Download picture_as_pdf ## Higher GCSE Revision Checklist

## Number

#### Approximation and estimation

#### Arithmetic

#### Fractions

#### Powers and roots

#### Number properties

#### Standard form

#### Other

## Algebra

#### Equations and inequalities

#### Functions

#### Graphs

#### Manipulation

#### Sequences

## Ratio, proportion and rates of change

#### Compound measures

#### Conversions

#### Growth and decay

#### Percentages

#### Proportion

#### Ratio

## Geometry and measures

#### Angles

#### Length, area and volume

#### Pythagoras' theorem and trigonometry

#### Shape

#### Vectors

## Probability and Statistics

#### Probability

#### Statistical diagrams

#### Statistical measures

#### Population

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Rounding

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Estimation

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Bounds

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Error intervals

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Four Operations

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Negative numbers

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Equivalent fractions

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Fraction arithmetic

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Fractions of amounts

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One amount as a fraction of another

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Ordering fractions, decimals and percentages

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Recurring decimals to fractions

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Square and cube numbers and roots

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Simplifying surds

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Laws of indices

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Negative and fractional indices

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Product of prime factors

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Factors and multiples

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Lowest Common Multiple and Highest Common Factor

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Place value and ordering integers

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Product of prime factors

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Calculations

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Converting

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Using a calculator

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Equations of parallel lines

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Forming an equation

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Linear equations

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Linear inequalities

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Quadratic equations

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Quadratic inequalities

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Setting up and solving equations

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Simultaneous equations, linear and quadratic

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Equation of a tangent to a circle

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Number machines

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Inverse and composite functions

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Coordinates

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Gradient of a curve

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Straight line graphs

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Gradients of parallel and perpendicular lines

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Graphs of trigonometric functions

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Quadratic graphs

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Speed-time graphs

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Transformations of functions

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Algebraic fractions

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Changing the subject of a formula

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Difference of two squares

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Expanding brackets, single and double

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Factorising

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Forming and expression

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Laws of indices

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Simplifying

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Substitution

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Linear sequences

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Quadratic sequences

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Special sequences, including Fibonacci

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Average speed

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Density

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Pressure

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Mass, time and area

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Length

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Compound units

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Scale drawings

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Iterative processes

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Decimals to percentages

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Percentages to fractions

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One quantity as a percentage of another

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Compound and simple interest

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Percentage increase and decrease

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Percentage of an amount

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Reverse percentages

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Currency conversions

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Equations of proportion

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Direct proportion

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Inverse proportion

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Ratios in the form 1:n

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Ratios to fractions

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Sharing in a ratio

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Using ratio

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Writing as a ratio

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Angles in a polygon

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Corresponding and alternate angles

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Bearings

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Vertically opposite angles, angles around a point and angles on a straight line

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Circle theorems

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Area of a rectangle

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Area of a circle, and sector of a circle

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Area of parallelograms and trapeziums

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Area of a triangle

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Composite areas

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Similar and congruent triangles

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Surface area of a cuboid

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Volume of cubes and cuboids

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Vule and surface area of a prism

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Volume of composite solids

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Using Sine, Cosine and Tangent

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Exact trigonometric values

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Pythagoras' Theorem

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Sine and Cosine Rules

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Trigonometry in 3D

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Transformations

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Plans and elevations

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Quadrilaterals

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Reflection, rotation and enlargement

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Properties of triangles

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Column vectors

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Vector geometry

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Language of probability

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Dependent combined events

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Independent conbined events

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Probability trees

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Probability from a Venn diagram

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Venn diagrams

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Bar charts

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Box plots

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Cumulative frequency graphs

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Frequency tables

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Stem and leaf diagrams

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Two-way tables

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Frequency polygons

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Histograms

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Interquartile range

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Lower and upper quartiles

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Mean, Median, Mode and Range

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Sampling

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Comparing distributions