SELECT DatePart(yy,ExamDate), SUM(TotalExamsThisYear), SUM(TotalExamsThisYearOfTypeX) 
FROM
(SELECT ExamDate, COUNT(*) as TotalExamsThisYear, 
   (SELECT COUNT(*) as TotalExamsThisYearOfTypeX 
    FROM Exams WHERE Exams.ExamDate=e.ExamsDate AND Exams.ExamType=X)
 FROM Exams) AS Totals
GROUP BY DatePart(yy,ExamDate)