77 tools
Mathematics
Percentages, fractions, powers, geometry, statistics and everyday maths, each one showing the steps behind the result.
Tools in this category
- MathematicsPercentage CalculatorThe three questions people actually ask about percentages, answered at once, including the reverse ones.
- MathematicsPercentage Change CalculatorFind the percentage increase or decrease between two values, with the absolute difference.
- MathematicsRectangle Area CalculatorArea, perimeter and diagonal of a rectangle or square.
- MathematicsScientific CalculatorType a whole expression and get the answer, with brackets, powers, roots, logs and trigonometry.
- MathematicsCircle Area CalculatorArea, circumference and diameter of a circle from its radius.
- MathematicsWhat Percentage Is X of YTurn a part and a total into a percentage share.
- MathematicsRule of Three CalculatorSolve a direct proportion: if A gives B, what does C give?
- MathematicsEquation SolverFinds the real solutions of an equation in x, including ones no formula can give you.
- MathematicsRandom Number GeneratorDraws random whole numbers in a range, with or without repeats, from a seed you can publish.
- MathematicsDerivative Calculator with StepsThe exact derivative of a function, term by term, naming the rule used at each step.
- MathematicsPythagorean Theorem CalculatorFind the hypotenuse of a right triangle from the two shorter sides.
- MathematicsIntegral Calculator with StepsThe antiderivative where the form is one that can be recognised, and the definite integral either way.
- MathematicsTriangle Area CalculatorArea of any triangle from its base and perpendicular height.
- MathematicsCylinder Volume CalculatorVolume in cubic metres and litres, plus total surface area, of a cylinder.
- MathematicsMatrix CalculatorAdd, subtract, multiply, transpose or scale matrices of any size up to twelve by twelve.
- MathematicsCurve Fitting CalculatorThe best straight line, polynomial, exponential, power or logarithmic fit to your data, by least squares.
- MathematicsFraction CalculatorAdd, subtract, multiply or divide two fractions, with the answer simplified and as a decimal.
- MathematicsRatio Calculator (simplify and share)Simplify a ratio to its smallest whole numbers and split an amount between two parts.
- MathematicsLimit CalculatorWhere a function is heading, approached from both sides, with l'Hôpital's rule applied when the form is indeterminate.
- MathematicsTriangle SolverEvery side, every angle, the area and the two radii of any triangle, from whichever three measurements you have.
- MathematicsBox Volume CalculatorVolume in cubic metres and litres, plus surface area, of a rectangular box.
- MathematicsMatrix Inverse CalculatorThe inverse of a square matrix by Gauss-Jordan elimination, with the identity check that proves it.
- MathematicsRounding CalculatorThe same number by five different rounding rules, plus significant figures and the nearest multiple.
- MathematicsDecimal to Fraction CalculatorA decimal written as a fraction in lowest terms, including recurring decimals done exactly.
- MathematicsPercentage Difference CalculatorThe symmetric percentage difference between two values, plus the change in each direction.
- MathematicsQuadratic Formula Calculator with StepsThe roots of ax² + bx + c = 0 with the discriminant worked out, the factored form and the vertex.
- MathematicsTaylor Series CalculatorThe Taylor or Maclaurin polynomial of a function, with each coefficient and how far the approximation is off.
- MathematicsFraction to Decimal ConverterTurn any fraction into a decimal number and a percentage.
- MathematicsInterpolation CalculatorA value between the points you measured, by straight line and by the polynomial through all of them.
- MathematicsComplex Number Polar Form CalculatorA complex number in both forms, with its modulus, argument, conjugate, powers by De Moivre and all its n-th roots.
- MathematicsNewton-Raphson CalculatorA root of any function by Newton's method, with the full iteration table and an honest verdict on convergence.
- MathematicsCubic Equation CalculatorThe real roots of ax³ + bx² + cx + d = 0, by Cardano or the trigonometric form, with each root checked.
- MathematicsDifferential Equation CalculatorThe exact solution of a first-order linear equation with constant coefficients, with its equilibrium and time constant.
- MathematicsExponent CalculatorRaise any number to any power, including negative and fractional exponents.
- MathematicsNumerical Integration CalculatorThe area under a curve by the trapezium, midpoint and Simpson rules, with each one's error measured.
- MathematicsPrime Factorization CalculatorBreaks a number into its prime factors, with how many divisors it has and what they add up to.
- MathematicsLaplace Transform CalculatorThe transform of a function of time, term by term, using the standard table and linearity.
- MathematicsProportional Division CalculatorAn amount split between any number of shares in proportion, with the rounding handled so the total still adds up.
- MathematicsPrime Number CheckerWhether a number is prime, and the nearest prime above and below it.
- MathematicsRoot CalculatorFind the square root, the cube root or any nth root of a positive number.
- MathematicsBisection Method CalculatorA root found by repeatedly halving an interval, with every step shown and a check that the interval brackets one.
- MathematicsTrigonometry CalculatorSine, cosine and tangent of an angle given in degrees, plus the angle in radians.
- MathematicsLaw of Sines CalculatorThe missing side or angle from the sine rule, with the common ratio and the circumradius, and a warning when two triangles fit.
- MathematicsNumber Base ConverterConvert whole numbers between binary, octal, decimal and hexadecimal.
- MathematicsLaw of Cosines CalculatorThe third side from two sides and the angle between them, or any angle from the three sides, with the substitution shown.
- MathematicsSphere Volume CalculatorVolume and surface area of a sphere from its radius.
- MathematicsFibonacci CalculatorAny term of the Fibonacci sequence, the terms around it, the running total and how close the ratio has got to the golden ratio.
- MathematicsGCD and LCM CalculatorFind the greatest common divisor and the least common multiple of two whole numbers.
- MathematicsTriangle Area from Three SidesArea, perimeter and height of a triangle when you only know the three side lengths.
- MathematicsRoman Numeral ConverterWrite any number from 1 to 3999 in Roman numerals.
- MathematicsParabola CalculatorVertex, focus, directrix, latus rectum and roots of y = ax² + bx + c.
- MathematicsPercentage Error CalculatorHow far a measurement is from the true value, in percent and in absolute terms.
- MathematicsSuccessive Percentage ChangesThe real combined effect of two percentage changes applied one after the other.
- MathematicsLinear Equation SolverSolve ax + b = c for x, with the answer substituted back as a check.
- MathematicsLogarithm CalculatorLogarithm in any base, plus the natural logarithm and the base-2 logarithm.
- MathematicsPrism Volume CalculatorVolume and surface area of a prism whose base is a regular polygon — triangular, square, hexagonal or any other.
- MathematicsDistance Between Two PointsStraight-line distance, midpoint and direction angle between two coordinates.
- MathematicsTrapezoid Area CalculatorArea of a trapezoid from its two parallel sides and its height.
- MathematicsVector Dot and Cross Product CalculatorDot product, cross product and its magnitude, the angle between two vectors and their lengths.
- MathematicsComplex Number CalculatorProduct, quotient and sum of two complex numbers, with the modulus and argument of the first.
- MathematicsVolume by Water DisplacementThe volume of an irregular object from how far the water rises, and its density if you also weigh it.
- MathematicsFactorial Calculatorn factorial, the number of digits it has and the value of (n−1)!.
- MathematicsArithmetic Sequence CalculatorThe nth term and the sum of the first n terms of an arithmetic progression.
- MathematicsHyperbola CalculatorFoci, vertices, eccentricity, asymptotes and latus rectum of x²/a² − y²/b² = 1.
- MathematicsMatrix Determinant CalculatorThe determinant of a square matrix of any size up to twelve, by Gaussian elimination.
- MathematicsRegular Polygon CalculatorArea, perimeter, apothem, circumradius and interior angle of any regular polygon.
- MathematicsScientific Notation CalculatorTurn a number written as m × 10ⁿ into ordinary decimal form.
- MathematicsCircle Sector CalculatorArc length, sector area, chord and perimeter of a slice of a circle.
- MathematicsCone Volume CalculatorVolume and slant height of a cone from its radius and vertical height.
- MathematicsSlope and Line Equation CalculatorSlope, y-intercept, angle and x-intercept of the line through two points.
- MathematicsEllipse Area and PerimeterArea, approximate perimeter and eccentricity of an ellipse from its two semi-axes.
- MathematicsGeometric Sequence CalculatorTerm n, the sum of the first n terms and the infinite sum of a geometric progression.
- MathematicsSignificant Figures RounderRound any number to a chosen number of significant figures, with the rounding error.
- MathematicsSystem of Equations CalculatorAny number of simultaneous linear equations solved by Gaussian elimination, with the answer substituted back.
- MathematicsTorus Volume CalculatorVolume, surface area and diameters of a torus from the ring radius and the tube radius.
- MathematicsAnnulus (Ring) Area CalculatorArea of a ring from the outer and inner radius, with the wall thickness.
- MathematicsPyramid Volume CalculatorVolume, base area and slant height of a rectangular-based pyramid.