ESAT formula recall check

The ESAT specification lists these as relationships to know and apply.

ESAT formula recall · choose the form, then use it

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Relationships the ESAT content specification says to know and apply (UAT-UK)

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303 lessons, 4,369 original questions and 50 timed module papers.

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Questions people ask

Is there a formula sheet in the ESAT?

Not for these. The content specification lists them as relationships to know and be able to apply. It says formulae for the surface area and volume of spheres, pyramids and cones will be given if needed.

Which physics equations do I need for the ESAT?

The specification lists relationships such as speed, acceleration, v² − u² = 2as, F = ma, momentum and force as its rate of change, work, kinetic and potential energy, power, efficiency, pressure, density, wave speed, Ohm's law, electrical power, Hooke's law and the transformer ratio.

Do I need to know the sine rule for the ESAT?

For Mathematics 1, no: its specification says candidates are not expected to recall or use the sine or cosine rules, though it does expect exact values of sin, cos and tan for common angles. Mathematics 2 does include them: the sine and cosine rules and the area of a triangle as ½ab sin C (point MM4.1).

Sources and method

What it covers

26 relationships the ESAT content specification says candidates must know and be able to apply: 6 in Mathematics 1, 6 in Mathematics 2, 9 in Physics and 5 in Chemistry. Formulae the specification says will be given (spheres, pyramids, cones) are left out.

Sources

UAT-UK: ESAT Content Specification, Points cited on each relationship (for example P3.7d kinetic energy, M5.15 circle formulae, MM2.2 arithmetic series, C4.11 percentage yield). Official.

Method

Each relationship has its specification point, for example P3.7d for kinetic energy and C4.11 for percentage yield.
First you choose the right form from four: the right one and three common misrecalls, such as a lost half, a swapped ratio or a missing square.
Then you use it on an original question. Each wrong answer is exactly what one of the misrecalled forms gives, so a miss shows which slip you made.
Recognised means the right form first time and the right answer. Rebuilt means you needed to see the form but then used it correctly. Missed means a wrong answer.
Rebuilt and missed relationships each get a fresh question with new numbers. Every answer key is computed from the relationship and checked by hand.

Uncertainty and limits

A short check samples recall on one question per relationship; it is not a full test of the topic.
The specification decides what must be known; exam questions can combine several relationships.

Dates and versions

ESAT relationships to know and apply, by module: data version 2026-09-29.1, checked 29 September 2026.
Page last changed 29 September 2026.

What the answer means

Recognised relationships are ready to use under time pressure; rebuilt and missed ones need practice. It cannot predict an ESAT score.