Join Louise Boylan from Dublin's Institute of Education for ten video tutorials (scroll down for videos) and some amazing exam notes to help get you ready for Leaving Cert Maths Higher Level.

With over 20 years of experience teaching Maths and Applied Maths, Louise consults on the content of Mock Examination papers for students at both Leaving and Junior Certificate Level.

Her experience in textbook writing has established Louise as one of the country’s leading experts on the Post-Primary Mathematics syllabuses and her experience of correcting with the State Examinations Commission gives her an in-depth knowledge of what is required by students to get the best results possible. 1. Algebra

Applying rules of logarithms to solve two equations simultaneously. 2. Functions

Using the factor theorem to solve a cubic equation. Sketch the graph of the cubic function and the graphs of its first and second derivative. 3. Differential calculus

Finding the first derivative of three expressions. How to differentiate using the chain rule. 4. Rates of change

Using differential calculus to find the rate of change of the radius and surface area of a spherical ball, as its volume changes. 5. Integration

Using integration to find the area between a curve and the x-axis. 6. Applications of a Geometric Series (financial maths)

Using the sum of a geometric series to find the monthly savings required to total to a given amount in a given time frame. Also using the amortisation formula to calculate the equal monthly repayments due on a term loan. 7. Probability

Using the Bernoulli method to find the probability of a combination of events occurring. 8. Coordinate Geometry

Finding the equations of two parallel tangents to a given circle. 9. Statistics

Finding the area of a region under the normal curve. Form a 95% confidence interval to perform a hypothesis test. 10. Trigonometric Graph

Understanding the different elements in the function for a Trigonometric graph and how they apply to the sketch of the graph. ### How the exam is broken up?

Paper 1 – 2·5 hour exam (220 marks)

Topics:

Algebra, Functions, Complex Numbers, Induction, Sequences and Series, Financial Maths, Differential Calculus, Integration, Area and Volume.

Exam structure:

Section A – Concepts and Skills (30 mark questions) – answer 4 out of 6 questions.

Section B – Contexts and Application (50 mark questions) – answer 2 out of 4 questions.

Paper 2 – 2·5 hour exam (220 marks)

Topics:

Synthetic Geometry, Coordinate Geometry, Trigonometry, Probability, Statistics, Area and Volume.

Exam structure:

Section A – Concepts and Skills (30 mark questions) – answer 4 out of 6 questions.

Section B – Contexts and Application (50 mark questions) – answer 2 out of 4 questions.

Note – the lists given above are the topics that tend to appear regularly on each paper, however it is possible that topics can drift between papers. For example, Area and Volume can sometimes appear on both papers. In previous years, Financial maths has been examined on paper 2 while Trigonometry graphs have been examined on paper 1. So, it is important to be prepared in all topics for both papers. 