Test of Mathematics for University Admission (TMUA)
Mental maths practice for the TMUA
The TMUA is sat for mathematics and maths-heavy degrees at Cambridge, Oxford, Imperial, Warwick, LSE, Durham and UCL. Use Daily Sharpen to practise mental maths skills as part of your preparation for the test.
The TMUA, in numbers
Two papers, each 20 questions in 75 minutes
- Calculator
- Not permitted
- Formula sheet
- None supplied
- Scored
- A single overall 1.0–9.0, both papers equated and scaled together
- Negative marking
- None, so answer every question
Set by UAT-UK. Test facts verified against published materials in August 2026.
Try a Mini Sharpen
20 second Mini Sharpen
20 seconds of problems. See how many you can get.
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What you practise
- Quadratic manipulation, and recognising the useful form
- Fraction arithmetic and choosing a common denominator
- Exact trigonometric values, in degrees and radians
- Simplifying surds and rationalising denominators
- Signed-quantity discipline, where one slip costs the whole mark
- Powers of 2 and prime-power recognition
- Logarithm laws as manipulation — the engine of questions, not a topic
- Index laws for all rational exponents
- Discriminant as a decision tool
Practice is tracked skill by skill: accuracy first, then speed, with later checks on what has stayed sharp.
Start your Sharpen
Personalised problems delivered in short daily sessions, tailored to the test you are preparing for.
- Choose your goal, and the practice is weighted for that test
- A calibration that finds the level to start you at
- Daily personalised practice sessions
- Lessons and extra practice whenever you want
- Track progress over time