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Your Ultimate Formulae Destination

We are surprisingly surrounded by wonderful formulae. They make things work. With 1500+ formulae across 60+ disciplines — from Fractions to BMIs, Inertias to Leap Years, EBITDAs to Polynomials, WHRs to Snell's Law — find them all waiting for you here. All of the magnificent formulae come with worked examples, level badges, and fun facts you would be amazed to know. Turn into MATHvericks with interactive Converters and Tricks.

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Watch formulae come to life — step-by-step video lessons that explain the maths and science behind the magic. New videos added regularly.

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Maths in Everyday Life

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What, where and which formulae you actually use every day — cooking, shopping, driving, money, health and more. Hundreds of real examples, each linked to its formula.

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A quick, narrated walkthrough of every section, tool, and utility — from the formulae library to converters, the periodic table, math tricks, and your new AI guide.

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Arithmetic & Basics

Everyday number sense: fractions, percentages, ratios and averages

30 formulae

Algebra

Equations, polynomials, identities and algebraic laws

52 formulae

Geometry & Trigonometry

Areas, volumes, angles and trigonometric identities

69 formulae

Trigonometry

Trigonometric ratios, identities, laws and angle formulae

39 formulae

Calculus

Derivatives, integrals, limits and series

43 formulae

Statistics & Probability

Averages, spread, distributions and probability

34 formulae

Probability & Combinatorics

Counting, permutations, combinations, and core probability laws.

22 formulae

Data Science & ML

Machine learning metrics, loss functions, and statistical learning formulae.

24 formulae

Linear Algebra

Vectors, matrices, determinants and transformations

24 formulae

Physics

Mechanics, energy, waves, electricity and light

46 formulae

Physics Laws & Theorems

Named laws, principles and theorems that govern the physical universe

45 formulae

Thermodynamics & Heat

Heat, temperature, gas laws and the laws of thermodynamics

17 formulae

Optics & Waves

Light, lenses, mirrors, sound and wave behaviour

18 formulae

Electricity & Magnetism

Electric fields, magnetic forces and electromagnetic induction

18 formulae

Fluid Mechanics

Pressure, buoyancy, flow and the behaviour of fluids

14 formulae

Modern & Quantum Physics

Relativity, quantum mechanics and nuclear physics

17 formulae

Electronics & Circuits

Circuit analysis, components, signals and digital logic formulae

46 formulae

Chemistry

Reactions, solutions, gases and thermodynamics

38 formulae

Biology & Life Sciences

Genetics, ecology, physiology and cellular biology formulae

36 formulae

Health & Fitness

Body metrics, nutrition, exercise and wellness formulae

47 formulae

Nutrition & Food

Calories, macros, diet, cooking ratios and culinary maths

24 formulae

Astronomy & Space

Orbits, gravity, stars and cosmology

35 formulae

Engineering

Stress, fluids, circuits and structures

28 formulae

Materials & Civil

Structural, construction, and materials-engineering formulae.

16 formulae

Aviation & Aeronautics

Aerodynamics, flight performance, navigation and atmospheric formulas used in aviation

60 formulae

Finance & Interest

Interest, loans, investments and valuation

32 formulae

Accounting

Core accounting identities, financial-statement measures and ratios used to read a company’s books

26 formulae

Business & Commerce

Pricing, sales, inventory and growth metrics used to run and scale a commercial business

14 formulae

Economics

Macro and micro relationships: national output, inflation, elasticity and the theory of money

25 formulae

Currency & Forex

Exchange-rate conversion, cross rates, spreads, pips and purchasing-power measures used in foreign exchange

12 formulae

Everyday Math

Practical formulae for daily life: shopping, cooking, travel, and home projects.

20 formulae

Time & Calendar

Calendar rules, weekday and date algorithms, clock and astronomical timekeeping.

15 formulae

Geography & Earth

Distances, maps, coordinates and the planet

29 formulae

Environmental Science

Sustainability, energy, ecology, and earth-science formulae.

15 formulae

Unit Conversions

Convert temperature, length, area, volume, mass and more

46 formulae

Number Theory

Primes, divisibility, modular arithmetic

25 formulae

Computer Science

Algorithms, information theory and discrete math

27 formulae

Machine Learning & AI

Core algorithms behind machine learning and AI — models, activation functions, loss functions, optimizers, deep learning and reinforcement learning.

36 formulae

Weather & CalamitiesNEW

Meteorology, climate change and natural hazards — humidity, storms, global warming, floods, tsunamis and seismic activity.

15 formulae

Media & DataNEW

Media, advertising and data-infrastructure metrics — TV ratings, ad performance, data-centre efficiency and IT capacity.

18 formulae

AvionicsNEW

Radio navigation, radar, communications, antennas, GPS and signal-processing formulae behind aircraft electronic systems

16 formulae

Revenue & SalesNEW

Sales, pricing and recurring-revenue metrics used in business and SaaS

12 formulae

Music & AcousticsNEW

The physics of sound: note frequencies, decibels, harmonics, tempo and the Doppler pitch shift

17 formulae

Sports & Motion AnalyticsNEW

The maths behind the game: projectile range, pace, xG, VO₂ max, Elo and player ratings

19 formulae

Cryptography & SecurityNEW

Keeping secrets safe: modular arithmetic, RSA, entropy, hashing and error-correcting codes

15 formulae

Photography & ImagingNEW

Light and lenses: exposure, f-stops, depth of field, hyperfocal distance and image resolution

15 formulae

Automotive & EnginesNEW

What makes cars go: horsepower, torque, compression, gearing, fuel economy and braking

16 formulae

Marine & NauticalNEW

Ships and the sea: hull speed, buoyancy, draft, knots and great-circle navigation

15 formulae

Signal Processing & DSPNEW

Turning signals into data: sampling, Nyquist, FFT bins, SNR, filters and quantisation

15 formulae

Renewable EnergyNEW

Clean power maths: solar yield, wind turbines, capacity factor, batteries and LCOE

15 formulae

Actuarial & InsuranceNEW

Pricing risk: premiums, loss ratios, annuities, life expectancy and expected claims

15 formulae

Robotics & ControlNEW

Making machines move: PID control, kinematics, torque, gear reduction and encoders

15 formulae

Agriculture & SoilNEW

Farming by numbers: crop yield, seed rate, irrigation, fertiliser, livestock and stocking

14 formulae

Game Theory & DecisionNEW

The maths of choices: expected value, utility, the Kelly criterion, minimax and Bayes

14 formulae

Real Estate & MortgagesNEW

Property maths: mortgage payments, LTV, cap rate, rental yield, ROI and price per area

14 formulae

Culinary & Baking MathNEW

Kitchen maths: baker's percentages, hydration, recipe scaling, food cost and dough temperature

17 formulae

HVAC & RefrigerationNEW

Heating, cooling and air: sensible/latent loads, COP, EER, airflow, humidity and refrigeration tons

17 formulae

Logistics & Supply ChainNEW

Inventory and delivery maths: EOQ, reorder points, safety stock, turnover and Little's Law

17 formulae

Petroleum & DrillingNEW

Oilfield maths: hydrostatic pressure, mud weight, API gravity, buoyancy, ECD and production decline

16 formulae

Surveying & GeomaticsNEW

Measuring the land: slope and grade, coordinate areas, stadia, traverse latitudes and map scale

16 formulae

Telecom & NetworkingNEW

Signals and data links: Shannon capacity, path loss, throughput, latency, subnets and Erlang traffic

17 formulae

Digital Marketing & AnalyticsNEW

Advertising metrics, social-media analytics and customer-value formulas

15 formulae

Epidemiology & Public HealthNEW

Disease-spread models, outbreak metrics and population-health measures

13 formulae

Quantum ComputingNEW

Qubit states, quantum gates, algorithms and information measures for quantum processors

12 formulae

Pharmacology & DosageNEW

Drug dosing, pharmacokinetics, clearance and IV-drip calculations for clinical practice

12 formulae

Scientific Laws & PrinciplesNEW

Landmark laws of chemistry and physics — conservation, gas laws, electrolysis, diffusion, cooling and more

18 formulae

Mental Maths Mavericks

Discover ancient Vedic mathematics techniques, mental math shortcuts, and speed calculation methods that will transform how you solve problems.

Vedic Mathematics

Mental Math Shortcuts

Speed Calculation

Algebra & Number Tricks

Everyday & Estimation

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Popular Formulae

Quadratic Formula

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

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Pythagorean Theorem

a^2 + b^2 = c^2

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E = mc²

E = mc^2

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Euler's Totient

\phi(n) = n \prod_{p|n}\left(1 - \frac{1}{p}\right)

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Bayes' Theorem

P(A|B) = \frac{P(B|A)P(A)}{P(B)}

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Taylor Series

f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(a)}{n!}(x-a)^n

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Video Tutorials

Maths in Everyday Life

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Did You Know?

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Browse by Category

Arithmetic & Basics

Algebra

Geometry & Trigonometry

Trigonometry

Calculus

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Data Science & ML

Linear Algebra

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Physics Laws & Theorems

Thermodynamics & Heat

Optics & Waves

Electricity & Magnetism

Fluid Mechanics

Modern & Quantum Physics

Electronics & Circuits

Chemistry

Biology & Life Sciences

Health & Fitness

Nutrition & Food

Astronomy & Space

Engineering

Materials & Civil

Aviation & Aeronautics

Finance & Interest

Accounting

Business & Commerce

Economics

Currency & Forex

Everyday Math

Time & Calendar

Geography & Earth

Environmental Science

Unit Conversions

Number Theory

Computer Science

Machine Learning & AI

Weather & CalamitiesNEW

Media & DataNEW

AvionicsNEW

Revenue & SalesNEW

Music & AcousticsNEW

Sports & Motion AnalyticsNEW

Cryptography & SecurityNEW

Photography & ImagingNEW

Automotive & EnginesNEW

Marine & NauticalNEW

Signal Processing & DSPNEW

Renewable EnergyNEW

Actuarial & InsuranceNEW

Robotics & ControlNEW

Agriculture & SoilNEW

Game Theory & DecisionNEW

Real Estate & MortgagesNEW

Culinary & Baking MathNEW

HVAC & RefrigerationNEW

Logistics & Supply ChainNEW

Petroleum & DrillingNEW

Surveying & GeomaticsNEW

Telecom & NetworkingNEW

Digital Marketing & AnalyticsNEW

Epidemiology & Public HealthNEW

Quantum ComputingNEW

Pharmacology & DosageNEW

Scientific Laws & PrinciplesNEW

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