Leaving Cert Maths: Functions & Graphs questions

The function concept and its graphs: linear, quadratic, cubic, exponential and logarithmic functions, composition, inverses and transformations.

80 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.

Functions & Graphs 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 · 1 question

Paper 1 · Q230 marks

calculus, differentiation, tangents

2024 · 5 questions

Paper 1 · Q430 marks

calculus, differentiation from first principles, quotient rule

Paper 1 · Q630 marks

polynomials, factor theorem, logarithms

Paper 1 · Q750 marks

financial maths, income tax, mortgages, calculus

Paper 1 · Q850 marks

trigonometric functions, calculus

Paper 1 · Q1050 marks

calculus, integration, inequalities, transformations

2023 · 5 questions

Paper 1 · Q230 marks

calculus, quadratics, limits

Paper 1 · Q530 marks

calculus, differentiation, product rule, chain rule

Paper 1 · Q630 marks

calculus, integration, area between curves, definite integrals

Paper 1 · Q750 marks

calculus, differentiation, integration, rates of change

Paper 1 · Q950 marks

number theory, factors, tangents, calculus, geometry

2022 · 3 questions

Paper 1 · Q750 marks

differentiation, applications of calculus, polynomials

Paper 1 · Q950 marks

logarithms, geometric series, sum to infinity

Paper 1 · Q1050 marks

differentiation, points of inflection

2021 · 4 questions

Paper 1 · Q630 marks

differentiation, integration

Paper 1 · Q850 marks

differentiation, integration

Paper 1 · Q950 marks

logarithms, differentiation, related rates

Paper 1 · Q1050 marks

differentiation, trigonometric functions, volume of a cylinder

Show 6 earlier years (2015 to 2020)

2020 · 5 questions

Paper 1 · Q125 marks

quadratic equations, inequalities, absolute value

Paper 1 · Q325 marks

logarithms, indices

Paper 1 · Q425 marks

differentiation, point of inflection, line equation

Paper 1 · Q625 marks

differentiation from first principles, integration

Paper 1 · Q955 marks

logarithms, differentiation, integration

2019 · 4 questions

Paper 1 · Q225 marks

proof by induction

Paper 1 · Q425 marks

integration, roots

Paper 1 · Q955 marks

optimisation, differentiation

Paper 2 · Q225 marks

coordinate geometry, line

2018 · 2 questions

Paper 1 · Q625 marks

integration, area between curves

Paper 1 · Q755 marks

differentiation, optimisation

2017 · 7 questions

Paper 1 · Q125 marks

completing the square, roots

Paper 1 · Q325 marks

differentiation from first principles, chain rule

Paper 1 · Q425 marks

geometric series, surds

Paper 1 · Q525 marks

factor theorem

Paper 1 · Q625 marks

integration, area between curves

Paper 1 · Q755 marks

differentiation, definite integration, logarithms

Paper 1 · Q940 marks

trigonometric functions, periodic functions

2016 · 5 questions

Paper 1 · Q525 marks

pythagoras, quadratic equations

Paper 1 · Q740 marks

related rates, average value of a function

Paper 1 · Q855 marks

differentiation, tangents, transformations, indices

Paper 2 · Q845 marks

trigonometric functions, periodic functions, calculus

2015 · 2 questions

Paper 1 · Q750 marks

calculus, differentiation, symmetry

Paper 2 · Q945 marks

trigonometry, cosine rule, applications

Functions & Graphs 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 · 3 questions

Paper 1 · Q530 marks

simultaneous equations, quadratic equations

Paper 1 · Q850 marks

differentiation, optimisation

2024 · 4 questions

Paper 1 · Q630 marks

trapezoidal rule, percentage error

Paper 1 · Q750 marks

differentiation

Paper 1 · Q850 marks

speed, arithmetic sequences

Paper 1 · Q950 marks

exchange rates, percentages, quadratic equations

2023 · 4 questions

Paper 1 · Q430 marks

differentiation, tangent line

Paper 1 · Q630 marks

calculus minimum, expanding brackets, quadratic formula

Paper 1 · Q750 marks

formula manipulation, rearranging equations, differentiation

Paper 1 · Q950 marks

percentage error, scientific notation

2022 · 5 questions

Paper 1 · Q430 marks

differentiation, tangent line

Paper 1 · Q530 marks

scientific notation, unit conversion, inequalities

Paper 1 · Q750 marks

differentiation

Paper 1 · Q950 marks

depreciation, financial maths, percentages

Paper 1 · Q1050 marks

differentiation, percentages

2021 · 2 questions

Paper 1 · Q530 marks

calculus, differentiation

Show 6 earlier years (2015 to 2020)

2020 · 3 questions

Paper 1 · Q525 marks

quadratic equations, transformations

Paper 1 · Q625 marks

differentiation, tangents

Paper 1 · Q855 marks

differentiation, percentages

2019 · 3 questions

Paper 1 · Q325 marks

differentiation

Paper 1 · Q755 marks

differentiation

Paper 1 · Q940 marks

financial maths, currency exchange

2018 · 2 questions

Paper 1 · Q525 marks

differentiation, coordinate geometry

Paper 1 · Q865 marks

differentiation

2017 · 3 questions

Paper 1 · Q325 marks

quadratic equations, differentiation

Paper 1 · Q845 marks

differentiation

Paper 1 · Q955 marks

percentage error, formula rearrangement

2016 · 4 questions

Paper 1 · Q425 marks

differentiation, tangent

Paper 1 · Q755 marks

compound interest, financial maths

Paper 1 · Q850 marks

differentiation, optimisation

2015 · 4 questions

Paper 1 · Q425 marks

quadratic equations

Paper 1 · Q525 marks

simultaneous equations, area

Paper 1 · Q850 marks

differentiation

Paper 1 · Q930 marks

financial maths

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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.