IGCSE

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

Topic 1 All

All Questions in 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

Topic 2 All

All Questions in Topic 2 Algebra & Graphs


RV Free

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...


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Inequalities

Solving Inequalities, Double Inequalities, Graphing Inequalities, Shading Regions, Solving Quadratic Inequalities...


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Sequences

Patterns in Diagrams, Linear Sequence, Quadratic/Cubic Sequence, nth term, term-to-term rule...


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Proportion & Practical Graphs

Currency Conversion, Distance/Speed-Time Graphs, Direct/Inverse Proportion...


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Plotting Graphs

Plotting Graphs, Linear, Quadratic, Exponential, Reciprocal, Table of Values, Solve Equations by Drawing Lines...


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Functions

Domain, Range, Input, Output, Inverse, Composite...


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Differentiation

Power Rule, Differentiation, Rate of Change, Turning/Stationary Points, Maxima, Minima,1st and 2nd Derivative Test...


RV Free

Topic 3

Coordinate Geometry

Topic 3 All

All Questions in Topic 3 Coordinate Geometry


RV Gold

Coordinate Geometry

Gradient, Intercept, Equation of a Line, Axis, Midpoint, Parallel, Perpendicular, Bisector...


RV Gold

Topic 4

Geometry

Topic 4 All

All Questions in Topic 4 Geometry


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Construction & Scale Drawing

Construction, Scale Drawings Scales, Bearings, Nets, Measure, Draw...


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Symmetry, Angles, and Similarity

Angle Reasoning, Polygons, Reflective, Rotational Symmetry, Length, Area, Volume Scale Factor...


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Circle Theorems

Tangent, Chord, Alternate Segment, Cyclic Quadrilateral, Angle Subtended by a Diameter...


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Topic 5

Mensuration

Topic 5 All

All Questions in Topic 5 Mensuration


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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,...


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Topic 6

Trigonometry

Topic 6 All

All Questions in Topic 6 Trigonometry


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Right-Angled Triangles

Pythagoras, Trigonometric Ratios, SOH CAH TOA, Sine, Tangent, Cosine, Inverse,...


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Non Right-Angled Triangles

Sine & Cosine Rules, Area of Triangle, Ambiguous Case, Bearings...


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3D Trigonometry

Angle Between Line and Plane, Pythagoras, Trigonometric Ratios, Volume of Prism...


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Exact Values & Trigonometric Functions

Exact Values, Trigonometric Functions & Equations, Multiple Values, Domain, Range...


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Topic 7

Transformations & Vectors

Topic 7 All

All Questions in Topic 7 Transformations & Vectors


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Transformations

Reflection, Rotation, Enlargement, Scale Factor, Translation Vector, Negative Scale Factor...


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Vectors

Add, Subtract, and Multiply by Scalar, Add and Subtract Vectors, Magnitude, Position Vectors, Proof...


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Topic 8

Probability

Topic 8 All

All Questions in Topic 8 Probability


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Probability

Probability Scale, Combined Events, Venn, Conditional, Tree Diagrams, Sample Space, Two-Way Tables...


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Topic 9

Statistics

Topic 9 All

All Questions in Topic 9 Statistics


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Data, Averages, and Range

Mean, Median, Mode, Range, Frequency Table, Tally Table, Two-Way Tables, Grouped Frequency Table...


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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.

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Past Papers

Full worked solutions to all past paper questions, taught by experienced IB instructors.

Coming Soon