LEAVING CERT HIGHER LEVEL · MATHS

2021 — Paper 2

220 marks · full worked video solutions by Paul

📄 View exam paper ☑ Marking scheme

Section A · Concepts & Skills

Q130 marks

Bernoulli Trials

Probability

📚 1 tutorials for this question

Probability 8 — Bernoulli Trials

Q230 marks

Coordinate Geometry of the Line

Co-ord GeometryAlgebra

📚 4 tutorials for this question

The Line 1 — JC Revision The Line 5 — Perpendicular Distance from a Point to a Line Algebra 19 — Simultaneous Equations by Substitution The Line 3 — Dividing a Line into a Specific Ratio

Q330 marks

Coordinate Geometry of the Circle

Co-ord GeometryGeometryTrigonometry

📚 4 tutorials for this question

The Circle 1 — Introduction Geometry 1.1 — Axioms, Theorems, Corollaries Trigonometry 1.1 — Pythagoras’ Theorem The Circle 5 — Intersecting and Touching Circles

Q430 marks

Trigonometry

Trigonometry

📚 5 tutorials for this question

Trigonometry 4.1 — Compound Angle Formula Trigonometry 4.2 — Double Angle Formula Trigonometry 4.5 — Trig Proof 1 (Pythagorean Identity)Trigonometry 2.4 — More Than Two Answers to the Unit Circle Trigonometry 2.5 — Coefficient in Front of the Angle

Q530 marks

Solids of Revolution + Speed/Distance Word Problem

Area & VolumeAlgebra

📚 2 tutorials for this question

AVM 1.1 — JC Revision Algebra 14 — Manipulation of Formula

Q630 marks

Formal Geometry Proofs

ProofsGeometry

📚 4 tutorials for this question

Paper 2 Proofs §16 — Proof of Theorem 13 Geometry 1.14 — Proof of Theorem 13 Geometry 1.16 — Similar Triangles Geometry 1.1 — Axioms, Theorems, Corollaries

Section B · Contexts & Applications

Q750 marks

Triathlon Course (Non-right-angled Triangle)

Trigonometry

📚 4 tutorials for this question

Trigonometry 1.6 — Cosine Rule Trigonometry 1.7 — Area of a Non-right-angled Triangle Trigonometry 1.2 — Sin Cos Tan Trigonometry 1.3 — Sketching Right-angled Triangles

Q850 marks

Statistics: Normal Distribution + Hypothesis Test + Probability

StatisticsProbability

📚 8 tutorials for this question

Statistics 13 — z-scores 5: Standardising Formula Statistics 12 — z-scores 4 Statistics 11 — z-scores 3 Statistics 14 — z-scores 6: Standardising Sample Means Statistics 19 — Hypothesis Testing Statistics 20 — `p`-values and Critical Regions Probability 3 — Independent Events / Conditional Probability Probability 5 — Permutations

Q950 marks

Aeroplane Navigation + AC Voltage

TrigonometryDifferentiation

📚 6 tutorials for this question

Trigonometry 1.5 — Sine Rule Trigonometry 3.2 — Changing the Amplitude Trigonometry 3.3 — Changing the Period Trigonometry 2.4 — More Than Two Answers to the Unit Circle Differentiation 3 — Trigonometric Functions Differentiation 8 — Chain Rule

Q1050 marks

Blood Donors + Expected Value

ProbabilityIndices & LogsAlgebra

📚 4 tutorials for this question

Probability 8 — Bernoulli Trials Indices and Logs 5 — Unknown in Power / Natural Log Algebra 6 — Inequalities Probability 9 — Relative Frequency / Expected Value