LCHL Maths – Revision Worksheets (Paper 1)

Revision Worksheets — Paper 1

End-of-year revision sheets covering the whole Leaving Cert Higher Level Paper 1 course — mixed, exam-style practice with a full worked-solution video for each. Work through them once you've covered the topic tutorials: they're a triage check before the exam, not first teaching.

🔒 Included with the LCHL course — sign in to watch the solutions and download the PDFs.

Worksheets in this set

5 6 sheets — each is a PDF plus a full worked-solution video.

1

Algebra

19 questions · solution video 50:46

FactorisingLong division of cubicsSum/difference of two cubesAlgebraic fractionsCompleting the squarePartial fractionsSimultaneous equations

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2

Advanced Algebra — surds, indices, complex & series

12 questions · solution video 46:36

Rationalising surdsModulus equationsAbstract inequalitiesIndices (quadratic in disguise)De Moivre — nth rootsSigma notation

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3

Sequences, Series & Logs

30 questions · solution video 125:57

Arithmetic & geometric seriesSum to infinityRecurring decimalsProof by inductionLimitsLog equationsComposite & inverse functions

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4

Calculus — Differentiation & Integration

30 questions · solution video 113:39

First principlesChain/product/quotientRelated ratesOptimisationArea between curvesImplicit differentiation

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5

Complex Numbers

14 questions · solution video 63:12

Modulus & argumentPolar formDe Moivre (powers & roots)Conjugate root theoremComplex-coefficient quadratics

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6

Financial Maths, Patterns & Binomial

16 questions · solution video 70:44

Future & present valueAER → monthly rateAmortisationQuadratic/cubic patternsBinomial theoremBinomial approximation

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