Edexcel IGCSE Maths A: Higher
Exam Questions

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

Set Notation & Venn Diagrams

Types of Number, 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

Compound Interest, Depreciation

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

Rounding & Estimation, Upper & Lower Bounds

Simplifying Surds, Rationalising Denominators

Using a Calculator

Introduction to Ratios, Sharing in a Ratio, Working with Proportion

Ratios & FDP, Multiple Ratios

Exchange Rates, Best Buys

Direct Proportion, Inverse Proportion

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

Completing the Square

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

Formulas where Subject Appears Once, Formulas where Subject Appears Twice

Algebraic Proof

Solving Linear Equations

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

Solving Linear Inequalities, Solving Quadratic Inequalities

Linear Simultaneous Equations, Quadratic Simultaneous Equations

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

Introduction to Sequences, Arithmetic Sequences, Sum of an Arithmetic Series

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

2D 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

Types of Graphs, Quadratic Graphs, Drawing Graphs from Tables, Solving Equations from Graphs, Trigonometric Graphs, Solving Trig Equations

Finding Gradients of Tangents

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

Representing Inequalities as Regions, Finding Inequalities from Regions

Translations of Graphs, Reflections of Graphs, Stretches of Graphs

Differentiation, Finding Stationary Points & Turning Points, Classifying Stationary Points, Problem Solving with Differentiation, Using Differentiation for Kinematics

Time, Converting between Units, Squared & Cubic Units, Compound Measures, Speed, Density & Pressure

Basic Angle Properties, Angles in Polygons, Angles in Parallel Lines, 2D Shapes

Bearings, Scale, Constructing Triangles, Constructions

Angles at Centre & Circumference, Angle in a Semicircle, Theorems with Chords & Tangents, Intersecting Chord Theorem, 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

3D Shapes, Volume, Problem Solving with Volumes, Surface Area

Congruence, Similarity, Similar Lengths, Rotational Symmetry, Lines of Symmetry, Geometrical Proof

Similar Areas & Volumes

Pythagoras Theorem, SOHCAHTOA, Angles of Elevation & Depression

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

3D Pythagoras & Trigonometry

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

Translations, Reflections, Rotations, Enlargements, Combination of Transformations

Discrete & Continuous Data, Mean, Median & Mode, Calculations with the Mean, Averages from Tables, Averages from Grouped Data, Range & Interquartile Range, Comparing Data Sets, Bar Charts & Pictograms, Two-Way Tables, 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

Basic Probability, Sample Space Diagrams, Listing Outcomes, Relative & Expected Frequency

Probabilities from Venn Diagrams, Probability Tree Diagrams

Combined Probability, Conditional Probability, Combined Conditional Probabilities