AQA GCSE Maths: Foundation Exam Questions By Topic

Mathematical Operations, Order of Operations (BIDMAS/BODMAS), Place Value, Negative Numbers, Money Calculations, Addition & Subtraction, Multiplication & Division, Related Calculations, Counting Principles

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

Introduction to Percentages, Percentages of Amounts, Percentage Increases & Decreases, Percentage Change, Reverse Percentages

Simple Interest, Compound Interest, Depreciation, Exponential Growth & Decay

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

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

Exact Values

Using a Calculator

Algebraic Notation, Algebraic Vocabulary, Substitution, Collecting Like Terms

Algebraic Roots & Indices

Expanding & Simplifying Single Brackets, Expanding Double Brackets

Factorising Out Terms, Factorising Quadratics, Difference of Two Squares

Rearranging Formulas

Algebraic Reasoning

Solving Linear Equations, Equations with Brackets & Fractions, Equations with Unknowns on Both Sides

Solving Quadratic Equations

Simultaneous Equations

Forming Equations from Words, Forming Equations from Shapes

Introduction to Functions

Coordinates, Midpoint of a Line, Gradient of a Line

Equations of Straight Lines (y = mx + c), Drawing Straight Line Graphs, Parallel Lines

Types of Graphs, Quadratic Graphs, Drawing Graphs from Tables

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

Interpreting Inequalities, Representing Inequalities on a Number Line, Solving Linear Inequalities

Introduction to Sequences, Continuing Sequences, Types of Sequences, nth Terms of Linear Sequences

Introduction to Ratios, Equivalent & Simplified Ratios, Sharing in a Ratio

Ratios with Fractions, Decimals & Percentages, Multiple Ratios

Direct & Inverse Proportion

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

Exchange Rates, Best Buys

Introduction to Lines & Angles, Rotational Symmetry, Lines of Symmetry, Planes of Symmetry

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

Properties of Polygons, Properties of 3D Shapes, Nets of Solids, Plans & Elevations

Bearings, Scale, Constructing Triangles, Constructions, Loci

Perimeter, Area, Adding & Subtracting Areas, Problem Solving with Areas

Properties of Circles, Area & Circumference of Circles, Arc Lengths & Sector Areas

Volume, Problem Solving with Volumes, Surface Area

Congruence, Congruent Triangles, Similarity, Similar Lengths, Geometrical Proof

Pythagoras Theorem, Trigonometry to Find Lengths, Trigonometry to Find Angles, Angles of Elevation & Depression, Exact Trig Values

Introduction to Column Vectors, Representing Vectors as Diagrams, Finding Vector Paths

Translations, Reflections, Rotations, Enlargements

Basic Probability, Sample Space Diagrams, Relative & Expected Frequency

Two-Way Tables, Frequency Trees, Set Notation & Venn Diagrams, Probabilities from Venn Diagrams

Probability Tree Diagrams, Combined Probability

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

Tally Charts & Frequency Tables, Bar Charts & Pictograms, Pie Charts, Time Series Graphs, Reading & Interpreting Statistical Diagrams, Comparing Statistical Diagrams

Scatter Graphs & Correlation, Lines of Best Fit