Stage 1
Place Value
Time
Negative numbers
Powers and roots
BIDMAS
Factors and multiples
Writing and simplifying Fractions
Coordinates
Pictograms
Stage 2
Addition and subtraction
Multiplication and division
Rounding
Systematics Listing
Simplifying algebra
Writing an expression
Probability
Stage 3
Calculation problems
Fractions, Decimals and percentages
Using a calculator
Substitution
Solving one step equations
Area and Perimeter
Angles
Averages
Bar charts
Stem and Leaf
Stage 4
Function machines
Frequency polygons
Fractions of an amount
Drawing graphs
Percentages
Writing and simplifying ratio
Fractions
Metric conversions
Conversions and units
Scale drawings
Stage 5
Percentages
Percentage change
Exchange rates
Ratio
Solving equations
Area and circumference of circles
Frequency trees
Two-way tables
Pie chart
Stage 6
Estimating
Error intervals
Prime factors, HCF and LCM
Indices
Expanding and Factorising
Plans and elevations
Transformations
Scatter graphs
Stage 7
Compound interest and depreciation
Sequences (Nth term)
Inequalities
Forming and solving equations
Pythagoras
Surface area
Volume of a prism
Cylinders
Averages from frequency tables
Probability
Stage 8
Standard form
Reverse percentages
Speed and density
Real life and distance time graphs
Expanding and factorising quadratics
Solving quadratics
Drawing quadratic graphs
Drawing other graphs: Cubic/reciprocal
Stage 9
Changing the subject of a formula
Gradient of a line
Equation of a line
Angles in parallel lines
Angles in Polygons
Loci and construction
Bearings
Vectors
Probability trees
Venn diagrams
Higher Only:
Stage 10
Writing a ratio as a fraction or linear function
Simultaneous equations
Solving simultaneous equations graphically
Direct and inverse proportion
Similar shapes (Lengths)
Spheres and cones
SOHCAHTOA (Trigonometry)
Exact trig values
Stage 11
Recurring decimals to fractions
Fractional and negative indices
Surds
Expanding triple brackets
Parallel and perpendicular lines
Inequalities on graphs
Rearranging harder formula
Enlarge with negative scale factors
Cumulative frequency
Box plots
Stage 12
The product rule for counting
Repeated percentage change
Similar shapes (Area and Volume)
Circle theorems
Direct and inverse proportion
Quadratic formula
Factorising Harder quadratics
Inverse and composite functions
Iteration
The nth term of a quadratic sequence
Stage 13
Bounds
Algebraic fractions
Trigonometric and exponential graphs
Proof
Completing the square
Finding the area of any triangle
The sine rule
The Cosine rule
3d Pythagoras and trigonometry
Histograms
Conditional probability
Stage 14
Quadratic simultaneous equations
Quadratic inequalities
Transforming graphs y-f(x)
Perpendicular lines and the equation of a tangent
Velocity time graphs
Congruent triangles
Vectors proof questions
Proof of circle theorems
Probability equation questions