GCSE Maths topics
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Foundation topics · Higher topics · Grade boundaries · Exam dates · Formula sheet · Worked examples by topic · Practice questions by topic · Key terms A to Z · Revision timetable guide
Number
Grade 1 Place value
FoundationGrade 1 Addition & subtraction
FoundationGrade 1 Multiplication & division
FoundationGrade 1 Negative numbers
FoundationGrade 1 Rounding
FoundationGrade 1 BIDMAS
FoundationGrade 1 Powers & roots
FoundationGrade 1 Factors & multiples
FoundationGrade 1 Writing, simplifying & ordering fractions
FoundationGrade 1 Time
FoundationGrade 1 Metric conversions
FoundationGrade 2 Calculation problems
FoundationGrade 2 Using a calculator
FoundationGrade 2 Systematic listing
FoundationGrade 2 Fractions of an amount
FoundationGrade 2 Fractions, decimals & percentages (FDP)
FoundationGrade 3 Error intervals
Foundation and HigherGrade 3 Fractions
Foundation and HigherGrade 3 Estimating
Foundation and HigherGrade 3 Percentages
Foundation and HigherGrade 3 Percentage change
Foundation and HigherGrade 3 Non-calculator arithmetic tricks
Foundation and HigherGrade 4 Compound interest & depreciation
Foundation and HigherGrade 4 Indices
Foundation and HigherGrade 4 Prime factors, HCF & LCM
Foundation and HigherGrade 5 Reverse percentages
Foundation and HigherGrade 5 Standard form
Foundation and HigherGrade 6 Recurring decimals to fractions
HigherGrade 6 Fractional & negative indices
HigherGrade 6 The product rule for counting
HigherGrade 6 Repeated percentage change
Foundation and HigherGrade 7 Surds
HigherGrade 7 Bounds
Higher
FoundationGrade 1 Addition & subtraction
FoundationGrade 1 Multiplication & division
FoundationGrade 1 Negative numbers
FoundationGrade 1 Rounding
FoundationGrade 1 BIDMAS
FoundationGrade 1 Powers & roots
FoundationGrade 1 Factors & multiples
FoundationGrade 1 Writing, simplifying & ordering fractions
FoundationGrade 1 Time
FoundationGrade 1 Metric conversions
FoundationGrade 2 Calculation problems
FoundationGrade 2 Using a calculator
FoundationGrade 2 Systematic listing
FoundationGrade 2 Fractions of an amount
FoundationGrade 2 Fractions, decimals & percentages (FDP)
FoundationGrade 3 Error intervals
Foundation and HigherGrade 3 Fractions
Foundation and HigherGrade 3 Estimating
Foundation and HigherGrade 3 Percentages
Foundation and HigherGrade 3 Percentage change
Foundation and HigherGrade 3 Non-calculator arithmetic tricks
Foundation and HigherGrade 4 Compound interest & depreciation
Foundation and HigherGrade 4 Indices
Foundation and HigherGrade 4 Prime factors, HCF & LCM
Foundation and HigherGrade 5 Reverse percentages
Foundation and HigherGrade 5 Standard form
Foundation and HigherGrade 6 Recurring decimals to fractions
HigherGrade 6 Fractional & negative indices
HigherGrade 6 The product rule for counting
HigherGrade 6 Repeated percentage change
Foundation and HigherGrade 7 Surds
HigherGrade 7 Bounds
Higher
Algebra
Grade 1 Coordinates
FoundationGrade 2 Simplifying algebra
FoundationGrade 2 Writing an expression
FoundationGrade 2 Function machines
FoundationGrade 2 Solving one-step equations
FoundationGrade 2 Sequences: rules and special sequences
FoundationGrade 3 Substitution
Foundation and HigherGrade 3 Solving linear equations
Foundation and HigherGrade 3 Drawing linear graphs
Foundation and HigherGrade 4 Real-life & distance–time graphs
Foundation and HigherGrade 4 Inequalities
Foundation and HigherGrade 4 Forming & solving equations
Foundation and HigherGrade 4 Sequences (nth term)
Foundation and HigherGrade 4 Expanding & factorising
Foundation and HigherGrade 5 Changing the subject of a formula
Foundation and HigherGrade 5 Expanding & factorising quadratics
Foundation and HigherGrade 5 Solving quadratics by factorising
Foundation and HigherGrade 5 Drawing quadratic graphs
Foundation and HigherGrade 5 Cubic and reciprocal graphs
Foundation and HigherGrade 5 Simultaneous equations
Foundation and HigherGrade 5 Simultaneous equations graphically
Foundation and HigherGrade 5 Midpoint of a line segment
Foundation and HigherGrade 5 Gradient of a line
Foundation and HigherGrade 5 Equation of a line
Foundation and HigherGrade 5 Exam technique: “show that” questions
Foundation and HigherGrade 6 Expanding triple brackets
HigherGrade 6 Parallel & perpendicular lines
HigherGrade 6 Inequalities on graphs
HigherGrade 7 The quadratic formula
HigherGrade 7 Harder factorising (ax² + bx + c)
HigherGrade 7 Algebraic fractions
HigherGrade 7 Harder rearranging formulae
HigherGrade 7 Trigonometric & exponential graphs
HigherGrade 7 Inverse & composite functions
HigherGrade 7 Iteration
HigherGrade 7 Geometric sequences
HigherGrade 8 Completing the square
HigherGrade 8 Quadratic simultaneous equations
HigherGrade 8 Transforming graphs y = f(x)
HigherGrade 8 Proof
HigherGrade 8 The nth term of a quadratic sequence
HigherGrade 8 Quadratic inequalities
HigherGrade 8 Velocity–time graphs
HigherGrade 8 Gradient of a curve
HigherGrade 8 Equation of a circle
Higher
FoundationGrade 2 Simplifying algebra
FoundationGrade 2 Writing an expression
FoundationGrade 2 Function machines
FoundationGrade 2 Solving one-step equations
FoundationGrade 2 Sequences: rules and special sequences
FoundationGrade 3 Substitution
Foundation and HigherGrade 3 Solving linear equations
Foundation and HigherGrade 3 Drawing linear graphs
Foundation and HigherGrade 4 Real-life & distance–time graphs
Foundation and HigherGrade 4 Inequalities
Foundation and HigherGrade 4 Forming & solving equations
Foundation and HigherGrade 4 Sequences (nth term)
Foundation and HigherGrade 4 Expanding & factorising
Foundation and HigherGrade 5 Changing the subject of a formula
Foundation and HigherGrade 5 Expanding & factorising quadratics
Foundation and HigherGrade 5 Solving quadratics by factorising
Foundation and HigherGrade 5 Drawing quadratic graphs
Foundation and HigherGrade 5 Cubic and reciprocal graphs
Foundation and HigherGrade 5 Simultaneous equations
Foundation and HigherGrade 5 Simultaneous equations graphically
Foundation and HigherGrade 5 Midpoint of a line segment
Foundation and HigherGrade 5 Gradient of a line
Foundation and HigherGrade 5 Equation of a line
Foundation and HigherGrade 5 Exam technique: “show that” questions
Foundation and HigherGrade 6 Expanding triple brackets
HigherGrade 6 Parallel & perpendicular lines
HigherGrade 6 Inequalities on graphs
HigherGrade 7 The quadratic formula
HigherGrade 7 Harder factorising (ax² + bx + c)
HigherGrade 7 Algebraic fractions
HigherGrade 7 Harder rearranging formulae
HigherGrade 7 Trigonometric & exponential graphs
HigherGrade 7 Inverse & composite functions
HigherGrade 7 Iteration
HigherGrade 7 Geometric sequences
HigherGrade 8 Completing the square
HigherGrade 8 Quadratic simultaneous equations
HigherGrade 8 Transforming graphs y = f(x)
HigherGrade 8 Proof
HigherGrade 8 The nth term of a quadratic sequence
HigherGrade 8 Quadratic inequalities
HigherGrade 8 Velocity–time graphs
HigherGrade 8 Gradient of a curve
HigherGrade 8 Equation of a circle
Higher
Statistics
Grade 1 Pictograms
FoundationGrade 2 Averages
FoundationGrade 2 Pie charts
FoundationGrade 2 Bar charts
FoundationGrade 2 Stem and leaf
FoundationGrade 2 Frequency polygons
FoundationGrade 3 Frequency trees
Foundation and HigherGrade 3 Two-way tables
Foundation and HigherGrade 3 Line graphs and time series
Foundation and HigherGrade 4 Averages from frequency tables
Foundation and HigherGrade 4 Scatter graphs
Foundation and HigherGrade 4 Sampling & bias
Foundation and HigherGrade 6 Cumulative frequency
HigherGrade 6 Box plots
HigherGrade 6 Capture recapture
HigherGrade 7 Histograms
Higher
FoundationGrade 2 Averages
FoundationGrade 2 Pie charts
FoundationGrade 2 Bar charts
FoundationGrade 2 Stem and leaf
FoundationGrade 2 Frequency polygons
FoundationGrade 3 Frequency trees
Foundation and HigherGrade 3 Two-way tables
Foundation and HigherGrade 3 Line graphs and time series
Foundation and HigherGrade 4 Averages from frequency tables
Foundation and HigherGrade 4 Scatter graphs
Foundation and HigherGrade 4 Sampling & bias
Foundation and HigherGrade 6 Cumulative frequency
HigherGrade 6 Box plots
HigherGrade 6 Capture recapture
HigherGrade 7 Histograms
Higher
Geometry & measures
Grade 2 Angles
FoundationGrade 2 Area & perimeter
FoundationGrade 3 Conversions & units
Foundation and HigherGrade 3 Scale drawings
Foundation and HigherGrade 3 Area and circumference of circles
Foundation and HigherGrade 3 Transformations
Foundation and HigherGrade 3 Area of compound shapes
Foundation and HigherGrade 4 Pythagoras
Foundation and HigherGrade 4 Angles in parallel lines
Foundation and HigherGrade 4 Angles in polygons
Foundation and HigherGrade 4 Surface area
Foundation and HigherGrade 4 Volume of a prism
Foundation and HigherGrade 4 Cylinders
Foundation and HigherGrade 4 Loci and constructions
Foundation and HigherGrade 4 Bearings
Foundation and HigherGrade 4 Plans & elevations
Foundation and HigherGrade 5 Spheres & cones
Foundation and HigherGrade 5 Sectors and arcs
Foundation and HigherGrade 5 Similar shapes: lengths
Foundation and HigherGrade 5 SOHCAHTOA (trigonometry)
Foundation and HigherGrade 5 Exact trig values
Foundation and HigherGrade 5 Vectors
Foundation and HigherGrade 6 Similar shapes: area & volume
HigherGrade 6 Enlarging with negative scale factors
HigherGrade 6 Circle theorems
HigherGrade 7 Area of any triangle
HigherGrade 7 The sine rule
HigherGrade 7 The cosine rule
HigherGrade 7 Congruent triangles
HigherGrade 7 Combined transformations
HigherGrade 7 3D Pythagoras & trigonometry
HigherGrade 8 Circle theorem proofs
HigherGrade 8 Equation of a tangent
HigherGrade 8 Vector proof questions
Higher
FoundationGrade 2 Area & perimeter
FoundationGrade 3 Conversions & units
Foundation and HigherGrade 3 Scale drawings
Foundation and HigherGrade 3 Area and circumference of circles
Foundation and HigherGrade 3 Transformations
Foundation and HigherGrade 3 Area of compound shapes
Foundation and HigherGrade 4 Pythagoras
Foundation and HigherGrade 4 Angles in parallel lines
Foundation and HigherGrade 4 Angles in polygons
Foundation and HigherGrade 4 Surface area
Foundation and HigherGrade 4 Volume of a prism
Foundation and HigherGrade 4 Cylinders
Foundation and HigherGrade 4 Loci and constructions
Foundation and HigherGrade 4 Bearings
Foundation and HigherGrade 4 Plans & elevations
Foundation and HigherGrade 5 Spheres & cones
Foundation and HigherGrade 5 Sectors and arcs
Foundation and HigherGrade 5 Similar shapes: lengths
Foundation and HigherGrade 5 SOHCAHTOA (trigonometry)
Foundation and HigherGrade 5 Exact trig values
Foundation and HigherGrade 5 Vectors
Foundation and HigherGrade 6 Similar shapes: area & volume
HigherGrade 6 Enlarging with negative scale factors
HigherGrade 6 Circle theorems
HigherGrade 7 Area of any triangle
HigherGrade 7 The sine rule
HigherGrade 7 The cosine rule
HigherGrade 7 Congruent triangles
HigherGrade 7 Combined transformations
HigherGrade 7 3D Pythagoras & trigonometry
HigherGrade 8 Circle theorem proofs
HigherGrade 8 Equation of a tangent
HigherGrade 8 Vector proof questions
Higher
Probability
Grade 2 Probability
FoundationGrade 4 Combined events
Foundation and HigherGrade 4 Relative frequency
Foundation and HigherGrade 5 Probability trees
Foundation and HigherGrade 5 Venn diagrams
Foundation and HigherGrade 5 Sets and set notation
Foundation and HigherGrade 7 Conditional probability
HigherGrade 8 Probability equation questions
Higher
FoundationGrade 4 Combined events
Foundation and HigherGrade 4 Relative frequency
Foundation and HigherGrade 5 Probability trees
Foundation and HigherGrade 5 Venn diagrams
Foundation and HigherGrade 5 Sets and set notation
Foundation and HigherGrade 7 Conditional probability
HigherGrade 8 Probability equation questions
Higher
Ratio, proportion & rates of change
Grade 3 Writing & simplifying ratio
Foundation and HigherGrade 3 Ratio
Foundation and HigherGrade 3 Proportion
Foundation and HigherGrade 3 Exchange rates
Foundation and HigherGrade 3 Best buy questions
Foundation and HigherGrade 5 Ratio as a fraction or linear function
Foundation and HigherGrade 5 Direct & inverse proportion
HigherGrade 5 Speed, density and pressure
Foundation and HigherGrade 6 Problem-solving with ratio & algebra
Foundation and HigherGrade 7 Direct & inverse proportion (algebraic)
Higher
Foundation and HigherGrade 3 Ratio
Foundation and HigherGrade 3 Proportion
Foundation and HigherGrade 3 Exchange rates
Foundation and HigherGrade 3 Best buy questions
Foundation and HigherGrade 5 Ratio as a fraction or linear function
Foundation and HigherGrade 5 Direct & inverse proportion
HigherGrade 5 Speed, density and pressure
Foundation and HigherGrade 6 Problem-solving with ratio & algebra
Foundation and HigherGrade 7 Direct & inverse proportion (algebraic)
Higher