Leaving Cert Applied Maths 2026

The 2026 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 2026 Higher Level paper?
  • Q1 minimum spanning tree, dijkstra's algorithm, first-order difference equations, inhomogeneous · 50 marks
  • Q2 activity dependencies, scheduling networks, friction, differential equations · 50 marks
  • Q3 pulleys, connected particles, coalescing particles, uniform acceleration · 50 marks
  • Q4 direct collisions, oblique collisions, coefficient of restitution, impulse · 50 marks
  • Q5 circular motion, centripetal force, vertical circle, energy conservation · 50 marks
  • Q6 differential equations, separable equations, vertical motion under gravity, kinematics · 50 marks
  • Q7 first-order difference equations, differential equations, exponential decay, modelling · 50 marks
  • Q8 uniform acceleration, first-order difference equations, second-order difference equations, inhomogeneous recurrence · 50 marks
  • Q9 integration by parts, calculus of motion, projectiles, perpendicular vectors · 50 marks
  • Q10 critical path analysis, gantt chart, scheduling networks · 50 marks

Ordinary Level

Exam PaperMarking Scheme
What's in the 2026 Ordinary Level paper?
  • Q1 matrix multiplication, collisions, coefficient of restitution, impulse · 50 marks
  • Q2 critical path analysis, scheduling, gantt chart · 50 marks
  • Q3 connected particles, friction, pulleys, newton's laws · 50 marks
  • Q4 kinematics, suvat, velocity-time graph · 50 marks
  • Q5 projectiles, vectors · 50 marks
  • Q6 energy conservation, conical pendulum, circular motion, angular velocity · 50 marks
  • Q7 vectors, dot product, angle between vectors · 50 marks
  • Q8 first-order difference equations, second-order difference equations, characteristic equation, difference equations · 50 marks
  • Q9 minimum spanning tree, dijkstra's algorithm, shortest path, graph theory · 50 marks
  • Q10 dynamic programming, bellman's principle, dimensional analysis · 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.