LEAVING CERT HIGHER LEVEL · MATHS

2021 — Paper 1

COVID-adjusted sitting · 220 marks · full worked video solutions by Paul

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☑ Marking scheme
Section A · Concepts & Skills — answer any 4
Q130 marks
Complex Numbers
Complex NumbersAlgebra

📚 6 tutorials for this question
Complex Numbers 3 — Division / ConjugatesComplex Numbers 6 — Equating CoefficientsAlgebra 19 — Simultaneous Equations by SubstitutionComplex Numbers 14 — Using De Moivre’s Theorem to Find More Than One AnswerComplex Numbers 10 — Introduction to Polar FormComplex Numbers 12 — Introduction to De Moivre’s Theorem
Q230 marks
Algebra
Algebra

Solution coming soon

📚 4 tutorials for this question
Algebra 15 — Modulus EquationsAlgebra 13 — Long DivisionAlgebra 11 — Solving Cubic EquationsAlgebra 2 — Factorising Quadratics
Q330 marks
Cuboid Volume + Logs Quadratic
AlgebraIndices & Logs

📚 6 tutorials for this question
Algebra 19 — Simultaneous Equations by SubstitutionAlgebra 2 — Factorising QuadraticsAlgebra 9 — Nature of Quadratic GraphsIndices and Logs 7 — Quadratic Equations 2Indices and Logs 6 — Quadratic Equations 1Indices and Logs 2 — Rules of Logs Part 1
Q430 marks
Induction + Arithmetic Sequence
InductionSequences & SeriesNumber Theory

📚 4 tutorials for this question
Induction 4 — DivisibilityInduction 1 — IntroductionSequences and Series 1 — Arithmetic Sequences 1Number Theory 1 — Types of Numbers
Q530 marks
Differentiation
DifferentiationFunctions & GraphsAlgebra

📚 6 tutorials for this question
Differentiation 1 — IntroductionFunctions and Graphs 3 — Vertex Form / Completing the SquareAlgebra 6 — InequalitiesAlgebra 9 — Nature of Quadratic GraphsDifferentiation 3 — Trigonometric FunctionsDifferentiation 14 — Slopes
Q630 marks
Derivative-from-Graph + Max Slope + Anti-derivative
AlgebraFunctions & GraphsDifferentiationIntegration

📚 6 tutorials for this question
Algebra 9 — Nature of Quadratic GraphsFunctions and Graphs 2 — Shapes of Quadratic FunctionsDifferentiation 13 — Second DerivativeDifferentiation 15 — Turning Points / Max & Min PointsIntegration 8 — Finding `f(x)` Given SlopeIntegration 1 — Algebra
Section B · Contexts & Applications — answer any 2
Q750 marks
Pendulum / Geometric Series
Sequences & SeriesIndices & LogsAlgebraTrigonometry

📚 7 tutorials for this question
Sequences and Series 5 — Geometric Sequences 1Sequences and Series 7 — Geometric Sequences 3Indices and Logs 5 — Unknown in Power / Natural LogAlgebra 6 — InequalitiesTrigonometry 1.8 — Sector of a CircleSequences and Series 8 — Geometric Sequences 4Sequences and Series 15 — Sum to Infinity Proof
Q850 marks
Rollercoaster Cubic
AlgebraFunctions & GraphsDifferentiationIntegration

📚 6 tutorials for this question
Algebra 14 — Manipulation of FormulaFunctions and Graphs 9 — Drawing GraphsDifferentiation 1 — IntroductionDifferentiation 15 — Turning Points / Max & Min PointsDifferentiation 17 — Points of InflectionIntegration 11 — Average Value
Q950 marks
Coffee Cooling (Exponential Model + Related Rates)
DifferentiationIndices & Logs

📚 4 tutorials for this question
Differentiation 5 — ExponentialsIndices and Logs 5 — Unknown in Power / Natural LogDifferentiation 8 — Chain RuleDifferentiation 20 — Rate Problems
Q1050 marks
Water Tank + Tree Growth
AlgebraDifferentiation

📚 4 tutorials for this question
Algebra 2 — Factorising QuadraticsAlgebra 9 — Nature of Quadratic GraphsDifferentiation 18 — Rates of ChangeDifferentiation 15 — Turning Points / Max & Min Points