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Math Calculators: Algebra, Geometry & Statistics

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Mathematics tools

Choose a calculator for percentages, algebra, geometry, statistics or calculus.

Browse 45 tools grouped by branch. Open a tool to see its method and check the steps behind the answer.

45math tools
6focused groups
Stepsfollow the calculation

Percentages and arithmetic

14 tools

Work with percentages, factors, powers, roots, rounding and number forms.

Calculator with Tapean adding machine that keeps an editable record — fix a typo from ten entries ago and the total updates. Labels, print and CSV. Exponent Calculatorpowers and roots, including fractional and negative exponents. Factor Calculatorall factors of a number, plus whether it is prime. GCF & LCM Calculatorgreatest common factor and lowest common multiple, with the prime factorisation behind each. Logarithm Calculatorlogarithms in any base, plus natural log and the change-of-base relationship. Long Division Calculatorthe full step-by-step working, not only the quotient and remainder. Number Properties Calculatorone number in, everything out — prime factorisation, every divisor, primality, binary and hex, Roman numeral and written word form. Percent Error Calculatorhow far a measured value sits from the accepted one, as a percentage. Percentage Difference Calculatorthe difference between two values relative to their average, which is not the same as percentage change. Percentage Increase Calculatorthe change between two values as a percentage, up or down. Rounding Calculatorround to a decimal place, significant figure or nearest multiple, with the rule applied shown. Scientific Notation Calculatorconverts between standard and scientific notation, and calculates within it. Significant Figures Calculatorcounts significant figures and rounds correctly through a calculation. Square Root Calculatorsquare and nth roots, exact where possible and decimal otherwise.

Algebra

5 tools

Solve equations, inspect graphs, calculate slopes and work with matrices.

Factoring Calculatorfactorises a polynomial expression into its components. Graphing Calculatorplots functions with adjustable range, for seeing what an equation actually does. Matrix Calculatoraddition, multiplication, determinant, inverse and transpose. Slope Calculatorgradient, angle and line equation from two points. System of Equations Calculatorsolves two or three simultaneous linear equations, showing the elimination steps.

Geometry and measurement

5 tools

Find measurements for shapes, triangles, surfaces and coordinate points.

Circle Calculatorradius, diameter, circumference and area from any one of them. Distance Calculatorstraight-line distance between two points in two or three dimensions. Pythagorean Theorem Calculatorthe missing side of a right triangle, either leg or hypotenuse. Surface Area Calculatortotal and lateral surface area for common three-dimensional shapes. Triangle Calculatorsolves any triangle from three known values, using the sine and cosine rules.

Statistics and probability

7 tools

Describe data, estimate uncertainty and evaluate probability.

Confidence Interval Calculatorthe range a population parameter likely falls in, at your chosen confidence level. Odds Calculatorconverts between odds and probability, in both fractional and decimal form. P-Value Calculatorp-value from a test statistic, with a plain explanation of what it does and does not mean. Percentile Calculatorthe value at a given percentile, or the percentile of a given value. Permutation & Combination CalculatornPr and nCr, with the distinction between them explained. Sample Size Calculatorhow many responses you need for a target margin of error. Z-Score Calculatorhow many standard deviations a value sits from the mean, and the percentile it corresponds to.

Calculus and advanced math

4 tools

Explore derivatives, integrals, limits and series with worked steps.

Derivative Calculatordifferentiates an expression and shows which rule was applied at each step. Integral Calculatordefinite and indefinite integrals, with the working. Limit Calculatorevaluates a limit as a variable approaches a value, including at infinity. Summation Calculatorevaluates a sigma notation sum over a defined range.
Using the collection

Choose and check a math tool

1

Identify the operation

Choose the branch that matches your question. A percentage change needs a starting value; a percentage difference compares two values against their average.

2

Check units and definitions

Read which values the tool expects. For statistics, distinguish sample from population; for geometry, keep measurements in matching units.

3

Follow the steps

Compare the formula and intermediate values with your work. Note where rounding or an assumption affects the result.

Frequently asked questions

Quick answers about choosing a method and interpreting a result.

What is the difference between percentage change and percentage difference?

Percentage change measures against a starting value and has a direction — from 100 to 150 is a 50% increase. Percentage difference measures against the average of both values and has no direction — between 100 and 150 it is 40%. Change is right when one value came first; difference is right when comparing two independent measurements. Use Percentage Increase for the first and Percentage Difference for the second — or the Percentage Calculator, which computes both alongside percentage points.

Should I use population or sample standard deviation?

Sample, almost always. Population standard deviation is correct only when your data includes every member of the group you are describing — every employee in a company, every item in a batch. If your numbers are a subset used to infer something about a larger group, use sample, which divides by n−1 to correct for the underestimate a sample produces. The calculator shows both.

What does a p-value actually tell me?

The probability of seeing a result at least this extreme if the null hypothesis were true. What it is not: the probability that your hypothesis is correct, or that the effect is large or important. A p-value below 0.05 means the data would be unusual under the null hypothesis — not that you have found something meaningful. This is the most widely misread number in statistics, which is why the calculator states it explicitly.

Can I use these for homework?

They are built for it — the steps are shown precisely so you can follow the method rather than copy a result. The useful way to use them is to attempt the problem first, then compare your working against the tool's. Where they diverge is exactly where the misunderstanding is, and that is worth more than the correct answer. Copying the output without the working teaches nothing and shows in the next exam.

Are the results exact or rounded?

Exact where exactness is possible — fractions stay as fractions, roots stay as roots — and displayed to a sensible precision otherwise. The Significant Figures Calculator handles precision explicitly if that matters for your work. Calculations run in double-precision floating point, so results are accurate to about fifteen digits, which exceeds any practical requirement outside specialised numerical work.

Is my input stored anywhere?

No. Every calculation runs in your own browser with no server request. Nothing is logged, nothing is saved, and closing the tab discards it. That is also why they respond instantly and work with a poor connection once the page has loaded.

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