Cambridge (CIE) IGCSE International Maths: Extended
Exam Questions

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

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

Set Notation & Venn Diagrams

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

Simplifying Surds, Rationalising Denominators

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

Ratios, Problem Solving with Ratios, Working with Proportion

Speed, Compound Measures

Time, Money Calculations, Exchange Rates, Converting between Units, Squared & Cubic Units

Rounding & Estimation

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, Solving Quadratics using a Calculator

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, Variation Models

Exponential Growth & Decay, Logarithms

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, Cubic Graphs, Reciprocal Graphs, Exponential Graphs

Using Calculators to Sketch Graphs, Using Calculators to Solve Equations, Using Calculators to Solve Inequalities

Representing Inequalities as Regions, Finding Inequalities from Regions

Translations of Graphs

Rotational Symmetry, Lines of Symmetry, 2D Shapes, 3D Shapes, Planes of Symmetry

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

Bearings

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, Periods & Amplitudes, Solving Trig Equations

Introduction to Column Vectors, Representing Vectors as Diagrams, Magnitude of a Vector

Translations, Reflections, Rotations, Enlargements

Basic Probability, Relative & Expected Frequency

Two-Way Tables, Possibility (Sample Space) Diagrams, 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, Using Calculators to Find Averages, Range & Interquartile Range, Comparing Data Sets

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

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

Scatter Graphs & Correlation, Lines of Best Fit, Linear Regression Lines