Leaving Certificate Higher Level Applied Maths Complete Revision Course

By Sarah Categories: Applied Maths
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About Course

Master the Leaving Certificate Higher Level Applied Maths course with clear, structured lessons designed to support you from the beginning of 5th Year right through to exam day.

This course is organised by strand and topic, making it easy to learn new material, revisit challenging concepts or focus your revision before exams.

Inside the course you’ll find:

  • Step-by-step video lessons covering the full Higher Level course
  • Topic-by-topic revision organised exactly as you study it
  • Past examination questions grouped by topic
  • Fully worked video solutions to exam questions
  • Additional exam questions from the old course for extra practice
  • Additional resources and guidance to build confidence and improve exam performance

Whether you are learning a topic for the first time, catching up after missing class, or aiming for an H1, this course gives you everything you need in one organised place.

 

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What Will You Learn?

  • Revise the key topics on the Leaving Certificate Higher Level Applied Mathematics course.
  • Develop a deeper understanding of mathematical concepts and problem-solving techniques.
  • Work through past examination questions with detailed, step-by-step solutions.
  • Learn how to approach unfamiliar questions and apply mathematical methods confidently.
  • Identify common mistakes and improve examination technique.
  • Build confidence and prepare effectively for the Leaving Certificate Applied Mathematics examination.

Course Content

TOPIC 1: Mathematical Modelling & the Modelling Project
Strand 1: Mathematical Modelling. Develop your understanding of mathematical modelling and how it underpins the entire Applied Maths course. Explore the modelling process and get practical guidance for approaching the Mathematical Modelling Project. Assessment Focus: The Mathematical Modelling Project is worth 100 marks, or 20% of the overall Leaving Certificate Applied Maths grade. Mathematical modelling also underpins the written examination and is applied across all four strands.

  • Lesson 1.1 – Mathematical Modelling Project Tips
    53:49

TOPIC 2: Networks & Graphs
Strand 2: Mathematical Modelling with Networks and Graphs Develop the skills needed to solve problems involving networks, graphs, algorithms and scheduling. This section covers the key techniques and approaches needed for Leaving Certificate Higher Level Applied Maths. Recent Exam Focus: Networks & Graphs has featured on every Higher Level paper from 2023–2026. Including Minimum Spanning Trees, this area has accounted for approximately 35 marks per paper on average, equivalent to about 9% of the 400 marks answered.

TOPIC 3: Shortest & Optimal Paths
Strand 2: Mathematical Modelling with Networks and Graphs. Explore algorithms for finding shortest and optimal routes through networks. You will learn how to select and apply appropriate methods to solve different types of network optimisation problems. Recent Exam Focus: Shortest & Optimal Paths has featured on every Higher Level paper from 2023–2026, through Dijkstra's Algorithm and/or Dynamic Programming. It has accounted for approximately 30 marks per paper on average, equivalent to about 7% of the 400 marks answered.

TOPIC 4: Activity Networks & Scheduling
Strand 2: Mathematical Modelling with Networks and Graphs Learn how activity networks are used to model, plan and analyse projects. You will develop the skills needed to construct activity networks and solve scheduling problems. Recent Exam Focus: Activity Networks & Scheduling appeared in 3 of the 4 Higher Level papers from 2023–2026, accounting for approximately 35 marks per paper on average across the four years. When examined, it has often represented a substantial part of a question or a full question.

TOPIC 5: Vectors & Units
Strand 3: Mathematically Modelling the Physical World – Kinematics and Dynamics. Develop the vector and dimensional analysis skills used throughout Applied Maths. Learn how to work with vectors, the dot product, units and resolving vectors in context. Recent Exam Focus: Vectors and dimensional analysis have appeared in 3 of the 4 Higher Level papers from 2023–2026. Direct questions have accounted for approximately 15 marks per paper on average, but these skills also support work across mechanics and other areas of the course.

TOPIC 6: Uniform Acceleration
Strand 3: Mathematically Modelling the Physical World – Kinematics and Dynamics Build a strong understanding of motion with constant acceleration. You will learn how to analyse horizontal and vertical motion and interpret velocity-time graphs. Recent Exam Focus: Uniform Acceleration has featured on every Higher Level paper from 2023–2026, accounting for approximately 30 marks per paper on average, or about 8% of the 400 marks answered. It also frequently appears alongside other mechanics topics.

TOPIC 7: Projectiles
Strand 3: Mathematically Modelling the Physical World – Kinematics and Dynamics. Develop the skills needed to model and solve projectile motion problems, progressing from the basic principles to more challenging Higher Level applications. Recent Exam Focus: Projectiles has featured on every Higher Level paper from 2023–2026, accounting for approximately 38 marks per paper on average, or about 9% of the 400 marks answered. It commonly appears as approximately half a question, although it has also accounted for a full question or appeared in more than one question.

TOPIC 8: Forces & Connected Particles
Strand 3: Mathematically Modelling the Physical World – Kinematics and Dynamics. Learn how to analyse forces and the motion of connected systems. Explore connected particles, pulley systems, inclined planes, work, energy and power, Hooke’s Law and force-based models. Recent Exam Focus: Forces & Connected Particles has featured on every Higher Level paper from 2023–2026, accounting for approximately 50 marks per paper on average, equivalent to a full question or 12.5% of the 400 marks answered. Questions may also connect this area with energy, Hooke's Law and differential equations.

TOPIC 9: Circular Motion
Strand 3: Mathematically Modelling the Physical World – Kinematics and Dynamics. Develop your understanding of objects moving in circular paths. Progress from the fundamentals of horizontal circular motion to more challenging horizontal and vertical circular motion problems. Recent Exam Focus: Circular Motion has featured on every Higher Level paper from 2023–2026, accounting for approximately 50 marks per paper on average, equivalent to a full question or about 13% of the 400 marks answered. Both horizontal and vertical circular motion have featured.

TOPIC 10: Impacts & Collisions
Strand 3: Mathematically Modelling the Physical World – Kinematics and Dynamics. Learn how to analyse impacts and collisions. Progress from single-body impacts and direct collisions to more challenging oblique collision problems. Recent Exam Focus: Impacts & Collisions has featured on every Higher Level paper from 2023–2026, accounting for approximately 44 marks per paper on average, or about 11% of the 400 marks answered. Questions have included single-body impacts, direct collisions and oblique collisions.

TOPIC 11: Difference Equations
Strand 4: Mathematically Modelling a Changing World. Learn how difference equations can be used to model situations that change in discrete steps. Progress from first-order difference equations to more challenging second-order homogeneous and inhomogeneous equations. Recent Exam Focus: Difference Equations is one of the most heavily examined areas of the course. It has featured on every Higher Level paper from 2023–2026, accounting for approximately 78 available marks per paper on average, equivalent to almost 20% of the 400 marks answered. In 2026, Difference Equations appeared across three separate questions, making it impossible to avoid completely using the two-question choice.

TOPIC 12: Differential Equations
Strand 4: Mathematically Modelling a Changing World. Develop the calculus and differential equation skills needed to model continuous change. Learn the required integration techniques before forming, solving and applying differential equations in physical and real-life contexts. Recent Exam Focus: Differential Equations is the most heavily examined topic in the 2023–2026 papers, accounting for approximately 94 available marks per paper on average, equivalent to about 23% of the 400 marks answered. It appeared across multiple questions in every year and, in 2023, 2024 and 2026, appeared in at least three separate questions, meaning it could not be completely avoided using the two-question choice

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