IGCSE Mathematics Further - Questionbank
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.
Topic 1
Logarithmic Functions & Indices
Expressions, Equations, and Graphs
Log/Exp Equations & Expressions, Log/Exp Graphs, Surds, Rationalising, Index/Log Laws...
Topic 2
The Quadratic Function
Expressions, Equations, and Graphs
Equations, Factorising, Completing the Square, Formula, Solving, Discriminant, Disguised/Hidden Quadratics, Graphs...
Sums & Products of Roots
Sums and Products of Roots of Quadratics, Alpha, Beta, Forming Equations from Roots...
Topic 3
Identities & Inequalities
Topic 3 All
All Questions in Topic 3 Identities & Inequalities
RV Free
Polynomials
Factor & Remainder Theorem, Factorising, Solving, Division, Quotient, Remainder...
RV Free
Simultaneous Equations
Simultaneous Equations, Rational Roots, Logarithms, Exponents, Linear Cubic...
RV Free
Inequalities
Linear, Quadratic, Graphical Representation, Two Variables, Linear Programming...
RV Free
Topic 4
Graphs
Topic 4 All
All Questions in Topic 4 Graphs
RV Gold
Polynomial & Rational Graphs
Rational functions, Linear Denominators, Asymptotes, Intercepts, Reciprocal, Quadratic & Cubic Functions...
RV Gold
Plotting Graphs
Plotting Graphs, Approximate Solutions to Equations, Graphs of Transcendental & Polynomial Functions...
RV Gold
Topic 5
Series
Topic 5 All
All Questions in Topic 5 Series
RV Gold
Arithmetics & Geometric Series
Arithmetic & Geometric Series, General Term, Convergent Series, Infinite Series, Sigma Notation...
RV Gold
Topic 6
The Binomial Series
Topic 6 All
All Questions in Topic 6 The Binomial Series
RV Gold
The Binomial Series
Binomial Theorem, Expansion, Rational Powers, Conditions of Validity, Infinite Series...
RV Gold
Topic 7
Scalar & Vector Quantities
Topic 7 All
All Questions in Topic 7 Scalar & Vector Quantities
RV Gold
Vectors
Scalars & Vectors, Addition, Subtraction, Magnitude, Position, Unit, Ratio, Non-Parallel, Column, i/j...
RV Gold
Topic 8
Rectangular Cartesian Coordinates
Topic 8 All
All Questions in Topic 8 Rectangular Cartesian Coordinates
RV Gold
Coordinate Geometry
Distance between two Points, Dividing a line by Ratio, Gradient, Intercept, Straight Line, Parallel & Perpendicular...
RV Gold
Topic 9 - Calculus
Differentiation
Topic 9 - Calculus All
All Questions in Topic 9 - Calculus Differentiation
RV Gold
Differentiation
Power, Product, Quotient and Chain Rule, Sin, Cos, e, Approximate Rate of Change...
RV Gold
Applications
Stationary Points, Turning Points, Maxima & Minima, Tangents & Normals, Connected Rates of Change, Optimisation...
RV Gold
Topic 9 - Calculus
Integration
Topic 9 - Calculus All
All Questions in Topic 9 - Calculus Integration
RV Gold
Integration
Integrating Polynomials, Sin, Cos, e, Area between Curves, Volume about x and y Axes...
RV Gold
Topic 9 - Calculus
Kinematics
Topic 9 - Calculus All
All Questions in Topic 9 - Calculus Kinematics
RV Gold
Kinematics
Displacement, Distance Travelled, Speed, Velocity, Acceleration, Relationship Between Quantities...
RV Gold
Topic 10
Trigonometry
Topic 10 All
All Questions in Topic 10 Trigonometry
RV Gold
Triangular Measure
Sine Rule, Cosine Rule, Area of a Triangle, 3D problems, Angle between Lines and Planes...
RV Gold
Circular Measure
Degrees, Radians, Arc Length, Sector Area, Chord, Sine Rule, Cosine Rule…
RV Gold
Identities & Equations
Trigonometric Identities, Addition Identities, Solving Equations, Multiple Angles, Unit Circle, Exact Ratios...
RV Gold
More IGCSE Mathematics Further Resources
Practice Exams
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.
Past Papers
Full worked solutions to all past paper questions, taught by experienced IB instructors.