# Leaving Cert Applied Maths 2026

> The 2026 Leaving Cert Applied Maths exam paper and official marking scheme for Higher and Ordinary level. Questions come from the official State Examinations Commission papers; every PDF link opens the original on examinations.ie.

Canonical: https://examai.ie/past-papers/leaving-cert/applied-maths/2026

## Higher Level

- [Exam Paper](https://www.examinations.ie/archive/exampapers/2026/LC020ALP000EV.pdf)
- [Marking Scheme](https://www.examinations.ie/archive/markingschemes/2026/LC020ALP000EV.pdf)

### What's in the 2026 Higher Level paper?

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

## Ordinary Level

- [Exam Paper](https://www.examinations.ie/archive/exampapers/2026/LC020GLP000EV.pdf)
- [Marking Scheme](https://www.examinations.ie/archive/markingschemes/2026/LC020GLP000EV.pdf)

### What's in the 2026 Ordinary Level paper?

| Question | Topics | Marks |
| --- | --- | --- |
| Q1 | matrix multiplication, collisions, coefficient of restitution, impulse | 50 |
| Q2 | critical path analysis, scheduling, gantt chart | 50 |
| Q3 | connected particles, friction, pulleys, newton's laws | 50 |
| Q4 | kinematics, suvat, velocity-time graph | 50 |
| Q5 | projectiles, vectors | 50 |
| Q6 | energy conservation, conical pendulum, circular motion, angular velocity | 50 |
| Q7 | vectors, dot product, angle between vectors | 50 |
| Q8 | first-order difference equations, second-order difference equations, characteristic equation, difference equations | 50 |
| Q9 | minimum spanning tree, dijkstra's algorithm, shortest path, graph theory | 50 |
| Q10 | dynamic programming, bellman's principle, dimensional analysis | 50 |

## Revise Applied Maths by topic

- [Kinematics & Linear Motion](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/kinematics-linear-motion)
- [Projectiles](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/projectiles)
- [Newton's Laws, Forces & Connected Particles](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/forces-and-connected-particles)
- [Collisions, Momentum & Impulse](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/collisions-momentum-impulse)
- [Circular Motion & Simple Harmonic Motion](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/circular-motion-shm)
- [Statics & Equilibrium](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/statics-equilibrium)
- [Rigid Body Dynamics & Moment of Inertia](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/rigid-body-dynamics)
- [Hydrostatics](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/hydrostatics)
- [Relative Velocity](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/relative-velocity)
- [Differential Equations & Resisted Motion](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/differential-equations)
- [Difference & Recurrence Equations](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/difference-recurrence-equations)
- [Networks, Graphs & Algorithms](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/networks-graphs-algorithms)
- [Vectors & Mathematical Modelling](https://examai.ie/past-papers/leaving-cert/applied-maths/topic/vectors-and-modelling)

## Related

- [Applied Maths 2025](https://examai.ie/past-papers/leaving-cert/applied-maths/2025)
- [All Applied Maths years](https://examai.ie/past-papers/leaving-cert/applied-maths)
