Cambridge (CIE) IGCSE International Maths: Core Exam Questions By Topic

Types of Numbers, Multiples, Factors & Primes, Squares, Cubes & Roots, Reciprocals

Place Value, Negative & Directed Numbers, Ordering Numbers

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

Set Notation & Venn Diagrams

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

Percentages of Amounts, Percentage Increases & Decreases, Percentage Change

Simple Interest, Compound Interest

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

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

Money Calculations

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

Speed, Compound Measures

Rounding to a Given Place Value, Rounding to Significant Figures, Estimation

Algebraic Notation, Algebraic Vocabulary, Substitution, Collecting Like Terms

Simplifying Algebraic Fractions

Algebraic Roots & Indices

Expanding & Simplifying Single Brackets, Expanding Double Brackets, Factorising Out Terms

Solving Linear Equations, Equations with Brackets & Fractions, Equations with Unknowns on Both Sides, Forming Equations from Words, Forming Equations from Shapes

Interpreting Inequalities, Representing Inequalities on a Number Line

Rearranging Formulas

Solving Simultaneous Equations, Forming Simultaneous Equations

Introduction to Sequences, Continuing Sequences, nth Terms of Linear Sequences, Quadratic & Cubic Sequences

Coordinates, Gradient of a Line, Midpoint of a Line, Length of a Line, Equations of Straight Lines (y = mx + c), Drawing Straight Line Graphs, Parallel Lines

Function Notation, Using Calculators to Sketch Graphs, Types of Graphs, Using Calculators to Solve Equations

Introduction to Lines & Angles, Rotational Symmetry, Lines of Symmetry, Properties of Polygons, Properties of Circles, Properties of 3D Shapes

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

Angles in Polygons, Angles in Parallel Lines

Bearings

Angle in a Semicircle, Tangent & Radius, Two Tangents from a Point

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

Pythagoras Theorem

Trigonometry to Find Lengths, Trigonometry to Find Angles

Translations, Reflections, Rotations, Enlargements

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

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

Discrete & Continuous Data, Mean, Median & Mode, Calculations with the Mean, Range, Quartiles & Interquartile Range, Averages from Tables, Using Calculators to Find Averages, Comparing Data Sets

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

Scatter Graphs & Correlation, Lines of Best Fit