IGCSE Mathematics Higher - Questionbank
The IGCSE Mathematics Higher (A) 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 & the Number System
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 Percentages, Percentage Change, Compound Interest, Ratio, Proportion...
Topic 2
Equations, Formulae, and Identities
Topic 2 All
All Questions in Topic 2 Equations, Formulae, and Identities
RV Free
Expressions & Formulae
Term, Expression, Simplify, Collect Like Terms, Expand, Factorise, Index Laws, Formulae...
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Linear Equations
Solve, Equals, Equation, Expand, Simplify, Algebraic Fractions, Forming Equations...
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Simultaneous Equations
Elimination, Substitution, 1 Linear and 1 Quadratic, Solving Graphically...
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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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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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Differentiation
Differentiation, Rate of Change, Turning/Stationary Points, Maxima/Minima, Displacement, Velocity, Acceleration...
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Proof
Algebraic Proof, Even, Odd, Consecutive, Sequence, Pattern...
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Topic 3
Sequences, Functions, and Graphs
Topic 3 All
All Questions in Topic 3 Sequences, Functions, and Graphs
RV Gold
Functions
Domain, Range, Input, Output, Inverse, Composite, Transformations, Translation, Stretch,...
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Coordinate Geometry
Gradient, Intercept, Equation of a Line, Axis, Midpoint, Parallel, Perpendicular, Bisector...
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Topic 4
Geometry & Trigonometry
Topic 4 All
All Questions in Topic 4 Geometry & Trigonometry
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Sequences
Arithmetic Sequences, Sum of a Sequence, Term, Difference, nth term, Patterns in Diagrams...
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Construction & Scale Drawing
Construction, Scale Drawing, 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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Units, Surface Area, and Volume
Converting Units, Surface Area, Volume, Faces, Formulae, Cuboid, Pyramid, Sphere...
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Area & Perimeter of Polygons
Area, Perimeter, Polygons, Compound Shapes, Parallelogram, Trapezium...
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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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Trigonometric Graphs
Trigonometric Functions, Multiple Values, Domain, Range, Transformations, Stretch, Translation...
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Area & Perimeter of Circles
Circumference, Radius, Diameter, Semicircle, Sectors, Arcs, Pi...
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Topic 5
Vectors & Transformations
Topic 5 All
All Questions in Topic 5 Vectors & Transformations
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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 6
Statistics & Probability
Topic 6 All
All Questions in Topic 6 Statistics & Probability
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Probability
Probability Scale, Combined Events, Venn, Conditional, Tree Diagrams, Sample Space, Two-Way Tables...
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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
Cumulative Frequency Curve, Histogram, Frequency Density...
RV Gold
More IGCSE Mathematics Higher 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.