IGCSE Mathematics Extended - Questionbank
The IGCSE Mathematics Extended 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
Number
Integers, Fractions, Decimals, and Percentages
Integers, Prime, Fractions, Decimals, Recurring Decimals, Percentages, Converting FDP, Factors, Multiples, HCF, LCM...
Sets, Rounding, Estimation, and Bounds
Sets, Venn, Intersection, Union, Complement, Notation, Estimation, Upper/Lower Bounds, Limits of Accuracy...
Using a Calculator, Time, Money, and Rates
Using a Calculator, Time, Money, Speed, Density, Rates, Ratio, Proportion, Contextual...
Powers, Roots, Indices, Standard Form, and Surds
Powers, Roots, Indices, Index Laws, Negative Powers, Standard Form, Surds, Rationalise Denominator...
Percentages, Interest, Ratio, Proportion, and Growth
Percentages, Repeated/Reverse, Percentage Change, Compound/Simple Interest, Ratio, Proportion, Growth, Decay...
Topic 2
Algebra & Graphs
Linear Equations
Solve, Equals, Equation, Expand, Simplify, Algebraic Fractions, Forming Equations...
RV Free
Expressions & Formulae
Term, Expression, Simplify, Collect Like Terms, Expand, Factorise, Index Laws, Formulae...
RV Free
Simultaneous Equations
Elimination, Substitution, 1 Linear and 1 Quadratic, Solutions...
RV Free
Quadratics
Factorising, Completing the Square, Quadratic Formula, Problem Solving, Maximum/Minimum Value...
RV Free
Inequalities
Solving Inequalities, Double Inequalities, Graphing Inequalities, Shading Regions, Solving Quadratic Inequalities...
RV Free
Sequences
Patterns in Diagrams, Linear Sequence, Quadratic/Cubic Sequence, nth term, term-to-term rule...
RV Free
Proportion & Practical Graphs
Currency Conversion, Distance/Speed-Time Graphs, Direct/Inverse Proportion...
RV Free
Plotting Graphs
Plotting Graphs, Linear, Quadratic, Exponential, Reciprocal, Table of Values, Solve Equations by Drawing Lines...
RV Free
Differentiation
Power Rule, Differentiation, Rate of Change, Turning/Stationary Points, Maxima, Minima,1st and 2nd Derivative Test...
RV Free
Topic 3
Coordinate Geometry
Coordinate Geometry
Gradient, Intercept, Equation of a Line, Axis, Midpoint, Parallel, Perpendicular, Bisector...
RV Gold
Topic 4
Geometry
Construction & Scale Drawing
Construction, Scale Drawings Scales, Bearings, Nets, Measure, Draw...
RV Gold
Symmetry, Angles, and Similarity
Angle Reasoning, Polygons, Reflective, Rotational Symmetry, Length, Area, Volume Scale Factor...
RV Gold
Circle Theorems
Tangent, Chord, Alternate Segment, Cyclic Quadrilateral, Angle Subtended by a Diameter...
RV Gold
Topic 5
Mensuration
Units, Surface Area, and Volume
Converting Units, Surface Area, Volume, Faces, Formulae, Cuboid, Pyramid, Sphere...
RV Gold
Area & Perimeter of Polygons
Area, Perimeter, Polygons, Compound Shapes, Parallelogram, Trapezium...
RV Gold
Area & Perimeter of Circles
Circumference, Radius, Diameter, Semicircle, Sectors, Arcs, Pi...
RV Gold
Topic 6
Trigonometry
Right-Angled Triangles
Pythagoras, Trigonometric Ratios, SOH CAH TOA, Sine, Tangent, Cosine, Inverse...
RV Gold
Non Right-Angled Triangles
Sine & Cosine Rules, Area of Triangle, Ambiguous Case, Bearings...
RV Gold
3D Trigonometry
Angle Between Line and Plane, Pythagoras, Trigonometric Ratios, Volume of Prism...
RV Gold
Exact Values & Trigonometric Functions
Exact Values, Trigonometric Functions & Equations, Multiple Values, Domain, Range...
RV Gold
Topic 7
Transformations & Vectors
Transformations
Reflection, Rotation, Enlargement, Scale Factor, Translation Vector, Negative Scale Factor...
RV Gold
Vectors
Add, Subtract, and Multiply by Scalar, Add and Subtract Vectors, Magnitude, Position Vectors, Proof...
RV Gold
Topic 8
Probability
Probability
Probability Scale, Combined Events, Venn, Conditional, Tree Diagrams, Sample Space, Two-Way Tables...
RV Gold
Topic 9
Statistics
Data, Averages, and Range
Mean, Median, Mode, Range, Frequency Table, Tally Table, Two-Way Tables, Grouped Frequency Table...
RV Gold
Statistical Charts
Scattergraph, Cumulative Frequency Curve, Histogram, Frequency Density...
RV Gold
More IGCSE Mathematics Extended 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.