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.
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:
| Module | Constant | Multiplier |
|---|---|---|
| Mathematics 1 | 3.9732 | 1.4358 |
| Biology | 3.6151 | 2.0865 |
| Chemistry | 4.1340 | 1.7689 |
| Physics | 4.4874 | 1.8034 |
| Mathematics 2 | 5.1806 | 1.9636 |
Score Statistics by Module
The following table presents score statistics from the 2024-25 testing cycle:
| Module | Candidates | Mean | SD | Min | Max |
|---|---|---|---|---|---|
| Mathematics 1 | 11,919 | 4.46 | 1.71 | 1.0 | 9.0 |
| Biology | 1,429 | 4.71 | 1.74 | 1.0 | 9.0 |
| Chemistry | 2,821 | 4.62 | 1.73 | 1.0 | 9.0 |
| Physics | 9,237 | 4.50 | 1.67 | 1.0 | 9.0 |
| Mathematics 2 | 10,040 | 4.52 | 1.67 | 1.0 | 9.0 |
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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