Leaving Cert Maths 2026

The 2026 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 2026 Higher Level paper?

Paper 1

  • Q1 algebra, surds, rational equations, polynomial division · 30 marks
  • Q2 geometric series, sum to infinity, financial maths, amortisation · 30 marks
  • Q3 differentiation, product rule, integration, trigonometric functions · 30 marks
  • Q4 complex numbers, complex conjugate, de moivre's theorem, polar form · 30 marks
  • Q5 indices, number systems, venn diagrams, logarithms · 30 marks
  • Q6 proof by induction, factorials, quadratic equations, geometric sequences · 30 marks
  • Q7 cubic functions, rates of change, related rates, optimisation · 50 marks
  • Q8 exponential functions, logarithms, differentiation, simultaneous equations · 50 marks
  • Q9 arithmetic sequences, arithmetic series, quadratic sequences, rational equations · 50 marks
  • Q10 transformations, periodic functions, definite integrals, derivative graphs · 50 marks

Paper 2

  • Q1 stem and leaf plot, median, interquartile range, pie charts · 30 marks
  • Q2 margin of error, confidence intervals, hypothesis testing, statistics · 30 marks
  • Q3 constructions, transformations, volume, sphere · 30 marks
  • Q4 coordinate geometry, lines, slope, perpendicular distance · 30 marks
  • Q5 circles, tangent, counting, fundamental principle of counting · 30 marks
  • Q6 trigonometry, trigonometric identities, trigonometric functions, proof · 30 marks
  • Q7 area of triangle, cosine rule, sine rule, similar triangles · 50 marks
  • Q8 correlation, line of best fit, probability, trigonometric functions · 50 marks
  • Q9 congruent triangles, arc length, volume, trapezoidal rule · 50 marks
  • Q10 normal distribution, binomial distribution, expected value, tree diagrams · 50 marks

Ordinary Level

Paper 1Paper 2Marking Scheme
What's in the 2026 Ordinary Level paper?

Paper 1

  • Q1 percentages, depreciation, compound interest · 30 marks
  • Q2 algebra, quadratic equations, algebraic fractions · 30 marks
  • Q3 ratio, prime factors, factorisation, roots · 30 marks
  • Q4 complex numbers, argand diagram, complex conjugate · 30 marks
  • Q5 arithmetic sequences, arithmetic series, inequalities · 30 marks
  • Q6 functions, differentiation, turning points, graph interpretation · 30 marks
  • Q7 graph reading, simultaneous equations, income tax, tax credits · 50 marks
  • Q8 cubic functions, graphing, differentiation, formula rearrangement · 50 marks
  • Q9 arithmetic, currency conversion, speed distance time, ratio · 50 marks
  • Q10 linear functions, exponential functions, inequalities, rates · 50 marks

Paper 2

  • Q1 coordinate geometry, equation of a line, area of triangle, parallel and perpendicular lines · 30 marks
  • Q2 probability, sample space · 30 marks
  • Q3 counting, fundamental principle of counting, permutations · 30 marks
  • Q4 isosceles triangle, angles, area of triangle, cosine rule · 30 marks
  • Q5 mode, range, median, expected value · 30 marks
  • Q6 enlargement, scale factor, similar triangles, circles · 30 marks
  • Q7 circle equations, tangents, equation of a line, coordinate geometry · 50 marks
  • Q8 pythagoras, trapezoidal rule, sine rule, sectors of circles · 50 marks
  • Q9 mean and standard deviation, empirical rule, margin of error, hypothesis testing · 50 marks
  • Q10 volume of cone, volume of cylinder, surface area, percentage change · 50 marks

Foundation Level

Exam PaperMarking Scheme

Revise Maths by topic

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.