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Free · Leaving Cert Maths

How the exam is built.

Leaving Cert Maths feels overwhelming largely because students don't know its shape. Knowing what sits on which paper, and where the marks are, changes how you study for it.

Two papers, two sections each

There are two papers, each two hours thirty minutes, each worth 300 marks. Both split evenly into two sections:

Section A — Concepts & Skills · 150 marks

The mathematics itself, asked fairly directly. Solve this, differentiate that, prove the other. If you know your methods, this is where you bank marks.

Section B — Contexts & Applications · 150 marks

The same mathematics wrapped in a real situation, usually longer, usually with several parts building on each other. This is where students who have only learned procedures come unstuck — the maths is familiar, the dressing isn't.

Half your marks are in each section. That's worth sitting with, because most students spend well over half their preparation on Section A material.

The number of questions, and whether there's any choice within a section, has moved about in recent years. Check the front of the most recent paper for the exact instructions rather than relying on any website, this one included.

What's on each paper

Paper 1
Algebra, functions & calculus
The abstract half.
  • Algebra — including indices and logs at Higher
  • Functions
  • Differentiation
  • Integration — Higher only
  • Complex numbers
  • Sequences & series
  • Financial maths
  • Proof by induction — Higher only
  • Area & volume
Paper 2
Trigonometry, probability & statistics
The applied half.
  • Trigonometry
  • Probability
  • Statistics
  • The line
  • The circle
  • Geometry & enlargements

Where to put your time

If you're prioritising, prioritise the load-bearing topics:

Paper 1 — algebra, functions and calculus. Algebra especially, because it isn't only its own topic; it's the machinery every other Paper 1 question runs on. A student who is shaky on algebra is shaky on the whole paper, whatever the question says at the top.

Paper 2 — trigonometry, probability and statistics. Statistics rewards preparation more than almost anything else on either paper, and students routinely under-prepare it because it feels less like "real maths".

How to study it

Past papers, early and often. Not as a final test but as the way you learn the shapes questions come in.

Summary notes of methods, not of content. Write out the steps for each kind of question in a form you could follow under pressure. Maths recall is procedural — you're remembering what to do, not what something is.

Know the Formulae & Tables booklet. Not the formulas — the booklet. Knowing where things are in it, so you're not searching under time pressure, is worth marks on its own.

More on this in revising for Higher Level Maths, and on the grades themselves in the grading system.

If you'd rather not do it alone

That's what we're for: weekly maths grinds in Kilkenny and online, Higher and Ordinary, 3rd, 5th and 6th Year. Every session recorded, Mathslive notes included, and an extra grind a week in the final six weeks plus one before each of Paper 1 and Paper 2.

See the maths grinds Call