All Questions for Topic 14 - Calculus (Differentiation). 
          Differentiation, Applications

Functions

Function, Relation, Mapping, Domain, Range, One-to-One, Many-to-One, One-to-Many, Many-to-Many, Function Notation...

Properties of Functions

Define & Use Inverse, Composite & Modulus Functions, Notation, Inner & Outer Functions, Sketching & Transforming...

Inverse, Composite, and Linear Modulus Functions

Quadratic Functions

Factorising, Completing the Square, Formula, Solving, Discriminant, Disguised/Hidden Quadratics, Domain, Range...

Quadratic Equations

Polynomials

Division, Factorising, Cubic & Polynomial Equations & Inequalities, Remainder & Factor Theorem, Roots...

Equations, Inequalities, and Graphs

Solving Linear, Quadratic, Cubic, Polynomial Modulus Equations & Inequalities and Graphs

Simultaneous Equations

Solving One Linear and One Non-Linear Equation, Exponential, Logarithmic, Trigonometric Simultaneous Equations...

Non-Linear Simultaneous Equations

Logarithms & Exponents

Working with and simplifying surds, rationalising the denominator...

Surds

Solving Exponential and Logarithmic Equations and Functions, Modeling...

Equations & Functions

Straight Line Graphs

Line Equation, Gradient, Axis Intercepts, Midpoint & Distance between Two Points, Parallel & Perpendicular, Bisector...

Coordinate Geometry of Lines

Determine Unknown Constants in Linear Relationships, Linearising Using Logarithms, Estimating Values...

Linearising Relationships

Coordinate Geometry of a Circle

The Equation of a Circle in Standard & Expanded Form, Interaction of Two Circles, Chords...

Equation of a Circle

Distinct Ways Circles and Lines can Interact, Tangents & Circles, Intersection Points...

Circles & Lines

Circular Measure

Degrees, Radians, Arc Length, Sector Area, Chord, Sine Rule, Cosine Rule, Area of a Triangle…

Circular & Triangular Measure

Trigonometry


Sketching Functions, Amplitude, Period, Domain, Range, Asymptotes, Vertical & Horizontal Stretch & Shift...

Using Trigonometric Identities, Solving Equations, Multiple Angles, Sec/Cosec/Cot, Unit Circle...

Identities & Equations

Permutations & Combinations

Combinations & Permutations, nCr & nPr Formulae, Order, Arrange, Choose, Select, Pick, Factorial, Repetition, Group...

Series

Binomial Theorem, Pascal's Triangle, General Term, Finding Constants, Binomial Coefficients, Products of Binomials...

Binomial Theorem

Arithmetic & Geometric Progressions, Common Difference & Ratio, General Term, Sum & Sum to Infinity...

Sequences & Series

Vectors

Magnitude & Direction, Position Vector, Unit Vector, Add & Subtract Vectors, Resultant & Unit Vectors, Velocity...

Differentiation

Standard Derivatives, Power, Product, Quotient and Chain Rules, Second Derivative, Small Changes...

Tangent & Normal, Stationary Points, Max & Min, 2nd Derivative, Optimisation, Connected Rates of Change...

Applications

Integration

Indefinite Integrals, Integrate Sums of Terms using Power Rule, Integrate 1/x, Integrate Binomials, Sin, Cos, Sec, e, ln

Evaluate a Definite Integral, Upper/Lower Limits, Area Under a Curve, Line & Curve/Two Curves, Signed Areas...

Definite Integrals

Kinematics

Displacement, Distance Travelled, Speed, Velocity, Acceleration, Relationship Between Quantities...

Equations

Graphs of Displacement/Time, Distance/Time, Velocity/Time, Speed/Time, Acceleration/Time, Gradient, Area Under Graph...

Graphs

IGCSE Mathematics Additional - Questionbank

Topic 14 - Calculus All - Differentiation

The 0606 Additional Mathematics course is designed for high-achieving students aiming to study advanced mathematics - including IB Higher Level and A-Level Further Mathematics. The course covers functions, series, trigonometry, and calculus.

Additional

Choose your revision tool! Contains topic quizzes for focused study, Revision Village mock exams covering the whole syllabus, and the revision ladder to precisely target your learning.

The IGCSE Cambridge (CIE) Additional Mathematics (0606) Questionbank is a great source of practice questions, coming from the entire syllabus! Each question comes with a clear markscheme and solution video, with an experienced IGCSE teacher going through the question step-by-step. The questions are organized by topic and arranged by difficulty, making it the perfect resource for studying a particular concept.

A range of skill and examination style questions sorted by topic, arranged by difficulty, with mark schemes and video solutions for every question.

IGCSE Mathematics Additional - Questionbank
Topic 14 - Calculus All - Differentiation

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IGCSE Mathematics Additional - QuestionbankTopic 14 - Calculus All - Differentiation

More IGCSE Mathematics Additional Resources

Questionbank

Practice Exams

Past Papers

IGCSE Mathematics Additional - Questionbank
Topic 14 - Calculus All - Differentiation