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

Revise Applied Maths by topic

Kinematics & Linear MotionProjectilesNewton's Laws, Forces & Connected ParticlesCollisions, Momentum & ImpulseCircular Motion & Simple Harmonic MotionStatics & EquilibriumRigid Body Dynamics & Moment of InertiaHydrostaticsRelative VelocityDifferential Equations & Resisted MotionDifference & Recurrence EquationsNetworks, Graphs & AlgorithmsVectors & Mathematical Modelling
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Questions come from the official State Examinations Commission papers. Every link opens the original PDF on examinations.ie.