NSAA to ESAT Score Converter

It converts a raw mark from a past NSAA, ENGAA or TMUA paper using the official Cambridge conversion table for that exam, year and section. Those tables, published year by year, map each raw mark onto the 1.0–9.0 scaled score used on that sitting. We look up your mark in the matching table; we do not invent conversion numbers. For NSAA and ENGAA we then place that scaled score on the official ESAT distribution for the equivalent module (for example NSAA Mathematics → ESAT Mathematics 1), interpolating between published score points to estimate your percentile. For TMUA before 2024 we use that year's official raw-to-scaled table, then match your percentile onto the post-2024 TMUA distribution so you can compare with today's scale. If a year's table is missing for a section, we fall back to the nearest published year and flag it in the results.

The conversion for a given past paper is as reliable as Cambridge's published tables: for that year and section, the scaled score we show is the official mapping from that sitting. What you cannot treat as official is using that figure as your ESAT or TMUA result for an application. Today's papers are different tests, scored on different cohorts, and TMUA from 2024 uses an IRT model rather than a published raw-mark table. Use this to interpret mock performance against the published historical scale, not as a score a university will accept.

ESAT module results are reported on a 1.0 to 9.0 scale to one decimal place. You receive a separate score for each module you sit.

The scale depends on the ability distribution of the cohort and the test version. That is also why official sample tests do not award a scaled score.

Both. Use it after timed sets to understand your approximate position, then use the calibration test to decide what to practise next.

From 2024, TMUA administration moved to UAT-UK and Pearson VUE. Candidates sit different test versions on different dates, and each person's score is calculated with a Rasch IRT statistical model rather than a single published raw-marks-to-score table. The 1.0–9.0 scale was also recalibrated: a typical score dropped from around 5.1 to around 3.8, and university grade boundaries moved down by a similar amount. The test did not suddenly get harder; the ruler changed.

UAT-UK does not publish raw-to-scaled conversion tables for the IRT era. For 2024 and later papers, enter the scaled score printed on your score report (1.0–9.0). We place that score on the current official distribution to estimate your percentile.

We look up your raw mark in the official conversion table for that exam year and section, stored in our database from Cambridge's published data. Each table maps raw scores to the 1.0–9.0 scaled score used on that paper. If a year's table is missing for a section, we use the nearest available year and flag it in the results.

For TMUA 2023 and earlier, we use the same official raw-to-scaled tables stored in our database. Enter separate marks for Mathematical Thinking and Mathematical Reasoning together, or one combined overall score across both papers, but not a mix of those modes, because they use different scoring units.

For pre-2024 TMUA papers we show two figures: the score you would actually have received that year, and an estimate of the equivalent on today's scale. The estimate works by finding your percentile rank on the old TMUA distribution, then reading off the score with the same percentile on the post-2024 distribution. It is a percentile-matched proxy, not an official UAT-UK conversion. Comparisons are most reliable at 7.0+; the middle band (roughly 4.0–6.5 on the new scale) is less stable.

We use official cumulative score distributions: CSV tables of scaled score versus "% of candidates at or below this score". Your scaled score is interpolated between the nearest published points to estimate your percentile (e.g. 72.4th percentile means you scored at or above 27.6% of candidates). NSAA and ENGAA use subject-specific ESAT distributions; TMUA uses separate pre- and post-2024 cumulative tables.

Raw-to-scaled conversion tables are maintained by ESAT CAMP from Cambridge Assessment admissions data. Percentile distributions come from official ESAT and TMUA cumulative tables. We do not invent conversion numbers. Gaps are filled from the nearest reliable year when necessary.

No. This tool is a historical proxy for understanding how past papers relate to today's admissions landscape. It is useful for comparing mock performance and calibrating expectations, but it is not a score Cambridge, UAT-UK, or any university will use for an application.