LEAVING CERT HIGHER LEVEL · MATHS

2017 — Paper 1

300 marks · full worked video solutions by Paul

📄 View exam paper ☑ Marking scheme

Section A · Concepts & Skills

Q125 marks

Functions & GraphsAlgebra

📚 3 tutorials for this question

Functions and Graphs 3 — Vertex form / Completing the Square Functions and Graphs 2 — Shapes of Quadratic Functions Algebra 9 — Nature of Quadratic Graphs

Q225 marks

Complex Numbers

📚 5 tutorials for this question

Complex Numbers 13 — Converting to Polar Form and Applying De Moivre’s Theorem Complex Numbers 12 — Introduction to De Moivre’s Theorem Complex Numbers 10 — Introduction to Polar Form Complex Numbers 11 — Rules for Polar Form Complex Numbers 2 — Addition, Subtraction, Multiplication

Q325 marks

DifferentiationFunctions & Graphs

📚 5 tutorials for this question

Differentiation 2 — First Principles (the limit definition)Functions and Graphs 10 — Limits Functions and Graphs 4 — Composite Functions Differentiation 8 — Chain Rule Differentiation 9 — Logs

Q425 marks

Sequences & SeriesIndices & Logs

📚 5 tutorials for this question

Sequences & Series 5 — Geometric Sequences 1 (Tₙ + Sₙ formula introduction)Sequences & Series 7 — Geometric Sequences 3 Indices and Logs 5 — Unknown in the Power / Natural Log Sequences & Series 8 — Geometric Sequences 4 (Sum to Infinity)Sequences & Series 14 — Convergence

Q525 marks

AlgebraDifferentiationFunctions & Graphs

📚 8 tutorials for this question

Algebra 11 — Solving Cubic Equations Algebra 13 — Long Division Algebra 2 — Factorising Quadratics Differentiation 15 — Turning Points / Max & Min Points Differentiation 13 — Second Derivative Differentiation 1 — Introduction Algebra 12 — Nature of Cubic Roots Functions and Graphs 9 — Drawing Graphs

Q625 marks

DifferentiationFunctions & GraphsIntegration

📚 5 tutorials for this question

Differentiation 5 — Exponentials Functions and Graphs 9 — Drawing Graphs Integration 12 — Area between a curve and the x-axis Integration 7 — With Limits (definite integrals)Integration 3 — Exponentials

Section B · Contexts & Applications

Q755 marks

Sapphire City and Avalon Populations

DifferentiationIndices & LogsIntegration

📚 7 tutorials for this question

Differentiation 5 — Exponentials Indices and Logs 5 — Unknown in the Power / Natural Log Indices and Logs 1 — Indices Integration 11 — Average Value Integration 3 — Exponentials Integration 7 — With Limits Differentiation 18 — Rates of Change

Q855 marks

Loan Repayment, Credit Card, Credit Union

Financial MathsSequences & SeriesIndices & Logs

📚 7 tutorials for this question

Financial Maths 7 — Proof of Amortisation Formula Financial Maths 6 — Annuities (Paying Back)Financial Maths 3 — Time Value of Money Sequences and Series 5 — Geometric Sequences 1 Financial Maths 1 — Simple Interest Financial Maths 4 — Rate Conversion Indices and Logs 5 — Unknown in the Power / Natural Log

Q940 marks

Tide Model

Trigonometry

📚 9 tutorials for this question

Trigonometry 3.6 — Drawing Graphs Accurately Trigonometry 3.1 — Shapes of Trigonometric Graphs Trigonometry 3.4 — Changing the Midline Trigonometry 3.2 — Changing the Amplitude Trigonometry 3.3 — Changing the Period Trigonometry 2.5 — Coefficient In Front Of The Angle Trigonometry 2.9 — Use The Calculator To Find The Reference Angle Trigonometry 2.4 — More Than Two Answers to Unit Circle Trigonometry 2.3 — Radians and the Unit Circle