Plotting Graphs, Approximate Solutions to Equations, Graphs of Transcendental & Polynomial Functions... 

Logarithmic Functions & Indices

Log/Exp Equations & Expressions, Log/Exp Graphs, Surds, Rationalising, Index/Log Laws...

Expressions, Equations, and Graphs

The Quadratic Function

Equations, Factorising, Completing the Square, Formula, Solving, Discriminant, Disguised/Hidden Quadratics, Graphs...

Sums and Products of Roots of Quadratics, Alpha, Beta, Forming Equations from Roots...

Sums & Products of Roots

Identities & Inequalities

Factor & Remainder Theorem, Factorising, Solving, Division, Quotient, Remainder...

Polynomials

Simultaneous Equations, Rational Roots, Logarithms, Exponents, Linear Cubic...

Simultaneous Equations

Linear, Quadratic, Graphical Representation, Two Variables, Linear Programming...

Inequalities

Graphs

Rational functions, Linear Denominators, Asymptotes, Intercepts, Reciprocal, Quadratic & Cubic Functions...

Polynomial & Rational Graphs

Plotting Graphs

Series

Arithmetic & Geometric Series, General Term, Convergent Series, Infinite Series, Sigma Notation... 

Arithmetics & Geometric Series

The Binomial Series

Binomial Theorem, Expansion, Rational Powers, Conditions of Validity, Infinite Series...

Scalar & Vector Quantities

Scalars & Vectors, Addition, Subtraction, Magnitude, Position, Unit, Ratio, Non-Parallel, Column, i/j...

Vectors

Rectangular Cartesian Coordinates 

Distance between two Points, Dividing a line by Ratio, Gradient, Intercept, Straight Line, Parallel & Perpendicular...

Coordinate Geometry

Differentiation

Power, Product, Quotient and Chain Rule, Sin, Cos, e, Approximate Rate of Change...

Stationary Points, Turning Points, Maxima & Minima, Tangents & Normals, Connected Rates of Change, Optimisation...

Applications

Integration

Integrating Polynomials, Sin, Cos, e, Area between Curves, Volume about x and y Axes...

Kinematics

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

Trigonometry

Sine Rule, Cosine Rule, Area of a Triangle, 3D problems, Angle between Lines and Planes...

Triangular Measure

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

Circular Measure

Trigonometric Identities, Addition Identities, Solving Equations, Multiple Angles, Unit Circle, Exact Ratios...

Identities & Equations

IGCSE Mathematics Further - Questionbank

The 4PM1 Further Pure 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 algebra, series, trigonometry, and calculus.

Further Pure

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 Pearson Edexcel 4PM1 Further Pure Mathematics IGCSE 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 Further - Questionbank
Plotting Graphs

More IGCSE Mathematics Further Resources

Questionbank

Practice Exams

Past Papers

IGCSE Mathematics Further - QuestionbankPlotting Graphs

More IGCSE Mathematics Further Resources

Questionbank

Practice Exams

Past Papers

IGCSE Mathematics Further - Questionbank
Plotting Graphs