁ = first term, d = common difference

Geometric Series
Sₙ = a(1 − rⁿ) / (1 − r)

r ≠ 1; r = common ratio

Infinite Geometric
S∞ = a / (1 − r), |r| < 1

Sum of infinite geometric series

Binomial Theorem
(a+b)ⁿ = Σ C(n,k) aⁿ⁻ᵏ bᵏ (k=0…n)
Log Change of Base
logₐ b = ln b / ln a
Log Product Rule
log(xy) = log x + log y
Log Power Rule
log(xⁿ) = n · log x
Exponent Rules
aᵐ·aⁿ = aᵐ⁺ⁿ ; (aᵐ)ⁿ = aᵐⁿ ; a⁰ = 1

How this tool fits your workflow

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Why a formula reference matters

Students and professionals who work across disciplines need quick access to formulas from subjects they do not use daily. A physics student working on a thermodynamics problem may need the Gibbs free energy equation. An engineer debugging an electrical circuit may need to recall Kirchhoff's voltage law. Rather than searching multiple textbook indexes, a single searchable reference covers the most-needed formulas in one place.

The cheatsheet is organized by subject and subcategory so you can browse when you know the topic, and search when you need a specific formula by name or variable. Copy-to-clipboard means no retyping when moving a formula into a document or calculation.

How to use the cheatsheet effectively

For exam preparation: use the subcategory tabs to review all formulas in a specific area (e.g., all kinematics equations) and identify gaps in your knowledge. For problem-solving: search by keyword or variable to find the relevant formula quickly.

For unfamiliar formulas, the description under each formula explains what the variables represent and the context where the formula applies. This is especially useful when crossing into adjacent disciplines — a biologist who needs to use a gas law formula can quickly see what P, V, n, R, and T stand for without consulting a separate reference.

Frequently asked questions

What subjects does the formula cheatsheet cover?
The cheatsheet covers three subjects: Math (algebra, calculus, trigonometry, statistics, geometry), Physics (kinematics, forces, energy, waves, electricity, thermodynamics), and Chemistry (stoichiometry, gas laws, acid-base, thermochemistry, kinetics, electrochemistry).
How do I search for a specific formula?
Use the search bar at the top. Typing any formula name, variable, or keyword filters across all subjects and categories simultaneously, showing matching formulas with their descriptions.
Can I copy formulas to use elsewhere?
Yes. Click any formula to copy it to your clipboard. The formula is copied as plain text that you can paste into documents, calculators, or code.
Can I print the formula cheatsheet?
Yes. Use the Print button or your browser's print function (Ctrl+P / Cmd+P). The layout is optimized for printing with formula cards in a clean grid.