Maths Tools

Small calculators that keep fractions exact and show their working · 8 tools

y = mx + c Line Calculator Equation of a straight line from a gradient and a point or from two points, or find unknown letters from points on a line. Exact fractions, full working and a graph. straight linescoordinate geometryfractions Updated
ax² + bx + c Quadratic Solver Solve ax² + bx + c = 0 exactly with surds. Discriminant, factorised form, completing the square, turning point and graph. Y12quadraticssurds Updated
(x − a)² + (y − b)² = r² Circle Equation Centre and radius by completing the square, or the equation from a centre and radius, a diameter or three points. Check points and find tangents. Y12coordinate geometrycircles Updated
(a + bx)ⁿ Binomial Expansion Expand (a + bx)ⁿ exactly, for whole-number powers and for negative or fractional powers with the range of validity. Coefficients of xᵏ and estimates. Y12Y13binomialseries Updated
dy/dx Differentiation & Integration Differentiate and integrate sums of powers of x, including roots and 1/x. Gradients, tangents and normals, stationary points and their nature, definite integrals and areas. Y12Y13calculus Updated
uₙ, Sₙ Sequences & Series Arithmetic and geometric sequences: nth term, sum of n terms, sum to infinity, or find a, d or r from two terms. Which term is a value, and when the sum passes a target. Y12Y13sequencesseries Updated
X ~ B(n, p) Binomial Distribution X ~ B(n, p): P(X = r), P(X ≤ r) and more with working, mean and variance, a probability table and chart, and critical regions for hypothesis tests. Y12statisticshypothesis testing Updated
X ~ N(μ, σ²) Normal Distribution X ~ N(μ, σ²): probabilities with standardising and a shaded curve, the inverse normal, and finding an unknown mean or standard deviation. Y13statistics Updated