Leaving Cert Maths: Geometry & Measurement questions

Synthetic geometry (theorems, Pythagoras, constructions, enlargements) together with length, area, surface area and volume.

102 past Maths questions on this topic, spanning 2015 to 2025, grouped by year. Every question opens on the exact page of the official paper, with its marking scheme beside it.

Geometry & Measurement question pack

Every past question on this topic, taken from the official exam papers and set out for printing. Free, no sign-up.

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2025 · 4 questions

Paper 1 · Q850 marks

financial maths, calculus, optimisation

Paper 2 · Q750 marks

coordinate geometry, circles

Paper 2 · Q850 marks

trigonometry, sine rule, percentage error

2024 · 6 questions

Paper 1 · Q950 marks

algebra, rates of change, rearranging formulae

Paper 1 · Q1050 marks

calculus, integration, inequalities, functions

Paper 2 · Q330 marks

trigonometry, trigonometric equations, sine rule

Paper 2 · Q850 marks

calculus optimisation

Paper 2 · Q1050 marks

trigonometry, sectors, cosine rule, combinatorics

2023 · 7 questions

Paper 1 · Q430 marks

complex numbers, de moivre's theorem, argand diagram

Paper 1 · Q950 marks

number theory, factors, graphs, tangents, calculus

Paper 1 · Q1050 marks

sequences and series, calculus, integration, rates of change

Paper 2 · Q230 marks

trigonometry, compound angle formula, trigonometric equations

Paper 2 · Q950 marks

cosine rule, coordinate geometry, circles, tangent

Paper 2 · Q1050 marks

counting, combinatorics

2022 · 3 questions

2021 · 5 questions

Paper 1 · Q1050 marks

differentiation, trigonometric functions, modelling

Paper 2 · Q330 marks

circles, coordinate geometry, tangent circles

Paper 2 · Q430 marks

trigonometry, double angle formula, trigonometric equations

Paper 2 · Q530 marks

speed and distance

Paper 2 · Q630 marks

parallel lines

Show 6 earlier years (2015 to 2020)

2020 · 2 questions

Paper 2 · Q925 marks

coordinate geometry, calculus, optimisation

2019 · 4 questions

Paper 2 · Q425 marks

trigonometry, trigonometric identities

Paper 2 · Q955 marks

trigonometry, cosine rule

2018 · 2 questions

Paper 2 · Q750 marks

geometric sequence, arithmetic sequence

2016 · 4 questions

Paper 1 · Q525 marks

quadratic equations, functions, inverse functions

Paper 1 · Q855 marks

quadratic functions, differentiation, tangents, indices

Paper 2 · Q755 marks

trigonometry, cosine rule

2015 · 6 questions

Paper 1 · Q325 marks

calculus, integration

Paper 1 · Q750 marks

calculus, differentiation, cubic functions

Paper 1 · Q850 marks

calculus, rates of change, related rates

Paper 2 · Q325 marks

coordinate geometry, lines, perpendicular distance

Paper 2 · Q740 marks

circles, tangents

Geometry & Measurement question pack

Every past question on this topic, taken from the official exam papers and set out for printing. Free, no sign-up.

Try a random question now →

0 of 0 doneSaved on this device.

2025 · 6 questions

Paper 1 · Q1050 marks

currency conversion, wages, formulae

Paper 2 · Q330 marks

circle equations, coordinate geometry

Paper 2 · Q530 marks

parallel lines

Paper 2 · Q750 marks

probability, tree diagrams, expected value

Paper 2 · Q950 marks

sectors of circles, arc length

Paper 2 · Q1050 marks

area of triangle, cosine rule, permutations, counting

2024 · 4 questions

Paper 1 · Q630 marks

graph reading, percentage error

Paper 2 · Q850 marks

trigonometry, sine rule, cosine rule

Paper 2 · Q1050 marks

unit conversions

2023 · 7 questions

Paper 1 · Q850 marks

percentages, currency conversion

Paper 1 · Q1050 marks

ratios, percentages, tiered pricing

Paper 2 · Q750 marks

trigonometry, sine rule, cosine rule

Paper 2 · Q1050 marks

area of triangle, probability, expected value

2022 · 6 questions

Paper 1 · Q850 marks

percentages, weighted average, percentage error, algebraic manipulation

Paper 2 · Q230 marks

circle equations, coordinate geometry

Paper 2 · Q530 marks

trigonometry, area of triangle

Paper 2 · Q850 marks

trigonometry, angle of elevation

2021 · 5 questions

Paper 1 · Q850 marks

cubic functions, graphs

Paper 2 · Q950 marks

trigonometry, sine rule, arc length

Show 6 earlier years (2015 to 2020)

2020 · 4 questions

Paper 1 · Q525 marks

quadratic equations, functions, graphs

Paper 2 · Q625 marks

simultaneous equations

Paper 2 · Q755 marks

trigonometry, sine rule, vat

2019 · 4 questions

Paper 1 · Q525 marks

unit conversion

Paper 2 · Q845 marks

margin of error, confidence interval, hypothesis testing

2018 · 4 questions

Paper 2 · Q850 marks

trigonometry, cosine rule, arc length

Paper 2 · Q940 marks

scientific notation, margin of error, hypothesis testing

2017 · 5 questions

Paper 2 · Q225 marks

coordinate geometry, circle equation

Paper 2 · Q755 marks

arc length, sectors

Paper 2 · Q840 marks

coordinate geometry, slope, area of triangle

2016 · 4 questions

Paper 2 · Q325 marks

circle equation, coordinate geometry

Paper 2 · Q755 marks

scientific notation

Paper 2 · Q945 marks

coordinate geometry, distance, trigonometry

2015 · 6 questions

Paper 1 · Q225 marks

proportion, scientific notation

Paper 1 · Q525 marks

functions, simultaneous equations

Paper 2 · Q225 marks

coordinate geometry, slope, equation of line

Paper 2 · Q425 marks

area of triangle

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Questions come from the official State Examinations Commission papers. Every link opens the original PDF on examinations.ie. The topic packs reproduce the same questions unchanged, with the year, paper and question number printed on each one.