MAT Preparation

What the MAT actually tests

How to prepare for it

• Look before you calculate. Spend the first thirty seconds of every question looking for structure. Coefficients 1, 4, 6, 4, 1 are a binomial expansion. A denominator that never vanishes is a hint about range. The habit of looking is worth more than any individual technique.
• Write the long section properly. Marks in the written section are for the argument, not the answer. A correct final line with no reasoning scores badly, and a wrong final line with sound reasoning scores well. Practise writing, not just solving.
• Use real past papers. Oxford publishes them with solutions, and they are the single best preparation resource for this test. The mock below is extra practice, not a replacement.

Practice material on this site

These papers were drafted with AI assistance and have not been through the review process the ESAT material goes through. The answer keys were checked by computer algebra where the notice on each paper says so; the difficulty and the explanations were not. They are extra practice, not a predictor, and not a substitute for real past papers.

• Mock Section A: Multiple Choice

Found an error in one of them? Tell me and it will be fixed or withdrawn.

What the practice material covers

Counted from the questions themselves, not transcribed from a specification. For what is actually examinable in your cycle, check the official specification: it is revised between cycles and no tutor's summary of it should be trusted over the source.

10 questions across 8 topics. Thin coverage of a topic here does not mean it is unimportant in the real test; it means this practice set is small.

Common questions

• Do I need Further Maths for the MAT? No. The MAT assumes A-level Maths content only. What makes it hard is that questions are built so the right observation collapses the work and the obvious route is long.
• How should I practise for a test that rewards insight? Spend the first thirty seconds of every question looking for structure before calculating anything: a hidden factorisation, a symmetry, a substitution, a denominator that never vanishes. The habit of looking is more transferable than any individual technique.
• Are marks given for working? In the longer written section, yes, and they are the majority of the marks in it. A correct final line with no reasoning scores badly. Practise writing arguments, not just reaching answers.
• What is the single best preparation resource? Oxford publishes real past papers with solutions, and they are better preparation than anything else including the mock on this site. Use the mock as extra volume once you have worked the real ones.
• Are the practice questions on this site official? No. They are AI-drafted mock questions with machine-checked answer keys, and every page says so at the top.

Sitting more than one of these?

Candidates often sit two admissions tests in the same cycle, and the overlap is larger than it looks: the pure mathematics is shared, and the habits that earn marks in one paper usually earn them in another. Each page below covers what its test rewards and what free practice exists for it.

• TMUA: Test of Mathematics for University Admission Two papers and Multiple choice and Pure mathematics
• PAT: Physics Aptitude Test Oxford and Physics and mathematics
• STEP: Sixth Term Examination Paper Cambridge and Warwick and Long-form proof
• ESAT: Engineering and Science Admissions Test The deepest library on this site, written and checked by hand