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GCSEMathsAQAFoundationRevision Notes

AQA GCSE Maths: Foundation Revision Notes

Exam code: 8300

Concise resources for the AQA GCSE Maths: Foundation course.

Number

Mathematical Operations

Order of Operations (BIDMAS/BODMAS)

Negative Numbers

Money Calculations

Addition & Subtraction

Multiplication & Division

Related Calculations

Counting Principles

Types of Number

Multiples, Factors & Primes

Squares, Cubes & Roots

Prime Factor Decomposition

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

Exponential Growth & Decay

Converting Fractions, Decimals & Percentages

Ordering Fractions, Decimals & Percentages

Rounding to a Given Place Value

Rounding to Significant Figures

Error Intervals

Using a Calculator

Algebra

Algebraic Notation

Algebraic Vocabulary

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

Midpoint of a Line

Gradient of a Line

Equations of Straight Lines (y = mx + c)

Drawing Straight Line Graphs

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

Ratio, Proportion & Rates of Change

Introduction to Ratios

Equivalent & Simplified Ratios

Sharing in a Ratio

Ratios with Fractions, Decimals & Percentages

Multiple Ratios

Direct & Inverse Proportion

Converting between Units

Squared & Cubic Units

Compound Measures

Speed, Density & Pressure

Geometry & Measures

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

Plans & Elevations

Constructing Triangles

Adding & Subtracting Areas

Problem Solving with Areas

Properties of Circles

Area & Circumference of Circles

Arc Lengths & Sector Areas

Problem Solving with Volumes

Congruent Triangles

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

Probability

Basic Probability

Sample Space Diagrams

Relative & Expected Frequency

Frequency Trees

Set Notation & Venn Diagrams

Probabilities from Venn Diagrams

Probability Tree Diagrams

Combined Probability

Statistics

Mean, Median & Mode

Calculations with the Mean

Averages from Tables

Averages from Grouped Data

Comparing Data Sets

Population & Sampling

Tally Charts & Frequency Tables

Bar Charts & Pictograms

Time Series Graphs

Reading & Interpreting Statistical Diagrams

Comparing Statistical Diagrams

Scatter Graphs & Correlation

Lines of Best Fit

Exam boards

Study tools

Related links