Focused TMUA preparation, built by people who took the test seriously.

Lemma is a study system for the Test of Mathematics for University Admission. It is one product, one focus, one course. Twelve months of access for a single one-off payment.

What's inside

Approximately two thousand TMUA-style questions calibrated across difficulty 2 to 5, organised into forty-five topic areas covering the full test scope. Every question has a complete worked solution. The harder ones have animated video walkthroughs.

Realistic timed mock papers, set up exactly like the real thing: two seventy-five-minute sittings of twenty multiple-choice questions, no calculator, no formula booklet, no break.

A dashboard that tracks topic coverage, exam-readiness, pace, and recent activity, so revision time goes to the topics that need it.

Who Lemma is for

Students preparing for the TMUA as part of applications to competitive undergraduate courses in mathematics, computer science, economics, and related quantitative subjects. UK candidates are the primary audience; international candidates sitting the TMUA from outside the UK are equally welcome.

Why this and not a textbook

Textbooks teach mathematics; Lemma teaches the TMUA. The two are related but not the same. The TMUA is not a curriculum exam; it is a test of structured reasoning under pressure. Lemma is built end to end around that single fact.

Where Lemma is based

Lemma is built and maintained in the United Kingdom.

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If you have questions about whether Lemma is right for your preparation, the fastest answer is to try a few worked problems and a topic hub.