Leaving Cert Maths 2022

The 2022 Leaving Cert Maths exam papers and official marking scheme, free below as direct PDF links from the State Examinations Commission archive.

Higher Level

What's in the 2022 Higher Level paper?

Q1 algebra, quadratic equations, polynomial division · 30 marks
Q2 integration, definite integrals, simultaneous equations · 30 marks
Q3 complex numbers, modulus, de moivre's theorem, argand diagram · 30 marks
Q4 sequences and series, indices, logarithms, arithmetic sequences · 30 marks
Q5 differentiation, polynomials, factor theorem · 30 marks
Q6 differentiation from first principles, rates of change, derivative graphs · 30 marks
Q7 differentiation, applications of calculus, polynomials, function transformations · 50 marks
Q8 trigonometric functions, periodic functions, trigonometric equations, integration · 50 marks
Q9 exponential functions, logarithms, geometric series, sum to infinity · 50 marks
Q10 logarithmic functions, differentiation, points of inflection, modelling · 50 marks

Q1 probability, two-way table, independence · 30 marks
Q2 coordinate geometry, line, ratio, slope · 30 marks
Q3 circles, coordinate geometry, tangent · 30 marks
Q4 trigonometry, compound angle formula, proof, isosceles triangle · 30 marks
Q5 statistics, confidence interval, hypothesis testing, proportion · 30 marks
Q6 geometry, construction, circle theorems, proof · 30 marks
Q7 geometry, volume, cone, sphere, similar triangles · 50 marks
Q8 statistics, scatterplot, correlation, expected value, probability · 50 marks
Q9 trigonometry, area of triangle, cosine rule, speed, equations · 50 marks
Q10 normal distribution, binomial distribution, probability, counting · 50 marks

What's in the 2022 Ordinary Level paper?

Q1 complex numbers, argand diagram, modulus, complex conjugate · 30 marks
Q2 linear equations, indices, simultaneous equations · 30 marks
Q3 income tax, percentages, financial maths · 30 marks
Q4 differentiation, tangent line, graph interpretation · 30 marks
Q5 scientific notation, unit conversion, graph interpretation, inequalities · 30 marks
Q6 arithmetic sequence, common difference, series sum · 30 marks
Q7 cubic function, graph plotting, differentiation, modelling · 50 marks
Q8 percentages, weighted average, percentage error, euler's polyhedral formula, algebraic manipulation · 50 marks
Q9 depreciation, exponential model, linear model, financial maths, percentages · 50 marks
Q10 quadratic function, differentiation, graph plotting, percentages · 50 marks

Q1 coordinate geometry, slopes, perpendicular lines, line equations · 30 marks
Q2 circle equations, coordinate geometry, transformations · 30 marks
Q3 statistics, mean median, counting principles · 30 marks
Q4 pie charts, normal distribution, standard deviation, range · 30 marks
Q5 trigonometry, area of triangle, pythagoras · 30 marks
Q6 circle theorems, arc length, similar triangles, congruent triangles · 30 marks
Q7 stem-and-leaf plot, correlation, probability, factorial · 50 marks
Q8 volume of solids, trigonometry, frustum, angle of elevation · 50 marks
Q9 volume of prism, pythagoras, enlargement, cosine rule · 50 marks
Q10 margin of error, hypothesis testing, expected value, linear inequalities · 50 marks

💡

Practising a paper?Get unstuck on any question, step by step, with the ExamAI tutor.

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