OCR 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

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

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

Powers & Roots, Laws of Indices, Converting to & from Standard Form, Operations with Standard Form

Exact Values

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

Using a Calculator

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

Ratios with Fractions, Decimals & Percentages, Multiple Ratios

Direct & Inverse Proportion

Exchange Rates, Best Buys

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

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

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

Solving Quadratic Equations

Simultaneous Equations

Forming Equations from Words, Forming Equations from Shapes

Introduction to Functions

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

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

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

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

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

Translations, Reflections, Rotations, Enlargements

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

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

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

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