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A Level Further Maths: what practice material is available? 19 February 2026

Steven Walker, Maths Subject Advisor

Steven Walker

This blog supersedes an older blog on practice materials. See also the companion blog post A Level Maths: what practice material is available?

The introduction of a prescribed core content during the A Level Further Maths reform back in 2017 means there’s a good range of sources for teaching resources and practice exercises that could be used by teachers regardless of the actual specification being studied. Teachers turn to the exam board for exam style questions and papers that reflect what their students will face in the summer at the end of the course. 

With two accredited A Level Further Maths specifications, Cambridge OCR can offer twice the quantity of past paper questions for this pure content, sat by candidates under exam conditions, marked to A Level standard and discussed in examiner reports and candidate exemplar documents.

All the resources mentioned in this blog are available on Teach Cambridge, our secure platform for teachers.

Similarities between Spec A and Spec B

Both specifications were accredited against the same Department of Education criteria for AS and A Level Further Mathematics. There were separate teams working on the individual specifications, but we worked together on many issues, especially the approach taken on command words and the use of technology. While the structure of the assessment is different, individual questions are similar in style and the majority of questions from either specification could be used with your students, especially the mandatory pure papers.

Further Maths A H245 has two mandatory pure papers:

  • Y540 Pure Core 1
  • Y541 Pure Core 2

Further Maths B (MEI) H645 has a single mandatory pure paper:

  • Y420 Core Pure

Past papers

These have been sat by candidates under exam conditions. The mark schemes may be tweaked based on a sample of scripts at the standardisation meeting, and even sometimes mid-way through marking if the mark scheme appears to be unfairly penalising candidates (with any previously marked scripts checked of course). 

Examiner reports are produced for results day (unless the cohort size is too small to highlight common outcomes). 

Students have access to all past papers, except the latest series, via the student past paper finder.

Alternative papers

These are based on the corresponding live past paper, with slight edits to provide a fresh challenge. The intention is that teachers can use the alternative papers as a follow up once the original version has been sat, marked, and reviewed in class. 

  • Search for alternative papers for Further Maths A H245 here. 
  • Search for alternative papers for Further Maths B (MEI) H645 here. 

You can also use ExamBuilder to create your own worksheets and tests using past paper questions. 

Practice papers

These were drafted during the accreditation process and published once the qualification was accredited. The questions, level of demand and structure reflect the live papers. However, the mark schemes have not had the benefit of a “sense check” against actual candidate scripts, so lack some of the extra guidance and alternative solutions that are added during the standardisation meeting. 

Three sets of practice papers for A Level Further Maths are available. 

There are also two sets of practice papers for AS Further Maths. 

  • Search for practice papers for Further Maths A H245 here. 
  • Search for practice papers for Further Maths B (MEI) H645 here.

Progress tests

Feedback from teachers has been positive for the progress tests published for A Level Maths so we have commissioned some for Further Maths. These are 50-mark tests and could be a mix of questions from both legacy and reformed specifications. Questions are edited, if necessary, and examiners’ report comments added to the mark scheme if applicable. 

  • Search for progress tests for Further Maths A H245 here. 
  • Search for progress tests for Further Maths B (MEI) H645 here.

Check in tests

These are ten question tests written for each section of the specification. These are designed for use after teaching the A Level content, ensuring a revision of the AS material alongside the new A Level only material. 

  • Search for check in tests for Further Maths A H245 here.
  • Search for check in tests for Further Maths B (MEI) H645 here.

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If you have any questions, you can email us at maths@ocr.org.uk, call us on 01223 553998 or message us on social media.

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About the author

Steven originally studied engineering before completing a PGCE in secondary mathematics. He has taught secondary maths in England and overseas. Steven joined Cambridge OCR in 2014 and worked on the redevelopment of the FSMQ and the A Level Mathematics suite of qualifications. Away from the office he enjoys cooking and to travel. You can follow Steven on BlueSky or Linkedin.

Related blogs

  • A Level Maths: what practice material is available?
  • AS/A Level Maths and Further Maths: the truth about calculators
  • Studying A Level Further Mathematics at home
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