Further Maths study guides

A deep-dive OCR A-Level Further Mathematics A guide to the complex numbers strand of the Pure Core: arithmetic and the Argand diagram, modulus-argument and exponential form, de Moivre's theorem and multiple-angle identities, and the nth roots of unity and loci, with the techniques OCR repeats in the Pure Core papers.

A deep-dive OCR A-Level Further Mathematics A guide to the further calculus strand of the Pure Core: the Maclaurin series, improper integrals and convergence, volumes of revolution, and first and second order differential equations including simple harmonic motion and damping, with the techniques OCR repeats in the Pure Core papers.

A deep-dive OCR A-Level Further Mathematics A guide to the further vectors and planes strand of the Pure Core: the scalar and vector products, equations of lines and planes in three dimensions, intersections, and angles and shortest distances, with the techniques OCR repeats in the Pure Core papers.

A deep-dive OCR A-Level Further Mathematics A guide to the matrices and transformations strand of the Pure Core: matrix arithmetic and determinants, inverses of 2x2 and 3x3 matrices, solving linear systems, and matrices as geometric transformations, with the techniques OCR repeats in the Pure Core papers.

A deep-dive OCR A-Level Further Mathematics A guide to the optional Mechanics paper (Y543): work, energy and power with elasticity, momentum, impulse and collisions, circular motion, and centre of mass, with the techniques OCR repeats in the Mechanics option.

A deep-dive OCR A-Level Further Mathematics A guide to the polar coordinates and hyperbolic functions strand of the Pure Core: polar coordinates and curves, area in polar coordinates, the hyperbolic functions and their identities, and calculus with hyperbolic functions, with the techniques OCR repeats in the Pure Core papers.

A deep-dive OCR A-Level Further Mathematics A guide to the series and proof strand of the Pure Core: proof by mathematical induction, the standard summation formulae, the method of differences, and the relationships between the roots and coefficients of polynomials, with the techniques OCR repeats in the Pure Core papers.

A deep-dive OCR A-Level Further Mathematics A guide to the optional Statistics paper (Y542): discrete and continuous random variables, the Poisson and geometric distributions, and chi-squared and non-parametric tests, with the techniques OCR repeats in the Statistics option.