Coordinate Geometry, Vectors and Trigonometry
Lines and circles on the plane, vector methods, and trigonometry beyond the right-angled triangle.
01Straight Lines and CirclesDistance and midpoint, gradients of parallel and perpendicular lines, the equation of a line, the equation of a circle in both forms, tangents, and whether a line meets a circle.100 questions02VectorsVector notation and magnitude, adding and scaling, position vectors, unit vectors, the scalar product, and using vectors to prove lines parallel and points collinear.100 questions03Trigonometric Functions, Identities and EquationsDegrees and radians, the shapes and periods of the three graphs, where each ratio is positive, the Pythagorean identity, proving identities, and solving trigonometric equations over a given interval.100 questions