Browse 45 free calculators in the Mathematics category.
Percentage Calculator - Universal percentage calculator for discounts, markups, VAT and other percentage operations. Calculate any percentage quickly and easily.
Pythagorean Theorem Calculator - Calculate the missing side of a right triangle using the Pythagorean theorem (a² + b² = c²). Enter any two sides to find the third.
Fraction Calculator - Add, subtract, multiply and divide fractions. Automatically simplifies to lowest terms and shows step-by-step solution.
Average Calculator - Calculate arithmetic, weighted, geometric and harmonic averages. Enter numbers, get instant results with step-by-step formulas.
Standard Deviation Calculator - Calculate standard deviation (σ), variance (σ²) and mean for any data set. Enter numbers separated by commas for instant statistical analysis.
Proportion Calculator - Solve proportions: a/b = c/x. Find the missing value or verify if a proportion is correct using cross multiplication.
Powers & Roots Calculator - Raise to any power, extract square roots (√), cube roots (∛) and nth roots. Supports decimal and negative exponents.
Logarithm Calculator - Calculate logarithms with any base. Supports log base 10, natural log (ln), binary log and custom base. Step-by-step breakdown with conversion formulas.
GCD & LCM Calculator - Find the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of two or more numbers. Step-by-step Euclidean algorithm with prime factorization.
Area Calculator - Calculate the area of any shape - square, rectangle, triangle, circle, trapezoid, parallelogram or rhombus. Enter dimensions and get the result with the formula used.
Quadratic Equation Calculator - Solve any quadratic equation ax² + bx + c = 0. Get the discriminant, both roots, vertex coordinates, and a step-by-step formula breakdown.
Volume Calculator - Volume of a cube, cuboid, sphere, cylinder, cone, or pyramid - enter dimensions, get the result with the formula shown step by step.
Perimeter Calculator - Total boundary length for any flat shape - square, rectangle, triangle, circle, or parallelogram. Enter side lengths or radius, see the formula and result.
Number System Converter - Convert numbers between decimal (DEC), binary (BIN), octal (OCT) and hexadecimal (HEX). Type a number in any base and get all four representations instantly.
Prime Number Calculator - Is your number prime? Enter any integer 2 or above - the calculator checks primality, lists all divisors and optionally finds every prime up to that number.
Factorial Calculator - How fast does n! grow? Type any integer from 0 to 170 and get the exact factorial value, the expanded multiplication and scientific notation in one click.
Scale Calculator - Working with a 1:100 floor plan or a 1:50,000 topographic map? Enter the scale ratio and a measurement - the calculator converts between real-world and scaled dimensions in mm, cm, m or km.
Coordinate Calculator - Two points on a plane define a line segment. Enter coordinates (x1, y1) and (x2, y2) to get the Euclidean distance, midpoint coordinates and the full formula shown step by step.
Absolute Value Calculator - The absolute value strips the sign and leaves the magnitude. Enter any real number to get |x| with a clear explanation of whether and why the sign changed.
Prime Factorization Calculator - Break any natural number into its prime factors and list every divisor. Type a number from 2 to 1,000,000 and get the full factorization, divisor count, and divisor list.
Quadratic Function Calculator - Coefficients a, b, c in and the full picture out - discriminant, zeros, vertex, axis of symmetry, and parabola direction. Covers all three discriminant cases.
Linear Function Calculator - Two coefficients define a straight line. Enter slope a and intercept b to get the equation, x-intercept (zero), y-intercept, and whether the function is increasing or decreasing.
Arithmetic Sequence Calculator - Every linear pattern starts with two numbers: the first term and the common difference. Enter both plus the position n to get the nth term, the general formula, and the sum of the first n terms using Gauss's method.
Geometric Sequence Calculator - Model exponential growth, decay, and compound patterns. Enter the first term, common ratio, and position to get the nth term and partial sum of a geometric sequence.
Median Calculator - Which value sits in the exact middle of your data set? Paste your numbers, get the median instantly - plus sorted data, count, and a step-by-step explanation of how the middle value was found.
Sum & Product Calculator - Enter a list of numbers separated by commas and get the sum, product, arithmetic mean, minimum, maximum and count in one click.
Length Unit Converter - How many feet in a meter? Type a value, pick two of the 8 supported units and get the answer with the conversion formula shown step by step.
Mass Unit Converter - Convert between milligrams, grams, dekagrams, kilograms, metric tons, ounces and pounds. Metric and imperial weight units with the exact formula.
Roman Numeral Converter - Type a number from 1 to 3999 and get its Roman numeral equivalent - or paste Roman numerals like MMXXVI to decode them back to Arabic. Full breakdown of each conversion included.
Volume Unit Converter - Milliliters, liters, cubic meters, gallons, fluid ounces - pick any two and the converter does the rest. Covers both metric and US imperial volume units with the formula shown.
Angle Unit Converter - Degrees, radians, gradians or turns - enter an angle in one unit and see all four instantly. Also shows DMS notation and trigonometric values (sin, cos, tan) for any angle.
Rounding Calculator - Five rounding methods at once - standard, ceiling, floor, banker's and truncation. Compare results and rounding errors for any number and precision.
Probability Calculator - What are the odds? Calculate probability of any event as fraction, percentage and odds. Four modes: single event, independent events, union, and repeated trials.
Variations with Repetition Calculator - Count all possible arrangements when repetition is allowed. Enter the number of elements and positions - get variations with repetition, permutations without, and a brute-force time estimate.
Combinations & Permutations Calculator - How many ways can you choose or arrange items from a set? Enter n and r to get combinations C(n,r), permutations P(n,r), and variations with repetition instantly.
Matrix Calculator - Perform operations on 2x2 and 3x3 matrices: addition, subtraction, multiplication, transpose, determinant and inverse. Enter elements, pick an operation, get the result with step-by-step explanation.
Scientific Notation Calculator - Convert any number to scientific notation, engineering notation, and E notation. See the mantissa, exponent, SI prefix, and full number side by side.
Fibonacci Sequence Calculator - Compute any term of the Fibonacci sequence, generate a list of the first N terms, or check whether a given number belongs to the sequence. See the golden ratio convergence and digit counts for large terms.
Combinations with Repetition Calculator - How many ways can you choose k items from n types when repetition is allowed and order does not matter? Get the result using the formula C(n+k-1, k) with a side-by-side comparison to standard combinations.
Triangle Angle Calculator - Find the missing angle in a triangle or verify whether three given angles form a valid triangle. The sum of interior angles always equals 180 degrees.
Binomial Expansion Calculator - Full expansion of (2x - 3)^4, (x + 1/x)^6 or (a + b)^n with each term's coefficient, a lookup for any power of x, exact C(n, k) up to n = 1000 and Pascal's triangle.
Modulo Calculator - Find a mod b for negative numbers, decimals or 300-digit integers, see how Python, Excel and JavaScript differ, and get powers mod n, remainder tables and divisibility checks.
Laplace Transform Calculator - Need F(s) for e^(-2t)sin(5t), the square root of t or a delayed unit step? Get the Laplace transform with its region of convergence, poles, inverse pair and value at any real s.
Product Notation Calculator - Exact products of sequence terms in capital pi notation: arithmetic, geometric or any formula in n, from index m to index n, with fractions kept exact and the running product after each term.
Series Convergence Calculator - Check whether a geometric, p-series, alternating or telescoping series converges, see the exact sum and the partial sum of up to a million terms, and find how many terms any accuracy needs.