LEAVING CERT HIGHER LEVEL · MATHS

2018 — Paper 2

300 marks · full worked video solutions by Paul

📄 View exam paper ☑ Marking scheme

Section A · Concepts & Skills

Q125 marks

Expected Value with a Competition Twist

Probability

📚 1 tutorials for this question

Probability 9 — Relative Frequency and Expected Value

Q225 marks

The Normal Distribution

Statistics

📚 3 tutorials for this question

Statistics 9 — z-scores 1 Statistics 13 — z-scores 5: The Standardising Formula Statistics 8 — The Empirical Rule

Q325 marks

Counting + Factorial Algebra

Probability

📚 2 tutorials for this question

Probability 5 — Permutations Probability 4 — Factorials

Q425 marks

Trig: Equation with Coefficient + Double-Angle Identity

Trigonometry

📚 4 tutorials for this question

Trigonometry 2.5 — Coefficient in Front of the Angle Trigonometry 2.4 — More Than Two Answers Trigonometry 4.2 — Double Angle Formula Trigonometry 1.2 — Sin, Cos, Tan

Q525 marks

Coordinate Geometry: Parallel Lines + a Touching-Circles Twist

Co-ord Geometry

📚 5 tutorials for this question

The Line 1 — JC Revision The Line 5 — Perpendicular Distance From a Point to a Line The Circle 7 — Tangent at a Point The Circle 5 — Intersecting and Touching Circles The Circle 1 — Introduction

Q625 marks

Geometry: Theorem 12 Proof + Similar Triangles

ProofsGeometryTrigonometry

📚 4 tutorials for this question

Paper 2 Proofs §15 — Proof of Theorem 12 Geometry 1.13 — Proof of Theorem 12 Geometry 1.16 — Similar Triangles Trigonometry 1.1 — Pythagoras’ Theorem

Section B · Contexts & Applications

Q750 marks

The Garden Railing

Sequences & SeriesTrigonometry

📚 3 tutorials for this question

Sequences and Series 5 — Geometric Sequences 1 Sequences and Series 1 — Arithmetic Sequences 1 Trigonometry 1.1 — Pythagoras’ Theorem

Q860 marks

Acme Confectionery (Statistics + Pension Annuity)

StatisticsDifferentiationFunctions & GraphsFinancial Maths

📚 8 tutorials for this question

Statistics 14 — z-scores 6: Standardising Sample Means Statistics 13 — z-scores 5: The Standardising Formula Statistics 17 — Confidence Intervals Differentiation 15 — Turning Points / Max & Min Points Functions and Graphs 3 — Vertex Form / Completing the Square Financial Maths 8 — Pensions Financial Maths 6 — Annuities (Paying Back)Financial Maths 3 — Time Value of Money

Q940 marks

Crank-and-Slider Mechanism

Trigonometry

📚 3 tutorials for this question

Trigonometry 1.5 — Sine Rule Trigonometry 3.1 — Shapes of Trigonometric Graphs Trigonometry 1.6 — Cosine Rule