Maths calculators
Fractions, statistics, geometry, algebra, calculus and number systems, with the working shown.
- 53 calculators
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Arithmetic
Fractions, ratios, speed and a scientific calculator.
Fraction calculatorAdd, subtract, multiply, divide and simplify fractions, with steps.Open calculator Decimal to fraction converterDecimals, percents and repeating decimals like 0.1(6) to exact fractions and back, with the nearest 1/16 or 1/64 inch, best simple fractions and the steps.Open calculator Ratio calculatorSolve A:B = C:D, simplify, scale, split a total, aspect ratios and recipes.Open calculator Long division calculatorThe full written long division step by step, with remainders, decimals, repeating decimals, short division and polynomials.Open calculator Scientific calculatorTrig, logs, powers, roots, factorials, nCr and nPr, memory and history, with degrees, radians or gradians and answers as fractions.Open calculator Percent error calculatorPercent error, absolute and relative error of a measurement, percent difference vs percent change, and several trials with mean, SD and each trial’s error, with a lab-report line.Open calculator Speed, distance & time calculatorFind speed, distance or time in any units, with running pace, race splits, average speed over legs and arrival time.Open calculator
Statistics
Averages, spread and random numbers.
Average calculatorMean, median, mode and range of a list, weighted averages, averages of percentages and times, moving averages and the number you need next.Open calculator Weighted average calculatorWeighted average of up to 30 values with weights or %, each row's share and the working, plus weighted grades by category, average buy price, weighted standard deviation and the value you need to hit a target.Open calculator Statistics calculatorEverything about a data set in one go: mean, median, mode, quartiles, outliers, SD, skewness, percentiles, z-scores, box plot and histogram, plus correlation and regression for two sets.Open calculator Standard deviation calculatorStandard deviation, variance, mean, median, mode, quartiles, outliers and confidence intervals from a list or a frequency table.Open calculator Z-score calculatorZ-score from a value, value from a z-score, percentiles, the area under the bell curve (left, right, between, outside), p-values and a z-table.Open calculator Percentile calculatorThe value at any percentile of your data (Excel PERCENTILE.INC, EXC and nearest rank side by side), the percentile rank of a value, quartiles, deciles, a full percentile table, grouped data and bell-curve percentiles.Open calculator Sample size calculatorHow many people to survey for your confidence level and margin of error, the margin for a sample you have, means, response rates, design effect and A/B test sample sizes with power.Open calculator Confidence interval calculatorConfidence intervals for a mean (t or z), from a summary or raw data, proportions (Wald, Wilson, exact), two means (Welch) and two proportions, with one-sided bounds and a plain-English reading.Open calculator T-test calculatorWelch, Student’s pooled, paired and one-sample t-tests from raw data or mean, SD and n: t, df, p-value, critical t, confidence interval, Cohen’s d and Hedges’ g, with a plain-English verdict.Open calculator Chi-square test calculatorTest of independence on a contingency table up to 10 × 10, or goodness of fit: expected counts, χ², df, p-value and a plain-English verdict, with Yates, Fisher’s exact test, Cramér’s V, residuals and the critical value.Open calculator Linear regression calculatorLine of best fit ŷ = a + bx with slope, intercept, r and R², a scatter plot and predictions, plus standard errors, p-values, confidence and prediction intervals, residuals, Spearman, through-origin, exponential, log and power fits.Open calculator Random number generatorFair random numbers, no-repeat picks, lottery lines, dice, coin flips, list pickers and team splits.Open calculator Probability calculatorTwo events (and, or, not, neither), repeated tries, Bayes’ theorem, odds, dice, coins and cards, with exact fractions and the working.Open calculator Permutation and combination calculatornPr and nCr with or without repeats, letters of a word like MISSISSIPPI, circular seating, huge factorials, odds and lists, with steps.Open calculator Binomial distribution calculatorP(X = k), at most, at least, fewer and more than k successes in n trials, mean and SD, a bar chart, ranges, the inverse, normal and Poisson approximations and a full table, up to 10,000 trials.Open calculator
Geometry
Triangles, circles, areas and volumes.
Triangle calculatorSolve any triangle from SSS, SAS, ASA, AAS or SSA (both answers when two fit), right triangles by Pythagoras, or three points, with a drawing and the working.Open calculator Pythagorean theorem calculatorSolve a right triangle from any two of the sides, angles, area, perimeter or height, with exact square roots, steps and a drawing, plus box diagonals, the 3-4-5 corner check and triples.Open calculator Distance and midpoint calculatorDistance between two points as an exact root like 5√2 and a decimal, midpoint, slope and a picture, plus 3D, a missing coordinate, the other endpoint, ratio points, line equations and point-to-line distance.Open calculator Trigonometry calculatorsin, cos, tan, csc, sec and cot in degrees, radians, gradians or DMS, with exact √ values, a unit circle, and inverses with every answer in 0–360°.Open calculator Circle calculatorRadius, diameter, circumference and area from any one, in terms of π, plus arc length, sector, chord, segment and ring area, with steps.Open calculator Ellipse calculatorArea, exact perimeter (plus Ramanujan’s approximation), eccentricity and foci from the axes or from area, perimeter or e, with the equation, latus rectum, directrices, a point check, cut-off pieces and string-and-nails layout.Open calculator Regular polygon calculatorArea, perimeter, angles, apothem, circumradius and diagonals of any regular polygon from any one measurement, with a drawing, frame miter cuts, material cost and any shape’s area from corner points.Open calculator Area calculatorArea and perimeter of 15 shapes, from rectangles and triangles to sectors and polygons, in mixed units with a scale drawing and steps.Open calculator Volume calculatorVolume and surface area of 14 shapes in any mix of units, in litres, gallons and cubic units, with weight, a missing-size finder and the working.Open calculator Surface area calculatorTotal, side (lateral) and base area of 12 shapes in mixed units, open or closed, with the volume, a missing-size finder and paint or wrap needed with cost.Open calculator
Algebra & numbers
Equations, factors, powers, logs and rounding.
Quadratic formula calculatorSolve ax² + bx + c = 0 or a typed equation with steps: exact surd and complex roots, discriminant, factoring, vertex, inequalities and a graph.Open calculator Slope calculatorSlope from two points, rise and run, an angle or grade, or an equation: exact fraction, angle, % grade, distance, midpoint, every line form, intercepts and a graph.Open calculator LCM & HCF (GCF) calculatorLCM and HCF (GCF, GCD) of 2 to 100 numbers with prime factor trees, the ladder method, Euclid’s steps, fractions and word problems.Open calculator Modulo calculator (mod)a mod n with the quotient and a = q × n + r, negatives in every convention (maths, Python, JavaScript/C), exact decimals and huge numbers, power mod, inverse mod, congruences and a clock picture.Open calculator Exponent calculatorPowers with negative and fractional exponents, exact huge numbers, find the exponent or base, nth roots as surds, logs and antilogs in any base, with steps.Open calculator Logarithm Calculator (log, ln, any base)log, ln and log₂ in any base to 30 decimal places, exact answers like log₄ 2 = 1/2, solve for x or the base, a·bˣ = c equations, log rules and pH, dB and Richter.Open calculator Exponential growth and decay calculatorx(t) = x₀(1 + r)^t for growth or decay: final value, start, rate or time, doubling time or half-life beside the rule of 70, continuous e^(kt), rate from two points, a chart and table.Open calculator Sig figs & rounding calculatorCount significant figures digit by digit, round to sig figs, decimal places or the nearest 10, 0.5 or any step with 10 rounding methods, and do sig fig maths on a typed sum.Open calculator Graphing calculatorPlot up to 6 graphs with pan and zoom, trace, roots, turning points and intersections, plus parametric, polar, inequalities, sliders and a table.Open calculator Matrix calculatorDeterminant, inverse, A × B, RREF, rank, powers, systems of equations, eigenvalues and LU up to 6 × 6, in exact fractions with every step.Open calculator Complex number calculatorAdd, subtract, multiply and divide complex numbers typed as 3 + 4i, 2∠30° or 2e^(iπ/6), in rectangular, polar and exponential form with steps, plus roots, powers, ln and an Argand diagram.Open calculator Sequence calculator (arithmetic & geometric)Type a few terms to spot arithmetic, geometric, quadratic or Fibonacci-like patterns: nth-term formula, any term, sums, sum to infinity, missing terms and exact fractions.Open calculator
Calculus
Derivatives, integrals and limits with the working shown.
Derivative calculatorFirst, second or nth derivatives and partial derivatives with every rule shown, the slope at a point, the tangent line and a graph of f and f′.Open calculator Integral calculatorIndefinite and definite integrals with steps (substitution, by parts, partial fractions), improper integrals to ∞, area under the curve and a numeric answer when there is no formula.Open calculator Limit calculatorLimits as x → a, ∞ or from one side, with L’Hôpital steps, a table of values from both sides, a graph and whether the limit exists.Open calculator
Numbers
Prime factors, Roman numerals, binary and hex.
Roman numeral converterNumbers to Roman numerals and back, with the reason when a numeral is wrong, dates for tattoos, big numbers with a line over and Roman sums.Open calculator Binary & hex converterBinary, octal, decimal and hex (or any base 2–36) both ways with steps, fractions, two’s complement, bitwise maths, text to binary and a clickable bit grid.Open calculator Factorial calculatorExact n! with every digit up to 50,000!, digits and trailing zeros, double factorial n!!, gamma for decimals, subfactorial !n, Stirling and the reverse, with steps.Open calculator Scientific notation calculatorAny number to scientific, E and engineering notation (with SI prefixes) and back, + − × ÷, powers and roots in scientific notation with steps, sig figs and exact huge or tiny numbers.Open calculator Prime factorization calculatorPrime factors with powers, a drawn factor tree and the ladder, prime check, every factor and factor pair, simplified roots, primes near and between, and huge numbers.Open calculator Square root calculatorSquare, cube and any nth root of whole numbers, decimals, fractions and negatives: simplified radical form (√72 = 6√2) with steps, exact decimals to 1,000 places, complex roots, Newton and long-division methods.Open calculator
About the Maths calculators
Maths calculators that show the working, not just the answer: fractions, ratios and long division step by step; statistics from averages and standard deviation to t-tests, chi-square and regression; geometry for triangles, circles and solids; and algebra from the quadratic formula to matrices and complex numbers.
Calculus tools find derivatives, integrals and limits, and the graphing calculator plots your functions. Physics and chemistry tools are in the Science section.
They are handy for checking homework and exam practice: work the problem through yourself first, then compare each step.