Math

Works out the area of a circle, sector or semicircle from a radius or diameter, with the arc length, perimeter and chord.

Works out the area, perimeter and diagonal of a rectangle or square, and the area and perimeter of a parallelogram or kite.

Works out the area, median and perimeter of a trapezoid, and the volume and surface area of a trapezoidal prism.

Works out the area of a triangle from base and height, three sides, two sides and the included angle, or an isosceles triangle's equal side and base.

Works out the mean, median, mode, range and sorted order of a list of numbers, or a weighted average with one weight per value.

Works out a circle's radius, diameter, circumference and area from any one of them, with the arc length and sector area for a central angle.

Works out an angle's complement, supplement, coterminal and reference angles, radians and double-angle values, or an angle of depression from a height and a distance.

Works out the cross product of two three-dimensional vectors with its magnitude, unit normal, the dot product, both magnitudes and the angle between the vectors.

Converts exactly between decimals, fractions, mixed numbers and percents, shows repeating decimals in full, and rounds to the nearest half, quarter, eighth, sixteenth, thirty-second or sixty-fourth.

Works out the absolute difference, the signed change, the percent difference and the percent change in each direction between two numbers.

Works out the straight-line distance between two points in two or three dimensions, its exact radical form, the midpoint and the Manhattan distance.

Divides one number by another and gives the quotient and remainder under the Euclidean, truncated and floored rules, the exact decimal quotient and the mixed number.

Works out the greatest common factor and least common multiple of a list of whole numbers by Euclid's algorithm, or the least common denominator of a list of fractions.

Converts whole numbers exactly between hexadecimal, decimal, binary and octal at any length, and gives the bits and bytes they need.

Works out logarithms in base 10, e, 2 or any other base, and the matching powers, including e to the x and 10 to the x.

Solves density equals mass over volume for whichever of volume, mass or density is missing, converting between metric and US units exactly.

Works out X percent of Y, what percent X is of Y, the percent change from X to Y, and Y increased or decreased by X percent, with exact decimal arithmetic.

Converts a point between polar coordinates and rectangular coordinates in either direction, with the angle in degrees or radians and the complex number form.

Works out the area, perimeter, apothem and angles of a regular polygon from its side, and the area and approximate perimeter of an ellipse.

Solves a proportion for its missing term, finds the constant of proportionality and the length, area and volume scale factors, and splits a length by the golden ratio.

Solves a right triangle from any two sides or a side and an acute angle, giving every side, both acute angles, the area and the 45-45-90 and 30-60-90 special cases.

Rounds a number to a chosen place value and shows the result under round half up, round half to even, ceiling, floor and truncation.

Counts the significant figures in a typed number by the standard rules, rounds it to a chosen number of significant figures, and writes it in scientific and E notation.

Works out the slope of a line from two points or from a point and a slope, and writes the line in slope-intercept, point-slope and standard form with its intercepts.

Works out the square root, cube root or any nth root of a real number, with the simplest radical form for whole numbers up to a trillion.

Works out the sample and population standard deviation and variance of a list of numbers, with the mean, the sum of squared deviations and the standard error of the mean.

Works out the surface area to volume ratio of five solids, and a sphere's or cube's surface area from its volume or volume from its surface area.

Runs a one-sample t-test of a mean against a hypothesised value and gives the t statistic, degrees of freedom, p-value, critical t and a confidence interval.

Solves a triangle from three sides, two sides and the included angle, or two angles and a side, and names it acute, right or obtuse and equilateral, isosceles or scalene.

Works out the six trigonometric functions of an angle in degrees or radians, and the inverse sine, cosine and tangent of a value.

Converts a quadratic between standard form and vertex form and gives the vertex, axis of symmetry, extreme value, discriminant, roots and y-intercept.

Works out the volume, slant height and surface area of a right circular cone, with its capacity in litres, US gallons and cubic yards.

Works out the volume, curved and total surface area of a cylinder from its radius or diameter and height, with the capacity in litres and US gallons.

Works out the volume, slant height and surface area of a right pyramid on a rectangular or regular polygon base, or the volume from any base area.

Works out the volume, surface area, space diagonal and capacity of a box or cube, and the volume and surface of a triangular prism from its three base sides.

Works out the volume and surface area of a sphere or hemisphere from its radius or diameter, or a sphere's radius from its volume or surface area.

Standardises a raw score into a z-score, gives the standard normal areas and p-values for any z, and finds the critical z for a confidence level.