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Year 12 Maths Advanced. A free paper for every topic.

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Year 12 Advanced

7 topics, 96 subtopics

    • Differentiability and ContinuityComing soon
    • Second Derivatives and ConcavityComing soon
    • Stationary Points and Their NatureComing soon
    • Points of InflectionComing soon
    • Curve SketchingComing soon
    • Graphing the First and Second DerivativesComing soon
    • Global Maxima and MinimaComing soon
    • Modelling Optimisation ProblemsComing soon
    • Solving Optimisation ProblemsComing soon
    • Interpreting First and Second Derivatives of RatesComing soon
    • Integrating Rates of ChangeComing soon
    • Exponential Change and dQ/dt = kQComing soon
    • Graphs of Exponential Growth and DecayComing soon
    • Solving Exponential Growth and Decay ProblemsComing soon
    • Velocity and Acceleration from DisplacementComing soon
    • Solving Motion Problems with CalculusComing soon
    • Derivatives of Exponential FunctionsComing soon
    • Derivative of aˣComing soon
    • Chain Rule with Exponential FunctionsComing soon
    • Derivatives of ln x and logₐ xComing soon
    • Chain Rule with Logarithmic FunctionsComing soon
    • Derivatives of sin x and cos xComing soon
    • Derivatives of tan x and Reciprocal Trigonometric FunctionsComing soon
    • Chain Rule with Trigonometric FunctionsComing soon
    • Differentiating Combinations of FunctionsComing soon
    • Tangents and Normals to CurvesComing soon
    • Modelling Reducing Balance LoansComing soon
    • Solving Reducing Balance Loan ProblemsComing soon
    • Effect of Interest Rate and Repayment on Loan DurationComing soon
    • Identifying and Modelling AnnuitiesComing soon
    • Solving Annuity Problems Using Geometric SeriesComing soon
    • Effect of Varying Annuity ParametersComing soon
    • Features of Transformed Trigonometric FunctionsComing soon
    • Graphing Transformed Trigonometric FunctionsComing soon
    • Finding Trigonometric Equations from GraphsComing soon
    • Solving Trigonometric Equations in a DomainComing soon
    • Graphical Problems with Trigonometric FunctionsComing soon
    • Modelling Periodic PhenomenaComing soon
    • Modelling with Functions and TransformationsComing soon
    • Understanding Logarithmic ScalesComing soon
    • Problems Using Logarithmic ScalesComing soon
    • Primitive Functions and the General PrimitiveComing soon
    • Primitives of Sums of PowersComing soon
    • Primitives of (ax + b)ⁿComing soon
    • Finding Functions from Derivatives and Initial ConditionsComing soon
    • Estimating Total Change and the Definite IntegralComing soon
    • Approximating Areas Under CurvesComing soon
    • Definite Integrals Using Geometric FormulasComing soon
    • The Fundamental Theorem of CalculusComing soon
    • Indefinite Integrals of Powers and SumsComing soon
    • Reverse Chain Rule for PowersComing soon
    • Integrating Exponential FunctionsComing soon
    • Exponential Primitives and the Reverse Chain RuleComing soon
    • Integrals Giving LogarithmsComing soon
    • Integrating f′(x)/f(x)Coming soon
    • Integrating Trigonometric FunctionsComing soon
    • Reverse Chain Rule with Trigonometric FunctionsComing soon
    • Evaluating Definite IntegralsComing soon
    • Areas Between a Curve and the x-AxisComing soon
    • Areas Between Two CurvesComing soon
    • Areas Between a Curve and the y-AxisComing soon
    • Areas Using Exponential and Logarithmic ReflectionsComing soon
    • Odd and Even Functions in IntegrationComing soon
    • The Trapezoidal Rule and Computational ToolsComing soon
    • Practical Problems with Integrals and AreasComing soon
    • Discrete Probability DistributionsComing soon
    • Generating Distributions and the Uniform DistributionComing soon
    • Expected Value of a Discrete Random VariableComing soon
    • Variance and Standard Deviation of a Discrete Random VariableComing soon
    • Problems Involving Discrete Random VariablesComing soon
    • Estimating Probabilities for Continuous Random VariablesComing soon
    • Cumulative Distribution Functions and Their GraphsComing soon
    • Properties of Probability Density FunctionsComing soon
    • Mode of a Continuous Random VariableComing soon
    • Relationship Between the PDF and the CDFComing soon
    • Continuous Uniform DistributionComing soon
    • Median and Quartiles of a Continuous Random VariableComing soon
    • Expected Value of a Continuous Random VariableComing soon
    • Variance of a Continuous Random VariableComing soon
    • The Normal Distribution and the Normal CurveComing soon
    • The Empirical RuleComing soon
    • The Normal Probability Density FunctionComing soon
    • Standard Normal Distribution and z-ScoresComing soon
    • Comparing Scores Using z-ScoresComing soon
    • Probabilities Using a z-TableComing soon
    • Finding the Mean or Standard Deviation from a ProbabilityComing soon
    • Making Judgements Using z-Scores and ProbabilitiesComing soon
    • Sequences, Partial Sums and SeriesComing soon
    • Summation NotationComing soon
    • Arithmetic Sequences and the nth TermComing soon
    • Arithmetic SeriesComing soon
    • Arithmetic Models of Linear Growth and DecayComing soon
    • Geometric Sequences and the nth TermComing soon
    • Sum of a Geometric SeriesComing soon
    • Limiting Sums of Geometric SeriesComing soon
    • Geometric Models of Exponential Growth and DecayComing soon

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