LEAVING CERT HIGHER LEVEL · MATHS

2020 — Paper 1

300 marks · full worked video solutions by Paul

📄 View exam paper ☑ Marking scheme

Section A · Concepts & Skills

Q125 marks

Algebra

📚 7 tutorials for this question

Algebra 13 — Long Division Algebra 11 — Solving Cubic Equations Algebra 10 — Generating a Cubic Equation Given the Roots Algebra 2 — Factorising Quadratics Algebra 9 — Nature of Quadratic Graphs Algebra 15 — Modulus Equations Algebra 7 — Rational Inequalities

Q225 marks

Complex NumbersSequences & Series

📚 6 tutorials for this question

Complex Numbers 3 — Division and Conjugates Complex Numbers 2 — Addition, Subtraction, Multiplication Sequences and Series 5 — Geometric Sequences 1 Complex Numbers 12 — Introduction to De Moivre’s Theorem Complex Numbers 13 — Converting to Polar Form and Applying De Moivre’s Theorem Sequences and Series 6 — Geometric Sequences 2

Q325 marks

Functions & GraphsIndices & LogsAlgebra

📚 6 tutorials for this question

Functions and Graphs 4 — Composite Functions Functions and Graphs 8 — Inverse Functions Indices and Logs 2 — Rules of Logs Part 1 Indices and Logs 8 — Log Problems Indices and Logs 6 — Quadratic Equations 1 Algebra 2 — Factorising Quadratics

Q425 marks

Differentiation

📚 5 tutorials for this question

Differentiation 1 — Introduction Differentiation 14 — Slopes Differentiation 15 — Turning Points / Max & Min Points Differentiation 17 — Points of Inflection Differentiation 13 — Second Derivative

Q525 marks

Financial MathsProofsSequences & Series

📚 5 tutorials for this question

Financial Maths 6 — Annuities (Paying Back)Financial Maths 7 — Amortization Proof Paper 1 Proofs §4 — Amortisation Formula Financial Maths 3 — Time Value of Money Sequences and Series 8 — Geometric Sequences 4

Q625 marks

DifferentiationIntegrationIndices & Logs

📚 6 tutorials for this question

Differentiation 2 — First Principles Differentiation 9 — Logs Differentiation 8 — Chain Rule Integration 2 — Integrating 1/x Integration 7 — Integration with Limits Indices and Logs 2 — Rules of Logs Part 1

Section B · Contexts & Applications

Q750 marks

Triangular Numbers

Sequences & SeriesAlgebraInduction

📚 8 tutorials for this question

Sequences and Series Introduction Sequences and Series 3 — Arithmetic Sequences 3 Algebra 2 — Factorising Quadratics Algebra 4 — Fractions Algebra 5 — Fractions Part 2 Algebra 1 — Revision of JC Factorising Induction 1 — Introduction Induction 5 — Series

Q845 marks

Rectangle in a Circle + Streetlight Shadow

TrigonometryComplex NumbersCo-ord GeometryDifferentiation

📚 8 tutorials for this question

Trigonometry 2.1 — Deriving the Unit Circle Complex Numbers 10 — Introduction to Polar Form The Circle 1 — Introduction Trigonometry 4.2 — Double-Angle Formula Differentiation 15 — Turning Points / Max & Min Points Differentiation 3 — Trigonometric Functions Differentiation 18 — Rates of Change Differentiation 20 — Rate Problems

Q955 marks

Bacteria Colony Growth

Indices & LogsIntegrationDifferentiationAlgebra

📚 8 tutorials for this question

Indices and Logs 2 — Rules of Logs Part 1 Indices and Logs 5 — Unknown in the Power / Natural Log Integration 11 — Average Value Integration 3 — Exponentials Integration 7 — Integration with Limits Differentiation 5 — Exponentials Differentiation 18 — Rates of Change Algebra 6 — Inequalities