Admissions Test Preparation · Paper 3
ESAT Paper 3 Worked Solutions
Access high-quality worked solutions, concept breakdowns, and timing strategies for the ESAT Paper 3 modules. Redesigned to help Oxford and Cambridge applicants maximize test-day speed.
Not sure where to start? 11 places to go
Start with your question
Why visitors arrive: Seeking ESAT Paper 3 worked solutions and mock papers
Your question: What worked solutions are available for ESAT Paper 3?
You may also be asking
- Are there solutions for Advanced Maths?
- How can I book tutoring for ESAT?
Where to go next
- Mathematics worked solutions: Full step-by-step solutions for the Mathematics section
- Free ESAT Mock Papers, Complete Pack: What exists by way of ESAT past papers, and a full five-module mock with worked solutions to sit instead
- Advanced Mathematics worked solutions: Harder multi-step problems with method commentary
- Physics worked solutions: Physics section solved from first principles
- Chemistry worked solutions: Chemistry section with reasoning for every option
- Biology worked solutions: Biology section with concise explanations
- Return to ESAT overview hub: All mock papers and preparation guidance in one place
- ESAT Paper 4 worked solutions: Another full paper, all five modules
- Sit a sample module against the clock: four sample papers, five worked questions in every module, with a timed test at the top of each page
- Practice sets listed by specification sub-topic: Each practice set hub lists the specification sub-topic every one of its questions was written against
- Admissions tutoring consultation: One-to-one ESAT preparation with Lucas
Available Subject Modules
Select a module below to view step-by-step worked solutions and timing benchmarks:
Mathematics
Algebra, geometry, number and proportion, inequalities, and probability. 5 sample questions, worked in full. A full module runs to 27 questions, written for one school.
Advanced Mathematics
Trigonometry, algebra and quadratics, logarithms and exponentials, sequences, and calculus. 5 sample questions, worked in full. A full module runs to 27 questions, written for one school.
Physics
Forces, momentum, work, energy and power, with waves and electricity. 5 sample questions, worked in full. A full module runs to 27 questions, written for one school.
Chemistry
Atomic structure, quantitative chemistry, energetics, redox, and reaction rates. 5 sample questions, worked in full. A full module runs to 27 questions, written for one school.
Biology
Plant biology, genetics and inheritance, ecology, and human biology. 5 sample questions, worked in full. A full module runs to 27 questions, written for one school.
What is in Paper 3
Every one of the 25 questions published here carries a full worked solution: five from each of the five modules, chosen so that nothing on this page is incomplete. The rest of the paper is written for one school at a time and is not published, which is what makes a commissioned pack worth commissioning.
If you want practice with no gaps in it at all, the ten practice sets are complete throughout. Why we publish the gap rather than quietly close it is explained in our Quality Assurance standards.
Where to go next
- Sit a subject against the clock: each subject page of the four full papers opens with a timed test of every question on the page, the same shape as one sitting of the real test.
- Recognise the method before you calculate: the ESAT Shortcut Library holds 105 methods, each linked to every question that drills it.
- Check what is actually examinable: the specification tables count every assessable sub-topic from the official document.
- Revise formulas and exam tactics: the ESAT Essentials guide.
- Work one sub-topic at a time: each practice set hub lists the specification sub-topic every one of its questions was written against.
- Teaching a cohort rather than sitting the test? A free ESAT sample pack holds 10 of the 27 questions in every module, with the worked solutions and mark schemes in full, and unseen packs are written for individual schools.
For individual preparation. The free question sets on this site are for a candidate working on their own. They are not licensed for a school, college or tutoring provider to print and run with a class, to republish or resell, or to fold into a course sold by another provider. A school sitting a timed mock is welcome to the free sample pack, which comes with mark schemes and a syllabus reference, and a paper written for your own candidates and used nowhere else is a commissioned pack.
Where to go from here
You have worked a full module. Everything below is free and these are the steps that follow it.
- Put this into a dated plan - Every ESAT page on this site, sequenced backwards from the October sitting
- Work a practice set in another subject - Ten sets of five questions, two in every module, each with a full worked solution
- How every question on this site is checked - What is verified by hand, what is machine-checked, and how a mistake is reported and fixed
- See what can actually be checked about this tutor - What is published, counted from the pages themselves, and the credentials behind it
- Join the ESAT preparation list - One email a week from June to October, and nothing else
- Enquire about one-to-one preparation - For candidates who want the gap closed rather than mapped
- Free sample pack for schools - Ten questions in every module with mark schemes and a syllabus reference, ready to sit as a timed mock
One-to-one places are limited and taken by application, not by the hour. This site is independent of UAT-UK, which administers the ESAT, and of every university that uses it; nothing here is endorsed by them, and the official specification and past papers remain the final word.