LearnRoostLearnRoost Playground
Maths you can move.
22 interactive pages for the ideas that are hard to picture on paper. Drag the points, move the sliders and watch the working update as you go.
- No account needed
- Works on a phone or a computer
- Every number is worked out live
GCSE Maths
Foundation and Higher. Pages marked Higher go beyond Foundation.
- Quadratic graphsRoots, turning point, completing the square, the discriminant and inequalities.
- Straight-line graphsGradient, the equation through two points, parallel and perpendicular lines.
- Simultaneous equations HigherWhere lines, quadratics and circles meet, with the algebra alongside.
- Graph transformations Higherf(x) + a, f(x + a), reflections and stretches, with a point's mapping.
- Sequences and the nth termArithmetic, geometric and quadratic sequences as patterns.
- Circle theorems HigherDrag points round a circle and watch each theorem hold.
- TransformationsRotation, reflection, translation and enlargement, including negative scale factors.
- Constructions and lociCompass constructions step by step, and shaded loci regions.
- Sine and cosine rules HigherWhich rule to use, the working, area by ½ab sin C, and the ambiguous case.
- Unit circle and trig graphs Highersin, cos and tan drawn from the circle; exact values; solving in 0–360°.
- 3D trigonometry HigherThe right-angled triangles hidden inside a pyramid or cuboid.
- Similar shapes HigherLength, area and volume scale factors on 3D solids.
- Vector proofs HigherColumn vectors, route vectors, parallel lines and collinear points.
- Probability trees and Venn diagramsWith and without replacement; set notation and conditional probability.
- Histograms HigherFrequency density with unequal class widths, then cumulative frequency and box plots.
A-level Maths
Pure maths: calculus, trigonometry and vectors.
- Calculus explorerA chord becomes the tangent as h shrinks; rectangles become the area.
- Stationary pointsf(x) and f′(x) together; classifying turning points with f″(x).
- Integration and areasAreas above and below the axis, between curves, and the trapezium rule.
- Radians, arcs and sectorsArc length, sector and segment area, and small-angle approximations.
- 3D vectors and planes FurtherDot and cross products, the angle between vectors, a plane and its normal.
GCSE Physics
Graphs and circuits from the physics course.
These are early prototypes, made in November 2026. Spotted a mistake or something confusing? Tell us.