TMUA & ESAT Preparation

Specialist online mathematics preparation for TMUA and ESAT. Prepare for the January 2027 sitting with targeted one-to-one tuition or a specialist small group.

One-to-one: £90 per 60-minute lesson | January small groups: £40 per student per 60-minute session

2026–27 test dates: January sitting: 4–8 January 2027. The October 2026 sitting has finished.

January 2027 small groups now forming. Group times will be arranged around student availability; start dates are not yet confirmed.

January 2027 test window: 4–8 January 2027; in China, Hong Kong and Macau: 8 January (TMUA) and 6 January (ESAT). Check your eligibility: Most Cambridge and Oxford applicants must take the October sitting, with limited exceptions for eligible January-deadline courses. Confirm your dates and eligibility in the official UAT-UK guidance.

Portrait of Dr Alastair Keddie

Choose Your Preparation

For January 2027, choose individual preparation or enquire about a specialist small group.

TMUA One-to-One

£90 per 60-minute lesson

Timed reasoning questions, efficient algebraic methods, exam technique and individual feedback.

View TMUA one-to-one

ESAT Mathematics One-to-One

£90 per 60-minute lesson

Mathematics 1 and Mathematics 2, speed, non-calculator skills and targeted timed practice.

View ESAT one-to-one

January 2027 Small Groups

TMUA and ESAT overlap in the mathematical fluency they demand, but the exams reward different things. The January groups are separate courses rather than a generic entrance-test group.

TMUA January Preparation Group

£40 per student per 60-minute session | Ideally 4–6 students (maximum 6)

Focused preparation for the Test of Mathematics for University Admission, with timed questions, efficient reasoning, problem-solving strategy and careful analysis of how to approach unfamiliar problems.

  • TMUA-specific timed practice
  • Efficient reasoning and problem solving
  • Question selection and time management
  • Targeted homework and feedback

ESAT January Preparation Group

£40 per student per 60-minute session | Ideally 4–6 students (maximum 6)

Focused preparation for the mathematics components of ESAT. Particular emphasis is placed on non-calculator fluency, speed and choosing the quickest reliable method under severe time pressure.

  • ESAT-specific Mathematics 1 / 2 preparation
  • Speed and non-calculator fluency
  • Diagnostic assessment before the course
  • Targeted homework and feedback

Before the Course: Shared Diagnostic

TMUA & ESAT Pre-Course Diagnostic

A short prerequisite diagnostic used before both programmes to identify gaps in mathematical knowledge, non-calculator fluency and speed.

What the January Groups Include

Small Groups, Direct Feedback

With a maximum of six students, there is time to compare different approaches, discuss mistakes and receive direct feedback rather than simply work through questions independently.

Timed Practice

Students attempt carefully selected questions themselves under realistic time pressure rather than simply watching solutions.

Analysis, Not Just Answers

We discuss what should have been noticed, which route was most efficient, where time was lost and how to make better decisions next time.