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ESAT Paper 1 Worked Solutions: Your Baseline

Sit Paper 1 first, before you revise: five questions in each module, each worked in full, and a score that Papers 2 to 4 are measured against.

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This is a sample: five questions of each module, and a full module runs to 27, written for one school at a time. Full timed papers, 27 questions a module, are in ESAT practice, free to start.

Available Subject Modules

Select a module below to view step-by-step worked solutions and timing benchmarks:

Mathematics

Surds, similar shapes and scale factors, parallel and perpendicular lines, completing the square, and the reciprocal graph. 5 questions, worked in full.

Difficulty: ★★★☆☆ Time: 7 min 24 s

View Solutions

Advanced Mathematics

Indices, surds, the discriminant, where a line meets a curve, and sequences from a recurrence. 5 questions, worked in full.

Difficulty: ★★★☆☆ Time: 7 min 24 s

View Solutions

Physics

A circuit with diodes, the force on a current in a magnetic field, average speed, weight and drag, and wave terms. 5 questions, worked in full.

Difficulty: ★★☆☆☆ Time: 7 min 24 s

View Solutions

Chemistry

Protons, neutrons and electrons, atomic and mass number, the rate of a reaction, and calorimetry. 5 questions, worked in full.

Difficulty: ★★★☆☆ Time: 7 min 24 s

View Solutions

Biology

The cell cycle, aerobic and anaerobic respiration, and the motor neurones that drive breathing. 5 questions, worked in full.

Difficulty: ★★★☆☆ Time: 7 min 24 s

View Solutions

How to use Paper 1

Start here. Sit it before you revise, and keep your score for each module.

More

Papers 1 to 4 ask the same skills, in the same order, with new numbers and new settings. That makes your Paper 1 score a baseline: question 3 of any later paper tests the skill question 3 tests here, so you can see skill by skill what has improved.

Every one of the 25 questions published here carries a full worked solution: five from each of the five modules. The rest of each module 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 practice questions by topic are complete throughout. Why we publish the gap rather than quietly close it is explained in our Quality Assurance standards.

Where to go next

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 with a class needs a paper written for its own candidates and used nowhere else: a commissioned pack, which comes with mark schemes and a syllabus reference.

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