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Mathematics

Work with fractions, equations and geometric shapes. Follow the examples and check the assumptions behind each result.

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38 calculators

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38 calculators available.

MathematicsFraction calculatorAdd, subtract, multiply or divide two fractions. The simplified result remains exact even with large numerators.

MathematicsGCD, LCM and prime factorsFind the greatest common divisor, least common multiple and prime factors of up to twelve whole numbers.

MathematicsRegular polygon calculatorCalculate area, perimeter, interior angles, inradius and circumradius from the number of sides and side length of a regular polygon.

MathematicsPolygon area from coordinatesEnter the vertices in order around the boundary to calculate the area, perimeter and centroid of a simple polygon.

MathematicsLinear interpolationFind an intermediate value from two known points. Outside their range, the calculator identifies the result as extrapolation.

MathematicsQuadratic equation solverSolve a·x² + b·x + c = 0. Real or complex roots, the discriminant and the vertex are shown separately.

MathematicsCubic equation solverCalculate the real and complex roots of a·x³ + b·x² + c·x + d = 0 and the coefficients of the depressed cubic.

MathematicsTriangle from three sidesFind the area, perimeter, angles, inradius and circumradius from three sides. The calculator checks the triangle inequality.

MathematicsCircle, sector and segmentCalculate circle area and circumference, plus the arc, chord and segment for your chosen central angle.

MathematicsCylinder calculatorCalculate the volume, lateral area, closed surface area and axial section of a right circular cylinder.

MathematicsCone and conical frustumCalculate volume, slant height and surface area. An upper radius of zero gives a complete cone.

MathematicsSphere calculatorFind the volume, surface area, diameter and great-circle area of a sphere from its radius.

MathematicsRectangular pyramid calculatorCalculate volume, lateral area, total surface area and slant heights of a right pyramid with a rectangular base.

MathematicsSquare pyramid frustumCalculate the volume, lateral area and total surface area between two aligned, parallel square bases.

MathematicsPythagorean theorem calculatorCalculate the hypotenuse from two legs, or find a missing leg from the hypotenuse and the known leg.

MathematicsLinear equation system solverSolve two or three equations together. The calculator distinguishes a unique solution, contradictions and free variables.

MathematicsExponential and logarithmic equationsSolve b^(a·x+c)=d or log_b(a·x+c)=d using your coefficients, with checks on the domain conditions.

MathematicsArithmetic and geometric sequencesCalculate the nth term, the sum of the first n terms and a preview from the first term and the difference or ratio.

MathematicsTwo points and their lineCalculate the distance, midpoint, slope and intercept of the straight line defined by two points.

MathematicsVector calculator in two or three dimensionsCalculate sums, differences, magnitudes, dot products and angles. Three-dimensional vectors also show the cross product.

MathematicsCombinatorics calculatorCount selections with or without order and repetition. Large counts are returned as exact whole numbers.

MathematicsStatistics and binomial probabilityDescribe a list with its mean, median and spread, or calculate the probability of a specified number of successes.

MathematicsSample size for a proportionPlan the valid responses and invitations needed from your margin of error, confidence level and expected response rate.

MathematicsProportion and Wilson intervalCalculate a two-sided Wilson confidence interval from successes and total observations, including observed proportions of 0% or 100%.

MathematicsBayes calculator with frequenciesCombine a prior proportion with an observed feature. Expected frequencies per 10,000 cases help you check the conditional probability.

MathematicsDrawing without replacementCalculate the probability that a random selection contains at least or exactly k topics you know.

MathematicsProbability of reaching a score by guessingCombine definitely correct answers with random guesses. Include points awarded, penalties and your target total score.

MathematicsCollecting stickers: new designs and duplicatesFor equally common designs, estimate the additional draws needed to complete a collection and the new designs and duplicates in a planned purchase.

MathematicsThree sets and their overlapsSplit counts for three groups into seven separate regions and find how many people lie outside all three groups.

MathematicsStatistics from grouped frequenciesEstimate the mean, standard deviation and median from class lower bounds, upper bounds and frequencies.

MathematicsJoint work timeCalculate how long two people or machines need to complete a task together, and what changes when B leaves early.

MathematicsTank filling and draining timeFind the time to a target level from two inflows, an outflow, total capacity and the current fill level.

MathematicsRound-robin matches and tournament durationPlan the match count and a conservative total duration for two to 24 teams, with multiple courts and breaks.

MathematicsReading and study time plannerPlan whole pages per day using your measured pace, an allowance for revision and regular study breaks.

MathematicsAttendance and absence allowanceCheck how many whole sessions you may miss and how many remain, using a course rule you enter yourself.

MathematicsRequired exam scoreCalculate the exam score needed to reach your target alongside your current result. An expected score shows the resulting overall mark.

MathematicsWeighted average and targetCalculate an average from scores and weights. An additional weight lets you find the new average needed to reach a target.

MathematicsMeasurement uncertainty propagationCalculate the combined standard uncertainty of a sum, difference, product or quotient of two independent measured quantities.