Math calculators
Percentages and everyday maths, with the working shown.
49 calculators · every one shows its working
- Percentage CalculatorFind X% of a number, what percent one number is of another, or the percentage change between two numbers.
- Scientific CalculatorA free online scientific calculator with trigonometry, logs, powers, roots, factorials and history.
- Fraction CalculatorAdd, subtract, multiply and divide fractions, simplified, with mixed numbers and decimals.
- Average CalculatorMean, median, mode, range and standard deviation of any list of numbers.
- Ratio CalculatorSolve A : B = C : D, and simplify a ratio to whole numbers.
- Area CalculatorArea of a rectangle, circle, triangle, trapezoid, parallelogram or ellipse, in square metres and feet.
- Volume CalculatorVolume and litres held by a box, cylinder tank, sphere, cone or pyramid.
- Quadratic Equation CalculatorSolve ax² + bx + c = 0 with the discriminant, real or complex roots and the vertex.
- Exponent, Root and Log CalculatorPowers, square and cube roots, any n-th root, and logarithms in any base.
- Random Number GeneratorPick one or many random whole numbers in any range, with or without repeats, and share the draw.
- Speed, Distance and Time CalculatorFind travel time, average speed or distance from the other two, in km/h, mph or m/s.
- HCF and LCM CalculatorThe highest common factor (GCD) and least common multiple of two or more whole numbers.
- Prime Factorization CalculatorCheck whether a number is prime, and break it into prime factors with its number of divisors.
- Permutation and Combination CalculatornCr and nPr: how many ways to choose or arrange r items from n, with or without repeats.
- Rounding CalculatorRound to decimal places, significant figures or the nearest 10, 100 or 1,000, including banker's rounding.
- Scientific Notation ConverterWrite any number in scientific, E and engineering notation, or back out in full.
- Right Triangle CalculatorThe missing side by Pythagoras, plus both angles, the area and the perimeter.
- Circle CalculatorRadius, diameter, circumference and area of a circle from any one of them.
- Decimal to Fraction CalculatorTurn a decimal into a simplified fraction or mixed number, or the closest simple fraction.
- Distance, Midpoint and Slope CalculatorThe distance, midpoint, slope and line equation between two points.
- Weighted Average CalculatorThe weighted average of values with different weights, such as marks that count for different shares.
- Long Division CalculatorDivide with the quotient, remainder and every long-division step shown.
- Factors CalculatorAll the factors of a number, its factor pairs, and how many there are.
- Triangle CalculatorSolve any triangle from three sides, two sides and an angle, or two angles and a side.
- Square Root SimplifierSimplify square roots and cube roots to simplest radical form, like √72 = 6√2.
- Probability CalculatorThe chance of A and B, A or B, neither, or something happening at least once over several tries.
- Percent Error CalculatorThe percent error between a measured or estimated value and the true value.
- Z-Score CalculatorThe z-score of a value and the share of a normal distribution below and above it.
- Simultaneous Equations CalculatorSolve two linear equations in x and y, with Cramer's rule shown step by step.
- Arithmetic and Geometric Sequence CalculatorThe nth term and the sum of an arithmetic or geometric sequence, with the terms listed.
- Surface Area CalculatorTotal and curved surface area of a cube, box, cylinder, sphere, cone or hemisphere.
- Arc Length and Sector Area CalculatorArc length, sector area, chord and segment area from a circle's radius and angle.
- Matrix Determinant and Inverse CalculatorThe determinant, trace and inverse of a 2 × 2 or 3 × 3 matrix.
- Percentage Difference CalculatorThe percentage difference between two values, and the percentage change from one to the other.
- Quartile CalculatorThe five-number summary: minimum, lower quartile, median, upper quartile and maximum, with outliers.
- Linear Regression CalculatorThe line of best fit, correlation coefficient and R² for your data, with predictions.
- Grouped Data Mean, Median and ModeMean, median and mode of grouped data from class intervals and frequencies, with the working.
- Sample Size CalculatorHow many survey responses you need for your confidence level and margin of error.
- Confidence Interval CalculatorThe confidence interval and margin of error for a mean or a proportion.
- Standard Deviation CalculatorPopulation or sample standard deviation and variance, with every step of the working.
- Regular Polygon CalculatorArea, perimeter, interior angle, apothem and circumradius of a regular polygon with any number of sides.
- Logarithm Calculator (log, ln, antilog)The log of a number in base 10, base e, base 2 or any base, and the antilog, with the change-of-base working.
- Significant Figures CalculatorCount the significant figures in a number and round it to any number of sig figs, with the rules explained.
- Distance Between Coordinates CalculatorThe straight-line distance between two latitude and longitude points in km and miles, with the starting direction.
- Map Scale CalculatorTurn a distance on a map or plan into the real distance, the other way round, or find the scale.
- Binomial Probability CalculatorThe chance of exactly, at least or at most k successes in n tries, with the mean and standard deviation.
- Percentile CalculatorThe percentile rank of a value in a list, or the value at any percentile, with the working.
- Golden Ratio CalculatorSplit any length by the golden ratio, 1.618, or find the matching longer or shorter part.
- Expected Value CalculatorThe long-run average of outcomes with different chances, with the spread and the chance of a loss.