AQA A-Level Further Maths Paper 1 Warmup

In my academy we have 30 minute warmups before every exam. As it is the first Further Maths paper tomorrow I have produced a warmup sheet of 25 short questions in the style of Jo Morgan’s GCSE Warmups (@mathsjem). This is targeted primarily at the AQA specification, but I am sure will be useful for […]

Tangent Half Angle Subsitution

I’ve always found integration by substitution satisfying, and the tangent half angle substitutions are particularly satisfying. These are also sometimes called “The Weierstrass Substitution” despite no evidence of it in his writings, and it have being used long before in the work of Euler. It is guaranteed to transform a rational function of sine and […]

Graph Sketching Crib Sheet

For the Year 13 revision session I did on Friday in school I produced a three page document for students to practice all the kinds of graph sketching required for A-Level maths. After creating this I saw Jack Brown (@TLMaths) had posted a video which seems to go quite nicely with this. File available here.

A-Level Mechanics Revision Clock

I’ve produced another¬†revision clock activity for the new specification A-Level, this one is focussed solely on mechanics. Download the file here. At some point I hope to get round to writing up worked solutions, but at the moment I am focussed on getting resources out there for students to use.

AQA Level 2 Further Mathematics Relay

I’ve recently shared an A-Level Further Maths vectors relay and thought I would make one for my AQA Level 2 Further Maths students. There are 16 questions in total, so 8 per person in a pair. The idea of these is like the UKMT Team Challenge relays. One person works on the even numbered questions […]

Geometric Interpretation of Simultaneous Equations

One of the topics requested by my current Year 13 Further Mathematicians in their revision lessons has been the geometric interpretation of the solution of simultaneous equations. I hadn’t taught this at A-Level until the new specification so it was interesting to teach. I would always have done this using augmented matrices, performing row operations […]

Know-Why Tables

I’ve recently been listening to the latest episode of Craig Barton’s (@mrbartonmaths) always excellent podcast series. In it he discusses various things with Michael Pershan (@mpershan)¬†but something that caught my ear in the first 15 minutes or so was a short discussion of “two column proofs”. We don’t seem to have this formalism (actually “structure” […]


This is a post mainly for me…. and a resource I wrote probably 5 years ago now. I routinely want to use this resource and always have trouble finding it in my files so I hope that once it is up on here Google will be able to help me locate it in future! As […]

Mike Lawler Inspired Integration

Back in March I saw the tweet shown below from Mike Lawler (@mikeandallie). I think I would default to substituting here but in the thread were a range of different approaches. Tim Gower’s (@wtgowers) was particularly inventive. I’ve always enjoyed asking students to integrate things in different ways and then asking them to show their […]

AS Further Maths Revision Clock 1

For preparation for Year 12 Mocks I made my class an AS Further Revision clock activity. My Year 13s have also done it. The file can be found here.