LEAVING CERT HIGHER LEVEL · MATHS

2015 — Paper 1

300 marks · full worked video solutions by Paul

📄 View exam paper ☑ Marking scheme

Section A · Concepts & Skills

Q125 marks

Sequences & SeriesProofs

📚 4 tutorials for this question

Sequences & Series 5 — Geometric Sequences 1 Sequences & Series 6 — Geometric Sequences 2 Sequences & Series 8 — Geometric Sequences 4 Paper 1 Proof §5 — Sum-to-Infinity formula

Q225 marks

Algebra

📚 3 tutorials for this question

Algebra 11 — Solving Cubic Equations Algebra 13 — Long Division Algebra 9 — Nature of Quadratic Graphs

Q325 marks

Area & VolumeIntegration

📚 3 tutorials for this question

AVM 1.3 — Trapezoidal Rule Integration 7 — Integration with Limits Integration 1 — Algebra

Q425 marks

Complex NumbersSequences & Series

📚 4 tutorials for this question

Complex Numbers 3 — Division and Conjugates Complex Numbers 2 — Addition, Subtraction, Multiplication Sequences & Series 5 — Geometric Sequences 1 Complex Numbers 14 — Using De Moivre’s Theorem to Find More Than One Answer

Q525 marks

AlgebraDifferentiation

📚 5 tutorials for this question

Algebra 17 — Surd Equations Algebra 2 — Factorising Quadratics Differentiation 8 — Chain Rule Differentiation 1 — Introduction Differentiation 15 — Turning Points / Max & Min

Q625 marks

Financial Maths

📚 2 tutorials for this question

Financial Maths 4 — Rate Conversion Financial Maths 6 — Annuities Paying Back (Loans, Mortgages)

Section B · Contexts & Applications

Q750 marks

DifferentiationAlgebraCo-ord Geometry

📚 6 tutorials for this question

Differentiation 1 — Introduction Differentiation 19 — Tan of the Angle With the Horizontal Differentiation 17 — Points of Inflection Differentiation 13 — Second Derivative Algebra 1 — Revision of JC Factorising The Line 3 — Dividing a Line into a Specific Ratio

Q850 marks

Differentiation

📚 3 tutorials for this question

Differentiation 18 — Rates of Change Differentiation 20 — Rate Problems Differentiation 8 — Chain Rule

Q950 marks

TrigonometryDifferentiationIntegration

📚 10 tutorials for this question

Trigonometry 2.3 — Radians and the Unit Circle Trigonometry 3.4 — Changing the Midline Trigonometry 2.4 — More Than Two Answers to Unit Circle Trigonometry 4.4 — Quadratic Equations Differentiation 3 — Trigonometric Functions Differentiation 8 — Chain Rule Trigonometry 3.2 — Changing the Amplitude Differentiation 15 — Turning Points / Max & Min Integration 11 — Average Value Integration 5 — Trigonometry 1