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# GCSE Maths AQA - Higher

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**Student Notes**

**Student Notes**

Student Notes Edexcel/AQA

**Number, Algebra, Ratio, Proportion & Rates of Change**

**Number**

Highest Common Factors & Least Common Multiples

Prime Numbers

Negative Numbers

Index Laws (for Numbers and Letters)

Rounding

Standard Form

Fractions and Mixed Numbers

Surds and Pi

Error Intervals

**Ratio, Proportion & Rates of Change**

Ratios

Convert Volume Measures & Currency Exchange Rates

Compound Measures (Speed, Density & Pressure)

Simple Percentages

Reverse Percentages

Compound Interest

Direct, Inverse & Complex Proportion Problems

**Algebra**

Substitute Numbers into a Formula

Expanding Brackets

Factorising

Set Up Simple Linear Equations

Solve Simple Linear Equations

Change the Subject of a Formula

Solve Simple Linear Inequalities

Solve Quadratic Equations by Factorisation

Solve Simultaneous Linear Equations

Continuing Sequences

nth Term of Linear Sequences

Straight Line Equations

Parallel and Perpendicular Lines

Plotting & Sketching Quadratics and Cubics

Reciprocals

**Geometry and Measures**

**Geometry and Measures**

Angles in Polygons

Angles in Triangles and Parallel Lines

Properties of Quadrilaterals

Pythagoras' Theorem

Using Trigonometry

Bearings

3D Shapes (Drawing Front, Plan & Elevation Views)

Circle Properties and Circle Theorems

Calculate Arc Lengths and Sector & Segment Areas

Draw Basic Constructions

Construct Basic Loci

Describe Transformations

Understand Conditions for Congruent Triangles

Calculate Lengths in Similar Triangles

Vectors

**Probability and Statistics**

**Probability**

Estimate & Multiply Probabilities

Sets and Venn Diagrams

**Statistics**

Recognise Correlation using Lines of Best Fit

Sampling

Basic Statistical Calculations (Mean, Median & Mode)

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We also recommend that you use an up-to-date copy of the specification from your examination board's website.