LEAVING CERT HIGHER LEVEL · MATHS

2016 — Paper 1

300 marks · fully worked video solutions

📄 View exam paper ☑ Marking scheme

Section A · Concepts & Skills

Q125 marks

Complex Numbers

📚 2 relevant video tutorials

Complex Numbers 8 — Quadratic Equations with Complex Roots (conjugate-pair theorem, sum-and-product, non-real coefficients)Complex Numbers 13 — Converting to polar form and applying De Moivre's theorem

Q225 marks

Algebra

📚 2 relevant video tutorials

Algebra 15 — Modulus Equations Algebra 19 — Simultaneous Equations by Substitution

Q325 marks

Indices & LogsFunctions & GraphsAlgebra

📚 2 relevant video tutorials

Functions and Graphs 9 — Drawing Graphs Indices and Logs 7 — Quadratic Equations 2

Q425 marks

InductionIndices & Logs

📚 2 relevant video tutorials

Indices and Logs 3 — Rules of Logs Part 2 Induction 4 — Divisibility

Q525 marks

AlgebraFunctions & Graphs

📚 3 relevant video tutorials

Algebra 2 — Factorising Quadratic Equations Functions and Graphs 5 — Injective Functions Functions and Graphs 8 — Inverse Functions

Q625 marks

DifferentiationAlgebra

📚 4 relevant video tutorials

Differentiation 14 — Slopes Differentiation 2 — First Principles Differentiation 3 — Trigonometric Functions Differentiation 6 — Product Rule

Section B · Contexts & Applications

Q740 marks

DifferentiationAlgebraIntegration

📚 2 relevant video tutorials

Differentiation 20 — Rate Problems Integration 11 — Average Value

Q855 marks

DifferentiationFunctions & GraphsIndices & Logs

📚 4 relevant video tutorials

Differentiation 15 — Turning Points / Maximum and Minimum points (the second-derivative test for max/min discrimination)Differentiation 19 — Tan of the Angle Made With the Horizontal Functions and Graphs 3 — Vertex form / Completing the square (algebraic technique)Indices and Logs 5 — Unknown in the Power / The Natural Log

Q955 marks

Sequences & SeriesAlgebra

📚 2 relevant video tutorials

Sequences and Series 8 — Geometric Sequences 4 Sequences and Series 5 — Geometric Sequences 1