Leaving Cert Maths 2023

The 2023 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 2023 Higher Level paper?

Q1 algebra, absolute value, polynomials, factor theorem · 30 marks
Q2 calculus, quadratics, limits, transformations of functions · 30 marks
Q3 proof by contradiction, logarithms, indices · 30 marks
Q4 complex numbers, de moivre's theorem, argand diagram, transformations · 30 marks
Q5 calculus, differentiation, product rule, chain rule, functions, injective, surjective · 30 marks
Q6 calculus, integration, area between curves, definite integrals, exponentials · 30 marks
Q7 calculus, differentiation, integration, rates of change, modelling · 50 marks
Q8 financial maths, compound interest, geometric series, expected value, percentages · 50 marks
Q9 number theory, factors, graphs, tangents, calculus, geometry · 50 marks
Q10 sequences and series, geometry, area, calculus, integration, rates of change · 50 marks

Q1 probability, binomial distribution, expected value · 30 marks
Q2 trigonometry, compound angle formula, trigonometric equations, proof · 30 marks
Q3 coordinate geometry, area of triangle, midpoint, perpendicular bisector · 30 marks
Q4 coordinate geometry, circles, perpendicular distance · 30 marks
Q5 statistics, mean, standard deviation, correlation, counting · 30 marks
Q6 geometry, congruent triangles, trigonometry, proof · 30 marks
Q7 trigonometry, sine rule, trigonometric functions, differentiation · 50 marks
Q8 normal distribution, confidence interval, hypothesis testing, tree diagram, conditional probability · 50 marks
Q9 geometry, area, cosine rule, coordinate geometry, circles, tangent · 50 marks
Q10 geometry, frustum, similar triangles, surface area, nets, counting, combinatorics · 50 marks

What's in the 2023 Ordinary Level paper?

Q1 percentages, compound interest, house prices · 30 marks
Q2 complex numbers, argand diagram, modulus, complex conjugate · 30 marks
Q3 linear equations, inequalities, simultaneous equations · 30 marks
Q4 functions, differentiation, tangent line, graph reading · 30 marks
Q5 ratios, work-rate, distance speed time, average speed · 30 marks
Q6 quadratic functions, calculus minimum, expanding brackets, quadratic formula · 30 marks
Q7 formula manipulation, rearranging equations, differentiation, linear models · 50 marks
Q8 area, trapezoidal rule, percentages, currency conversion · 50 marks
Q9 exponential models, percentage error, scientific notation, graphs · 50 marks
Q10 volume of cylinder, ratios, percentages, tiered pricing · 50 marks

Q1 coordinate geometry, slope of a line, distance between points, equation of a line · 30 marks
Q2 coordinate geometry, circle equations, line-circle intersection · 30 marks
Q3 counting principles, permutations, correlation · 30 marks
Q4 probability, independent events, mean from frequency table · 30 marks
Q5 area of a circle, circumference, pythagoras · 30 marks
Q6 geometric construction, parallelogram, angles · 30 marks
Q7 trigonometry, pythagoras, sine rule, cosine rule · 50 marks
Q8 volume of cylinder, volume of cube, cone surface area, net of cone · 50 marks
Q9 grouped frequency, median, histogram, margin of error, hypothesis testing · 50 marks
Q10 regular pentagon, area of triangle, probability, expected value · 50 marks

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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.