The Leaving Certificate is a crucial exam that many people in Ireland struggle with, and perhaps one of the most frightening aspects of the Leaving Cert is the maths exam. But Applied Maths as well. If you're doing Applied Maths, you're probably comfortable with maths. That's great!

However, Applied Maths can be rather confusing at times, and we know that. But never fear! This site is here to help you overcome this difficulty with ease. We hope that you find what's here to be helpful. Have fun and explore!

(And maybe learn something)

The Exam

Prepare for the exam with this short exam guide

The Exam is broken up as shown.





Each Question

H1 Standard

Getting the Points

There are five key thing that work for most people when aiming for a H1.

If you're looking for the H1, great! This is how you'll get it. If you're not, you can still get the best grade you can by following the simple rules outlined to the right.

Study (30%): This is where a good chunk of your points will come from. Without study, and taking time to learn the necessary formulas, and learn the methods of completing questions, you won't get what you're looking for. Around 30% of you're score is reflective of your core study. Hours count!

Past Exam Questions: You can include this as study, for it plays a massive role in the score you'll get in the summer. Every time you complete a question (or better still, a paper), you are familiarising yourself with the paper a bit more, and are becoming more comfortable with it. You also start to understand the thinking process you need to answer exam questions. It's ok to complete past exam questions using your notes or textbooks. Every time you do, you reinforce the concepts you need.

Learning in the Classroom: If you focus on it the very first time you learn it, the material becomes a whole lot easier. It's a fact. Our brains are wired to learn things through consistancy and repetition. If you pick up only some of the topic in class, and then read something you missed out on at home, it can throw you. The consistency is not there. The difference between a H1 and a H2 can be as simple as 'Did you listen in class?'.

Cramming: On it's own, it's not that effective, but cramming does work. Spending two hours the day (try not to do it at night) is really good for enforcing concepts and touching up on stuff you're not so sure on.

Skimming: When you skim over a topic or notes three times in a row, then write down on a black page what you learned, you'd be amazed. Skimming over a topic before bogging down to study can be really good for getting a clear idea about everything before getting down to the nitty-gritty details (but this isn't enough on its own).

Learning in the Classroom




Past Exam Questions






The Ten Questions

  1. QUESTION 1 - This question deals with particle motion. It covers displacement, velocity as vectors and applications of the vector addition law. You need to be able to describe a vector in terms of  a unit perpendicular vector. It also looks at elementary treatment of relative motion.
  2. QUESTION 2 - This looks at Newton’s laws, what  mass, momentum and acceleration are, and how they act. It looks at forces as vectors and the different units and dimensions. 
  3. QUESTION 3 - Motion in a straight line under uniform acceleration e.g. motion under gravity, motion on smooth and rough inclined planes. Work, potential energy, kinetic energy, power. Application of energy conservation. Motion of connected particles. 
  4. QUESTION 4 - This looks specifically at the equilibrium of a particle under concurrent forces, including friction.
  5. QUESTION 5 - This questions deals with the centre of gravity of simple bodies and systems of particles. It looks at moments and couples and the equilibrium of a rigid body or bodies (multiple bodies on the higher level course only).
  6. QUESTION 6 - This looks at liquid pressure and Archimede’s Principle (Law of Buoyancy). It also looks at thrust on a horizontal surfaces.
  7. QUESTION 7 - This looks at projectiles. For the higher level course it also looks at projectiles on inclined plane.
  8. QUESTION 8 - Question 8 deals with angular velocity. It deals with uniform motion in a circle without gravitational forces, the conical pendulum and circular orbits.
  9. QUESTION 9 - This covers the conservation of momentum, collisions both direct and (higher level) oblique. It looks at elastic (0 < e ≤ 1) and inelastic (e = o) collisions.
  10. QUESTION 10 - Higher Level Only - This looks at simple harmonic motion of a particle in a straight line, and the application of simple harmonic motion to include the simple pendulum.

Also included on the Higher Level course is:

    Motion of a rigid body about a fixed axis:  

            (a) Calculation of moments of inertia for a rod, rectangular lamina, circular lamina and compound bodies formed of             those. (Sphere is excluded). Application of parallel and perpendicular axes theorems, with proofs done             as classwork. Idea of radius of gyration. Application of the conservation of energy principle to a rotating body.

            (b) Application of the principle of angular momentum: rate of change of angular momentum about a fixed axis             equals the total external moment about that axis. Compound pendulum. Simple applications.

    Ordinary differential equations and applications:

            (a) first order, variables separable; 

            (b) Second order reducing to type (a)

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