40 Calculators • Formula on Every Page • Reviewed September 2026

Math Calculators — Statistics, Geometry, Algebra & More

Free calculators for statistics and probability, geometry and trigonometry, algebra, percentages and number conversions — 40 tools that show the formula they use, run in your browser and need no signup.

New to percentages or triangles? Start with the percentage guide or how to find triangle angles.

Inputs stay in your browserCalculations run on your device
Standard formulasTextbook definitions, shown on each page
Worked examplesCheck the method, not just the answer
Print & embed readyFree embeds for classrooms and blogs

Most-Used Calculators

The three groups people use most — percentages, triangles and statistics.

Percentages

Percentage Calculator

Percent of a number, what percent one number is of another, and percent change.

15% of 80
12
12 is what % of 80?
15%
Change from 50 to 65
+30%
Open Percentage Calculator
Geometry

Triangle Calculator

Missing sides, angles and area of any triangle from three known values.

Right triangle, legs 3 and 4
Hypotenuse 5
Area (½ × 3 × 4)
6
Law of cosines
c² = a² + b² − 2ab·cos C
Open Triangle Calculator
Statistics

Z-Score Calculator

How many standard deviations a value is from the mean, and its percentile.

z = (x − μ) ÷ σ
 
x = 85, μ = 70, σ = 10
z = 1.5
Percentile (normal distribution)
≈ 93.3%
Open Z-Score Calculator

All Math Calculators

40 calculators grouped by topic. Each tag shows the formula or method the calculator uses.

Statistics, Variance & Probability

9 tools
z = (x − μ) / σStandard score
Z-Score CalculatorZ-score, percentile and tail areas from a mean and SD, a raw data set, or a percentile.Open calculator
σ, s and varianceSpread
Standard Deviation CalculatorSample or population SD, variance, sum of squares, CV and a 95% CI for the mean, with steps.Open calculator
x̄ = Σx / nCentral tendency
Mean, Median & Mode CalculatorMean, median, every mode, geometric and harmonic means, trimmed mean, range and skewness.Open calculator
Σ(w·x) / ΣwWeighted mean
Weighted Average CalculatorWeighted average from values and weights, with weight shares and the impact vs a simple average.Open calculator
IQR = Q3 − Q1Distribution
Quartile & IQR CalculatorQ1, median, Q3, IQR and Tukey outlier fences, with a box plot and four quartile methods compared.Open calculator
P(A and B) · P(A or B)Events
Probability CalculatorTwo or three events, Bayes' theorem and odds conversion, with a Venn diagram and steps.Open calculator
C(n,k)·pᵏ·(1−p)ⁿ⁻ᵏDiscrete distribution
Binomial Probability CalculatorExact P(X = k) and cumulative tails for n up to 1,000, with mean, variance and a histogram.Open calculator
nPr · nCrCounting
Permutation & Combination CalculatorExact nPr and nCr, with or without repetition, for n up to 1,000, with factorial steps.Open calculator
|E − T| / |T| × 100Measurement
Percent Error CalculatorPercent error, percent difference and a tolerance check, with the direction of the bias.Open calculator

Geometry, Trigonometry & Vectors

9 tools
Law of sines & cosinesAny triangle
Triangle CalculatorSolve SSS, SAS, ASA, AAS and ambiguous SSA triangles: sides, angles, area, inradius and circumradius.Open calculator
a² + b² = c²Right triangles
Pythagorean Theorem CalculatorHypotenuse, missing leg, 3D distance and a Pythagorean triple checker, with exact radicals.Open calculator
sin · cos · tanTrig functions
Trigonometry CalculatorAll six trig functions with exact values, inverse and hyperbolic functions, the unit circle and a right-triangle solver.Open calculator
A = πr² · C = 2πrCircles
Circle CalculatorRadius, diameter, circumference and area from any one value, plus sector, segment and ring.Open calculator
Rectangle · circle · triangle2D shapes
Area CalculatorArea and perimeter of 11 shapes, from rectangles to coordinate polygons, with unit conversion.Open calculator
Box · cylinder · sphere · cone3D shapes
Volume CalculatorVolume and surface area of 12 solids, with litre, gallon and barrel conversion.Open calculator
m = Δy / ΔxLines
Slope CalculatorSlope from two points, a point and slope, an angle or Ax + By = C, with grade, angle, pitch and line equations.Open calculator
√(Δx² + Δy² + Δz²)Coordinates
3D Distance CalculatorDistance between two points, point to plane, vector length and bounding box, with midpoint and exact radicals.Open calculator
u · v · u × vVectors
Vector CalculatorDot and cross products, angle, magnitude, unit vector and projection in 2D or 3D, with determinant working.Open calculator

Algebra, Polynomials & Functions

12 tools
x = (−b ± √Δ) / 2aEquations
Quadratic Formula CalculatorBoth roots of any quadratic equation, real or complex.Open calculator
P(x) ÷ Q(x) · rootsPolynomials
Polynomial CalculatorDivide with synthetic division, find real and complex roots and the factored form, add/subtract/multiply, or evaluate with Horner's method.Open calculator
bⁿPowers
Exponent CalculatorAny base raised to any power, including negative and fractional exponents.Open calculator
log_b(x) = ln x / ln bLogarithms
Log CalculatorLogarithm of a number in any base, including natural log and log base 10.Open calculator
n! = n × (n − 1) × … × 1Factorials
Factorial CalculatorFactorial of a non-negative integer, with exact results for large numbers.Open calculator
a/b ± c/dFractions
Fraction CalculatorAdd, subtract, multiply or divide fractions, simplified and as a decimal.Open calculator
Euclidean algorithmDivisibility
GCD & LCM CalculatorGreatest common divisor and least common multiple of two numbers.Open calculator
det = ad − bcMatrices
Matrix Calculator (2×2)Determinant, inverse, trace and eigenvalues of a 2×2 matrix, multiply two matrices, or solve Ax = b with Cramer's rule.Open calculator
aₙ = a₁ + (n − 1)dSequences
Sequence Calculatornth term and sum of an arithmetic or geometric sequence, exact Fibonacci/Lucas numbers, or a custom recurrence.Open calculator
a + biComplex numbers
Complex Number CalculatorAdd, subtract, multiply and divide complex numbers, find modulus, argument and polar form, or compute powers and roots with De Moivre's theorem.Open calculator
a mod nRemainders
Modulo CalculatorRemainder of a division with correct sign handling, a congruence check, a modular inverse, or fast modular exponentiation.Open calculator
Prime factorizationPrimes
Prime Number CheckerDeterministic primality test and factorization, a prime sieve over a range, or a Mersenne 2^p−1 Lucas–Lehmer test.Open calculator

Percentages & Ratios

2 tools

Number Systems & Everyday Tools

8 tools
Base 2Binary
Binary CalculatorBinary arithmetic, bitwise logic (AND/OR/XOR/NOT), bit shifts and rotates, or two's complement conversion, at 8–64-bit width.Open calculator
Base 2 – 36Number bases
Number Base ConverterConvert whole or fractional numbers between any two bases from 2 to 36, with a binary/octal/decimal/hex quick reference.Open calculator
a × 10ⁿNotation
Scientific Notation CalculatorConvert a decimal to scientific, engineering, e-notation and SI-prefix form, convert back, or multiply/divide in scientific notation.Open calculator
Sig-fig rulesPrecision
Significant Figures CalculatorCount and classify significant figures, round with half-to-even rounding, or apply the sig-fig rules to addition and multiplication.Open calculator
Uniform integerRandom
Random Number GeneratorCryptographically secure random integers, decimals or Gaussian values, or a reproducible seeded sequence.Open calculator
Number → wordsWriting numbers
Number to Words CalculatorSpell out a number as cardinal or ordinal words, a currency amount, or a legal check line, short or long scale.Open calculator
+ − × ÷Arithmetic
Basic CalculatorAn interactive four-function calculator with chained operations, percentages, square roots, memory and a history tape.Open calculator
Trig · logs · powersExpressions
Scientific CalculatorType a full expression with trig functions, logarithms, powers and roots, evaluated with correct PEMDAS order of operations.Open calculator

Which Calculator Should You Use?

Match what you're trying to work out to a starting calculator and the one to use next.

You Want To…Start WithThen UseWhy
Summarize a set of numbersMean, Median & ModeStandard DeviationFind the center of the data first, then how spread out it is.
Compare a score with the averageStandard DeviationZ-ScoreA z-score needs the mean and standard deviation of the group.
Solve a right trianglePythagorean TheoremTrigonometryGet the missing side, then the angles from sine, cosine or tangent.
Solve an equationQuadratic FormulaPolynomialFind the roots, or expand and combine the expressions first.
Count possible outcomesPermutation & CombinationBinomial ProbabilityCount the arrangements, then the chance of a given number of successes.
Check a lab measurementPercent ErrorSignificant FiguresCompare with the accepted value, then report to the right precision.
How These Calculators Are Built

Methodology & Accuracy

SH
Suhaib HassanAuthor & calculator developer

Builds and maintains every CalculatePilot calculator, checking each formula and worked example by hand and re-verifying pages on a regular schedule.

Our methodologyFormula-first, example-checked

Calculations use standard double-precision (IEEE 754) arithmetic — about 15–17 significant digits — and results are rounded for display. Each page states its formula and any limits, such as sample versus population statistics.

Standard textbook definitionsNIST/SEMATECH e-Handbook of Statistical Methods (terminology)IEEE 754 floating-point arithmeticLaw of sines & cosinesEuclidean algorithmBinomial distribution
How to cite this page

CalculatePilot. (2026). Math calculators [Web application]. https://www.calculatepilot.com/math-calculators.html

Frequently asked questions

What's the difference between sample and population standard deviation?

Population standard deviation divides the squared deviations by N, the number of values, and is used when you have every member of the group. Sample standard deviation divides by n − 1 (Bessel's correction), which gives a better estimate of the population's spread when your data is only a sample.

What's the difference between a permutation and a combination?

In a permutation the order matters, so ABC and CBA count as different arrangements. In a combination the order doesn't matter, so they count as the same selection. For the same n and r there are always at least as many permutations as combinations: nPr = nCr × r!.

Why do some results show tiny rounding differences?

Computers store most decimals in binary floating point (IEEE 754 double precision), which can't represent numbers like 0.1 exactly — for example 0.1 + 0.2 is stored as 0.30000000000000004. Results are rounded for display, so these tiny differences rarely matter, but for exact work use fractions or the precision your course requires.

Do these calculators store the numbers I enter?

No. The calculations run in your browser and the numbers you enter aren't sent to or stored on our servers. Like most websites, the site itself uses analytics and advertising cookies — see our privacy policy for details.

Can I use these calculators for homework?

Yes — they're a good way to check your answers. Each page shows the formula, so you can follow the method, but follow your teacher's rules on rounding, significant figures and showing your working.

Embed a Math Calculator

Add a free, responsive calculator to your class site or blog.

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