Cambridge (CIE) O Level Maths Exam Questions By Topic

Types of Number, Irrational Numbers, Negative Numbers, Mathematical Operations, 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

Introduction to Fractions, Fractions of Amounts, Equivalent & Simplified 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

Introduction to Ratios, Equivalent & Simplified Ratios, Sharing in a Ratio, Problem Solving with Ratios, Working with Proportion

Compound Measures, Speed, Density & Pressure

Time, Money Calculations, Exchange Rates

Rounding to a Given Place Value, Rounding to Significant Figures, 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, Equations with Brackets & Fractions, Equations with Unknowns on Both Sides, 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

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

Solving Simultaneous Equations, Forming Simultaneous Equations

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

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

Midpoint of a Line, Coordinates, 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

Rotational Symmetry, Lines of Symmetry, Planes of Symmetry, Properties of Polygons, Properties of Circles, Properties of 3D Shapes, Nets of Solids, Converting between Units, Squared & Cubic Units

Angles around Points & Lines, Angles in Triangles, Angles in Quadrilaterals, 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

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, 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

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

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