OCR AS Level Further Mathematics A Past Papers

OCR AS Level Further Mathematics A (H235) extends the content of AS Mathematics into deeper algebraic, geometric, and applied territory, and is typically studied alongside AS or A-Level Mathematics. The qualification is assessed by two papers: Pure Core (mandatory) and one optional paper chosen from Additional Pure, Mechanics, Statistics, or Discrete Mathematics. Paper 1: Pure Core (H235/01, 1 hour 30 minutes, 75 marks) covers content that goes beyond AS Mathematics A. Topics include complex numbers (the Argand diagram, modulus-argument form, De Moivre's theorem at introductory level), matrices (2×2 and 3×3 matrix operations, determinants, inverse matrices, transformations in the plane), further calculus (integration by parts, integration by substitution, arc length and surface area of revolution), series (Maclaurin series for standard functions), and proof by induction. The optional Paper 2 allows specialisation. Mechanics (H235/02B) covers further kinematics (variable acceleration using calculus, projectiles on inclined planes), circular motion, work, energy and power, and simple harmonic motion. Statistics (H235/02C) covers discrete and continuous probability distributions beyond the binomial, including the normal distribution, statistical inference using the normal distribution, and chi-squared contingency table tests. Discrete Mathematics (H235/02D) covers graph theory (traversability, spanning trees), algorithms (sorting, shortest path, linear programming), and networks. Additional Pure Mathematics (H235/02A) extends the Pure Core with further complex numbers, hyperbolic functions, differential equations, and vectors in three dimensions.