SELECT * FROM ScoresTable WHERE Score =
(SELECT MAX(Score) FROM ScoresTable AS st WHERE st.Date = ScoresTable.Date)
Is there a name to describe
This is a correlated sub-query.
(It is a "nested" query - this is very non-technical term though)
The inner query takes values from the outer-query (WHERE st.Date = ScoresTable.Date) thus it is evaluated once for each row in the outer query.
There is also a non-correlated form in which the inner query is independent as as such is only executed once.
e.g.
SELECT * FROM ScoresTable WHERE Score =
(SELECT MAX(Score) FROM Scores)
There is nothing wrong with using subqueries, except where they are not needed :)
Your statement may be rewritable as an aggregate function depending on what columns you require in your select statement.
SELECT Max(score), Date FROM ScoresTable
Group By Date