Leaving Cert Maths 2021

The 2021 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 2021 Higher Level paper?

Paper 1

  • Q1 complex numbers, de moivre's theorem, argand diagram · 30 marks
  • Q2 absolute value equations, polynomials, factor theorem · 30 marks
  • Q3 surds, quadratic equations, indices, logarithms · 30 marks
  • Q4 proof by induction, arithmetic sequences, divisibility · 30 marks
  • Q5 differentiation, completing the square, quadratic inequalities, tangent lines · 30 marks
  • Q6 differentiation, integration, cubic functions, graph interpretation · 30 marks
  • Q7 geometric sequences, geometric series, sum to infinity, arc length · 50 marks
  • Q8 differentiation, integration, cubic functions, modelling · 50 marks
  • Q9 exponential functions, logarithms, differentiation, related rates · 50 marks
  • Q10 differentiation, trigonometric functions, modelling, volume of a cylinder · 50 marks

Paper 2

  • Q1 probability, binomial distribution · 30 marks
  • Q2 coordinate geometry, line, distance from point to line, ratio · 30 marks
  • Q3 circles, coordinate geometry, chord, tangent circles · 30 marks
  • Q4 trigonometry, double angle formula, trigonometric equations, proof · 30 marks
  • Q5 volume, sphere, cone, speed and distance · 30 marks
  • Q6 geometry, similar triangles, proof, parallel lines · 30 marks
  • Q7 trigonometry, cosine rule, area of triangle, speed and distance · 50 marks
  • Q8 normal distribution, hypothesis testing, probability, counting · 50 marks
  • Q9 trigonometry, cosine rule, trigonometric functions, differentiation · 50 marks
  • Q10 binomial distribution, probability, expected value · 50 marks

Ordinary Level

Paper 1Paper 2Marking Scheme
What's in the 2021 Ordinary Level paper?

Paper 1

  • Q1 percentages, vat · 30 marks
  • Q2 complex numbers, argand diagram · 30 marks
  • Q3 quadratic equations, factorisation · 30 marks
  • Q4 linear equations, simultaneous equations · 30 marks
  • Q5 functions, calculus, differentiation · 30 marks
  • Q6 arithmetic sequences, arithmetic series · 30 marks
  • Q7 financial maths, percentages, tax · 50 marks
  • Q8 volume, cubic functions, graphs · 50 marks
  • Q9 sequences, patterns, quadratic sequences · 50 marks
  • Q10 scientific notation, speed distance time, geometric sequences · 50 marks

Paper 2

  • Q1 probability, sample space, fundamental counting principle · 30 marks
  • Q2 probability, geometry, area, perimeter · 30 marks
  • Q3 coordinate geometry, line equation, perpendicular lines · 30 marks
  • Q4 coordinate geometry, circle equation, midpoint · 30 marks
  • Q5 normal distribution, scatter plots, correlation · 30 marks
  • Q6 geometric constructions, circumcircle, enlargement, similar triangles · 30 marks
  • Q7 histograms, mid-interval mean, hypothesis testing, margin of error · 50 marks
  • Q8 trapezoidal rule, volume, sphere, cosine rule · 50 marks
  • Q9 scale, trigonometry, sine rule, arc length · 50 marks
  • Q10 coordinate geometry, distance formula, line equation, parallel lines · 50 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.