What is the ESAT? Overview & Test Format#
The Engineering and Science Admissions Test (ESAT) is the standardized pre-interview computer test run by University Admissions Tests UK (UAT-UK) via official computer-based testing centres. It replaced legacy paper tests (NSAA and ENGAA).
The assessment is mandatory for STEM undergraduate applicants to the University of Cambridge, Imperial College London, and University College London (UCL).
Unlike school exams that reward long multi-step written working, the ESAT tests your speed, non-calculator arithmetic, and pattern recognition under tight time pressure.
You take three 40-minute modules back-to-back (120 minutes total) at an official computer-based test centre.
The 5 ESAT Modules: Syllabus & Question Types#
The syllabus covers foundational UK AS-Level Mathematics and Sciences across five modules:
- Mathematics 1 (Compulsory for all candidates)
- Mathematics 2 (Elective)
- Physics (Elective)
- Chemistry (Elective)
- Biology (Elective)
Each module contains 27 multiple-choice questions to be solved in 40 minutes. Questions appear in three standard formats:
- Standard MCQs: Problem statement with 4 to 8 options (A–E or A–H).
- Multi-Statement Truth Matrices: Roman numerals (I, II, III) asking which combination is true.
- Table-Row Matching: Matching multiple unknown properties across columns simultaneously.
Mathematics 1 (Compulsory Baseline)
- Algebra & Functions: Indices, surds, quadratics, inequalities, and factor theorem.
- Coordinate Geometry: Lines, circles (), and tangents.
- Trigonometry: Sine/cosine rules, radian measure, exact values, and standard identities.
- Calculus: Polynomial differentiation, tangents/normals, stationary points, and definite integrals.
Elective Modules (Maths 2, Physics, Chemistry, Biology)
- Mathematics 2: Radians in calculus, composite/inverse functions, exponentials, logs, 3D vectors, and trig addition formulae.
- Physics: Mechanics (, SUVAT, momentum, energy), DC circuits (Ohm's law, potential dividers), wave superposition, and nuclear decay.
- Chemistry: Moles and stoichiometry, bonding (VSEPR), energetics (Hess cycles), kinetics, equilibria (), and functional groups.
- Biology: Cell biology, membranes, biological molecules, genetics, mitosis, and meiosis.
University & Course Prerequisite Matrix#
Universities specify exact module combinations:
Cambridge (Sitting 1 / October)
- Engineering: Maths 1 + Physics + Maths 2.
- Natural Sciences (Physical): Maths 1 + Physics + (Chemistry or Maths 2).
- Natural Sciences (Biological): Maths 1 + Biology + (Chemistry or Physics).
- Veterinary Medicine: Maths 1 + Chemistry + (Biology or Physics).
Imperial College London
- Aero, Mech, Civil & EEE: Maths 1 + Physics + Maths 2.
- Physics: Maths 1 + Physics + Maths 2.
- Chemical Engineering: Maths 1 + Chemistry + (Maths 2 or Physics).
University College London (UCL)
- Matches published entry requirements (Maths 1 + two relevant sciences).
Official Test Day Environment & Scratchpad Rules#
- Zero Calculators: No physical or onscreen calculators are allowed.
- Laminated Scratchpad: You receive a spiral booklet and a fine-tip dry-erase marker. Do not rub with fingers; raise your hand for a swap if full.
- Keyboard Shortcuts:
N(Next),P(Previous), andV(Flag for review) save seconds per question. - No Time Rollover: Finishing a module early does not add time to the next module.
Conquering the 90-Second Pacing Target#
The central hurdle is speed:
You have roughly 90 seconds per question. Standard school methods—writing full quadratic expansions and drawing large sketches—run out of time, leaving 6 to 8 questions unattempted.
Top candidates achieve 7.0+ through invariant spotting, distractor pruning, and 2-line scratchpad working. Start with our 75-Archetype Syllabus and take the 25-Question Diagnostic Sprint.