Mathematics Calculators
87 tools, each with formula and worked examples
Algebra, geometry, statistics, and number theory tools.
Geometry · 5
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Area & Perimeter
Calculate area and perimeter for seven shapes: circle, rectangle, square, triangle, trapezoid, parallelogram, …
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Circle Calculator
Find radius, diameter, circumference, and area from any single known circle measurement. Shows reverse enginee…
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Right Triangle
Solve right triangles using the Pythagorean theorem and SOH CAH TOA trigonometry. Find sides, angles, area, an…
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Triangle Solver
Solve any triangle using SSS, SAS, or ASA input modes. Computes all sides, angles, area, and perimeter with dy…
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Volume & Surface Area
Calculate volume and surface area of spheres, cubes, rectangular prisms, cylinders, cones, and pyramids. Free,…
Statistics · 14
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Average Calculator
Find mean, median, min, max, and sum from any data set. Smart parser strips dollar signs, commas, and percent …
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Confidence Interval
Calculate confidence intervals for a population mean. Breaks out the Margin of Error (MOE), critical Z-value, …
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Mean Median Mode
Calculate the mean, median, mode, sum, and range from any data set with step-by-step median breakdown for even…
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P-value Calculator
Compute p-values from Z-scores or T-scores for one-tailed and two-tailed hypothesis tests. Free online calcula…
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Percent Error
Calculate percent error, absolute error, signed error, accuracy, and relative error between accepted and exper…
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Permutations & Combos
Calculate permutations (nPr) and combinations (nCr) with step-by-step factorial breakdown. Toggle between orde…
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Probability
Compute joint (A∩B), union (A∪B), conditional P(A|B), and complement probabilities for independent or mutually…
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Random Numbers
Generate cryptographically secure random numbers using Web Crypto API. Customizable range, count, decimal prec…
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Sample Size
Determine the ideal sample size for surveys and research studies. Adjust for population size, confidence level…
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Standard Deviation
Compute standard deviation, variance, mean, median, range, and coefficient of variation from any dataset. Free…
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Statistics
Comprehensive descriptive statistics calculator with a dynamic box-and-whisker plot. Computes the five-number …
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Z-Score Calculator
Calculate a Z-score from a raw score, mean and standard deviation, shown on a standard normal curve with the s…
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Correlation
Calculate the Pearson correlation coefficient between two variables. Shows r, r², strength, and direction with…
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Descriptive Stats
Compute key descriptive statistics for any dataset: mean, median, mode, range, variance, standard deviation, q…
General · 23
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Basic Calc
A full-featured basic calculator with number pad, history tape, and order-of-operations support. Perfect for q…
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Conversion
Convert between hundreds of units across 8 categories including weight, length, temperature, volume, area, spe…
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Date Calculator
Add or subtract years, months, weeks, and days from any date. Includes a business-days-only mode that skips we…
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GDP Calculator
Calculate Nominal and Real GDP using the expenditure approach: GDP = C + I + G + (X − M). Free online calculat…
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GPA Calculator
Compute weighted and unweighted GPA from course grades and credits. Target GPA mode shows the exact grades nee…
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Final Grade
Determine what score you need on your final exam to achieve your target overall grade. Supports any current gr…
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Scientific Calc
Full-featured online scientific calculator with trigonometric functions, logarithms, memory operations, and ca…
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Sci Notation
Convert between decimal and scientific notation. Learn how the decimal point jumps left or right with an inter…
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Time Calculator
Add and subtract hours, minutes, seconds and days. Get the total as h:mm:ss, decimal hours and minutes, or the…
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Time Card Calculator
Time card and time clock calculator: clock in/out, breaks, overnight shifts, rounding to 5-15 minutes, decimal…
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Time Zone Calculator
Convert time across 24 world time zones with a color-coded business-hours grid that shows the best meeting tim…
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Time Duration Calculator
Find the hours between two times or dates: elapsed time as h:mm:ss, decimal hours, minutes and days, with over…
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Day Counter
Count the exact days between two dates, with business-day exclusion, an end-date inclusion toggle and week/mon…
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Day of Week
Find the day of the week for any date using Zeller's congruence. Features a perpetual calendar algorithm expla…
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pH Calculator
Calculate pH from hydrogen ion concentration, convert between pH and pOH, and classify solutions as acidic, ba…
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Base Converter
Convert numbers between any two bases from binary (base 2) to base 36. Supports hexadecimal, octal, binary, an…
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Trig Calculator
Calculate sine, cosine, tangent and their reciprocals for any angle. Also find angles from trig values with re…
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Unit Circle
Explore the unit circle by entering any angle. See coordinates, trigonometric values, reference angles, and th…
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Law of Sines
Apply the law of sines to solve triangles. Enter known side-angle pairs to find missing sides, angles, and the…
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Law of Cosines
Solve triangles using the law of cosines. Find missing sides (SSS) or angles (SAS) with step-by-step work. Fre…
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Inverse Trig
Compute inverse trigonometric functions: arcsin, arccos, and arctan. Get results in degrees and radians with t…
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Proportion Solver
Solve proportion equations a/b = c/d for any missing value. Enter three known values and find the fourth using…
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Test Score
Calculate what grade you need on your final exam to achieve your target overall grade. Handles weighted gradin…
Number Theory · 17
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Big Integer Calculator
Big integer calculator with exact BigInt math: add, multiply, power, modular exponentiation, GCD, LCM, factori…
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Binary & Hex
Convert between Decimal, Binary, Hex, and Octal with positional value breakdown. Perform arithmetic and bitwis…
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Common Factors
Find all common factors shared by two numbers. Lists every divisor that divides both numbers evenly, with the …
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Factor Calculator
Find all factors of any positive integer with a complete factor pairs table, total factor count, sum of factor…
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Fraction Calculator
Free fraction calculator with steps. Type 1 1/2 x 3, 3/4 divided by 2 or 2.8 and get the simplified, mixed-num…
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Fraction Converter
Convert fractions to decimals, decimals to fractions, and mixed numbers to decimals. Automatically simplifies …
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Greatest Common Factor
Find the Greatest Common Factor (also called GCD or HCF) of two numbers using both the Euclidean algorithm wit…
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LCM Calculator
Find the LCM of numbers or fractions, worked out step by step: listing multiples, prime factorization and the …
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Long Division
Perform long division with the traditional tableau format. Shows each step — divide, multiply, subtract, bring…
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Number Sequences
Identify arithmetic, geometric, and Fibonacci sequences. Find common difference, common ratio, nth-term formul…
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Prime Factors
Break any integer into its unique prime factors with an interactive factor tree. Detects perfect squares, cube…
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Rounding Calculator
Round any number to the nearest 10, 100, 1000, 5, decimal place or significant figure. See which digit decides…
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Roman Numerals
Convert numbers to Roman numerals and back, including date conversion. Features subtractive notation breakdown…
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Prime Checker
Check if any number is prime using trial division. Find its prime factorization, count all divisors, and see s…
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Factorial Calculator
Calculate the factorial of any number from 0 to 170. Shows the step-by-step multiplication, digit count, and t…
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Fibonacci Calculator
Calculate the nth Fibonacci number, view the full sequence, and get the sum. Uses iteration and the Binet form…
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Common Denominator
Find the least common denominator (LCD) for fractions. Convert each to equivalent form using LCM step-by-step …
Algebra · 28
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Distance Calculator
Calculate the Euclidean distance between two points in 1D, 2D, or 3D space. Shows the distance formula, step-b…
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Exponent Calculator
Raise any base to any power, including negative, fractional and decimal exponents, with expanded form, scienti…
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Half-Life Calculator
Calculate radioactive decay, carbon dating, and drug elimination using the exponential decay formula. Free, in…
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Height Predictor
Predict a child's adult height with the Mid-Parental (Tanner) method, with the 13 cm gender adjustment, a ±8.5…
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Log Calculator
Calculate logarithms in any custom base with the change of base formula explained step-by-step. Free, instant,…
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Matrix Calculator
Calculate the determinant and inverse of square matrices from 2×2 to 5×5. Shows step-by-step calculation with …
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Root Calculator
Calculate any nth root — square roots, cube roots, and beyond. Shows both radical form and fractional exponent…
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Quadratic Solver
Solve any quadratic ax²+bx+c=0 with the quadratic formula. Get real or complex roots, discriminant, vertex, ax…
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Ratio Calculator
Simplify ratios, find missing values in proportions and scale dimensions, with common aspect ratio presets (16…
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Slope Calculator
Calculate slope between two points with all three equation forms, distance, midpoint, and angle. Includes simp…
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Density Calculator
Solve density, mass or volume with ρ = m/V and the formula triangle, with unit conversion and a common-materia…
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Mass Calculator
Calculate mass, density, or volume using m = ρ × V. Shows planetary weight comparison on Earth, Moon, Mars, an…
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Weight Calculator
Calculate weight, mass, or gravitational acceleration using the W = mg formula. Compare weight across Earth, M…
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Speed Calculator
Calculate speed, distance, or time using S = D/T. Converts between mph, km/h, m/s, and knots with simultaneous…
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Molarity Calculator
Calculate molarity, mass, or volume of chemical solutions. Auto-detects compounds and shows step-by-step deriv…
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Mol Weight
Calculate molecular weight from any chemical formula with element breakdown and mass percentage composition. S…
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Equation Solver
Solve linear (ax + b = 0) and quadratic (ax² + bx + c = 0) equations instantly. Shows discriminant, roots, and…
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System Solver
Solve systems of two linear equations using the Cramer Rule determinant method. Get step-by-step solutions for…
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Derivative Calc
Compute derivatives of polynomial expressions using the power rule. Get step-by-step differentiation and evalu…
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Factoring Calc
Factor quadratic polynomials (ax² + bx + c) into their factored form with step-by-step work. Find the factors …
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Polynomial Calc
Evaluate polynomials at any point, see the degree, and get step-by-step substitution work. Enter coefficients …
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Integral Calc
Calculate definite integrals numerically using Simpsons rule with step-by-step formula breakdown. Supports pol…
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Limit Calc
Compute limits of functions as x approaches any value. Evaluate left-hand, right-hand, and two-sided limits wi…
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Series Sum
Sum mathematical series from any start to end value. Supports expressions with n, exponents, and common mathem…
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Taylor Series
Compute Taylor series of common functions like e^x, sin(x), cos(x) around any center point. Adjust the expansi…
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Vector Calc
Compute vector operations including addition, subtraction, dot product, cross product, magnitudes, and the ang…
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Cross Product
Compute the cross product of two 3D vectors. Shows the resulting vector, magnitude, unit vector, and area of t…
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Dot Product
Calculate the dot product of two vectors, the angle between them, and determine if they are orthogonal. Suppor…