A Level Further Maths OCR Past Papers

This is a dedicated page for OCR A level further maths past papers and mark schemes. Whether you are looking for OCR A level further maths revision materials or teaching resources Maths Made Easy can help. Find a plethora of A Level further maths past papers and OCR exam solutions in the tables below.

AS and A Level Further Mathematics A (NEW SPEC)

November 2020

June 2019

June 2018

Sample Assessment Material

Other Resources

AS and A Level Further Mathematics A (RESIT ONLY)

Further Pure 1 (Old Specification)

Further Pure 2 (Old Specification)

Further Pure 3 (Old Specification)

OCR A Level Further Maths Spec at a glance

The OCR A level further maths specification is very challenging. The OCR further maths exam structure and content is detailed below.

Pure core 1 (Y540)

Exam Structure:

·75 marks

·1 hour 30 mins

·25% of the qualification

·Examines pure maths content with long and shorter problem-solving questions.

Pure core 2 (Y541)

Exam Structure:

  • 75 marks
  • 1 hour 30 mins
  • 25% of the qualification
  • Assesses content from pure core maths with long and short questions.

Optional Exams

Students must complete both core modules and corresponding exams along with two from the list below in order to obtain an A level qualification:

Statistics (Y542)

  • 75 marks
  • 1 hour 30 mins
  • 25% of the qualification
  • Assesses content from statistics topics as detailed below.

Mechanics (Y543)

  • 75 marks
  • 1 hour 30 mins
  • 25% of the qualification
  • Assesses content from mechanics topics as detailed below.

Discrete mathematics (Y544)

  • 75 marks
  • 1 hour 30 mins
  • 25%
  • Assesses content from discrete mathematics as detailed below.

Additional pure mathematics (Y545)

  • 75 marks
  • 1 hour 30 mins
  • 25% of the qualification
  • Assesses content from additional pure mathematics as detailed below.

Content Summary:

The following topics are covered in each exam:

Pure mathematics

  • Proof
  • Complex numbers
  • Matrices
  • Further vectors
  • Further algebra
  • Series
  • Hyperbolic functions
  • Further calculus
  • Polar coordinates
  • Differential equations

Statistics

  • Probability
  • Discrete random variables
  • Continuous random variables
  • Linear combinations of random variables
  • Hypothesis tests and confidence intervals
  • Chi-squared tests
  • Non-parametric tests
  • Correlation
  • Linear regression

Mechanics

  • Dimensional analysis
  • Work, energy and power
  • Impulse and momentum
  • Centre of mass
  • Motion in a circle
  • Further dynamics and kinematics

Discrete mathematics

  • Mathematical preliminaries
  • Graphs and networks
  • Algorithms
  • Network algorithms
  • Decision making in project management
  • Graphical linear programming
  • The simplex algorithm
  • Game theory

Additional pure mathematics

  • Sequences and series
  • Number theory
  • Groups
  • Further vectors
  • Surfaces and partial differentiation
  • Further calculus