sat-score-projection

Estimate a digital SAT total scaled score (400–1600) from the number of raw correct answers in the Reading & Writing and Math sections. Pure, dependency-free Rust math — the same engine behind the ExamScoreCalc score projector.

Important: this is an estimate, not a prediction

The digital SAT is section-adaptive: the difficulty (and scoring weight) of each section's second module depends on first-module performance. The College Board does not publish exact raw-to-scaled conversion tables, so there is no single deterministic mapping from "questions correct" to a scaled score — the same raw count can yield different scaled scores depending on module routing.

This crate uses a deliberately transparent linear model that approximates the published score scale (each section 200–800; total 400–1600) across the full raw range. It is meant for orientation and "what-if" planning, not as a prediction of any individual's official score. Treat every output as ± a few tens of points.

Usage

use sat_score_projection::{section_score, digital_sat_total};

let rw   = section_score(40, 54);          // ~40 of 54 Reading & Writing correct
let math = section_score(30, 44);          // ~30 of 44 Math correct
let total = digital_sat_total(40, 30);     // total 400–1600 estimate

assert!((200.0..=800.0).contains(&rw));
assert!((400.0..=1600.0).contains(&total));

Live calculator

For an interactive version with the standard digital-SAT item counts built in, see the SAT score projector at ExamScoreCalc.

If you need a published conversion rather than this approximation, the released digital-SAT practice forms each ship their own raw-to-scaled table. ExamScoreCalc runs the table belonging to the form you sat, prints every row of it on the page rather than hiding the lookup, and returns the score range College Board publishes instead of picking one number inside it — see the digital SAT score calculator.

License: MIT