Leaving Cert Maths 2019

The 2019 Leaving Cert Maths exam papers and official marking scheme, free below as direct PDF links from the State Examinations Commission archive.

Higher Level

Paper 1Paper 2Marking Scheme
What's in the 2019 Higher Level paper?

Paper 1

  • Q1 algebra, polynomial expansion, rational equations · 25 marks
  • Q2 functions, graphs, proof by induction · 25 marks
  • Q3 factorisation, logarithms, differentiation · 25 marks
  • Q4 integration, cubic functions, roots · 25 marks
  • Q5 complex numbers, polar form, de moivre's theorem · 25 marks
  • Q6 surds, statistics, proof by contradiction · 25 marks
  • Q7 geometric series, sequences, limits · 45 marks
  • Q8 trigonometric functions, differentiation, optimisation · 50 marks
  • Q9 functions, graphs, optimisation, differentiation · 55 marks

Paper 2

  • Q1 probability, counting, combinations · 25 marks
  • Q2 coordinate geometry, line, intercepts · 25 marks
  • Q3 circle, coordinate geometry, tangent · 25 marks
  • Q4 trigonometry, trigonometric identities, geometry of solids · 25 marks
  • Q5 geometry, constructions, circle theorems · 25 marks
  • Q6 probability, independent events, venn diagram · 25 marks
  • Q7 circle segment, volume, trigonometry · 50 marks
  • Q8 confidence interval, normal distribution, hypothesis testing · 45 marks
  • Q9 trigonometry, cosine rule, incircle, area · 55 marks

Ordinary Level

Paper 1Paper 2Marking Scheme
What's in the 2019 Ordinary Level paper?

Paper 1

  • Q1 arithmetic, income tax, financial maths · 25 marks
  • Q2 complex numbers, argand diagram, modulus · 25 marks
  • Q3 functions, graphing, differentiation · 25 marks
  • Q4 algebra, linear equations, simultaneous equations · 25 marks
  • Q5 trapezoidal rule, area, unit conversion · 25 marks
  • Q6 inequalities, indices, number line · 25 marks
  • Q7 quadratic functions, graphing, differentiation · 55 marks
  • Q8 formula rearrangement, arithmetic sequences, arithmetic series · 55 marks
  • Q9 exponential functions, financial maths, currency exchange · 40 marks

Paper 2

  • Q1 stem-and-leaf, probability, percentages · 25 marks
  • Q2 coordinate geometry, slope, area of triangle · 25 marks
  • Q3 probability, independent events · 25 marks
  • Q4 coordinate geometry, circle equation, midpoint · 25 marks
  • Q5 area and perimeter, circle, volume of cone, rates · 25 marks
  • Q6 constructions, area of parallelogram, circle theorems · 25 marks
  • Q7 statistics, mean, standard deviation, median · 50 marks
  • Q8 volume, margin of error, confidence interval, hypothesis testing · 45 marks
  • Q9 trigonometry, cosine rule, arc length, area of sector · 55 marks

Foundation Level

Exam PaperMarking Scheme

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Number & ArithmeticFinancial MathsAlgebraComplex NumbersSequences & SeriesFunctions & GraphsCalculusCoordinate GeometryGeometry & MeasurementTrigonometryProbabilityStatistics
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Questions come from the official State Examinations Commission papers. Every link opens the original PDF on examinations.ie.