GCSE Maths Higher Tier Revision Checklist

How to use this checklist: Tick off each topic as you complete your revision, practice questions, and past paper test prep. Master all 7 sections to secure your Grade 7 to 9 in GCSE Higher Maths!

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1. Algebra

34 Topics

Collecting Like Terms

Equations & Tangents of Circles

Substitution

Forming and Solving Equations

Laws of Indices

Solving Quadratic Equations

Expanding and Simplifying

The Quadratic Formula

Factorising Expressions

Completing the Square

Expanding Double Brackets

Solving Linear Inequalities

Factorising Quadratics

Graphical Inequalities

Expanding Triple Brackets

Solving Quadratic Inequalities

Rearranging Formulae

Linear Simultaneous Equations

Solving Equations

Quadratic Sim. Equations

Linear Sequences

Iterations

Quadratic Sequences

Function Calculations

Geometric Sequences

Inverse / Composite Functions

Linear Graphs

Simplifying Algebraic Fractions

Quadratic/Cubic Graphs

Algebraic Fraction Calculations

Reciprocal/Exponential Graphs

Graph Transformations

Perpendicular Lines

Algebraic Proof

2. Number

18 Topics

Multiply Decimals

Standard Form Calculations

Product Rule for Counting

Surds Calculations

Estimations

Rationalising Fractional Surds

Laws of Indices

Fraction Calculations

Negative and Fractional Indices

Recurring Decimals

Highest Common Factor (HCF)

Percentages of an Amount

Lowest Common Multiple (LCM)

Reverse Percentages

Product of Prime Factors

Error Intervals

Standard Form Conversions

Calculating with Bounds

3. Ratio & Proportion

18 Topics

Sharing in a Ratio

Direct Proportion

Three Part Ratios

Inverse Proportion

Writing Ratios as Fractions

Speed, Distance & Time

Recipes

Mass, Density & Volume

Exchange Rates

Pressure, Force & Area

Best Value Purchases

Velocity Time Graphs

Conversion Graphs

Area under a Graph

Compound Interest

Gradient of a Graph

Depreciation

Equating Ratios

4. Geometry

18 Topics

Triangles & Quadrilaterals

Volume of 3D Shapes

Area of 2D Shapes

Cylinders, Cones & Spheres

Angles in Parallel Lines

Transformations

Angles in Polygons

Bearings

Plans & Elevations

Similar Shapes

Construction & Loci

Congruent Triangles

Area & Circumference of Circles

Circle Theorems

Circle Sectors

Vectors

Surface Area of 3D Shapes

Geometric Proof

5. Trigonometry

10 Topics

Pythagoras Theorem

Cosine Rule

3D Pythagoras

3D Trigonometry

SOHCAHTOA Side Lengths

Area of a Triangle

SOHCAHTOA Angles

Exact Trigonometry

Sine Rule

Trigonometric Graphs

6. Statistics

13 Topics

Averages

Pie Charts

Reverse Mean

Interquartile Range

Averages from a Table

Box Plots

Grouped Frequency Tables

Averages from a Stem and Leaf

Scatter Graphs

Cumulative Frequency Graphs

Frequency Polygons

Histograms

Sampling and Bias

7. Probability

9 Topics

Probability from a Table

Two Way Tables

Relative Frequency

Probability Trees (Independent)

Venn Diagrams

Probability Trees (Dependent)

Set Theory

Probability Equations

Frequency Trees