A student at Intermediate School in Killorglin, Co Kerry achieved nine A1s in this year's exam.
13 students got eight A1s throughout the country.
Three students at CBC Sydney Hill in Cork got eight A1s and four schools in Dublin have students who also got eight A1s.
After years of falling numbers, there was a small increase - at 55,000 - in the number of candidates who sat the Leaving Certificate exam this year.
There have been renewed calls for measures to tackle low attainment and student interest in maths and science subjects.
Industry groups and others have focused on continued high failure rates in maths. This year 12% failed the subject at ordinary level.
They also point to high failure rates in science subjects saying that the drop in the number of people studying physics is an added cause for concern.
Minister for Education Batt O'Keeffe has confirmed a new maths syllabus will be introduced in September in 24 schools on a trial basis.
The National Council for Curriculum and Assessment hopes it will increase the numbers taking the higher level course from 17% to 30%.
But the employers group IBEC has called for the introduction of bonus points for higher level maths to boost the subject's appeal in the short-term.
