Question 1Paper 1
Solve: , , .
Leaving Cert Higher Maths syllabus
Students sitting Higher Level in June 2027 are examined on the syllabus first examined in 2015. The revised specification was postponed and does not apply to 2027.
26 weeks, 104 hours in all
Start with Topic 9
Co-ordinate geometry: the line and the circle: 11.2 of your hours. It is 7 of the 60 questions on our two timed checks, 12%.
| Topic | Your hours | Share of the checks |
|---|---|---|
| Topic 9: Co-ordinate geometry: the line and the circle | 11.2 | 12% |
| Topic 1: Algebra | 9.6 | 10% |
| Topic 10: Trigonometry | 9.6 | 10% |
| Topic 5: Differential calculus | 9.6 | 10% |
| Topic 7: Probability | 9.6 | 10% |
| Topic 8: Statistics | 9.6 | 10% |
| Topic 11: Geometry, length, area and volume | 8 | 8% |
| Topic 3: Sequences, series, financial maths and induction | 8 | 8% |
| Topic 4: Functions and graphs | 8 | 8% |
| Topic 2: Complex numbers | 6.4 | 7% |
| Topic 6: Integral calculus | 6.4 | 7% |
Week by week
- Week 1Topic 9: Co-ordinate geometry: the line and the circle
- Week 2Topic 9: Co-ordinate geometry: the line and the circle
- Week 3Topic 9: Co-ordinate geometry: the line and the circle, Topic 1: Algebra
- Week 4Topic 1: Algebra
- Week 5Topic 1: Algebra
- Week 6Topic 1: Algebra, Topic 10: Trigonometry
- Week 7Topic 10: Trigonometry
- Week 8Topic 10: Trigonometry, Topic 5: Differential calculus
- Week 9Topic 5: Differential calculus
- Week 10Topic 5: Differential calculus
- Week 11Topic 7: Probability
- Week 12Topic 7: Probability
- Week 13Topic 7: Probability, Topic 8: Statistics
- Week 14Topic 8: Statistics
- Week 15Topic 8: Statistics, Topic 11: Geometry, length, area and volume
- Week 16Topic 11: Geometry, length, area and volume
- Week 17Topic 11: Geometry, length, area and volume, Topic 3: Sequences, series, financial maths and induction
- Week 18Topic 3: Sequences, series, financial maths and induction
- Week 19Topic 3: Sequences, series, financial maths and induction, Topic 4: Functions and graphs
- Week 20Topic 4: Functions and graphs
- Week 21Topic 4: Functions and graphs, Topic 2: Complex numbers
- Week 22Topic 2: Complex numbers
- Week 23Topic 2: Complex numbers, Topic 6: Integral calculus
- Week 24Topic 6: Integral calculus
- Week 25A timed check and two written questions, then review every lost mark
- Week 26A timed check and two written questions, then review every lost mark
| Papers | Paper 1 and Paper 2, 2 hours 30 minutes and 300 marks each |
|---|---|
| Sections | Section A, concepts and skills; Section B, contexts and applications |
| Allowed | A calculator and the Formulae and Tables booklet |
| Syllabus | The syllabus for examination from 2015, examined again in 2027 |
Which syllabus applies to 2027
A revised mathematics specification was planned for fifth years from September 2027, and its introduction has been postponed. Students who started fifth year in September 2025 sit the syllabus for examination from 2015.
The five strands
Strand 1, Statistics and Probability; Strand 2, Geometry and Trigonometry; Strand 3, Number; Strand 4, Algebra; Strand 5, Functions. Calculus is part of Strand 5.
How this course is organised
We split the strands into eleven topics: six for the number, algebra and functions questions usually set on Paper 1, and five for the statistics, probability, geometry and trigonometry usually set on Paper 2.
Try 2 questions
Question 2Paper 2
Test scores have mean 60 and standard deviation 5. What is the -score of a score of 68?
Next step
Questions people ask
Is the new Leaving Cert Maths specification examined in 2027?
No. Its introduction was postponed from September 2027, so the June 2027 examination follows the syllabus for examination from 2015.
Is there a project or coursework in Maths?
No. Higher Level Maths is assessed by two written papers.
Do I have to learn the formulae?
Many are in the Formulae and Tables booklet you are given in the exam, but not all. You still need to know when to use each one and how to derive the trigonometric formulae the syllabus lists.