Quick Revision Notes for Leaving & Junior Certificate Students

Leaving Cert Maths Practice Questions and Solutions

Leaving Cert Maths Paper 1 in

Online Exam-Style HL Unseen Questions & Solutions for Quick Revision

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Louise Boylan - Our Maths Tutor

Louise Boylan is an experienced examiner at both Junior and Leaving Certificate level. She is the co-author of the popular "New Concise Project Maths" textbooks and "Less Stress More Success" revision books.

She has an extremely thorough understanding of the Project Maths curriculum, is a lecturer to Junior and Leaving Certificate higher level maths students at Trinity College Dublin and is currently teaching maths in Mount Sackville Secondary School, Dublin.

Topics Covered

Paper 1

  • Algebra
  • Indices and Log
  • Complex Numbers
  • Pattern
  • Financial Maths
  • Functions
  • Differential Calculus
  • Integration
  • Proof by Induction

Paper 2

  • Coordinate Geometry of the line
  • Coordinate Geometry of the circle
  • Trigonometry
  • Geometry
  • Probability
  • Statistics

Our Online Revision Course

  • Last minute course notes and unseen exam solutions.
  • Exclusively focused on improving your Leaving Cert higher level maths result. Check out a sample question →
  • Explained solutions provided for questions devised by Louise based on Past Exam Papers and Mock Papers.
  • Short and long questions included to mimic the Leaving Cert exam paper.
  • Covering questions most likely to appear on the exam.
  • Course design to encourage a greater understanding of the material.
  • Online Course covering Paper 1 and Paper 2.
  • Videos provided to explain the full solutions.
  • Great value at just €25 for Paper 1 & Paper 2.
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Exam Focused

Higher Level exam-focused revision for Maths paper 1 & 2.

Video Solutions

Fully explained step-by-step video solutions.

Notes & Answers

Notes with exam style questions and solutions covering all topics.

Sample Question & Solution

Leaving Cert Maths Paper 1 in


Question 3 - Functions. (25 Marks)
Difficulty: Challenging

\[Let\ f(x)=\frac{x^2+k^2}{mx}, where\ k\ and\ m\ are\ constants\ an\ m \neq 0\]

$(i)\ Find\ the\ value\ of\ f(5)$

$(ii)\ Show \ that\ f(km)=f\left(\frac{k}{m}\right)$

$(iii)\ a\ and\ b\ are\ real\ numbers\ such\ that\ a \neq 0,\ b\neq 0\ and\ a \neq b.\\ Show\ that\ if\ f(a)=f(b),\ then\ ab=k^2.\\$

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