CIE IGCSE Maths: Extended
Exam Questions

Types of Number, Mathematical Operations, Number Operations

Set Notation & Venn Diagrams

Prime Factor Decomposition, HCF & LCM

Powers, Roots & Indices, Standard Form

Basic Fractions, Operations with Fractions

Basic Percentages, Working with Percentages

Interest & Depreciation, Exponential Growth & Decay

Converting between FDP, Ordering FDP

Ratios

Direct & Inverse Proportion

Compound Measures

Time, Currency & Conversion

Rounding & Estimation, Bounds

Using a Calculator

Algebraic Notation & Vocabulary, Algebra Basics

Algebraic Roots & Indices

Expanding Brackets, Factorising, Factorising Quadratics

Solving Linear Equations, Solving Linear Inequalities

Completing the Square, Solving Quadratic Equations, Quadratic Equation Methods

Rearranging Formulae

Simultaneous Equations

Algebraic Fractions, Solving Algebraic Fractions

Forming & Solving Equations, Equations & Problem Solving

Functions Toolkit, Composite & Inverse Functions

Sequences, nth Term

Coordinate Geometry

Straight Line Graphs (y = mx + c), Parallel & Perpendicular Lines

Quadratic Graphs

Types of Graphs, Using Graphs

Graphical Inequalities

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

Differentiation, Applications of Differentiation, Problem Solving with Differentiation

Symmetry, 2D & 3D Shapes, Unit Conversions

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

Bearings, Scale, Constructing a Triangle

Angles at Centre & Semicircles, Chords & Tangents, Cyclic Quadrilaterals, Segment Theorems

Area & Perimeter, Problem Solving with Areas

Area & Circumference of Circles, Arcs & Sectors

Volume, Surface Area

Congruence, Similarity

Pythagoras Theorem, Right-Angled Trigonometry

Sine & Cosine Rules, Area of a Triangle, Applications of Trigonometry

3D Pythagoras & Trigonometry

Trigonometric Graphs, Solving Trig Equations

Introduction to Vectors, Working with Vectors

Translations, Reflections, Rotations, Enlargements

Basic Probability, Relative & Expected Frequency

Two Way Tables, Probability & Venn Diagrams, Probability Tree Diagrams

Conditional Probability

Mean, Median & Mode, Averages from Tables, Range & Quartiles, Comparing Distributions

Stem & Leaf Diagrams, Bar Charts & Pictograms, Pie Charts, Frequency Polygons, Working with Statistical Diagrams

Histograms & Frequency Density

Cumulative Frequency Diagrams, Box Plots

Scatter Graphs