Leaving Cert maths is split across two papers, and if Paper 2 is the geometry and statistics side of the course, Paper 1 is where algebra, functions and calculus live. Knowing what sits on Paper 1 lets you plan your revision instead of trying to hold the whole course in your head at once. Here is what the paper covers, how it is marked, and where your hours are best spent.
What Paper 1 actually covers
Paper 1 is the more abstract, number-and-symbol half of the exam. Across both Higher and Ordinary Level, the topics that turn up on it are:
- Algebra: solving equations, manipulating expressions, inequalities. This is the backbone of the whole paper.
- Complex numbers: arithmetic, the complex plane, and at Higher Level, De Moivre's theorem.
- Sequences and series: arithmetic and geometric patterns, and their sums.
- Functions: reading, sketching and interpreting them, often tied to calculus.
- Calculus: differentiation and integration, which carry a large share of the marks.
- Financial maths: compound interest, loans, savings and present value.
- Proof by induction (Higher Level only) and the algebra of indices and logs.
If a topic feels heavy on symbols and light on diagrams, it usually belongs to Paper 1.
How the paper is built
Both papers follow the same shape. Paper 1 is worth 300 marks and you get two and a half hours. It is divided into Section A, Concepts and Skills, which has six shorter questions, and Section B, Contexts and Applications, which has three longer, real-world style questions. You answer all of them, so there is no picking and choosing your favourites.
You are allowed a calculator and the Formulae and Tables booklet, and getting comfortable with where things are in that booklet is a quiet way to save time under pressure. Paper 1 and Paper 2 count equally toward your final grade, so neither can be neglected.
The topics worth the most of your time
Not every topic pulls the same weight. Calculus has grown into one of the biggest earners on Paper 1, regularly showing up across several questions and often woven into functions. Algebra is the other giant, because it underpins almost everything else. A shaky grasp of algebra will quietly cost you marks in calculus, functions and financial maths too, since they all lean on it.
If you are aiming high, the smart order is algebra first, then calculus and functions, then the rest. Building that base is exactly the daily-habit approach we describe in how to actually get a H1: small, steady practice on the topics that appear most.
Paper 1 versus Paper 2 is a strong habit, not a hard rule
It is worth being honest about one thing. The split between the papers is a long-standing convention rather than a locked law of the exam. The State Examinations Commission examines the same syllabus across both papers, and topics have crossed over before. So treat "this is a Paper 1 topic" as a very reliable guide for planning, not a promise that a given idea can only appear in one place. The safest position is to know the whole course and simply expect the Paper 1 topics to weigh heaviest on the day you sit it.
This is the exam as it stands for students sitting it now and through 2028. A new maths specification is being phased in after that, with the first exams under it in 2029, so current fifth and sixth years are on the paper described here.
How to study for Paper 1
Start by pulling apart past papers and grouping questions by topic, so you can see how often algebra and calculus really appear. Then work little and often rather than in long, rare bursts: a few problems a day, with real attention paid to the ones you get wrong, because those show you the gaps the exam will find. Keep the Formulae and Tables booklet beside you so using it becomes second nature.
If you are still weighing up Higher against Ordinary, that decision shapes how deep you go on each topic, and we walk through it in higher or ordinary maths. And if the 25 bonus points are part of your plan, they only apply at Higher Level, which we break down in maths bonus points explained.
Paper 1 rewards students who know their algebra cold and treat calculus as a daily habit rather than a last-week panic. Map the topics, practise the heavy hitters most, and the paper stops feeling like a mystery and starts feeling like a plan.
H1 Owl turns each Paper 1 topic into short daily drills: algebra and calculus practice that comes back until it sticks, worked solutions that explain the step you missed, and mock questions with an indicative grade so you can watch your Paper 1 taking shape. Join the waitlist below and get access first.