GCSE Maths Notes



Standard Form

Simplifying Surds

Mode, Median and Mean

Finding Gradients and Equations of Lines

Finding the Highest Common Factor (HCF) of Two Numbers

Finding the Rule or nth Term for Simple Sequences

Volume

Finding the Mean of a Frequency Table

Finding the nth Term or Rule for Quadratic Sequences

Trigonometry - Right Angled Triangles - Finding an Angle

Estimating and Approximation

Circle Theorems - A Summary

Trial and Improvement

Direct and Inverse Proportion

The Quadratic Formula

Sketching a Quadratic Graph

Sine Rule

Cosine Rule

Completing The Square

Lengths, Areas and Volumes

Factorising into two Brackets When the Leading Term is x2

Solving Simultaneous Equations Algebraically

Factorising Simple Expressions

Pythagoras Theorem

Compound Interest

Solving Simple Equations

Trigonometry - Right Angled Triangles - Finding a Side

Long Multiplication

Multiplying, Dividing, Adding and Subtracting Fractions and Mixed Fractions

Decimal Places and Significant Figures

Solving Inequalities Algebraically

Finding the Lowest Common Multiple (LCM) of Two Numbers

Units, Conversion Factors and Constants

Percentages, Decimals and Fractions

Percentages and Finding the Original Price

Maximising and Minimising Expressions

Multiplying Decimal Numbers

Scales and Maps

The Relationship Between Boxplots and Cumulative Frequency Curves

Summary of Transformations – Translations, Rotations, Reflections, Enlargements

Factorising General Quadratics and Differences of Squares

Histograms

Cumulative Frequency Curves. Quartiles, Interquartile Range and Median

Five Figure Summaries and Boxplots

Stem and Leaf Diagrams

Pie Charts

Dividing in Certain Ratios

Probability and Tree Diagrams

BODMAS

Bearings

Enlargements and Negative Scale Factors




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