Course Contents

Remember, you can complete this Leaving Certificate Maths course within 6 to 24 Months of enrolling. So take your first step by contacting us today !

Please note the content shown below is 2025 syllabus. This course is also available for 2026 syllabus. Please contact college for details.

Ordinary Level

See Higher level >>

Detailed Content

• Area and perimeter of rectangle, triangle parallelogram
• Area and circumference of a circle
• Sector of a disc
• Compound areas
• Cubes and cuboids
• Volume and surface area of cylinder, cone and sphere
• Prisms
• Compound volumes
• The trapezoidal rule

Back to top >>

• Multiplication and division of algebraic expressions
• Manipulation of formulae
• Simultaneous equations
• Factorisation
• Graphs – linear and quadratic

Back to top >>

• Co-ordinate geometry
• Equation of the line
• Slope
• Distance between points
• Area of a triangle
• Equation of a circle - centre (0,0) and centre (h, k)
• Points inside, outside and on a circle
• Intersection of a line and circle
• Tangent to a circle
• Important formulae to remember

Back to top >>

• Construction of triangles
• Bisecting angles
• Incircle and circumcircle
• Enlargements
• Calculation of scale factor
• Enlargements and area

Back to top >>

• Collection and display of data
• Populations, samples and bias
• Stem and leaf plots and histograms
• Distribution of data and skewness
• Scatter plots and correlation
• Mean, median and mode
• Interquartile range and standard deviation
• Normal distribution and the empirical rule
• Analysis of data
• Recognition of the misuse of statistics

Back to top >>

• Problems based on the prescribed theorems

Back to top >>

• Ratio and proportion
• Distance, speed and time
• Approximations
• Compound interest
• Depreciation
• PAYE and VAT
• Relative error
• Costing

Back to top >>

• Listing outcomes of experiments
• Use of two-way tables and tree diagrams
• Fundamental principle of counting
• Arrangements of n distinct objects (n!)
• Count the number of ways of selecting r objects from n distinct objects
• Probability
• Probability scale
• Probability of one event
• Set theory and probability
• Probability of combined events
• Bernoulli trials
• Expected value

Back to top >>

• Idea of a function
• Domain and range
• Periodic functions
• Graphs of functions
• Differentiation
• The derivative and integral
• Rate of change
• Graphing the rate of change
• Polynomial degree
• Application of differentiation
• Maximum and minimum points

Back to top >>

• Number systems
• Rational numbers
• Imaginary numbers
• Natural numbers
• Real numbers
• Complex numbers
• Scientific notation
• Definition and general term of a sequence
• Arithmetic sequence
• Arithmetic series
• Quadratic sequences

Back to top >>

• Radian measure
• Definition of trigonometrical functions
• Sin, Cos and Tan of principal angles
• Supplementary and complementary angles
• Area of triangle
• The cosine and sine rules
• Applications of the cosine and sine rules
• Angles of elevation and depression
• Scientific notation
• Relative error

Back to top >>

Get a FREE Leaving Certificate Maths brochure