How to use the score gain estimator
This page estimates how much your score might move if you add more study hours. It runs in the opposite direction from a target-score planner: instead of asking how many hours a goal needs, you enter the hours you plan to add and read off an estimated gain. Supply your current score, the maximum score, the points you gained in a past stretch with the hours it took, the extra hours you plan to add, and a diminishing-returns exponent.
The model assumes cumulative gain rises with cumulative study hours raised to an exponent. The coefficient is fitted to the past result you entered, then the extra gain is the cumulative gain at the new hour total minus the cumulative gain so far. An exponent of 1.00 makes the relationship strictly linear, and lower values make later hours add less. If the estimate would pass the maximum score, it is capped there and the page says so.
There is no validated constant linking study hours to score gain. This is not a prediction; it is your own past result extended along an assumed curve, and it ignores changes in test difficulty, harder material and plateau stretches. It does not work backwards from a target score to a required number of hours.
Frequently asked questions
No. It extends the slope of the past result you entered, bent by the diminishing-returns exponent you chose. There is no validated constant linking study hours to score gain.
An exponent of 1.00 makes the gain strictly proportional to hours, and lower values make each later hour add less. There is no evidence-based standard value, so it is an assumption you supply.
Past gain must be 0 or higher. A declining stretch cannot be extended by this model, so enter 0 or use a period in which your score rose.