TMUA guide
How to prepare for TMUA: a 12-week study plan
A structured route from diagnostic work and topic repair to timed practice, error analysis and final computer-based preparation.
Read the TMUA study plan →Free preparation resources
Prepare with purpose.
Practical guides for TMUA, STEP and Cambridge Mathematics interviews, together with direct links to the official papers, specifications, modules and videos worth using.
Original guidance
Advice built around how students improve.
Each guide focuses on the decisions that make preparation effective: sequencing work, analysing errors, writing clearly and learning to respond productively when a problem is unfamiliar.
STEP guide
How to write a strong STEP solution
What a complete mathematical argument needs, how to make progress visible and why checking structure matters as much as reaching an answer.
Read the STEP solution guide →STEP planning
When should you start preparing for STEP?
A realistic preparation timeline for students at different stages, from early problem-solving development to offer-holder preparation.
Plan your STEP preparation →Cambridge interviews
What happens in a Cambridge maths interview?
How mathematical discussion, hints and unfamiliar questions work, with practical ways to practise explaining reasoning aloud.
Read the interview guide →Official materials
Start with the authoritative sources.
These links go directly to the organisations responsible for the assessments or to the University of Cambridge. Papers remain on the official sites rather than being copied here.
UAT-UK
TMUA preparation materials
Historic papers, answer keys, worked answers and official preparation material.
UAT-UK
TMUA specification and practice tests
Current specification, computer-based practice and Notes on Mathematics and Logic.
University of Cambridge
STEP Support Programme
Free foundation, STEP 2 and STEP 3 modules with hints and full solutions.
STEP Support Programme
STEP question database
Search past questions by paper, year or topic and find available mark schemes.
OCR
Preparing for STEP
Official examination information and links to preparation support.
University of Cambridge
Interview preparation
Official preparation advice for Cambridge applicants, including online interviews.
Need help turning practice into progress?
Individual tuition can help identify which part of a student's preparation is limiting performance and build a focused plan around it.