Leaving Cert Maths: Calculus questions

Differentiation and integration and their applications: tangents, rates of change, optimisation, stationary points and area under curves.

95 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.

Calculus 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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0 of 0 doneSaved on this device.

2025 · 6 questions

Paper 1 · Q850 marks

financial maths, geometry

Paper 1 · Q1050 marks

sequences, induction, coordinate geometry

Paper 2 · Q230 marks

coordinate geometry, circles

2024 · 9 questions

Paper 1 · Q530 marks

sequences and series, arithmetic sequences, geometric sequences

Paper 1 · Q750 marks

financial maths, income tax, mortgages, exponential functions

Paper 1 · Q850 marks

functions, graphs, trigonometric functions, modelling

Paper 1 · Q950 marks

geometry, volume, algebra, rearranging formulae

Paper 1 · Q1050 marks

inequalities, functions, transformations

Paper 2 · Q850 marks

geometry, volume of sphere, cones, similar triangles

Paper 2 · Q950 marks

coordinate geometry, circles, lines, perpendicular distance

2023 · 8 questions

Paper 1 · Q230 marks

quadratics, transformations of functions

Paper 1 · Q530 marks

functions, injective, surjective

Paper 1 · Q950 marks

number theory, factors, graphs, geometry

Paper 1 · Q1050 marks

sequences and series, geometry, area

Paper 2 · Q750 marks

trigonometry, sine rule, trigonometric functions

Paper 2 · Q950 marks

geometry, area, cosine rule, coordinate geometry, circles

2022 · 7 questions

Paper 1 · Q230 marks

simultaneous equations

Paper 1 · Q530 marks

polynomials, factor theorem

Paper 1 · Q750 marks

polynomials, function transformations

Paper 1 · Q850 marks

trigonometric functions, periodic functions, trigonometric equations

Paper 1 · Q1050 marks

logarithmic functions, modelling

Paper 2 · Q330 marks

circles, coordinate geometry

2021 · 6 questions

Paper 1 · Q530 marks

completing the square, quadratic inequalities

Paper 1 · Q630 marks

cubic functions, graph interpretation

Paper 1 · Q850 marks

cubic functions, modelling

Paper 1 · Q950 marks

exponential functions, logarithms

Paper 1 · Q1050 marks

trigonometric functions, modelling, volume of a cylinder

Paper 2 · Q950 marks

trigonometry, cosine rule, trigonometric functions

Show 6 earlier years (2015 to 2020)

2020 · 6 questions

Paper 1 · Q425 marks

cubic functions, line equation

Paper 1 · Q625 marks

logarithmic functions

Paper 1 · Q955 marks

exponential functions, logarithms

Paper 2 · Q225 marks

circle, coordinate geometry

Paper 2 · Q925 marks

coordinate geometry, pythagoras

2019 · 6 questions

Paper 1 · Q325 marks

factorisation, logarithms

Paper 1 · Q425 marks

cubic functions, roots

Paper 1 · Q745 marks

geometric series, sequences

Paper 1 · Q850 marks

trigonometric functions

Paper 1 · Q955 marks

functions, graphs

Paper 2 · Q325 marks

circle, coordinate geometry

2018 · 6 questions

Paper 1 · Q625 marks

inverse functions

Paper 1 · Q755 marks

logarithmic functions, graphs

Paper 1 · Q840 marks

normal distribution curve

Paper 1 · Q955 marks

geometric sequences, logarithms, sum to infinity

Paper 2 · Q860 marks

sampling distribution, confidence interval, geometric series

2017 · 3 questions

Paper 1 · Q325 marks

composite functions

Paper 1 · Q625 marks

exponential functions, graphs

Paper 1 · Q755 marks

exponential functions, logarithms

2016 · 6 questions

Paper 1 · Q740 marks

quadratic functions

Paper 1 · Q855 marks

quadratic functions, transformations, indices

Paper 1 · Q955 marks

geometric series, sequences, surds

Paper 2 · Q225 marks

coordinate geometry, line, circle

Paper 2 · Q845 marks

trigonometric functions, periodic functions, graphs

2015 · 7 questions

Paper 1 · Q325 marks

trapezoidal rule

Paper 1 · Q750 marks

cubic functions, symmetry

Paper 1 · Q950 marks

trigonometric functions

Paper 2 · Q425 marks

coordinate geometry, circles

Paper 2 · Q740 marks

geometry, circles, area

Calculus 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 · 2 questions

Paper 1 · Q430 marks

linear equations

Paper 1 · Q850 marks

quadratic functions, graphs

2024 · 3 questions

Paper 1 · Q530 marks

algebraic fractions

Paper 1 · Q750 marks

cubic functions, exponential functions

Paper 2 · Q430 marks

coordinate geometry, circles

2023 · 3 questions

Paper 1 · Q430 marks

functions, graph reading

Paper 1 · Q630 marks

quadratic functions, expanding brackets, quadratic formula

Paper 1 · Q750 marks

formula manipulation, rearranging equations, linear models

2022 · 3 questions

Paper 1 · Q430 marks

graph interpretation

Paper 1 · Q750 marks

cubic function, graph plotting, modelling

Paper 1 · Q1050 marks

quadratic function, graph plotting, percentages

2021 · 1 question

Show 6 earlier years (2015 to 2020)

2020 · 3 questions

Paper 1 · Q855 marks

quadratic functions, percentages

Paper 2 · Q425 marks

circle equation, coordinate geometry

2019 · 2 questions

Paper 1 · Q325 marks

functions, graphing

Paper 1 · Q755 marks

quadratic functions, graphing

2018 · 3 questions

Paper 1 · Q525 marks

quadratic functions, coordinate geometry

Paper 1 · Q865 marks

cubic functions, graphing

Paper 2 · Q425 marks

coordinate geometry, circle equation

2017 · 2 questions

Paper 1 · Q325 marks

quadratic equations, turning points

Paper 1 · Q845 marks

quadratic functions, graphing

2016 · 2 questions

Paper 1 · Q850 marks

quadratic functions, graphing

2015 · 1 question

Paper 1 · Q850 marks

quadratic functions, graphing

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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.