TMUA specification: what is on the test
The official TMUA specification says what mathematical content can appear. It is a free PDF from UAT-UK, and it is the best starting point for planning your revision.
Last checked 12 November 2026. Written by Proven Papers, an independent practice site.
Where to find it
UAT-UK publishes the TMUA Content Specification as a PDF on its website. Read the specification itself rather than a summary, because it is the only authoritative list of what can be examined. We link to it in the sources below.
What level of maths it assumes
UAT-UK describes the test as using content typically taught in Higher level GCSE mathematics or AS level mathematics. You do not need to have studied Further Mathematics. The difficulty comes from applying familiar ideas in unfamiliar situations, with no calculator.
How the two papers differ
- Paper 1, applications of mathematical knowledge: 20 multiple-choice questions in 75 minutes.
- Paper 2, mathematical reasoning: 20 multiple-choice questions in 75 minutes, covering reasoning and simple ideas from elementary logic.
- Together that is 2 hours 30 minutes. There is no calculator and no negative marking.
How to turn the specification into a revision plan
Our <a href="/tmua/topics/">topic pages</a> and the <a href="/tmua/practice-questions/">free practice questions</a> are a quick way to test each area.
- Go through each item in the specification and mark it green, amber or red for how confident you feel.
- Spend the first weeks on the red items, using short sets of questions rather than long papers.
- Read UAT-UK's Notes on Logic and Proof before you start Paper 2 practice.
- Move to timed full papers in the last few weeks.
Quick answers
Is there an official TMUA specification?
Yes. UAT-UK publishes a TMUA Content Specification as a free PDF on its website.
Do I need A level Further Maths for the TMUA?
No. UAT-UK describes the content as typically taught in Higher level GCSE or AS level mathematics.
Can I use a calculator in the TMUA?
No. UAT-UK states that you cannot use a calculator or dictionary.
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Sources
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Proven Papers is not part of UAT-UK, Pearson VUE or any university. Guides are general information, not admissions advice.