Mathematics Calculators
88 tools, each with formula and worked examples
Algebra, geometry, statistics, and number theory tools.
Geometry· 5
Area & Perimeter
Calculate area and perimeter for seven shapes: circle, rectangle, square, triangle, trapezoid, parallelogram, …
Circle Calculator
Find radius, diameter, circumference, and area from any single known circle measurement. Shows reverse enginee…
Right Triangle
Solve right triangles using the Pythagorean theorem and SOH CAH TOA trigonometry. Find sides, angles, area, an…
Triangle Solver
Solve any triangle using SSS, SAS, or ASA input modes. Computes all sides, angles, area, and perimeter with dy…
Volume & Surface Area
Calculate volume and surface area of spheres, cubes, rectangular prisms, cylinders, cones, and pyramids. Free,…
Statistics· 14
Average Calculator
Find mean, median, min, max, and sum from any data set. Smart parser strips dollar signs, commas, and percent …
Confidence Interval
Calculate confidence intervals for a population mean. Breaks out the Margin of Error (MOE), critical Z-value, …
Mean Median Mode
Calculate the mean, median, mode, sum, and range from any data set with step-by-step median breakdown for even…
P-value Calculator — Statistical Si
Compute p-values from Z-scores or T-scores for one-tailed and two-tailed hypothesis tests. Free online calcula…
Percent Error
Calculate percent error, absolute error, signed error, accuracy, and relative error between accepted and exper…
Permutations & Combos
Calculate permutations (nPr) and combinations (nCr) with step-by-step factorial breakdown. Toggle between orde…
Probability
Compute joint (A∩B), union (A∪B), conditional P(A|B), and complement probabilities for independent or mutually…
Random Numbers
Generate cryptographically secure random numbers using Web Crypto API. Customizable range, count, decimal prec…
Sample Size
Determine the ideal sample size for surveys and research studies. Adjust for population size, confidence level…
Standard Deviation
Compute standard deviation, variance, mean, median, range, and coefficient of variation from any dataset. Free…
Statistics
Comprehensive descriptive statistics calculator with a dynamic box-and-whisker plot. Computes the five-number …
Z-Score Calculator — Free Online Ca
Calculate the Z-score from a raw score, population mean, and standard deviation. Visualizes the result on a st…
Correlation
Calculate the Pearson correlation coefficient between two variables. Shows r, r², strength, and direction with…
Descriptive Stats
Compute key descriptive statistics for any dataset: mean, median, mode, range, variance, standard deviation, q…
General· 23
Basic Calc
A full-featured basic calculator with number pad, history tape, and order-of-operations support. Perfect for q…
Conversion
Convert between hundreds of units across 8 categories including weight, length, temperature, volume, area, spe…
Date Calculator
Add or subtract years, months, weeks, and days from any date. Includes a business-days-only mode that skips we…
GDP Calculator
Calculate Nominal and Real GDP using the expenditure approach: GDP = C + I + G + (X − M). Free online calculat…
GPA Calculator
Compute weighted and unweighted GPA from course grades and credits. Target GPA mode shows the exact grades nee…
Final Grade
Determine what score you need on your final exam to achieve your target overall grade. Supports any current gr…
Scientific Calc
Full-featured online scientific calculator with trigonometric functions, logarithms, memory operations, and ca…
Sci Notation
Convert between decimal and scientific notation. Learn how the decimal point jumps left or right with an inter…
Time & Hours
Calculate time differences between start and end times with automatic overnight detection, break deductions, a…
Time Card Calculator
Track weekly work hours with day-by-day entries. Calculates regular and overtime hours, handles 12hr/24hr time…
Time Zone Calculator
Convert time between 24 time zones worldwide with business hours overlay. Green-yellow-gray color-coded grid s…
Time Duration
Calculate the exact duration between two dates and times down to the second. Supports business days mode and m…
Day Counter
Count the exact number of days between two dates with precision down to the day. Includes business days exclus…
Day of Week
Find the day of the week for any date using Zeller's congruence. Features a perpetual calendar algorithm expla…
pH Calculator
Calculate pH from hydrogen ion concentration, convert between pH and pOH, and classify solutions as acidic, ba…
Base Converter
Convert numbers between any two bases from binary (base 2) to base 36. Supports hexadecimal, octal, binary, an…
Trig Calculator
Calculate sine, cosine, tangent and their reciprocals for any angle. Also find angles from trig values with re…
Unit Circle
Explore the unit circle by entering any angle. See coordinates, trigonometric values, reference angles, and th…
Law of Sines
Apply the law of sines to solve triangles. Enter known side-angle pairs to find missing sides, angles, and the…
Law of Cosines
Solve triangles using the law of cosines. Find missing sides (SSS) or angles (SAS) with step-by-step work. Fre…
Inverse Trig
Compute inverse trigonometric functions: arcsin, arccos, and arctan. Get results in degrees and radians with t…
Proportion Solver
Solve proportion equations a/b = c/d for any missing value. Enter three known values and find the fourth using…
Test Score
Calculate what grade you need on your final exam to achieve your target overall grade. Handles weighted gradin…
Number Theory· 17
Arbitrary Precision
Perform exact arbitrary-precision integer arithmetic with BigInt. Add, subtract, multiply, divide, and exponen…
Binary & Hex
Convert between Decimal, Binary, Hex, and Octal with positional value breakdown. Perform arithmetic and bitwis…
Common Factors
Find all common factors shared by two numbers. Lists every divisor that divides both numbers evenly, with the …
Factor Calculator
Find all factors of any positive integer with a complete factor pairs table, total factor count, sum of factor…
Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solutions. Shows LCM for common denominators a…
Fraction Converter
Convert fractions to decimals, decimals to fractions, and mixed numbers to decimals. Automatically simplifies …
Greatest Common Factor
Find the Greatest Common Factor (also called GCD or HCF) of two numbers using both the Euclidean algorithm wit…
LCM Calculator
Find the Least Common Multiple of two or more numbers using both the efficient GCD-based formula and the prime…
Long Division
Perform long division with the traditional tableau format. Shows each step — divide, multiply, subtract, bring…
Number Sequences
Identify arithmetic, geometric, and Fibonacci sequences. Find common difference, common ratio, nth-term formul…
Prime Factors
Break any integer into its unique prime factors with an interactive factor tree. Detects perfect squares, cube…
Rounding Calculator
Round numbers to the nearest million, thousand, hundred, ten, unit, tenth, hundredth, thousandth, or ten-thous…
Roman Numerals
Convert numbers to Roman numerals and back, including date conversion. Features subtractive notation breakdown…
Prime Checker
Check if any number is prime using trial division. Find its prime factorization, count all divisors, and see s…
Factorial Calculator
Calculate the factorial of any number from 0 to 170. Shows the step-by-step multiplication, digit count, and t…
Fibonacci Calculator
Calculate the nth Fibonacci number, view the full sequence, and get the sum. Uses iteration and the Binet form…
Common Denominator
Find the least common denominator (LCD) for fractions. Convert each to equivalent form using LCM step-by-step …
Algebra· 29
Distance Calculator
Calculate the Euclidean distance between two points in 1D, 2D, or 3D space. Shows the distance formula, step-b…
Exponent Calculator
Raise any base to any power including negative, fractional, and decimal exponents. Shows expanded form, scient…
Half-Life Calculator — Exponential
Calculate radioactive decay, carbon dating, and drug elimination using the exponential decay formula. Free, in…
Height Predictor
Predict a child's adult height using the Mid-Parental Height (Tanner) method with gender-specific adjustments.…
Log Calculator
Calculate logarithms in any custom base with the change of base formula explained step-by-step. Free, instant,…
Percentage
Calculate percentages in five different ways: what is X% of Y, X is what percent of Y, percent change, add or …
Matrix Calculator
Calculate the determinant and inverse of square matrices from 2×2 to 5×5. Shows step-by-step calculation with …
Root Calculator
Calculate any nth root — square roots, cube roots, and beyond. Shows both radical form and fractional exponent…
Quadratic Solver
Solve any quadratic ax²+bx+c=0 with the quadratic formula. Get real or complex roots, discriminant, vertex, ax…
Ratio Calculator
Simplify ratios, find missing values in proportions, and scale dimensions. Includes common aspect ratio preset…
Slope Calculator
Calculate slope between two points with all three equation forms, distance, midpoint, and angle. Includes simp…
Density Calculator
Calculate density, mass, or volume using ρ = m/V with the formula triangle mnemonic. Includes unit conversion …
Mass Calculator
Calculate mass, density, or volume using m = ρ × V. Shows planetary weight comparison on Earth, Moon, Mars, an…
Weight Calculator
Calculate weight, mass, or gravitational acceleration using the W = mg formula. Compare weight across Earth, M…
Speed Calculator
Calculate speed, distance, or time using S = D/T. Converts between mph, km/h, m/s, and knots with simultaneous…
Molarity Calculator
Calculate molarity, mass, or volume of chemical solutions. Auto-detects compounds and shows step-by-step deriv…
Mol Weight
Calculate molecular weight from any chemical formula with element breakdown and mass percentage composition. S…
Equation Solver
Solve linear (ax + b = 0) and quadratic (ax² + bx + c = 0) equations instantly. Shows discriminant, roots, and…
System Solver
Solve systems of two linear equations using the Cramer Rule determinant method. Get step-by-step solutions for…
Derivative Calc
Compute derivatives of polynomial expressions using the power rule. Get step-by-step differentiation and evalu…
Factoring Calc
Factor quadratic polynomials (ax² + bx + c) into their factored form with step-by-step work. Find the factors …
Polynomial Calc
Evaluate polynomials at any point, see the degree, and get step-by-step substitution work. Enter coefficients …
Integral Calc
Calculate definite integrals numerically using Simpsons rule with step-by-step formula breakdown. Supports pol…
Limit Calc
Compute limits of functions as x approaches any value. Evaluate left-hand, right-hand, and two-sided limits wi…
Series Sum
Sum mathematical series from any start to end value. Supports expressions with n, exponents, and common mathem…
Taylor Series
Compute Taylor series of common functions like e^x, sin(x), cos(x) around any center point. Adjust the expansi…
Vector Calc
Compute vector operations including addition, subtraction, dot product, cross product, magnitudes, and the ang…
Cross Product
Compute the cross product of two 3D vectors. Shows the resulting vector, magnitude, unit vector, and area of t…
Dot Product
Calculate the dot product of two vectors, the angle between them, and determine if they are orthogonal. Suppor…