Leaving Cert Maths 2016

The 2016 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 2016 Higher Level paper?

Paper 1

  • Q1 complex numbers, de moivre's theorem, quadratic equations · 25 marks
  • Q2 inequalities, modulus, simultaneous equations · 25 marks
  • Q3 exponential functions, graphs, logarithms · 25 marks
  • Q4 proof by induction, logarithms · 25 marks
  • Q5 pythagoras, quadratic equations, functions, inverse functions · 25 marks
  • Q6 differentiation from first principles, product rule, tangents · 25 marks
  • Q7 related rates, quadratic functions, average value of a function · 40 marks
  • Q8 quadratic functions, differentiation, tangents, transformations, indices · 55 marks
  • Q9 geometric series, sequences, limits, surds · 55 marks

Paper 2

  • Q1 coordinate geometry, perpendicular lines, orthocentre · 25 marks
  • Q2 coordinate geometry, line, circle, tangent · 25 marks
  • Q3 trigonometry, trigonometric identities, double angle · 25 marks
  • Q4 geometry, similar triangles, constructions · 25 marks
  • Q5 probability, independent events, venn diagram · 25 marks
  • Q6 probability, counting, expected value · 25 marks
  • Q7 trigonometry, geometry of solids, cosine rule, area · 55 marks
  • Q8 trigonometric functions, periodic functions, calculus, graphs · 45 marks
  • Q9 normal distribution, hypothesis testing, confidence interval, margin of error · 50 marks

Ordinary Level

Paper 1Paper 2Marking Scheme
What's in the 2016 Ordinary Level paper?

Paper 1

  • Q1 arithmetic, formula, linear equations · 25 marks
  • Q2 complex numbers, argand diagram, modulus · 25 marks
  • Q3 linear equations, simultaneous equations, inequalities · 25 marks
  • Q4 functions, differentiation, tangent · 25 marks
  • Q5 quadratic patterns, arithmetic sequences, general term · 25 marks
  • Q6 arithmetic, income tax, percentages · 25 marks
  • Q7 compound interest, financial maths, quadratic functions · 55 marks
  • Q8 quadratic functions, graphing, differentiation, optimisation · 50 marks
  • Q9 linear functions, exponential functions, graphing · 45 marks

Paper 2

  • Q1 venn diagrams, probability, tree diagrams · 25 marks
  • Q2 area of triangle, cosine rule, trigonometry · 25 marks
  • Q3 circle equation, coordinate geometry, area · 25 marks
  • Q4 equation of a line, coordinate geometry, point of intersection · 25 marks
  • Q5 stem-and-leaf, mode, median, mean · 25 marks
  • Q6 constructions, triangle inequality, theorem of pythagoras · 25 marks
  • Q7 scientific notation, volume of sphere, surface area, cylinder · 55 marks
  • Q8 pie chart, percentages, arithmetic · 50 marks
  • Q9 coordinate geometry, distance, parallelogram, trigonometry · 45 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.