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Math Calculators

Free calculators for percentages, fractions, algebra, geometry, and statistics.

Percentage Calculator Calculate percentages instantly. Find X% of a number, what percent X is of Y, an

Fraction Calculator Add, subtract, multiply, and divide fractions. Get results as simplified fractio

Scientific Calculator Online scientific calculator supporting trigonometry, logarithms, square roots,

GPA Calculator Calculate your GPA from letter grades and credit hours. Supports A through F gra

Grade Calculator Find out what score you need on your final exam to achieve your desired course g

Average Calculator Calculate the mean, median, and mode of any set of numbers. Enter comma-separate

Standard Deviation Calculator Calculate population or sample standard deviation and variance for any data set.

Random Number Generator Generate random numbers between any min and max. Choose how many numbers and dec

Square Root Calculator Calculate the square root, cube root, and fourth root of any number. Instantly c

Exponent Calculator Calculate any base raised to any exponent. See results in standard and scientifi

Logarithm Calculator Calculate log base 10, natural log (ln), log base 2, or any custom base logarith

Quadratic Formula Calculator Solve quadratic equations ax²+bx+c=0 using the quadratic formula. Find roots, di

Triangle Calculator Calculate triangle area, perimeter, and all three angles from the three side len

Pythagorean Theorem Calculator Calculate hypotenuse or missing leg using the Pythagorean theorem a²+b²=c². Find

GCD & LCM Calculator Calculate the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of t

Long Division Calculator Perform long division and find the quotient, remainder, and decimal result for a

Mixed Number Calculator Add, subtract, multiply, and divide mixed numbers. Get results as mixed numbers,

Probability Calculator Calculate probability, odds in favor, odds against, and complementary probabilit

Variance Calculator Calculate population variance (σ²) or sample variance (s²) for any data set. Als

Matrix Calculator Calculate the determinant, inverse, and matrix multiplication for 2×2 and 3×3 ma

Slope Calculator Calculate the slope (rise over run), y-intercept, line equation, and distance be

Ratio Calculator Solve proportions (A:B = C:?), simplify ratios to lowest terms, scale recipes, a

Z-Score Calculator Calculate the z-score from a raw score, mean, and standard deviation. Instantly

Circle Calculator Calculate circle area, circumference, and diameter from the radius, diameter, or

Percentage Change Calculator Calculate the percentage change between two values, percent difference, cumulati

Interpolation Calculator Calculate interpolated values between known data points. Supports linear interpo

Combination and Permutation Calculator Calculate combinations (nCr) and permutations (nPr) with or without repetition.

Scientific Notation Calculator Convert numbers to and from scientific notation, engineering notation, and E-not

Modulo Calculator Calculate the modulo (remainder) of any division. Supports negative numbers in b

Weighted Average Calculator Calculate the weighted average of up to 8 values. See total weight, each value's

Midpoint Calculator Find the midpoint between two points in 2D or 3D. Also calculates distance, slop

Moving Average Calculator Calculate Simple Moving Average (SMA), Exponential Moving Average (EMA), and Wei

Chi-Square Calculator Calculate the chi-square statistic for goodness of fit or test of independence.

Margin of Error Calculator Calculate margin of error for surveys and polls. Enter sample size, confidence l

Median Calculator Find the median of a dataset instantly. Also calculates mean, mode, quartiles (Q

Absolute Value Calculator Calculate the absolute value of any number instantly. Find |a − b| distance, bat

Number Base Calculator Perform arithmetic (add, subtract, multiply, divide) in binary, octal, decimal,

Significant Figures Calculator Count significant figures in any number, round to N sig figs, convert to scienti

Cylinder Calculator Calculate cylinder volume, lateral surface area, and total surface area from rad

Sphere Calculator Calculate sphere volume, surface area, diameter, and circumference from radius.

Cone Calculator Calculate cone volume, lateral surface area, total surface area, and slant heigh

Trapezoid Calculator Calculate trapezoid area, perimeter, diagonals, and median. Supports isosceles t

Fibonacci Calculator Find the Nth Fibonacci number, generate sequences, check if a number is Fibonacc

Cross Product Calculator Calculate the cross product (A×B) of two 3D vectors, find the dot product, angle

Speed Distance Time Calculator Solve for speed, distance, or time given the other two values. Works in miles, k

Rectangle Calculator Calculate rectangle area, perimeter, and diagonal from length and width. Solve f

Prism Calculator Calculate prism volume and surface area for rectangular, triangular, and hexagon

Correlation Calculator Calculate Pearson correlation coefficient (r), r², Spearman rank correlation, p-

Regression Calculator Perform simple linear regression to find slope, y-intercept, and equation (y = m

Hexagon Calculator Calculate the area, perimeter, apothem, and diagonal of a regular hexagon from t

Ellipse Calculator Calculate the area, circumference, and eccentricity of an ellipse from semi-majo

Arc Length Calculator Calculate arc length, sector area, and chord length from radius and central angl

Confidence Interval Calculator Calculate confidence intervals for population means (z and t distributions) and

Surface Area Calculator Calculate surface area and lateral area for cubes, rectangular boxes, cylinders,

Derivative Calculator Calculate the derivative of any function at a point using numerical methods. Sup

Integral Calculator Calculate definite integrals of any function using Simpson's rule, trapezoid rul

Limit Calculator Calculate the limit of any function as x approaches a value or infinity. Checks

Partial Derivative Calculator Calculate partial derivatives ∂f/∂x and ∂f/∂y of multivariable functions numeric

Definite Integral Calculator Compute definite integrals using Simpson's rule, trapezoid rule, and adaptive qu

Improper Integral Calculator Evaluate improper integrals with infinite bounds or discontinuous integrands. Ch

Double Integral Calculator Compute double integrals over rectangular regions, polar coordinates, and genera

Triple Integral Calculator Compute triple integrals over rectangular boxes in Cartesian, cylindrical, and s

Taylor Series Calculator Compute Taylor series coefficients and polynomial approximations for any functio

Maclaurin Series Calculator Calculate Maclaurin series partial sums for eˣ, sin(x), cos(x), ln(1+x), 1/(1-x)

Fourier Series Calculator Calculate Fourier series coefficients (a₀, aₙ, bₙ) for square, sawtooth, and tri

Laplace Transform Calculator Look up Laplace transforms of standard functions: 1, t, tⁿ, e^(at), sin(at), cos

Inverse Laplace Transform Calculator Find inverse Laplace transforms using standard tables: L⁻¹{1/s}=u(t), L⁻¹{1/(s−a

Riemann Sum Calculator Calculate Riemann sums using left, right, or midpoint endpoints. Compare with tr

Implicit Differentiation Calculator Calculate dy/dx for implicit equations F(x,y)=0 using numerical partial derivati

Second Derivative Calculator Calculate the second derivative f''(x) numerically using a 5-point stencil. Test

Chain Rule Calculator Calculate the derivative of composite functions g(f(x)) using the chain rule: d/

Arc Length Integral Calculator Calculate the arc length of a curve y=f(x) using L=∫√(1+(f')²)dx (Simpson's rule

Volume of Revolution Calculator Calculate volumes of revolution using disk method (V=π∫f²dx), shell method (V=2π

Tangent Line Calculator Find the tangent line equation y=f(x₀)+f'(x₀)(x−x₀) at any point. Also computes

Expected Value Calculator Calculate expected value EV = Σ(p × v) for 3–5 discrete outcomes. Includes varia

Euler Totient Calculator φ(n) Compute Euler's totient function φ(n): count of integers from 1 to n that are co

Modular Inverse Calculator Find the modular inverse a⁻¹ mod m using the Extended Euclidean Algorithm. Shows

Chinese Remainder Theorem Calculator Solve systems of simultaneous congruences x ≡ a₁ (mod m₁), x ≡ a₂ (mod m₂), … us

Extended Euclidean Algorithm Calculator Compute gcd(a,b) and Bézout coefficients x, y such that a·x + b·y = gcd(a,b). So

RSA Key Calculator Generate RSA public and private keys from primes p and q. Compute n=p×q, φ(n)=(p

Continued Fraction Calculator Convert rational numbers or decimals to continued fraction form [a₀; a₁, a₂, …].

Pascal's Triangle Calculator Compute any row of Pascal's Triangle, find specific binomial coefficients C(n,k)

Catalan Number Calculator Compute Catalan numbers Cₙ = C(2n,n)/(n+1). Explore the sequence 1,1,2,5,14,42,1

Sin Cos Tan Calculator Calculate sin, cos, tan, csc, sec, and cot for any angle in degrees or radians.

Inverse Trig Calculator Find angles from trig values using arcsin, arccos, and arctan. Get principal val

Law of Sines Calculator Solve any triangle using the Law of Sines: a/sin(A) = b/sin(B) = c/sin(C). Cover

Law of Cosines Calculator Solve triangles using the Law of Cosines: c² = a² + b² − 2ab·cos(C). Handles SAS

Unit Circle Calculator Find (cos θ, sin θ) coordinates on the unit circle for any angle. Includes exact

Reference Angle Calculator Find the reference angle (acute angle with x-axis) for any angle in degrees, inc

Coterminal Angle Calculator Find coterminal angles (angles sharing the same terminal side) for any input. Re

Trig Identity Calculator Verify and compute trigonometric identities numerically. Covers all 3 Pythagorea

Arithmetic Sequence Calculator Calculate any term and partial sum of an arithmetic sequence. Find aₙ = a₁ + (n−

Geometric Sequence Calculator Calculate any term and partial sum of a geometric sequence using aₙ = a·rⁿ⁻¹ and

Determinant Calculator Calculate the determinant of 2x2, 3x3, or 4x4 matrices with cofactor expansion s

Matrix Inverse Calculator Find the inverse of 2x2 or 3x3 matrices using adjugate/determinant. Verify A*A-i

Eigenvalue Calculator Find eigenvalues and eigenvectors of 2x2 and 3x3 matrices. Solves det(A-lambda*I

RREF Calculator Compute the Reduced Row Echelon Form of any matrix via Gauss-Jordan elimination.

Vector Projection Calculator Calculate the vector projection proj_b(a) = (a·b/|b|²)·b and scalar projection c

Matrix Multiplication Calculator Multiply matrices A*B for 2x2, 3x3, and non-square (mxp * pxn) cases. Shows step

Gauss-Jordan Calculator Perform Gauss-Jordan elimination on augmented matrices [A|b]. Solve linear syste

Complex Number Calculator Perform complex number arithmetic (add, subtract, multiply, divide). Compute mod

Polar to Rectangular Converter Convert between polar (r, theta) and rectangular (x, y) coordinates. Supports de

Pythagorean Triple Calculator Generate all primitive Pythagorean triples (a,b,c) with a²+b²=c² up to a given h

Summation Calculator Calculate finite sums with sigma notation. Supports Σi, Σi², Σi³, telescoping se

Hash Collision Probability Calculator Calculate the probability of hash collisions using the birthday problem formula.

Big O Notation Calculator Calculate algorithm time and space complexity. Compare O(1), O(log n), O(n), O(n

XOR Calculator Calculate bitwise XOR (exclusive OR) of two numbers. Results in decimal, hex, an

Rounding Calculator Round any number to decimal places, significant figures, or the nearest 5/10/100

Percent Error Calculator Calculate percent error between an experimental measurement and the accepted the

Percent Difference Calculator Calculate percent difference between two values using the symmetric formula (ave

t-Test Calculator Calculate t-statistic, degrees of freedom, and p-value for one-sample, two-sampl

ANOVA Calculator Compute F-statistic, p-value, eta-squared effect size, and Tukey HSD for one-way

F-Test Calculator Compute the F-statistic for testing equality of two variances, ANOVA model fit,

p-Value Calculator Convert any test statistic (z, t, F, or χ²) into a p-value. Supports one-tailed

Bayes' Theorem Calculator Calculate posterior probability using Bayes' theorem. Supports standard form, me

Binomial Distribution Calculator Calculate exact, cumulative, and complementary binomial probabilities. Find P(X=

Poisson Distribution Calculator Calculate Poisson probabilities P(X=k), P(X≤k), and P(X≥k) for any rate λ. Inclu

Normal Distribution Calculator Calculate z-scores, P(X<x), P(X>x), and P(a<X<b) for any normal distribution. In

Range Calculator Calculate statistical range (max − min), compare range vs IQR and standard devia

Interquartile Range (IQR) Calculator Calculate IQR, Q1, Q2 (median), Q3, five-number summary, and detect outliers usi

Coefficient of Variation Calculator Calculate the coefficient of variation (CV = SD / Mean × 100%). Compare variabil

R-Squared Calculator Calculate R² (coefficient of determination) for linear regression. Measures how

Skewness Calculator Calculate the skewness of a dataset to measure distribution asymmetry. Includes

Kurtosis Calculator Calculate kurtosis and excess kurtosis of a dataset. Identifies leptokurtic (fat