Proof and counterexamples
Free TMUA Paper 2 lesson. Problem-solving strategies, fully worked examples of the question types that keep coming up, common mistakes and a self-check.
What the lesson covers
- The patterns to expect
- Counterexamples: how to disprove a ``for all''
- Direct proof and algebraic proof
- Proof by cases (exhaustion)
- Proof by contradiction
- Choosing the method
- Habits that win marks
- Self-check questions with answers (8)
Specification: 2.3 direct proof, cases, contradiction, counterexample. Section numbers are Heurisco's own, following the headings of the published TMUA specification.
How to use it
- Read a section, then cover the worked example and try it yourself.
- Check the common mistakes list: these are the slips the real test is built to catch.
- Do the self-check without looking back. Mark it against the answers.
- Then practise the topic under time, with the matching practice set.
Heurisco is an independent practice provider and is not affiliated with, endorsed by, or connected to UAT-UK, Pearson VUE, the UCAT Consortium, or any university.