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# GCSE Maths WJEC - Higher

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**Student Notes**

**Student Notes**

Student Notes OCR/WJEC/CCEA

**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)

#### key:

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**Note:**For quizzes where the content is the same at all levels, your highest score is shown with no adjustment and no asterisk, no matter what level the attempt was made at. Whether it is a pass or a fail is determined by the passmark for your current level.

**Disclaimer:** you and your teacher are responsible for ensuring that you are covering the right information and to the right depth.
We also recommend that you use an up-to-date copy of the specification from your examination board's website.