This course prepares applicants for the ESAT modules in Mathematics 1 and Chemistry, with a clear emphasis on both understanding the underlying curriculum and performing well under timed multiple-choice conditions. It is designed for students applying to engineering, natural sciences, and related UK STEM degrees where ESAT performance matters in admissions.
You will begin with course orientation, ESAT structure, module selection, timing, scoring, and a pair of diagnostic assessments. These diagnostics are used to identify gaps in algebra, graphs, trigonometry, probability, atomic structure, bonding, calculations, energetics, equilibrium, organic chemistry, and data handling. From the start, you will build an error log and revision tracker so that mistakes turn into specific follow-up tasks rather than repeated weak points.
The Mathematics 1 strand develops the topics most often needed for ESAT quantitative reasoning. You will review number skills, fractions, indices, surds, algebraic manipulation, formula rearrangement, inequalities, proportion, units, functions, straight-line graphs, quadratics, polynomials, simultaneous equations, exponentials, logarithms, sequences, coordinate geometry, area and volume, circle geometry, trigonometry, probability, statistics, estimation, bounds, and mathematical modelling. Lessons focus on quick recognition of structure, efficient calculation, and checking methods that reduce careless errors.
The Chemistry strand covers the core pre-university chemistry needed for ESAT. You will work through particles and atomic structure, isotopes, electron configuration, periodic trends, moles and stoichiometry, concentration and titrations, bonding and intermolecular forces, molecular shapes and polarity, energetics, reaction profiles, calorimetry, rates of reaction, equilibrium, acids and alkalis, redox, analytical methods, percentage yield, atom economy, uncertainty, and key organic chemistry patterns including alkanes, alkenes, alcohols, haloalkanes, carboxylic acids, esters, polymers, and simple synthesis routes.
Throughout the course, concept teaching is paired with worked examples, guided practice, independent practice, common mistake analysis, and exam-style questions with full answer explanations. The aim is not only to know the content, but to recognise what a question is really testing, choose an efficient method, and avoid trap answers.
A major part of the course is ESAT technique. You will learn how to approach multiple-choice questions efficiently, estimate before calculating, eliminate distractors, use the calculator effectively, check answers rapidly, decide when to work forwards and when to work backwards from answer choices, and manage time across a full sitting. Mixed STEM lessons show how algebra supports chemistry calculations and how graphs, trends, approximation, and unit sense can be used across both modules.
- Diagnostic start: baseline assessments in Mathematics 1 and Chemistry, plus a personal study plan built from the results
- Curriculum coverage: full review of the Mathematics 1 and Chemistry knowledge required for ESAT-style questions
- Problem-solving focus: modelling, data interpretation, estimation, and multi-step reasoning in STEM contexts
- Exam technique: multiple-choice strategy, answer elimination, calculator workflow, mental arithmetic, and checking routines
- Practice structure: short quizzes, cumulative review, timed drills, mixed practice, and mock-style assessment
- Revision system: error-log and mistake-tracking methods to target repeated weaknesses efficiently
By the end of the course, students should be able to answer ESAT Mathematics 1 and Chemistry questions with stronger conceptual accuracy, better speed, and more consistent decision-making under pressure. They will also finish with a concrete revision record and a final weak-area plan for the run-up to test day.