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GCSE Maths Foundation Topics

Number

Types of Number and BODMAS

  • Wordy Real-Life Problems

  • Multiplying and Dividing by 10, 100, etc.

    • Whole Numbers, Decimals

  • Negative Numbers & Prime Numbers

  • Multiples, Factors and Prime Factors

  • LMC and HCF

  • Fractions without a Calculator

  • Fractions, Decimals and Percentages

  • Rounding & Estimating Numbers

  • Powers, Roots, Standard Form

Algebra

  • Simplifying & Multiplying & Dividing

  • Multiplying Double Brackets

  • Factorising, Solving Equations

  • Expressions, Formulas & Functions

  • Formulas & Equations from Words

  • Formulas & Equations from Diagrams

  • Rearranging Formulas

  • Sequences

  • Inequalities

  • Quadratic & Simultaneous Equations Proof

Graphs

  • Coordinates & Midpoints

  • Straight-Line Graphs

  • Drawing Straight-Line Graphs

  • Straight-Line Graphs - Gardients

  • Straight-Line Graphs - y = mx + c

  • Using y = mx + c

  • Quadratic Graphs

  • Harder Graphs

  • Solving Equations Using Graphs

  • Distance-Time Graphs

  • Real-Life Graph

Ratio, Proportion and Rates of Change
Ratios

  • Direct & Inverse Proportion Problems

  • Percentages

  • Compound Growth and Decay

  • Unit Conversions

  • Area and Volume Conversions

  • Time Intervals

  • Speed, Density and Pressure

Shapes and Area

  • Properties of 2D shapes

  • Congruent Shapes & Similar Shapes

  • The Four Transformations

  • Perimeter and Area

  • Perimeter and Area - Circles

  • 3D Shape,  Surface Area, Volume

  • Projections

Angles and Geometry

  • Angle Basics

  • Five Angle Rules

  • Parallel Lines

  • Geometry Problems

  • Angles in Polygons

  • Triangle Construction

  • Loci and Construction

  • Bearings

  • Maps and Scale Drawings

  • Pythagoras' Theorem

  • Trigonometry - Sin, Cos, Tan

  • Trigonometry - Common Values

  • Vectors - Theory

Probability and Statistics

  • Probability Basics

  • More Probability

  • Probability Experiments

  • The AND / OR Rules

  • Tree Diagrams

  • Sets and Venn Diagrams

  • Sampling and Bias

  • Collecting Data

  • Mean, Median, Mode and Range

  • Simple Charts and Graphs

  • Pie Charts

  • Scatter Graphs

  • Frequency Tables - Finding Averages

  • Grouped Frequency Tables

  • Interpreting Data

  • Comparing Data Sets

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