Leaving Cert Maths 2018

The 2018 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 2018 Higher Level paper?

Paper 1

  • Q1 simultaneous equations, rational inequalities · 25 marks
  • Q2 geometric series, cubic equations, sum to infinity · 25 marks
  • Q3 differentiation, tangents, average value of a function · 25 marks
  • Q4 proof by induction, de moivre's theorem, complex numbers · 25 marks
  • Q5 arithmetic sequences, series, recursive sequences · 25 marks
  • Q6 integration, area between curves, inverse functions · 25 marks
  • Q7 logarithmic functions, graphs, differentiation, optimisation · 55 marks
  • Q8 differentiation, points of inflection, normal distribution curve · 40 marks
  • Q9 geometric sequences, logarithms, limits, sum to infinity · 55 marks

Paper 2

  • Q1 expected value, probability · 25 marks
  • Q2 normal distribution, standardisation, empirical rule · 25 marks
  • Q3 counting, fundamental principle of counting, factorials · 25 marks
  • Q4 trigonometric equations, double angle formulae · 25 marks
  • Q5 coordinate geometry, line, circle · 25 marks
  • Q6 geometry, theorem proof, similar triangles · 25 marks
  • Q7 volume, geometric sequence, arithmetic sequence · 50 marks
  • Q8 sampling distribution, confidence interval, calculus, geometric series · 60 marks
  • Q9 sine rule, cosine rule, periodic functions, trigonometry · 40 marks

Ordinary Level

Paper 1Paper 2Marking Scheme
What's in the 2018 Ordinary Level paper?

Paper 1

  • Q1 arithmetic, percentages, linear equations · 25 marks
  • Q2 complex numbers, argand diagram, modulus · 25 marks
  • Q3 quadratic equations, simultaneous equations, algebra · 25 marks
  • Q4 patterns, quadratic sequences, algebra · 25 marks
  • Q5 quadratic functions, differentiation, coordinate geometry · 25 marks
  • Q6 algebra, quadratic equations, algebraic fractions · 25 marks
  • Q7 arithmetic sequences, arithmetic series, ratio · 55 marks
  • Q8 cubic functions, differentiation, graphing · 65 marks
  • Q9 formula rearrangement, surds, speed distance time · 30 marks

Paper 2

  • Q1 probability, dice, set theory · 25 marks
  • Q2 coordinate geometry, midpoint, slope, area of triangle · 25 marks
  • Q3 counting, permutations, probability, expected value · 25 marks
  • Q4 coordinate geometry, circle equation, tangent · 25 marks
  • Q5 area, pythagoras, circumference, ratio · 25 marks
  • Q6 constructions, parallelogram, congruent triangles · 25 marks
  • Q7 statistics, mean, standard deviation, correlation · 60 marks
  • Q8 pythagoras, trigonometry, cosine rule, arc length · 50 marks
  • Q9 volume of sphere, scientific notation, margin of error, hypothesis testing · 40 marks

Foundation Level

Paper 1Paper 2Marking Scheme
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All PDFs open on the State Examinations Commission archive (examinations.ie). ExamAI links to them; we don't host or alter them.