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ESAT

ESAT Scoring Explained: How Each Module is Scored and What Results Mean

How ESAT scoring works, including the Rasch IRT model, scaling constants, and what scores mean.

MioMath Team
2025-03-05
10 min read
esatscoringresultsscores

How ESAT Scoring Works

The ESAT uses a Rasch Item Response Theory (IRT) model to score each module independently. Scores are post-equated to ensure comparability across test administrations. Each module is scaled to a range of 1.0 to 9.0, reported to one decimal place. There is no aggregate or total score; modules are scored and reported separately.

The Rasch IRT Model

The Rasch model converts raw question responses into an ability estimate (theta). This theta is then transformed into the 1.0–9.0 scale using module-specific scaling constants. The scaling is designed so that the median theta maps to a scaled score of 4.5, and the 90th percentile theta maps to a scaled score of 7.0. There is no penalty for incorrect answers, so candidates should attempt every question.

Scaling Constants

Each module has its own scaling constant and multiplier, as shown below:

ModuleConstantMultiplier
Mathematics 13.97321.4358
Biology3.61512.0865
Chemistry4.13401.7689
Physics4.48741.8034
Mathematics 25.18061.9636

Score Statistics by Module

The following table presents score statistics from the 2024-25 testing cycle:

ModuleCandidatesMeanSDMinMax
Mathematics 111,9194.461.711.09.0
Biology1,4294.711.741.09.0
Chemistry2,8214.621.731.09.0
Physics9,2374.501.671.09.0
Mathematics 210,0404.521.671.09.0

October vs January Sittings

The ESAT is offered in both October and January. For Mathematics 1, 9,141 candidates sat in October and 2,778 in January. For Mathematics 2, 7,303 sat in October and 2,737 in January. For Physics, 6,853 sat in October and 2,384 in January. Cambridge requires candidates to sit in October, which accounts for the larger October cohort sizes.

No Aggregate Score

ESAT modules are scored independently. There is no aggregate or composite total score. Universities receive individual module scores, and each module is considered on its own merits. This means your performance in one module does not affect the scaled score of another.

What Constitutes a Competitive Score?

Given that the 90th percentile maps to a scaled score of approximately 7.0, scores at or above 7.0 are generally considered competitive. The mean scores cluster around 4.5 to 4.7 across modules, so candidates scoring well above the mean are likely to stand out. However, competitiveness depends on the specific course and university.

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