LEAVING CERT HIGHER LEVEL · MATHS

2018 — Paper 1

300 marks · fully worked video solutions

📄 View exam paper ☑ Marking scheme

Section A · Concepts & Skills

Q125 marks

Algebra

📚 2 relevant video tutorials

Algebra 18 — Simultaneous Equations in Three Variables Algebra 7 — Rational Inequalities

Q225 marks

Sequences & SeriesAlgebra

📚 3 relevant video tutorials

Algebra 11 — Solving Cubic Equations Sequences and Series 6 — Geometric Sequences 2 Sequences and Series 8 — Geometric Sequences 4

Q325 marks

DifferentiationIntegration

📚 3 relevant video tutorials

Differentiation 19 — Tan of the Angle Made With the Horizontal Differentiation 3 — Trigonometric Functions Integration 11 — Average Value

Q425 marks

Complex NumbersInductionProofs

📚 2 relevant video tutorials

Complex Numbers 16 — Proof of De Moivre's Theorem by Induction Complex Numbers 13 — Converting to polar form and applying De Moivre's theorem

Q525 marks

Sequences & Series

📚 1 tutorial for this question

Sequences and Series 1 — Arithmetic Sequences 1

Q625 marks

AlgebraIntegrationFunctions & Graphs

📚 1 tutorial for this question

Integration 12 — Area between a curve and the x-axis

Section B · Contexts & Applications

Q755 marks

Jack Learns to Type

Indices & LogsFunctions & GraphsDifferentiation

📚 3 relevant video tutorials

Functions and Graphs 9 — Drawing Graphs Indices and Logs 5 — Unknown in the Power / The Natural Log Differentiation 15 — Turning Points / Maximum and Minimum points (the second-derivative test for max/min discrimination)

Q840 marks

The Symmetric Gaussian Density

Functions & GraphsDifferentiation

📚 3 relevant video tutorials

Differentiation 16 — Increasing / Decreasing Curves Differentiation 17 — Points of Inflection Differentiation 5 — Exponentials

Q955 marks

The Sierpinski Triangle

Sequences & SeriesIndices & LogsFunctions & Graphs

📚 5 relevant video tutorials

Sequences and Series 5 — Geometric Sequences 1 Indices and Logs 5 — Unknown in the Power / The Natural Log Functions and Graphs 10 — Limits, convergence, divergence, continuity Sequences and Series 7 — Geometric Sequences 3 Sequences and Series 8 — Geometric Sequences 4