FP2: Advanced Core Pure & Further Pure

Advanced Core Pure & Hyperbolic Functions • Post-2017 Linear Alignment

Modern Specification Alignment (Post-2017 Linear A-Level)

While organized under the legacy module code FP2, these notes cover core topics across modern UK specifications:

Edexcel (9FM0): Core Pure 1 & 2 (Hyperbolics, 1st & 2nd order ODEs, Polar Coordinates, Series) and Further Pure 1 (Inequalities).
AQA (7367): Paper 1 & 2 Pure Core (Polar Coordinates, Hyperbolic Functions, Differential Equations, Series).
OCR A (H245): Pure Core 1 & 2 (Hyperbolics, Differential Equations, Polar Coordinates) and Additional Pure (Y545).
OCR MEI (H645): Core Pure (Paper Y420 Mandatory — Hyperbolics, Calculus, Differential Equations, Polar Coordinates).

View our full Cross-Board Curriculum Mapping Guide →

Practice Examination & Verified Model Solutions

Test your knowledge with our refreshed 75-mark practice examination paper and complete step-by-step model solutions, updated to eliminate historical past paper errors:

Download Practice Paper
75 marks • 1h 30m • Refreshed Edition

Download Model Solutions
Full step-by-step worked proofs • PDF

These study materials are based on the Edexcel and MEI specifications for Further Pure Mathematics 2. There is, however, a lot of crossover with other boards. I have published pages for the calculus, hyperbolic functions, and further matrices topics specifically to help students doing MEI FP2.

FP2 is a taster of the mathematics taught in the first year of STEM degrees. Studying this module will give you a huge head start at university.

Topics

Polar coordinates Core Pure All Boards
Maclaurin and Taylor series Core Pure All Boards
Second order differential equations Core Pure All Boards
Series Core Pure All Boards
Complex numbers Core Pure De Moivre & Loci
First order differential equations Core Pure All Boards
Inequalities Further Pure Algebraic Methods
Hyperbolic functions (MEI) Core Pure All Boards
Calculus (MEI) Core Pure Advanced Integration
Matrices (MEI) Core Pure 3x3 Matrices & Inverses