Cambridge (CIE) IGCSE Maths: Extended Exam Questions By Topic

Types of Numbers, Irrational Numbers, Negative Numbers, Mathematical Symbols, Order of Operations (BIDMAS/BODMAS), Addition & Subtraction, Multiplication & Division, Operations with Decimals

Set Notation & Venn Diagrams

Prime Factor Decomposition, Uses of Prime Factor Decomposition, HCF & LCM

Powers & Roots, Laws of Indices, Converting to & from Standard Form, Operations with Standard Form

Basic Fractions, Mixed Numbers & Improper Fractions, Adding & Subtracting Fractions, Multiplying & Dividing Fractions

Basic Percentages, Percentage Increases & Decreases, Reverse Percentages

Simple Interest, Compound Interest, Depreciation, Exponential Growth & Decay

Simplifying Surds, Rationalising Denominators

Converting Fractions, Decimals & Percentages, Recurring Decimals, Ordering Fractions, Decimals & Percentages

Ratios, Problem Solving with Ratios, Working with Proportion

Compound Measures, Speed, Density & Pressure

Time, Money Calculations, Exchange Rates

Rounding & Estimation, Upper & Lower Bounds

Using a Calculator

Algebraic Notation, Algebraic Vocabulary, Substitution, Collecting Like Terms

Algebraic Roots & Indices

Expanding & Simplifying Single Brackets, Expanding Double Brackets, Expanding Triple Brackets, Factorising Out Terms, Factorising by Grouping, Factorising Simple Quadratics, Factorising Harder Quadratics, Difference of Two Squares, Deciding the Factorisation Method

Solving Linear Equations, Solving Linear Inequalities

Solving Quadratics by Factorising, The Quadratic Formula, Completing the Square, Deciding the Quadratic Method

Formulas where Subject Appears Once, Formulas where Subject Appears Twice

Linear Simultaneous Equations, Quadratic Simultaneous Equations

Simplifying Algebraic Fractions, Adding & Subtracting Algebraic Fractions, Multiplying & Dividing Algebraic Fractions, Solving Equations with Algebraic Fractions

Forming Equations from Words, Forming Equations from Shapes, Problem Solving with Equations

Introduction to Functions, Domain & Range, Composite Functions, Inverse Functions

Introduction to Sequences, nth Terms of Linear Sequences, Quadratic Sequences, Other Sequences

Direct Proportion, Inverse Proportion

Coordinates, Midpoint of a Line, Gradient of a Line, Length of a Line

Equations of Straight Lines (y = mx + c), Drawing Straight Line Graphs, Parallel Lines, Perpendicular Lines

Quadratic Graphs

Types of Graphs, Drawing Graphs from Tables, Solving Equations from Graphs, Finding Gradients of Tangents

Representing Inequalities as Regions, Finding Inequalities from Regions

Conversion Graphs, Distance-Time Graphs, Speed-Time Graphs, Rates-of-Change Graphs

Differentiation, Finding Stationary Points & Turning Points, Classifying Stationary Points, Problem Solving with Differentiation

Rotational Symmetry, Lines of Symmetry, 2D Shapes, 3D Shapes, Planes of Symmetry, Converting between Units, Squared & Cubic Units

Basic Angle Properties, Angles in Polygons, Angles in Parallel Lines

Bearings, Scale, Constructing Triangles

Angles at Centre & Circumference, Angle in a Semicircle, Theorems with Chords & Tangents, Angles in Cyclic Quadrilaterals, Angles in the Same Segment, The Alternate Segment Theorem

Perimeter, Area, Adding & Subtracting Areas, Problem Solving with Areas

Area & Circumference of Circles, Arc Lengths & Sector Areas

Volume, Problem Solving with Volumes, Surface Area

Congruence, Similarity, Similar Lengths, Similar Areas & Volumes

Pythagoras Theorem, SOHCAHTOA, Angles of Elevation & Depression, Exact Trig Values

The Sine Rule, The Cosine Rule, Area of a Triangle, Deciding the Trig Rule

3D Pythagoras & Trigonometry

Trigonometric Graphs, Solving Trig Equations

Introduction to Column Vectors, Representing Vectors as Diagrams, Magnitude of a Vector, Position & Displacement Vectors, Finding Vector Paths, Problem Solving with Vectors

Translations, Reflections, Rotations, Enlargements

Basic Probability, Possibility (Sample Space) Diagrams, Relative & Expected Frequency

Two-Way Tables, Probabilities from Venn Diagrams, Probability Tree Diagrams, Combined Probabilities

Conditional Probability, Combined Conditional Probabilities

Discrete & Continuous Data, Mean, Median & Mode, Calculations with the Mean, Averages from Tables, Averages from Grouped Data, Range & Interquartile Range, Comparing Data Sets

Stem & Leaf Diagrams, Bar Charts & Pictograms, Pie Charts, Reading & Interpreting Statistical Diagrams, Comparing Statistical Diagrams

Frequency Density, Drawing Histograms, Interpreting Histograms

Cumulative Frequency, Drawing Cumulative Frequency Diagrams, Interpreting Cumulative Frequency Diagrams

Scatter Graphs & Correlation, Lines of Best Fit