Yr11/12 Further Maths Transition
Essential Knowledge!
For further maths, you need to have an ingrained enthusiasm for solving problems, logical thinking, and applying knowledge and mathematical methods in unfamiliar contexts. So here, we present some of our favourite problem-solving maths questions.
Do these types of questions interest you?
Can you have a reasonable attempt at several of these? Not necessarily complete it but just have a go.
For each one, think about what areas of maths you know could be useful and where could you begin?
You might like to try this selection of questions here.
Some great questions from the AMSP (who used to be known as the FMSP!)
Great websites to explore for further maths
**NEW** GCSE-A level maths Transition - support, tasks and guidance from the AMSP (Advanced maths support program)
MEI Maths Question for the Month - Archive of monthly problem solving questions from MEI. They're arranged by level and topic
Wolfram Alpha - An awesome website, will solve virtually any equation you can think of
Madas Maths - A great source of harder, more problem solving style, exam question papers and questions grouped by difficulty / topic
Colmanweb Problem Solving - Great archive of UKMT questions and *new* Easter 2020 Four-a-day Maths Questions
Project Euler - a series of awesome maths and/or computing challenges
Ritangle - archive of questions from previous challenges (see further down the page)
Great reading books for further maths
All the books listed on the maths page
Music of the Primes by Marcus du Sautoy
Fermats Last Theorem by Simon Singh
17 Equations that Changed the World by Ian Stewart
1089 And All That by David Acheson
Alex's Adventures in Numberland by Alex Bellos
Useful A level further maths resources
Our specification - OCR A (and here's the at a glance version)
You'll need either a Casio Classwiz FX-991EX calculator, they're on Amazon here or better yet, the Casio GC50 graphics calculator, see Amazon here
Solve anything with Wolfram Alpha
Desmos graphing software (simpler, easier to use, works well on all devices)
Geogebra graphing software (more advanced, harder to get used to but well worth it once you do!)