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Home/Maths & statistics

LEARNING & SCIENCE

Maths and statistics calculators

Percentage, fraction and circle area calculators: work with numbers, compare changes and calculate geometry with metric or customary measurements.

66 tools to exploreCHOOSE YOUR STARTING POINT

Percentage calculatorPercentage calculator: find a percentage of a number, what percentage one number is of another, and the percentage increase or decrease between two values.Percentage increase calculatorWork out a value after a percentage increase: the new amount, the rise in numbers and the multiplier you can reuse for any starting value.Fraction calculatorFraction calculator: add, subtract, multiply and divide fractions, with the answer in its simplest form, as a mixed number and as a decimal.Percentage difference calculatorCompare two values with their average: the percentage difference, the gap in numbers and the mean, whichever order you enter the two values in.Percentage change calculatorFind the percentage change between two values, up or down, with the size of the change and the multiplier, using the original value as the base.Ratio calculatorSimplify a ratio to its lowest terms, split an amount in a given ratio, or find the missing term, with the value of one part shown for each answer.Square meter calculatorWork out the area of a floor, wall or plot in square metres from its length and width, and price it per square metre if you need a cost.Average calculatorAdd up a list of numbers and divide by how many there are, with the median, range and standard deviation of the same list alongside.Percentage decrease calculatorWork out a value after a percentage decrease, see how much was taken off, and get the multiplier that turns the old value into the new one.Volume calculatorFind the volume and surface area of a box, cylinder, sphere, cone or square-based pyramid, in cubic metres, litres and your own unit.Integral calculatorIntegrate a polynomial: the antiderivative with + C, the definite integral between two limits, and the average value over that range.Triangle calculatorFind the area of a triangle from a base and height or from all three sides, with the perimeter and a description of the triangle.Graphing calculatorPlot any function of x, with where it crosses the axes, its turning points and its value at a point you choose, plus a table of the numbers.Discount calculatorWork out a sale price after one or two percentage discounts, add sales tax or VAT if it applies, and see the saving and the true overall discount.Differentiation calculatorDifferentiate a polynomial and read the gradient at a chosen point, with the second derivative and both curves drawn on the same axes.Right angle triangle calculatorFind the missing side of a right-angled triangle with Pythagoras, plus the area, perimeter and both acute angles in degrees.Standard deviation calculatorMeasure how far the numbers in a list sit from their mean, with the sample and population standard deviation both shown.Trig calculatorFind sin, cos and tan for an angle in degrees or radians, or work back from a ratio to the angle, with both angle units shown.Circumference calculatorFind the circumference of a circle from its radius, diameter or circumference itself, with the radius, diameter and area alongside.Factorise calculatorFactorise a quadratic into two brackets the UK way, with any common factor taken out first and the values that make it zero listed.Area calculator for a circleFind the area of a circle from its radius, diameter or circumference, in square metres and in millimetres, inches, feet or yards.Calculator of volume of cylinderWork out the volume of a cylinder in cubic metres, litres and your own unit from its radius and height, with the surface area too.Calculator for medianFind the middle value of a list, averaging the two middle numbers when the count is even, with the mean and range shown too.Angle calculatorConvert an angle between degrees, radians and gradians, and see its complement and supplement worked out in degrees.Matrix calculatorFind the determinant, inverse, transpose and trace of a 2 × 2 matrix, or multiply two matrices together, with a check of the work.Pi calculatorRead pi to up to fifteen decimal places, with two pi, half pi, pi squared and the square root of pi for the formulas that use them.Square root calculatorFind the square root of a number, check whether it is a perfect square, and get the simplified surd form for whole numbers.Standard form calculatorWrite any number as a value between 1 and 10 times a power of ten, the standard form taught in UK schools for GCSE maths.Weighted average calculatorAverage values that count for different amounts, such as marks with different credit, and compare the result with the plain average.Difference calculatorFind the gap between two numbers, which one is larger, and the gap as a share of the larger number, with the ratio between the two values.Binary calculatorConvert binary digits to decimal, octal and hexadecimal, and see each place value that makes up the number you typed.Binomial distribution calculatorFind the chance of exactly, at most or at least k successes in n trials, with the cumulative probabilities, mean, variance and spread.Mod on a calculatorFind the remainder after dividing one whole number by another, with the number of whole groups and a check of the arithmetic.Probability calculatorFind the probability of an event from a count of outcomes, or combine two independent or mutually exclusive events, with the odds.Sample size calculatorWork out how many survey responses you need for a chosen margin of error and confidence level, with a correction for small populations.Scale calculatorConvert map, plan and model measurements to real size and back at any scale, in metric or imperial units, with the answer also given in metres.Calculus calculatorDifferentiate and integrate a polynomial in one place: derivative, second derivative, antiderivative, definite integral and stationary points.Linear equation calculator with solutionSolve a linear equation for x and see every step, including the rearrangement, the division and the check that both sides agree.Long division calculatorDivide one whole number by another and see the long division written out digit by digit, with the quotient, remainder and a check.Lcm calculatorFind the lowest common multiple of two or more whole numbers, with the highest common factor of the same list alongside.Simultaneous equations calculatorSolve two linear equations for x and y, with the determinant that shows whether the pair has one answer, none, or infinitely many.Triangle angle calculatorFind the missing angle of a triangle from the other two, or work out all three angles from the sides with the cosine rule.Dilution equation calculatorWork out how much stock to measure out for a target concentration, or the concentration you end up with, using C1V1 = C2V2.Log calculatorFind a logarithm in any base, with the natural log and log base 10 alongside and a check that raises the base to the answer.Normal distribution calculatorFind the chance of a value below, above or between two points on a normal curve, with the z score, percentile and the curve drawn.T test calculatorTest a sample mean against a claimed value, or compare two means, with the t statistic, degrees of freedom and two-tailed p value.Highest common factor calculatorFind the highest common factor of a list of whole numbers, the largest number that divides into every one of them exactly in the UK.Hex calculatorConvert hexadecimal digits to decimal, binary and octal, with the byte value that two hex digits describe and the colour code they form.Solving quadratics calculatorSolve ax² + bx + c = 0 with the quadratic formula, and see the discriminant, the vertex and the factorised form at the same time.Surface area calculatorWork out the total and curved surface area of a box, cylinder, sphere or cone in square metres, and in the unit you measured in.Binomial expansion calculatorExpand a bracket raised to a power with the binomial theorem, showing the coefficients, the Pascal row and the constant term.Differential equation solution calculatorSolve exponential growth, Newton's cooling or logistic growth, with the closed-form solution and a numerical run that confirms it.Nth term calculatorFind the rule for the nth term of an arithmetic or geometric sequence from its terms, with the next term and the sum of the series.Rounding calculatorRound any number to decimal places, the nearest whole number, ten, hundred or thousand, and see how much the answer changed.Significant figures calculatorRound a number to a chosen number of significant figures, count how many it already has, and read the answer in standard form.Sum calculatorAdd a list of numbers pasted from a spreadsheet or typed with commas, and see the total, how many numbers were read, the mean and the range.Golden ratio calculatorFind the longer part that pairs with a length in the golden ratio, or check whether two lengths are within a hundredth of 1.618034.Indices calculatorWork out a base raised to an index, including negative indices that give a fraction, using the UK name for a power.Proportion calculatorSolve a proportion by cross multiplication: find the missing term in A : B = C : ?, with the scale factor and cross product shown alongside.Range calculatorSubtract the smallest value from the largest to get the range of a list, with the mean, median and standard deviation alongside.Roman numerals calculatorConvert a number from 1 to 3999 into Roman numerals, or read Roman numerals back into a number, using the standard spellings.Statistical significance calculatorCompare two conversion rates with a two-proportion z test: the p value, the confidence interval for the gap and a plain-language verdict.Scientific notation calculatorWrite any number as a coefficient between 1 and 10 times a power of ten, the scientific notation taught in US maths lessons.Greatest common factor calculatorFind the greatest common factor of a list of whole numbers, the largest number that divides evenly into each one in US maths.Exponents calculatorWork out a base raised to an exponent, including negative exponents that give a fraction, using the US name for a power.Factoring calculatorFactor a quadratic into two binomials the US way, with the greatest common factor taken out first and the values that make it zero listed.

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