Leaving Cert Maths 2025

The 2025 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 2025 Higher Level paper?

Q1 algebra, inequalities, polynomial equations · 30 marks
Q2 calculus, differentiation, tangents, functions · 30 marks
Q3 calculus, differentiation, integration, chain rule · 30 marks
Q4 complex numbers, de moivre's theorem, trigonometric identities · 30 marks
Q5 algebra, completing the square, logarithms, simultaneous equations · 30 marks
Q6 binomial theorem, quadratic equations, discriminant · 30 marks
Q7 arithmetic sequences, geometric sequences, series · 50 marks
Q8 financial maths, calculus, optimisation, geometry · 50 marks
Q9 calculus, differentiation, integration, rates of change · 50 marks
Q10 sequences, induction, limits, coordinate geometry · 40 marks

Q1 coordinate geometry, lines, angle between lines · 30 marks
Q2 coordinate geometry, circles, tangent · 30 marks
Q3 probability, venn diagrams, independence · 30 marks
Q4 statistics, median, interquartile range, mean · 30 marks
Q5 geometry, congruent triangles, enlargement, area · 30 marks
Q6 trigonometry, trigonometric equations, cosine rule, trigonometric functions · 30 marks
Q7 volume, scaled diagrams, coordinate geometry, circles · 50 marks
Q8 pyramids, trigonometry, sine rule, percentage error · 50 marks
Q9 probability, tree diagrams, binomial distribution, combinatorics · 50 marks
Q10 normal distribution, confidence intervals, hypothesis testing, expected value · 50 marks

What's in the 2025 Ordinary Level paper?

Q1 percentages, vat, lcm, work rate · 30 marks
Q2 complex numbers, argand diagram, modulus · 30 marks
Q3 best buy, linear inequalities, quadratic factorisation · 30 marks
Q4 linear equations, differentiation, tangent slope, stationary points · 30 marks
Q5 simultaneous equations, quadratic equations, quadratic graphs · 30 marks
Q6 percentages, profit and margin, scientific notation · 30 marks
Q7 graph reading, percentages, exponential functions, linear functions · 50 marks
Q8 quadratic functions, graphs, differentiation, optimisation · 50 marks
Q9 compound interest, sequences, arithmetic series, quadratic sequences · 50 marks
Q10 nets, surface area, currency conversion, wages, formulae · 50 marks

Q1 percentage change, mean and standard deviation, quartiles, interquartile range · 30 marks
Q2 right-angled triangles, trigonometry, sine rule · 30 marks
Q3 circle equations, coordinate geometry, radius · 30 marks
Q4 coordinate geometry, slope, equation of a line, area of triangle, parallel and perpendicular lines · 30 marks
Q5 angles, parallel lines, pythagoras, congruent triangles · 30 marks
Q6 normal distribution, empirical rule, summary statistics · 30 marks
Q7 probability, tree diagrams, volume of sphere, expected value · 50 marks
Q8 pie charts, scatter plots, correlation, hypothesis testing, margin of error · 50 marks
Q9 centroid construction, similar shapes, scale factor, sectors of circles, arc length · 50 marks
Q10 area of triangle, cosine rule, perimeter, permutations, counting · 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.