Edexcel · GCSE

Your journey to excellence inMathematics

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Ordering and inequalities

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Algebra notation

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Ratio notation

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Geometric language and notation

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Randomness and fairness

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Sampling and bias

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Place value and decimals

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Substitution

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Simplifying ratios

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Angle facts

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Probability scale (0 to 1)

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Data types

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Four operations

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Expressions and terms

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Sharing in a ratio

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Angles on lines

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Relative frequency

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Frequency tables

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Written methods

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Collecting like terms

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Ratio and fractions

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Angles in triangles

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Theoretical probability

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Bar charts

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Negative number calculations

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Expanding brackets

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Ratio and algebra

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Angles in polygons

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Sample spaces

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Pie charts

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Inverse operations

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Factorising expressions

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Best buys and unit pricing

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Parallel line angles

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Listing outcomes systematically

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Pictograms

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BIDMAS and brackets

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Quadratic factorising

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Direct proportion

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Bearings

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Frequency tables and trees

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Line graphs and time series

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Factors and multiples

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Difference of two squares

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Inverse proportion

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Constructions

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Mutually exclusive events

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Frequency polygons

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Prime numbers

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Algebraic fractions

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Proportion graphs

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Loci

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Complementary events

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Histograms (equal classes)

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Prime factorisation

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Simplifying algebraic fractions

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Proportion equations

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Perimeter and area

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Tree diagrams

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Histograms (unequal classes)

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HCF and LCM

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Rearranging formulae

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Percentage as “per hundred”

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Area of triangles

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Independent events

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Cumulative frequency graphs

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Squares, cubes, roots

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Identities and proof

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Percentage comparisons

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Area of trapezia

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Dependent events

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Box plots

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Index laws

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Linear equations

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Percentage increase/decrease

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Circles: circumference

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Conditional probability

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Mean, median, mode

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Fractional indices

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Quadratic equations

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Percentage multipliers

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Circles: area

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Two-way tables

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Modal class

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Surds and simplification

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Completing the square

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Growth and decay

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Arc length

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Venn diagrams

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Range and outliers

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Rationalising surds

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Quadratic formula

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Compound interest

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Sector area

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Expected outcomes

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Quartiles and IQR

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Standard form

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Simultaneous equations

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Repeated percentage change

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Surface area

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Comparing distributions

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Fraction–decimal conversion

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Linear inequalities

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Speed calculations

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Volume of prisms

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Scatter graphs

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Recurring decimals to fractions

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Quadratic inequalities

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Density calculations

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Volume of cylinders

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Correlation and causation

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Fraction calculations

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Coordinates and plotting

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Pressure calculations

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Volume of pyramids and cones

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Line of best fit

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Fractions in context

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Straight line graphs

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Rates of pay

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Spheres: volume and surface area

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Interpolation and extrapolation

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Percentages as operators

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Gradient and intercept

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Scale factors

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Congruence criteria

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Percentage change

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Parallel and perpendicular lines

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Scale drawings and maps

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Similarity and enlargement

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Reverse percentages

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Graphs of quadratic functions

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Similarity in shapes

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Transformations

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Simple interest

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Graphs of cubic functions

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Similarity in area/volume

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Reflections and rotations

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Standard units

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Reciprocal graphs

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Gradient as rate of change

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Translations and vectors

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Compound units

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Exponential graphs

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Average and instantaneous rate

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Combined transformations

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Time and money calculations

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Trig function graphs

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Pythagoras’ theorem

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Rounding and significant figures

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Transformations of graphs

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Trigonometry in right triangles

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Estimation and checks

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Iteration methods

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Sine, cosine, tangent ratios

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Error intervals

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Sequences from rules

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Exact trig values

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Upper and lower bounds

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Arithmetic sequences

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Sine rule

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Quadratic sequences

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Cosine rule

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Fibonacci-type sequences

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Area of triangle (½ab sin C)

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Functions and notation

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Circle theorems

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Equation of a circle

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Tangents and radii

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Tangents to circles

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Vectors in geometry

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Rates from graphs

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Vector proofs

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Areas under graphs

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