Further MathsFurther Pure Mathematics
Further calculus
Reduction formulae, advanced limits, Leibniz results, and harder differential equations.
55 worksheets58 questions
Practise
Practice moves from direct fluency towards application, reasoning and synthesis.
- Intro
Inverse functions, Leibniz results and limits
Step 1 · 6 worksheets · 6 questions
- Inverse Sine DifferentiationCalculus Methods · 1 questionPractise in MathLab →
- Differentiate Inverse Hyperbolic SineCalculus Methods · 1 questionPractise in MathLab →
- Leibnitz Theorem With Exponential FactorCalculus Methods · 1 questionPractise in MathLab →
- Leibnitz Theorem With Trigonometric FactorCalculus Methods · 1 questionPractise in MathLab →
- L Hospital S Rule LimitCalculus Methods · 1 questionPractise in MathLab →
- Normal To Inverse Cosine CurveCalculus Methods · 1 questionPractise in MathLab →
- Intro
Improper integrals and advanced integration methods
Step 2 · 7 worksheets · 7 questions
- Improper IntegralCalculus Methods · 1 questionPractise in MathLab →
- Improper Integral By Partial FractionsCalculus Methods · 1 questionPractise in MathLab →
- Mean Value Of A FunctionCalculus Methods · 1 questionPractise in MathLab →
- Partial Fractions And Definite IntegralCalculus Methods · 1 questionPractise in MathLab →
- Tangent Half Angle IdentityCalculus Methods · 1 questionPractise in MathLab →
- Integration Using The Tangent Half Angle SubstitutionCalculus Methods · 1 questionPractise in MathLab →
- Definite Integral Using Tangent Half Angle SubstitutionCalculus Methods · 1 questionPractise in MathLab →
- IntroPractice
Reduction formulae and their applications
Step 3 · 5 worksheets · 5 questions
- Reduction Formula For Sine IntegralsFurther Additional Pure Fp2 Edexcel Set A · 1 questionPractise in MathLab →
- Reduction Formula For Hyperbolic Cosine IntegralsFurther Additional Pure Fp2 Edexcel Set A · 1 questionPractise in MathLab →
- Reduction Formula For Cosecant IntegralsFurther Additional Pure Fp2 Edexcel Set A · 1 questionPractise in MathLab →
- Reduction Formula And Shaded Poster AreaFurther Additional Pure Fp2 Edexcel Set A · 1 questionPractise in MathLab →
- Parametric Surface Area Using A Reduction FormulaFurther Additional Pure Fp2 Edexcel Set A · 1 questionPractise in MathLab →
- Practice
Differential equations and dynamic models
Step 4 · 15 worksheets · 16 questions
- First Order Differential EquationDifferential Equations · 2 questionsPractise in MathLab →
- Substitution In A Differential EquationDifferential Equations · 1 questionPractise in MathLab →
- Bacteria PopulationDifferential Equations · 1 questionPractise in MathLab →
- Pollutant In A PondDifferential Equations · 1 questionPractise in MathLab →
- Second Order Differential EquationDifferential Equations · 1 questionPractise in MathLab →
- Antibody ConcentrationDifferential Equations · 1 questionPractise in MathLab →
- Chemical ReactionDifferential Equations · 1 questionPractise in MathLab →
- Crayfish PopulationsDifferential Equations · 1 questionPractise in MathLab →
- Fairground RideDifferential Equations · 1 questionPractise in MathLab →
- Fox And Rabbit PopulationsDifferential Equations · 1 questionPractise in MathLab →
- Pendulum MotionDifferential Equations · 1 questionPractise in MathLab →
- Salt Water TankDifferential Equations · 1 questionPractise in MathLab →
- Sprung Diving BoardDifferential Equations · 1 questionPractise in MathLab →
- Drug Concentration ModelDifferential Equations · 1 questionPractise in MathLab →
- Vibrating Spring ModelDifferential Equations · 1 questionPractise in MathLab →
- Practice
Numerical approximation methods and models
Step 5 · 9 worksheets · 11 questions
- Second Order Differential Equation ApproximationFurther Additional Pure Fp1 Edexcel Set A · 2 questionsPractise in MathLab →
- Simpson S RuleFurther Additional Pure Fp1 Edexcel Set A · 2 questionsPractise in MathLab →
- Deer Population ApproximationFurther Additional Pure Fp1 Edexcel Set A · 1 questionPractise in MathLab →
- Rabbit Population ApproximationFurther Additional Pure Fp1 Edexcel Set A · 1 questionPractise in MathLab →
- Raindrop Velocity ApproximationFurther Additional Pure Fp1 Edexcel Set A · 1 questionPractise in MathLab →
- Stock Value ApproximationFurther Additional Pure Fp1 Edexcel Set A · 1 questionPractise in MathLab →
- Simpson S Rule And VolumeFurther Additional Pure Fp1 Edexcel Set A · 1 questionPractise in MathLab →
- Pollutant ModelFurther Additional Pure Fp1 Edexcel Set A · 1 questionPractise in MathLab →
- Numerical Approximation And Model ParameterFurther Additional Pure Fp1 Edexcel Set A · 1 questionPractise in MathLab →
- PracticeChallenge
Lengths, areas, surfaces and volumes
Step 6 · 13 worksheets · 13 questions
- Length Of A Logarithmic CurveFurther Additional Pure Fp2 Edexcel Set A · 1 questionPractise in MathLab →
- Angle Of RotationFurther Core Pure Cp1 Edexcel Set A · 1 questionPractise in MathLab →
- Tangent And Volume Of RevolutionFurther Core Pure Cp2 Edexcel Set A · 1 questionPractise in MathLab →
- Surface Area And Width Of A Spinning TopFurther Additional Pure Fp2 Edexcel Set A · 1 questionPractise in MathLab →
- Surface Area Of A Speed BumpFurther Additional Pure Fp2 Edexcel Set A · 1 questionPractise in MathLab →
- Pendant Volume Of RevolutionFurther Core Pure Cp2 Edexcel Set A · 1 questionPractise in MathLab →
- Volume Generated By Rotating A RegionFurther Core Pure Cp2 Edexcel Set A · 1 questionPractise in MathLab →
- Volume Of A Sphere By IntegrationFurther Core Pure Cp1 Edexcel Set A · 1 questionPractise in MathLab →
- Paddling Pool Volume And Filling RateFurther Core Pure Cp2 Edexcel Set A · 1 questionPractise in MathLab →
- Modelling An Arch With A Hyperbolic Cosine CurveFurther Additional Pure Fp2 Edexcel Set A · 1 questionPractise in MathLab →
- Bird Bath ModelFurther Core Pure Cp1 Edexcel Set A · 1 questionPractise in MathLab →
- Vase ModelsFurther Core Pure Cp1 Edexcel Set A · 1 questionPractise in MathLab →
- Wax Candle ModelFurther Core Pure Cp1 Edexcel Set A · 1 questionPractise in MathLab →
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