Leaving Cert Maths 2015

The 2015 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 2015 Higher Level paper?

Paper 1

  • Q1 sequences and series, geometric series · 25 marks
  • Q2 algebra, polynomial equations · 25 marks
  • Q3 calculus, integration, trapezoidal rule · 25 marks
  • Q4 complex numbers, geometric series · 25 marks
  • Q5 algebra, calculus, differentiation · 25 marks
  • Q6 financial maths, compound interest, loans · 25 marks
  • Q7 calculus, differentiation, cubic functions, symmetry · 50 marks
  • Q8 calculus, rates of change, related rates, geometry · 50 marks
  • Q9 calculus, trigonometric functions, differentiation, integration · 50 marks

Paper 2

  • Q1 probability, binomial distribution · 25 marks
  • Q2 statistics, confidence intervals, hypothesis testing · 25 marks
  • Q3 coordinate geometry, lines, perpendicular distance, angle bisector · 25 marks
  • Q4 coordinate geometry, circles, tangent · 25 marks
  • Q5 trigonometry, trigonometric identities, trigonometric equations · 25 marks
  • Q6 geometry, construction, proof · 25 marks
  • Q7 geometry, circles, tangents, area · 40 marks
  • Q8 probability, conditional probability, geometric sequences, bernoulli trials · 65 marks
  • Q9 trigonometry, cosine rule, quadratic functions, applications · 45 marks

Ordinary Level

Paper 1Paper 2Marking Scheme
What's in the 2015 Ordinary Level paper?

Paper 1

  • Q1 arithmetic, currency exchange, ratio · 25 marks
  • Q2 proportion, scientific notation, volume of a sphere · 25 marks
  • Q3 algebra, inequalities, polynomial division · 25 marks
  • Q4 quadratic equations, turning point, graphing · 25 marks
  • Q5 functions, simultaneous equations, area · 25 marks
  • Q6 complex numbers, argand diagram, modulus · 25 marks
  • Q7 patterns, quadratic sequences, sequences and series · 70 marks
  • Q8 quadratic functions, graphing, differentiation · 50 marks
  • Q9 exponential functions, graph reading, financial maths · 30 marks

Paper 2

  • Q1 counting, permutations, probability · 25 marks
  • Q2 coordinate geometry, slope, equation of line, congruent triangles · 25 marks
  • Q3 coordinate geometry, circle equation, distance formula · 25 marks
  • Q4 angles, parallelogram, area of triangle · 25 marks
  • Q5 sine rule, cosine rule, area of triangle · 25 marks
  • Q6 correlation, scatter graphs, margin of error, confidence interval · 25 marks
  • Q7 enlargement, scale factor, area ratio, trigonometry · 35 marks
  • Q8 volume of sphere, surface area, volume of cylinder, hemisphere · 45 marks
  • Q9 data types, mean, histograms, empirical rule · 70 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.