Reasoning with numbers and counting

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
  • Parity, remainders and primes
  • Sums of consecutive integers
  • Pigeonhole and the pairing method
  • Counting: grids, codes and mountain profiles
  • Iterated rules, invariants and patterns
  • Standard form, bounds, and a little data
  • Habits that win marks
  • Self-check questions with answers (8)

Specification: 2.5 parity, divisibility, primes, counting arguments. Section numbers are Heurisco's own, following the headings of the published TMUA specification.

How to use it

  1. Read a section, then cover the worked example and try it yourself.
  2. Check the common mistakes list: these are the slips the real test is built to catch.
  3. Do the self-check without looking back. Mark it against the answers.
  4. 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.