TMUA Topic Menu
TMUA Topic 9. Proof and Logic
Exam Techniques
Paper 2 of the TMUA tests the candidate’s ability to think mathematically, and their ability to understand, and construct, mathematical arguments in a variety of contexts. Questions may draw on any mathematical knowledge from Section 1 (the eight topic areas MM1 to MM8 plus the seven ‘GCSE’ topics M1 to M7). However the majority of questions will be phrased in terms of logical arguments or proofs.
The specification introduces a number of key terms and their mathematical definitions, which may be unfamiliar to A Level students. It is crucial to understand these terms, and be able to use them to analyse or construct proofs.
The worksheet I have developed introduces all these concepts and provides examples and practice questions so that students can become familiar with the terminology and how it is used.
There is also a PDF, ‘Notes on Logic and Proof’, published by Cambridge Assessment Admissions Testing. This also covers the key material but it is 65 pages long and with no solutions, so many students do not find it quite as helpful to start with. But it is certainly helpful to read through it once you have grasped the basics.
Official Specification 2025


