The total maximum number of points a student can achieve in the Irish Leaving Certificate is 625 points. This total is calculated by combining the points from the student's six best subjects. Each subject can earn up to 100 points at Higher Level, and there is an additional bonus of 25 points for Higher Level Mathematics if the student scores an H6 grade or higher in that subject

. To summarize:

• Maximum points per subject at Higher Level: 100
• Number of subjects counted: 6
• Bonus points for Higher Level Mathematics (if H6 or above): 25
• Maximum total points possible: 6 × 100 + 25 = 625 points

This points system is used for university admissions and is based on the grades achieved in the exams.