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
FactorisingLong division of cubicsSum/difference of two cubesAlgebraic fractionsCompleting the squarePartial fractionsSimultaneous equations
2
Advanced Algebra — surds, indices, complex & series
Rationalising surdsModulus equationsAbstract inequalitiesIndices (quadratic in disguise)De Moivre — nth rootsSigma notation
3
Sequences, Series & Logs
Arithmetic & geometric seriesSum to infinityRecurring decimalsProof by inductionLimitsLog equationsComposite & inverse functions
4
Calculus — Differentiation & Integration
First principlesChain/product/quotientRelated ratesOptimisationArea between curvesImplicit differentiation
5
Complex Numbers
Modulus & argumentPolar formDe Moivre (powers & roots)Conjugate root theoremComplex-coefficient quadratics
6
Financial Maths, Patterns & Binomial
Future & present valueAER → monthly rateAmortisationQuadratic/cubic patternsBinomial theoremBinomial approximation