Leaving Cert Applied Maths 2025

The 2025 Leaving Cert Applied Maths exam paper and official marking scheme, free below as direct PDF links from the State Examinations Commission archive.

Higher Level

Exam PaperMarking Scheme
What's in the 2025 Higher Level paper?
  • Q1 graph theory, adjacency matrix, conical pendulum, circular motion · 50 marks
  • Q2 differential equations, kinematics, calculus, air resistance · 50 marks
  • Q3 pulleys, friction, minimum spanning tree, prim's algorithm · 50 marks
  • Q4 collisions, coefficient of restitution, circular motion, energy conservation · 50 marks
  • Q5 inclined plane, friction, vectors, perpendicular vectors · 50 marks
  • Q6 dynamic programming, work and energy, elasticity, integration · 50 marks
  • Q7 dijkstra's algorithm, shortest path, projectiles, collisions · 50 marks
  • Q8 difference equations, differential equations, integration by parts, modelling · 50 marks
  • Q9 kinematics, displacement-time graph, oblique collisions, kinetic energy · 50 marks
  • Q10 difference equations, second-order recurrence, projectiles · 50 marks

Ordinary Level

Exam PaperMarking Scheme
What's in the 2025 Ordinary Level paper?
  • Q1 pulleys, newton's laws, friction, inclined plane · 50 marks
  • Q2 newton's laws, inclined plane, geometric sequence, difference equations · 50 marks
  • Q3 kinematics, suvat, average speed · 50 marks
  • Q4 graph theory, dijkstra's algorithm, minimum spanning tree, prim's algorithm · 50 marks
  • Q5 collisions, impulse, coefficient of restitution, modelling · 50 marks
  • Q6 projectiles, vectors, kinematics · 50 marks
  • Q7 circular motion, angular velocity, centripetal force, conical pendulum · 50 marks
  • Q8 vectors, dot product, difference equations, loan repayment · 50 marks
  • Q9 graph theory, minimum spanning tree, kruskal's algorithm, adjacency matrix · 50 marks
  • Q10 difference equations, second-order recurrence, kinematics, suvat · 50 marks
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All PDFs open on the State Examinations Commission archive (examinations.ie). ExamAI links to them; we don't host or alter them.