67 free tools

Maths and science calculators

Arithmetic, algebra, geometry, statistics, physics and chemistry, with the steps shown where it helps.

By Nitin Raturi · Last reviewed

Use these for homework checks, exam practice or quick work sums. Many show the working line by line, so you can follow the method rather than copy an answer.

Each page states the formula, the units it expects and how it rounds, and is checked against values worked out independently.

All tools 67

From percentages and fractions to matrices, distributions, hypothesis tests, motion and chemistry.

  • Percentage Calculator

    Find percentages, shares, changes and original values, with the right base made clear.

  • Fraction Calculator

    Add, subtract, multiply and divide fractions and mixed numbers with exact steps.

  • Scientific Calculator

    Type a full calculation with brackets, powers, roots, logs and trigonometry.

  • Average Calculator

    Compare mean, median, repeated modes and an optional weighted average from your list.

  • LCM & HCF Calculator

    Find the LCM and HCF (GCD) of up to 20 numbers, with prime factors and Euclid’s steps.

  • Quadratic Formula Calculator

    Solve ax² + bx + c = 0 with the discriminant, exact surd form, complex roots and vertex.

  • Standard Deviation Calculator

    Find the sample or population standard deviation of a list, with variance, mean and standard error.

  • Ratio Calculator

    Simplify a ratio to lowest terms, or solve A : B = C : x to scale it.

  • Area Calculator

    Find the area of six common shapes in your unit, square metres, square feet and gaj.

  • Big Number Calculator

    Add, subtract, multiply, divide and raise whole numbers of any length, exactly.

  • Binary Calculator

    Add, subtract, multiply, divide, AND, OR or XOR binary numbers exactly, with the answer in every base.

  • Binomial Distribution Calculator

    Find exact, at-most and at-least binomial probabilities, with the mean and standard deviation.

  • Chi-Square Calculator

    Run a chi-square goodness-of-fit test or test of independence, with χ², degrees of freedom and p-value.

  • Circle Calculator

    Find radius, diameter, circumference and area of a circle from any one of them.

  • Complex Number Calculator

    Add, subtract, multiply and divide complex numbers, with modulus, argument and polar form.

  • Confidence Interval Calculator

    Find the confidence interval for a mean or a proportion, with the margin of error.

  • Cubic Equation Calculator

    Solve ax³ + bx² + cx + d = 0 for all three roots, real or complex, with the discriminant.

  • Decibel Calculator

    Add identical sound sources and find the level at a new distance, with the inverse-square law.

  • Density Calculator

    Find density, mass or volume from the other two, in g/cm³ and kg/m³.

  • Dew Point Calculator

    Find the dew point from temperature and humidity, or the humidity from the dew point.

  • Distance Calculator

    Find the distance and midpoint between two points in 2D or 3D, with the exact square-root form.

  • Exponent Calculator

    Raise any number to any power: whole, negative or fractional exponents, explained.

  • Factor Calculator

    List every factor and factor pair of a whole number, with the count, sum and kind.

  • GDP Calculator

    Add up GDP from consumption, investment, government and net exports, or turn nominal GDP into real GDP.

  • Gravitational Force Calculator

    Find the gravitational pull between two masses with Newton’s law, and each body’s field.

  • Half-Life Calculator

    Find the amount left, the time, the half-life or the starting amount in exponential decay.

  • Hex Calculator

    Add, subtract, multiply, divide, AND, OR or XOR hexadecimal numbers exactly, with the answer in every base.

  • Ideal Gas Law Calculator

    Solve PV = nRT for pressure, volume, moles or temperature, with unit conversions shown.

  • Kinematics Calculator

    Find final velocity, displacement and stopping distance for constant acceleration in a straight line.

  • Kinetic Energy Calculator

    Find the kinetic energy and momentum of a moving object from its mass and speed.

  • Linear Regression Calculator

    Fit the least-squares line to x, y data, with slope, intercept, r, r² and a prediction.

  • Log Calculator

    Find the logarithm of any number in any base, with ln, log₁₀ and log₂ alongside.

  • Long Division Calculator

    Divide whole numbers step by step, with the remainder and the exact recurring decimal.

  • Matrix Calculator

    Add, multiply, invert and find determinants of matrices up to 8 × 8, in exact fractions.

  • Molarity Calculator

    Find a solution’s molarity from moles or mass, or after a dilution.

  • Molecular Weight Calculator

    Find the molar mass of any formula, with brackets, hydrates and each element’s share.

  • Normal Distribution Calculator

    Find the probability between two values of a normal distribution, and the value at any percentile.

  • Number Sequence Calculator

    Find the nth term and the sum of an arithmetic or geometric sequence.

  • P-value Calculator

    Find the p-value of a z or t test statistic, left, right or two-tailed, and compare it with α.

  • Pendulum Calculator

    Find a pendulum’s period from its length and gravity, exactly at any amplitude, not just small swings.

  • Percent Error Calculator

    Find the percent error between a measured and an expected value, and whether you were over or under.

  • Percentile Calculator

    Find any percentile and quartile of a data set by the OpenStax or Excel methods, and a value’s percentile rank.

  • Permutation and Combination Calculator

    Count the ways to choose or arrange r items from n, with or without repeats, exactly.

  • pH Calculator

    Turn pH, pOH, [H₃O⁺] or [OH⁻] into the other three, with acidic, neutral or basic shown.

  • Poisson Distribution Calculator

    Find exact, at-most and at-least Poisson probabilities from an average rate.

  • Prime Factorization Calculator

    Break any whole number up to 10¹² into prime factors, with powers and the number of divisors.

  • Probability Calculator

    Combine the chances of two independent events, and of one happening at least once in many tries.

  • Projectile Motion Calculator

    Find the range, flight time and maximum height of a projectile from its speed, angle and height.

  • RC Time Constant Calculator

    Find an RC circuit’s time constant and the capacitor voltage at any moment, charging or discharging.

  • Root Calculator

    Find square, cube and any n-th root, with the exact simplified radical form for whole numbers.

  • Rounding Calculator

    Round numbers to decimal places or significant figures exactly, half up, half even, up or down.

  • Sample Size Calculator

    Find how many people to survey for a given confidence level and margin of error.

  • Scientific Notation Calculator

    Write any number as a × 10ⁿ, in E notation and engineering form, rounded exactly to the figures you need.

  • Series and Parallel Resistor Calculator

    Add up resistors in series and in parallel, with k and M values and the 4k7 style.

  • Significant Figures Calculator

    Count significant figures and round to any number of them, by the OpenStax rules.

  • Simple Interest Calculator

    Find simple interest, principal, rate or time, with days on actual/365, and compare it with compound interest.

  • Slope Calculator

    Find the slope, equation, angle, distance and midpoint of the line through two points.

  • Specific Heat Calculator

    Find the heat to warm or cool a substance from q = m c ΔT, in J, kcal and kWh, with heater time.

  • Speed Calculator

    Find average speed, distance or time from the other two, in km/h, m/s or mph.

  • System of Equations Calculator

    Solve 2 to 6 linear equations exactly, with elimination steps, or see when there is no unique solution.

  • t-Test Calculator

    Compare two sample means with Welch’s t-test from summary statistics: t, degrees of freedom and p-value.

  • Triangle Calculator

    Solve a triangle from three known sides and/or angles, including ambiguous SSA cases.

  • Vector Calculator

    Find the dot product, cross product, angle, magnitudes, sum and difference of two 3D vectors.

  • Volume Calculator

    Calculate volume and total surface area for ten common solid shapes, with unit conversions.

  • Wavelength and Frequency Calculator

    Convert wavelength to frequency or back, and find each photon’s energy in joules and electronvolts.

  • Weight Calculator

    Turn mass into weight on Earth, the Moon, Mars and every planet, with what a scale would read.

  • Z-Score Calculator

    Find how many standard deviations a value is from the mean, with the normal probabilities below and above it.

More from WebTools

  • Money calculators: Plan investments, compare loans, check tax and salary figures, and see the working behind every answer.
  • Health calculators: Body measures, energy needs, pregnancy dates and weather-related heat stress, each with its formula and source.
  • Developer tools: Formatters, encoders, decoders and checkers for everyday development work, all running in your browser.
  • Everyday tools: Dates and ages, unit and land area conversions, home building estimates, text clean-up and image resizing.

Every tool explains its method and sources. See how we test the maths, or report a possible error.