LEAVING CERT HIGHER LEVEL · MATHS

2022 — Paper 1

220 marks · full worked video solutions by Paul

📄 View exam paper ☑ Marking scheme

Section A · Concepts & Skills

Q130 marks

Algebra

📚 3 tutorials for this question

Algebra 9 — Nature of Quadratic Graphs / Roots Algebra 1 — Revision of JC Factorising Algebra 13 — Long Division

Q230 marks

IntegrationAlgebra

📚 5 tutorials for this question

Integration 10 — Anti-derivatives Integration 1 — Algebra Integration 12 — Area between a Curve and the x-axis Integration 7 — Integration with Limits Algebra 18 — Simultaneous Equations (three variables)

Q330 marks

Complex Numbers

Complex Numbers

📚 6 tutorials for this question

Complex Numbers 2 — Addition, Subtraction, Multiplication Complex Numbers 4 — Argand Plane and Modulus Complex Numbers 5 — Modulus and Conjugates Complex Numbers 12 — Introduction to De Moivre’s Theorem Complex Numbers 13 — Converting to Polar Form and Applying De Moivre Complex Numbers 10 — Introduction to Polar Form

Q430 marks

Indices & LogsSequences & SeriesAlgebra

📚 4 tutorials for this question

Indices & Logs 1 — JC Revision Sequences & Series 1 — Arithmetic Sequences 1 Indices & Logs 5 — Unknown in the Power / Natural Log Algebra 2 — Factorising Quadratics

Q530 marks

DifferentiationAlgebra

📚 6 tutorials for this question

Differentiation 1 — Introduction Algebra 11 — Solving Cubic Equations Algebra 13 — Long Division Algebra 2 — Factorising Quadratics Algebra 6 — Inequalities Algebra 9 — Nature of Quadratic Graphs / Roots

Q630 marks

Differentiation

📚 3 tutorials for this question

Differentiation 2 — First Principles Differentiation 18 — Rates of Change Differentiation 21 — Shapes of Derivatives

Section B · Contexts & Applications

Q750 marks

Hannah’s training session

DifferentiationFunctions & Graphs

📚 5 tutorials for this question

Differentiation 1 — Introduction Differentiation 18 — Rates of Change Differentiation 15 — Turning Points / Max & Min Differentiation 17 — Points of Inflection Functions & Graphs 4 — Composite Functions

Q850 marks

Ferris wheel

TrigonometryIntegration

📚 8 tutorials for this question

Trigonometry 2.3 — Radians and the Unit Circle Trigonometry 3.3 — Changing the Period Trigonometry 3.4 — Changing the Midline Trigonometry 3.2 — Changing the Amplitude Trigonometry 2.4 — More Than Two Answers to Unit Circle Trigonometry 2.9 — Use the Calculator to Find the Reference Angle Integration 11 — Average Value Integration 5 — Trigonometry 1

Q950 marks

Drug doses

Indices & LogsSequences & Series

📚 5 tutorials for this question

Indices & Logs 1 — JC Revision Indices & Logs 5 — Unknown in the Power / Natural Log Sequences & Series 5 — Geometric Sequences 1 Sequences & Series 6 — Geometric Sequences 2 Sequences & Series 9 — Geometric Sequences 5

Q1050 marks

Memory model

Indices & LogsDifferentiation

📚 5 tutorials for this question

Indices & Logs 5 — Unknown in the Power / Natural Log Differentiation 9 — Logs Differentiation 16 — Increasing & Decreasing Curves Differentiation 17 — Points of Inflection Indices & Logs 3 — Rules of Logs Part 2