Return to A Level Further Mathematics Menu
From amsp this brilliant collection of short videos produced by the legacy Further Mathematics Support Program supports the Further Maths Specification. I have used many of these successfully in class and recommended them to students to support their studies. Look at any of the examination boards to see the coverage for the course.
Exemplar Materials
Pearson Sample Assessment Materials – Exemplar Answers with examiner comments (freely available, no login required, scroll down the page).
Pearson – Teacher Support – Further Mathematics
AQA Teaching Guidance – Further Maths
Topic Tests
- AQA
- OCR A Delivery Guides and Check In Tests
- OCR B Delivery Guides and Check In Tests
- Pearson Classroom Tests
A set of really useful Topic Tests are available for both Maths and Further Maths A Levels from AQA. I like the index provided by the mapping documents, one for Maths and one for Further Maths. For each test there is a clear statement of what is assessed in the test which comprises two sections. The questions in section A test basics of the topic and those in section B require a bit more thinking. Mark schemes are provided for all tests.
(How to get access to AQA’s free portal – All About Maths).
Dr Frost – Further Mathematics resources for Edexcel.
- A Level Further Maths – Core Pure Year 1
- A Level Further Maths – Core Pure Year 2
- A Level Further Maths – Further Mechanics
- A Level Further Maths – Further Pure 1
On Mohammed Ladak’s ‘MathedUp’ see his A Level Further Maths Takeaway, a wonderful source of exam questions by topic with mark schemes. AQA questions have been used here.
CrashMATHS
From crashMATHS, note the A Level Practice Papers and mark schemes.
For Further Mathematics, some AS and A Level Practice papers are available for Edexcel Further Mathematics (see Bronze Sets A and B).
On Exam Solutions you will find tutorials and solutions to past papers for AQA, Edexcel and OCR. If we look at the Edexcel page, we can see worked solutions to the June 18 A Level papers. Further Mathematics worked solutions will be made available when the papers are published by the examination board.
Owen (Owen134866 on TES) has a library of Further Mathematics teaching resources, these are really clearly structured with step by step examples.
A Level Core Pure Mathematics Year 1
A-level Core Pure Mathematics Year 2/A2
Further Mechanics 1
Joe Berwick has written a complete set of notes for Further Statistics 1, these are for the Edexcel and AQA specifications and include many very clear worked examples.
Sebastian Bicen (@BicenMaths) has created this really useful hyperlinked PowerPoint and pdf which provides Further Mathematics exam questions by topic. The exam papers included are as follows:
AS and A2 SAMs
AS and A2 Specimen
AS 2018
A2 Mock Paper
Tayyub Majeed has a very useful exam paper pack with questions on Pure Maths, Statistics and Mechanics, his exam pack is available on Google Drive, here.
For Further Maths, note the Core Pure pack and Further Mechanics. Questions are taken from old and new specifications, mostly Edexcel.
On Dr Tom Bennison’s blog, you will find many excellent teaching resources for Further Mathematics (and also Mathematics).
AMSP Resources
You can register your school free with AMSP for many benefits to support the teaching and learning of AS/A level Further Mathematics. Already mentioned above. from amsp is this brilliant collection of short videos produced by the legacy Further Mathematics Support Program
Use of Technology
MEI GeoGebra Tasks for AS/A Level Further Maths
From The GeoGebra Institute of MEI, Use of GeoGebra in Further Maths: examples. See also Using GeoGebra for A Level Further Mathematics, a GeoGebra Book providings ideas and suggestions for using GeoGebra to enhance teaching and learning A level Further Mathematics.
Jack Brown has created thousands of videos covering the complete A Level specification; the easiest way to navigate the videos is through his website, TLMaths.com.
Jack also has Further Maths teaching videos and exam paper walkthroughs.
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From the legacy specification but still some really useful and clear PowerPoints for Further Mathematics from Dan Walker.
Jonny Griffiths investigative activities for the pure A Level Mathematics classroom are well known (details are included in the A Level resources pages, see RISPS. He has now published Further Risps, forty rich tasks for the pure Further Mathematics classroom.
Two editions are available – a hard copy or pdf version. The pdf version is now available free from www.further-risps.co.uk. On this page you can see two trial activities, Further Risps 1 and 2.
The pdf not only provides the forty problems but also full teachers notes for each. The notes for each task begin with the topic or topics covered, identify the type of task, for example, introductory and state any preliminary knowledge required. This is a valuable resource for teaching Further Mathematics.
Investigating the first Risp on Matrices at the session this certainly would help students with fluency in finding the determinant of a matrix. Rich tasks like this can provide students with a greater understanding than just a traditional exercise and will hopefully stick for longer!