Algebra and functions
Free TMUA Paper 1 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
- Quadratics and the discriminant
- Completing the square, and quadratics in disguise
- Sum and product of roots
- Inequalities, the modulus and bounds
- Factor and remainder theorems
- Functions
- Surds and indices
- Habits that win marks on algebra questions
- Self-check questions with answers (8)
Specification: 1.1 algebra, polynomials, inequalities, modulus, surds, functions. 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.