LEAVING CERT HIGHER LEVEL · MATHS

2020 — Paper 1

300 marks · fully worked video solutions

📄 View exam paper ☑ Marking scheme

Section A · Concepts & Skills

Q125 marks

Algebra

📚 4 relevant video tutorials

Algebra 13 — Long Division Algebra 15 — Modulus Equations Algebra 8 — Quadratic Graphs Algebra 9 — Nature of Quadratic Graphs

Q225 marks

Complex NumbersSequences & Series

📚 2 relevant video tutorials

Complex Numbers 3 — Division and Conjugates Complex Numbers 13 — Converting to polar form and applying De Moivre's theorem

Q325 marks

Functions & GraphsIndices & LogsAlgebra

📚 2 relevant video tutorials

Indices and Logs 3 — Rules of Logs Part 2 Functions and Graphs 4 — Composite functions

Q425 marks

Differentiation

📚 3 relevant video tutorials

Differentiation 1 — Introduction Differentiation 15 — Turning Points / Maximum and Minimum points (the second-derivative test for max/min discrimination)Differentiation 17 — Points of Inflection

Q525 marks

Financial MathsProofsSequences & Series

📚 1 tutorial for this question

Financial Maths 6 — Annuities (Paying Money Back)

Q625 marks

DifferentiationIntegrationIndices & Logs

📚 3 relevant video tutorials

Integration 12 — Area between a curve and the x-axis Differentiation 2 — First Principles Differentiation 9 — Logs

Section B · Contexts & Applications

Q750 marks

Triangular Numbers

Sequences & SeriesAlgebraInduction

📚 3 relevant video tutorials

Algebra 2 — Factorising Quadratic Equations Algebra 4 — Revision Of Junior Cert Fractions Induction 5 — Series

Q845 marks

Rectangle in a Circle + Streetlight Shadow

TrigonometryComplex NumbersCoordinate GeometryDifferentiation

📚 4 relevant video tutorials

Differentiation 15 — Turning Points / Maximum and Minimum points (the second-derivative test for max/min discrimination)Differentiation 20 — Rate Problems Trigonometry 2.1 — Deriving the Unit Circle Trigonometry 4.2 — Double Angle Formula

Q955 marks

Bacteria Colony Growth

Indices & LogsIntegrationDifferentiationAlgebra

📚 3 relevant video tutorials

Indices and Logs 5 — Unknown in the Power / The Natural Log Differentiation 5 — Exponentials Integration 11 — Average Value